Finite Group Databasebeta

← C2×C4×#2539 #72342255

Subgroups — C2×C4×#2539 #72342255

Order 1024.

50553 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#2539C211yesmaximal, characteristic
2C22×C4×#123C212yesmaximal, complemented
3C22×C4×#121C211yesmaximal, characteristic, complemented
4C22×C4×#120C212yesmaximal, complemented
5C23×C4×C22⋊C4C211yesmaximal, characteristic, complemented
6C4×#2539C2132yesmaximal, direct product factor
7C2×#14230C212yesmaximal, complemented
8C2×#14228C212yesmaximal, complemented
9C2×#14152C211yesmaximal, characteristic, complemented
10C2×#14084C214yesmaximal, complemented
11C2×#13996C212yesmaximal, complemented
12C2×#13995C212yesmaximal, complemented
13C2×#13965C211yesmaximal, characteristic, complemented
14C2×#13903C211yesmaximal, characteristic, complemented
15C2×C4×#399C212yesmaximal, complemented
16C2×C4×#392C212yesmaximal, complemented
17C2×C4×#390C214yesmaximal, complemented
18C2×C42×C22⋊C4C211yesmaximal, characteristic, complemented
19C26×C4C2211yescharacteristic
20C23×#123C2212yes—
21C23×#121C2211yescharacteristic
22C23×#120C2212yes—
23C23×C4×D4C2212yes—
24C23×C4×D4C2214yes—
25C23×C4×D4C2211yescharacteristic, complemented
26C24×C22⋊C4C2211yescharacteristic
27C24×C22⋊C4C2211yescharacteristic
28C24×C42C2211yescharacteristic
29C24×C42C2211yescharacteristic
30C2×#2539C4132yesdirect product factor
31C2×#2539C22116yes—
32C22×#399C2212yes—
33C22×#392C2212yes—
34C2×C4×#123—232no—
35C2×C4×#123C22132yescomplemented
36C2×C4×#121—216no—
37C2×C4×#121C22116yescomplemented
38C2×C4×#120—232no—
39C2×C4×#120C22132yescomplemented
40C22×#390C2214yes—
41C22×#390C2214yes—
42C22×#390C2211yescharacteristic, complemented
43C22×#389C2211yescharacteristic, complemented
44C22×#388C2212yescomplemented
45C22×#388C2214yescomplemented
46C22×#387C2214yescomplemented
47C22×#386C2212yes—
48C22×#386C2214yes—
49C22×#386C2212yes—
50C22×#386C2212yes—
51C22×#385C2214yes—
52C22×#385C2212yes—
53C22×#385C2212yes—
54C22×#381C2212yes—
55C22×#380C2211yescharacteristic
56C22×#379C2212yes—
57C22×C4×C4⋊C4C2211yescharacteristic, complemented
58C22×C4×C4⋊C4C2214yescomplemented
59C22×C4×C22⋊C4—216no—
60C22×C4×C22⋊C4C2214yes—
61C22×C4×C22⋊C4C2211yescharacteristic
62C22×C4×C22⋊C4C2212yes—
63C22×C4×C22⋊C4C2212yes—
64C22×C4×C22⋊C4C2212yes—
65C22×C4×C22⋊C4C2212yes—
66C22×C4×C22⋊C4C2212yes—
67C22×C4×C22⋊C4C2211yescharacteristic
68C22×C4×C22⋊C4C2212yes—
69C22×C4×C22⋊C4C22116yescomplemented
70C22×C4×C22⋊C4C2212yescomplemented
71C22×C4×C22⋊C4C2214yescomplemented
72C23×#95C2211yescharacteristic
73C23×#95C2211yescharacteristic
74C22×C43C2212yescomplemented
75#14230C22132yescomplemented
76#14228C22132yescomplemented
77#14152C22116yescomplemented
78#14084C22164yescomplemented
79#13996C22132yescomplemented
80#13995C22132yescomplemented
81#13965C22116yescomplemented
82#13903C22116yescomplemented
83C4×#399C22132yescomplemented
84C4×#392C22132yescomplemented
85C2×#1445C2212yescomplemented
86C2×#1445C2214yescomplemented
87C2×#1444C2212yescomplemented
88C2×#1444C2212yescomplemented
89C2×#1439C2212yes—
90C2×#1439C2212yes—
91C2×#1439C2214yes—
92C2×#1439C2214yescomplemented
93C2×#1438C2214yes—
94C2×#1438C2212yescomplemented
95C4×#390C22164yescomplemented
96C2×#1437C2214yes—
97C2×#1437C2214yes—
98C2×#1437C2214yescomplemented
99C2×#1437C2214yescomplemented
100C2×C4⋊#95C2214yescomplemented
101C2×C4⋊#95C2214yescomplemented
102C42×C22⋊C4C22116yescomplemented
103C2×C4×#95C2212yescomplemented
104C2×C4×#95C2212yescomplemented
105C2×C4×#95C2212yescomplemented
106C27C2311yescharacteristic
107C24×D4C2312yes—
108C24×D4C2314yes—
109C24×D4C2311yescharacteristic
110C25×C4—28no—
111C25×C4—216no—
112C25×C4—216no—
113C25×C4—48no—
114C25×C4C2312yes—
115C25×C4C2311yescharacteristic
116C25×C4C2312yes—
117C25×C4C2311yescharacteristic
118C25×C4C2312yes—
119C25×C4C2318yes—
120C25×C4C2311yescharacteristic
121C25×C4C2311yescharacteristic
122C25×C4C2311yescharacteristic
123C25×C4C2311yescharacteristic
124C22×#123—216no—
125C22×#123—216no—
126C22×#123C2×C4132yescomplemented
127C22×#123C23116yes—
128C22×#121—28no—
129C22×#121—28no—
130C22×#121C2×C4116yescomplemented
131C22×#121C2318yes—
132C22×#120—216no—
133C22×#120—216no—
134C22×#120C2×C4132yescomplemented
135C22×#120C23116yes—
136C22×C4×D4—232no—
137C22×C4×D4—28no—
138C22×C4×D4—216no—
139C22×C4×D4—216no—
140C22×C4×D4—216no—
141C22×C4×D4—232no—
142C22×C4×D4—416no—
143C22×C4×D4—48no—
144C22×C4×D4C23116yes—
145C22×C4×D4C23132yes—
146C22×C4×D4C2318yescomplemented
147C23×C4⋊C4C2312yes—
148C23×C4⋊C4C2314yes—
149C23×C4⋊C4C2314yes—
150C23×C4⋊C4C2311yescharacteristic
151C23×C4⋊C4C2314yes—
152C23×C4⋊C4C2311yescharacteristic
153C23×C4⋊C4C2311yescharacteristic
154C23×C22⋊C4—28no—
155C23×C22⋊C4—28no—
156C23×C22⋊C4—28no—
157C23×C22⋊C4—216no—
158C23×C22⋊C4C2×C4116yescomplemented
159C23×C22⋊C4C2312yes—
160C23×C22⋊C4C2318yes—
161C23×C22⋊C4C2312yes—
