Finite Group Databasebeta

← #7650110

Subgroups — #7650110

Order 512.

8829 conjugacy classes of subgroups.

The subgroup lattice has 2252 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3488C211yesmaximal, characteristic, complemented
2C2×#3492C211yesmaximal, characteristic, complemented
3#42986C212yesmaximal, complemented
4#42962C212yesmaximal, complemented
5#42885C212yesmaximal, complemented
6#42810C212yesmaximal, complemented
7#42480C212yesmaximal, complemented
8#42478C212yesmaximal, complemented
9#42434C212yesmaximal, complemented
10#42421C212yesmaximal, complemented
11#40517C214yesmaximal, complemented
12#40494C214yesmaximal, complemented
13#39950C212yesmaximal, complemented
14#39948C212yesmaximal, complemented
15#39887C212yesmaximal, complemented
16#39862C212yesmaximal, complemented
17#39362C212yesmaximal, complemented
18#39339C212yesmaximal, complemented
19#39169C212yesmaximal, complemented
20#39120C212yesmaximal, complemented
21#38358C214yesmaximal, complemented
22#37650C214yesmaximal, complemented
23#35565C211yesmaximal, characteristic, complemented
24#35564C211yesmaximal, characteristic, complemented
25#35563C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic, complemented
27#35513C211yesmaximal, characteristic, complemented
28#35512C211yesmaximal, characteristic, complemented
29#35264C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35223C211yesmaximal, characteristic, complemented
32#34936C211yesmaximal, characteristic, complemented
33#34736C211yesmaximal, characteristic, complemented
34C2×#2416C211yesmaximal, characteristic, complemented
35#34253C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2211yescharacteristic
37C23×#41C2211yescharacteristic
38#3492—216no—
39#3488—216no—
40C2×#554C2212yescomplemented
41C2×#554C2212yescomplemented
42C2×#553C2212yescomplemented
43C2×#553C2212yescomplemented
44C2×#552C2212yescomplemented
45C2×#552C2212yescomplemented
46C2×#550C2212yescomplemented
47C2×#548C2212yescomplemented
48C2×#547C2212yescomplemented
49C2×#547C2212yescomplemented
50C2×#546C2214yes—
51C2×#546C2212yescomplemented
52C2×D42C2214yes—
53C2×D42C2212yescomplemented
54C2×#544C2211yescharacteristic, complemented
55C2×#539C2214yescomplemented
56C2×#537C2211yescharacteristic
57C2×#537C2211yescharacteristic
58C2×#537C2212yescomplemented
59C2×#537C2211yescharacteristic, complemented
60C2×#535C2211yescharacteristic
61C2×#535C2212yescomplemented
62C2×#535C2214yescomplemented
63C2×#535C2211yescharacteristic, complemented
64C2×#532C2211yescharacteristic, complemented
65C2×#525C2211yescharacteristic
66C2×#525C2211yescharacteristic
67C2×#525C2214yescomplemented
68C2×#525C2211yescharacteristic, complemented
69C2×#525C2212yescomplemented
70C2×#525C2211yescharacteristic, complemented
71C2×#525C2211yescharacteristic, complemented
72C2×#525C2211yescharacteristic, complemented
73C22×#121C2211yescharacteristic
74C22×#121C2212yescomplemented
75C22×#121C2212yescomplemented
76C22×#121C2211yescharacteristic, complemented
77C2×#520C2211yescharacteristic
78C2×#520C2211yescharacteristic, complemented
79C22×C4×D4C2211yescharacteristic, complemented
80C23×C4⋊C4C2211yescharacteristic, complemented
81#2861C2212yescomplemented
82#2858C2212yescomplemented
83#2848C2212yescomplemented
84#2847C2214yescomplemented
85#2847C2212yescomplemented
86#2820C2214yescomplemented
87#2818C2214yescomplemented
88#2816C2214yescomplemented
89#2813C2214yescomplemented
90#2720C2214yescomplemented
91#2718C2214yescomplemented
92#2711C2214yescomplemented
93#2711C2214yescomplemented
94#2711C2214yescomplemented
95#2706C2214yescomplemented
96#2706C2214yescomplemented
97#2703C2214yescomplemented
98#2696C2214yescomplemented
99#2692C2214yescomplemented
100#2692C2214yescomplemented
101#2685C2214yescomplemented
102#2685C2214yescomplemented
103#2685C2214yescomplemented
104#2678C2214yescomplemented
105#2678C2214yescomplemented
106#2678C2214yescomplemented
107#2678C2214yescomplemented
108#2678C2214yescomplemented
109#2678C2214yescomplemented
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2676C2214yescomplemented
113#2676C2214yescomplemented
114#2676C2214yescomplemented
115#2676C2214yescomplemented
116#2673C2214yescomplemented
117#2673C2214yescomplemented
118#2673C2214yescomplemented
119#2669C2214yescomplemented
120#2669C2214yescomplemented
121#2669C2214yescomplemented
122#2662C2214yescomplemented
123#2661C2214yescomplemented
124#2641C2214yescomplemented
125#2641C2212yescomplemented
126#2640C2212yescomplemented
127#2636C2214yescomplemented
128#2635C2214yescomplemented
129#2633C2214yescomplemented
130#2631C2214yescomplemented
131#2626C2214yescomplemented
132#2620C2214yescomplemented
133#2619C2214yescomplemented
134#2618C2214yescomplemented
135#2616C2212yescomplemented
136#2615C2214yescomplemented
137#2615C2212yescomplemented
138#2613C2214yescomplemented
139#2610C2214yescomplemented
140#2603C2214yescomplemented
141#2598C2214yescomplemented
142#2566C2214yescomplemented
143#2563C2212yescomplemented
144#2562C2212yescomplemented
145#2562C2212yescomplemented
146#2547C2212yescomplemented
147#2543C2214yescomplemented
148#2542C2211yescharacteristic, complemented
149#2542C2211yescharacteristic, complemented
150#2541C2214yescomplemented
151#2541C2212yescomplemented
152#2541C2211yescharacteristic, complemented
153#2541C2211yescharacteristic, complemented
154#2541C2212yescomplemented
155#2541C2212yescomplemented
156#2541C2212yescomplemented
157#2540C2212yescomplemented
158#2540C2212yescomplemented
159#2540C2211yescharacteristic, complemented
160#2540C2211yescharacteristic, complemented
161#2540C2211yescharacteristic, complemented
162#2540C2211yescharacteristic, complemented
163#2540C2212yescomplemented
164#2540C2212yescomplemented
165#2539C2212yescomplemented
166#2539C2214yescomplemented
167#2539C2212yescomplemented
168#2535C2214yescomplemented
169#2534C2214yescomplemented
170#2501C2212yescomplemented
171#2492C2212yescomplemented
172#2491C2212yescomplemented
173#2491C2212yescomplemented
