Finite Group Databasebeta

← C2×#7644775 #72330609

Subgroups — C2×#7644775 #72330609

Order 1024.

111649 conjugacy classes of subgroups.

The subgroup lattice has 2298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#546C211yesmaximal, characteristic, complemented
2C23×#534C211yesmaximal, characteristic, complemented
3#7644775C2164yesmaximal, direct product factor
4C2×#40485C2116yesmaximal, complemented
5C2×#38023C218yesmaximal, complemented
6C2×#37645C218yesmaximal, complemented
7C2×#36967C212yesmaximal, complemented
8C2×#36721C212yesmaximal, complemented
9C2×#36717C212yesmaximal, complemented
10C2×#36717C212yesmaximal, complemented
11C2×#37440C212yesmaximal, complemented
12C2×#37450C212yesmaximal, complemented
13C2×#35390C212yesmaximal, complemented
14C2×#35377C212yesmaximal, complemented
15C2×#35250C212yesmaximal, complemented
16C2×#35076C212yesmaximal, complemented
17C2×#34984C212yesmaximal, complemented
18C2×#34981C212yesmaximal, complemented
19C2×#34980C212yesmaximal, complemented
20C22×#2403C212yesmaximal, complemented
21C2×#34176C211yesmaximal, characteristic, complemented
22C24×#41C2211yescharacteristic, complemented
23C25×D4C2211yescharacteristic
24C25×D4C2212yes—
25C22×#546—232no—
26C22×#546C2218yescomplemented
27C22×#546C22132yescomplemented
28C22×#546C2218yescomplemented
29C22×#535C2214yescomplemented
30C22×#534—232no—
31C22×#534C2212yes—
32C22×#534C2212yes—
33C22×#534C2218yescomplemented
34C22×#534C2212yescomplemented
35C22×#534C2212yescomplemented
36C22×#534C2214yescomplemented
37C22×#534C22132yescomplemented
38C23×#124C2211yescharacteristic, complemented
39C23×#123C2214yescomplemented
40C23×#123C2211yescharacteristic, complemented
41C23×#123C2211yescharacteristic, complemented
42C23×C22⋊Q8C2211yescharacteristic, complemented
43C23×#121C2211yescharacteristic, complemented
44C23×#121C2212yescomplemented
45C23×#121C2212yescomplemented
46C23×#121C2211yescharacteristic, complemented
47C23×#121C2211yescharacteristic, complemented
48C23×#120C2211yescharacteristic
49C23×#120C2214yescomplemented
50C23×#120C2211yescharacteristic, complemented
51C23×#120C2214yescomplemented
52C23×#120C2214yescomplemented
53C23×C4×D4C2211yescharacteristic, complemented
54C23×C4×D4C2211yescharacteristic, complemented
55C24×C22⋊C4C2211yescharacteristic
56C24×C22⋊C4C2211yescharacteristic, complemented
57C2×#2710C22116yescomplemented
58C2×#2706C22116yescomplemented
59C2×#2703C22116yescomplemented
60C2×#2703C22116yescomplemented
61C2×#2678C22116yescomplemented
62C2×#2670C22116yescomplemented
63C2×#2669C22116yescomplemented
64C2×#2669C22116yescomplemented
65#40485C221512yescomplemented
66#38023C221256yescomplemented
67#37645C221256yescomplemented
68#37450C22164yescomplemented
69#37440C22164yescomplemented
70#36967C22164yescomplemented
71#36721C22164yescomplemented
72#36717C22164yescomplemented
73#36717C22164yescomplemented
74C2×#2813C2218yescomplemented
75C2×#2815C2218yescomplemented
76C2×#2854C2214yescomplemented
77C2×#2849C2214yescomplemented
78C2×#2847C2214yescomplemented
79C2×#2847C2214yescomplemented
80C2×#2847C2214yescomplemented
81C2×#2846C2214yescomplemented
82#35390C22164yescomplemented
83#35377C22164yescomplemented
84#35250C22164yescomplemented
85#35076C22164yescomplemented
86#34984C22164yescomplemented
87#34981C22164yescomplemented
88#34980C22164yescomplemented
89C2×#2591C2214yescomplemented
90C2×#2591C2214yescomplemented
91C2×#2539C22116yescomplemented
92C2×#2539C2214yescomplemented
93C2×#2539C2214yescomplemented
94C2×#2504C2214yescomplemented
95C2×#2504C2214yescomplemented
96C2×#2487C2214yescomplemented
97C2×#2488C22116yescomplemented
98C2×#2411C2218yescomplemented
99C2×#2404C2218yescomplemented
100C2×#2431C2218yescomplemented
101C2×#2414C2218yescomplemented
102C2×#2436C2214yescomplemented
103C2×#2433C2214yescomplemented
104C2×#2433C22116yescomplemented
105C2×#2433C2214yescomplemented
106C2×#2433C2214yescomplemented
107C2×#2408C2214yescomplemented
108C2×#2425C22116yescomplemented
109C2×#2472C22116yescomplemented
110C2×#2412C22116yescomplemented
111C2×#2405C2214yescomplemented
112C2×#2405C2214yescomplemented
113C2×#2424C22116yescomplemented
114C2×#2410C2218yescomplemented
115C2×#2410C2218yescomplemented
116C2×#2410C22116yescomplemented
117C2×#2403C2218yescomplemented
118C2×#2403C2214yescomplemented
119C2×#2403C2214yescomplemented
120C2×#2403C2214yescomplemented
121C2×#2403C2214yescomplemented
122C2×#2403C2218yescomplemented
123C2×#2403C22164yescomplemented
124C2×#2403C2214yescomplemented
125C2×#2403C2214yescomplemented
126C2×#2619C2218yescomplemented
127C2×#2615C2218yescomplemented
128C2×#2623C2214yescomplemented
129C2×#2661C2218yescomplemented
130C2×#2635C2218yescomplemented
131C2×#2618C2214yescomplemented
132C2×#2617C2218yescomplemented
133C2×#2617C2214yescomplemented
134C2×#2617C2214yescomplemented
135C2×#2617C2214yescomplemented
136C2×#2613C2218yescomplemented
137C2×#2613C2214yescomplemented
138C22×#392C2218yescomplemented
139#34176C22132yescomplemented
140C2×#2342C2218yescomplemented
141C2×#2342C2218yescomplemented
142C2×#2321C2218yescomplemented
143C2×#2315C2212yescomplemented
144C2×#2312C2212yescomplemented
145C2×#2312C2212yescomplemented
146C2×#2311C2214yescomplemented
147C2×#2308C2214yescomplemented
148C22×#386C2214yescomplemented
149C22×#386C2214yescomplemented
150C2×#2280C2212yescomplemented
151C2×#2280C2212yescomplemented
152C22×#379C2212yes—
153C2×#2273C2212yescomplemented
154C27C2311yescharacteristic
155C27C2311yescharacteristic
156C27C2312yes—
157C23×#41—216no—
158C23×#41—416no—
159C23×#41C2314yes—
160C23×#41C2314yescomplemented
161C23×#41C23116yescomplemented
162C24×Q8C2311yescharacteristic, complemented
163C24×D4—232no—
164C24×D4—216no—
165C24×D4—416no—
166C24×D4—432no—
167C24×D4C2311yescharacteristic
168C24×D4C2314yes—
169C24×D4C2311yescharacteristic
170C24×D4C2314yes—
171C24×D4C2311yescharacteristic
172C24×D4C2311yescharacteristic
173C24×D4C2311yescharacteristic
174C24×D4C23116yes—
175C24×D4C2311yescharacteristic
176C24×D4C2314yes—
177C24×D4C2314yes—
178C24×D4C2314yes—
179C24×D4C2314yes—
180C24×D4C23132yes—
181C24×D4C2314yes—
182C24×D4C2314yes—
183C24×D4C2311yescharacteristic
184C24×D4C2311yescharacteristic, complemented
185C24×D4C2312yescomplemented
186C24×D4C2312yescomplemented
187C24×D4C2311yescharacteristic, complemented
188C24×D4C2318yescomplemented
189C25×C4C2312yes—
190C25×C4C2311yescharacteristic
191C25×C4C2311yescharacteristic
192C25×C4C2311yescharacteristic
193C25×C4C2311yescharacteristic, complemented
194C25×C4C2311yescharacteristic, complemented
195C25×C4C2311yescharacteristic, complemented
196C2×#546—2128no—
197C2×#546—2128no—
198C2×#546—2512no—
199C2×#546C231128yescomplemented
200C2×#546C231128yescomplemented
201C2×#535—432no—
202C2×#535C23164yescomplemented
203C2×#534—232no—
204C2×#534—232no—
205C2×#534—232no—
206C2×#534—232no—
207C2×#534—2128no—
208C2×#534—2512no—
209C2×#534—432no—
210C2×#534C23132yes—
211C2×#534C23132yes—
212C2×#534C231128yescomplemented
213C2×#534C23132yescomplemented
214C2×#534C23132yescomplemented
215C2×#534C23164yescomplemented
216C22×#127C2318yescomplemented
217C22×#127C2318yescomplemented
218C22×#124—216no—
219C22×#124C2318yescomplemented
220C22×#124C2318yescomplemented
221C22×#124C23116yescomplemented
222C22×#123—216no—
223C22×#123—264no—
224C22×#123—216no—
225C22×#123C2318yes—
226C22×#123C2314yes—
227C22×#123C2318yes—
228C22×#123C2314yescomplemented
229C22×#123C2318yescomplemented
230C22×#123C2318yescomplemented
231C22×#123C2318yescomplemented
232C22×#123C2318yescomplemented
233C22×#123C2318yescomplemented
234C22×#123C23116yescomplemented
235C22×#123C23116yescomplemented
236C22×#123C23164yescomplemented
237C22×C22⋊Q8—216no—
238C22×C22⋊Q8C2318yescomplemented
239C22×C22⋊Q8C23116yescomplemented
240C22×#121—232no—
241C22×#121—232no—
242C22×#121—216no—
243C22×#121—216no—
244C22×#121—216no—
245C22×#121C2314yes—
246C22×#121C2314yes—
247C22×#121C2314yes—
248C22×#121C2314yes—
249C22×#121C2314yes—
250C22×#121C23116yes—
251C22×#121C2314yescomplemented
252C22×#121C2314yescomplemented
253C22×#121C2314yescomplemented
254C22×#121C2314yescomplemented