162C23×C22⋊C4C2312yes—
163C23×C22⋊C4C2312yes—
164C23×C22⋊C4C2314yes—
165C23×C22⋊C4C2314yes—
166C23×C22⋊C4C2314yes—
167C23×C22⋊C4C2314yes—
168C23×C22⋊C4C2312yes—
169C23×C22⋊C4C2314yes—
170C23×C22⋊C4C2312yes—
171C23×C22⋊C4C2318yes—
172C23×C22⋊C4C2314yes—
173C23×C22⋊C4C2312yes—
174C23×C22⋊C4C2312yes—
175C23×C22⋊C4C2312yes—
176C23×C22⋊C4C2312yes—
177C23×C22⋊C4C2312yes—
178C23×C42—28no—
179C23×C42—216no—
180C23×C42—48no—
181C23×C42D4116yescomplemented
182C23×C42C2312yes—
183C23×C42C2318yes—
184C23×C42C2314yes—
185C23×C42C2312yes—
186C23×C42C2312yes—
187C23×C42C2311yescharacteristic
188C23×C42C2311yescharacteristic
189C23×C42C2318yes—
190C23×C42C2312yes—
191C23×C42C2312yes—
192C23×C42C2311yescharacteristic
193C23×C42C2311yescharacteristic
194C23×C42C2314yes—
195#2539C2×C41256yesdirect product factor
196C2×#399C2×C4132yescomplemented
197C2×#399C23116yes—
198C2×#392C2×C4132yescomplemented
199C2×#392C23116yes—
200C4×#123—2256no—
201C4×#121—2128no—
202C4×#120—2256no—
203C2×#390—28no—
204C2×#390—232no—
205C2×#390C2×C4164yescomplemented
206C2×#390C23132yes—
207C2×#390C23132yes—
208C2×#390C2318yescomplemented
209C2×#389—28no—
210C2×#389C2318yescomplemented
211C2×#388—216no—
212C2×#388—232no—
213C2×#388C23116yescomplemented
214C2×#388C23132yescomplemented
215C2×#387—232no—
216C2×#387C23132yescomplemented
217C2×#386—232no—
218C2×#386—216no—
219C2×#386—216no—
220C2×#386—216no—
221C2×#386C23132yes—
222C2×#386C23116yes—
223C2×#386C23116yes—
224C2×#386C23116yes—
225C2×#385—232no—
226C2×#385—216no—
227C2×#385—216no—
228C2×#385C23132yes—
229C2×#385C23116yes—
230C2×#385C23116yes—
231C2×#381—216no—
232C2×#381C23116yes—
233C2×#380—28no—
234C2×#380C2318yes—
235C2×#379—216no—
236C2×#379C23116yes—
237C2×C4×C4⋊C4—28no—
238C2×C4×C4⋊C4—232no—
239C2×C4×C4⋊C4C2318yescomplemented
240C2×C4×C4⋊C4C23132yescomplemented
241C2×C4×C22⋊C4—216no—
242C2×C4×C22⋊C4—216no—
243C2×C4×C22⋊C4—216no—
244C2×C4×C22⋊C4—216no—
245C2×C4×C22⋊C4—232no—
246C2×C4×C22⋊C4—216no—
247C2×C4×C22⋊C4—232no—
248C2×C4×C22⋊C4—2128no—
249C2×C4×C22⋊C4—28no—
250C2×C4×C22⋊C4—216no—
251C2×C4×C22⋊C4C2×C4116yescomplemented
252C2×C4×C22⋊C4D4132yescomplemented
253C2×C4×C22⋊C4C23116yes—
254C2×C4×C22⋊C4C23116yes—
255C2×C4×C22⋊C4C23132yes—
256C2×C4×C22⋊C4C2318yes—
257C2×C4×C22⋊C4C23116yes—
258C2×C4×C22⋊C4C23116yes—
259C2×C4×C22⋊C4C23116yes—
260C2×C4×C22⋊C4C2318yes—
261C2×C4×C22⋊C4C23116yes—
262C2×C4×C22⋊C4C23132yescomplemented
263C2×C4×C22⋊C4C23116yescomplemented
264C22×#95—28no—
265C22×#95—28no—
266C22×#95C2314yes—
267C22×#95C2314yes—
268C22×#95C2312yes—
269C22×#95C2312yes—
270C22×#95C2312yes—
271C22×#95C2314yes—
272C22×#95C2314yes—
273C22×#95C2314yes—
274C22×#95C2312yes—
275C22×#95C2314yes—
276C22×#95C2314yes—
277C22×#95C2318yes—
278C22×#95C2318yes—
279C22×#95C2312yes—
280C22×#95C2312yes—
281C22×#95C2312yes—
282C22×#95C2312yes—
283C22×#95C2312yes—
284C22×#95C2314yes—
285C2×C43—48no—
286C2×C43C23116yescomplemented
287#1445C23132yescomplemented
288#1445C23116yescomplemented
289#1444C23116yescomplemented
290#1444C23116yescomplemented
291#1439C23132yes—
292#1439C23116yes—
293#1439C23116yes—
294#1439C23132yescomplemented
295#1438C23132yes—
296#1438C23116yescomplemented
297#1437C23132yes—
298#1437C23132yes—
299#1437C23132yescomplemented
300#1437C23132yescomplemented
301C4⋊#95C23132yescomplemented
302C4⋊#95C23132yescomplemented
303C4×#95C23116yescomplemented
304C4×#95C23116yescomplemented
305C4×#95C23116yescomplemented
306C26—24no—
307C26—28no—
308C26—28no—
309C26—24no—
310C26—28no—
311C26—28no—
312C26—44no—
313C26—44no—
314C26C22×C418yes—
315C26C2412yes—
316C26C2412yes—
317C26C2414yes—
318C26C2411yescharacteristic
319C23×D4—28no—
320C23×D4—28no—
321C23×D4—28no—
322C23×D4—216no—
323C23×D4—28no—
324C23×D4—28no—
325C23×D4—28no—
326C23×D4—216no—
327C23×D4—216no—
328C23×D4—24no—
329C23×D4—216no—
330C23×D4—24no—
331C23×D4—44no—
332C23×D4—48no—
333C23×D4—44no—
334C23×D4—48no—
335C23×D4C22×C4116yes—
336C23×D4C22×C4132yes—
337C23×D4C22×C418yescomplemented
338C23×D4C2418yes—
339C23×D4C24116yes—
340C23×D4C2414yes—
341C24×C4—28no—
342C24×C4—28no—
343C24×C4—2128no—
344C24×C4—24no—
345C24×C4—24no—
346C24×C4—24no—
347C24×C4—28no—
348C24×C4—28no—
349C24×C4—24no—
350C24×C4—28no—
351C24×C4—28no—
352C24×C4—216no—
353C24×C4—28no—
354C24×C4—232no—
355C24×C4—28no—
356C24×C4—28no—
357C24×C4—264no—
358C24×C4—28no—
359C24×C4—28no—
360C24×C4—28no—
361C24×C4—28no—
362C24×C4—216no—
363C24×C4—28no—
364C24×C4—28no—
365C24×C4—216no—
366C24×C4—264no—
367C24×C4—28no—
368C24×C4—28no—
369C24×C4—28no—
370C24×C4—216no—
371C24×C4—216no—
372C24×C4—432no—
373C24×C4—48no—
374C24×C4—44no—
375C24×C4—44no—
376C24×C4—44no—
377C24×C4—44no—
378C24×C4—44no—
379C24×C4—4256no—
380C24×C4—464no—
381C24×C4—464no—
382C24×C4C22×C418yes—
383C24×C4C22×C418yes—
384C24×C4C2×D418yes—
385C24×C4C2×D418yes—
386C24×C4C2×D4116yes—
387C24×C4C2×D418yes—
388C24×C4#41116yes—
389C24×C4#4118yes—