174#2491C2212yescomplemented
175#2490C2212yescomplemented
176#2490C2212yescomplemented
177#2490C2212yescomplemented
178#2489C2212yescomplemented
179#2488C2214yescomplemented
180#2472C2214yescomplemented
181#2472C2214yescomplemented
182#2472C2214yescomplemented
183#2435C2214yescomplemented
184#2435C2212yescomplemented
185#2433C2212yescomplemented
186#2433C2214yescomplemented
187#2433C2212yescomplemented
188#2432C2212yescomplemented
189#2431C2212yescomplemented
190#2431C2214yescomplemented
191#2430C2214yescomplemented
192#2429C2212yescomplemented
193#2428C2212yescomplemented
194#2428C2212yescomplemented
195#2428C2212yescomplemented
196#2427C2212yescomplemented
197#2426C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2417C2212yescomplemented
201#2417C2212yescomplemented
202#2417C2212yescomplemented
203#2417C2212yescomplemented
204#2417C2212yescomplemented
205#2416C2212yescomplemented
206#2416C2212yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2214yescomplemented
211#2416C2212yescomplemented
212#2416C2212yescomplemented
213#2416C2212yescomplemented
214#2416C2212yescomplemented
215#2416C2212yescomplemented
216#2416C2212yescomplemented
217#2416C2212yescomplemented
218#2416C2212yescomplemented
219#2416C2212yescomplemented
220#2416C2212yescomplemented
221#2415C2212yescomplemented
222#2414C2214yescomplemented
223#2414C2212yescomplemented
224#2414C2212yescomplemented
225#2414C2212yescomplemented
226#2411C2214yescomplemented
227#2410C2214yescomplemented
228#2410C2214yescomplemented
229#2410C2214yescomplemented
230#2409C2211yescharacteristic, complemented
231#2409C2212yescomplemented
232#2409C2211yescharacteristic, complemented
233#2408C2212yescomplemented
234#2408C2212yescomplemented
235#2408C2214yescomplemented
236#2408C2214yescomplemented
237#2408C2212yescomplemented
238#2408C2211yescharacteristic, complemented
239#2408C2211yescharacteristic, complemented
240#2408C2212yescomplemented
241#2408C2212yescomplemented
242#2408C2212yescomplemented
243#2408C2212yescomplemented
244#2407C2211yescharacteristic, complemented
245#2407C2212yescomplemented
246#2407C2212yescomplemented
247#2407C2212yescomplemented
248#2407C2211yescharacteristic, complemented
249#2407C2212yescomplemented
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2211yescharacteristic, complemented
253#2407C2211yescharacteristic, complemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2406C2212yescomplemented
257#2405C2212yescomplemented
258#2405C2214yescomplemented
259#2404C2214yescomplemented
260#2404C2212yescomplemented
261#2403C2212yescomplemented
262#2403C2214yescomplemented
263#2397C2212yescomplemented
264#2397C2212yescomplemented
265C2×#396C2212yescomplemented
266#2388C2212yescomplemented
267#2388C2212yescomplemented
268C2×#394C2212yescomplemented
269#2353C2214yescomplemented
270#2352C2214yescomplemented
271#2347C2212yescomplemented
272#2346C2212yescomplemented
273#2345C2212yescomplemented
274#2344C2212yescomplemented
275#2328C2214yescomplemented
276#2324C2214yescomplemented
277#2321C2214yescomplemented
278#2320C2212yescomplemented
279#2319C2212yescomplemented
280#2316C2211yescharacteristic, complemented
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic, complemented
283#2311C2211yescharacteristic, complemented
284#2311C2211yescharacteristic, complemented
285#2309C2211yescharacteristic, complemented
286C4×#127C2212yescomplemented
287C4×#127C2212yescomplemented
288C4×#120C2212yescomplemented
289C4×#120C2212yescomplemented
290#2297C2211yescharacteristic
291#2297C2211yescharacteristic, complemented
292#2295C2212yescomplemented
293#2293C2212yescomplemented
294C2×#390C2211yescharacteristic, complemented
295C2×#389C2211yescharacteristic, complemented
296C2×#386C2212yescomplemented
297#2280C2211yescharacteristic, complemented
298C2×#380C2211yescharacteristic, complemented
299#2274C2211yescharacteristic, complemented
300C4×#117C2211yescharacteristic, complemented
301C2×H(5,𝔽2)—28no—
302C2×H(5,𝔽2)—44no—
303C2×H(5,𝔽2)—44no—
304C22×#41—28no—
305C22×#41—44no—
306C22×#41—44no—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C22×#41C2311yescharacteristic
311C22×#41C2312yes—
312C22×#41C2312yes—
313C22×#41C2311yescharacteristic
314C22×#41C2311yescharacteristic
315C22×#41C2312yes—
316C22×#41C2312yes—
317C22×#41C2314yes—
318C23×Q8C2311yescharacteristic
319C23×D4C2311yescharacteristic
320C23×D4C2312yes—
321C23×D4C2311yescharacteristic
322C23×D4C2314yes—
323C23×D4C2312yes—
324C23×D4C2312yes—
325C23×D4C2311yescharacteristic
326C23×D4C2314yes—
327C23×D4C2312yes—
328C23×D4C2312yes—
329C24×C4C2311yescharacteristic
330C24×C4C2311yescharacteristic
331C24×C4C2312yes—
332C24×C4C2312yes—
333#554—216no—
334#554—216no—
335#553—216no—
336#553—216no—
337#552—216no—
338#552—216no—
339#550—216no—
340#548—216no—
341#547—216no—
342#547—216no—
343#546—232no—
344#546—216no—
345D42—232no—
346D42—216no—
347#544—28no—
348#539—232no—
349#537—28no—
350#537—28no—
351#537—216no—
352#537—44no—
353#535—28no—
354#535—216no—
355#535—44no—
356#535—416no—
357#532—44no—
358C2×C4⋊Q8C2312yes—
359C2×C4⋊Q8C2312yes—
360C2×C4⋊Q8C2311yescharacteristic
361C2×#127C2312yes—
362C2×#127C2314yes—
363C2×#127C2312yes—
364C2×#127C2312yes—
365C2×#127C2314yes—
366C2×#127C2314yes—
367C2×#127C2311yescharacteristic
368C2×#127C2312yes—
369C2×#126C2314yes—
370C2×#126C2314yes—
371C2×#125C2312yes—
372C2×#125C2314yes—
373C2×#125C2314yes—
374C2×#125C2312yes—
375C2×#124C2314yes—
376C2×#124C2312yes—
377C2×#124C2314yes—
378C2×#124C2311yescharacteristic
379C2×#124C2311yescharacteristic
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#124C2314yes—
383#525—28no—
384#525—232no—
385#525—28no—
386#525—28no—
387#525—216no—
388#525—44no—
389#525—44no—
390#525—44no—
391C2×#123C2314yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×#121—28no—
426C2×#121—216no—
427C2×#121—44no—
428C2×#121—48no—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2312yes—
446C2×#121C2314yes—
447C2×#121C2311yescharacteristic
448C2×#121C2314yes—
