Finite Group Databasebeta

← #7692184

Subgroups — #7692184

Order 512.

7929 conjugacy classes of subgroups.

The subgroup lattice has 2023 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59660C211yesmaximal, characteristic, complemented
4#59103C212yesmaximal, complemented
5#59057C211yesmaximal, characteristic, complemented
6#59052C211yesmaximal, characteristic, complemented
7#59044C214yesmaximal, complemented
8#59035C212yesmaximal, complemented
9#59004C212yesmaximal, complemented
10#59004C212yesmaximal, complemented
11#45352C212yesmaximal, complemented
12#45106C212yesmaximal, complemented
13#44231C214yesmaximal, complemented
14#44226C214yesmaximal, complemented
15#39962C212yesmaximal, complemented
16#39887C212yesmaximal, complemented
17#38957C211yesmaximal, characteristic, complemented
18#38923C211yesmaximal, characteristic, complemented
19#37728C214yesmaximal, complemented
20#37670C212yesmaximal, complemented
21#36442C212yesmaximal, complemented
22#36438C212yesmaximal, complemented
23#36410C211yesmaximal, characteristic, complemented
24#36150C211yesmaximal, characteristic, complemented
25#36125C211yesmaximal, characteristic, complemented
26#36107C212yesmaximal, complemented
27#36100C211yesmaximal, characteristic, complemented
28D4×#121C211yesmaximal, characteristic, complemented
29#35982C212yesmaximal, complemented
30#35736C212yesmaximal, complemented
31#34743C212yesmaximal, complemented
32#34700C211yesmaximal, characteristic, complemented
33#34321C211yesmaximal, characteristic, complemented
34#34204C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3475—216no—
38C2×#556C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic
40C2×#554C2211yescharacteristic, complemented
41C2×#554C2211yescharacteristic, complemented
42C2×#553C2212yescomplemented
43C2×#553C2212yescomplemented
44C2×#553C2212yescomplemented
45C2×#552C2212yescomplemented
46C2×#552C2212yescomplemented
47C2×#551C2214yescomplemented
48C2×#550C2211yescharacteristic, complemented
49C2×#547C2211yescharacteristic, complemented
50C2×#546C2212yes—
51C2×#546C2211yescharacteristic
52C2×#546C2214yescomplemented
53C2×#546C2212yescomplemented
54C2×D42C2211yescharacteristic
55C2×D42C2212yescomplemented
56C2×D42C2212yescomplemented
57C2×#540C2212yescomplemented
58C2×#538C2214yescomplemented
59C2×#533C2211yescharacteristic, complemented
60C2×#532C2211yescharacteristic, complemented
61C2×#532C2212yescomplemented
62C2×#529C2211yescharacteristic
63C2×#529C2212yescomplemented
64C2×#529C2214yescomplemented
65C2×#525C2212yescomplemented
66C2×#525C2212yescomplemented
67C2×#525C2212yescomplemented
68C22×#121C2212yes—
69C22×#121C2212yes—
70C2×#518C2212yescomplemented
71C2×C4×#41C2211yescharacteristic, complemented
72C2×C4×#41C2212yescomplemented
73C22×C4×D4C2211yescharacteristic, complemented
74C22×C4×D4C2211yescharacteristic, complemented
75C22×#117C2212yescomplemented
76#2858C2211yescharacteristic, complemented
77#2857C2211yescharacteristic, complemented
78#2856C2211yescharacteristic, complemented
79#2854C2212yescomplemented
80#2852C2214yescomplemented
81#2850C2212yescomplemented
82#2848C2212yescomplemented
83#2847C2212yescomplemented
84#2732C2214yescomplemented
85#2730C2214yescomplemented
86#2728C2214yescomplemented
87#2722C2214yescomplemented
88#2718C2214yescomplemented
89#2708C2214yescomplemented
90#2706C2214yescomplemented
91#2697C2214yescomplemented
92#2695C2214yescomplemented
93#2695C2214yescomplemented
94#2693C2214yescomplemented
95#2691C2214yescomplemented
96#2685C2214yescomplemented
97#2685C2214yescomplemented
98#2685C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2671C2214yescomplemented
102#2671C2214yescomplemented
103#2668C2214yescomplemented
104#2668C2214yescomplemented
105#2664C2214yescomplemented
106#2633C2214yescomplemented
107#2625C2212yescomplemented
108#2620C2212yescomplemented
109#2601C2214yescomplemented
110#2601C2214yescomplemented
111#2598C2214yescomplemented
112#2598C2214yescomplemented
113#2582C2211yescharacteristic, complemented
114#2566C2214yescomplemented
115#2562C2214yescomplemented
116#2559C2214yescomplemented
