Finite Group Databasebeta

← C23×#59095 #72339222

Subgroups — C23×#59095 #72339222

Order 2048.

2146200 conjugacy classes of subgroups.

The subgroup lattice has 2708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#2491C211yesmaximal, characteristic, complemented
2C23×#2452C211yesmaximal, characteristic, complemented
3C23×C4×#123C211yesmaximal, characteristic, complemented
4C23×#2445C211yesmaximal, characteristic, complemented
5C22×#59095C21224yesmaximal, direct product factor
6C24×#532C211yesmaximal, characteristic, complemented
7C24×#390C211yesmaximal, characteristic, complemented
8C23×#2361C211yesmaximal, characteristic, complemented
9C23×#2366C211yesmaximal, characteristic, complemented
10C23×#2670C212yesmaximal, complemented
11C23×#2456C212yesmaximal, complemented
12C23×#2676C212yesmaximal, complemented
13C23×#2541C211yesmaximal, characteristic, complemented
14C23×#2428C211yesmaximal, characteristic, complemented
15C23×#2416C211yesmaximal, characteristic, complemented
16C23×#2424C212yesmaximal, complemented
17C23×#2424C212yesmaximal, complemented
18C23×#2404C212yesmaximal, complemented
19C24×#546C212yesmaximal, complemented
20C23×D4×C22⋊C4C211yesmaximal, characteristic, complemented
21C23×#2433C211yesmaximal, characteristic, complemented
22C23×#2433C211yesmaximal, characteristic, complemented
23C23×#2410C212yesmaximal, complemented
24C24×D42C211yesmaximal, characteristic, complemented
25C25×#41C2212yescomplemented
26C26×D4C2211yescharacteristic
27C26×D4C2212yes—
28C26×D4C2211yescharacteristic
29C23×#546—2128no—
30C23×#546C221224yescomplemented
31C23×D42—264no—
32C23×D42C221112yescomplemented
33C23×#532—264no—
34C23×#532C221112yescomplemented
35C24×C4⋊Q8C2211yescharacteristic, complemented
36C24×#127C2211yescharacteristic
37C24×#127C2211yescharacteristic
38C24×#127C2211yescharacteristic, complemented
39C24×#127C2211yescharacteristic, complemented
40C24×#124C2212yescomplemented
41C24×#124C2212yescomplemented
42C24×#123C2211yescharacteristic
43C24×#123C2212yescomplemented
44C24×C22⋊Q8C2212yescomplemented
45C24×#121C2211yescharacteristic
46C24×#121C2212yes—
47C24×#121C2212yes—
48C24×#121C2211yescharacteristic
49C24×#121C2212yescomplemented
50C24×#121C2212yescomplemented
51C24×#121C2211yescharacteristic, complemented
52C24×#121C2212yescomplemented
53C24×#121C2212yescomplemented
54C24×#121C2211yescharacteristic, complemented
55C24×#120C2212yes—
56C24×#120C2212yes—
57C24×#120C2212yescomplemented
58C24×#120C2212yescomplemented
59C24×#120C2212yescomplemented
60C24×#120C2212yescomplemented
61C24×C4×D4C2211yescharacteristic
62C24×C4×D4C2211yescharacteristic
63C24×C4×D4C2211yescharacteristic, complemented
64C24×C4×D4C2212yescomplemented
65C24×C4×D4C2212yescomplemented
66C24×C4×D4C2211yescharacteristic, complemented
67C24×C4×D4C2212yescomplemented
68C24×C4×D4C2211yescharacteristic, complemented
69C25×C4⋊C4C2211yescharacteristic, complemented
70C25×C22⋊C4C2212yescomplemented
71C25×C22⋊C4C2212yescomplemented
72C25×C22⋊C4C2212yescomplemented
73C25×C42C2211yescharacteristic, complemented
74C2×#59095C2217168yesdirect product factor
75C22×#2676C221224yescomplemented
76C22×#2670C221224yescomplemented
77C22×#2541C221112yescomplemented
78C22×#2491C221112yescomplemented
79C22×#2404C221224yescomplemented
80C22×#2452C221112yescomplemented
81C22×#2445C221112yescomplemented
82C22×#2428C221112yescomplemented
83C22×#2433C221112yescomplemented
84C22×#2433C221112yescomplemented
85C22×#2416C221112yescomplemented
86C22×#2456C221224yescomplemented
87C22×#2424C221224yescomplemented
88C22×#2424C221224yescomplemented
89C22×#2410C221224yescomplemented
90C23×#396C2212yescomplemented
91C23×#396C2212yescomplemented
92C23×#394C2212yescomplemented
93C23×#394C2212yescomplemented
94C23×#394C2212yescomplemented
95C23×#394C2212yescomplemented
96C23×#394C2212yescomplemented
97C23×#393C2212yescomplemented
98C23×#393C2212yescomplemented
99C23×#392C2212yescomplemented
100C23×#392C2212yescomplemented
101C23×#392C2212yescomplemented
102C23×#392C2212yescomplemented
103C23×#392C2212yescomplemented
104C23×#392C2212yescomplemented
105C23×#392C2212yescomplemented
106C22×#2366C221112yescomplemented
107C22×#2361C221112yescomplemented
108C22×D4×C22⋊C4C221112yescomplemented
109C22×C4×#123C221112yescomplemented
110C23×#390C2211yescharacteristic
111C23×#390C2211yescharacteristic
112C23×#390C2211yescharacteristic
113C23×#390C2212yescomplemented
114C23×#390C2212yescomplemented
115C23×#390C2211yescharacteristic, complemented
116C23×#390C2211yescharacteristic, complemented
117C23×#390C2211yescharacteristic, complemented
118C23×#390C2211yescharacteristic, complemented
119C23×#390C2211yescharacteristic, complemented
120C23×#390C2212yescomplemented
121C23×#390C221112yescomplemented
122C23×#389C2211yescharacteristic, complemented
123C23×#389C2211yescharacteristic, complemented
124C23×#388C2211yescharacteristic, complemented
125C23×#388C2212yescomplemented
126C23×#388C2212yescomplemented
127C23×#388C2211yescharacteristic, complemented
128C23×#387C2211yescharacteristic, complemented
129C23×#387C2211yescharacteristic, complemented
130C23×#386C2211yescharacteristic
131C23×#386C2212yescomplemented
132C23×#386C2212yescomplemented
133C23×#386C2212yescomplemented
134C23×#386C2212yescomplemented
135C23×#386C2212yescomplemented
136C23×#386C2212yescomplemented
137C23×#386C2212yescomplemented
138C23×#386C2212yescomplemented
139C23×#385C2211yescharacteristic, complemented
140C23×#385C2212yescomplemented
141C23×#385C2212yescomplemented
142C23×#381C2211yescharacteristic, complemented
143C23×#380C2211yescharacteristic, complemented
144C23×#379C2212yescomplemented
145C23×C4×C4⋊C4C2211yescharacteristic, complemented
146C23×C4×C4⋊C4C2211yescharacteristic, complemented
147C23×C4×C4⋊C4C2211yescharacteristic, complemented
148C23×C4×C22⋊C4C2211yescharacteristic, complemented
149C23×C4×C22⋊C4C2211yescharacteristic, complemented
150C23×C4×C22⋊C4C2211yescharacteristic, complemented
151C28C2312yes—
152C28C2312yes—
153C24×#41—264no—
154C24×#41—264no—
155C24×#41—432no—
156C24×#41C231112yescomplemented
157C25×Q8C2312yes—
158C25×D4—264no—
159C25×D4—232no—
160C25×D4—264no—
161C25×D4—232no—
162C25×D4—232no—
163C25×D4—232no—
164C25×D4—416no—
165C25×D4—416no—
166C25×D4—432no—
167C25×D4C2311yescharacteristic
168C25×D4C2312yes—
169C25×D4C2311yescharacteristic
170C25×D4C2312yes—
171C25×D4C2312yes—
172C25×D4C2312yes—
173C25×D4C2312yes—
174C25×D4C23156yes—
175C25×D4C2312yes—
176C25×D4C2312yes—
177C25×D4C2312yes—
178C25×D4C231112yes—
179C25×D4C23156yes—
180C25×D4C2311yescharacteristic
181C25×D4C2311yescharacteristic
182C25×D4C2312yes—
183C25×D4C2311yescharacteristic
184C25×D4C2312yes—
185C25×D4C2312yes—
186C25×D4C2312yes—
187C25×D4C2312yes—
188C25×D4C2312yes—
189C26×C4C2311yescharacteristic
190C26×C4C2311yescharacteristic
191C26×C4C2312yes—
192C26×C4C2312yes—
193C26×C4C2312yes—
194C26×C4C2311yescharacteristic
195C26×C4C2311yescharacteristic
196C26×C4C2312yes—
197C26×C4C2312yes—
198C22×#546—27168no—
199C22×#546C2313584yescomplemented
200C22×D42—23584no—
201C22×D42C2311792yescomplemented
202C22×#532—23584no—
203C22×#532C2311792yescomplemented
204C23×C4⋊Q8—232no—
205C23×C4⋊Q8C23156yescomplemented
206C23×#127—232no—
207C23×#127—232no—
208C23×#127—232no—
209C23×#127—416no—
210C23×#127C23156yes—
211C23×#127C23156yes—
212C23×#127C23156yescomplemented
213C23×#127C23156yescomplemented
214C23×#124—264no—
215C23×#124—264no—
216C23×#124C231112yescomplemented
217C23×#124C231112yescomplemented
218C23×#123—264no—
219C23×#123D4164yescomplemented
220C23×#123C23156yes—
221C23×#123C231112yescomplemented
222C23×C22⋊Q8—264no—
223C23×C22⋊Q8C231112yescomplemented
224C23×#121—232no—
225C23×#121—264no—
226C23×#121—264no—
227C23×#121—264no—
228C23×#121—264no—
229C23×#121—264no—
230C23×#121—232no—
231C23×#121—416no—
232C23×#121—432no—
233C23×#121D4164yescomplemented
234C23×#121C231112yes—
235C23×#121C231112yes—
236C23×#121C23156yes—
237C23×#121C23156yes—
238C23×#121C231112yescomplemented
239C23×#121C231112yescomplemented
240C23×#121C23156yescomplemented
241C23×#121C231112yescomplemented
242C23×#121C231112yescomplemented
243C23×#121C23156yescomplemented
244C23×#120—264no—
245C23×#120—264no—
246C23×#120—264no—
247C23×#120—264no—
248C23×#120—432no—
249C23×#120—432no—
250C23×#120C231112yes—
251C23×#120C231112yes—
252C23×#120C231112yescomplemented
253C23×#120C231112yescomplemented
254C23×#120C231112yescomplemented
255C23×#120C231112yescomplemented
256C23×C4×D4—232no—
257C23×C4×D4—232no—
258C23×C4×D4—264no—
259C23×C4×D4—264no—
260C23×C4×D4—264no—
261C23×C4×D4—232no—
262C23×C4×D4—232no—
263C23×C4×D4—416no—
264C23×C4×D4C23156yes—
265C23×C4×D4C23156yes—
266C23×C4×D4C231112yescomplemented
267C23×C4×D4C231112yescomplemented
268C23×C4×D4C231112yescomplemented
269C23×C4×D4C23156yescomplemented
270C23×C4×D4C23156yescomplemented
271C23×C4×D4C23156yescomplemented
272C24×C4⋊C4—416no—
273C24×C4⋊C4C2311yescharacteristic
274C24×C4⋊C4C2311yescharacteristic
275C24×C4⋊C4C2311yescharacteristic
276C24×C4⋊C4C2311yescharacteristic
277C24×C4⋊C4C2312yes—
278C24×C4⋊C4C2312yes—
279C24×C4⋊C4C2311yescharacteristic
280C24×C4⋊C4C2312yes—
281C24×C4⋊C4C2312yes—
282C24×C4⋊C4C2311yescharacteristic
283C24×C4⋊C4C2311yescharacteristic
284C24×C4⋊C4C2311yescharacteristic
285C24×C4⋊C4C2311yescharacteristic
286C24×C4⋊C4C23156yescomplemented