255C22×#121C2314yescomplemented
256C22×#121C2318yescomplemented
257C22×#121C2318yescomplemented
258C22×#121C2318yescomplemented
259C22×#121C2318yescomplemented
260C22×#121C2318yescomplemented
261C22×#121C23116yescomplemented
262C22×#121C23116yescomplemented
263C22×#121C23132yescomplemented
264C22×#121C23132yescomplemented
265C22×#121C23116yescomplemented
266C22×#120—216no—
267C22×#120—216no—
268C22×#120—264no—
269C22×#120—432no—
270C22×#120—432no—
271C22×#120C2314yes—
272C22×#120C2318yes—
273C22×#120C2318yes—
274C22×#120C2314yes—
275C22×#120C2318yes—
276C22×#120C23116yes—
277C22×#120C23116yes—
278C22×#120C2318yes—
279C22×#120C2318yescomplemented
280C22×#120C2318yescomplemented
281C22×#120C2318yescomplemented
282C22×#120C2318yescomplemented
283C22×#120C2318yescomplemented
284C22×#120C2318yescomplemented
285C22×#120C2318yescomplemented
286C22×#120C2318yescomplemented
287C22×#120C2318yescomplemented
288C22×#120C2318yescomplemented
289C22×#120C2318yescomplemented
290C22×#120C23164yescomplemented
291C22×#120C23116yescomplemented
292C22×#120C23164yescomplemented
293C22×#120C23164yescomplemented
294C22×C4×D4—216no—
295C22×C4×D4—216no—
296C22×C4×D4C2314yes—
297C22×C4×D4C2314yescomplemented
298C22×C4×D4C2318yescomplemented
299C22×C4×D4C23116yescomplemented
300C22×C4×D4C23116yescomplemented
301C22×#117C2314yescomplemented
302C22×#117C2314yescomplemented
303C23×C4⋊C4C2312yescomplemented
304C23×C4⋊C4C2311yescharacteristic, complemented
305C23×C4⋊C4C2311yescharacteristic, complemented
306C23×C4⋊C4C2311yescharacteristic, complemented
307C23×C4⋊C4C2311yescharacteristic, complemented
308C23×C4⋊C4C2312yescomplemented
309C23×C22⋊C4—216no—
310C23×C22⋊C4D4132yescomplemented
311C23×C22⋊C4C2314yes—
312C23×C22⋊C4C2311yescharacteristic
313C23×C22⋊C4C2311yescharacteristic
314C23×C22⋊C4C2311yescharacteristic
315C23×C22⋊C4C2314yes—
316C23×C22⋊C4C2314yes—
317C23×C22⋊C4C2311yescharacteristic
318C23×C22⋊C4C2311yescharacteristic
319C23×C22⋊C4C2314yes—
320C23×C22⋊C4C2314yes—
321C23×C22⋊C4C23116yes—
322C23×C22⋊C4C2311yescharacteristic
323C23×C22⋊C4C2311yescharacteristic
324C23×C22⋊C4C2311yescharacteristic, complemented
325C23×C22⋊C4C2311yescharacteristic, complemented
326C23×C22⋊C4C2314yescomplemented
327C23×C22⋊C4C2318yescomplemented
328C23×C22⋊C4C2314yescomplemented
329C23×C22⋊C4C2311yescharacteristic, complemented
330C23×C22⋊C4C2311yescharacteristic, complemented
331C23×C22⋊C4C2311yescharacteristic, complemented
332C23×C22⋊C4C23116yescomplemented
333C23×C22⋊C4C2318yescomplemented
334C23×C22⋊C4C2318yescomplemented
335C23×C42C2311yescharacteristic, complemented
336#2854C23164yescomplemented
337#2849C23164yescomplemented
338#2847C23164yescomplemented
339#2847C23164yescomplemented
340#2847C23164yescomplemented
341#2846C23164yescomplemented
342#2815C231128yescomplemented
343#2813C231128yescomplemented
344#2710C231256yescomplemented
345#2706C231256yescomplemented
346#2703C231256yescomplemented
347#2703C231256yescomplemented
348#2678C231256yescomplemented
349#2670C231256yescomplemented
350#2669C231256yescomplemented
351#2669C231256yescomplemented
352#2661C231128yescomplemented
353#2635C231128yescomplemented
354#2623C23164yescomplemented
355#2619C231128yescomplemented
356#2618C23164yescomplemented
357#2617C231128yescomplemented
358#2617C23164yescomplemented
359#2617C23164yescomplemented
360#2617C23164yescomplemented
361#2615C231128yescomplemented
362#2613C23164yescomplemented
363#2613C231128yescomplemented
364#2591C23164yescomplemented
365#2591C23164yescomplemented
366#2539C231256yescomplemented
367#2539C23164yescomplemented
368#2539C23164yescomplemented
369#2504C23164yescomplemented
370#2504C23164yescomplemented
371#2488C231256yescomplemented
372#2487C23164yescomplemented
373#2472C231256yescomplemented
374#2436C23164yescomplemented
375#2433C23164yescomplemented
376#2433C231256yescomplemented
377#2433C23164yescomplemented
378#2433C23164yescomplemented
379#2431C231128yescomplemented
380#2425C231256yescomplemented
381#2424C231256yescomplemented
382#2414C231128yescomplemented
383#2412C231256yescomplemented
384#2411C231128yescomplemented
385#2410C231128yescomplemented
386#2410C231128yescomplemented
387#2410C231256yescomplemented
388#2408C23164yescomplemented
389#2405C23164yescomplemented
390#2405C23164yescomplemented
391#2404C231128yescomplemented
392#2403C231128yescomplemented
393#2403C23164yescomplemented
394#2403C231128yescomplemented
395#2403C23164yescomplemented
396#2403C23164yescomplemented
397#2403C23164yescomplemented
398#2403C23164yescomplemented
399#2403C23164yescomplemented
400C2×#400C2318yescomplemented
401C2×#400C2318yescomplemented
402C2×#399C2318yescomplemented
403C2×#399C2318yescomplemented
404C2×#398C2318yescomplemented
405C2×#397C2318yescomplemented
406C2×#397C2318yescomplemented
407C2×#397C23116yescomplemented
408C2×#397C2318yescomplemented
409C2×#396C23116yescomplemented
410C2×#394C23116yescomplemented
411C2×#394C2318yescomplemented
412C2×#394C2318yescomplemented
413C2×#394C2318yescomplemented
414C2×#394C23116yescomplemented
415C2×#394C23116yescomplemented
416C2×#394C23116yescomplemented
417C2×#394C23116yescomplemented
418C2×#393C23116yescomplemented
419C2×#392C23116yes—
420C2×#392C23116yes—
421C2×#392C2318yescomplemented
422C2×#392C23116yescomplemented
423C2×#392C23116yescomplemented
424C2×#392C2318yescomplemented
425C2×#392C23116yescomplemented
426C2×#392C23116yescomplemented
427C2×#392C2318yescomplemented
428C2×#392C23116yescomplemented
429C2×#392C2318yescomplemented
430C2×#392C2318yescomplemented
431C2×#392C23116yescomplemented
432C2×#392C231128yescomplemented
433#2342C231128yescomplemented
434#2342C231128yescomplemented
435#2321C231128yescomplemented
436#2315C23132yescomplemented
437#2312C23132yescomplemented
438#2312C23132yescomplemented
439#2311C23164yescomplemented
440#2308C23164yescomplemented
441C2×#391C2318yescomplemented
442C2×#390C23116yescomplemented
443C2×#390C23116yescomplemented
444C2×#390C2318yescomplemented
445C2×#390C2318yescomplemented
446C2×#390C2318yescomplemented
447C2×#390C2318yescomplemented
448C2×#389C2318yescomplemented
449C2×#388C23116yescomplemented
450C2×#388C23116yescomplemented
451C2×#388C23116yescomplemented
452C2×#388C23116yescomplemented
453C2×#388C23116yescomplemented
454C2×#386C2318yes—
455C2×#386C2318yes—
456C2×#386C23116yes—
457C2×#386C23116yes—
458C2×#386C23116yescomplemented
459C2×#386C2318yescomplemented
460C2×#386C2318yescomplemented
461C2×#386C2318yescomplemented
462C2×#386C23116yescomplemented
463C2×#386C23116yescomplemented
464C2×#386C2318yescomplemented
465C2×#386C2318yescomplemented
466C2×#386C2318yescomplemented
467C2×#386C2318yescomplemented
468C2×#386C2318yescomplemented
469C2×#386C23164yescomplemented
470C2×#386C23164yescomplemented
471C2×#385C23116yescomplemented
472C2×#385C2318yescomplemented
473C2×#385C2318yescomplemented
474C2×#382C2318yescomplemented
475#2280C23132yescomplemented
476#2280C23132yescomplemented
477C2×#381C2314yescomplemented
478C2×#381C2318yescomplemented
479C2×#381C2314yescomplemented
480C2×#380C2314yescomplemented
481C2×#380C2314yescomplemented
482C2×#380C2318yescomplemented
483C2×#380C2318yescomplemented
484C2×#380C2318yescomplemented
485C2×#380C2314yescomplemented
486C2×#380C2314yescomplemented
487C2×#379C2314yes—
488C2×#379C2314yes—
489C2×#379C2314yes—
490C2×#379C2314yes—
491C2×#379C23132yes—
492C2×#379C2318yescomplemented
493C2×#379C2318yescomplemented
494C2×#379C2318yescomplemented
495#2273C23132yescomplemented
496C2×C4×C22⋊C4C2314yescomplemented
497C2×C4×C22⋊C4C2314yescomplemented
498C2×C4×C22⋊C4C23116yescomplemented
499C2×C4×C22⋊C4C2314yescomplemented
500C2×C4×C22⋊C4C2314yescomplemented
501C22×#95C2318yescomplemented
502C26—216no—
503C26—28no—
504C26—216no—
505C26—216no—
506C26—48no—
507C26—48no—
508C26—416no—
509C26—416no—
510C26—84no—
511C26—84no—
512C26—88no—
513C26C2×D4116yes—
514C26C2411yescharacteristic
515C26C2414yes—
516C26C2411yescharacteristic
517C26C2412yes—
518C26C2411yescharacteristic
519C26C2414yes—
520C26C2414yes—
521C26C2411yescharacteristic
522C26C2418yes—
523C26C2411yescharacteristic
524C26C2412yes—
525C26C2418yes—
526C26C2414yes—
527C26C24116yes—