390C24×C4C2412yes—
391C24×C4C2418yes—
392C24×C4C2412yes—
393C24×C4C2412yes—
394C24×C4C2414yes—
395C24×C4C2412yes—
396C24×C4C2411yescharacteristic
397C24×C4C2414yes—
398C24×C4C2412yes—
399C24×C4C2418yes—
400C24×C4C2412yes—
401C24×C4C2414yes—
402C24×C4C2418yes—
403C24×C4C2414yes—
404C24×C4C2414yes—
405C24×C4C2411yescharacteristic
406C24×C4C2411yescharacteristic
407C24×C4C2414yes—
408C24×C4C2411yescharacteristic
409C24×C4C2414yes—
410C24×C4C2411yescharacteristic
411C24×C4C2414yes—
412C24×C4C2411yescharacteristic
413C2×#123—2256no—
414C2×#123—264no—
415C2×#123—264no—
416C2×#123C22×C41128yescomplemented
417C2×#121—2128no—
418C2×#121—232no—
419C2×#121—232no—
420C2×#121C22×C4164yescomplemented
421C2×#120—2256no—
422C2×#120—264no—
423C2×#120—264no—
424C2×#120C22×C41128yescomplemented
425C2×C4×D4—264no—
426C2×C4×D4—264no—
427C2×C4×D4—264no—
428C2×C4×D4—2128no—
429C2×C4×D4—2128no—
430C2×C4×D4—232no—
431C2×C4×D4—464no—
432C2×C4×D4—432no—
433C2×C4×D4—4256no—
434C2×C4×D4—464no—
435C2×C4×D4—4128no—
436C22×C4⋊C4—24no—
437C22×C4⋊C4—216no—
438C22×C4⋊C4—24no—
439C22×C4⋊C4—216no—
440C22×C4⋊C4—24no—
441C22×C4⋊C4—216no—
442C22×C4⋊C4—28no—
443C22×C4⋊C4—28no—
444C22×C4⋊C4—28no—
445C22×C4⋊C4—24no—
446C22×C4⋊C4—216no—
447C22×C4⋊C4—216no—
448C22×C4⋊C4—216no—
449C22×C4⋊C4—48no—
450C22×C4⋊C4—44no—
451C22×C4⋊C4—48no—
452C22×C4⋊C4—44no—
453C22×C4⋊C4C22×C418yescomplemented
454C22×C4⋊C4C22×C4132yescomplemented
455C22×C4⋊C4C2418yes—
456C22×C4⋊C4C24116yes—
457C22×C4⋊C4C24116yes—
458C22×C4⋊C4C2414yes—
459C22×C4⋊C4C24116yes—
460C22×C4⋊C4C2414yes—
461C22×C4⋊C4C2414yes—
462C22×C22⋊C4—2128no—
463C22×C22⋊C4—28no—
464C22×C22⋊C4—28no—
465C22×C22⋊C4—28no—
466C22×C22⋊C4—2128no—
467C22×C22⋊C4—28no—
468C22×C22⋊C4—232no—
469C22×C22⋊C4—28no—
470C22×C22⋊C4—28no—
471C22×C22⋊C4—232no—
472C22×C22⋊C4—28no—
473C22×C22⋊C4—216no—
474C22×C22⋊C4—28no—
475C22×C22⋊C4—216no—
476C22×C22⋊C4—28no—
477C22×C22⋊C4—28no—
478C22×C22⋊C4—28no—
479C22×C22⋊C4—232no—
480C22×C22⋊C4—28no—
481C22×C22⋊C4—216no—
482C22×C22⋊C4—28no—
483C22×C22⋊C4—216no—
484C22×C22⋊C4—264no—
485C22×C22⋊C4—28no—
486C22×C22⋊C4—28no—
487C22×C22⋊C4—28no—
488C22×C22⋊C4—216no—
489C22×C22⋊C4—216no—
490C22×C22⋊C4—216no—
491C22×C22⋊C4—216no—
492C22×C22⋊C4—28no—
493C22×C22⋊C4—28no—
494C22×C22⋊C4—28no—
495C22×C22⋊C4—28no—
496C22×C22⋊C4—216no—
497C22×C22⋊C4—216no—
498C22×C22⋊C4—28no—
499C22×C22⋊C4—216no—
500C22×C22⋊C4—216no—
501C22×C22⋊C4—216no—
502C22×C22⋊C4—48no—
503C22×C22⋊C4—48no—
504C22×C22⋊C4—48no—
505C22×C22⋊C4—48no—
506C22×C22⋊C4—48no—
507C22×C22⋊C4C22×C4116yes—
508C22×C22⋊C4C22×C4132yes—
509C22×C22⋊C4C22×C4116yes—
510C22×C22⋊C4C22×C4116yes—
511C22×C22⋊C4C22×C4164yescomplemented
512C22×C22⋊C4C22×C4132yescomplemented
513C22×C22⋊C4C22×C4116yescomplemented
514C22×C22⋊C4C2×D4116yes—
515C22×C22⋊C4C2×D4116yes—
516C22×C22⋊C4#41116yes—
517C22×C22⋊C4#41116yes—
518C22×C22⋊C4C2418yes—
519C22×C22⋊C4C2418yes—
520C22×C22⋊C4C2418yes—
521C22×C22⋊C4C2418yes—
522C22×C22⋊C4C24116yes—
523C22×C22⋊C4C24116yes—
524C22×C22⋊C4C24116yes—
525C22×C22⋊C4C24116yes—
526C22×C22⋊C4C2418yes—
527C22×C22⋊C4C24116yes—
528C22×C22⋊C4C2418yes—
529C22×C22⋊C4C24116yes—
530C22×C22⋊C4C2418yes—
531C22×C22⋊C4C2418yes—
532C22×C22⋊C4C2418yes—
533C22×C22⋊C4C2418yes—
534C22×C22⋊C4C2418yes—
535C22×C42—216no—
536C22×C42—28no—
537C22×C42—28no—
538C22×C42—216no—
539C22×C42—28no—
540C22×C42—232no—
541C22×C42—28no—
542C22×C42—216no—
543C22×C42—216no—
544C22×C42—264no—
545C22×C42—28no—
546C22×C42—28no—
547C22×C42—28no—
548C22×C42—216no—
549C22×C42—28no—
550C22×C42—216no—
551C22×C42—464no—
552C22×C42—432no—
553C22×C42—44no—
554C22×C42—44no—
555C22×C42—44no—
556C22×C42—44no—
557C22×C42—44no—
558C22×C42—48no—
559C22×C42—44no—
560C22×C42—464no—
561C22×C42C22×C4116yescomplemented
562C22×C42C2×D418yes—
563C22×C42C2×D418yes—
564C22×C42C2×D4132yes—
565C22×C42C2×D418yes—
566C22×C42C2×D418yes—
567C22×C42C2×D4164yescomplemented
568C22×C42C2418yes—
569C22×C42C2418yes—
570C22×C42C2418yes—
571C22×C42C24116yes—
572C22×C42C2414yes—
573C22×C42C2414yes—
574C22×C42C24116yes—
575C22×C42C2418yes—
576C22×C42C2418yes—
577C22×C42C2414yes—
578C22×C42C2414yes—
579#399C22×C41128yescomplemented
580#392C22×C41128yescomplemented
581#390—2128no—
582#390—232no—
583#390C22×C41256yescomplemented
584#389—232no—
585#388—264no—
586#388—2128no—
587#387—2128no—
588#386—264no—
589#386—264no—
590#386—264no—
591#386—2128no—
592#385—264no—
593#385—264no—
594#385—2128no—
595#381—264no—
596#380—232no—
597#379—264no—
598C4×C4⋊C4—232no—
599C4×C4⋊C4—2128no—
600C4×C22⋊C4—232no—
601C4×C22⋊C4—264no—
602C4×C22⋊C4—264no—
603C4×C22⋊C4—264no—
604C4×C22⋊C4—264no—
605C4×C22⋊C4—264no—
606C4×C22⋊C4—2128no—
607C4×C22⋊C4—264no—
608C4×C22⋊C4—2128no—
609C4×C22⋊C4C22×C4164yescomplemented
610C4×C22⋊C4C2×D41128yescomplemented
611C2×#95—28no—
612C2×#95—232no—
613C2×#95—28no—
614C2×#95—28no—
615C2×#95—28no—
616C2×#95—232no—
617C2×#95—28no—