117#2553C2214yescomplemented
118#2552C2212yescomplemented
119#2548C2211yescharacteristic, complemented
120#2547C2212yescomplemented
121#2546C2211yescharacteristic, complemented
122#2542C2211yescharacteristic, complemented
123#2542C2212yescomplemented
124#2541C2211yescharacteristic, complemented
125#2540C2212yescomplemented
126#2540C2212yescomplemented
127#2537C2211yescharacteristic
128#2537C2214yescomplemented
129#2536C2214yescomplemented
130#2500C2212yescomplemented
131#2490C2212yescomplemented
132#2490C2212yescomplemented
133#2489C2212yescomplemented
134#2489C2212yescomplemented
135#2485C2212yescomplemented
136#2480C2214yescomplemented
137#2480C2212yescomplemented
138#2480C2214yescomplemented
139#2476C2214yescomplemented
140#2476C2214yescomplemented
141#2470C2214yescomplemented
142#2468C2212yescomplemented
143#2464C2214yescomplemented
144#2464C2214yescomplemented
145#2464C2214yescomplemented
146#2464C2214yescomplemented
147#2464C2214yescomplemented
148#2457C2214yescomplemented
149#2457C2212yescomplemented
150#2456C2214yescomplemented
151#2455C2214yescomplemented
152#2455C2214yescomplemented
153#2454C2212yescomplemented
154#2454C2212yescomplemented
155#2454C2212yescomplemented
156#2454C2211yescharacteristic, complemented
157#2453C2212yescomplemented
158#2448C2212yescomplemented
159#2447C2211yescharacteristic, complemented
160#2445C2212yescomplemented
161#2444C2214yescomplemented
162#2442C2212yescomplemented
163#2442C2212yescomplemented
164#2442C2211yescharacteristic, complemented
165#2441C2212yescomplemented
166#2435C2212yescomplemented
167#2435C2212yescomplemented
168#2435C2212yescomplemented
169#2435C2211yescharacteristic, complemented
170#2432C2212yescomplemented
171#2431C2212yescomplemented
172#2431C2212yescomplemented
173#2429C2212yescomplemented
174#2429C2212yescomplemented
175#2428C2212yescomplemented
176#2428C2212yescomplemented
177#2428C2212yescomplemented
178#2428C2212yescomplemented
179#2427C2212yes—
180#2427C2212yescomplemented
181#2427C2212yescomplemented
182#2427C2212yescomplemented
183#2427C2212yescomplemented
184#2427C2211yescharacteristic, complemented
185#2426C2212yescomplemented
186#2426C2212yescomplemented
187#2426C2212yescomplemented
188#2426C2212yescomplemented
189#2425C2214yescomplemented
190#2425C2214yescomplemented
191#2425C2214yescomplemented
192#2424C2214yescomplemented
193#2424C2214yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2423C2214yescomplemented
197#2422C2212yescomplemented
198#2422C2214yescomplemented
199#2420C2211yescharacteristic
200#2420C2214yescomplemented
201#2418C2214yescomplemented
202#2418C2214yescomplemented
203#2418C2214yescomplemented
204#2418C2214yescomplemented
205#2418C2212yescomplemented
206#2418C2214yescomplemented
207#2417C2212yescomplemented
208#2417C2212yescomplemented
209#2417C2211yescharacteristic, complemented
210#2416C2212yescomplemented
211#2416C2212yescomplemented
212#2416C2212yescomplemented
213#2415C2212yescomplemented
214#2414C2212yescomplemented
215#2414C2212yescomplemented
216#2410C2214yescomplemented
217#2408C2212yes—
218#2408C2211yescharacteristic
219#2408C2212yescomplemented
220#2408C2214yescomplemented
221#2408C2214yescomplemented
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2407C2214yescomplemented
226#2405C2214yescomplemented
227#2403C2214yescomplemented
228#2395C2212yescomplemented
229#2392C2212yescomplemented
230#2392C2214yescomplemented
231#2392C2214yescomplemented
232#2369C2211yescharacteristic, complemented
233#2367C2214yescomplemented
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2367C2211yescharacteristic, complemented
237#2366C2212yescomplemented
238#2364C2212yescomplemented
239#2363C2211yescharacteristic
240#2363C2212yes—
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2361C2212yescomplemented
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2361C2212yescomplemented
248#2361C2212yescomplemented
249#2361C2212yescomplemented
250#2361C2212yescomplemented
251#2360C2212yescomplemented
252#2360C2211yescharacteristic, complemented
253#2359C2212yescomplemented
254#2358C2212yescomplemented
255#2354C2211yescharacteristic, complemented