528C26C2411yescharacteristic
529C22×#41—232no—
530C22×#41—232no—
531C22×#41—232no—
532C22×#41—2128no—
533C22×#41—416no—
534C22×#41—416no—
535C22×#41—416no—
536C22×#41—4128no—
537C22×#41—4256no—
538C22×#41C24132yes—
539C22×#41C24132yescomplemented
540C23×Q8—28no—
541C23×Q8—48no—
542C23×Q8C2414yes—
543C23×Q8C2418yescomplemented
544C23×D4—28no—
545C23×D4—216no—
546C23×D4—232no—
547C23×D4—232no—
548C23×D4—28no—
549C23×D4—28no—
550C23×D4—28no—
551C23×D4—232no—
552C23×D4—232no—
553C23×D4—232no—
554C23×D4—2256no—
555C23×D4—232no—
556C23×D4—232no—
557C23×D4—232no—
558C23×D4—2128no—
559C23×D4—28no—
560C23×D4—28no—
561C23×D4—232no—
562C23×D4—232no—
563C23×D4—216no—
564C23×D4—28no—
565C23×D4—232no—
566C23×D4—28no—
567C23×D4—216no—
568C23×D4—216no—
569C23×D4—28no—
570C23×D4—48no—
571C23×D4—416no—
572C23×D4—416no—
573C23×D4—416no—
574C23×D4—432no—
575C23×D4—416no—
576C23×D4—4128no—
577C23×D4—416no—
578C23×D4—416no—
579C23×D4—48no—
580C23×D4—48no—
581C23×D4—432no—
582C23×D4—432no—
583C23×D4—432no—
584C23×D4—432no—
585C23×D4—4256no—
586C23×D4—48no—
587C23×D4—48no—
588C23×D4—432no—
589C23×D4—4256no—
590C23×D4—4512no—
591C23×D4—84no—
592C23×D4—88no—
593C23×D4—84no—
594C23×D4—816no—
595C23×D4C24132yes—
596C23×D4C2412yes—
597C23×D4C2418yes—
598C23×D4C2418yes—
599C23×D4C2412yes—
600C23×D4C2418yes—
601C23×D4C2412yes—
602C23×D4C2414yes—
603C23×D4C2418yes—
604C23×D4C2414yes—
605C23×D4C2414yes—
606C23×D4C24132yes—
607C23×D4C2414yes—
608C23×D4C2412yes—
609C23×D4C24132yes—
610C23×D4C2418yes—
611C23×D4C2412yes—
612C23×D4C2418yes—
613C23×D4C24132yes—
614C23×D4C2418yes—
615C23×D4C2418yes—
616C23×D4C2418yes—
617C23×D4C24132yes—
618C23×D4C24132yes—
619C23×D4C24132yes—
620C23×D4C24132yes—
621C23×D4C2412yes—
622C23×D4C2418yes—
623C23×D4C2414yes—
624C23×D4C24116yes—
625C23×D4C2414yes—
626C23×D4C2414yes—
627C23×D4C2414yes—
628C23×D4C2414yes—
629C23×D4C2414yes—
630C23×D4C2418yes—
631C23×D4C24116yes—
632C23×D4C24116yes—
633C23×D4C2418yescomplemented
634C23×D4C24116yescomplemented
635C23×D4C24116yescomplemented
636C23×D4C2418yescomplemented
637C23×D4C24164yescomplemented
638C24×C4—28no—
639C24×C4—216no—
640C24×C4—28no—
641C24×C4—28no—
642C24×C4—28no—
643C24×C4—48no—
644C24×C4—48no—
645C24×C4—416no—
646C24×C4—48no—
647C24×C4—48no—
648C24×C4—84no—
649C24×C4—84no—
650C24×C4C2×D4116yescomplemented
651C24×C4C2×D4116yescomplemented
652C24×C4C2411yescharacteristic
653C24×C4C2414yes—
654C24×C4C2411yescharacteristic
655C24×C4C2414yes—
656C24×C4C2414yes—
657C24×C4C2414yes—
658C24×C4C2412yes—
659C24×C4C24116yes—
660C24×C4C2414yes—
661C24×C4C2411yescharacteristic
662C24×C4C2418yes—
663C24×C4C2414yes—
664C24×C4C2411yescharacteristic
665C24×C4C2411yescharacteristic
666C24×C4C2414yes—
667C24×C4C2418yes—
668C24×C4C2411yescharacteristic
669C24×C4C2411yescharacteristic
670C24×C4C2411yescharacteristic
671C24×C4C2412yes—
672C24×C4C2411yescharacteristic
673C24×C4C2412yes—
674C24×C4C2412yes—
675C24×C4C2418yes—
676C24×C4C2418yes—
677C24×C4C2418yescomplemented
678C24×C4C2418yescomplemented
679C24×C4C2418yescomplemented
680#546—21024no—
681#546—21024no—
682#535—4256no—
683#534—2256no—
684#534—2256no—
685#534—2256no—
686#534—2256no—
687#534—21024no—
688#534—4256no—
689C2×#127—432no—
690C2×#127—816no—
691C2×#127C24164yescomplemented
692C2×#127C24164yescomplemented
693C2×#124—264no—
694C2×#124—2128no—
695C2×#124—432no—
696C2×#124C24164yescomplemented
697C2×#124C24164yescomplemented
698C2×#123—232no—
699C2×#123—232no—
700C2×#123—2128no—
701C2×#123—264no—
702C2×#123—264no—
703C2×#123—264no—
704C2×#123—264no—
705C2×#123—264no—
706C2×#123—2512no—
707C2×#123—2128no—
708C2×#123—432no—
709C2×#123—432no—
710C2×#123C24132yes—
711C2×#123C24164yes—
712C2×#123C24164yes—
713C2×#123C24132yescomplemented
714C2×#123C24164yescomplemented
715C2×#123C24164yescomplemented
716C2×#123C24164yescomplemented
717C2×#123C24164yescomplemented
718C2×#123C24164yescomplemented
719C2×C22⋊Q8—264no—
720C2×C22⋊Q8—2128no—
721C2×C22⋊Q8C24164yescomplemented
722C2×#121—232no—
723C2×#121—232no—
724C2×#121—232no—
725C2×#121—232no—
726C2×#121—232no—
727C2×#121—232no—
728C2×#121—232no—
729C2×#121—232no—
730C2×#121—232no—
731C2×#121—232no—
732C2×#121—2256no—
733C2×#121—2256no—
734C2×#121—2128no—
735C2×#121—264no—
736C2×#121—264no—
737C2×#121—2128no—
738C2×#121—2128no—
739C2×#121—432no—
740C2×#121—464no—
741C2×#121—432no—
742C2×#121—816no—
743C2×#121C24132yes—
744C2×#121C24132yes—
745C2×#121C24132yes—
746C2×#121C24132yes—
747C2×#121C24132yes—
748C2×#121C241128yes—
749C2×#121C24132yescomplemented
750C2×#121C24132yescomplemented
751C2×#121C24132yescomplemented
752C2×#121C24164yescomplemented
753C2×#121C24164yescomplemented
754C2×#121C24132yescomplemented
755C2×#121C24132yescomplemented
756C2×#121C24164yescomplemented
757C2×#121C24164yescomplemented
758C2×#121C24164yescomplemented
759C2×#120—232no—
760C2×#120—232no—
761C2×#120—2128no—
762C2×#120—264no—
763C2×#120—264no—
764C2×#120—264no—
765C2×#120—264no—
766C2×#120—264no—
767C2×#120—264no—
768C2×#120—2128no—
769C2×#120—2512no—
770C2×#120—432no—
771C2×#120—464no—
772C2×#120—432no—
773C2×#120—432no—
774C2×#120—432no—
775C2×#120—4256no—
776C2×#120—432no—
777C2×#120—432no—
778C2×#120—432no—
779C2×#120—4256no—
780C2×#120—432no—
781C2×#120—816no—
782C2×#120C24164yes—
783C2×#120C24132yes—
784C2×#120C24132yes—
785C2×#120C24164yes—
786C2×#120C24164yes—
787C2×#120C24164yes—
788C2×#120C241128yes—
789C2×#120C24164yescomplemented
790C2×#120C24164yescomplemented
791C2×#120C24164yescomplemented
792C2×#120C24164yescomplemented
793C2×#120C24164yescomplemented
794C2×#120C24164yescomplemented
795C2×#120C24164yescomplemented
796C2×#120C24164yescomplemented
797C2×#120C24164yescomplemented
798C2×#120C24164yescomplemented
799C2×#120C24164yescomplemented
800C2×C4×D4—232no—
801C2×C4×D4—232no—
802C2×C4×D4—2128no—
803C2×C4×D4—264no—
804C2×C4×D4—2128no—
805C2×C4×D4C24132yes—
806C2×C4×D4C24132yescomplemented
807C2×C4×D4C24164yescomplemented
808C2×#117—416no—
809C2×#117—88no—
810C2×#117C24132yescomplemented
811C2×#117C24132yescomplemented
812C22×C4⋊C4—28no—
813C22×C4⋊C4—28no—
814C22×C4⋊C4—28no—
815C22×C4⋊C4—28no—
816C22×C4⋊C4—216no—
817C22×C4⋊C4—216no—
818C22×C4⋊C4C2414yes—
819C22×C4⋊C4C2414yes—
820C22×C4⋊C4C2414yes—
821C22×C4⋊C4C2414yes—
822C22×C4⋊C4C2414yes—
823C22×C4⋊C4C2414yes—
824C22×C4⋊C4C2414yes—
825C22×C4⋊C4C2414yes—
826C22×C4⋊C4C2418yes—
827C22×C4⋊C4C2418yes—
828C22×C4⋊C4C24116yes—
829C22×C4⋊C4C24116yescomplemented
830C22×C4⋊C4C2418yescomplemented
831C22×C4⋊C4C2418yescomplemented
832C22×C4⋊C4C2418yescomplemented
833C22×C4⋊C4C2418yescomplemented
834C22×C4⋊C4C24116yescomplemented
835C22×C22⋊C4—28no—
836C22×C22⋊C4—28no—
837C22×C22⋊C4—28no—
838C22×C22⋊C4—232no—
839C22×C22⋊C4—28no—
840C22×C22⋊C4—28no—
841C22×C22⋊C4—28no—
842C22×C22⋊C4—28no—
843C22×C22⋊C4—232no—
844C22×C22⋊C4—232no—
845C22×C22⋊C4—28no—
846C22×C22⋊C4—264no—
847C22×C22⋊C4—2128no—
848C22×C22⋊C4—432no—
849C22×C22⋊C4—416no—
850C22×C22⋊C4—432no—
851C22×C22⋊C4—88no—
852C22×C22⋊C4C2×D4116yes—
853C22×C22⋊C4C2×D4116yes—
854C22×C22⋊C4C2×D4164yescomplemented
855C22×C22⋊C4C2×D4116yescomplemented
856C22×C22⋊C4C2×D4116yescomplemented
857C22×C22⋊C4C2×D4164yescomplemented
858C22×C22⋊C4C2×D41256yescomplemented
859C22×C22⋊C4C2418yes—
860C22×C22⋊C4C24132yes—
861C22×C22⋊C4C24116yes—
862C22×C22⋊C4C2418yes—
863C22×C22⋊C4C2414yes—
864C22×C22⋊C4C2414yes—
865C22×C22⋊C4C2414yes—
866C22×C22⋊C4C2418yes—
867C22×C22⋊C4C2414yes—
868C22×C22⋊C4C2414yes—
869C22×C22⋊C4C2412yes—
870C22×C22⋊C4C2414yes—
871C22×C22⋊C4C2418yes—
872C22×C22⋊C4C2418yes—
873C22×C22⋊C4C2414yes—
874C22×C22⋊C4C2418yes—
875C22×C22⋊C4C2412yes—
876C22×C22⋊C4C2418yes—
877C22×C22⋊C4C2418yes—
878C22×C22⋊C4C2418yes—
879C22×C22⋊C4C2418yes—
880C22×C22⋊C4C24132yes—
881C22×C22⋊C4C2418yes—
882C22×C22⋊C4C24116yes—
883C22×C22⋊C4C24116yes—
884C22×C22⋊C4C24116yes—
885C22×C22⋊C4C2418yes—
886C22×C22⋊C4C24116yes—
887C22×C22⋊C4C24116yes—
888C22×C22⋊C4C24116yes—
889C22×C22⋊C4C24116yes—
890C22×C22⋊C4C2418yes—
891C22×C22⋊C4C24132yes—
892C22×C22⋊C4C2418yes—
893C22×C22⋊C4C2414yes—
894C22×C22⋊C4C2414yes—
895C22×C22⋊C4C2414yes—
896C22×C22⋊C4C2414yes—
897C22×C22⋊C4C2418yes—
898C22×C22⋊C4C2418yes—
899C22×C22⋊C4C2418yes—