287C24×C22⋊C4—264no—
288C24×C22⋊C4—264no—
289C24×C22⋊C4—432no—
290C24×C22⋊C4C2312yes—
291C24×C22⋊C4C2312yes—
292C24×C22⋊C4C2311yescharacteristic
293C24×C22⋊C4C2311yescharacteristic
294C24×C22⋊C4C2312yes—
295C24×C22⋊C4C2312yes—
296C24×C22⋊C4C2312yes—
297C24×C22⋊C4C2312yes—
298C24×C22⋊C4C2312yes—
299C24×C22⋊C4C2312yes—
300C24×C22⋊C4C2312yes—
301C24×C22⋊C4C2312yes—
302C24×C22⋊C4C2311yescharacteristic
303C24×C22⋊C4C2312yes—
304C24×C22⋊C4C2312yes—
305C24×C22⋊C4C2312yes—
306C24×C22⋊C4C2312yes—
307C24×C22⋊C4C2311yescharacteristic
308C24×C22⋊C4C2312yes—
309C24×C22⋊C4C2312yes—
310C24×C22⋊C4C2311yescharacteristic
311C24×C22⋊C4C2312yes—
312C24×C22⋊C4C2312yes—
313C24×C22⋊C4C2312yes—
314C24×C22⋊C4C2312yes—
315C24×C22⋊C4C2312yes—
316C24×C22⋊C4C2312yes—
317C24×C22⋊C4C2312yes—
318C24×C22⋊C4C2312yes—
319C24×C22⋊C4C2312yes—
320C24×C22⋊C4C2311yescharacteristic
321C24×C22⋊C4C2311yescharacteristic
322C24×C22⋊C4C2311yescharacteristic
323C24×C22⋊C4C231112yescomplemented
324C24×C22⋊C4C231112yescomplemented
325C24×C22⋊C4C231112yescomplemented
326C24×C42—232no—
327C24×C42C2311yescharacteristic
328C24×C42C2311yescharacteristic
329C24×C42C2311yescharacteristic
330C24×C42C2311yescharacteristic
331C24×C42C2311yescharacteristic
332C24×C42C2312yes—
333C24×C42C2311yescharacteristic
334C24×C42C2311yescharacteristic
335C24×C42C23156yescomplemented
336#59095C23132768yesdirect product factor
337C2×#2676C2313584yescomplemented
338C2×#2670C2313584yescomplemented
339C2×#2541C2311792yescomplemented
340C2×#2491C2311792yescomplemented
341C2×#2404C2313584yescomplemented
342C2×#2452C2311792yescomplemented
343C2×#2445C2311792yescomplemented
344C2×#2428C2311792yescomplemented
345C2×#2433C2311792yescomplemented
346C2×#2433C2311792yescomplemented
347C2×#2416C2311792yescomplemented
348C2×#2456C2313584yescomplemented
349C2×#2424C2313584yescomplemented
350C2×#2424C2313584yescomplemented
351C2×#2410C2313584yescomplemented
352C22×#396C231112yescomplemented
353C22×#396C231112yescomplemented
354C22×#394C231112yescomplemented
355C22×#394C231112yescomplemented
356C22×#394C231112yescomplemented
357C22×#394C231112yescomplemented
358C22×#394C231112yescomplemented
359C22×#393C231112yescomplemented
360C22×#393C231112yescomplemented
361C22×#392C231112yescomplemented
362C22×#392C231112yescomplemented
363C22×#392C231112yescomplemented
364C22×#392C231112yescomplemented
365C22×#392C231112yescomplemented
366C22×#392C231112yescomplemented
367C22×#392C231112yescomplemented
368C2×#2366C2311792yescomplemented
369C2×#2361C2311792yescomplemented
370C2×D4×C22⋊C4C2311792yescomplemented
371C2×C4×#123C2311792yescomplemented
372C22×#390C23156yes—
373C22×#390C23156yes—
374C22×#390C23156yes—
375C22×#390C231112yescomplemented
376C22×#390C231112yescomplemented
377C22×#390C23156yescomplemented
378C22×#390C23156yescomplemented
379C22×#390C231112yescomplemented
380C22×#390C23156yescomplemented
381C22×#390C23156yescomplemented
382C22×#390C23156yescomplemented
383C22×#390C2311792yescomplemented
384C22×#389C23156yescomplemented
385C22×#389C23156yescomplemented
386C22×#388C23156yescomplemented
387C22×#388C23156yescomplemented
388C22×#388C231112yescomplemented
389C22×#388C231112yescomplemented
390C22×#387C23156yescomplemented
391C22×#387C23156yescomplemented
392C22×#386C23156yes—
393C22×#386C231112yescomplemented
394C22×#386C231112yescomplemented
395C22×#386C231112yescomplemented
396C22×#386C231112yescomplemented
397C22×#386C231112yescomplemented
398C22×#386C231112yescomplemented
399C22×#386C231112yescomplemented
400C22×#386C231112yescomplemented
401C22×#385C23156yescomplemented
402C22×#385C231112yescomplemented
403C22×#385C231112yescomplemented
404C22×#381C23156yescomplemented
405C22×#380C23156yescomplemented
406C22×#379C231112yescomplemented
407C22×C4×C4⋊C4C23156yescomplemented
408C22×C4×C4⋊C4C23156yescomplemented
409C22×C4×C4⋊C4C23156yescomplemented
410C22×C4×C22⋊C4C23156yescomplemented
411C22×C4×C22⋊C4C23156yescomplemented
412C22×C4×C22⋊C4C23156yescomplemented
413C23×#95C2312yes—
414C23×#95C2311yescharacteristic
415C23×#95C2311yescharacteristic
416C23×#95C2311yescharacteristic
417C23×#95C2311yescharacteristic
418C23×#95C2311yescharacteristic
419C23×#95C2311yescharacteristic
420C23×#95C2312yes—
421C23×#95C2311yescharacteristic
422C23×#95C2312yes—
423C23×#95C2311yescharacteristic
424C23×#95C2311yescharacteristic
425C23×#95C2312yes—
426C23×#95C2311yescharacteristic
427C27—232no—
428C27—232no—
429C27—232no—
430C27—232no—
431C27—232no—
432C27—232no—
433C27—232no—
434C27—416no—
435C27—416no—
436C27—416no—
437C27—416no—
438C27—416no—
439C27—416no—
440C27—416no—
441C27C2412yes—
442C27C2412yes—
443C27C2412yes—
444C27C2411yescharacteristic
445C27C2412yes—
446C27C24156yes—
447C27C2411yescharacteristic
448C27C24156yes—
449C23×#41—21792no—
450C23×#41—21792no—
451C23×#41—4896no—
452C23×#41—42048no—
453C23×#41C241896yescomplemented
454C24×Q8—232no—
455C24×Q8—232no—
456C24×Q8—416no—
457C24×Q8C24156yes—
458C24×D4—216no—
459C24×D4—232no—
460C24×D4—216no—
461C24×D4—232no—
462C24×D4—232no—
463C24×D4—232no—
464C24×D4—232no—
465C24×D4—232no—
466C24×D4—232no—
467C24×D4—232no—
468C24×D4—232no—
469C24×D4—232no—
470C24×D4—232no—
471C24×D4—232no—
472C24×D4—232no—
473C24×D4—232no—
474C24×D4—232no—
475C24×D4—232no—
476C24×D4—21792no—
477C24×D4—2896no—
478C24×D4—21792no—
479C24×D4—2896no—
480C24×D4—2896no—
481C24×D4—216no—
482C24×D4—232no—
483C24×D4—232no—
484C24×D4—232no—
485C24×D4—216no—
486C24×D4—2896no—
487C24×D4—232no—
488C24×D4—232no—
489C24×D4—216no—
490C24×D4—232no—
491C24×D4—216no—
492C24×D4—216no—
493C24×D4—216no—
494C24×D4—216no—
495C24×D4—216no—
496C24×D4—216no—
497C24×D4—232no—
498C24×D4—216no—
499C24×D4—4448no—
500C24×D4—4448no—
501C24×D4—41024no—
502C24×D4—416no—
503C24×D4—416no—
504C24×D4—416no—
505C24×D4—416no—
506C24×D4—416no—
507C24×D4—416no—
508C24×D4—416no—
509C24×D4—416no—
510C24×D4—416no—
511C24×D4—416no—
512C24×D4—416no—
513C24×D4—416no—
514C24×D4—416no—
515C24×D4—416no—
516C24×D4—416no—
517C24×D4—416no—
518C24×D4—416no—
519C24×D4—416no—
520C24×D4—4896no—
521C24×D4—42048no—
522C24×D4—41024no—
523C24×D4C2×D4132yes—
524C24×D4C2×D4164yes—
525C24×D4C2×D4132yes—
526C24×D4#41132yescomplemented
527C24×D4C24128yes—
528C24×D4C24156yes—
529C24×D4C24128yes—
530C24×D4C241448yes—
531C24×D4C241896yes—
532C24×D4C241448yes—
533C24×D4C24156yes—
534C24×D4C24156yes—
535C24×D4C24156yes—
536C24×D4C24156yes—
537C24×D4C24156yes—
538C24×D4C24156yes—
539C24×D4C24156yes—
540C24×D4C24128yes—
541C24×D4C24156yes—
542C24×D4C24128yes—
543C24×D4C24128yes—
544C24×D4C24156yes—
545C24×D4C24156yes—
546C24×D4C24156yes—
547C24×D4C24156yes—
548C24×D4C24156yes—
549C25×C4—216no—
550C25×C4—216no—
551C25×C4—216no—
552C25×C4—216no—
553C25×C4—232no—
554C25×C4—216no—
555C25×C4—232no—
556C25×C4—232no—
557C25×C4—216no—
558C25×C4—232no—
559C25×C4—232no—
560C25×C4—232no—
561C25×C4—232no—
562C25×C4—216no—
563C25×C4—216no—
564C25×C4—216no—
565C25×C4—232no—
566C25×C4—48no—
567C25×C4—416no—
568C25×C4—416no—
569C25×C4—416no—
570C25×C4—416no—
571C25×C4—416no—
572C25×C4—416no—
573C25×C4—416no—
574C25×C4C2×D4132yes—
575C25×C4C2×D4132yescomplemented
576C25×C4C24128yes—
577C25×C4C2412yes—
578C25×C4C2411yescharacteristic
579C25×C4C2412yes—
580C25×C4C2412yes—
581C25×C4C2411yescharacteristic
582C25×C4C2411yescharacteristic
583C25×C4C2411yescharacteristic
584C25×C4C2411yescharacteristic
585C25×C4C24156yes—
586C25×C4C24156yes—
587C25×C4C24156yes—
588C25×C4C24128yes—
589C25×C4C24128yes—
590C25×C4C2411yescharacteristic
591C25×C4C2411yescharacteristic
592C25×C4C2412yes—
593C25×C4C2411yescharacteristic
594C25×C4C2411yescharacteristic
595C25×C4C2411yescharacteristic
596C25×C4C2411yescharacteristic
597C25×C4C24128yes—
598C25×C4C2411yescharacteristic
599C25×C4C24156yes—
600C25×C4C24156yes—
601C25×C4C2411yescharacteristic
602C2×#546—257344no—
603C2×#546C2418192yescomplemented
604C2×D42—228672no—
605C2×D42C2414096yescomplemented
606C2×#532—228672no—
607C2×#532C2414096yescomplemented
608C22×C4⋊Q8—2896no—
609C22×C4⋊Q8C241448yescomplemented
610C22×#127—2896no—
611C22×#127—2896no—
612C22×#127—2896no—
613C22×#127—4448no—
614C22×#127C241448yes—
615C22×#127C241448yes—
616C22×#127C241448yescomplemented
617C22×#127C241448yescomplemented
618C22×#124—21792no—
619C22×#124—21792no—
620C22×#124C241896yescomplemented
621C22×#124C241896yescomplemented
622C22×#123—21792no—
623C22×#123C2×D411792yescomplemented
624C22×#123C241448yes—
625C22×#123C241896yescomplemented
626C22×C22⋊Q8—21792no—
627C22×C22⋊Q8C241896yescomplemented
628C22×#121—21792no—
629C22×#121—21792no—
630C22×#121—2896no—
631C22×#121—2896no—
632C22×#121—21792no—
633C22×#121—21792no—
634C22×#121—21792no—
635C22×#121—4896no—
636C22×#121—4448no—
637C22×#121C2×D411792yescomplemented
638C22×#121C241896yes—
639C22×#121C241896yes—
640C22×#121C241448yes—
641C22×#121C241448yes—
642C22×#121C241896yescomplemented
643C22×#121C241896yescomplemented
644C22×#121C241896yescomplemented
645C22×#121C241448yescomplemented
646C22×#121C241896yescomplemented
647C22×#121C241448yescomplemented
648C22×#120—21792no—
649C22×#120—21792no—
650C22×#120—21792no—
651C22×#120—21792no—
652C22×#120—4896no—
653C22×#120—4896no—
654C22×#120C241896yes—
655C22×#120C241896yes—
656C22×#120C241896yescomplemented
657C22×#120C241896yescomplemented
658C22×#120C241896yescomplemented
659C22×#120C241896yescomplemented