618C2×#95—216no—
619C2×#95—216no—
620C2×#95—216no—
621C2×#95—216no—
622C2×#95—28no—
623C2×#95—216no—
624C2×#95—216no—
625C2×#95—28no—
626C2×#95—28no—
627C2×#95—216no—
628C2×#95C22×C4116yescomplemented
629C2×#95C2×D4132yes—
630C2×#95C24116yes—
631C2×#95C2418yes—
632C2×#95C2418yes—
633C2×#95C2418yes—
634C2×#95C2418yes—
635C2×#95C2418yes—
636C2×#95C24116yes—
637C2×#95C24116yes—
638C2×#95C24116yes—
639C2×#95C24116yes—
640C2×#95C24116yes—
641C2×#95C24116yes—
642C2×#95C2418yes—
643C2×#95C2418yes—
644C2×#95C2418yes—
645C2×#95C2418yes—
646C2×#95C24116yes—
647C43—432no—
648C25—24no—
649C25—24no—
650C25—24no—
651C25—24no—
652C25—232no—
653C25—232no—
654C25—264no—
655C25—232no—
656C25—264no—
657C25—28no—
658C25—24no—
659C25—28no—
660C25—216no—
661C25—28no—
662C25—24no—
663C25—24no—
664C25—28no—
665C25—216no—
666C25—24no—
667C25—28no—
668C25—28no—
669C25—264no—
670C25—24no—
671C25—24no—
672C25—24no—
673C25—216no—
674C25—24no—
675C25—28no—
676C25—28no—
677C25—24no—
678C25—216no—
679C25—24no—
680C25—28no—
681C25—28no—
682C25—48no—
683C25—432no—
684C25—48no—
685C25—464no—
686C25—464no—
687C25—464no—
688C25—464no—
689C25—416no—
690C25—416no—
691C25—432no—
692C25—416no—
693C25—432no—
694C25—416no—
695C25C23×C418yes—
696C25C23×C418yes—
697C25C23×C4116yes—
698C25C23×C414yes—
699C25C22×D418yes—
700C25C22×D414yes—
701C25C2×#4118yes—
702C25C2×#4118yes—
703C25C2×#4114yes—
704C25C2×#4118yes—
705C25C2514yes—
706C25C2514yes—
707C25C2512yes—
708C25C2511yescharacteristic
709C22×D4—264no—
710C22×D4—264no—
711C22×D4—264no—
712C22×D4—2128no—
713C22×D4—216no—
714C22×D4—216no—
715C22×D4—216no—
716C22×D4—232no—
717C22×D4—216no—
718C22×D4—216no—
719C22×D4—216no—
720C22×D4—232no—
721C22×D4—2128no—
722C22×D4—232no—
723C22×D4—232no—
724C22×D4—28no—
725C22×D4—232no—
726C22×D4—28no—
727C22×D4—416no—
728C22×D4—48no—
729C22×D4—464no—
730C22×D4—432no—
731C22×D4—416no—
732C22×D4—48no—
733C22×D4—464no—
734C22×D4—464no—
735C22×D4—464no—
736C22×D4—464no—
737C22×D4—416no—
738C22×D4—416no—
739C22×D4—432no—
740C22×D4—432no—
741C22×D4—432no—
742C22×D4—432no—
743C22×D4—432no—
744C22×D4C23×C4132yes—
745C22×D4C23×C4164yes—
746C22×D4C23×C4116yescomplemented
747C23×C4—28no—
748C23×C4—28no—
749C23×C4—24no—
750C23×C4—24no—
751C23×C4—24no—
752C23×C4—28no—
753C23×C4—24no—
754C23×C4—24no—
755C23×C4—24no—
756C23×C4—24no—
757C23×C4—28no—
758C23×C4—24no—
759C23×C4—232no—
760C23×C4—232no—
761C23×C4—2128no—
762C23×C4—216no—
763C23×C4—216no—
764C23×C4—232no—
765C23×C4—264no—
766C23×C4—2256no—
767C23×C4—232no—
768C23×C4—232no—
769C23×C4—264no—
770C23×C4—232no—
771C23×C4—24no—
772C23×C4—28no—
773C23×C4—28no—
774C23×C4—24no—
775C23×C4—24no—
776C23×C4—24no—
777C23×C4—28no—
778C23×C4—28no—
779C23×C4—28no—
780C23×C4—24no—
781C23×C4—216no—
782C23×C4—28no—
783C23×C4—24no—
784C23×C4—28no—
785C23×C4—24no—
786C23×C4—24no—
787C23×C4—24no—
788C23×C4—24no—
789C23×C4—28no—
790C23×C4—28no—
791C23×C4—28no—
792C23×C4—24no—
793C23×C4—28no—
794C23×C4—28no—
795C23×C4—24no—
796C23×C4—216no—
797C23×C4—216no—
798C23×C4—24no—
799C23×C4—24no—
800C23×C4—216no—
801C23×C4—24no—
802C23×C4—28no—
803C23×C4—28no—
804C23×C4—28no—
805C23×C4—28no—
806C23×C4—232no—
807C23×C4—264no—
808C23×C4—2128no—
809C23×C4—232no—
810C23×C4—216no—
811C23×C4—216no—
812C23×C4—216no—
813C23×C4—216no—
814C23×C4—216no—
815C23×C4—216no—
816C23×C4—216no—
817C23×C4—232no—
818C23×C4—24no—
819C23×C4—24no—
820C23×C4—24no—
821C23×C4—24no—
822C23×C4—24no—
823C23×C4—24no—
824C23×C4—216no—
825C23×C4—216no—
826C23×C4—28no—
827C23×C4—28no—
828C23×C4—28no—
829C23×C4—28no—
830C23×C4—216no—
831C23×C4—216no—
832C23×C4—216no—
833C23×C4—232no—
834C23×C4—232no—
835C23×C4—232no—
836C23×C4—416no—
837C23×C4—48no—
838C23×C4—432no—
839C23×C4—416no—
840C23×C4—416no—
841C23×C4—416no—
842C23×C4—432no—
843C23×C4—48no—
844C23×C4—48no—
845C23×C4—48no—
846C23×C4—48no—
847C23×C4—464no—
848C23×C4—4512no—
849C23×C4—464no—
850C23×C4—464no—
851C23×C4—464no—
852C23×C4—464no—
853C23×C4—432no—
854C23×C4—4128no—
855C23×C4—41024no—
856C23×C4—416no—
857C23×C4—416no—
858C23×C4—416no—
859C23×C4—416no—
860C23×C4—416no—
861C23×C4—432no—
862C23×C4—416no—
863C23×C4—432no—
864C23×C4—4128no—
865C23×C4—432no—
866C23×C4—432no—
867C23×C4—464no—
868C23×C4—432no—
869C23×C4—432no—
870C23×C4—432no—
871C23×C4—464no—
872C23×C4—464no—
873C23×C4C4×D4164yescomplemented
874C23×C4#127164yes—
875C23×C4C23×C418yes—
876C23×C4C23×C418yes—
877C23×C4C23×C4116yes—
878C23×C4C23×C414yes—
879C23×C4C23×C4116yes—
880C23×C4C23×C414yes—
881C23×C4C23×C4116yes—
882C23×C4C22×D4116yes—
883C23×C4C22×D414yes—
884C23×C4C22×D4116yes—
885C23×C4C22×D414yes—
886C23×C4C22×D4116yes—
887C23×C4C22×D414yes—
888C23×C4C22×D414yes—
889C23×C4C22×D418yes—
890C23×C4C22×D414yes—
891C23×C4C22×D4132yes—
892C23×C4C22×D4116yes—
893C23×C4C22×D4116yes—
894C23×C4C22×D414yes—
895C23×C4C22×D418yes—
896C23×C4C2×#4118yes—
897C23×C4C2×#4118yes—
898C23×C4C2×#41132yes—