449C2×#121C2312yes—
450C2×#121C2311yescharacteristic
451C2×#121C2311yescharacteristic
452C2×#121C2312yes—
453C2×#121C2314yes—
454C2×#121C2311yescharacteristic
455C2×#121C2312yes—
456C2×#121C2314yes—
457C2×#121C2311yescharacteristic
458C2×#121C2314yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2311yescharacteristic
464C2×#121C2311yescharacteristic
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2311yescharacteristic
469C2×#121C2311yescharacteristic
470C2×#121C2314yes—
471C2×#121C2314yes—
472C2×#121C2314yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×#121C2314yes—
476C2×#121C2314yes—
477C2×#121C2314yes—
478C2×#121C2314yes—
479C2×#120C2312yes—
480C2×#120C2312yes—
481C2×#120C2312yes—
482C2×#120C2312yes—
483C2×#120C2314yes—
484C2×#120C2314yes—
485C2×#120C2314yes—
486C2×#120C2314yes—
487C2×#120C2314yes—
488C2×#120C2312yes—
489C2×#120C2312yes—
490C2×#120C2314yes—
491C2×#120C2314yes—
492C2×#120C2312yes—
493C2×#120C2312yes—
494C2×#120C2314yes—
495C2×#120C2314yes—
496C2×#120C2314yes—
497#520—28no—
498#520D4116yescomplemented
499C2×C4×Q8C2312yes—
500C2×C4×Q8C2312yes—
501C2×C4×D4—44no—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2314yes—
507C2×C4×D4C2314yes—
508C2×C4×D4C2314yes—
509C2×C4×D4C2314yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2314yes—
513C2×C4×D4C2312yes—
514C2×C4×D4C2311yescharacteristic
515C2×C4×D4C2311yescharacteristic
516C2×C4×D4C2312yes—
517C2×C4×D4C2312yes—
518C2×C4×D4C2312yes—
519C2×C4×D4C2312yes—
520C2×C4×D4C2312yes—
521C2×C4×D4C2311yescharacteristic
522C2×C4×D4C2311yescharacteristic
523C2×C4×D4C2312yes—
524C2×C4×D4C2312yes—
525C2×C4×D4C2311yescharacteristic
526C2×C4×D4C2311yescharacteristic
527C2×C4×D4C2312yes—
528C2×C4×D4C2311yescharacteristic
529C2×C4×D4C2311yescharacteristic
530C2×C4×D4C2314yes—
531C2×C4×D4C2312yes—
532C2×#117C2311yescharacteristic
533C2×#117C2311yescharacteristic
534C2×#117C2311yescharacteristic
535C2×#117C2314yes—
536C2×#117C2312yes—
537C2×#117C2314yes—
538C2×#117C2311yescharacteristic
539C2×#117C2312yes—
540C22×C4⋊C4—28no—
541C22×C4⋊C4C2311yescharacteristic
542C22×C4⋊C4C2311yescharacteristic
543C22×C4⋊C4C2312yes—
544C22×C4⋊C4C2312yes—
545C22×C4⋊C4C2312yes—
546C22×C4⋊C4C2312yes—
547C22×C4⋊C4C2312yes—
548C22×C4⋊C4C2312yes—
549C22×C4⋊C4C2312yes—
550C22×C4⋊C4C2311yescharacteristic
551C22×C4⋊C4C2311yescharacteristic
552C22×C4⋊C4C2312yes—
553C22×C22⋊C4C2314yes—
554C22×C22⋊C4C2312yes—
555C22×C22⋊C4C2311yescharacteristic
556C22×C22⋊C4C2312yes—
557C22×C22⋊C4C2312yes—
558C22×C22⋊C4C2312yes—
559C22×C22⋊C4C2311yescharacteristic
560C22×C22⋊C4C2312yes—
561C22×C42C2311yescharacteristic
562#400C2314yes—
563#400C2314yes—
564#399C2312yes—
565#399C2314yes—
566#399C2312yes—
567#399C2314yes—
568#399C2312yes—
569#399C2312yes—
570#399C2312yes—
571#399C2312yes—
572#399C2312yes—
573#399C2312yes—
574#398C2314yes—
575#398C2314yes—
576#398C2314yes—
577#397C2314yes—
578#397C2314yes—
579#397C2314yes—
580#397C2314yes—
581#397C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#395C2312yes—
595#395C2314yes—
596#395C2312yes—
597#394C2312yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2312yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2312yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2312yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2312yes—
629#394C2312yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#393C2314yes—
634#393C2314yes—
635#393C2314yes—
636#393C2312yes—
637#393C2314yes—
638#393C2314yes—
639#393C2312yes—
640#392C2312yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2312yes—
650#392C2314yes—
651#392C2312yes—
652#392C2312yes—
653#392C2314yes—
654#392C2314yes—
655#392C2314yes—
656#392C2314yes—
657#392C2314yes—
658#392C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2314yes—
662#392C2314yes—
663#392C2312yes—
664#392C2314yes—
665#392C2314yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2314yes—
673#392C2314yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2311yescharacteristic
679#391C2311yescharacteristic
680#391C2314yes—
681#391C2311yescharacteristic
682#391C2311yescharacteristic
683#390C2312yes—
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2314yes—
696#390C2312yes—
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2314yes—
701#390C2314yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2311yescharacteristic
707#390C2314yes—
708#390C2314yes—
709#390C2314yes—
710#390C2314yes—
711#390C2311yescharacteristic
712#390C2312yes—
713#390C2314yes—
714#390C2314yes—
715#390C2314yes—
716#390C2314yes—
717#390C2312yes—
718#390C2311yescharacteristic
719#390C2314yes—
720#390C2311yescharacteristic
721#390C2312yes—
722#390C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2314yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2312yes—
757#386C2314yes—
758#386C2314yes—
759#386C2312yes—
760#386C2314yes—
761#386C2312yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2312yes—
773#386C2314yes—
774#386C2312yes—
775#386C2312yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#386C2314yes—
781#386C2312yes—
782#386C2312yes—
783#386C2312yes—
784#386C2312yes—
785#385C2312yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2312yes—
793#385C2314yes—
794#385C2312yes—
795#385C2312yes—
796#385C2312yes—
797#385C2312yes—
798#384C2312yes—
799#384C2312yes—
800#383C2314yes—
801#382C2314yes—
802#382C2314yes—
803#381C2314yes—
804#381C2312yes—
805#380C2312yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2311yescharacteristic
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2314yes—
819#380C2314yes—
820#380C2314yes—
821#380C2312yes—
822#380C2314yes—
823#380C2312yes—
824#380C2314yes—
825#380C2311yescharacteristic
826#379C2314yes—
827#379C2314yes—
828#379C2314yes—
829#379C2312yes—
830#379C2314yes—
831#379C2314yes—
832#379C2314yes—
833#379C2312yes—
834#379C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2312yes—
843C4×C4⋊C4C2311yescharacteristic
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2312yes—
851C4×C22⋊C4C2312yes—
852C4×C22⋊C4C2312yes—