256#2352C2211yescharacteristic, complemented
257#2349C2211yescharacteristic, complemented
258D4×C4⋊C4C2212yescomplemented
259D4×C4⋊C4C2211yescharacteristic, complemented
260#2347C2212yescomplemented
261#2347C2212yescomplemented
262#2342C2214yescomplemented
263#2342C2212yescomplemented
264#2342C2214yescomplemented
265#2341C2212yescomplemented
266#2339C2211yescharacteristic, complemented
267D4×C22⋊C4C2214yescomplemented
268D4×C22⋊C4C2212yescomplemented
269D4×C22⋊C4C2211yescharacteristic, complemented
270D4×C22⋊C4C2214yescomplemented
271D4×C22⋊C4C2214yescomplemented
272#2337C2214yescomplemented
273#2324C2212yescomplemented
274#2324C2214yescomplemented
275#2324C2214yescomplemented
276#2316C2212yescomplemented
277#2309C2212yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#124C2211yescharacteristic, complemented
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2212yescomplemented
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic, complemented
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2214yescomplemented
289C4×#121C2214yescomplemented
290C4×#121C2214yescomplemented
291C4×#120C2212yescomplemented
292C4×#120C2212yescomplemented
293#2297C2212yescomplemented
294#2296C2212yescomplemented
295#2293C2211yescharacteristic, complemented
296#2280C2212yescomplemented
297#2274C2212yescomplemented
298C42×D4C2211yescharacteristic, complemented
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×D4C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2314yes—
310C23×D4C2314yes—
311C24×C4C2312yes—
312C24×C4C2312yes—
313#556—28no—
314#555D4116yescomplemented
315#554—28no—
316#554—28no—
317#553—216no—
318#553—216no—
319#553—216no—
320#552—216no—
321#552—216no—
322#551—232no—
323#550—28no—
324#547—28no—
325#546—232no—
326#546—216no—
327#546—216no—
328#546—28no—
329D42—216no—
330D42—28no—
331D42—48no—
332#540—216no—
333#538—232no—
334#533—28no—
335#532—28no—
336#532—48no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×#127C2311yescharacteristic
341C2×#127C2312yes—
342C2×#127C2312yes—
343#529—232no—
344#529—216no—
345#529—28no—
346C2×#126C2314yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#125C2314yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#124C2311yescharacteristic
357C2×#124C2311yescharacteristic
358C2×#124C2312yes—
359C2×#124C2311yescharacteristic
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365#525—216no—
366#525—216no—
367#525—48no—
368C2×#123C2312yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2311yescharacteristic
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×#121—216no—
394C2×#121—216no—
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2311yescharacteristic
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#120C2312yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2312yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435#518—216no—
436C4×#41—28no—
437C4×#41—216no—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×D4—28no—
446C2×C4×D4—28no—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2314yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2314yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×#117—216no—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2314yes—
493C2×#117C2314yes—
494C2×#117C2312yes—
495C2×#117C2314yes—
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C22⋊C4C2314yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2314yes—
512C22×C22⋊C4C2314yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2312yes—
516C22×C42C2314yes—
517C22×C42C2312yes—
518C22×C42C2311yescharacteristic
519C22×C42C2311yescharacteristic
520C22×C42C2312yes—
521#400C2312yes—
522#400C2314yes—
523#400C2314yes—
524#400C2314yes—
525#399C2312yes—
526#399C2314yes—
527#399C2314yes—
528#399C2314yes—
529#399C2314yes—
530#399C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2312yes—
536#398C2312yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2312yes—
545#397C2314yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#396C2312yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2312yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2314yes—