660C22×C4×D4—2896no—
661C22×C4×D4—2896no—
662C22×C4×D4—2896no—
663C22×C4×D4—2896no—
664C22×C4×D4—21792no—
665C22×C4×D4—21792no—
666C22×C4×D4—21792no—
667C22×C4×D4—4448no—
668C22×C4×D4C241448yes—
669C22×C4×D4C241448yes—
670C22×C4×D4C241448yescomplemented
671C22×C4×D4C241896yescomplemented
672C22×C4×D4C241896yescomplemented
673C22×C4×D4C241896yescomplemented
674C22×C4×D4C241448yescomplemented
675C22×C4×D4C241448yescomplemented
676C23×C4⋊C4—216no—
677C23×C4⋊C4—232no—
678C23×C4⋊C4—232no—
679C23×C4⋊C4—216no—
680C23×C4⋊C4—232no—
681C23×C4⋊C4—216no—
682C23×C4⋊C4—216no—
683C23×C4⋊C4—216no—
684C23×C4⋊C4—4448no—
685C23×C4⋊C4—416no—
686C23×C4⋊C4—48no—
687C23×C4⋊C4C2×D4132yes—
688C23×C4⋊C4C2×D4132yescomplemented
689C23×C4⋊C4C2×D4132yescomplemented
690C23×C4⋊C4C24128yes—
691C23×C4⋊C4C24128yes—
692C23×C4⋊C4C24128yes—
693C23×C4⋊C4C24156yes—
694C23×C4⋊C4C24128yes—
695C23×C4⋊C4C24156yes—
696C23×C4⋊C4C24156yes—
697C23×C4⋊C4C24128yes—
698C23×C4⋊C4C24156yes—
699C23×C4⋊C4C24128yes—
700C23×C4⋊C4C24128yes—
701C23×C4⋊C4C24128yes—
702C23×C4⋊C4C24128yes—
703C23×C4⋊C4C241448yescomplemented
704C23×C22⋊C4—232no—
705C23×C22⋊C4—216no—
706C23×C22⋊C4—232no—
707C23×C22⋊C4—216no—
708C23×C22⋊C4—232no—
709C23×C22⋊C4—232no—
710C23×C22⋊C4—232no—
711C23×C22⋊C4—232no—
712C23×C22⋊C4—232no—
713C23×C22⋊C4—232no—
714C23×C22⋊C4—216no—
715C23×C22⋊C4—232no—
716C23×C22⋊C4—232no—
717C23×C22⋊C4—232no—
718C23×C22⋊C4—232no—
719C23×C22⋊C4—232no—
720C23×C22⋊C4—232no—
721C23×C22⋊C4—21792no—
722C23×C22⋊C4—232no—
723C23×C22⋊C4—232no—
724C23×C22⋊C4—216no—
725C23×C22⋊C4—21792no—
726C23×C22⋊C4—4896no—
727C23×C22⋊C4—416no—
728C23×C22⋊C4—416no—
729C23×C22⋊C4—48no—
730C23×C22⋊C4—416no—
731C23×C22⋊C4—416no—
732C23×C22⋊C4—416no—
733C23×C22⋊C4—416no—
734C23×C22⋊C4—416no—
735C23×C22⋊C4—416no—
736C23×C22⋊C4C2×D4164yes—
737C23×C22⋊C4C2×D4132yescomplemented
738C23×C22⋊C4C2×D4132yescomplemented
739C23×C22⋊C4C2×D4132yescomplemented
740C23×C22⋊C4C24156yes—
741C23×C22⋊C4C24156yes—
742C23×C22⋊C4C24156yes—
743C23×C22⋊C4C24156yes—
744C23×C22⋊C4C24156yes—
745C23×C22⋊C4C24156yes—
746C23×C22⋊C4C24156yes—
747C23×C22⋊C4C24156yes—
748C23×C22⋊C4C24128yes—
749C23×C22⋊C4C24156yes—
750C23×C22⋊C4C24128yes—
751C23×C22⋊C4C24156yes—
752C23×C22⋊C4C24156yes—
753C23×C22⋊C4C24156yes—
754C23×C22⋊C4C24156yes—
755C23×C22⋊C4C24156yes—
756C23×C22⋊C4C24156yes—
757C23×C22⋊C4C24128yes—
758C23×C22⋊C4C24128yes—
759C23×C22⋊C4C24156yes—
760C23×C22⋊C4C24156yes—
761C23×C22⋊C4C24156yes—
762C23×C22⋊C4C24156yes—
763C23×C22⋊C4C24156yes—
764C23×C22⋊C4C24156yes—
765C23×C22⋊C4C24156yes—
766C23×C22⋊C4C24156yes—
767C23×C22⋊C4C24156yes—
768C23×C22⋊C4C24128yes—
769C23×C22⋊C4C24156yes—
770C23×C22⋊C4C24128yes—
771C23×C22⋊C4C24128yes—
772C23×C22⋊C4C24128yes—
773C23×C22⋊C4C241896yescomplemented
774C23×C22⋊C4C241896yescomplemented
775C23×C22⋊C4C241896yescomplemented
776C23×C42—216no—
777C23×C42—216no—
778C23×C42—216no—
779C23×C42—216no—
780C23×C42—2896no—
781C23×C42—232no—
782C23×C42—216no—
783C23×C42—216no—
784C23×C42—216no—
785C23×C42C24128yes—
786C23×C42C24128yes—
787C23×C42C24128yes—
788C23×C42C24128yes—
789C23×C42C24128yes—
790C23×C42C24156yes—
791C23×C42C24128yes—
792C23×C42C24128yes—
793C23×C42C241448yescomplemented
794#2676C2418192yescomplemented
795#2670C2418192yescomplemented
796#2541C2414096yescomplemented
797#2491C2414096yescomplemented
798#2456C2418192yescomplemented
799#2452C2414096yescomplemented
800#2445C2414096yescomplemented
801#2433C2414096yescomplemented
802#2433C2414096yescomplemented
803#2428C2414096yescomplemented
804#2424C2418192yescomplemented
805#2424C2418192yescomplemented
806#2416C2414096yescomplemented
807#2410C2418192yescomplemented
808#2404C2418192yescomplemented
809C2×#396C241896yescomplemented
810C2×#396C241896yescomplemented
811C2×#394C241896yescomplemented
812C2×#394C241896yescomplemented
813C2×#394C241896yescomplemented
814C2×#394C241896yescomplemented
815C2×#394C241896yescomplemented
816C2×#393C241896yescomplemented
817C2×#393C241896yescomplemented
818C2×#392C241896yescomplemented
819C2×#392C241896yescomplemented
820C2×#392C241896yescomplemented
821C2×#392C241896yescomplemented
822C2×#392C241896yescomplemented
823C2×#392C241896yescomplemented
824C2×#392C241896yescomplemented
825#2366C2414096yescomplemented
826#2361C2414096yescomplemented
827D4×C22⋊C4C2414096yescomplemented
828C4×#123C2414096yescomplemented
829C2×#390C241448yes—
830C2×#390C241448yes—
831C2×#390C241448yes—
832C2×#390C241448yescomplemented
833C2×#390C241896yescomplemented
834C2×#390C241896yescomplemented
835C2×#390C241448yescomplemented
836C2×#390C241448yescomplemented
837C2×#390C241448yescomplemented
838C2×#390C241448yescomplemented
839C2×#390C241896yescomplemented
840C2×#390C2414096yescomplemented
841C2×#389C241448yescomplemented
842C2×#389C241448yescomplemented
843C2×#388C241896yescomplemented
844C2×#388C241448yescomplemented
845C2×#388C241896yescomplemented
846C2×#388C241448yescomplemented
847C2×#387C241448yescomplemented
848C2×#387C241448yescomplemented
849C2×#386C241448yes—
850C2×#386C241896yescomplemented
851C2×#386C241896yescomplemented
852C2×#386C241896yescomplemented
853C2×#386C241896yescomplemented
854C2×#386C241896yescomplemented
855C2×#386C241896yescomplemented
856C2×#386C241896yescomplemented
857C2×#386C241896yescomplemented
858C2×#385C241896yescomplemented
859C2×#385C241896yescomplemented
860C2×#385C241448yescomplemented
861C2×#381C241448yescomplemented
862C2×#380C241448yescomplemented
863C2×#379C241896yescomplemented
864C2×C4×C4⋊C4C241448yescomplemented
865C2×C4×C4⋊C4C241448yescomplemented
866C2×C4×C4⋊C4C241448yescomplemented
867C2×C4×C22⋊C4C241448yescomplemented
868C2×C4×C22⋊C4C241448yescomplemented
869C2×C4×C22⋊C4C241448yescomplemented
870C22×#95C24128yes—
871C22×#95C24128yes—
872C22×#95C24128yes—
873C22×#95C24128yes—
874C22×#95C24128yes—
875C22×#95C24128yes—
876C22×#95C24128yes—
877C22×#95C24128yes—
878C22×#95C24128yes—
879C22×#95C24156yes—
880C22×#95C24128yes—
881C22×#95C24156yes—
882C22×#95C24156yes—
883C22×#95C24156yes—
884C26—28no—
885C26—28no—
886C26—28no—
887C26—28no—
888C26—216no—
889C26—28no—
890C26—216no—
891C26—216no—
892C26—28no—
893C26—216no—
894C26—28no—
895C26—216no—
896C26—216no—
897C26—216no—
898C26—216no—
899C26—28no—
900C26—216no—
901C26—28no—
902C26—216no—
903C26—216no—
904C26—216no—
905C26—28no—
906C26—216no—
907C26—216no—
908C26—216no—
909C26—216no—
910C26—216no—
911C26—2448no—
912C26—216no—
913C26—216no—
914C26—216no—
915C26—216no—
916C26—216no—
917C26—216no—
918C26—216no—
919C26—216no—
920C26—216no—
921C26—2448no—
922C26—2448no—
923C26—2448no—
924C26—2448no—
925C26—2448no—
926C26—2448no—
927C26—4224no—
928C26—4224no—
929C26—4224no—
930C26—4224no—
931C26—4224no—
932C26—4224no—
933C26—4224no—
934C26—4512no—
935C26—4512no—
936C26—4512no—
937C26—4512no—
938C26—4512no—
939C26—4512no—
940C26—4512no—
941C26—8256no—
942C26—8256no—
943C26—8256no—
944C26—8256no—
945C26—8256no—
946C26—8256no—
947C26—8256no—
948C26C22×D4132yes—
949C26C22×D4116yes—
950C26C22×D4116yes—
951C26C22×D4116yes—
952C26C2×#41132yes—
953C26H(5,𝔽2)116yes—
954C26C25128yes—
955C26C25128yes—
956C26C25128yes—
957C26C25114yes—
958C26C25128yes—
959C26C251224yes—
960C26C25114yes—
961C26C251224yes—
962C26C2511yescharacteristic
963C22×#41—27168no—
964C22×#41—27168no—
965C22×#41—43584no—
966C22×#41—428672no—
967C22×#41C2511024yescomplemented
968C23×Q8—2448no—
969C23×Q8—2448no—
970C23×Q8—4224no—
971C23×Q8—4512no—
972C23×Q8C251224yes—
973C23×D4—2512no—
974C23×D4—21024no—
975C23×D4—2224no—
976C23×D4—2448no—
977C23×D4—2224no—
978C23×D4—2448no—
979C23×D4—2448no—
980C23×D4—2448no—
981C23×D4—2448no—
982C23×D4—2448no—
983C23×D4—2448no—
984C23×D4—2448no—
985C23×D4—2448no—
986C23×D4—2448no—
987C23×D4—2448no—
988C23×D4—2448no—
989C23×D4—2448no—
990C23×D4—2448no—
991C23×D4—2448no—
992C23×D4—2448no—
993C23×D4—27168no—
994C23×D4—23584no—
995C23×D4—27168no—
996C23×D4—23584no—
997C23×D4—23584no—
998C23×D4—2512no—
999C23×D4—2512no—
1000C23×D4—2224no—
1001C23×D4—2448no—
1002C23×D4—2448no—
1003C23×D4—2448no—
1004C23×D4—2224no—
1005C23×D4—23584no—
1006C23×D4—2448no—
1007C23×D4—2448no—
1008C23×D4—2224no—
1009C23×D4—2448no—
1010C23×D4—2224no—
1011C23×D4—2224no—
1012C23×D4—2224no—
1013C23×D4—2224no—
1014C23×D4—2224no—
1015C23×D4—2224no—
1016C23×D4—2448no—
1017C23×D4—2224no—
1018C23×D4—41792no—
1019C23×D4—41792no—
1020C23×D4—414336no—
1021C23×D4—4224no—
1022C23×D4—4224no—
1023C23×D4—4224no—
1024C23×D4—4224no—
1025C23×D4—4224no—
1026C23×D4—4224no—
1027C23×D4—4224no—
1028C23×D4—4512no—
1029C23×D4—4512no—
1030C23×D4—4512no—
1031C23×D4—4512no—
1032C23×D4—4512no—
1033C23×D4—4512no—
1034C23×D4—4224no—
1035C23×D4—4224no—
1036C23×D4—4224no—
1037C23×D4—4224no—
1038C23×D4—4224no—
1039C23×D4—4224no—
1040C23×D4—4224no—
1041C23×D4—4224no—
1042C23×D4—4224no—
1043C23×D4—4224no—
1044C23×D4—4224no—
1045C23×D4—43584no—
1046C23×D4—428672no—
1047C23×D4—414336no—
1048C23×D4—4512no—
1049C23×D4—4512no—
1050C23×D4—4256no—
1051C23×D4—4256no—
1052C23×D4—8256no—
1053C23×D4—8256no—
1054C23×D4—8256no—
1055C23×D4—8256no—
1056C23×D4—8256no—
1057C23×D4C22×D41448yes—
1058C23×D4C22×D41896yes—
1059C23×D4C22×D41448yes—
1060C23×D4C2×#411448yescomplemented
1061C23×D4C251112yes—
1062C23×D4C251224yes—
1063C23×D4C251112yes—
1064C23×D4C251512yes—
1065C23×D4C251224yes—
1066C23×D4C251224yes—
1067C23×D4C251224yes—
1068C23×D4C251224yes—
1069C23×D4C2511024yes—