853C4×C22⋊C4C2312yes—
854#376C2312yes—
855#376C2314yes—
856C2×#95C2312yes—
857C2×#95C2312yes—
858C43C2312yes—
859C25C2411yescharacteristic
860C25C2411yescharacteristic
861C25C2412yes—
862C25C2412yes—
863C25C2414yes—
864H(5,𝔽2)—464no—
865C2×#41—28no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—24no—
869C2×#41—24no—
870C2×#41—28no—
871C2×#41—24no—
872C2×#41—28no—
873C2×#41—24no—
874C2×#41—216no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—24no—
879C2×#41—24no—
880C2×#41—24no—
881C2×#41—24no—
882C2×#41—24no—
883C2×#41—44no—
884C2×#41—44no—
885C2×#41—44no—
886C2×#41—44no—
887C2×#41—48no—
888C2×#41—42no—
889C2×#41—42no—
890C2×#41—42no—
891C2×#41—42no—
892C2×#41—44no—
893C2×#41—44no—
894C2×#41—44no—
895C2×#41—44no—
896C2×#41—464no—
897C2×#41—84no—
898C2×#41C2×D418yes—
899C22×Q8—24no—
900C22×Q8—42no—
901C22×Q8—42no—
902C22×Q8C2411yescharacteristic
903C22×Q8C2411yescharacteristic
904C22×Q8C2411yescharacteristic
905C22×Q8C2411yescharacteristic
906C22×Q8C2414yes—
907C22×Q8C2412yes—
908C22×D4—28no—
909C22×D4—24no—
910C22×D4—216no—
911C22×D4—28no—
912C22×D4—24no—
913C22×D4—28no—
914C22×D4—24no—
915C22×D4—28no—
916C22×D4—216no—
917C22×D4—24no—
918C22×D4—24no—
919C22×D4—42no—
920C22×D4—42no—
921C22×D4—44no—
922C22×D4—44no—
923C22×D4—44no—
924C22×D4—44no—
925C22×D4—42no—
926C22×D4—44no—
927C22×D4—42no—
928C22×D4—44no—
929C22×D4—44no—
930C22×D4—48no—
931C22×D4—48no—
932C22×D4—44no—
933C22×D4—44no—
934C22×D4—48no—
935C22×D4—44no—
936C22×D4—82no—
937C22×D4—84no—
938C22×D4C2412yes—
939C22×D4C2411yescharacteristic
940C22×D4C2412yes—
941C22×D4C2412yes—
942C22×D4C2412yes—
943C22×D4C2411yescharacteristic
944C22×D4C2412yes—
945C22×D4C2411yescharacteristic
946C22×D4C2412yes—
947C22×D4C2412yes—
948C22×D4C2411yescharacteristic
949C22×D4C2411yescharacteristic
950C22×D4C2412yes—
951C22×D4C2414yes—
952C22×D4C2412yes—
953C22×D4C2412yes—
954C22×D4C2412yes—
955C22×D4C2411yescharacteristic
956C22×D4C2411yescharacteristic
957C22×D4C2412yes—
958C22×D4C2412yes—
959C22×D4C2412yes—
960C22×D4C2412yes—
961C22×D4C2414yes—
962C22×D4C2412yes—
963C22×D4C2412yes—
964C22×D4C2412yes—
965C22×D4C2414yes—
966C22×D4C2412yes—
967C22×D4C2412yes—
968C22×D4C2414yes—
969C22×D4C2414yes—
970C22×D4C2414yes—
971C22×D4C2414yes—
972C22×D4C2414yes—
973C22×D4C2414yes—
974C22×D4C2414yes—
975C22×D4C2412yes—
976C22×D4C2412yes—
977C22×D4C2412yes—
978C22×D4C2414yes—
979C22×D4C2414yes—
980C22×D4C2414yes—
981C22×D4C2411yescharacteristic
982C23×C4—24no—
983C23×C4—28no—
984C23×C4—24no—
985C23×C4—24no—
986C23×C4—24no—
987C23×C4—24no—
988C23×C4—24no—
989C23×C4—28no—
990C23×C4—44no—
991C23×C4—44no—
992C23×C4—44no—
993C23×C4—82no—
994C23×C4C2411yescharacteristic
995C23×C4C2411yescharacteristic
996C23×C4C2411yescharacteristic
997C23×C4C2411yescharacteristic
998C23×C4C2411yescharacteristic
999C23×C4C2411yescharacteristic
1000C23×C4C2412yes—
1001C23×C4C2411yescharacteristic
1002C23×C4C2411yescharacteristic
1003C23×C4C2412yes—
1004C23×C4C2411yescharacteristic
1005C23×C4C2411yescharacteristic
1006C23×C4C2412yes—
1007C23×C4C2411yescharacteristic
1008C23×C4C2414yes—
1009C23×C4C2412yes—
1010C23×C4C2411yescharacteristic
1011C23×C4C2412yes—
1012C23×C4C2412yes—
1013C23×C4C2412yes—
1014C23×C4C2414yes—
1015C23×C4C2414yes—
1016C23×C4C2412yes—
1017C23×C4C2412yes—
1018C23×C4C2414yes—
1019C23×C4C2412yes—
1020C23×C4C2414yes—
1021C23×C4C2411yescharacteristic
1022C4⋊Q8—28no—
1023C4⋊Q8—28no—
1024C4⋊Q8—42no—
1025#127—28no—
1026#127—216no—
1027#127—28no—
1028#127—42no—
1029#127—44no—
1030#127—44no—
1031#127—48no—
1032#127—48no—
1033#126—216no—
1034#126—216no—
1035#125—216no—
1036#125—28no—
1037#125—216no—
1038#125—28no—
1039#124—216no—
1040#124—28no—
1041#124—48no—
1042#124—42no—
1043#124—42no—
1044#124—44no—
1045#124—48no—
1046#124—84no—
1047#123—28no—
1048#123—216no—
1049#123—216no—
1050#123—28no—
1051#123—28no—
1052#123—216no—
1053#123—216no—
1054#123—216no—
1055#123—44no—
1056#123—44no—
1057#123—44no—
1058C22⋊Q8—24no—
1059C22⋊Q8—24no—
1060C22⋊Q8—28no—
1061C22⋊Q8—28no—
1062C22⋊Q8—216no—
1063C22⋊Q8—24no—
1064C22⋊Q8—28no—
1065C22⋊Q8—24no—
1066C22⋊Q8—24no—
1067C22⋊Q8—216no—
1068C22⋊Q8—24no—
1069C22⋊Q8—28no—
1070C22⋊Q8—216no—
1071C22⋊Q8—216no—
1072C22⋊Q8—216no—
1073C22⋊Q8—42no—
1074C22⋊Q8—42no—
1075C22⋊Q8—42no—
1076C22⋊Q8—42no—
1077C22⋊Q8—42no—
1078C22⋊Q8—42no—
1079C22⋊Q8—44no—
1080C22⋊Q8—44no—
1081#121—216no—
1082#121—24no—
1083#121—24no—
1084#121—28no—
1085#121—216no—
1086#121—216no—
1087#121—216no—
1088#121—216no—
1089#121—28no—
1090#121—28no—
1091#121—24no—
1092#121—28no—
1093#121—28no—
1094#121—28no—
1095#121—28no—
1096#121—216no—
1097#121—28no—
1098#121—216no—
1099#121—24no—
1100#121—28no—
1101#121—24no—
1102#121—24no—
1103#121—28no—
1104#121—216no—
1105#121—216no—
1106#121—48no—
1107#121—48no—
1108#121—48no—
1109#121—48no—
1110#121—44no—
1111#121—44no—
1112#121—44no—
1113#121—44no—
1114#121—42no—
1115#121—42no—
1116#121—42no—
1117#121—42no—
1118#121—42no—
1119#121—42no—
1120#121—44no—
1121#121—44no—
1122#121—44no—
1123#121—44no—
1124#121—48no—
1125#121—44no—
1126#121—44no—
1127#121—48no—
1128#121—48no—
1129#121—84no—
1130#121—84no—
1131#120—28no—
1132#120—28no—
1133#120—28no—
1134#120—28no—
1135#120—216no—
1136#120—216no—
1137#120—216no—
1138#120—216no—
1139#120—48no—
1140#120—44no—
1141#120—44no—
1142#120—44no—
1143#120—48no—
1144#120—48no—
1145#120—44no—
1146#120—48no—
1147#120—48no—
1148#120—84no—
1149C4×Q8—28no—
1150C4×Q8C2×D4116yescomplemented
1151C4×D4—216no—
1152C4×D4—28no—
1153C4×D4—216no—
1154C4×D4—28no—
1155C4×D4—28no—
1156C4×D4—216no—
1157C4×D4—28no—
1158C4×D4—216no—
1159C4×D4—28no—
1160C4×D4—28no—
1161C4×D4—216no—
1162C4×D4—28no—
1163C4×D4—42no—
1164C4×D4—42no—
1165C4×D4—42no—
1166C4×D4—42no—
1167C4×D4—42no—
1168C4×D4—42no—
1169C4×D4—42no—
1170C4×D4—42no—
1171C4×D4—44no—
1172C4×D4—44no—
1173C4×D4—44no—
1174C4×D4—44no—
1175C4×D4—44no—
1176C4×D4—44no—
1177C4×D4—44no—
1178C4×D4—44no—
1179C4×D4C2×D4132yes—
1180C4×D4C2×D4116yescomplemented
1181#117—24no—
1182#117—24no—
1183#117—24no—
1184#117—28no—