573#394C2314yes—
574#394C2312yes—
575#394C2314yes—
576#394C2312yes—
577#394C2312yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2312yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2314yes—
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2311yescharacteristic
606#391C2312yes—
607#391C2311yescharacteristic
608#391C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2312yes—
622#390C2314yes—
623#390C2312yes—
624#390C2314yes—
625#390C2312yes—
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2312yes—
638#390C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2314yes—
643#389C2314yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2314yes—
651#389C2314yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2314yes—
661#389C2311yescharacteristic
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#387C2312yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2312yes—
734#386C2314yes—
735#385C2312yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#384C2311yescharacteristic
760#384C2314yes—
761#384C2312yes—
762#383C2314yes—
763#382C2314yes—
764#382C2311yescharacteristic
765#382C2311yescharacteristic
766#381C2312yes—
767#381C2312yes—
768#381C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2314yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2311yescharacteristic
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791#380C2312yes—
792#379C2314yes—
793#379C2314yes—
794#379C2314yes—
795#379C2312yes—
796#379C2312yes—
797#379C2312yes—
798#379C2314yes—
799#379C2314yes—
800#379C2314yes—
801#379C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2311yescharacteristic
847C2×#95C2312yes—
848C2×#95C2312yes—
849C43C2311yescharacteristic
850C25C2412yes—
851C25C2412yes—
852C25C2414yes—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—82no—
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×D4—24no—
870C22×D4—24no—
871C22×D4—28no—
872C22×D4—24no—
873C22×D4—24no—
874C22×D4—28no—
875C22×D4—216no—
876C22×D4—216no—
877C22×D4—28no—
878C22×D4—44no—
879C22×D4—42no—
880C22×D4—42no—
881C22×D4—44no—
882C22×D4—44no—
883C22×D4—48no—
884C22×D4—48no—
885C22×D4—84no—
886C22×D4—84no—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2411yescharacteristic
901C22×D4C2411yescharacteristic
902C22×D4C2411yescharacteristic
903C22×D4C2411yescharacteristic
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C23×C4—28no—
913C23×C4—28no—
914C23×C4—28no—
915C23×C4—44no—
916C23×C4—44no—
917C23×C4—44no—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2414yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C23×C4C2412yes—
933C23×C4C2411yescharacteristic
934C23×C4C2414yes—
935C23×C4C2412yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2414yes—
939C23×C4C2414yes—
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2412yes—
944C4⋊Q8—24no—
945C4⋊Q8—44no—
946C4⋊Q8C2×D418yescomplemented
947#127—28no—
948#127—28no—
949#127—24no—
950#126—28no—
951#126—216no—
952#126—216no—
953#126—216no—
954#126—216no—
955#125—28no—
956#125—24no—
957#125—28no—
958#125—28no—
959#125—216no—
960#124—28no—
961#124—24no—
962#124—28no—
963#124—24no—
964#124—24no—
965#124—44no—
966#124—44no—
967#124—44no—
968#124C2×D4132yescomplemented
969#123—216no—
970#123—216no—
971#123—216no—
972#123—28no—
973#123—216no—
974#123—216no—
975#123—216no—
976#123—216no—
977#123—28no—
978#123—48no—
979#123—84no—
980C22⋊Q8—216no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—24no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—24no—
990C22⋊Q8—42no—
991C22⋊Q8—44no—
992C22⋊Q8—44no—
993C22⋊Q8—44no—
994#121—24no—
995#121—216no—
996#121—28no—
997#121—216no—
998#121—216no—
999#121—28no—
1000#121—216no—
1001#121—28no—
1002#121—24no—
1003#121—28no—
1004#121—28no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—216no—
1012#121—216no—
1013#121—216no—
1014#121—216no—
1015#121—48no—
1016#121—48no—
1017#121—48no—
1018#121—48no—
1019#121—44no—
1020#121—44no—
1021#121—82no—
1022#121C2×D4116yes—
1023#121C2×D4116yescomplemented
1024#121#4118yescomplemented
1025#120—216no—
1026#120—216no—
1027#120—28no—
1028#120—216no—
1029#120—216no—