1070C23×D4C251512yes—
1071C23×D4C251224yes—
1072C23×D4C251224yes—
1073C23×D4C251224yes—
1074C23×D4C251112yes—
1075C23×D4C251224yes—
1076C23×D4C251112yes—
1077C23×D4C251112yes—
1078C23×D4C251224yes—
1079C23×D4C251224yes—
1080C23×D4C251224yes—
1081C23×D4C251224yes—
1082C23×D4C251224yes—
1083C24×C4—2512no—
1084C24×C4—28no—
1085C24×C4—28no—
1086C24×C4—216no—
1087C24×C4—28no—
1088C24×C4—28no—
1089C24×C4—2224no—
1090C24×C4—28no—
1091C24×C4—28no—
1092C24×C4—28no—
1093C24×C4—28no—
1094C24×C4—28no—
1095C24×C4—2224no—
1096C24×C4—28no—
1097C24×C4—216no—
1098C24×C4—28no—
1099C24×C4—28no—
1100C24×C4—28no—
1101C24×C4—28no—
1102C24×C4—2512no—
1103C24×C4—2224no—
1104C24×C4—2224no—
1105C24×C4—216no—
1106C24×C4—28no—
1107C24×C4—216no—
1108C24×C4—216no—
1109C24×C4—216no—
1110C24×C4—2448no—
1111C24×C4—28no—
1112C24×C4—2224no—
1113C24×C4—28no—
1114C24×C4—28no—
1115C24×C4—28no—
1116C24×C4—28no—
1117C24×C4—28no—
1118C24×C4—216no—
1119C24×C4—216no—
1120C24×C4—216no—
1121C24×C4—216no—
1122C24×C4—216no—
1123C24×C4—28no—
1124C24×C4—28no—
1125C24×C4—28no—
1126C24×C4—28no—
1127C24×C4—28no—
1128C24×C4—28no—
1129C24×C4—28no—
1130C24×C4—28no—
1131C24×C4—2448no—
1132C24×C4—2448no—
1133C24×C4—2224no—
1134C24×C4—2448no—
1135C24×C4—2448no—
1136C24×C4—2448no—
1137C24×C4—2448no—
1138C24×C4—2224no—
1139C24×C4—2224no—
1140C24×C4—2224no—
1141C24×C4—2448no—
1142C24×C4—4112no—
1143C24×C4—4224no—
1144C24×C4—4224no—
1145C24×C4—4224no—
1146C24×C4—4512no—
1147C24×C4—4512no—
1148C24×C4—4224no—
1149C24×C4—4224no—
1150C24×C4—4224no—
1151C24×C4—4224no—
1152C24×C4—4256no—
1153C24×C4—4512no—
1154C24×C4—4256no—
1155C24×C4—8256no—
1156C24×C4—8256no—
1157C24×C4C22×D4116yes—
1158C24×C4C22×D4116yes—
1159C24×C4C22×D4116yes—
1160C24×C4C22×D4132yes—
1161C24×C4C22×D4116yes—
1162C24×C4C22×D41448yes—
1163C24×C4C22×D4116yes—
1164C24×C4C22×D4116yes—
1165C24×C4C22×D4116yes—
1166C24×C4C22×D41448yescomplemented
1167C24×C4C2×#41116yes—
1168C24×C4H(5,𝔽2)116yes—
1169C24×C4H(5,𝔽2)116yes—
1170C24×C4C25128yes—
1171C24×C4C25114yes—
1172C24×C4C251112yes—
1173C24×C4C25128yes—
1174C24×C4C25128yes—
1175C24×C4C25114yes—
1176C24×C4C25114yes—
1177C24×C4C25114yes—
1178C24×C4C25114yes—
1179C24×C4C251224yes—
1180C24×C4C251224yes—
1181C24×C4C251224yes—
1182C24×C4C251112yes—
1183C24×C4C25114yes—
1184C24×C4C25114yes—
1185C24×C4C25128yes—
1186C24×C4C25114yes—
1187C24×C4C25114yes—
1188C24×C4C25114yes—
1189C24×C4C251112yes—
1190C24×C4C25114yes—
1191C24×C4C251112yes—
1192C24×C4C25114yes—
1193C24×C4C251224yes—
1194C24×C4C251224yes—
1195C24×C4C25114yes—
1196#546—265536no—
1197D42—232768no—
1198#532—232768no—
1199C2×C4⋊Q8—23584no—
1200C2×C4⋊Q8C251512yescomplemented
1201C2×#127—23584no—
1202C2×#127—23584no—
1203C2×#127—23584no—
1204C2×#127—41792no—
1205C2×#127C251512yes—
1206C2×#127C251512yes—
1207C2×#127C251512yescomplemented
1208C2×#127C251512yescomplemented
1209C2×#124—27168no—
1210C2×#124—27168no—
1211C2×#124C2511024yescomplemented
1212C2×#124C2511024yescomplemented
1213C2×#123—27168no—
1214C2×#123C22×D417168yescomplemented
1215C2×#123C251512yes—
1216C2×#123C2511024yescomplemented
1217C2×C22⋊Q8—27168no—
1218C2×C22⋊Q8C2511024yescomplemented
1219C2×#121—27168no—
1220C2×#121—27168no—
1221C2×#121—23584no—
1222C2×#121—23584no—
1223C2×#121—27168no—
1224C2×#121—27168no—
1225C2×#121—27168no—
1226C2×#121—43584no—
1227C2×#121—41792no—
1228C2×#121C22×D417168yescomplemented
1229C2×#121C2511024yes—
1230C2×#121C2511024yes—
1231C2×#121C251512yes—
1232C2×#121C251512yes—
1233C2×#121C2511024yescomplemented
1234C2×#121C251512yescomplemented
1235C2×#121C2511024yescomplemented
1236C2×#121C2511024yescomplemented
1237C2×#121C251512yescomplemented
1238C2×#121C2511024yescomplemented
1239C2×#120—27168no—
1240C2×#120—27168no—
1241C2×#120—27168no—
1242C2×#120—27168no—
1243C2×#120—43584no—
1244C2×#120—43584no—
1245C2×#120C2511024yes—
1246C2×#120C2511024yes—
1247C2×#120C2511024yescomplemented
1248C2×#120C2511024yescomplemented
1249C2×#120C2511024yescomplemented
1250C2×#120C2511024yescomplemented
1251C2×C4×D4—23584no—
1252C2×C4×D4—23584no—
1253C2×C4×D4—23584no—
1254C2×C4×D4—23584no—
1255C2×C4×D4—27168no—
1256C2×C4×D4—27168no—
1257C2×C4×D4—27168no—
1258C2×C4×D4—41792no—
1259C2×C4×D4C251512yes—
1260C2×C4×D4C251512yes—
1261C2×C4×D4C251512yescomplemented
1262C2×C4×D4C2511024yescomplemented
1263C2×C4×D4C251512yescomplemented
1264C2×C4×D4C2511024yescomplemented
1265C2×C4×D4C2511024yescomplemented
1266C2×C4×D4C251512yescomplemented
1267C22×C4⋊C4—2224no—
1268C22×C4⋊C4—2448no—
1269C22×C4⋊C4—2448no—
1270C22×C4⋊C4—2224no—
1271C22×C4⋊C4—2448no—
1272C22×C4⋊C4—2224no—
1273C22×C4⋊C4—2224no—
1274C22×C4⋊C4—2224no—
1275C22×C4⋊C4—41792no—
1276C22×C4⋊C4—4224no—
1277C22×C4⋊C4—4112no—
1278C22×C4⋊C4C22×D41448yes—
1279C22×C4⋊C4C22×D41448yescomplemented
1280C22×C4⋊C4C22×D41448yescomplemented
1281C22×C4⋊C4C251224yes—
1282C22×C4⋊C4C251224yes—
1283C22×C4⋊C4C251224yes—
1284C22×C4⋊C4C251112yes—
1285C22×C4⋊C4C251112yes—
1286C22×C4⋊C4C251112yes—
1287C22×C4⋊C4C251112yes—
1288C22×C4⋊C4C251112yes—
1289C22×C4⋊C4C251112yes—
1290C22×C4⋊C4C251224yes—
1291C22×C4⋊C4C251112yes—
1292C22×C4⋊C4C251112yes—
1293C22×C4⋊C4C251112yes—
1294C22×C4⋊C4C251512yescomplemented
1295C22×C22⋊C4—2448no—
1296C22×C22⋊C4—2224no—
1297C22×C22⋊C4—2448no—
1298C22×C22⋊C4—2224no—
1299C22×C22⋊C4—2448no—
1300C22×C22⋊C4—2448no—
1301C22×C22⋊C4—2448no—
1302C22×C22⋊C4—2448no—
1303C22×C22⋊C4—2448no—
1304C22×C22⋊C4—2224no—
1305C22×C22⋊C4—2448no—
1306C22×C22⋊C4—2448no—
1307C22×C22⋊C4—2448no—
1308C22×C22⋊C4—2448no—
1309C22×C22⋊C4—2448no—
1310C22×C22⋊C4—2448no—
1311C22×C22⋊C4—2448no—
1312C22×C22⋊C4—27168no—
1313C22×C22⋊C4—2448no—
1314C22×C22⋊C4—2448no—
1315C22×C22⋊C4—2224no—
1316C22×C22⋊C4—27168no—
1317C22×C22⋊C4—43584no—
1318C22×C22⋊C4—4224no—
1319C22×C22⋊C4—4224no—
1320C22×C22⋊C4—4112no—
1321C22×C22⋊C4—4224no—
1322C22×C22⋊C4—4224no—
1323C22×C22⋊C4—4224no—
1324C22×C22⋊C4—4224no—
1325C22×C22⋊C4—4224no—
1326C22×C22⋊C4—4224no—
1327C22×C22⋊C4C22×D41896yes—
1328C22×C22⋊C4C22×D41448yescomplemented
1329C22×C22⋊C4C22×D41448yescomplemented
1330C22×C22⋊C4C22×D41448yescomplemented
1331C22×C22⋊C4C251224yes—
1332C22×C22⋊C4C251224yes—
1333C22×C22⋊C4C251224yes—
1334C22×C22⋊C4C251224yes—
1335C22×C22⋊C4C251224yes—
1336C22×C22⋊C4C251224yes—
1337C22×C22⋊C4C251224yes—
1338C22×C22⋊C4C251224yes—
1339C22×C22⋊C4C251224yes—
1340C22×C22⋊C4C251224yes—
1341C22×C22⋊C4C251224yes—
1342C22×C22⋊C4C251224yes—
1343C22×C22⋊C4C251224yes—
1344C22×C22⋊C4C251112yes—
1345C22×C22⋊C4C251224yes—
1346C22×C22⋊C4C251112yes—
1347C22×C22⋊C4C251224yes—
1348C22×C22⋊C4C251224yes—
1349C22×C22⋊C4C251112yes—
1350C22×C22⋊C4C251112yes—
1351C22×C22⋊C4C251224yes—
1352C22×C22⋊C4C251224yes—
1353C22×C22⋊C4C251112yes—
1354C22×C22⋊C4C251224yes—
1355C22×C22⋊C4C251224yes—
1356C22×C22⋊C4C251224yes—
1357C22×C22⋊C4C251224yes—
1358C22×C22⋊C4C251224yes—
1359C22×C22⋊C4C251224yes—
1360C22×C22⋊C4C251224yes—
1361C22×C22⋊C4C251112yes—
1362C22×C22⋊C4C251112yes—
1363C22×C22⋊C4C251112yes—
1364C22×C22⋊C4C2511024yescomplemented
1365C22×C22⋊C4C2511024yescomplemented
1366C22×C22⋊C4C2511024yescomplemented
1367C22×C42—2224no—
1368C22×C42—2224no—
1369C22×C42—2224no—
1370C22×C42—2224no—
1371C22×C42—23584no—
1372C22×C42—2448no—
1373C22×C42—2224no—
1374C22×C42—2224no—
1375C22×C42—2224no—
1376C22×C42C251112yes—
1377C22×C42C251112yes—
1378C22×C42C251112yes—
1379C22×C42C251112yes—
1380C22×C42C251112yes—
1381C22×C42C251224yes—
1382C22×C42C251112yes—
1383C22×C42C251112yes—
1384C22×C42C251512yescomplemented
1385#396C2511024yescomplemented
1386#396C2511024yescomplemented
1387#394C2511024yescomplemented
1388#394C2511024yescomplemented
1389#394C2511024yescomplemented
1390#394C2511024yescomplemented
1391#394C2511024yescomplemented
1392#393C2511024yescomplemented
1393#393C2511024yescomplemented
1394#392C2511024yescomplemented
1395#392C2511024yescomplemented
1396#392C2511024yescomplemented
1397#392C2511024yescomplemented
1398#392C2511024yescomplemented
1399#392C2511024yescomplemented
1400#392C2511024yescomplemented
1401#390C251512yes—
1402#390C251512yes—
1403#390C251512yes—
1404#390C251512yescomplemented
1405#390C2511024yescomplemented
1406#390C251512yescomplemented
1407#390C2511024yescomplemented
1408#390C2511024yescomplemented
1409#390C251512yescomplemented
1410#390C251512yescomplemented
1411#390C251512yescomplemented
1412#389C251512yescomplemented
1413#389C251512yescomplemented
1414#388C2511024yescomplemented
1415#388C251512yescomplemented
1416#388C251512yescomplemented
1417#388C2511024yescomplemented
1418#387C251512yescomplemented
1419#387C251512yescomplemented
1420#386C251512yes—
1421#386C2511024yescomplemented
1422#386C2511024yescomplemented
1423#386C2511024yescomplemented
1424#386C2511024yescomplemented
1425#386C2511024yescomplemented
1426#386C2511024yescomplemented
1427#386C2511024yescomplemented
1428#386C2511024yescomplemented
1429#385C2511024yescomplemented
1430#385C2511024yescomplemented
1431#385C251512yescomplemented
1432#381C251512yescomplemented
1433#380C251512yescomplemented
1434#379C2511024yescomplemented
1435C4×C4⋊C4C251512yescomplemented
1436C4×C4⋊C4C251512yescomplemented
1437C4×C4⋊C4C251512yescomplemented
1438C4×C22⋊C4C251512yescomplemented
1439C4×C22⋊C4C251512yescomplemented
1440C4×C22⋊C4C251512yescomplemented
1441C2×#95C251112yes—
1442C2×#95C251112yes—
1443C2×#95C251112yes—
1444C2×#95C251112yes—
1445C2×#95C251112yes—