1185#117—216no—
1186#117—48no—
1187#117C2×D418yes—
1188#117C2×D4116yescomplemented
1189C2×C4⋊C4—24no—
1190C2×C4⋊C4—28no—
1191C2×C4⋊C4—24no—
1192C2×C4⋊C4—28no—
1193C2×C4⋊C4—28no—
1194C2×C4⋊C4—28no—
1195C2×C4⋊C4—28no—
1196C2×C4⋊C4—28no—
1197C2×C4⋊C4—44no—
1198C2×C4⋊C4—42no—
1199C2×C4⋊C4C2×D418yes—
1200C2×C4⋊C4C2×D4116yescomplemented
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2414yes—
1204C2×C4⋊C4C2414yes—
1205C2×C4⋊C4C2411yescharacteristic
1206C2×C4⋊C4C2414yes—
1207C2×C4⋊C4C2414yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2411yescharacteristic
1211C2×C4⋊C4C2411yescharacteristic
1212C2×C4⋊C4C2411yescharacteristic
1213C2×C4⋊C4C2411yescharacteristic
1214C2×C4⋊C4C2411yescharacteristic
1215C2×C4⋊C4C2414yes—
1216C2×C4⋊C4C2414yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2414yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2414yes—
1223C2×C4⋊C4C2414yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2411yescharacteristic
1227C2×C4⋊C4C2411yescharacteristic
1228C2×C4⋊C4C2411yescharacteristic
1229C2×C4⋊C4C2411yescharacteristic
1230C2×C4⋊C4C2414yes—
1231C2×C4⋊C4C2414yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2414yes—
1241C2×C4⋊C4C2414yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2414yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C22⋊C4—28no—
1248C2×C22⋊C4—216no—
1249C2×C22⋊C4—44no—
1250C2×C22⋊C4—44no—
1251C2×C22⋊C4—42no—
1252C2×C22⋊C4—42no—
1253C2×C22⋊C4—44no—
1254C2×C22⋊C4—82no—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2412yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2412yes—
1280C2×C22⋊C4C2412yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2411yescharacteristic
1285C2×C22⋊C4C2411yescharacteristic
1286C2×C22⋊C4C2411yescharacteristic
1287C2×C22⋊C4C2411yescharacteristic
1288C2×C22⋊C4C2411yescharacteristic
1289C2×C22⋊C4C2411yescharacteristic
1290C2×C22⋊C4C2411yescharacteristic
1291C2×C22⋊C4C2411yescharacteristic
1292C2×C22⋊C4C2414yes—
1293C2×C22⋊C4C2414yes—
1294C2×C22⋊C4C2414yes—
1295C2×C22⋊C4C2414yes—
1296C2×C22⋊C4C2414yes—
1297C2×C22⋊C4C2414yes—
1298C2×C22⋊C4C2414yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2414yes—
1317C2×C22⋊C4C2414yes—
1318C2×C22⋊C4C2414yes—
1319C2×C22⋊C4C2414yes—
1320C2×C22⋊C4C2414yes—
1321C2×C22⋊C4C2414yes—
1322C2×C22⋊C4C2414yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2414yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2414yes—
1328C2×C22⋊C4C2414yes—
1329C2×C22⋊C4C2414yes—
1330C2×C22⋊C4C2414yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2414yes—
1333C2×C22⋊C4C2414yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2414yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2414yes—
1341C2×C42—24no—
1342C2×C42C2414yes—
1343C2×C42C2412yes—
1344C2×C42C2412yes—
1345C2×C42C2412yes—
1346C2×C42C2412yes—
1347C2×C42C2411yescharacteristic
1348C2×C42C2411yescharacteristic
1349C2×C42C2411yescharacteristic
1350C2×C42C2411yescharacteristic
1351C2×C42C2414yes—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2414yes—
1355C2×C42C2412yes—
1356C2×C42C2414yes—
1357C2×C42C2412yes—
1358#95C2414yes—
1359#95C2414yes—
1360#95C2414yes—
1361#95C2414yes—
1362#95C2412yes—
1363#95C2412yes—
1364#95C2412yes—
1365#95C2412yes—
1366#95C2412yes—
1367#95C2414yes—
1368#95C2414yes—
1369#95C2414yes—
1370#95C2414yes—
1371#95C2412yes—
1372#95C2412yes—
1373#95C2412yes—
1374#95C2412yes—
1375#95C2412yes—
1376#95C2412yes—
1377#95C2414yes—
1378#95C2412yes—
1379#95C2412yes—
1380#95C2412yes—
1381#95C2412yes—
1382#95C2412yes—
1383#95C2414yes—
1384#95C2414yes—
1385#95C2414yes—
1386#95C2414yes—
1387#95C2414yes—
1388#95C2414yes—
1389#95C2414yes—
1390C24—22no—
1391C24—22no—
1392C24—22no—
1393C24—22no—
1394C24—22no—
1395C24—22no—
1396C24—24no—
1397C24—22no—
1398C24—22no—
1399C24—22no—
1400C24—28no—
1401C24—24no—
1402C24—24no—
1403C24—24no—
1404C24—24no—
1405C24—41no—
1406C24—41no—
1407C24—42no—
1408C24—42no—
1409C24—41no—
1410C24—41no—
1411C24—42no—
1412C24—41no—
1413C24—44no—
1414C24—44no—
1415C24—42no—
1416C24—42no—
1417C24—42no—
1418C24—42no—
1419C24—42no—
1420C24—42no—
1421C24—44no—
1422C24—44no—
1423C24—44no—
1424C24—44no—
1425C24C2514yes—
1426C24C2512yes—
1427C24C2512yes—
1428C24C2511yescharacteristic
1429C24C2512yes—
1430C24C2512yes—
1431C24C2511yescharacteristic
1432C24C2511yescharacteristic
1433C24C2511yescharacteristic
1434C24C2511yescharacteristic
1435#41—232no—
1436#41—432no—
1437#41—432no—
1438#41—432no—
1439#41—416no—
1440#41—416no—
1441#41—432no—
1442#41—416no—
1443#41—416no—
1444#41—416no—
1445#41—832no—
1446C2×Q8—22no—
1447C2×Q8—22no—
1448C2×Q8—24no—
1449C2×Q8—22no—
1450C2×Q8—28no—
1451C2×Q8—22no—
1452C2×Q8—22no—
1453C2×Q8—22no—
1454C2×Q8—22no—
1455C2×Q8—22no—
1456C2×Q8—22no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—42no—
1460C2×Q8—42no—
1461C2×Q8—44no—
1462C2×Q8—44no—
1463C2×Q8—416no—
1464C2×Q8C22×D414yes—
1465C2×D4—24no—
1466C2×D4—24no—
1467C2×D4—24no—
1468C2×D4—24no—
1469C2×D4—24no—
1470C2×D4—24no—
1471C2×D4—24no—
1472C2×D4—24no—
1473C2×D4—28no—
1474C2×D4—24no—
1475C2×D4—24no—
1476C2×D4—24no—
1477C2×D4—24no—
1478C2×D4—24no—
1479C2×D4—28no—
1480C2×D4—22no—
1481C2×D4—22no—
1482C2×D4—24no—
1483C2×D4—24no—
1484C2×D4—24no—
1485C2×D4—24no—
1486C2×D4—24no—
1487C2×D4—24no—
1488C2×D4—22no—
1489C2×D4—24no—
1490C2×D4—22no—
1491C2×D4—28no—
1492C2×D4—24no—
1493C2×D4—24no—
1494C2×D4—24no—
1495C2×D4—28no—
1496C2×D4—24no—
1497C2×D4—24no—
1498C2×D4—28no—
1499C2×D4—24no—
1500C2×D4—22no—
1501C2×D4—28no—
1502C2×D4—24no—
1503C2×D4—24no—
1504C2×D4—24no—
1505C2×D4—22no—
1506C2×D4—28no—
1507C2×D4—24no—
1508C2×D4—24no—
1509C2×D4—22no—
1510C2×D4—28no—
1511C2×D4—24no—
1512C2×D4—28no—
1513C2×D4—28no—
1514C2×D4—28no—
1515C2×D4—22no—
1516C2×D4—22no—
1517C2×D4—22no—
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—24no—
1521C2×D4—24no—
1522C2×D4—24no—
1523C2×D4—22no—
1524C2×D4—22no—
1525C2×D4—22no—
1526C2×D4—24no—
1527C2×D4—22no—
1528C2×D4—24no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—44no—
1534C2×D4—44no—
1535C2×D4—44no—
1536C2×D4—44no—