899C23×C4C2×#4114yes—
900C23×C4C2×#41116yes—
901C23×C4C2×#4114yes—
902C23×C4C2×#4118yes—
903C23×C4C2×#41116yes—
904C23×C4C2×#4118yes—
905C23×C4H(5,𝔽2)18yes—
906C23×C4C2514yes—
907C23×C4C2514yes—
908C23×C4C2514yes—
909C23×C4C2514yes—
910C23×C4C2518yes—
911C23×C4C2512yes—
912C23×C4C2514yes—
913C23×C4C2514yes—
914C23×C4C2512yes—
915C23×C4C2518yes—
916C23×C4C2512yes—
917C23×C4C2512yes—
918C23×C4C2512yes—
919C23×C4C2512yes—
920#123—2512no—
921#121—2256no—
922#120—2512no—
923C4×D4—4512no—
924C4×D4—4128no—
925C4×D4—4256no—
926C2×C4⋊C4—232no—
927C2×C4⋊C4—2128no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—232no—
930C2×C4⋊C4—28no—
931C2×C4⋊C4—232no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—232no—
934C2×C4⋊C4—216no—
935C2×C4⋊C4—216no—
936C2×C4⋊C4—216no—
937C2×C4⋊C4—28no—
938C2×C4⋊C4—232no—
939C2×C4⋊C4—232no—
940C2×C4⋊C4—232no—
941C2×C4⋊C4—416no—
942C2×C4⋊C4—48no—
943C2×C4⋊C4—416no—
944C2×C4⋊C4—48no—
945C2×C4⋊C4—464no—
946C2×C4⋊C4—464no—
947C2×C4⋊C4—416no—
948C2×C4⋊C4—416no—
949C2×C4⋊C4—432no—
950C2×C4⋊C4C23×C4116yescomplemented
951C2×C4⋊C4C23×C4164yescomplemented
952C2×C22⋊C4—264no—
953C2×C22⋊C4—2256no—
954C2×C22⋊C4—264no—
955C2×C22⋊C4—216no—
956C2×C22⋊C4—216no—
957C2×C22⋊C4—216no—
958C2×C22⋊C4—264no—
959C2×C22⋊C4—264no—
960C2×C22⋊C4—2128no—
961C2×C22⋊C4—264no—
962C2×C22⋊C4—2128no—
963C2×C22⋊C4—2256no—
964C2×C22⋊C4—264no—
965C2×C22⋊C4—216no—
966C2×C22⋊C4—216no—
967C2×C22⋊C4—216no—
968C2×C22⋊C4—216no—
969C2×C22⋊C4—232no—
970C2×C22⋊C4—216no—
971C2×C22⋊C4—232no—
972C2×C22⋊C4—216no—
973C2×C22⋊C4—216no—
974C2×C22⋊C4—216no—
975C2×C22⋊C4—216no—
976C2×C22⋊C4—232no—
977C2×C22⋊C4—216no—
978C2×C22⋊C4—232no—
979C2×C22⋊C4—216no—
980C2×C22⋊C4—216no—
981C2×C22⋊C4—216no—
982C2×C22⋊C4—232no—
983C2×C22⋊C4—232no—
984C2×C22⋊C4—232no—
985C2×C22⋊C4—232no—
986C2×C22⋊C4—216no—
987C2×C22⋊C4—216no—
988C2×C22⋊C4—216no—
989C2×C22⋊C4—216no—
990C2×C22⋊C4—232no—
991C2×C22⋊C4—232no—
992C2×C22⋊C4—216no—
993C2×C22⋊C4—232no—
994C2×C22⋊C4—232no—
995C2×C22⋊C4—232no—
996C2×C22⋊C4—416no—
997C2×C22⋊C4—416no—
998C2×C22⋊C4—416no—
999C2×C22⋊C4—416no—
1000C2×C22⋊C4—416no—
1001C2×C22⋊C4—464no—
1002C2×C22⋊C4—464no—
1003C2×C22⋊C4—464no—
1004C2×C22⋊C4—464no—
1005C2×C22⋊C4—432no—
1006C2×C22⋊C4—432no—
1007C2×C22⋊C4—432no—
1008C2×C22⋊C4—432no—
1009C2×C22⋊C4C4×D41128yescomplemented
1010C2×C22⋊C4C23×C4132yes—
1011C2×C22⋊C4C23×C4132yes—
1012C2×C22⋊C4C23×C4164yes—
1013C2×C22⋊C4C23×C4132yes—
1014C2×C22⋊C4C23×C4132yescomplemented
1015C2×C22⋊C4C23×C4164yescomplemented
1016C2×C22⋊C4C22×D4132yes—
1017C2×C22⋊C4C22×D4132yes—
1018C2×C22⋊C4C2×#41132yes—
1019C2×C22⋊C4C2×#41132yes—
1020C2×C42—232no—
1021C2×C42—232no—
1022C2×C42—2128no—
1023C2×C42—232no—
1024C2×C42—232no—
1025C2×C42—216no—
1026C2×C42—216no—
1027C2×C42—216no—
1028C2×C42—216no—
1029C2×C42—216no—
1030C2×C42—216no—
1031C2×C42—216no—
1032C2×C42—232no—
1033C2×C42—232no—
1034C2×C42—232no—
1035C2×C42—216no—
1036C2×C42—232no—
1037C2×C42—4128no—
1038C2×C42—48no—
1039C2×C42—416no—
1040C2×C42—48no—
1041C2×C42—416no—
1042C2×C42—416no—
1043C2×C42—48no—
1044C2×C42—48no—
1045C2×C42—432no—
1046C2×C42—48no—
1047C2×C42—48no—
1048C2×C42—464no—
1049C2×C42—432no—
1050C2×C42—432no—
1051C2×C42—432no—
1052C2×C42—4128no—
1053C2×C42—432no—
1054C2×C42C23×C4132yescomplemented
1055C2×C42C22×D4164yes—
1056C2×C42C22×D4116yes—
1057C2×C42C22×D4116yes—
1058C2×C42C22×D4116yes—
1059C2×C42C22×D4116yes—
1060#95—216no—
1061#95—216no—
1062#95—216no—
1063#95—216no—
1064#95—216no—
1065#95—232no—
1066#95—232no—
1067#95—232no—
1068#95—232no—
1069#95—216no—
1070#95—232no—
1071#95—232no—
1072#95—216no—
1073#95—232no—
1074#95—216no—
1075#95C23×C4132yescomplemented
1076#95C22×D4164yes—
1077C24—24no—
1078C24—24no—
1079C24—24no—
1080C24—24no—
1081C24—216no—
1082C24—216no—
1083C24—28no—
1084C24—28no—
1085C24—216no—
1086C24—28no—
1087C24—28no—
1088C24—216no—
1089C24—232no—
1090C24—232no—
1091C24—232no—
1092C24—232no—
1093C24—232no—
1094C24—232no—
1095C24—264no—
1096C24—2256no—
1097C24—24no—
1098C24—28no—
1099C24—24no—
1100C24—24no—
1101C24—28no—
1102C24—24no—
1103C24—28no—
1104C24—28no—
1105C24—232no—
1106C24—216no—
1107C24—232no—
1108C24—264no—
1109C24—216no—
1110C24—232no—
1111C24—216no—
1112C24—216no—
1113C24—216no—
1114C24—216no—
1115C24—232no—
1116C24—232no—
1117C24—232no—
1118C24—232no—
1119C24—24no—
1120C24—24no—
1121C24—24no—
1122C24—24no—
1123C24—28no—
1124C24—28no—
1125C24—24no—
1126C24—24no—
1127C24—28no—
1128C24—28no—
1129C24—216no—
1130C24—216no—
1131C24—264no—
1132C24—216no—
1133C24—232no—
1134C24—232no—
1135C24—432no—
1136C24—464no—
1137C24—4512no—
1138C24—464no—
1139C24—464no—
1140C24—464no—
1141C24—4128no—
1142C24—416no—
1143C24—4512no—
1144C24—4128no—
1145C24—4128no—
1146C24—4128no—
1147C24—4128no—
1148C24—432no—
1149C24—416no—
1150C24—4128no—
1151C24—416no—
1152C24—48no—
1153C24—432no—
1154C24—416no—
1155C24—416no—
1156C24—48no—
1157C24—48no—
1158C24—48no—