900C22×C22⋊C4C24132yes—
901C22×C22⋊C4C24132yes—
902C22×C22⋊C4C24132yescomplemented
903C22×C22⋊C4C2418yescomplemented
904C22×C22⋊C4C2418yescomplemented
905C22×C22⋊C4C2418yescomplemented
906C22×C22⋊C4C24164yescomplemented
907C22×C22⋊C4C2418yescomplemented
908C22×C22⋊C4C24132yescomplemented
909C22×C22⋊C4C2418yescomplemented
910C22×C22⋊C4C24164yescomplemented
911C22×C22⋊C4C24164yescomplemented
912C22×C42—28no—
913C22×C42C2414yes—
914C22×C42C2418yes—
915C22×C42C2418yes—
916C22×C42C2418yescomplemented
917#400C24164yescomplemented
918#400C24164yescomplemented
919#399C24164yescomplemented
920#399C24164yescomplemented
921#398C24164yescomplemented
922#397C24164yescomplemented
923#397C24164yescomplemented
924#397C241128yescomplemented
925#397C24164yescomplemented
926#396C241128yescomplemented
927#394C24164yescomplemented
928#394C24164yescomplemented
929#394C24164yescomplemented
930#394C241128yescomplemented
931#394C241128yescomplemented
932#394C241128yescomplemented
933#394C241128yescomplemented
934#394C241128yescomplemented
935#393C241128yescomplemented
936#392C241128yes—
937#392C241128yes—
938#392C241128yescomplemented
939#392C24164yescomplemented
940#392C241128yescomplemented
941#392C24164yescomplemented
942#392C241128yescomplemented
943#392C241128yescomplemented
944#392C24164yescomplemented
945#392C24164yescomplemented
946#392C241128yescomplemented
947#392C241128yescomplemented
948#392C24164yescomplemented
949#391C24164yescomplemented
950#390C24164yescomplemented
951#390C241128yescomplemented
952#390C24164yescomplemented
953#390C24164yescomplemented
954#390C24164yescomplemented
955#390C241128yescomplemented
956#389C24164yescomplemented
957#388C241128yescomplemented
958#388C241128yescomplemented
959#388C241128yescomplemented
960#388C241128yescomplemented
961#388C241128yescomplemented
962#386C241128yes—
963#386C24164yes—
964#386C24164yes—
965#386C241128yes—
966#386C24164yescomplemented
967#386C24164yescomplemented
968#386C24164yescomplemented
969#386C241128yescomplemented
970#386C24164yescomplemented
971#386C24164yescomplemented
972#386C241128yescomplemented
973#386C241128yescomplemented
974#386C24164yescomplemented
975#386C24164yescomplemented
976#386C24164yescomplemented
977#385C241128yescomplemented
978#385C24164yescomplemented
979#385C24164yescomplemented
980#382C24164yescomplemented
981#381C24164yescomplemented
982#381C24132yescomplemented
983#381C24132yescomplemented
984#380C24164yescomplemented
985#380C24164yescomplemented
986#380C24132yescomplemented
987#380C24132yescomplemented
988#380C24164yescomplemented
989#380C24132yescomplemented
990#380C24132yescomplemented
991#379C24132yes—
992#379C24132yes—
993#379C24132yes—
994#379C24132yes—
995#379C24164yescomplemented
996#379C24164yescomplemented
997#379C24164yescomplemented
998C4×C22⋊C4C24132yescomplemented
999C4×C22⋊C4C24132yescomplemented
1000C4×C22⋊C4C24132yescomplemented
1001C4×C22⋊C4C24132yescomplemented
1002C4×C22⋊C4C241128yescomplemented
1003C2×#95C24116yes—
1004C2×#95C24116yes—
1005C2×#95C2418yes—
1006C2×#95C2418yes—
1007C2×#95C2418yes—
1008C2×#95C24116yes—
1009C2×#95C24116yes—
1010C2×#95C2418yes—
1011C2×#95C24164yescomplemented
1012C25—24no—
1013C25—216no—
1014C25—28no—
1015C25—28no—
1016C25—216no—
1017C25—28no—
1018C25—2128no—
1019C25—264no—
1020C25—28no—
1021C25—216no—
1022C25—24no—
1023C25—216no—
1024C25—24no—
1025C25—28no—
1026C25—216no—
1027C25—216no—
1028C25—216no—
1029C25—232no—
1030C25—232no—
1031C25—216no—
1032C25—264no—
1033C25—216no—
1034C25—232no—
1035C25—28no—
1036C25—28no—
1037C25—264no—
1038C25—216no—
1039C25—44no—
1040C25—44no—
1041C25—44no—
1042C25—44no—
1043C25—48no—
1044C25—416no—
1045C25—48no—
1046C25—44no—
1047C25—464no—
1048C25—44no—
1049C25—44no—
1050C25—48no—
1051C25—48no—
1052C25—416no—
1053C25—432no—
1054C25—432no—
1055C25—416no—
1056C25—464no—
1057C25—44no—
1058C25—44no—
1059C25—44no—
1060C25—416no—
1061C25—416no—
1062C25—416no—
1063C25—416no—
1064C25—464no—
1065C25—416no—
1066C25—464no—
1067C25—4128no—
1068C25—464no—
1069C25—864no—
1070C25—832no—
1071C25—816no—
1072C25—816no—
1073C25—832no—
1074C25—8128no—
1075C25—8128no—
1076C25—832no—
1077C25—864no—
1078C25—8256no—
1079C25C22×D418yes—
1080C25C22×D4116yes—
1081C25C22×D418yes—
1082C25C22×D4116yes—
1083C25C22×D4164yes—
1084C25C22×D418yes—
1085C25H(5,𝔽2)116yes—
1086C25C2512yes—
1087C25C2518yes—
1088C25C2512yes—
1089C25C2512yes—
1090C25C2511yescharacteristic
1091C25C2512yes—
1092C25C2514yes—
1093C25C25116yes—
1094C25C2518yes—
1095C25C2514yes—
1096C25C2512yes—
1097C25C2511yescharacteristic
1098C25C2511yescharacteristic
1099C25C2514yes—
1100C25C25116yes—
1101C25C25116yes—
1102C25C2514yes—
1103C25C2518yes—
1104C25C2514yes—
1105C25C25116yes—
1106C25C2514yes—
1107C2×#41—2128no—
1108C2×#41—2128no—
1109C2×#41—2128no—
1110C2×#41—464no—
1111C2×#41—464no—
1112C2×#41—464no—
1113C2×#41—4256no—
1114C2×#41—4256no—
1115C2×#41—41024no—
1116C22×Q8—216no—
1117C22×Q8—232no—
1118C22×Q8—216no—
1119C22×Q8—48no—
1120C22×Q8—432no—
1121C22×Q8—464no—
1122C22×Q8C25116yes—
1123C22×D4—2128no—
1124C22×D4—28no—
1125C22×D4—232no—
1126C22×D4—28no—
1127C22×D4—28no—
1128C22×D4—28no—
1129C22×D4—264no—
1130C22×D4—216no—
1131C22×D4—232no—
1132C22×D4—28no—
1133C22×D4—232no—
1134C22×D4—28no—
1135C22×D4—232no—
1136C22×D4—2128no—
1137C22×D4—232no—
1138C22×D4—232no—
1139C22×D4—2128no—
1140C22×D4—232no—
1141C22×D4—216no—
1142C22×D4—232no—
1143C22×D4—28no—
1144C22×D4—232no—
1145C22×D4—28no—
1146C22×D4—216no—
1147C22×D4—232no—
1148C22×D4—2128no—
1149C22×D4—2128no—
1150C22×D4—2128no—
1151C22×D4—2128no—
1152C22×D4—2128no—
1153C22×D4—2128no—
1154C22×D4—216no—
1155C22×D4—232no—
1156C22×D4—232no—
1157C22×D4—2128no—
1158C22×D4—216no—
1159C22×D4—216no—
1160C22×D4—232no—
1161C22×D4—232no—
1162C22×D4—232no—
1163C22×D4—216no—
1164C22×D4—264no—
1165C22×D4—2128no—
1166C22×D4—216no—
1167C22×D4—232no—
1168C22×D4—264no—
1169C22×D4—2128no—
1170C22×D4—216no—
1171C22×D4—232no—
1172C22×D4—216no—
1173C22×D4—216no—
1174C22×D4—216no—
1175C22×D4—216no—
1176C22×D4—264no—
1177C22×D4—264no—
1178C22×D4—216no—
1179C22×D4—232no—
1180C22×D4—28no—
1181C22×D4—216no—
1182C22×D4—432no—
1183C22×D4—464no—
1184C22×D4—48no—
1185C22×D4—48no—
1186C22×D4—48no—
1187C22×D4—416no—
1188C22×D4—416no—
1189C22×D4—464no—
1190C22×D4—416no—
1191C22×D4—416no—
1192C22×D4—464no—
1193C22×D4—48no—
1194C22×D4—48no—
1195C22×D4—464no—
1196C22×D4—432no—
1197C22×D4—432no—
1198C22×D4—432no—
1199C22×D4—4128no—
1200C22×D4—416no—
1201C22×D4—416no—
1202C22×D4—416no—
1203C22×D4—432no—
1204C22×D4—416no—
1205C22×D4—416no—
1206C22×D4—416no—
1207C22×D4—432no—
1208C22×D4—464no—
1209C22×D4—432no—
1210C22×D4—432no—
1211C22×D4—432no—
1212C22×D4—464no—
1213C22×D4—464no—
1214C22×D4—432no—
1215C22×D4—432no—
1216C22×D4—4128no—
1217C22×D4—4128no—
1218C22×D4—4128no—
1219C22×D4—4128no—
1220C22×D4—432no—
1221C22×D4—432no—
1222C22×D4—4128no—
1223C22×D4—4256no—
1224C22×D4—4256no—
1225C22×D4—41024no—
1226C22×D4—464no—
1227C22×D4—4256no—
1228C22×D4—4256no—
1229C22×D4—4256no—
1230C22×D4—4256no—
1231C22×D4—42048no—
1232C22×D4—464no—
1233C22×D4—4256no—
1234C22×D4—464no—
1235C22×D4—464no—
1236C22×D4—464no—
1237C22×D4—4256no—
1238C22×D4—864no—
1239C22×D4—816no—
1240C22×D4—832no—
1241C22×D4—816no—
1242C22×D4—864no—
1243C22×D4—832no—
1244C22×D4—864no—
1245C22×D4—832no—
1246C22×D4—8256no—
1247C22×D4H(5,𝔽2)116yes—
1248C22×D4C25116yes—
1249C22×D4C2518yes—
1250C22×D4C25132yes—
1251C22×D4C2518yes—
1252C22×D4C2518yes—
1253C22×D4C25132yes—
1254C22×D4C25116yes—
1255C22×D4C25116yes—
1256C22×D4C25116yes—
1257C22×D4C2518yes—
1258C22×D4C25116yes—
1259C22×D4C25116yes—
1260C22×D4C25116yes—
1261C22×D4C25116yes—
1262C22×D4C25116yes—
1263C22×D4C25164yes—
1264C22×D4C2518yes—
1265C22×D4C25116yes—
1266C22×D4C25132yes—
1267C22×D4C25132yes—
1268C22×D4C2518yes—
1269C22×D4C25164yes—
1270C22×D4C25164yes—
1271C23×C4—24no—
1272C23×C4—216no—
1273C23×C4—28no—
1274C23×C4—24no—
1275C23×C4—24no—
1276C23×C4—24no—
1277C23×C4—216no—
1278C23×C4—24no—
1279C23×C4—216no—
1280C23×C4—232no—
1281C23×C4—216no—
1282C23×C4—264no—
1283C23×C4—216no—
1284C23×C4—216no—
1285C23×C4—216no—
1286C23×C4—28no—
1287C23×C4—216no—
1288C23×C4—232no—
1289C23×C4—216no—