1537C2×D4—41no—
1538C2×D4—41no—
1539C2×D4—42no—
1540C2×D4—42no—
1541C2×D4—42no—
1542C2×D4—42no—
1543C2×D4—42no—
1544C2×D4—42no—
1545C2×D4—42no—
1546C2×D4—44no—
1547C2×D4—42no—
1548C2×D4—42no—
1549C2×D4—42no—
1550C2×D4—42no—
1551C2×D4—432no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—44no—
1561C2×D4—42no—
1562C2×D4—44no—
1563C2×D4—44no—
1564C2×D4—44no—
1565C2×D4—44no—
1566C2×D4—44no—
1567C2×D4—44no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—44no—
1572C2×D4—44no—
1573C2×D4—44no—
1574C2×D4—44no—
1575C2×D4—42no—
1576C2×D4—44no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—44no—
1580C2×D4—42no—
1581C2×D4—44no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—44no—
1587C2×D4—44no—
1588C2×D4—44no—
1589C2×D4—44no—
1590C2×D4—44no—
1591C2×D4—44no—
1592C2×D4—44no—
1593C2×D4—44no—
1594C2×D4—44no—
1595C2×D4—432no—
1596C2×D4—416no—
1597C2×D4—464no—
1598C2×D4—432no—
1599C2×D4—416no—
1600C2×D4—416no—
1601C2×D4—816no—
1602C2×D4—832no—
1603C2×D4—816no—
1604C2×D4C22×D418yes—
1605C2×D4C22×D414yes—
1606C2×D4H(5,𝔽2)14yescomplemented
1607C22×C4—24no—
1608C22×C4—24no—
1609C22×C4—24no—
1610C22×C4—22no—
1611C22×C4—22no—
1612C22×C4—22no—
1613C22×C4—22no—
1614C22×C4—22no—
1615C22×C4—28no—
1616C22×C4—22no—
1617C22×C4—22no—
1618C22×C4—24no—
1619C22×C4—22no—
1620C22×C4—24no—
1621C22×C4—28no—
1622C22×C4—22no—
1623C22×C4—22no—
1624C22×C4—22no—
1625C22×C4—22no—
1626C22×C4—24no—
1627C22×C4—24no—
1628C22×C4—22no—
1629C22×C4—24no—
1630C22×C4—22no—
1631C22×C4—28no—
1632C22×C4—24no—
1633C22×C4—22no—
1634C22×C4—22no—
1635C22×C4—24no—
1636C22×C4—22no—
1637C22×C4—22no—
1638C22×C4—22no—
1639C22×C4—22no—
1640C22×C4—22no—
1641C22×C4—24no—
1642C22×C4—22no—
1643C22×C4—22no—
1644C22×C4—22no—
1645C22×C4—22no—
1646C22×C4—24no—
1647C22×C4—22no—
1648C22×C4—22no—
1649C22×C4—22no—
1650C22×C4—22no—
1651C22×C4—22no—
1652C22×C4—22no—
1653C22×C4—24no—
1654C22×C4—24no—
1655C22×C4—24no—
1656C22×C4—22no—
1657C22×C4—22no—
1658C22×C4—24no—
1659C22×C4—28no—
1660C22×C4—28no—
1661C22×C4—42no—
1662C22×C4—44no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—44no—
1671C22×C4—41no—
1672C22×C4—44no—
1673C22×C4—44no—
1674C22×C4—44no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—41no—
1678C22×C4—42no—
1679C22×C4—44no—
1680C22×C4—44no—
1681C22×C4—44no—
1682C22×C4—44no—
1683C22×C4—41no—
1684C22×C4—42no—
1685C22×C4—432no—
1686C22×C4—416no—
1687C22×C4—416no—
1688C22×C4—816no—
1689C22×C4C22×D418yes—
1690C22×C4C22×D418yes—
1691C22×C4C22×D4116yes—
1692C22×C4C22×D414yes—
1693C22×C4H(5,𝔽2)14yes—
1694C22×C4H(5,𝔽2)14yes—
1695C22×C4C2511yescharacteristic
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2514yes—
1699C22×C4C2511yescharacteristic
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2511yescharacteristic
1703C22×C4C2511yescharacteristic
1704C22×C4C2511yescharacteristic
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2514yes—
1710C22×C4C2512yes—
1711C22×C4C2511yescharacteristic
1712C22×C4C2511yescharacteristic
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2514yes—
1717C22×C4C2511yescharacteristic
1718C22×C4C2511yescharacteristic
1719C22×C4C2511yescharacteristic
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—28no—
1723C4⋊C4—28no—
1724C4⋊C4—22no—
1725C4⋊C4—28no—
1726C4⋊C4—22no—
1727C4⋊C4—28no—
1728C4⋊C4—28no—
1729C4⋊C4—24no—
1730C4⋊C4—28no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—28no—
1735C4⋊C4—28no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—28no—
1741C4⋊C4—22no—
1742C4⋊C4—22no—
1743C4⋊C4—22no—
1744C4⋊C4—22no—
1745C4⋊C4—41no—
1746C4⋊C4—41no—
1747C4⋊C4—41no—
1748C4⋊C4—41no—
1749C4⋊C4—44no—
1750C4⋊C4—44no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—44no—
1760C4⋊C4—44no—
1761C4⋊C4C22×D418yes—
1762C4⋊C4C22×D418yes—
1763C4⋊C4C22×D414yes—
1764C4⋊C4C22×D4116yes—
1765C4⋊C4C22×D414yes—
1766C22⋊C4—24no—
1767C22⋊C4—28no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—28no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—28no—
1775C22⋊C4—24no—
1776C22⋊C4—28no—
1777C22⋊C4—28no—
1778C22⋊C4—28no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—28no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—28no—
1787C22⋊C4—28no—
1788C22⋊C4—24no—
1789C22⋊C4—28no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—28no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—41no—
1796C22⋊C4—41no—
1797C22⋊C4—41no—
1798C22⋊C4—41no—
1799C22⋊C4—41no—
1800C22⋊C4—41no—
1801C22⋊C4—41no—
1802C22⋊C4—41no—
1803C22⋊C4—44no—
1804C22⋊C4—44no—
1805C22⋊C4—44no—
1806C22⋊C4—44no—
1807C22⋊C4—44no—
1808C22⋊C4—44no—
1809C22⋊C4—42no—
1810C22⋊C4—44no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—44no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—44no—
1833C22⋊C4—44no—
1834C22⋊C4—44no—
1835C22⋊C4—42no—
1836C22⋊C4—44no—
1837C22⋊C4—44no—
1838C22⋊C4—44no—
1839C22⋊C4—44no—
1840C22⋊C4—44no—
1841C22⋊C4—44no—
1842C22⋊C4—42no—
1843C22⋊C4—44no—
1844C22⋊C4—44no—
1845C22⋊C4—44no—
1846C22⋊C4—42no—
1847C22⋊C4—44no—
1848C22⋊C4—44no—
1849C22⋊C4—42no—
1850C22⋊C4C22×D418yes—
1851C22⋊C4C22×D4116yes—
1852C42—28no—
1853C42—24no—
1854C42—22no—
1855C42—22no—
1856C42—22no—
1857C42—22no—
1858C42—24no—
1859C42—24no—
1860C42—24no—
1861C42—42no—
1862C42—44no—
1863C42—42no—
1864C42—42no—
1865C42—44no—
1866C42C22×D4116yes—
1867C42C22×D418yes—
1868C23—21no—
1869C23—21no—
1870C23—21no—
1871C23—21no—
1872C23—28no—
1873C23—21no—
1874C23—21no—
1875C23—21no—
1876C23—22no—
1877C23—21no—
1878C23—21no—
1879C23—21no—
1880C23—21no—
1881C23—21no—
1882C23—21no—
1883C23—22no—
1884C23—22no—
1885C23—21no—
1886C23—22no—
1887C23—21no—
1888C23—21no—
1889C23—22no—
1890C23—21no—
1891C23—21no—
1892C23—21no—
1893C23—22no—
1894C23—21no—
1895C23—21no—
1896C23—21no—
1897C23—22no—
1898C23—24no—
1899C23—22no—
1900C23—22no—
1901C23—21no—
1902C23—24no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—21no—
1907C23—21no—
1908C23—21no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—24no—
1915C23—24no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—24no—
1920C23—22no—
1921C23—21no—
1922C23—22no—