1446C2×#95C251112yes—
1447C2×#95C251224yes—
1448C2×#95C251224yes—
1449C2×#95C251224yes—
1450C2×#95C251224yes—
1451C2×#95C251112yes—
1452C2×#95C251112yes—
1453C2×#95C251112yes—
1454C2×#95C251112yes—
1455C25—256no—
1456C25—256no—
1457C25—256no—
1458C25—256no—
1459C25—2128no—
1460C25—2128no—
1461C25—2128no—
1462C25—2128no—
1463C25—2128no—
1464C25—2128no—
1465C25—2112no—
1466C25—2112no—
1467C25—256no—
1468C25—2112no—
1469C25—256no—
1470C25—2112no—
1471C25—2112no—
1472C25—256no—
1473C25—2112no—
1474C25—2112no—
1475C25—2112no—
1476C25—256no—
1477C25—2112no—
1478C25—256no—
1479C25—2112no—
1480C25—256no—
1481C25—2112no—
1482C25—2112no—
1483C25—2256no—
1484C25—2128no—
1485C25—2256no—
1486C25—2256no—
1487C25—2256no—
1488C25—2128no—
1489C25—2256no—
1490C25—2128no—
1491C25—2256no—
1492C25—2112no—
1493C25—2112no—
1494C25—2112no—
1495C25—2112no—
1496C25—2112no—
1497C25—2896no—
1498C25—2112no—
1499C25—2112no—
1500C25—2112no—
1501C25—2112no—
1502C25—2112no—
1503C25—2112no—
1504C25—2112no—
1505C25—2112no—
1506C25—2112no—
1507C25—2896no—
1508C25—2896no—
1509C25—2896no—
1510C25—2896no—
1511C25—2896no—
1512C25—2896no—
1513C25—4448no—
1514C25—4448no—
1515C25—4448no—
1516C25—4448no—
1517C25—4448no—
1518C25—4448no—
1519C25—4448no—
1520C25—43584no—
1521C25—43584no—
1522C25—43584no—
1523C25—43584no—
1524C25—43584no—
1525C25—43584no—
1526C25—4128no—
1527C25—464no—
1528C25—4128no—
1529C25—464no—
1530C25—4128no—
1531C25—4128no—
1532C25—4128no—
1533C25—4128no—
1534C25—464no—
1535C25—4128no—
1536C25—464no—
1537C25—4128no—
1538C25—4128no—
1539C25—43584no—
1540C25—4128no—
1541C25—4128no—
1542C25—4128no—
1543C25—4128no—
1544C25—4128no—
1545C25—4128no—
1546C25—4128no—
1547C25—4128no—
1548C25—4128no—
1549C25—4128no—
1550C25—4128no—
1551C25—4128no—
1552C25—4128no—
1553C25—81792no—
1554C25—81792no—
1555C25—81792no—
1556C25—81792no—
1557C25—81792no—
1558C25—81792no—
1559C25—88192no—
1560C25—81792no—
1561C25—88192no—
1562C25D421256yes—
1563C25C23×D41112yes—
1564C25C23×D41224yes—
1565C25C23×D41112yes—
1566C25C23×D41112yes—
1567C25C23×D418yes—
1568C25C23×D418yes—
1569C25C22×#411224yes—
1570C25C22×#4118yes—
1571C25C2×H(5,𝔽2)1112yes—
1572C25C2×H(5,𝔽2)18yes—
1573C25C2×H(5,𝔽2)18yes—
1574C25C2×H(5,𝔽2)18yes—
1575C25#58518yes—
1576C25C26156yes—
1577C25C26156yes—
1578C25C26128yes—
1579C25C26156yes—
1580C25C26156yes—
1581C25C261128yes—
1582C25C26128yes—
1583C25C261128yes—
1584C25C2617yes—
1585C2×#41—24096no—
1586C2×#41—24096no—
1587C2×#41—42048no—
1588C2×#41—457344no—
1589C22×Q8—2896no—
1590C22×Q8—2896no—
1591C22×Q8—4448no—
1592C22×Q8—43584no—
1593C22×Q8C261128yes—
1594C22×D4—2448no—
1595C22×D4—2896no—
1596C22×D4—2448no—
1597C22×D4—2896no—
1598C22×D4—23584no—
1599C22×D4—27168no—
1600C22×D4—2896no—
1601C22×D4—2896no—
1602C22×D4—2896no—
1603C22×D4—2896no—
1604C22×D4—2896no—
1605C22×D4—2896no—
1606C22×D4—2896no—
1607C22×D4—2896no—
1608C22×D4—2896no—
1609C22×D4—2896no—
1610C22×D4—2896no—
1611C22×D4—2896no—
1612C22×D4—2896no—
1613C22×D4—2896no—
1614C22×D4—24096no—
1615C22×D4—22048no—
1616C22×D4—24096no—
1617C22×D4—22048no—
1618C22×D4—22048no—
1619C22×D4—2448no—
1620C22×D4—2896no—
1621C22×D4—2448no—
1622C22×D4—2896no—
1623C22×D4—2896no—
1624C22×D4—2896no—
1625C22×D4—2896no—
1626C22×D4—2448no—
1627C22×D4—22048no—
1628C22×D4—2896no—
1629C22×D4—2448no—
1630C22×D4—2448no—
1631C22×D4—2448no—
1632C22×D4—2448no—
1633C22×D4—2448no—
1634C22×D4—2896no—
1635C22×D4—2448no—
1636C22×D4—2448no—
1637C22×D4—23584no—
1638C22×D4—23584no—
1639C22×D4—41024no—
1640C22×D4—41024no—
1641C22×D4—428672no—
1642C22×D4—4448no—
1643C22×D4—4448no—
1644C22×D4—4448no—
1645C22×D4—4448no—
1646C22×D4—4448no—
1647C22×D4—4448no—
1648C22×D4—4448no—
1649C22×D4—43584no—
1650C22×D4—43584no—
1651C22×D4—43584no—
1652C22×D4—43584no—
1653C22×D4—43584no—
1654C22×D4—43584no—
1655C22×D4—4448no—
1656C22×D4—4448no—
1657C22×D4—4448no—
1658C22×D4—4448no—
1659C22×D4—4448no—
1660C22×D4—4448no—
1661C22×D4—4448no—
1662C22×D4—4448no—
1663C22×D4—4448no—
1664C22×D4—4448no—
1665C22×D4—4448no—
1666C22×D4—42048no—
1667C22×D4—457344no—
1668C22×D4—428672no—
1669C22×D4—43584no—
1670C22×D4—43584no—
1671C22×D4—41792no—
1672C22×D4—41792no—
1673C22×D4—81792no—
1674C22×D4—81792no—
1675C22×D4—81792no—
1676C22×D4—81792no—
1677C22×D4—81792no—
1678C22×D4C23×D41896yes—
1679C22×D4C23×D411792yes—
1680C22×D4C23×D41896yes—
1681C22×D4C22×#411896yescomplemented
1682C22×D4C26164yes—
1683C22×D4C261128yes—
1684C22×D4C26164yes—
1685C22×D4C261128yes—
1686C22×D4C261128yes—
1687C22×D4C261128yes—
1688C22×D4C261128yes—
1689C22×D4C261128yes—
1690C22×D4C261128yes—
1691C22×D4C261128yes—
1692C22×D4C26164yes—
1693C22×D4C26164yes—
1694C22×D4C261128yes—
1695C22×D4C26164yes—
1696C22×D4C261128yes—
1697C22×D4C261128yes—
1698C22×D4C261128yes—
1699C22×D4C261128yes—
1700C22×D4C261128yes—
1701C23×C4—256no—
1702C23×C4—256no—
1703C23×C4—2112no—
1704C23×C4—256no—
1705C23×C4—256no—
1706C23×C4—2448no—
1707C23×C4—256no—
1708C23×C4—256no—
1709C23×C4—256no—
1710C23×C4—256no—
1711C23×C4—256no—
1712C23×C4—256no—
1713C23×C4—2448no—
1714C23×C4—256no—
1715C23×C4—2112no—
1716C23×C4—256no—
1717C23×C4—256no—
1718C23×C4—256no—
1719C23×C4—2128no—
1720C23×C4—2128no—
1721C23×C4—23584no—
1722C23×C4—2128no—
1723C23×C4—2256no—
1724C23×C4—2128no—
1725C23×C4—2128no—
1726C23×C4—2128no—
1727C23×C4—2128no—
1728C23×C4—2448no—
1729C23×C4—2448no—
1730C23×C4—23584no—
1731C23×C4—2112no—
1732C23×C4—256no—
1733C23×C4—256no—
1734C23×C4—2112no—
1735C23×C4—256no—
1736C23×C4—2112no—
1737C23×C4—2112no—
1738C23×C4—2896no—
1739C23×C4—2448no—
1740C23×C4—256no—
1741C23×C4—256no—
1742C23×C4—2112no—
1743C23×C4—2112no—
1744C23×C4—256no—
1745C23×C4—256no—
1746C23×C4—256no—
1747C23×C4—256no—
1748C23×C4—256no—
1749C23×C4—256no—
1750C23×C4—2112no—
1751C23×C4—256no—
1752C23×C4—2112no—
1753C23×C4—2112no—
1754C23×C4—256no—
1755C23×C4—256no—
1756C23×C4—256no—
1757C23×C4—2896no—
1758C23×C4—2896no—
1759C23×C4—2896no—
1760C23×C4—2896no—
1761C23×C4—2448no—
1762C23×C4—2896no—
1763C23×C4—2896no—
1764C23×C4—2448no—
1765C23×C4—2448no—
1766C23×C4—2448no—
1767C23×C4—2896no—
1768C23×C4—4224no—
1769C23×C4—4448no—
1770C23×C4—4448no—
1771C23×C4—4448no—
1772C23×C4—43584no—
1773C23×C4—43584no—
1774C23×C4—4448no—
1775C23×C4—4448no—
1776C23×C4—4448no—
1777C23×C4—4448no—
1778C23×C4—41792no—
1779C23×C4—43584no—
1780C23×C4—4128no—
1781C23×C4—464no—
1782C23×C4—464no—
1783C23×C4—464no—
1784C23×C4—4128no—
1785C23×C4—4128no—
1786C23×C4—464no—
1787C23×C4—464no—
1788C23×C4—41792no—
1789C23×C4—81792no—
1790C23×C4—81792no—
1791C23×C4#5461256yescomplemented
1792C23×C4C23×D41112yes—
1793C23×C4C23×D41112yes—
1794C23×C4C23×D41112yes—
1795C23×C4C23×D41112yes—
1796C23×C4C23×D41224yes—
1797C23×C4C23×D41112yes—
1798C23×C4C23×D41112yes—
1799C23×C4C23×D41896yes—
1800C23×C4C23×D41112yes—
1801C23×C4C23×D41896yescomplemented
1802C23×C4C22×#411112yes—
1803C23×C4C2×H(5,𝔽2)1112yes—
1804C23×C4C2×H(5,𝔽2)1112yes—
1805C23×C4C26128yes—
1806C23×C4C26156yes—
1807C23×C4C26156yes—
1808C23×C4C26156yes—
1809C23×C4C26128yes—
1810C23×C4C26128yes—
1811C23×C4C26128yes—
1812C23×C4C26128yes—
1813C23×C4C26164yes—
1814C23×C4C26164yes—
1815C23×C4C261128yes—
1816C23×C4C261128yes—
1817C23×C4C261128yes—
1818C23×C4C26128yes—
1819C23×C4C26128yes—
1820C23×C4C26128yes—
1821C23×C4C26128yes—
1822C23×C4C26128yes—
1823C23×C4C26156yes—
1824C23×C4C26128yes—
1825C23×C4C26164yes—
1826C23×C4C26164yes—
1827C23×C4C26128yes—
1828C23×C4C261128yes—
1829C23×C4C261128yes—
1830C23×C4C26128yes—
1831C4⋊Q8—22048no—
1832#127—22048no—
1833#127—22048no—
1834#127—22048no—
1835#127—41024no—
1836#124—24096no—
1837#124—24096no—
1838#123—24096no—
1839#123C23×D414096yescomplemented
1840C22⋊Q8—24096no—
1841#121—24096no—
1842#121—24096no—
1843#121—22048no—
1844#121—22048no—
1845#121—24096no—
1846#121—24096no—
1847#121—24096no—
1848#121—42048no—
1849#121—41024no—
1850#121C23×D414096yescomplemented
1851#120—24096no—
1852#120—24096no—
1853#120—24096no—
1854#120—24096no—
1855#120—42048no—
1856#120—42048no—
1857C4×D4—22048no—
1858C4×D4—22048no—
1859C4×D4—22048no—
1860C4×D4—22048no—
1861C4×D4—24096no—
1862C4×D4—24096no—
1863C4×D4—24096no—
1864C4×D4—41024no—
1865C2×C4⋊C4—2448no—
1866C2×C4⋊C4—2896no—
1867C2×C4⋊C4—2896no—
1868C2×C4⋊C4—2448no—
1869C2×C4⋊C4—2896no—
1870C2×C4⋊C4—2448no—
1871C2×C4⋊C4—2448no—
1872C2×C4⋊C4—2448no—
1873C2×C4⋊C4—41024no—
1874C2×C4⋊C4—4448no—
1875C2×C4⋊C4—4224no—
1876C2×C4⋊C4C23×D41896yes—
1877C2×C4⋊C4C23×D41896yescomplemented
1878C2×C4⋊C4C23×D41896yescomplemented
1879C2×C4⋊C4C26164yes—
1880C2×C4⋊C4C26164yes—
1881C2×C4⋊C4C26164yes—
1882C2×C4⋊C4C261128yes—
1883C2×C4⋊C4C26164yes—
1884C2×C4⋊C4C261128yes—
1885C2×C4⋊C4C261128yes—
1886C2×C4⋊C4C26164yes—
1887C2×C4⋊C4C261128yes—
1888C2×C4⋊C4C26164yes—
1889C2×C4⋊C4C26164yes—
1890C2×C4⋊C4C26164yes—
1891C2×C4⋊C4C26164yes—
1892C2×C22⋊C4—2896no—
1893C2×C22⋊C4—2448no—
1894C2×C22⋊C4—2896no—
1895C2×C22⋊C4—2448no—
1896C2×C22⋊C4—2896no—
1897C2×C22⋊C4—2896no—
1898C2×C22⋊C4—2896no—
1899C2×C22⋊C4—2896no—
1900C2×C22⋊C4—2896no—
1901C2×C22⋊C4—2448no—
1902C2×C22⋊C4—2896no—
1903C2×C22⋊C4—2896no—
1904C2×C22⋊C4—2896no—
1905C2×C22⋊C4—2896no—
1906C2×C22⋊C4—2896no—
1907C2×C22⋊C4—2896no—
1908C2×C22⋊C4—2896no—
1909C2×C22⋊C4—24096no—
1910C2×C22⋊C4—2896no—
1911C2×C22⋊C4—2896no—
1912C2×C22⋊C4—2448no—
1913C2×C22⋊C4—24096no—
1914C2×C22⋊C4—42048no—
1915C2×C22⋊C4—4448no—
1916C2×C22⋊C4—4448no—
1917C2×C22⋊C4—4224no—
1918C2×C22⋊C4—4448no—
1919C2×C22⋊C4—4448no—