1159C24—416no—
1160C24—416no—
1161C24—416no—
1162C24—416no—
1163C24—416no—
1164C24—48no—
1165C24—48no—
1166C24—48no—
1167C24—48no—
1168C24—48no—
1169C24—48no—
1170C24—416no—
1171C24—48no—
1172C24—48no—
1173C24—416no—
1174C24—416no—
1175C24—416no—
1176C24—416no—
1177C24—416no—
1178C24—416no—
1179C24—416no—
1180C24—416no—
1181C24—416no—
1182C24C2×C4×D4132yes—
1183C24C2×C4×D4116yes—
1184C24C4×#41132yes—
1185C24C2×#127116yes—
1186C24#532132yes—
1187C24#532116yes—
1188C24C24×C418yes—
1189C24C24×C418yes—
1190C24C24×C414yes—
1191C24C24×C412yes—
1192C24C23×D418yes—
1193C24C23×D414yes—
1194C24C23×D412yes—
1195C24C23×D414yes—
1196C24C22×#4118yes—
1197C24C22×#4118yes—
1198C24C22×#4114yes—
1199C24C22×#4118yes—
1200C24C22×#4112yes—
1201C24C22×#4114yes—
1202C24C22×#4114yes—
1203C24C22×#4114yes—
1204C24C2×H(5,𝔽2)14yes—
1205C24#58514yes—
1206C24C2611yescharacteristic
1207C2×D4—264no—
1208C2×D4—264no—
1209C2×D4—264no—
1210C2×D4—2128no—
1211C2×D4—2128no—
1212C2×D4—232no—
1213C2×D4—464no—
1214C2×D4—432no—
1215C2×D4—464no—
1216C2×D4—4512no—
1217C2×D4—464no—
1218C2×D4—464no—
1219C2×D4—464no—
1220C2×D4—416no—
1221C2×D4—4128no—
1222C2×D4—432no—
1223C2×D4—416no—
1224C2×D4—4256no—
1225C2×D4—432no—
1226C2×D4—432no—
1227C2×D4—432no—
1228C2×D4—432no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—28no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—232no—
1242C22×C4—216no—
1243C22×C4—232no—
1244C22×C4—216no—
1245C22×C4—28no—
1246C22×C4—28no—
1247C22×C4—28no—
1248C22×C4—28no—
1249C22×C4—28no—
1250C22×C4—28no—
1251C22×C4—28no—
1252C22×C4—28no—
1253C22×C4—216no—
1254C22×C4—216no—
1255C22×C4—232no—
1256C22×C4—232no—
1257C22×C4—232no—
1258C22×C4—232no—
1259C22×C4—232no—
1260C22×C4—232no—
1261C22×C4—232no—
1262C22×C4—232no—
1263C22×C4—2128no—
1264C22×C4—2256no—
1265C22×C4—232no—
1266C22×C4—264no—
1267C22×C4—232no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—28no—
1277C22×C4—24no—
1278C22×C4—28no—
1279C22×C4—28no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—28no—
1291C22×C4—24no—
1292C22×C4—28no—
1293C22×C4—28no—
1294C22×C4—28no—
1295C22×C4—232no—
1296C22×C4—216no—
1297C22×C4—216no—
1298C22×C4—232no—
1299C22×C4—216no—
1300C22×C4—216no—
1301C22×C4—264no—
1302C22×C4—28no—
1303C22×C4—216no—
1304C22×C4—216no—
1305C22×C4—232no—
1306C22×C4—232no—
1307C22×C4—28no—
1308C22×C4—28no—
1309C22×C4—232no—
1310C22×C4—232no—
1311C22×C4—232no—
1312C22×C4—232no—
1313C22×C4—232no—
1314C22×C4—264no—
1315C22×C4—2128no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—28no—
1323C22×C4—28no—
1324C22×C4—28no—
1325C22×C4—28no—
1326C22×C4—416no—
1327C22×C4—416no—
1328C22×C4—4128no—
1329C22×C4—432no—
1330C22×C4—416no—
1331C22×C4—432no—
1332C22×C4—464no—
1333C22×C4—4128no—
1334C22×C4—464no—
1335C22×C4—464no—
1336C22×C4—464no—
1337C22×C4—464no—
1338C22×C4—4256no—
1339C22×C4—432no—
1340C22×C4—41024no—
1341C22×C4—4128no—
1342C22×C4—416no—
1343C22×C4—4128no—
1344C22×C4—416no—
1345C22×C4—4128no—
1346C22×C4—416no—
1347C22×C4—48no—
1348C22×C4—416no—
1349C22×C4—48no—
1350C22×C4—48no—
1351C22×C4—416no—
1352C22×C4—48no—
1353C22×C4—432no—
1354C22×C4—416no—
1355C22×C4—416no—
1356C22×C4—48no—
1357C22×C4—48no—
1358C22×C4—48no—
1359C22×C4—48no—
1360C22×C4—416no—
1361C22×C4—48no—
1362C22×C4—48no—
1363C22×C4—416no—
1364C22×C4—416no—
1365C22×C4—416no—
1366C22×C4—416no—
1367C22×C4—416no—
1368C22×C4—416no—
1369C22×C4—432no—
1370C22×C4—432no—
1371C22×C4—432no—
1372C22×C4—464no—
1373C22×C4—4256no—
1374C22×C4—48no—
1375C22×C4—48no—
1376C22×C4—48no—
1377C22×C4—48no—
1378C22×C4—48no—
1379C22×C4—48no—
1380C22×C4—416no—
1381C22×C4—416no—
1382C22×C4—416no—
1383C22×C4—416no—
1384C22×C4—432no—
1385C22×C4—432no—
1386C22×C4—432no—
1387C22×C4—464no—
1388C22×C4—464no—
1389C22×C4—8128no—
1390C22×C4C2×C4×D4116yes—
1391C22×C4C2×C4×D4164yes—
1392C22×C4C2×C4×D4116yes—
1393C22×C4C2×C4×D4164yescomplemented
1394C22×C4#525116yes—
1395C22×C4#525116yes—
1396C22×C4C2×#127116yes—
1397C22×C4C2×#127164yes—
1398C22×C4C2×#127116yes—
1399C22×C4#534116yes—
1400C22×C4#546164yes—
1401C22×C4C24×C418yes—
1402C22×C4C24×C418yes—
1403C22×C4C24×C414yes—
1404C22×C4C24×C4116yes—
1405C22×C4C24×C414yes—
1406C22×C4C23×D4116yes—
1407C22×C4C23×D414yes—
1408C22×C4C23×D414yes—
1409C22×C4C23×D4116yes—
1410C22×C4C23×D414yes—
1411C22×C4C23×D414yes—
1412C22×C4C23×D418yes—
1413C22×C4C23×D414yes—
1414C22×C4C23×D414yes—
1415C22×C4C23×D418yes—
1416C22×C4C22×#4118yes—
1417C22×C4C22×#4118yes—
1418C22×C4C22×#4114yes—
1419C22×C4C22×#41116yes—
1420C22×C4C22×#4114yes—
1421C22×C4C22×#4118yes—
1422C22×C4C22×#4118yes—
1423C22×C4C2×H(5,𝔽2)18yes—
1424C4⋊C4—232no—
1425C4⋊C4—2128no—
1426C4⋊C4—464no—
1427C4⋊C4—464no—
1428C4⋊C4—416no—
1429C4⋊C4—416no—
1430C4⋊C4—432no—
1431C22⋊C4—264no—
1432C22⋊C4—264no—
1433C22⋊C4—264no—
1434C22⋊C4—264no—
1435C22⋊C4—2128no—
1436C22⋊C4—264no—
1437C22⋊C4—2128no—
1438C22⋊C4—264no—
1439C22⋊C4—464no—
1440C22⋊C4—464no—
1441C22⋊C4—464no—