1923C23—24no—
1924C23—21no—
1925C23—22no—
1926C23—22no—
1927C23—21no—
1928C23—22no—
1929C23—24no—
1930C23—22no—
1931C23—22no—
1932C23—44no—
1933C23—44no—
1934C23—44no—
1935C23—44no—
1936C23—44no—
1937C23—44no—
1938C23—48no—
1939C23—44no—
1940C23—44no—
1941C23—48no—
1942C23—416no—
1943C23—44no—
1944C23—44no—
1945C23—48no—
1946C23—82no—
1947C23—82no—
1948C23—82no—
1949C23—84no—
1950C23—84no—
1951C23—84no—
1952C23—84no—
1953C23—84no—
1954C23—88no—
1955C23—84no—
1956C23—84no—
1957C23—84no—
1958C23—84no—
1959C23—88no—
1960C23—84no—
1961C23—84no—
1962C23—164no—
1963C23—164no—
1964C23—164no—
1965C23—164no—
1966C23C23×D414yes—
1967C23C23×D412yes—
1968C23C2×H(5,𝔽2)12yes—
1969C23C2×H(5,𝔽2)12yes—
1970C23C2×H(5,𝔽2)12yes—
1971C23C2×H(5,𝔽2)12yes—
1972C23#58512yes—
1973C23C2611yescharacteristic
1974Q8—28no—
1975Q8—48no—
1976Q8—44no—
1977Q8—44no—
1978Q8—44no—
1979Q8—88no—
1980D4—216no—
1981D4—28no—
1982D4—44no—
1983D4—48no—
1984D4—44no—
1985D4—416no—
1986D4—48no—
1987D4—48no—
1988D4—416no—
1989D4—48no—
1990D4—48no—
1991D4—44no—
1992D4—48no—
1993D4—44no—
1994D4—416no—
1995D4—48no—
1996D4—48no—
1997D4—48no—
1998D4—48no—
1999D4—48no—
2000D4—48no—
2001D4—44no—
2002D4—48no—
2003D4—44no—
2004D4—44no—
2005D4—88no—
2006D4—84no—
2007D4—84no—
2008D4—88no—
2009D4—88no—
2010D4—88no—
2011D4—84no—
2012D4—84no—
2013D4—84no—
2014D4—84no—
2015D4—84no—
2016D4—88no—
2017D4—88no—
2018D4—88no—
2019D4—84no—
2020D4—84no—
2021D4—164no—
2022D4—164no—
2023D4—164no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—24no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—21no—
2031C2×C4—22no—
2032C2×C4—24no—
2033C2×C4—22no—
2034C2×C4—216no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—21no—
2039C2×C4—21no—
2040C2×C4—22no—
2041C2×C4—21no—
2042C2×C4—21no—
2043C2×C4—22no—
2044C2×C4—24no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—24no—
2055C2×C4—24no—
2056C2×C4—22no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—22no—
2060C2×C4—24no—
2061C2×C4—21no—
2062C2×C4—21no—
2063C2×C4—21no—
2064C2×C4—22no—
2065C2×C4—21no—
2066C2×C4—21no—
2067C2×C4—21no—
2068C2×C4—21no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—24no—
2076C2×C4—22no—
2077C2×C4—21no—
2078C2×C4—21no—
2079C2×C4—22no—
2080C2×C4—21no—
2081C2×C4—22no—
2082C2×C4—24no—
2083C2×C4—22no—
2084C2×C4—21no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—21no—
2088C2×C4—22no—
2089C2×C4—48no—
2090C2×C4—416no—
2091C2×C4—416no—
2092C2×C4—44no—
2093C2×C4—48no—
2094C2×C4—48no—
2095C2×C4—416no—
2096C2×C4—48no—
2097C2×C4—44no—
2098C2×C4—44no—
2099C2×C4—44no—
2100C2×C4—44no—
2101C2×C4—44no—
2102C2×C4—44no—
2103C2×C4—44no—
2104C2×C4—44no—
2105C2×C4—44no—
2106C2×C4—44no—
2107C2×C4—48no—
2108C2×C4—48no—
2109C2×C4—48no—
2110C2×C4—88no—
2111C2×C4—88no—
2112C2×C4—82no—
2113C2×C4—84no—
2114C2×C4—84no—
2115C2×C4#535116yescomplemented
2116C2×C4C23×D418yes—
2117C2×C4C23×D414yes—
2118C2×C4C23×D414yes—
2119C2×C4C23×D414yes—
2120C2×C4C23×D412yes—
2121C2×C4C23×D412yes—
2122C2×C4C2×H(5,𝔽2)12yes—
2123C2×C4C2×H(5,𝔽2)12yes—
2124C2×C4C2×H(5,𝔽2)12yes—
2125C2×C4C2×H(5,𝔽2)12yes—
2126C2×C4C2×H(5,𝔽2)12yes—
2127C22—22no—
2128C22—22no—
2129C22—22no—
2130C22—22no—
2131C22—22no—
2132C22—22no—
2133C22—22no—
2134C22—24no—
2135C22—22no—
2136C22—22no—
2137C22—24no—
2138C22—22no—
2139C22—22no—
2140C22—22no—
2141C22—22no—
2142C22—22no—
2143C22—24no—
2144C22—22no—
2145C22—416no—
2146C22—41no—
2147C22—41no—
2148C22—41no—
2149C22—42no—
2150C22—41no—
2151C22—41no—
2152C22—41no—
2153C22—42no—
2154C22—41no—
2155C22—42no—
2156C22—41no—
2157C22—41no—
2158C22—41no—
2159C22—41no—
2160C22—41no—
2161C22—42no—
2162C22—42no—
2163C22—44no—
2164C22—42no—
2165C22—42no—
2166C22—41no—
2167C22—42no—
2168C22—42no—
2169C22—41no—
2170C22—42no—
2171C22—44no—
2172C22—41no—
2173C22—44no—
2174C22—42no—
2175C22—42no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—41no—
2180C22—42no—
2181C22—44no—
2182C22—42no—
2183C22—42no—
2184C22—42no—
2185C22—44no—
2186C22—41no—
2187C22—42no—
2188C22—41no—
2189C22—44no—
2190C22—42no—
2191C22—42no—
2192C22—41no—
2193C22—42no—
2194C22—42no—
2195C22—42no—
2196C22—44no—
2197C22—88no—
2198C22—816no—
2199C22—168no—
2200C22—1616no—
2201C22C2×#53514yes—
2202C22C24×D411yescharacteristic
2203C22C22×H(5,𝔽2)11yescharacteristic
2204C22C22×H(5,𝔽2)11yescharacteristic
2205C22C22×H(5,𝔽2)11yescharacteristic
2206C22C2×#58511yescharacteristic
2207C22H(7,𝔽2)11yescharacteristic
2208C222−1+611yescharacteristic
2209C4—28no—
2210C4—24no—
2211C4—24no—
2212C4—22no—
2213C4—24no—
2214C4—44no—
2215C4—42no—
2216C4—42no—
2217C4—41no—
2218C4—44no—
2219C4—41no—
2220C4—41no—
2221C4—42no—
2222C4—42no—
2223C4—41no—
2224C4—41no—
2225C4—41no—
2226C4—42no—
2227C4—41no—
2228C4—42no—
2229C4—42no—
2230C4—42no—
2231C4—42no—
2232C4C2×#53514yes—
2233C4C2×#53514yes—
2234C2—24no—
2235C2—42no—
2236C2—42no—
2237C2—42no—
2238C2—44no—
2239C2—82no—
2240C2—81no—
2241C2—82no—
2242C2—84no—
2243C2—82no—
2244C2C22×#53511yescharacteristic
2245C2#6281811yescharacteristic
2246C2#6287511yescharacteristic
2247C2#6291411yescharacteristic
2248C2#6295711yescharacteristic
2249C2D4×H(5,𝔽2)11yescharacteristic
2250C2#6300211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3488C2semidirect
2. C2×#3492C2semidirect
3. #42986C2semidirect
4. #42962C2semidirect
5. #42885C2semidirect
6. #42810C2semidirect
7. #42480C2semidirect
8. #42478C2semidirect
9. #42434C2semidirect
10. #42421C2semidirect
11. #40517C2semidirect
12. #40494C2semidirect
13. #39950C2semidirect
14. #39948C2semidirect
15. #39887C2semidirect
16. #39862C2semidirect
17. #39362C2semidirect
18. #39339C2semidirect
19. #39169C2semidirect
20. #39120C2semidirect
21. #38358C2semidirect
22. #37650C2semidirect
23. #35565C2semidirect
24. #35564C2semidirect
25. #35563C2semidirect
26. #35542C2semidirect
27. #35513C2semidirect
28. #35512C2semidirect
29. #35264C2semidirect
30. #35251C2semidirect
31. #35223C2semidirect
32. #34936C2semidirect
33. #34736C2semidirect
34. C2×#2416C2semidirect
35. #34253C2semidirect
40. C2×#554C22semidirect