1920C2×C22⋊C4—4448no—
1921C2×C22⋊C4—4448no—
1922C2×C22⋊C4—4448no—
1923C2×C22⋊C4—4448no—
1924C2×C22⋊C4C23×D411792yes—
1925C2×C22⋊C4C23×D41896yescomplemented
1926C2×C22⋊C4C23×D41896yescomplemented
1927C2×C22⋊C4C23×D41896yescomplemented
1928C2×C22⋊C4C261128yes—
1929C2×C22⋊C4C261128yes—
1930C2×C22⋊C4C261128yes—
1931C2×C22⋊C4C261128yes—
1932C2×C22⋊C4C261128yes—
1933C2×C22⋊C4C261128yes—
1934C2×C22⋊C4C261128yes—
1935C2×C22⋊C4C261128yes—
1936C2×C22⋊C4C26164yes—
1937C2×C22⋊C4C261128yes—
1938C2×C22⋊C4C26164yes—
1939C2×C22⋊C4C261128yes—
1940C2×C22⋊C4C261128yes—
1941C2×C22⋊C4C261128yes—
1942C2×C22⋊C4C261128yes—
1943C2×C22⋊C4C261128yes—
1944C2×C22⋊C4C261128yes—
1945C2×C22⋊C4C26164yes—
1946C2×C22⋊C4C26164yes—
1947C2×C22⋊C4C261128yes—
1948C2×C22⋊C4C261128yes—
1949C2×C22⋊C4C261128yes—
1950C2×C22⋊C4C261128yes—
1951C2×C22⋊C4C261128yes—
1952C2×C22⋊C4C261128yes—
1953C2×C22⋊C4C261128yes—
1954C2×C22⋊C4C261128yes—
1955C2×C22⋊C4C261128yes—
1956C2×C22⋊C4C26164yes—
1957C2×C22⋊C4C261128yes—
1958C2×C22⋊C4C26164yes—
1959C2×C22⋊C4C26164yes—
1960C2×C22⋊C4C26164yes—
1961C2×C42—2896no—
1962C2×C42—2448no—
1963C2×C42—2448no—
1964C2×C42—2448no—
1965C2×C42—2448no—
1966C2×C42—2448no—
1967C2×C42—22048no—
1968C2×C42—2448no—
1969C2×C42—2448no—
1970C2×C42C26164yes—
1971C2×C42C261128yes—
1972C2×C42C26164yes—
1973C2×C42C26164yes—
1974C2×C42C26164yes—
1975C2×C42C26164yes—
1976C2×C42C26164yes—
1977C2×C42C26164yes—
1978#95C26164yes—
1979#95C26164yes—
1980#95C26164yes—
1981#95C26164yes—
1982#95C26164yes—
1983#95C26164yes—
1984#95C26164yes—
1985#95C26164yes—
1986#95C26164yes—
1987#95C261128yes—
1988#95C26164yes—
1989#95C261128yes—
1990#95C261128yes—
1991#95C261128yes—
1992C24—2448no—
1993C24—2448no—
1994C24—2448no—
1995C24—2448no—
1996C24—256no—
1997C24—256no—
1998C24—256no—
1999C24—256no—
2000C24—22048no—
2001C24—2448no—
2002C24—2448no—
2003C24—2896no—
2004C24—2896no—
2005C24—2448no—
2006C24—2112no—
2007C24—2112no—
2008C24—256no—
2009C24—2112no—
2010C24—256no—
2011C24—2112no—
2012C24—2112no—
2013C24—256no—
2014C24—2112no—
2015C24—2112no—
2016C24—2112no—
2017C24—256no—
2018C24—2112no—
2019C24—256no—
2020C24—2112no—
2021C24—256no—
2022C24—2112no—
2023C24—2112no—
2024C24—2896no—
2025C24—2448no—
2026C24—2896no—
2027C24—2896no—
2028C24—2896no—
2029C24—2448no—
2030C24—2112no—
2031C24—2112no—
2032C24—2112no—
2033C24—2112no—
2034C24—2112no—
2035C24—2256no—
2036C24—2112no—
2037C24—2112no—
2038C24—2112no—
2039C24—2112no—
2040C24—2112no—
2041C24—2112no—
2042C24—2112no—
2043C24—2112no—
2044C24—2112no—
2045C24—2256no—
2046C24—2256no—
2047C24—2256no—
2048C24—2256no—
2049C24—2256no—
2050C24—2256no—
2051C24—4128no—
2052C24—4128no—
2053C24—4128no—
2054C24—4128no—
2055C24—4128no—
2056C24—4128no—
2057C24—4128no—
2058C24—43584no—
2059C24—43584no—
2060C24—43584no—
2061C24—43584no—
2062C24—43584no—
2063C24—43584no—
2064C24—4448no—
2065C24—4448no—
2066C24—4224no—
2067C24—4448no—
2068C24—4224no—
2069C24—4448no—
2070C24—4224no—
2071C24—4448no—
2072C24—4448no—
2073C24—42048no—
2074C24—41024no—
2075C24—42048no—
2076C24—4448no—
2077C24—4224no—
2078C24—4448no—
2079C24—4448no—
2080C24—4448no—
2081C24—4448no—
2082C24—4448no—
2083C24—4448no—
2084C24—4448no—
2085C24—4448no—
2086C24—4448no—
2087C24—4448no—
2088C24—43584no—
2089C24—4448no—
2090C24—4448no—
2091C24—4448no—
2092C24—4448no—
2093C24—4448no—
2094C24—81792no—
2095C24—81792no—
2096C24—81792no—
2097C24—81792no—
2098C24—81792no—
2099C24—81792no—
2100C24—828672no—
2101C24—828672no—
2102C24—81792no—
2103C24—81024no—
2104C24—81024no—
2105C24C2×D421896yes—
2106C24C2×D42164yes—
2107C24C2×#546164yes—
2108C24D4×#41164yes—
2109C24#3488164yes—
2110C24#3498164yes—
2111C24#3519164yes—
2112C24#3558164yes—
2113C24C24×D41112yes—
2114C24C24×D41224yes—
2115C24C24×D41112yes—
2116C24C24×D41112yes—
2117C24C24×D4128yes—
2118C24C24×D4128yes—
2119C24C23×#411224yes—
2120C24C23×#41128yes—
2121C24C22×H(5,𝔽2)1112yes—
2122C24C22×H(5,𝔽2)128yes—
2123C24C22×H(5,𝔽2)128yes—
2124C24C22×H(5,𝔽2)128yes—
2125C24C2×#585128yes—
2126C24C27116yes—
2127C24C27116yes—
2128C24C2718yes—
2129C24C27116yes—
2130C24C27116yes—
2131C24C2718yes—
2132C24C2717yes—
2133#41—416384no—
2134C2×Q8—2256no—
2135C2×Q8—2256no—
2136C2×Q8—4128no—
2137C2×Q8—43584no—
2138C2×D4—2128no—
2139C2×D4—2256no—
2140C2×D4—2128no—
2141C2×D4—2256no—
2142C2×D4—23584no—
2143C2×D4—27168no—
2144C2×D4—2256no—
2145C2×D4—2256no—
2146C2×D4—2256no—
2147C2×D4—2256no—
2148C2×D4—2256no—
2149C2×D4—2256no—
2150C2×D4—2256no—
2151C2×D4—2256no—
2152C2×D4—2256no—
2153C2×D4—2256no—
2154C2×D4—2256no—
2155C2×D4—2256no—
2156C2×D4—2256no—
2157C2×D4—2256no—
2158C2×D4—2128no—
2159C2×D4—2256no—
2160C2×D4—2128no—
2161C2×D4—2256no—
2162C2×D4—2256no—
2163C2×D4—2256no—
2164C2×D4—2256no—
2165C2×D4—2128no—
2166C2×D4—2256no—
2167C2×D4—2128no—
2168C2×D4—2128no—
2169C2×D4—2128no—
2170C2×D4—2128no—
2171C2×D4—2128no—
2172C2×D4—2256no—
2173C2×D4—2128no—
2174C2×D4—2128no—
2175C2×D4—23584no—
2176C2×D4—23584no—
2177C2×D4—48192no—
2178C2×D4—4128no—
2179C2×D4—4128no—
2180C2×D4—4128no—
2181C2×D4—4128no—
2182C2×D4—4128no—
2183C2×D4—4128no—
2184C2×D4—4128no—
2185C2×D4—43584no—
2186C2×D4—43584no—
2187C2×D4—43584no—
2188C2×D4—43584no—
2189C2×D4—43584no—
2190C2×D4—43584no—
2191C2×D4—4128no—
2192C2×D4—4128no—
2193C2×D4—4128no—
2194C2×D4—4128no—
2195C2×D4—4128no—
2196C2×D4—4128no—
2197C2×D4—4128no—
2198C2×D4—4128no—
2199C2×D4—4128no—
2200C2×D4—4128no—
2201C2×D4—4128no—
2202C2×D4—416384no—
2203C2×D4—48192no—
2204C2×D4—43584no—
2205C2×D4—43584no—
2206C2×D4—41792no—
2207C2×D4—41792no—
2208C2×D4—81792no—
2209C2×D4—81792no—
2210C2×D4—81792no—
2211C2×D4—81792no—
2212C2×D4—81792no—
2213C2×D4C24×D41256yes—
2214C2×D4C24×D41512yes—
2215C2×D4C24×D41256yes—
2216C2×D4C23×#411256yescomplemented
2217C22×C4—2448no—
2218C22×C4—2448no—
2219C22×C4—256no—
2220C22×C4—256no—
2221C22×C4—256no—
2222C22×C4—2128no—
2223C22×C4—256no—
2224C22×C4—2112no—
2225C22×C4—256no—
2226C22×C4—256no—
2227C22×C4—256no—
2228C22×C4—256no—
2229C22×C4—256no—
2230C22×C4—256no—
2231C22×C4—256no—
2232C22×C4—2128no—
2233C22×C4—256no—
2234C22×C4—2112no—
2235C22×C4—256no—
2236C22×C4—256no—
2237C22×C4—2448no—
2238C22×C4—2448no—
2239C22×C4—23584no—
2240C22×C4—2448no—
2241C22×C4—2896no—
2242C22×C4—2448no—
2243C22×C4—2448no—
2244C22×C4—2128no—
2245C22×C4—2128no—
2246C22×C4—23584no—
2247C22×C4—256no—
2248C22×C4—2128no—
2249C22×C4—2112no—
2250C22×C4—256no—
2251C22×C4—2112no—
2252C22×C4—256no—
2253C22×C4—2112no—
2254C22×C4—2112no—
2255C22×C4—2256no—
2256C22×C4—256no—
2257C22×C4—256no—
2258C22×C4—256no—
2259C22×C4—2112no—
2260C22×C4—2112no—
2261C22×C4—256no—
2262C22×C4—256no—
2263C22×C4—256no—
2264C22×C4—256no—
2265C22×C4—256no—
2266C22×C4—256no—
2267C22×C4—2112no—
2268C22×C4—2112no—
2269C22×C4—2112no—
2270C22×C4—256no—
2271C22×C4—256no—
2272C22×C4—256no—
2273C22×C4—2256no—
2274C22×C4—2256no—
2275C22×C4—2256no—
2276C22×C4—2256no—
2277C22×C4—2128no—
2278C22×C4—2256no—
2279C22×C4—2256no—
2280C22×C4—2128no—
2281C22×C4—2128no—
2282C22×C4—2128no—
2283C22×C4—2256no—
2284C22×C4—464no—
2285C22×C4—4128no—
2286C22×C4—4128no—
2287C22×C4—4128no—
2288C22×C4—43584no—
2289C22×C4—43584no—
2290C22×C4—4128no—
2291C22×C4—4128no—
2292C22×C4—4128no—
2293C22×C4—4128no—
2294C22×C4—41792no—
2295C22×C4—43584no—
2296C22×C4—4224no—
2297C22×C4—4224no—
2298C22×C4—4224no—
2299C22×C4—4224no—
2300C22×C4—4448no—
2301C22×C4—4448no—
2302C22×C4—4448no—
2303C22×C4—4224no—
2304C22×C4—41792no—
2305C22×C4—81792no—
2306C22×C4—81792no—
2307C22×C4C2×#5461896yescomplemented
2308C22×C4C24×D41112yes—
2309C22×C4C24×D41112yes—
2310C22×C4C24×D41256yes—
2311C22×C4C24×D41112yes—
2312C22×C4C24×D41112yes—
2313C22×C4C24×D41224yes—
2314C22×C4C24×D41112yes—
2315C22×C4C24×D41112yes—
2316C22×C4C24×D41112yes—
2317C22×C4C24×D41256yescomplemented
2318C22×C4C23×#411112yes—
2319C22×C4C22×H(5,𝔽2)1112yes—
2320C22×C4C22×H(5,𝔽2)1112yes—
2321C22×C4C2718yes—
2322C22×C4C2718yes—
2323C22×C4C2718yes—
2324C22×C4C2718yes—
2325C22×C4C2718yes—
2326C22×C4C27116yes—
2327C22×C4C27116yes—
2328C22×C4C27116yes—
2329C22×C4C2718yes—
2330C22×C4C2718yes—
2331C22×C4C2718yes—
2332C22×C4C2718yes—
2333C22×C4C2718yes—
2334C22×C4C27116yes—
2335C22×C4C2718yes—
2336C22×C4C2718yes—
2337C22×C4C2718yes—
2338C4⋊C4—2128no—
2339C4⋊C4—2256no—
2340C4⋊C4—2256no—
2341C4⋊C4—2128no—
2342C4⋊C4—2256no—
2343C4⋊C4—2128no—
2344C4⋊C4—2128no—
2345C4⋊C4—2128no—
2346C4⋊C4—4128no—
2347C4⋊C4—464no—
2348C4⋊C4C24×D41256yes—
2349C4⋊C4C24×D41256yescomplemented
2350C4⋊C4C24×D41256yescomplemented
2351C22⋊C4—2256no—
2352C22⋊C4—2128no—
2353C22⋊C4—2256no—
2354C22⋊C4—2128no—
2355C22⋊C4—2256no—
2356C22⋊C4—2256no—
2357C22⋊C4—2256no—
2358C22⋊C4—2256no—
2359C22⋊C4—2256no—
2360C22⋊C4—2128no—
2361C22⋊C4—2256no—
2362C22⋊C4—2256no—
2363C22⋊C4—2256no—
2364C22⋊C4—2256no—
2365C22⋊C4—2256no—
2366C22⋊C4—2256no—
2367C22⋊C4—2256no—
2368C22⋊C4—2256no—
2369C22⋊C4—2256no—
2370C22⋊C4—2128no—
2371C22⋊C4—4128no—
2372C22⋊C4—4128no—
2373C22⋊C4—464no—
2374C22⋊C4—4128no—
2375C22⋊C4—4128no—
2376C22⋊C4—4128no—
2377C22⋊C4—4128no—
2378C22⋊C4—4128no—
2379C22⋊C4—4128no—
2380C22⋊C4C24×D41512yes—
2381C22⋊C4C24×D41256yescomplemented
2382C22⋊C4C24×D41256yescomplemented
2383C22⋊C4C24×D41256yescomplemented
2384C42—2128no—
2385C42—2128no—
2386C42—2128no—
2387C42—2128no—
2388C42—2256no—
2389C42—2128no—
2390C42—2128no—
2391C42—2128no—
2392C23—23584no—
2393C23—2224no—
2394C23—2224no—
2395C23—2224no—
2396C23—2224no—
2397C23—2224no—