1030#120—48no—
1031#120—44no—
1032#120—48no—
1033#120—48no—
1034C4×Q8—28no—
1035C4×Q8—28no—
1036C4×Q8—24no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8—24no—
1040C4×Q8—82no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—216no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—24no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—216no—
1061C4×D4—28no—
1062C4×D4—216no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—216no—
1066C4×D4—216no—
1067C4×D4—216no—
1068C4×D4—42no—
1069C4×D4—44no—
1070C4×D4—44no—
1071C4×D4—42no—
1072C4×D4—44no—
1073C4×D4—42no—
1074C4×D4—48no—
1075C4×D4—48no—
1076C4×D4—48no—
1077C4×D4—48no—
1078C4×D4—84no—
1079C4×D4—84no—
1080C4×D4—84no—
1081C4×D4C2×D418yes—
1082C4×D4C2×D418yescomplemented
1083#117—28no—
1084#117—28no—
1085#117—24no—
1086#117—28no—
1087#117—216no—
1088#117—28no—
1089#117—216no—
1090#117—216no—
1091#117—44no—
1092#117—44no—
1093#117C2×D4116yescomplemented
1094#117C2×D4116yescomplemented
1095C2×C4⋊C4—28no—
1096C2×C4⋊C4—28no—
1097C2×C4⋊C4—24no—
1098C2×C4⋊C4—24no—
1099C2×C4⋊C4—28no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C22⋊C4—216no—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—28no—
1157C2×C22⋊C4—216no—
1158C2×C22⋊C4—216no—
1159C2×C22⋊C4—216no—
1160C2×C22⋊C4—28no—
1161C2×C22⋊C4—44no—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C42—28no—
1242C2×C42—216no—
1243C2×C42—24no—
1244C2×C42—24no—
1245C2×C42—44no—
1246C2×C42C2412yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2414yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2412yes—
1251C2×C42C2414yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2412yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2414yes—
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2414yes—
1268C2×C42C2414yes—
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271C2×C42C2414yes—
1272C2×C42C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2411yescharacteristic
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2411yescharacteristic
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2414yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319C24—24no—
1320C24—24no—
1321C24—24no—
1322C24—24no—
1323C24—24no—
1324C24—24no—
1325C24—28no—
1326C24—28no—
1327C24—42no—
1328C24—42no—
1329C24—42no—
1330C24—42no—
1331C24—42no—
1332C24—42no—
1333C24—44no—
1334C24—42no—
1335C24—42no—
1336C24—44no—
1337C24—44no—
1338C24—44no—
1339C24—44no—
1340C24C2514yes—
1341C24C2512yes—
1342C24C2512yes—
1343C24C2512yes—
1344C24C2511yescharacteristic
1345C24C2512yes—
1346C24C2511yescharacteristic
1347#41—416no—
1348#41—432no—
1349#41—816no—
1350#41—816no—
1351C2×Q8—22no—
1352C2×Q8—24no—
1353C2×Q8—22no—
1354C2×Q8—22no—
1355C2×Q8—24no—
1356C2×Q8—22no—
1357C2×Q8—24no—
1358C2×Q8—22no—
1359C2×Q8—22no—
1360C2×Q8—42no—
1361C2×Q8—42no—
1362C2×Q8C22×D418yes—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—22no—
1369C2×D4—24no—
1370C2×D4—28no—
1371C2×D4—28no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—28no—
1376C2×D4—24no—
1377C2×D4—28no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—28no—
1382C2×D4—28no—
1383C2×D4—28no—
1384C2×D4—28no—
1385C2×D4—28no—
1386C2×D4—28no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—28no—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—22no—
1395C2×D4—28no—
1396C2×D4—24no—
1397C2×D4—22no—
1398C2×D4—24no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—432no—
1406C2×D4—42no—
1407C2×D4—41no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—44no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—42no—
1432C2×D4—44no—
1433C2×D4—416no—
1434C2×D4—416no—
1435C2×D4—816no—
1436C2×D4—832no—
1437C2×D4—832no—
1438C2×D4C22×D414yes—
1439C2×D4C22×D414yes—
1440C2×D4C22×D4116yes—
1441C2×D4C2×#4114yes—
1442C2×D4C2×#4118yes—
1443C2×D4H(5,𝔽2)14yes—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—28no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—28no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—28no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—28no—
1484C22×C4—28no—
1485C22×C4—28no—
1486C22×C4—28no—