41. C2×#554C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
44. C2×#552C22semidirect
45. C2×#552C22semidirect
46. C2×#550C22semidirect
47. C2×#548C22semidirect
48. C2×#547C22semidirect
49. C2×#547C22semidirect
51. C2×#546C22semidirect
53. C2×D42C22semidirect
54. C2×#544C22semidirect
55. C2×#539C22semidirect
58. C2×#537C22semidirect
59. C2×#537C22semidirect
61. C2×#535C22semidirect
62. C2×#535C22semidirect
63. C2×#535C22semidirect
64. C2×#532C22semidirect
67. C2×#525C22semidirect
68. C2×#525C22semidirect
69. C2×#525C22semidirect
70. C2×#525C22semidirect
71. C2×#525C22semidirect
72. C2×#525C22semidirect
74. C22×#121C22semidirect
75. C22×#121C22semidirect
76. C22×#121C22semidirect
78. C2×#520C22semidirect
79. C22×C4×D4C22semidirect
80. C23×C4⋊C4C22semidirect
81. #2861C22semidirect
82. #2858C22semidirect
83. #2848C22semidirect
84. #2847C22semidirect
85. #2847C22semidirect
86. #2820C22semidirect
87. #2818C22semidirect
88. #2816C22semidirect
89. #2813C22semidirect
90. #2720C22semidirect
91. #2718C22semidirect
92. #2711C22semidirect
93. #2711C22semidirect
94. #2711C22semidirect
95. #2706C22semidirect
96. #2706C22semidirect
97. #2703C22semidirect
98. #2696C22semidirect
99. #2692C22semidirect
100. #2692C22semidirect
101. #2685C22semidirect
102. #2685C22semidirect
103. #2685C22semidirect
104. #2678C22semidirect
105. #2678C22semidirect
106. #2678C22semidirect
107. #2678C22semidirect
108. #2678C22semidirect
109. #2678C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2676C22semidirect
113. #2676C22semidirect
114. #2676C22semidirect
115. #2676C22semidirect
116. #2673C22semidirect
117. #2673C22semidirect
118. #2673C22semidirect
119. #2669C22semidirect
120. #2669C22semidirect
121. #2669C22semidirect
122. #2662C22semidirect
123. #2661C22semidirect
124. #2641C22semidirect
125. #2641C22semidirect
126. #2640C22semidirect
127. #2636C22semidirect
128. #2635C22semidirect
129. #2633C22semidirect
130. #2631C22semidirect
131. #2626C22semidirect
132. #2620C22semidirect
133. #2619C22semidirect
134. #2618C22semidirect
135. #2616C22semidirect
136. #2615C22semidirect
137. #2615C22semidirect
138. #2613C22semidirect
139. #2610C22semidirect
140. #2603C22semidirect
141. #2598C22semidirect
142. #2566C22semidirect
143. #2563C22semidirect
144. #2562C22semidirect
145. #2562C22semidirect
146. #2547C22semidirect
147. #2543C22semidirect
148. #2542C22semidirect
149. #2542C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2541C22semidirect
157. #2540C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
160. #2540C22semidirect
161. #2540C22semidirect
162. #2540C22semidirect
163. #2540C22semidirect
164. #2540C22semidirect
165. #2539C22semidirect
166. #2539C22semidirect
167. #2539C22semidirect
168. #2535C22semidirect
169. #2534C22semidirect
170. #2501C22semidirect
171. #2492C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
174. #2491C22semidirect
175. #2490C22semidirect
176. #2490C22semidirect
177. #2490C22semidirect
178. #2489C22semidirect
179. #2488C22semidirect
180. #2472C22semidirect
181. #2472C22semidirect
182. #2472C22semidirect
183. #2435C22semidirect
184. #2435C22semidirect
185. #2433C22semidirect
186. #2433C22semidirect
187. #2433C22semidirect
188. #2432C22semidirect
189. #2431C22semidirect
190. #2431C22semidirect
191. #2430C22semidirect
192. #2429C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2427C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2417C22semidirect
201. #2417C22semidirect
202. #2417C22semidirect
203. #2417C22semidirect
204. #2417C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2416C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
221. #2415C22semidirect
222. #2414C22semidirect
223. #2414C22semidirect
224. #2414C22semidirect
225. #2414C22semidirect
226. #2411C22semidirect
227. #2410C22semidirect
228. #2410C22semidirect
229. #2410C22semidirect
230. #2409C22semidirect
231. #2409C22semidirect
232. #2409C22semidirect
233. #2408C22semidirect
234. #2408C22semidirect
235. #2408C22semidirect
236. #2408C22semidirect
237. #2408C22semidirect
238. #2408C22semidirect
239. #2408C22semidirect
240. #2408C22semidirect
241. #2408C22semidirect
242. #2408C22semidirect
243. #2408C22semidirect
244. #2407C22semidirect
245. #2407C22semidirect
246. #2407C22semidirect
247. #2407C22semidirect
248. #2407C22semidirect
249. #2407C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2406C22semidirect
257. #2405C22semidirect
258. #2405C22semidirect
259. #2404C22semidirect
260. #2404C22semidirect
261. #2403C22semidirect
262. #2403C22semidirect
263. #2397C22semidirect
264. #2397C22semidirect
265. C2×#396C22semidirect
266. #2388C22semidirect
267. #2388C22semidirect
268. C2×#394C22semidirect
269. #2353C22semidirect
270. #2352C22semidirect
271. #2347C22semidirect
272. #2346C22semidirect
273. #2345C22semidirect
274. #2344C22semidirect
275. #2328C22semidirect
276. #2324C22semidirect
277. #2321C22semidirect
278. #2320C22semidirect
279. #2319C22semidirect
280. #2316C22semidirect
282. #2311C22semidirect
283. #2311C22semidirect
284. #2311C22semidirect
285. #2309C22semidirect
286. C4×#127C22semidirect
287. C4×#127C22semidirect
288. C4×#120C22semidirect
289. C4×#120C22semidirect
291. #2297C22semidirect
292. #2295C22semidirect
293. #2293C22semidirect
294. C2×#390C22semidirect
295. C2×#389C22semidirect
296. C2×#386C22semidirect
297. #2280C22semidirect
298. C2×#380C22semidirect
299. #2274C22semidirect
300. C4×#117C22semidirect
498. #520D4semidirect
1150. C4×Q8C2×D4semidirect
1180. C4×D4C2×D4semidirect
1188. #117C2×D4semidirect
1200. C2×C4⋊C4C2×D4semidirect
1606. C2×D4H(5,𝔽2)semidirect
2115. C2×C4#535semidirect

Maximal subgroups

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

subgroupindex
C2×#34882
C2×#34922
#429862
#429622
#428852
#428102
#424802
#424782
#424342
#424212
#405172
#404942
#399502
#399482
#398872
#398622
#393622
#393392
#391692
#391202
#383582
#376502
#355652
#355642
#355632
#355422
#355132
#355122
#352642
#352512
#352232
#349362
#347362
C2×#24162
#342532