2398C23—2224no—
2399C23—28no—
2400C23—28no—
2401C23—28no—
2402C23—28no—
2403C23—2448no—
2404C23—2224no—
2405C23—2448no—
2406C23—2448no—
2407C23—2448no—
2408C23—2224no—
2409C23—2448no—
2410C23—2448no—
2411C23—2224no—
2412C23—216no—
2413C23—216no—
2414C23—28no—
2415C23—216no—
2416C23—28no—
2417C23—216no—
2418C23—216no—
2419C23—28no—
2420C23—216no—
2421C23—216no—
2422C23—216no—
2423C23—28no—
2424C23—216no—
2425C23—28no—
2426C23—216no—
2427C23—28no—
2428C23—216no—
2429C23—216no—
2430C23—216no—
2431C23—216no—
2432C23—216no—
2433C23—216no—
2434C23—216no—
2435C23—216no—
2436C23—216no—
2437C23—216no—
2438C23—216no—
2439C23—216no—
2440C23—216no—
2441C23—216no—
2442C23—216no—
2443C23—216no—
2444C23—4512no—
2445C23—4512no—
2446C23—4512no—
2447C23—4512no—
2448C23—4512no—
2449C23—4512no—
2450C23—43584no—
2451C23—43584no—
2452C23—41792no—
2453C23—4224no—
2454C23—4224no—
2455C23—4112no—
2456C23—4224no—
2457C23—4112no—
2458C23—4224no—
2459C23—4224no—
2460C23—4112no—
2461C23—4224no—
2462C23—4112no—
2463C23—4224no—
2464C23—4224no—
2465C23—4224no—
2466C23—4224no—
2467C23—4224no—
2468C23—4512no—
2469C23—4224no—
2470C23—4224no—
2471C23—4224no—
2472C23—4224no—
2473C23—4224no—
2474C23—4224no—
2475C23—4224no—
2476C23—4224no—
2477C23—4224no—
2478C23—4224no—
2479C23—4224no—
2480C23—8256no—
2481C23—8256no—
2482C23—8256no—
2483C23—8256no—
2484C23—8256no—
2485C23—8256no—
2486C23—814336no—
2487C23—814336no—
2488C23—8256no—
2489C23—81792no—
2490C23—81792no—
2491C23#590951512yesdirect product factor
2492C23C22×D421448yes—
2493C23C22×D421112yes—
2494C23C22×#5461112yes—
2495C23C2×D4×#411112yes—
2496C23C2×#35581112yes—
2497C23C2×#35191112yes—
2498C23C2×#34881112yes—
2499C23C2×#34981112yes—
2500C23C25×D4116yes—
2501C23C25×D4132yes—
2502C23C25×D4116yes—
2503C23C25×D4116yes—
2504C23C25×D4114yes—
2505C23C25×D4114yes—
2506C23C24×#41132yes—
2507C23C24×#41114yes—
2508C23C23×H(5,𝔽2)116yes—
2509C23C23×H(5,𝔽2)114yes—
2510C23C23×H(5,𝔽2)114yes—
2511C23C23×H(5,𝔽2)114yes—
2512C23C22×#585114yes—
2513C23C2811yescharacteristic
2514Q8—4512no—
2515D4—2512no—
2516D4—21024no—
2517D4—2512no—
2518D4—2512no—
2519D4—4512no—
2520D4—4512no—
2521D4—4512no—
2522D4—4512no—
2523D4—4512no—
2524D4—4512no—
2525D4—4512no—
2526D4—4512no—
2527D4—4256no—
2528D4—4256no—
2529D4—8256no—
2530D4—8256no—
2531D4—8256no—
2532D4—8256no—
2533D4—8256no—
2534C2×C4—2224no—
2535C2×C4—2224no—
2536C2×C4—2512no—
2537C2×C4—2224no—
2538C2×C4—2448no—
2539C2×C4—2224no—
2540C2×C4—2224no—
2541C2×C4—2224no—
2542C2×C4—2224no—
2543C2×C4—28no—
2544C2×C4—28no—
2545C2×C4—28no—
2546C2×C4—28no—
2547C2×C4—216no—
2548C2×C4—28no—
2549C2×C4—28no—
2550C2×C4—28no—
2551C2×C4—28no—
2552C2×C4—28no—
2553C2×C4—28no—
2554C2×C4—28no—
2555C2×C4—28no—
2556C2×C4—216no—
2557C2×C4—28no—
2558C2×C4—28no—
2559C2×C4—2512no—
2560C2×C4—28no—
2561C2×C4—216no—
2562C2×C4—28no—
2563C2×C4—216no—
2564C2×C4—28no—
2565C2×C4—216no—
2566C2×C4—216no—
2567C2×C4—28no—
2568C2×C4—28no—
2569C2×C4—28no—
2570C2×C4—216no—
2571C2×C4—216no—
2572C2×C4—28no—
2573C2×C4—28no—
2574C2×C4—28no—
2575C2×C4—28no—
2576C2×C4—28no—
2577C2×C4—28no—
2578C2×C4—216no—
2579C2×C4—216no—
2580C2×C4—216no—
2581C2×C4—28no—
2582C2×C4—28no—
2583C2×C4—28no—
2584C2×C4—4512no—
2585C2×C4—4512no—
2586C2×C4—4256no—
2587C2×C4—4512no—
2588C2×C4—4112no—
2589C2×C4—4224no—
2590C2×C4—4112no—
2591C2×C4—4112no—
2592C2×C4—4112no—
2593C2×C4—4112no—
2594C2×C4—4224no—
2595C2×C4—4224no—
2596C2×C4—4256no—
2597C2×C4—8256no—
2598C2×C4—8256no—
2599C2×C4C22×#5461448yescomplemented
2600C2×C4C25×D4116yes—
2601C2×C4C25×D4116yes—
2602C2×C4C25×D4116yes—
2603C2×C4C25×D4116yes—
2604C2×C4C25×D4132yes—
2605C2×C4C25×D4116yes—
2606C2×C4C25×D4116yes—
2607C2×C4C25×D4116yes—
2608C2×C4C24×#41116yes—
2609C2×C4C23×H(5,𝔽2)116yes—
2610C2×C4C23×H(5,𝔽2)116yes—
2611C22—216no—
2612C22—2896no—
2613C22—216no—
2614C22—216no—
2615C22—216no—
2616C22—216no—
2617C22—216no—
2618C22—232no—
2619C22—216no—
2620C22—232no—
2621C22—232no—
2622C22—216no—
2623C22—232no—
2624C22—216no—
2625C22—232no—
2626C22—232no—
2627C22—416no—
2628C22—416no—
2629C22—48no—
2630C22—4896no—
2631C22—4448no—
2632C22—4896no—
2633C22—416no—
2634C22—416no—
2635C22—48no—
2636C22—416no—
2637C22—416no—
2638C22—48no—
2639C22—416no—
2640C22—416no—
2641C22—48no—
2642C22—416no—
2643C22—416no—
2644C22—416no—
2645C22—416no—
2646C22—416no—
2647C22—416no—
2648C22—416no—
2649C22—416no—
2650C22—416no—
2651C22—416no—
2652C22—416no—
2653C22—416no—
2654C22—416no—
2655C22—416no—
2656C22—81024no—
2657C22—81024no—
2658C22—8448no—
2659C22—8448no—
2660C22C2×#590951448yesdirect product factor
2661C22C23×D42132yes—
2662C22C23×D42128yes—
2663C22C23×#546128yes—
2664C22C22×D4×#41128yes—
2665C22C22×#3519128yes—
2666C22C22×#3488128yes—
2667C22C22×#3498128yes—
2668C22C22×#3558128yes—
2669C22C26×D411yescharacteristic
2670C22C26×D411yescharacteristic
2671C22C25×#4111yescharacteristic
2672C22C24×H(5,𝔽2)11yescharacteristic
2673C22C24×H(5,𝔽2)11yescharacteristic
2674C22C24×H(5,𝔽2)11yescharacteristic
2675C22C23×#58511yescharacteristic
2676C4—216no—
2677C4—216no—
2678C4—216no—
2679C4—232no—
2680C4—216no—
2681C4—216no—
2682C4—216no—
2683C4—216no—
2684C4—416no—
2685C4—48no—
2686C4—48no—
2687C4—48no—
2688C4—48no—
2689C4—416no—
2690C4—416no—
2691C4—48no—
2692C4C23×#546132yescomplemented
2693C2—232no—
2694C2—432no—
2695C2—416no—
2696C2—432no—
2697C2—816no—
2698C2—816no—
2699C2C24×D4211yescharacteristic
2700C2C23×D4×#4111yescharacteristic
2701C2C23×#348811yescharacteristic
2702C2C23×#349811yescharacteristic
2703C2C24×#54611yescharacteristic
2704C2C23×#351911yescharacteristic
2705C2C23×#355811yescharacteristic
2706C2C22×#59095156yesdirect product factor
subgroupG/H
center, socleC26C25
commutator, Frattini, cosocleC23C28
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C26 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C23×#2491C2semidirect
2. C23×#2452C2semidirect
3. C23×C4×#123C2semidirect
4. C23×#2445C2semidirect
5. C22×#59095C2direct (N × H)
6. C24×#532C2semidirect
7. C24×#390C2semidirect
8. C23×#2361C2semidirect
9. C23×#2366C2semidirect
10. C23×#2670C2semidirect
11. C23×#2456C2semidirect
12. C23×#2676C2semidirect
13. C23×#2541C2semidirect
14. C23×#2428C2semidirect
15. C23×#2416C2semidirect
16. C23×#2424C2semidirect
17. C23×#2424C2semidirect
18. C23×#2404C2semidirect
19. C24×#546C2semidirect
20. C23×D4×C22⋊C4C2semidirect
21. C23×#2433C2semidirect
22. C23×#2433C2semidirect
23. C23×#2410C2semidirect
24. C24×D42C2semidirect
25. C25×#41C22semidirect
30. C23×#546C22semidirect
32. C23×D42C22semidirect
34. C23×#532C22semidirect
35. C24×C4⋊Q8C22semidirect
38. C24×#127C22semidirect
39. C24×#127C22semidirect
40. C24×#124C22semidirect
41. C24×#124C22semidirect
43. C24×#123C22semidirect
44. C24×C22⋊Q8C22semidirect
49. C24×#121C22semidirect
50. C24×#121C22semidirect
51. C24×#121C22semidirect
52. C24×#121C22semidirect
53. C24×#121C22semidirect
54. C24×#121C22semidirect
57. C24×#120C22semidirect
58. C24×#120C22semidirect
59. C24×#120C22semidirect
60. C24×#120C22semidirect
63. C24×C4×D4C22semidirect
64. C24×C4×D4C22semidirect
65. C24×C4×D4C22semidirect
66. C24×C4×D4C22semidirect
67. C24×C4×D4C22semidirect
68. C24×C4×D4C22semidirect
69. C25×C4⋊C4C22semidirect
70. C25×C22⋊C4C22semidirect
71. C25×C22⋊C4C22semidirect
72. C25×C22⋊C4C22semidirect
73. C25×C42C22semidirect
74. C2×#59095C22direct (N × H)
75. C22×#2676C22semidirect
76. C22×#2670C22semidirect
77. C22×#2541C22semidirect
78. C22×#2491C22semidirect
79. C22×#2404C22semidirect
80. C22×#2452C22semidirect
81. C22×#2445C22semidirect
82. C22×#2428C22semidirect
83. C22×#2433C22semidirect
84. C22×#2433C22semidirect
85. C22×#2416C22semidirect
86. C22×#2456C22semidirect
87. C22×#2424C22semidirect
88. C22×#2424C22semidirect
89. C22×#2410C22semidirect
90. C23×#396C22semidirect
91. C23×#396C22semidirect
92. C23×#394C22semidirect
93. C23×#394C22semidirect
94. C23×#394C22semidirect
95. C23×#394C22semidirect
96. C23×#394C22semidirect
97. C23×#393C22semidirect
98. C23×#393C22semidirect
99. C23×#392C22semidirect
100. C23×#392C22semidirect
101. C23×#392C22semidirect
102. C23×#392C22semidirect
103. C23×#392C22semidirect
104. C23×#392C22semidirect
105. C23×#392C22semidirect
106. C22×#2366C22semidirect
107. C22×#2361C22semidirect
108. C22×D4×C22⋊C4C22semidirect
109. C22×C4×#123C22semidirect
113. C23×#390C22semidirect
114. C23×#390C22semidirect
115. C23×#390C22semidirect
116. C23×#390C22semidirect
117. C23×#390C22semidirect
118. C23×#390C22semidirect
119. C23×#390C22semidirect
120. C23×#390C22semidirect
121. C23×#390C22semidirect
122. C23×#389C22semidirect
123. C23×#389C22semidirect
124. C23×#388C22semidirect
125. C23×#388C22semidirect
126. C23×#388C22semidirect
127. C23×#388C22semidirect
128. C23×#387C22semidirect
129. C23×#387C22semidirect
131. C23×#386C22semidirect
132. C23×#386C22semidirect
133. C23×#386C22semidirect
134. C23×#386C22semidirect
135. C23×#386C22semidirect
136. C23×#386C22semidirect
137. C23×#386C22semidirect
138. C23×#386C22semidirect
139. C23×#385C22semidirect
140. C23×#385C22semidirect
141. C23×#385C22semidirect
142. C23×#381C22semidirect
143. C23×#380C22semidirect
144. C23×#379C22semidirect
145. C23×C4×C4⋊C4C22semidirect
146. C23×C4×C4⋊C4C22semidirect
147. C23×C4×C4⋊C4C22semidirect
148. C23×C4×C22⋊C4C22semidirect
149. C23×C4×C22⋊C4C22semidirect
150. C23×C4×C22⋊C4C22semidirect
156. C24×#41C23semidirect