1290C23×C4—232no—
1291C23×C4—216no—
1292C23×C4—232no—
1293C23×C4—216no—
1294C23×C4—216no—
1295C23×C4—216no—
1296C23×C4—232no—
1297C23×C4—432no—
1298C23×C4—432no—
1299C23×C4—48no—
1300C23×C4—44no—
1301C23×C4—464no—
1302C23×C4—48no—
1303C23×C4—44no—
1304C23×C4—416no—
1305C23×C4—416no—
1306C23×C4—464no—
1307C23×C4—44no—
1308C23×C4—44no—
1309C23×C4—48no—
1310C23×C4—48no—
1311C23×C4—48no—
1312C23×C4—432no—
1313C23×C4—432no—
1314C23×C4—44no—
1315C23×C4—44no—
1316C23×C4—48no—
1317C23×C4—44no—
1318C23×C4—416no—
1319C23×C4—416no—
1320C23×C4—416no—
1321C23×C4—464no—
1322C23×C4—464no—
1323C23×C4—4128no—
1324C23×C4—464no—
1325C23×C4—832no—
1326C23×C4—816no—
1327C23×C4—816no—
1328C23×C4—832no—
1329C23×C4C22×D4116yes—
1330C23×C4C22×D418yes—
1331C23×C4C22×D4116yes—
1332C23×C4C22×D418yes—
1333C23×C4C22×D418yes—
1334C23×C4C22×D418yes—
1335C23×C4C22×D4116yes—
1336C23×C4C22×D4116yes—
1337C23×C4C22×D4164yescomplemented
1338C23×C4C22×D4164yescomplemented
1339C23×C4C2514yes—
1340C23×C4C25116yes—
1341C23×C4C2514yes—
1342C23×C4C2512yes—
1343C23×C4C2512yes—
1344C23×C4C25116yes—
1345C23×C4C2512yes—
1346C23×C4C2518yes—
1347C23×C4C2512yes—
1348C23×C4C25116yes—
1349C23×C4C25116yes—
1350C23×C4C25116yes—
1351C23×C4C2518yes—
1352C23×C4C2512yes—
1353C23×C4C2512yes—
1354C23×C4C2512yes—
1355C23×C4C2512yes—
1356C23×C4C2512yes—
1357C23×C4C25132yes—
1358C23×C4C2514yes—
1359C23×C4C2514yes—
1360C23×C4C25116yes—
1361C23×C4C25116yes—
1362C23×C4C2514yes—
1363C23×C4C25116yes—
1364C23×C4C2518yes—
1365C23×C4C2514yes—
1366C23×C4C2514yes—
1367C23×C4C2514yes—
1368C23×C4C2514yes—
1369C23×C4C2518yes—
1370C23×C4C2518yes—
1371#127—4128no—
1372#127—864no—
1373#124—2256no—
1374#124—4128no—
1375#123—2128no—
1376#123—2128no—
1377#123—2256no—
1378#123—2256no—
1379#123—2256no—
1380#123—2256no—
1381#123—2256no—
1382#123—4128no—
1383#123—4128no—
1384C22⋊Q8—2256no—
1385#121—2128no—
1386#121—2128no—
1387#121—2128no—
1388#121—2128no—
1389#121—2128no—
1390#121—2128no—
1391#121—2128no—
1392#121—2128no—
1393#121—2128no—
1394#121—2128no—
1395#121—2256no—
1396#121—2256no—
1397#121—4128no—
1398#121—4256no—
1399#121—4128no—
1400#121—864no—
1401#120—2128no—
1402#120—2128no—
1403#120—2256no—
1404#120—2256no—
1405#120—2256no—
1406#120—2256no—
1407#120—2256no—
1408#120—2256no—
1409#120—4128no—
1410#120—4256no—
1411#120—4128no—
1412#120—4128no—
1413#120—4128no—
1414#120—4128no—
1415#120—4128no—
1416#120—4128no—
1417#120—4128no—
1418#120—864no—
1419C4×D4—2128no—
1420C4×D4—2128no—
1421C4×D4—2256no—
1422#117—464no—
1423#117—832no—
1424C2×C4⋊C4—216no—
1425C2×C4⋊C4—216no—
1426C2×C4⋊C4—216no—
1427C2×C4⋊C4—216no—
1428C2×C4⋊C4—216no—
1429C2×C4⋊C4—216no—
1430C2×C4⋊C4—216no—
1431C2×C4⋊C4—216no—
1432C2×C4⋊C4—232no—
1433C2×C4⋊C4—232no—
1434C2×C4⋊C4—232no—
1435C2×C4⋊C4—232no—
1436C2×C4⋊C4—264no—
1437C2×C4⋊C4—264no—
1438C2×C4⋊C4—416no—
1439C2×C4⋊C4—416no—
1440C2×C4⋊C4—432no—
1441C2×C4⋊C4C25116yes—
1442C2×C4⋊C4C25116yes—
1443C2×C4⋊C4C25116yes—
1444C2×C4⋊C4C25116yes—
1445C2×C4⋊C4C25116yes—
1446C2×C4⋊C4C25116yes—
1447C2×C4⋊C4C25116yes—
1448C2×C4⋊C4C25116yes—
1449C2×C4⋊C4C25132yes—
1450C2×C4⋊C4C25132yes—
1451C2×C4⋊C4C25164yes—
1452C2×C22⋊C4—216no—
1453C2×C22⋊C4—232no—
1454C2×C22⋊C4—28no—
1455C2×C22⋊C4—232no—
1456C2×C22⋊C4—28no—
1457C2×C22⋊C4—216no—
1458C2×C22⋊C4—232no—
1459C2×C22⋊C4—232no—
1460C2×C22⋊C4—232no—
1461C2×C22⋊C4—2128no—
1462C2×C22⋊C4—232no—
1463C2×C22⋊C4—216no—
1464C2×C22⋊C4—216no—
1465C2×C22⋊C4—232no—
1466C2×C22⋊C4—232no—
1467C2×C22⋊C4—216no—
1468C2×C22⋊C4—216no—
1469C2×C22⋊C4—232no—
1470C2×C22⋊C4—232no—
1471C2×C22⋊C4—232no—
1472C2×C22⋊C4—232no—
1473C2×C22⋊C4—216no—
1474C2×C22⋊C4—232no—
1475C2×C22⋊C4—232no—
1476C2×C22⋊C4—2128no—
1477C2×C22⋊C4—2128no—
1478C2×C22⋊C4—232no—
1479C2×C22⋊C4—264no—
1480C2×C22⋊C4—2256no—
1481C2×C22⋊C4—4128no—
1482C2×C22⋊C4—464no—
1483C2×C22⋊C4—416no—
1484C2×C22⋊C4—432no—
1485C2×C22⋊C4—432no—
1486C2×C22⋊C4—432no—
1487C2×C22⋊C4—4128no—
1488C2×C22⋊C4—416no—
1489C2×C22⋊C4—416no—
1490C2×C22⋊C4—432no—
1491C2×C22⋊C4—432no—
1492C2×C22⋊C4—432no—
1493C2×C22⋊C4—432no—
1494C2×C22⋊C4—832no—
1495C2×C22⋊C4C22×D4132yes—
1496C2×C22⋊C4C22×D4164yes—
1497C2×C22⋊C4C22×D4132yes—
1498C2×C22⋊C4C22×D4164yes—
1499C2×C22⋊C4C22×D4132yes—
1500C2×C22⋊C4C22×D4132yes—
1501C2×C22⋊C4C22×D41256yescomplemented
1502C2×C22⋊C4C22×D4164yescomplemented
1503C2×C22⋊C4C22×D4164yescomplemented
1504C2×C22⋊C4C22×D41256yescomplemented
1505C2×C22⋊C4C25116yes—
1506C2×C22⋊C4C25132yes—
1507C2×C22⋊C4C2518yes—
1508C2×C22⋊C4C2518yes—
1509C2×C22⋊C4C25132yes—
1510C2×C22⋊C4C25116yes—
1511C2×C22⋊C4C25132yes—
1512C2×C22⋊C4C25116yes—
1513C2×C22⋊C4C25116yes—
1514C2×C22⋊C4C25116yes—
1515C2×C22⋊C4C25116yes—
1516C2×C22⋊C4C25132yes—
1517C2×C22⋊C4C25132yes—
1518C2×C22⋊C4C25132yes—
1519C2×C22⋊C4C25132yes—
1520C2×C22⋊C4C25164yes—
1521C2×C22⋊C4C25116yes—
1522C2×C22⋊C4C25132yes—
1523C2×C22⋊C4C25132yes—
1524C2×C22⋊C4C25132yes—
1525C2×C22⋊C4C25164yes—
1526C2×C22⋊C4C25164yes—
1527C2×C22⋊C4C25164yes—
1528C2×C22⋊C4C25164yes—
1529C2×C22⋊C4C25164yes—
1530C2×C22⋊C4C25164yes—
1531C2×C22⋊C4C25164yes—
1532C2×C22⋊C4C25116yes—
1533C2×C22⋊C4C25116yes—
1534C2×C22⋊C4C25116yes—
1535C2×C22⋊C4C25116yes—
1536C2×C42—216no—
1537C2×C42—232no—
1538C2×C42—416no—
1539C2×C42—416no—
1540C2×C42C25116yes—
1541C2×C42C25132yes—
1542C2×C42C25132yes—
1543#95C25164yes—
1544#95C25164yes—
1545#95C25132yes—
1546#95C25132yes—
1547#95C25132yes—
1548#95C25132yes—
1549#95C25164yes—
1550#95C25164yes—
1551C24—24no—
1552C24—28no—
1553C24—24no—
1554C24—24no—
1555C24—24no—
1556C24—28no—
1557C24—232no—
1558C24—28no—
1559C24—24no—
1560C24—28no—
1561C24—232no—
1562C24—28no—
1563C24—216no—
1564C24—216no—
1565C24—24no—
1566C24—24no—
1567C24—232no—
1568C24—28no—
1569C24—216no—
1570C24—24no—
1571C24—24no—
1572C24—28no—
1573C24—28no—
1574C24—264no—
1575C24—232no—
1576C24—232no—
1577C24—264no—
1578C24—216no—
1579C24—232no—
1580C24—232no—
1581C24—264no—
1582C24—2256no—
1583C24—28no—
1584C24—24no—
1585C24—232no—
1586C24—216no—
1587C24—28no—
1588C24—24no—
1589C24—232no—
1590C24—28no—
1591C24—28no—
1592C24—216no—
1593C24—216no—
1594C24—28no—
1595C24—232no—
1596C24—232no—
1597C24—28no—
1598C24—216no—
1599C24—232no—
1600C24—28no—
1601C24—28no—
1602C24—232no—
1603C24—264no—
1604C24—232no—
1605C24—232no—
1606C24—264no—
1607C24—216no—
1608C24—216no—
1609C24—232no—
1610C24—416no—
1611C24—48no—
1612C24—416no—
1613C24—48no—
1614C24—48no—
1615C24—416no—
1616C24—432no—
1617C24—464no—
1618C24—48no—
1619C24—416no—
1620C24—432no—
1621C24—416no—
1622C24—48no—
1623C24—416no—
1624C24—432no—
1625C24—4128no—
1626C24—48no—
1627C24—48no—
1628C24—416no—
1629C24—416no—
1630C24—432no—
1631C24—432no—
1632C24—48no—
1633C24—416no—
1634C24—48no—
1635C24—48no—
1636C24—432no—
1637C24—432no—
1638C24—432no—
1639C24—432no—
1640C24—432no—
1641C24—432no—
1642C24—464no—
1643C24—464no—
1644C24—4128no—
1645C24—464no—
1646C24—4128no—
1647C24—416no—
1648C24—416no—
1649C24—416no—
1650C24—464no—
1651C24—4128no—
1652C24—4256no—
1653C24—464no—
1654C24—416no—
1655C24—416no—
1656C24—464no—
1657C24—4128no—
1658C24—416no—
1659C24—464no—
1660C24—416no—
1661C24—464no—
1662C24—416no—
1663C24—4128no—
1664C24—464no—
1665C24—832no—
1666C24—832no—
1667C24—832no—
1668C24—832no—
1669C24—864no—
1670C24—864no—
1671C24—864no—
1672C24—8128no—
1673C24—832no—
1674C24—832no—
1675C24—8128no—
1676C24—832no—
1677C24—832no—
1678C24—864no—
1679C24—8512no—
1680C24—8256no—
1681C24—8256no—
1682C24—864no—
1683C24—8128no—
1684C24—8128no—
1685C24—8512no—
1686C24—8512no—
1687C24—81024no—
1688C24#535164yescomplemented
1689C24C23×D418yes—
1690C24C23×D414yes—
1691C24C23×D4116yes—
1692C24C23×D4132yes—
1693C24C23×D418yes—
1694C24C23×D414yes—
1695C24C23×D414yes—
1696C24C23×D4116yes—
1697C24C23×D4132yes—
1698C24C23×D4116yes—
1699C24C2×H(5,𝔽2)18yes—
1700C24C2×H(5,𝔽2)18yes—
1701C24C2×H(5,𝔽2)116yes—
1702C24C2×H(5,𝔽2)18yes—
1703C24C2×H(5,𝔽2)132yes—
1704C24C2614yes—
1705C24C26116yes—
1706C24C2614yes—
1707C24C2614yes—
1708C24C2612yes—
1709C24C2614yes—
1710C24C2614yes—
1711C24C2612yes—
1712C24C2612yes—
1713C24C2611yescharacteristic
1714#41—4512no—
1715#41—4512no—
1716C2×Q8—232no—
1717C2×Q8—232no—
1718C2×Q8—416no—
1719C2×Q8—464no—
1720C2×Q8—4128no—
1721C2×D4—2256no—