1442C22⋊C4—464no—
1443C22⋊C4—432no—
1444C22⋊C4—432no—
1445C22⋊C4—432no—
1446C22⋊C4—432no—
1447C22⋊C4C2×C4×D41128yescomplemented
1448C42—232no—
1449C42—232no—
1450C42—2128no—
1451C42—416no—
1452C42—416no—
1453C42—432no—
1454C42—464no—
1455C42—432no—
1456C42—432no—
1457C42—432no—
1458C42—432no—
1459C23—232no—
1460C23—2128no—
1461C23—232no—
1462C23—232no—
1463C23—2128no—
1464C23—232no—
1465C23—232no—
1466C23—28no—
1467C23—28no—
1468C23—24no—
1469C23—24no—
1470C23—28no—
1471C23—24no—
1472C23—28no—
1473C23—24no—
1474C23—216no—
1475C23—216no—
1476C23—232no—
1477C23—216no—
1478C23—216no—
1479C23—2128no—
1480C23—2128no—
1481C23—28no—
1482C23—216no—
1483C23—28no—
1484C23—216no—
1485C23—28no—
1486C23—28no—
1487C23—28no—
1488C23—28no—
1489C23—216no—
1490C23—216no—
1491C23—264no—
1492C23—216no—
1493C23—216no—
1494C23—28no—
1495C23—28no—
1496C23—28no—
1497C23—216no—
1498C23—216no—
1499C23—4256no—
1500C23—464no—
1501C23—464no—
1502C23—464no—
1503C23—464no—
1504C23—464no—
1505C23—41024no—
1506C23—4256no—
1507C23—432no—
1508C23—464no—
1509C23—464no—
1510C23—432no—
1511C23—432no—
1512C23—464no—
1513C23—432no—
1514C23—432no—
1515C23—44no—
1516C23—44no—
1517C23—48no—
1518C23—44no—
1519C23—48no—
1520C23—44no—
1521C23—48no—
1522C23—48no—
1523C23—464no—
1524C23—432no—
1525C23—48no—
1526C23—48no—
1527C23—432no—
1528C23—464no—
1529C23—464no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—48no—
1537C23—44no—
1538C23—48no—
1539C23—44no—
1540C23—48no—
1541C23—48no—
1542C23—48no—
1543C23—48no—
1544C23—432no—
1545C23—432no—
1546C23—48no—
1547C23—48no—
1548C23—48no—
1549C23—48no—
1550C23—816no—
1551C23—832no—
1552C23—832no—
1553C23—816no—
1554C23—816no—
1555C23—816no—
1556C23C4×#127164yes—
1557C23C22×C4×D4116yes—
1558C23C22×C4×D418yes—
1559C23C22×C4×D414yes—
1560C23C22×C4×D418yes—
1561C23C2×C4×#41116yes—
1562C23C2×C4×#4118yes—
1563C23C4×H(5,𝔽2)18yes—
1564C23C2×#52514yes—
1565C23C2×#52514yes—
1566C23C22×#12718yes—
1567C23C22×#12714yes—
1568C23C2×#532116yes—
1569C23C2×#53218yes—
1570C23C2×#53218yes—
1571C23C2×#53214yes—
1572C23#344418yes—
1573C23C2×#53414yes—
1574C23#344914yes—
1575C23#345918yes—
1576C23C2×#546116yes—
1577C23D4×#41116yes—
1578C23#3475116yes—
1579C23#3481116yes—
1580C23C25×C411yescharacteristic
1581C23C24×D411yescharacteristic
1582C23C24×D412yes—
1583C23C23×#4111yescharacteristic
1584C23C23×#4112yes—
1585C23C23×#4112yes—
1586C23C23×#4112yes—
1587C23C22×H(5,𝔽2)12yes—
1588C23C2×#58512yes—
1589D4—4256no—
1590D4—464no—
1591D4—4128no—
1592C2×C4—232no—
1593C2×C4—232no—
1594C2×C4—232no—
1595C2×C4—2128no—
1596C2×C4—232no—
1597C2×C4—216no—
1598C2×C4—28no—
1599C2×C4—216no—
1600C2×C4—28no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—28no—
1608C2×C4—28no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—216no—
1612C2×C4—216no—
1613C2×C4—216no—
1614C2×C4—216no—
1615C2×C4—216no—
1616C2×C4—216no—
1617C2×C4—2128no—
1618C2×C4—28no—
1619C2×C4—28no—
1620C2×C4—216no—
1621C2×C4—28no—
1622C2×C4—28no—
1623C2×C4—24no—
1624C2×C4—28no—
1625C2×C4—28no—
1626C2×C4—216no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—216no—
1630C2×C4—216no—
1631C2×C4—216no—
1632C2×C4—216no—
1633C2×C4—464no—
1634C2×C4—464no—
1635C2×C4—4128no—
1636C2×C4—464no—
1637C2×C4—464no—
1638C2×C4—432no—
1639C2×C4—464no—
1640C2×C4—432no—
1641C2×C4—416no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—48no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—48no—
1652C2×C4—44no—
1653C2×C4—48no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—48no—
1657C2×C4—464no—
1658C2×C4—432no—
1659C2×C4—432no—
1660C2×C4—48no—
1661C2×C4—48no—
1662C2×C4—48no—
1663C2×C4—4128no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—48no—
1671C2×C4—48no—
1672C2×C4—48no—
1673C2×C4—48no—
1674C2×C4—816no—
1675C2×C4—816no—
1676C2×C4—864no—
1677C2×C4#2539164yesdirect product factor
1678C2×C4C22×C4×D418yes—
1679C2×C4C22×C4×D4132yes—
1680C2×C4C22×C4×D418yes—
1681C2×C4C2×#52518yes—
1682C2×C4C2×#52518yes—
1683C2×C4C22×#12718yes—
1684C2×C4C22×#12718yes—
1685C2×C4C2×#53418yes—
1686C2×C4C2×#546132yes—
1687C22—28no—
1688C22—28no—
1689C22—28no—
1690C22—28no—
1691C22—28no—
1692C22—2128no—
1693C22—232no—
1694C22—28no—
1695C22—232no—
1696C22—216no—
1697C22—232no—
1698C22—4256no—
1699C22—48no—
1700C22—48no—
1701C22—48no—
1702C22—48no—
1703C22—48no—
1704C22—4128no—
1705C22—416no—
1706C22—48no—
1707C22—416no—
1708C22—416no—
1709C22—48no—
1710C22—48no—
1711C22—48no—
1712C22—416no—
1713C22—416no—
1714C22—84no—
1715C22—84no—
1716C22—84no—
1717C22—864no—
1718C22—84no—
1719C22—88no—
1720C22—88no—
1721C22C4×#52518yes—
1722C22C2×C4×#127116yes—
1723C22C2×C4×#12718yes—
1724C22C4×#53418yes—
1725C22C4×#546132yes—
1726C22C2×#253918yes—
1727C22#34829132yes—
1728C22#3487718yes—
1729C22#3493618yes—
1730C22#3495718yes—
1731C22C23×C4×D411yescharacteristic
1732C22C23×C4×D412yes—
1733C22C22×C4×#4112yes—
1734C22C2×C4×H(5,𝔽2)12yes—