199. C22×#546C23semidirect
201. C22×D42C23semidirect
203. C22×#532C23semidirect
205. C23×C4⋊Q8C23semidirect
212. C23×#127C23semidirect
213. C23×#127C23semidirect
216. C23×#124C23semidirect
217. C23×#124C23semidirect
219. C23×#123D4semidirect
221. C23×#123C23semidirect
223. C23×C22⋊Q8C23semidirect
233. C23×#121D4semidirect
238. C23×#121C23semidirect
239. C23×#121C23semidirect
240. C23×#121C23semidirect
241. C23×#121C23semidirect
242. C23×#121C23semidirect
243. C23×#121C23semidirect
252. C23×#120C23semidirect
253. C23×#120C23semidirect
254. C23×#120C23semidirect
255. C23×#120C23semidirect
266. C23×C4×D4C23semidirect
267. C23×C4×D4C23semidirect
268. C23×C4×D4C23semidirect
269. C23×C4×D4C23semidirect
270. C23×C4×D4C23semidirect
271. C23×C4×D4C23semidirect
286. C24×C4⋊C4C23semidirect
323. C24×C22⋊C4C23semidirect
324. C24×C22⋊C4C23semidirect
325. C24×C22⋊C4C23semidirect
335. C24×C42C23semidirect
336. #59095C23direct (N × H)
337. C2×#2676C23semidirect
338. C2×#2670C23semidirect
339. C2×#2541C23semidirect
340. C2×#2491C23semidirect
341. C2×#2404C23semidirect
342. C2×#2452C23semidirect
343. C2×#2445C23semidirect
344. C2×#2428C23semidirect
345. C2×#2433C23semidirect
346. C2×#2433C23semidirect
347. C2×#2416C23semidirect
348. C2×#2456C23semidirect
349. C2×#2424C23semidirect
350. C2×#2424C23semidirect
351. C2×#2410C23semidirect
352. C22×#396C23semidirect
353. C22×#396C23semidirect
354. C22×#394C23semidirect
355. C22×#394C23semidirect
356. C22×#394C23semidirect
357. C22×#394C23semidirect
358. C22×#394C23semidirect
359. C22×#393C23semidirect
360. C22×#393C23semidirect
361. C22×#392C23semidirect
362. C22×#392C23semidirect
363. C22×#392C23semidirect
364. C22×#392C23semidirect
365. C22×#392C23semidirect
366. C22×#392C23semidirect
367. C22×#392C23semidirect
368. C2×#2366C23semidirect
369. C2×#2361C23semidirect
370. C2×D4×C22⋊C4C23semidirect
371. C2×C4×#123C23semidirect
375. C22×#390C23semidirect
376. C22×#390C23semidirect
377. C22×#390C23semidirect
378. C22×#390C23semidirect
379. C22×#390C23semidirect
380. C22×#390C23semidirect
381. C22×#390C23semidirect
382. C22×#390C23semidirect
383. C22×#390C23semidirect
384. C22×#389C23semidirect
385. C22×#389C23semidirect
386. C22×#388C23semidirect
387. C22×#388C23semidirect
388. C22×#388C23semidirect
389. C22×#388C23semidirect
390. C22×#387C23semidirect
391. C22×#387C23semidirect
393. C22×#386C23semidirect
394. C22×#386C23semidirect
395. C22×#386C23semidirect
396. C22×#386C23semidirect
397. C22×#386C23semidirect
398. C22×#386C23semidirect
399. C22×#386C23semidirect
400. C22×#386C23semidirect
401. C22×#385C23semidirect
402. C22×#385C23semidirect
403. C22×#385C23semidirect
404. C22×#381C23semidirect
405. C22×#380C23semidirect
406. C22×#379C23semidirect
407. C22×C4×C4⋊C4C23semidirect
408. C22×C4×C4⋊C4C23semidirect
409. C22×C4×C4⋊C4C23semidirect
410. C22×C4×C22⋊C4C23semidirect
411. C22×C4×C22⋊C4C23semidirect
412. C22×C4×C22⋊C4C23semidirect
453. C23×#41C24semidirect
526. C24×D4#41semidirect
575. C25×C4C2×D4semidirect
603. C2×#546C24semidirect
605. C2×D42C24semidirect
607. C2×#532C24semidirect
609. C22×C4⋊Q8C24semidirect
616. C22×#127C24semidirect
617. C22×#127C24semidirect
620. C22×#124C24semidirect
621. C22×#124C24semidirect
623. C22×#123C2×D4semidirect
625. C22×#123C24semidirect
627. C22×C22⋊Q8C24semidirect
637. C22×#121C2×D4semidirect
642. C22×#121C24semidirect
643. C22×#121C24semidirect
644. C22×#121C24semidirect
645. C22×#121C24semidirect
646. C22×#121C24semidirect
647. C22×#121C24semidirect
656. C22×#120C24semidirect
657. C22×#120C24semidirect
658. C22×#120C24semidirect
659. C22×#120C24semidirect
670. C22×C4×D4C24semidirect
671. C22×C4×D4C24semidirect
672. C22×C4×D4C24semidirect
673. C22×C4×D4C24semidirect
674. C22×C4×D4C24semidirect
675. C22×C4×D4C24semidirect
688. C23×C4⋊C4C2×D4semidirect
689. C23×C4⋊C4C2×D4semidirect
703. C23×C4⋊C4C24semidirect
737. C23×C22⋊C4C2×D4semidirect
738. C23×C22⋊C4C2×D4semidirect
739. C23×C22⋊C4C2×D4semidirect
773. C23×C22⋊C4C24semidirect
774. C23×C22⋊C4C24semidirect
775. C23×C22⋊C4C24semidirect
793. C23×C42C24semidirect
794. #2676C24semidirect
795. #2670C24semidirect
796. #2541C24semidirect
797. #2491C24semidirect
798. #2456C24semidirect
799. #2452C24semidirect
800. #2445C24semidirect
801. #2433C24semidirect
802. #2433C24semidirect
803. #2428C24semidirect
804. #2424C24semidirect
805. #2424C24semidirect
806. #2416C24semidirect
807. #2410C24semidirect
808. #2404C24semidirect
809. C2×#396C24semidirect
810. C2×#396C24semidirect
811. C2×#394C24semidirect
812. C2×#394C24semidirect
813. C2×#394C24semidirect
814. C2×#394C24semidirect
815. C2×#394C24semidirect
816. C2×#393C24semidirect
817. C2×#393C24semidirect
818. C2×#392C24semidirect
819. C2×#392C24semidirect
820. C2×#392C24semidirect
821. C2×#392C24semidirect
822. C2×#392C24semidirect
823. C2×#392C24semidirect
824. C2×#392C24semidirect
825. #2366C24semidirect
826. #2361C24semidirect
827. D4×C22⋊C4C24semidirect
828. C4×#123C24semidirect
832. C2×#390C24semidirect
833. C2×#390C24semidirect
834. C2×#390C24semidirect
835. C2×#390C24semidirect
836. C2×#390C24semidirect
837. C2×#390C24semidirect
838. C2×#390C24semidirect
839. C2×#390C24semidirect
840. C2×#390C24semidirect
841. C2×#389C24semidirect
842. C2×#389C24semidirect
843. C2×#388C24semidirect
844. C2×#388C24semidirect
845. C2×#388C24semidirect
846. C2×#388C24semidirect
847. C2×#387C24semidirect
848. C2×#387C24semidirect
850. C2×#386C24semidirect
851. C2×#386C24semidirect
852. C2×#386C24semidirect
853. C2×#386C24semidirect
854. C2×#386C24semidirect
855. C2×#386C24semidirect
856. C2×#386C24semidirect
857. C2×#386C24semidirect
858. C2×#385C24semidirect
859. C2×#385C24semidirect
860. C2×#385C24semidirect
861. C2×#381C24semidirect
862. C2×#380C24semidirect
863. C2×#379C24semidirect
864. C2×C4×C4⋊C4C24semidirect
865. C2×C4×C4⋊C4C24semidirect
866. C2×C4×C4⋊C4C24semidirect
867. C2×C4×C22⋊C4C24semidirect
868. C2×C4×C22⋊C4C24semidirect
869. C2×C4×C22⋊C4C24semidirect
967. C22×#41C25semidirect
1060. C23×D4C2×#41semidirect
1166. C24×C4C22×D4semidirect
1200. C2×C4⋊Q8C25semidirect
1207. C2×#127C25semidirect
1208. C2×#127C25semidirect
1211. C2×#124C25semidirect
1212. C2×#124C25semidirect
1214. C2×#123C22×D4semidirect
1216. C2×#123C25semidirect
1218. C2×C22⋊Q8C25semidirect
1228. C2×#121C22×D4semidirect
1233. C2×#121C25semidirect
1234. C2×#121C25semidirect
1235. C2×#121C25semidirect
1236. C2×#121C25semidirect
1237. C2×#121C25semidirect
1238. C2×#121C25semidirect
1247. C2×#120C25semidirect
1248. C2×#120C25semidirect
1249. C2×#120C25semidirect
1250. C2×#120C25semidirect
1261. C2×C4×D4C25semidirect
1262. C2×C4×D4C25semidirect
1263. C2×C4×D4C25semidirect
1264. C2×C4×D4C25semidirect
1265. C2×C4×D4C25semidirect
1266. C2×C4×D4C25semidirect
1279. C22×C4⋊C4C22×D4semidirect
1280. C22×C4⋊C4C22×D4semidirect
1294. C22×C4⋊C4C25semidirect
1328. C22×C22⋊C4C22×D4semidirect
1329. C22×C22⋊C4C22×D4semidirect
1330. C22×C22⋊C4C22×D4semidirect
1364. C22×C22⋊C4C25semidirect
1365. C22×C22⋊C4C25semidirect
1366. C22×C22⋊C4C25semidirect
1384. C22×C42C25semidirect
1385. #396C25semidirect
1386. #396C25semidirect
1387. #394C25semidirect
1388. #394C25semidirect
1389. #394C25semidirect
1390. #394C25semidirect
1391. #394C25semidirect
1392. #393C25semidirect
1393. #393C25semidirect
1394. #392C25semidirect
1395. #392C25semidirect
1396. #392C25semidirect
1397. #392C25semidirect
1398. #392C25semidirect
1399. #392C25semidirect
1400. #392C25semidirect
1404. #390C25semidirect
1405. #390C25semidirect
1406. #390C25semidirect
1407. #390C25semidirect
1408. #390C25semidirect
1409. #390C25semidirect
1410. #390C25semidirect
1411. #390C25semidirect
1412. #389C25semidirect
1413. #389C25semidirect
1414. #388C25semidirect
1415. #388C25semidirect
1416. #388C25semidirect
1417. #388C25semidirect
1418. #387C25semidirect
1419. #387C25semidirect
1421. #386C25semidirect
1422. #386C25semidirect
1423. #386C25semidirect
1424. #386C25semidirect
1425. #386C25semidirect
1426. #386C25semidirect
1427. #386C25semidirect
1428. #386C25semidirect
1429. #385C25semidirect
1430. #385C25semidirect
1431. #385C25semidirect
1432. #381C25semidirect
1433. #380C25semidirect
1434. #379C25semidirect
1435. C4×C4⋊C4C25semidirect
1436. C4×C4⋊C4C25semidirect
1437. C4×C4⋊C4C25semidirect
1438. C4×C22⋊C4C25semidirect
1439. C4×C22⋊C4C25semidirect
1440. C4×C22⋊C4C25semidirect
1681. C22×D4C22×#41semidirect
1791. C23×C4#546semidirect
1801. C23×C4C23×D4semidirect
1839. #123C23×D4semidirect
1850. #121C23×D4semidirect
1877. C2×C4⋊C4C23×D4semidirect
1878. C2×C4⋊C4C23×D4semidirect
1925. C2×C22⋊C4C23×D4semidirect
1926. C2×C22⋊C4C23×D4semidirect
1927. C2×C22⋊C4C23×D4semidirect
2216. C2×D4C23×#41semidirect
2307. C22×C4C2×#546semidirect
2317. C22×C4C24×D4semidirect
2349. C4⋊C4C24×D4semidirect
2350. C4⋊C4C24×D4semidirect
2381. C22⋊C4C24×D4semidirect
2382. C22⋊C4C24×D4semidirect
2383. C22⋊C4C24×D4semidirect
2491. C23#59095direct (N × H)
2599. C2×C4C22×#546semidirect
2660. C22C2×#59095direct (N × H)
2692. C4C23×#546semidirect
2706. C2C22×#59095direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C23×#24912
C23×#24522
C23×C4×#1232
C23×#24452
C22×#590952
C24×#5322
C24×#3902
C23×#23612
C23×#23662
C23×#26702
C23×#24562
C23×#26762
C23×#25412
C23×#24282
C23×#24162
C23×#24242
C23×#24042
C24×#5462
C23×D4×C22⋊C42
C23×#24332
C23×#24102
C24×D422