1722C2×D4—264no—
1723C2×D4—216no—
1724C2×D4—216no—
1725C2×D4—216no—
1726C2×D4—216no—
1727C2×D4—264no—
1728C2×D4—232no—
1729C2×D4—216no—
1730C2×D4—216no—
1731C2×D4—264no—
1732C2×D4—264no—
1733C2×D4—264no—
1734C2×D4—264no—
1735C2×D4—232no—
1736C2×D4—216no—
1737C2×D4—216no—
1738C2×D4—232no—
1739C2×D4—232no—
1740C2×D4—232no—
1741C2×D4—264no—
1742C2×D4—264no—
1743C2×D4—232no—
1744C2×D4—264no—
1745C2×D4—264no—
1746C2×D4—264no—
1747C2×D4—232no—
1748C2×D4—232no—
1749C2×D4—2128no—
1750C2×D4—232no—
1751C2×D4—232no—
1752C2×D4—232no—
1753C2×D4—232no—
1754C2×D4—232no—
1755C2×D4—232no—
1756C2×D4—216no—
1757C2×D4—232no—
1758C2×D4—416no—
1759C2×D4—416no—
1760C2×D4—416no—
1761C2×D4—432no—
1762C2×D4—432no—
1763C2×D4—432no—
1764C2×D4—432no—
1765C2×D4—416no—
1766C2×D4—416no—
1767C2×D4—464no—
1768C2×D4—464no—
1769C2×D4—4128no—
1770C2×D4—464no—
1771C2×D4—464no—
1772C2×D4—464no—
1773C2×D4—432no—
1774C2×D4—432no—
1775C2×D4—432no—
1776C2×D4—464no—
1777C2×D4—432no—
1778C2×D4—432no—
1779C2×D4—432no—
1780C2×D4—464no—
1781C2×D4—464no—
1782C2×D4—464no—
1783C2×D4—464no—
1784C2×D4—4512no—
1785C2×D4—4512no—
1786C2×D4—464no—
1787C2×D4—4128no—
1788C2×D4—4128no—
1789C2×D4—4512no—
1790C2×D4—4512no—
1791C2×D4—4512no—
1792C2×D4—4512no—
1793C2×D4—432no—
1794C2×D4—4128no—
1795C2×D4—4128no—
1796C2×D4—4512no—
1797C2×D4—4128no—
1798C2×D4—4128no—
1799C2×D4—432no—
1800C2×D4—464no—
1801C2×D4—4128no—
1802C2×D4—4128no—
1803C2×D4—4128no—
1804C2×D4—4512no—
1805C2×D4—432no—
1806C2×D4—432no—
1807C2×D4—832no—
1808C2×D4—832no—
1809C2×D4—8128no—
1810C2×D4—832no—
1811C2×D4—832no—
1812C2×D4—832no—
1813C2×D4—832no—
1814C2×D4—8128no—
1815C2×D4—864no—
1816C2×D4—8128no—
1817C2×D4—864no—
1818C2×D4—8128no—
1819C2×D4—8512no—
1820C2×D4—1664no—
1821C2×D4C2×H(5,𝔽2)132yes—
1822C22×C4—232no—
1823C22×C4—28no—
1824C22×C4—24no—
1825C22×C4—28no—
1826C22×C4—28no—
1827C22×C4—232no—
1828C22×C4—24no—
1829C22×C4—28no—
1830C22×C4—28no—
1831C22×C4—264no—
1832C22×C4—216no—
1833C22×C4—28no—
1834C22×C4—24no—
1835C22×C4—28no—
1836C22×C4—24no—
1837C22×C4—28no—
1838C22×C4—24no—
1839C22×C4—232no—
1840C22×C4—216no—
1841C22×C4—28no—
1842C22×C4—24no—
1843C22×C4—232no—
1844C22×C4—232no—
1845C22×C4—232no—
1846C22×C4—232no—
1847C22×C4—232no—
1848C22×C4—28no—
1849C22×C4—28no—
1850C22×C4—232no—
1851C22×C4—216no—
1852C22×C4—28no—
1853C22×C4—216no—
1854C22×C4—232no—
1855C22×C4—216no—
1856C22×C4—232no—
1857C22×C4—232no—
1858C22×C4—28no—
1859C22×C4—264no—
1860C22×C4—232no—
1861C22×C4—232no—
1862C22×C4—232no—
1863C22×C4—232no—
1864C22×C4—232no—
1865C22×C4—416no—
1866C22×C4—416no—
1867C22×C4—48no—
1868C22×C4—416no—
1869C22×C4—432no—
1870C22×C4—4128no—
1871C22×C4—416no—
1872C22×C4—48no—
1873C22×C4—432no—
1874C22×C4—432no—
1875C22×C4—48no—
1876C22×C4—48no—
1877C22×C4—416no—
1878C22×C4—416no—
1879C22×C4—416no—
1880C22×C4—416no—
1881C22×C4—48no—
1882C22×C4—432no—
1883C22×C4—432no—
1884C22×C4—416no—
1885C22×C4—48no—
1886C22×C4—416no—
1887C22×C4—48no—
1888C22×C4—464no—
1889C22×C4—432no—
1890C22×C4—432no—
1891C22×C4—432no—
1892C22×C4—464no—
1893C22×C4—464no—
1894C22×C4—4128no—
1895C22×C4—4128no—
1896C22×C4—416no—
1897C22×C4—464no—
1898C22×C4—4256no—
1899C22×C4—464no—
1900C22×C4—416no—
1901C22×C4—4128no—
1902C22×C4—416no—
1903C22×C4—464no—
1904C22×C4—416no—
1905C22×C4—832no—
1906C22×C4—864no—
1907C22×C4—864no—
1908C22×C4—864no—
1909C22×C4C23×D418yes—
1910C22×C4C23×D418yes—
1911C22×C4C23×D418yes—
1912C22×C4C23×D418yes—
1913C22×C4C23×D4132yes—
1914C22×C4C23×D4116yes—
1915C22×C4C23×D4132yes—
1916C22×C4C23×D4116yes—
1917C22×C4C23×D4116yes—
1918C22×C4C23×D4116yes—
1919C22×C4C23×D4132yes—
1920C22×C4C23×D4132yes—
1921C22×C4C2×H(5,𝔽2)18yes—
1922C22×C4C26132yes—
1923C22×C4C2614yes—
1924C22×C4C2614yes—
1925C22×C4C26116yes—
1926C22×C4C2614yes—
1927C22×C4C2614yes—
1928C22×C4C2614yes—
1929C22×C4C2614yes—
1930C22×C4C2614yes—
1931C22×C4C2614yes—
1932C22×C4C2614yes—
1933C4⋊C4—232no—
1934C4⋊C4—232no—
1935C4⋊C4—232no—
1936C4⋊C4—232no—
1937C4⋊C4—232no—
1938C4⋊C4—232no—
1939C4⋊C4—232no—
1940C4⋊C4—232no—
1941C4⋊C4—432no—
1942C4⋊C4—432no—
1943C4⋊C4—464no—
1944C22⋊C4—232no—
1945C22⋊C4—216no—
1946C22⋊C4—216no—
1947C22⋊C4—232no—
1948C22⋊C4—264no—
1949C22⋊C4—264no—
1950C22⋊C4—264no—
1951C22⋊C4—232no—
1952C22⋊C4—232no—
1953C22⋊C4—232no—
1954C22⋊C4—232no—
1955C22⋊C4—264no—
1956C22⋊C4—264no—
1957C22⋊C4—264no—
1958C22⋊C4—264no—
1959C22⋊C4—232no—
1960C22⋊C4—2128no—
1961C22⋊C4—432no—
1962C22⋊C4—464no—
1963C22⋊C4—464no—
1964C22⋊C4—464no—
1965C22⋊C4—432no—
1966C22⋊C4—432no—
1967C22⋊C4—464no—
1968C22⋊C4—464no—
1969C22⋊C4—464no—
1970C22⋊C4—464no—
1971C22⋊C4C23×D4164yes—
1972C22⋊C4C23×D4164yes—
1973C22⋊C4C23×D4164yes—
1974C22⋊C4C23×D4164yes—
1975C42—232no—
1976C42—432no—
1977C42—432no—
1978C23—28no—
1979C23—216no—
1980C23—28no—
1981C23—28no—
1982C23—216no—
1983C23—24no—
1984C23—28no—
1985C23—24no—
1986C23—24no—
1987C23—28no—
1988C23—24no—
1989C23—264no—
1990C23—232no—
1991C23—232no—
1992C23—28no—
1993C23—232no—
1994C23—232no—
1995C23—28no—
1996C23—216no—
1997C23—264no—
1998C23—216no—
1999C23—24no—
2000C23—28no—
2001C23—216no—
2002C23—28no—
2003C23—28no—
2004C23—24no—
2005C23—24no—
2006C23—28no—
2007C23—24no—
2008C23—24no—
2009C23—28no—
2010C23—28no—
2011C23—232no—
2012C23—264no—
2013C23—216no—
2014C23—232no—
2015C23—28no—
2016C23—232no—
2017C23—264no—
2018C23—24no—
2019C23—216no—
2020C23—24no—
2021C23—232no—
2022C23—28no—
2023C23—28no—
2024C23—216no—
2025C23—28no—
2026C23—216no—
2027C23—28no—
2028C23—232no—
2029C23—28no—
2030C23—28no—
2031C23—416no—
2032C23—416no—
2033C23—4128no—
2034C23—416no—
2035C23—432no—
2036C23—464no—
2037C23—416no—
2038C23—432no—
2039C23—416no—
2040C23—432no—
2041C23—4128no—
2042C23—464no—
2043C23—464no—
2044C23—4256no—
2045C23—4128no—
2046C23—464no—
2047C23—4128no—
2048C23—416no—
2049C23—4128no—
2050C23—416no—
2051C23—464no—
2052C23—416no—
2053C23—464no—
2054C23—416no—
2055C23—4128no—
2056C23—416no—
2057C23—464no—
2058C23—48no—
2059C23—416no—
2060C23—416no—
2061C23—432no—
2062C23—416no—
2063C23—48no—
2064C23—48no—
2065C23—48no—
2066C23—464no—
2067C23—432no—
2068C23—48no—
2069C23—48no—
2070C23—432no—
2071C23—464no—
2072C23—432no—
2073C23—432no—
2074C23—464no—
2075C23—464no—
2076C23—432no—
2077C23—416no—
2078C23—48no—
2079C23—464no—
2080C23—416no—
2081C23—48no—
2082C23—832no—
2083C23—832no—
2084C23—864no—
2085C23—8128no—
2086C23—864no—
2087C23—864no—
2088C23—864no—
2089C23—8128no—
2090C23—832no—
2091C23—832no—
2092C23—832no—
2093C23—832no—
2094C23—832no—
2095C23—832no—
2096C23—8256no—
2097C23—864no—
2098C23—8256no—
2099C23—864no—
2100C23—8256no—
2101C23—8512no—
2102C23—8128no—
2103C23—8512no—
2104C23—81024no—
2105C23—8256no—
2106C23C2×#535132yes—
2107C23C2×#535116yes—
2108C23C2×#535164yescomplemented
2109C23#3484116yes—
2110C23C24×D418yes—
2111C23C24×D414yes—
2112C23C24×D414yes—
2113C23C24×D418yes—
2114C23C24×D414yes—
2115C23C24×D412yes—
2116C23C22×H(5,𝔽2)18yes—
2117C23C22×H(5,𝔽2)18yes—
2118C23C22×H(5,𝔽2)18yes—
2119C23C22×H(5,𝔽2)116yes—
2120C23C22×H(5,𝔽2)14yes—
2121C23C22×H(5,𝔽2)14yes—
2122C23H(7,𝔽2)14yes—
2123C23C2711yescharacteristic
2124Q8—464no—
2125D4—264no—
2126D4—264no—
2127D4—464no—
2128D4—464no—
2129D4—464no—
2130D4—4128no—
2131D4—4128no—
2132D4—432no—
2133D4—432no—
2134D4—432no—
2135D4—432no—
2136D4—464no—
2137D4—4128no—
2138D4—4128no—
2139D4—832no—
2140D4—832no—
2141D4—832no—
2142D4—832no—
2143D4—832no—
2144D4—8128no—
2145D4—832no—
2146D4—8128no—
2147D4—1664no—
2148C2×C4—232no—
2149C2×C4—216no—
2150C2×C4—216no—
2151C2×C4—216no—
2152C2×C4—264no—
2153C2×C4—24no—
2154C2×C4—216no—
2155C2×C4—216no—
2156C2×C4—28no—
2157C2×C4—28no—
2158C2×C4—24no—
2159C2×C4—28no—
2160C2×C4—28no—
2161C2×C4—24no—
2162C2×C4—24no—
2163C2×C4—24no—
2164C2×C4—216no—
2165C2×C4—24no—
2166C2×C4—232no—
2167C2×C4—232no—
2168C2×C4—28no—
2169C2×C4—216no—
2170C2×C4—28no—
2171C2×C4—28no—
2172C2×C4—216no—
2173C2×C4—232no—
2174C2×C4—28no—
2175C2×C4—416no—
2176C2×C4—416no—
2177C2×C4—432no—
2178C2×C4—416no—
2179C2×C4—432no—
2180C2×C4—432no—
2181C2×C4—416no—
2182C2×C4—464no—
2183C2×C4—464no—
2184C2×C4—464no—
2185C2×C4—464no—
2186C2×C4—464no—
2187C2×C4—416no—
2188C2×C4—416no—
2189C2×C4—416no—
2190C2×C4—48no—
2191C2×C4—48no—
2192C2×C4—48no—
2193C2×C4—464no—
2194C2×C4—464no—