1735C22C22×#52511yescharacteristic
1736C22C22×#52511yescharacteristic
1737C22C23×#12711yescharacteristic
1738C22C22×#53211yescharacteristic
1739C22C22×#53212yes—
1740C22C2×#344412yes—
1741C22C22×#53411yescharacteristic
1742C22C2×#345912yes—
1743C22C2×#344911yescharacteristic
1744C22C22×#54614yes—
1745C22C2×D4×#4114yes—
1746C22C2×#347514yes—
1747C22C2×#348114yes—
1748C4—28no—
1749C4—28no—
1750C4—28no—
1751C4—232no—
1752C4—28no—
1753C4—48no—
1754C4—48no—
1755C4—48no—
1756C4—44no—
1757C4—48no—
1758C4—416no—
1759C4—84no—
1760C4—84no—
1761C4C2×#2539116yesdirect product factor
1762C2—216no—
1763C2—416no—
1764C2—88no—
1765C2C4×#2539116yesdirect product factor
1766C2C2×C4×#52511yescharacteristic
1767C2C22×C4×#12711yescharacteristic
1768C2C2×C4×#53411yescharacteristic
1769C2C2×C4×#54614yes—
1770C2C22×#253911yescharacteristic
1771C2C2×#3482914yes—
1772C2C2×#3487711yescharacteristic
1773C2C2×#3493611yescharacteristic
1774C2C2×#3495711yescharacteristic
subgroupG/H
center, socleC24×C4C24
commutatorC23C25×C4
Frattini, cosocleC24C26
prime radicalC22×#2539C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C4 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×C4×#123C2semidirect
3. C22×C4×#121C2semidirect
4. C22×C4×#120C2semidirect
5. C23×C4×C22⋊C4C2semidirect
6. C4×#2539C2direct (N × H)
7. C2×#14230C2semidirect
8. C2×#14228C2semidirect
9. C2×#14152C2semidirect
10. C2×#14084C2semidirect
11. C2×#13996C2semidirect
12. C2×#13995C2semidirect
13. C2×#13965C2semidirect
14. C2×#13903C2semidirect
15. C2×C4×#399C2semidirect
16. C2×C4×#392C2semidirect
17. C2×C4×#390C2semidirect
18. C2×C42×C22⋊C4C2semidirect
25. C23×C4×D4C22semidirect
30. C2×#2539C4direct (N × H)
35. C2×C4×#123C22semidirect
37. C2×C4×#121C22semidirect
39. C2×C4×#120C22semidirect
42. C22×#390C22semidirect
43. C22×#389C22semidirect
44. C22×#388C22semidirect
45. C22×#388C22semidirect
46. C22×#387C22semidirect
57. C22×C4×C4⋊C4C22semidirect
58. C22×C4×C4⋊C4C22semidirect
69. C22×C4×C22⋊C4C22semidirect
70. C22×C4×C22⋊C4C22semidirect
71. C22×C4×C22⋊C4C22semidirect
74. C22×C43C22semidirect
75. #14230C22semidirect
76. #14228C22semidirect
77. #14152C22semidirect
78. #14084C22semidirect
79. #13996C22semidirect
80. #13995C22semidirect
81. #13965C22semidirect
82. #13903C22semidirect
83. C4×#399C22semidirect
84. C4×#392C22semidirect
85. C2×#1445C22semidirect
86. C2×#1445C22semidirect
87. C2×#1444C22semidirect
88. C2×#1444C22semidirect
92. C2×#1439C22semidirect
94. C2×#1438C22semidirect
95. C4×#390C22semidirect
98. C2×#1437C22semidirect
99. C2×#1437C22semidirect
100. C2×C4⋊#95C22semidirect
101. C2×C4⋊#95C22semidirect
102. C42×C22⋊C4C22semidirect
103. C2×C4×#95C22semidirect
104. C2×C4×#95C22semidirect
105. C2×C4×#95C22semidirect
126. C22×#123C2×C4semidirect
130. C22×#121C2×C4semidirect
134. C22×#120C2×C4semidirect
146. C22×C4×D4C23semidirect
158. C23×C22⋊C4C2×C4semidirect
181. C23×C42D4semidirect
195. #2539C2×C4direct (N × H)
196. C2×#399C2×C4semidirect
198. C2×#392C2×C4semidirect
205. C2×#390C2×C4semidirect
208. C2×#390C23semidirect
210. C2×#389C23semidirect
213. C2×#388C23semidirect
214. C2×#388C23semidirect
216. C2×#387C23semidirect
239. C2×C4×C4⋊C4C23semidirect
240. C2×C4×C4⋊C4C23semidirect
251. C2×C4×C22⋊C4C2×C4semidirect
252. C2×C4×C22⋊C4D4semidirect
262. C2×C4×C22⋊C4C23semidirect
263. C2×C4×C22⋊C4C23semidirect
286. C2×C43C23semidirect
287. #1445C23semidirect
288. #1445C23semidirect
289. #1444C23semidirect
290. #1444C23semidirect
294. #1439C23semidirect
296. #1438C23semidirect
299. #1437C23semidirect
300. #1437C23semidirect
301. C4⋊#95C23semidirect
302. C4⋊#95C23semidirect
303. C4×#95C23semidirect
304. C4×#95C23semidirect
305. C4×#95C23semidirect
337. C23×D4C22×C4semidirect
416. C2×#123C22×C4semidirect
420. C2×#121C22×C4semidirect
424. C2×#120C22×C4semidirect
453. C22×C4⋊C4C22×C4semidirect
454. C22×C4⋊C4C22×C4semidirect
511. C22×C22⋊C4C22×C4semidirect
512. C22×C22⋊C4C22×C4semidirect
513. C22×C22⋊C4C22×C4semidirect
561. C22×C42C22×C4semidirect
567. C22×C42C2×D4semidirect
579. #399C22×C4semidirect
580. #392C22×C4semidirect
583. #390C22×C4semidirect
609. C4×C22⋊C4C22×C4semidirect
610. C4×C22⋊C4C2×D4semidirect
628. C2×#95C22×C4semidirect
746. C22×D4C23×C4semidirect
873. C23×C4C4×D4semidirect
950. C2×C4⋊C4C23×C4semidirect
951. C2×C4⋊C4C23×C4semidirect
1009. C2×C22⋊C4C4×D4semidirect
1014. C2×C22⋊C4C23×C4semidirect
1015. C2×C22⋊C4C23×C4semidirect
1054. C2×C42C23×C4semidirect
1075. #95C23×C4semidirect
1393. C22×C4C2×C4×D4semidirect
1447. C22⋊C4C2×C4×D4semidirect
1677. C2×C4#2539direct (N × H)
1761. C4C2×#2539direct (N × H)
1765. C2C4×#2539direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#25392
C22×C4×#1232
C22×C4×#1212
C22×C4×#1202
C23×C4×C22⋊C42
C4×#25392
C2×#142302
C2×#142282
C2×#141522
C2×#140842
C2×#139962
C2×#139952
C2×#139652
C2×#139032
C2×C4×#3992
C2×C4×#3922
C2×C4×#3902
C2×C42×C22⋊C42