2195C2×C4—432no—
2196C2×C4—416no—
2197C2×C4—48no—
2198C2×C4—832no—
2199C2×C4—864no—
2200C2×C4C24×D418yes—
2201C2×C4C24×D418yes—
2202C2×C4C24×D418yes—
2203C2×C4C24×D418yes—
2204C2×C4C22×H(5,𝔽2)18yes—
2205C22—24no—
2206C22—24no—
2207C22—28no—
2208C22—232no—
2209C22—232no—
2210C22—264no—
2211C22—232no—
2212C22—216no—
2213C22—216no—
2214C22—24no—
2215C22—24no—
2216C22—28no—
2217C22—28no—
2218C22—24no—
2219C22—24no—
2220C22—28no—
2221C22—28no—
2222C22—216no—
2223C22—24no—
2224C22—28no—
2225C22—464no—
2226C22—464no—
2227C22—4128no—
2228C22—464no—
2229C22—44no—
2230C22—416no—
2231C22—432no—
2232C22—432no—
2233C22—48no—
2234C22—48no—
2235C22—416no—
2236C22—44no—
2237C22—416no—
2238C22—44no—
2239C22—44no—
2240C22—44no—
2241C22—44no—
2242C22—416no—
2243C22—432no—
2244C22—416no—
2245C22—416no—
2246C22—432no—
2247C22—44no—
2248C22—44no—
2249C22—416no—
2250C22—832no—
2251C22—864no—
2252C22—8128no—
2253C22—832no—
2254C22—8128no—
2255C22—832no—
2256C22—8128no—
2257C22—8128no—
2258C22—816no—
2259C22—816no—
2260C22—864no—
2261C22C22×#535116yes—
2262C22C22×#53518yes—
2263C22C22×#53514yes—
2264C22C2×#348418yes—
2265C22C2×#348414yes—
2266C22#6284214yes—
2267C22#62892116yes—
2268C22C25×D411yescharacteristic
2269C22C23×H(5,𝔽2)12yes—
2270C22C23×H(5,𝔽2)12yes—
2271C22C2×H(7,𝔽2)12yes—
2272C4—28no—
2273C4—28no—
2274C4—28no—
2275C4—28no—
2276C4—28no—
2277C4—416no—
2278C4—44no—
2279C4—44no—
2280C4—44no—
2281C4—432no—
2282C4—44no—
2283C2—28no—
2284C2—28no—
2285C2—216no—
2286C2—44no—
2287C2—48no—
2288C2—48no—
2289C2—84no—
2290C2—816no—
2291C2—84no—
2292C2#764477518yesdirect product factor
2293C2C23×#53511yescharacteristic
2294C2C22×#348411yescharacteristic
2295C2C2×#6284211yescharacteristic
2296C2C2×#6289214yes—
subgroupG/H
center, socleC24C26
commutator, Frattini, cosocleC23C27
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×#546C2semidirect
2. C23×#534C2semidirect
3. #7644775C2direct (N × H)
4. C2×#40485C2semidirect
5. C2×#38023C2semidirect
6. C2×#37645C2semidirect
7. C2×#36967C2semidirect
8. C2×#36721C2semidirect
9. C2×#36717C2semidirect
10. C2×#36717C2semidirect
11. C2×#37440C2semidirect
12. C2×#37450C2semidirect
13. C2×#35390C2semidirect
14. C2×#35377C2semidirect
15. C2×#35250C2semidirect
16. C2×#35076C2semidirect
17. C2×#34984C2semidirect
18. C2×#34981C2semidirect
19. C2×#34980C2semidirect
20. C22×#2403C2semidirect
21. C2×#34176C2semidirect
22. C24×#41C22semidirect
26. C22×#546C22semidirect
27. C22×#546C22semidirect
28. C22×#546C22semidirect
29. C22×#535C22semidirect
33. C22×#534C22semidirect
34. C22×#534C22semidirect
35. C22×#534C22semidirect
36. C22×#534C22semidirect
37. C22×#534C22semidirect
38. C23×#124C22semidirect
39. C23×#123C22semidirect
40. C23×#123C22semidirect
41. C23×#123C22semidirect
42. C23×C22⋊Q8C22semidirect
43. C23×#121C22semidirect
44. C23×#121C22semidirect
45. C23×#121C22semidirect
46. C23×#121C22semidirect
47. C23×#121C22semidirect
49. C23×#120C22semidirect
50. C23×#120C22semidirect
51. C23×#120C22semidirect
52. C23×#120C22semidirect
53. C23×C4×D4C22semidirect
54. C23×C4×D4C22semidirect
56. C24×C22⋊C4C22semidirect
57. C2×#2710C22semidirect
58. C2×#2706C22semidirect
59. C2×#2703C22semidirect
60. C2×#2703C22semidirect
61. C2×#2678C22semidirect
62. C2×#2670C22semidirect
63. C2×#2669C22semidirect
64. C2×#2669C22semidirect
65. #40485C22semidirect
66. #38023C22semidirect
67. #37645C22semidirect
68. #37450C22semidirect
69. #37440C22semidirect
70. #36967C22semidirect
71. #36721C22semidirect
72. #36717C22semidirect
73. #36717C22semidirect
74. C2×#2813C22semidirect
75. C2×#2815C22semidirect
76. C2×#2854C22semidirect
77. C2×#2849C22semidirect
78. C2×#2847C22semidirect
79. C2×#2847C22semidirect
80. C2×#2847C22semidirect
81. C2×#2846C22semidirect
82. #35390C22semidirect
83. #35377C22semidirect
84. #35250C22semidirect
85. #35076C22semidirect
86. #34984C22semidirect
87. #34981C22semidirect
88. #34980C22semidirect
89. C2×#2591C22semidirect
90. C2×#2591C22semidirect
91. C2×#2539C22semidirect
92. C2×#2539C22semidirect
93. C2×#2539C22semidirect
94. C2×#2504C22semidirect
95. C2×#2504C22semidirect
96. C2×#2487C22semidirect
97. C2×#2488C22semidirect
98. C2×#2411C22semidirect
99. C2×#2404C22semidirect
100. C2×#2431C22semidirect
101. C2×#2414C22semidirect
102. C2×#2436C22semidirect
103. C2×#2433C22semidirect
104. C2×#2433C22semidirect
105. C2×#2433C22semidirect
106. C2×#2433C22semidirect
107. C2×#2408C22semidirect
108. C2×#2425C22semidirect
109. C2×#2472C22semidirect
110. C2×#2412C22semidirect
111. C2×#2405C22semidirect
112. C2×#2405C22semidirect
113. C2×#2424C22semidirect
114. C2×#2410C22semidirect
115. C2×#2410C22semidirect
116. C2×#2410C22semidirect
117. C2×#2403C22semidirect
118. C2×#2403C22semidirect
119. C2×#2403C22semidirect
120. C2×#2403C22semidirect
121. C2×#2403C22semidirect
122. C2×#2403C22semidirect
123. C2×#2403C22semidirect
124. C2×#2403C22semidirect
125. C2×#2403C22semidirect
126. C2×#2619C22semidirect
127. C2×#2615C22semidirect
128. C2×#2623C22semidirect
129. C2×#2661C22semidirect
130. C2×#2635C22semidirect
131. C2×#2618C22semidirect
132. C2×#2617C22semidirect
133. C2×#2617C22semidirect
134. C2×#2617C22semidirect
135. C2×#2617C22semidirect
136. C2×#2613C22semidirect
137. C2×#2613C22semidirect
138. C22×#392C22semidirect
139. #34176C22semidirect
140. C2×#2342C22semidirect
141. C2×#2342C22semidirect
142. C2×#2321C22semidirect
143. C2×#2315C22semidirect
144. C2×#2312C22semidirect
145. C2×#2312C22semidirect
146. C2×#2311C22semidirect
147. C2×#2308C22semidirect
148. C22×#386C22semidirect
149. C22×#386C22semidirect
150. C2×#2280C22semidirect
151. C2×#2280C22semidirect
153. C2×#2273C22semidirect
160. C23×#41C23semidirect
161. C23×#41C23semidirect
162. C24×Q8C23semidirect
184. C24×D4C23semidirect
185. C24×D4C23semidirect
186. C24×D4C23semidirect
187. C24×D4C23semidirect
188. C24×D4C23semidirect
193. C25×C4C23semidirect
194. C25×C4C23semidirect
195. C25×C4C23semidirect
199. C2×#546C23semidirect
200. C2×#546C23semidirect
202. C2×#535C23semidirect
212. C2×#534C23semidirect
213. C2×#534C23semidirect
214. C2×#534C23semidirect
215. C2×#534C23semidirect
216. C22×#127C23semidirect
217. C22×#127C23semidirect
219. C22×#124C23semidirect
220. C22×#124C23semidirect
221. C22×#124C23semidirect
228. C22×#123C23semidirect
229. C22×#123C23semidirect
230. C22×#123C23semidirect
231. C22×#123C23semidirect
232. C22×#123C23semidirect
233. C22×#123C23semidirect
234. C22×#123C23semidirect
235. C22×#123C23semidirect
236. C22×#123C23semidirect
238. C22×C22⋊Q8C23semidirect
239. C22×C22⋊Q8C23semidirect
251. C22×#121C23semidirect
252. C22×#121C23semidirect
253. C22×#121C23semidirect
254. C22×#121C23semidirect
255. C22×#121C23semidirect
256. C22×#121C23semidirect
257. C22×#121C23semidirect
258. C22×#121C23semidirect
259. C22×#121C23semidirect
260. C22×#121C23semidirect
261. C22×#121C23semidirect
262. C22×#121C23semidirect
263. C22×#121C23semidirect
264. C22×#121C23semidirect
265. C22×#121C23semidirect
279. C22×#120C23semidirect
280. C22×#120C23semidirect
281. C22×#120C23semidirect
282. C22×#120C23semidirect
283. C22×#120C23semidirect
284. C22×#120C23semidirect
285. C22×#120C23semidirect
286. C22×#120C23semidirect
287. C22×#120C23semidirect
288. C22×#120C23semidirect
289. C22×#120C23semidirect
290. C22×#120C23semidirect
291. C22×#120C23semidirect
292. C22×#120C23semidirect
293. C22×#120C23semidirect
297. C22×C4×D4C23semidirect
298. C22×C4×D4C23semidirect
299. C22×C4×D4C23semidirect
300. C22×C4×D4C23semidirect
301. C22×#117C23semidirect
302. C22×#117C23semidirect
303. C23×C4⋊C4C23semidirect
304. C23×C4⋊C4C23semidirect
305. C23×C4⋊C4C23semidirect
306. C23×C4⋊C4C23semidirect
307. C23×C4⋊C4C23semidirect
308. C23×C4⋊C4C23semidirect
310. C23×C22⋊C4D4semidirect
324. C23×C22⋊C4C23semidirect
325. C23×C22⋊C4C23semidirect
326. C23×C22⋊C4C23semidirect
327. C23×C22⋊C4C23semidirect
328. C23×C22⋊C4C23semidirect
329. C23×C22⋊C4C23semidirect
330. C23×C22⋊C4C23semidirect
331. C23×C22⋊C4C23semidirect
332. C23×C22⋊C4C23semidirect
333. C23×C22⋊C4C23semidirect
334. C23×C22⋊C4C23semidirect
335. C23×C42C23semidirect
336. #2854C23semidirect
337. #2849C23semidirect
338. #2847C23semidirect
339. #2847C23semidirect
340. #2847C23semidirect
341. #2846C23semidirect
342. #2815C23semidirect
343. #2813C23semidirect
344. #2710C23semidirect
345. #2706C23semidirect
346. #2703C23semidirect
347. #2703C23semidirect
348. #2678C23semidirect
349. #2670C23semidirect
350. #2669C23semidirect
351. #2669C23semidirect
352. #2661C23semidirect
353. #2635C23semidirect
354. #2623C23semidirect
355. #2619C23semidirect
356. #2618C23semidirect
357. #2617C23semidirect
358. #2617C23semidirect
359. #2617C23semidirect
360. #2617C23semidirect
361. #2615C23semidirect
362. #2613C23semidirect
363. #2613C23semidirect
364. #2591C23semidirect
365. #2591C23semidirect
366. #2539C23semidirect
367. #2539C23semidirect
368. #2539C23semidirect
369. #2504C23semidirect
370. #2504C23semidirect
371. #2488C23semidirect
372. #2487C23semidirect
373. #2472C23semidirect
374. #2436C23semidirect
375. #2433C23semidirect
376. #2433C23semidirect
377. #2433C23semidirect
378. #2433C23semidirect
379. #2431C23semidirect
380. #2425C23semidirect
381. #2424C23semidirect
382. #2414C23semidirect
383. #2412C23semidirect
384. #2411C23semidirect
385. #2410C23semidirect
386. #2410C23semidirect
387. #2410C23semidirect
388. #2408C23semidirect
389. #2405C23semidirect
390. #2405C23semidirect
391. #2404C23semidirect
392. #2403C23semidirect
393. #2403C23semidirect
394. #2403C23semidirect
395. #2403C23semidirect
396. #2403C23semidirect
397. #2403C23semidirect
398. #2403C23semidirect
399. #2403C23semidirect
400. C2×#400C23semidirect
401. C2×#400C23semidirect
402. C2×#399C23semidirect
403. C2×#399C23semidirect
404. C2×#398C23semidirect
405. C2×#397C23semidirect
406. C2×#397C23semidirect
407. C2×#397C23semidirect
408. C2×#397C23semidirect
409. C2×#396C23semidirect
410. C2×#394C23semidirect
411. C2×#394C23semidirect
412. C2×#394C23semidirect
413. C2×#394C23semidirect
414. C2×#394C23semidirect
415. C2×#394C23semidirect
416. C2×#394C23semidirect
417. C2×#394C23semidirect
418. C2×#393C23semidirect
421. C2×#392C23semidirect
422. C2×#392C23semidirect
423. C2×#392C23semidirect
424. C2×#392C23semidirect
425. C2×#392C23semidirect
426. C2×#392C23semidirect
427. C2×#392C23semidirect
428. C2×#392C23semidirect
429. C2×#392C23semidirect
430. C2×#392C23semidirect
431. C2×#392C23semidirect
432. C2×#392C23semidirect
433. #2342C23semidirect
434. #2342C23semidirect
435. #2321C23semidirect
436. #2315C23semidirect
437. #2312C23semidirect
438. #2312C23semidirect
439. #2311C23semidirect
440. #2308C23semidirect
441. C2×#391C23semidirect
442. C2×#390C23semidirect
443. C2×#390C23semidirect
444. C2×#390C23semidirect
445. C2×#390C23semidirect
446. C2×#390C23semidirect
447. C2×#390C23semidirect
448. C2×#389C23semidirect
449. C2×#388C23semidirect
450. C2×#388C23semidirect
451. C2×#388C23semidirect
452. C2×#388C23semidirect
453. C2×#388C23semidirect
458. C2×#386C23semidirect
459. C2×#386C23semidirect
460. C2×#386C23semidirect
461. C2×#386C23semidirect
462. C2×#386C23semidirect
463. C2×#386C23semidirect
464. C2×#386C23semidirect
465. C2×#386C23semidirect
466. C2×#386C23semidirect
467. C2×#386C23semidirect
468. C2×#386C23semidirect
469. C2×#386C23semidirect
470. C2×#386C23semidirect
471. C2×#385C23semidirect
472. C2×#385C23semidirect
473. C2×#385C23semidirect
474. C2×#382C23semidirect
475. #2280C23semidirect
476. #2280C23semidirect
477. C2×#381C23semidirect
478. C2×#381C23semidirect
479. C2×#381C23semidirect
480. C2×#380C23semidirect
481. C2×#380C23semidirect
482. C2×#380C23semidirect
483. C2×#380C23semidirect
484. C2×#380C23semidirect
485. C2×#380C23semidirect
486. C2×#380C23semidirect
492. C2×#379C23semidirect
493. C2×#379C23semidirect
494. C2×#379C23semidirect
495. #2273C23semidirect
496. C2×C4×C22⋊C4C23semidirect
497. C2×C4×C22⋊C4C23semidirect
498. C2×C4×C22⋊C4C23semidirect
499. C2×C4×C22⋊C4C23semidirect
500. C2×C4×C22⋊C4C23semidirect
501. C22×#95C23semidirect
539. C22×#41C24semidirect
543. C23×Q8C24semidirect
633. C23×D4C24semidirect
634. C23×D4C24semidirect
635. C23×D4C24semidirect
636. C23×D4C24semidirect
637. C23×D4C24semidirect
650. C24×C4C2×D4semidirect
651. C24×C4C2×D4semidirect
677. C24×C4C24semidirect
678. C24×C4C24semidirect
679. C24×C4C24semidirect
691. C2×#127C24semidirect
692. C2×#127C24semidirect
696. C2×#124C24semidirect
697. C2×#124C24semidirect
713. C2×#123C24semidirect
714. C2×#123C24semidirect
715. C2×#123C24semidirect
716. C2×#123C24semidirect
717. C2×#123C24semidirect
718. C2×#123C24semidirect
721. C2×C22⋊Q8C24semidirect
749. C2×#121C24semidirect
750. C2×#121C24semidirect
751. C2×#121C24semidirect
752. C2×#121C24semidirect
753. C2×#121C24semidirect
754. C2×#121C24semidirect
755. C2×#121C24semidirect
756. C2×#121C24semidirect
757. C2×#121C24semidirect
758. C2×#121C24semidirect
789. C2×#120C24semidirect
790. C2×#120C24semidirect
791. C2×#120C24semidirect
792. C2×#120C24semidirect
793. C2×#120C24semidirect
794. C2×#120C24semidirect
795. C2×#120C24semidirect
796. C2×#120C24semidirect
797. C2×#120C24semidirect
798. C2×#120C24semidirect
799. C2×#120C24semidirect
806. C2×C4×D4C24semidirect
807. C2×C4×D4C24semidirect
810. C2×#117C24semidirect
811. C2×#117C24semidirect
829. C22×C4⋊C4C24semidirect
830. C22×C4⋊C4C24semidirect
831. C22×C4⋊C4C24semidirect
832. C22×C4⋊C4C24semidirect
833. C22×C4⋊C4C24semidirect
834. C22×C4⋊C4C24semidirect
854. C22×C22⋊C4C2×D4semidirect
855. C22×C22⋊C4C2×D4semidirect
856. C22×C22⋊C4C2×D4semidirect
857. C22×C22⋊C4C2×D4semidirect
858. C22×C22⋊C4C2×D4semidirect
902. C22×C22⋊C4C24semidirect
903. C22×C22⋊C4C24semidirect
904. C22×C22⋊C4C24semidirect
905. C22×C22⋊C4C24semidirect
906. C22×C22⋊C4C24semidirect
907. C22×C22⋊C4C24semidirect
908. C22×C22⋊C4C24semidirect
909. C22×C22⋊C4C24semidirect
910. C22×C22⋊C4C24semidirect
911. C22×C22⋊C4C24semidirect
916. C22×C42C24semidirect
917. #400C24semidirect
918. #400C24semidirect
919. #399C24semidirect
920. #399C24semidirect
921. #398C24semidirect
922. #397C24semidirect
923. #397C24semidirect
924. #397C24semidirect
925. #397C24semidirect
926. #396C24semidirect
927. #394C24semidirect
928. #394C24semidirect
929. #394C24semidirect
930. #394C24semidirect
931. #394C24semidirect
932. #394C24semidirect
933. #394C24semidirect
934. #394C24semidirect
935. #393C24semidirect
938. #392C24semidirect
939. #392C24semidirect
940. #392C24semidirect
941. #392C24semidirect
942. #392C24semidirect
943. #392C24semidirect
944. #392C24semidirect
945. #392C24semidirect
946. #392C24semidirect
947. #392C24semidirect
948. #392C24semidirect
949. #391C24semidirect
950. #390C24semidirect
951. #390C24semidirect
952. #390C24semidirect
953. #390C24semidirect
954. #390C24semidirect
955. #390C24semidirect
956. #389C24semidirect
957. #388C24semidirect
958. #388C24semidirect
959. #388C24semidirect
960. #388C24semidirect
961. #388C24semidirect
966. #386C24semidirect
967. #386C24semidirect
968. #386C24semidirect
969. #386C24semidirect
970. #386C24semidirect
971. #386C24semidirect
972. #386C24semidirect
973. #386C24semidirect
974. #386C24semidirect
975. #386C24semidirect
976. #386C24semidirect
977. #385C24semidirect
978. #385C24semidirect
979. #385C24semidirect
980. #382C24semidirect
981. #381C24semidirect
982. #381C24semidirect
983. #381C24semidirect
984. #380C24semidirect
985. #380C24semidirect
986. #380C24semidirect
987. #380C24semidirect
988. #380C24semidirect
989. #380C24semidirect
990. #380C24semidirect
995. #379C24semidirect
996. #379C24semidirect
997. #379C24semidirect
998. C4×C22⋊C4C24semidirect
999. C4×C22⋊C4C24semidirect
1000. C4×C22⋊C4C24semidirect
1001. C4×C22⋊C4C24semidirect
1002. C4×C22⋊C4C24semidirect
1011. C2×#95C24semidirect
1337. C23×C4C22×D4semidirect
1338. C23×C4C22×D4semidirect
1501. C2×C22⋊C4C22×D4semidirect
1502. C2×C22⋊C4C22×D4semidirect
1503. C2×C22⋊C4C22×D4semidirect
1504. C2×C22⋊C4C22×D4semidirect
1688. C24#535semidirect
2108. C23C2×#535semidirect
2292. C2#7644775direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#5462
C23×#5342
#76447752
C2×#404852
C2×#380232
C2×#376452
C2×#369672
C2×#367212
C2×#367172
C2×#374402
C2×#374502
C2×#353902
C2×#353772
C2×#352502
C2×#350762
C2×#349842
C2×#349812
C2×#349802
C22×#24032
C2×#341762