1487C22×C4—24no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—44no—
1493C22×C4—41no—
1494C22×C4—432no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—41no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—41no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—42no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—816no—
1521C22×C4C22×D418yes—
1522C22×C4C22×D418yes—
1523C22×C4C2×#4114yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2514yes—
1528C22×C4C2511yescharacteristic
1529C22×C4C2512yes—
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2512yes—
1533C22×C4C2512yes—
1534C22×C4C2512yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2512yes—
1538C22×C4C2512yes—
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2514yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2514yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2512yes—
1550C22×C4C2511yescharacteristic
1551C22×C4C2511yescharacteristic
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—28no—
1556C4⋊C4—28no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—28no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—28no—
1566C4⋊C4—28no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—28no—
1570C4⋊C4—28no—
1571C4⋊C4—24no—
1572C4⋊C4—28no—
1573C4⋊C4—24no—
1574C4⋊C4—28no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—24no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—42no—
1583C4⋊C4—42no—
1584C4⋊C4—41no—
1585C4⋊C4—42no—
1586C4⋊C4—41no—
1587C4⋊C4—42no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—42no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4—42no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—42no—
1599C4⋊C4—42no—
1600C4⋊C4C22×D414yes—
1601C4⋊C4C22×D418yes—
1602C4⋊C4C22×D414yes—
1603C4⋊C4C22×D418yes—
1604C4⋊C4C2×#4114yes—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—28no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—28no—
1613C22⋊C4—28no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—22no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—22no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—28no—
1637C22⋊C4—22no—
1638C22⋊C4—24no—
1639C22⋊C4—28no—
1640C22⋊C4—28no—
1641C22⋊C4—24no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—44no—
1647C22⋊C4—41no—
1648C22⋊C4—41no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—41no—
1653C22⋊C4—44no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—42no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—42no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4C22×D4116yes—
1680C22⋊C4C22×D418yes—
1681C22⋊C4C22×D418yes—
1682C22⋊C4C22×D4116yes—
1683C22⋊C4C2×#4118yes—
1684C42—24no—
1685C42—22no—
1686C42—22no—
1687C42—28no—
1688C42—22no—
1689C42—28no—
1690C42—24no—
1691C42—22no—
1692C42—22no—
1693C42—24no—
1694C42—22no—
1695C42—24no—
1696C42—22no—
1697C42—22no—
1698C42—24no—
1699C42—22no—
1700C42—24no—
1701C42—22no—
1702C42—42no—
1703C42—42no—
1704C42—44no—
1705C42—41no—
1706C42—44no—
1707C42—44no—
1708C42—41no—
1709C42C22×D414yes—
1710C42C22×D4116yes—
1711C23—21no—
1712C23—22no—
1713C23—22no—
1714C23—21no—
1715C23—21no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—21no—
1720C23—22no—
1721C23—22no—
1722C23—21no—
1723C23—22no—
1724C23—21no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—21no—
1729C23—22no—
1730C23—21no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—21no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—21no—
1746C23—21no—
1747C23—24no—
1748C23—24no—
1749C23—24no—
1750C23—24no—
1751C23—24no—
1752C23—24no—
1753C23—24no—
1754C23—48no—
1755C23—48no—
1756C23—48no—
1757C23—48no—
1758C23—48no—
1759C23—48no—
1760C23—416no—
1761C23—84no—
1762C23—84no—
1763C23—84no—
1764C23—84no—
1765C23—84no—
1766C23—84no—
1767C23—88no—
1768C23—88no—
1769C23—88no—
1770C23—88no—
1771C23—84no—
1772C23—84no—
1773C23—164no—
1774C23—164no—
1775C23C23×D414yes—
1776C23C23×D414yes—
1777C23C22×#4114yes—
1778C23C22×#4112yes—
1779C23C2×H(5,𝔽2)14yes—
1780C23#58512yes—
1781C23C2611yescharacteristic
1782Q8—48no—
1783Q8—44no—
1784Q8—48no—
1785Q8—44no—
1786D4—28no—
1787D4—28no—
1788D4—28no—
1789D4—28no—
1790D4—48no—
1791D4—416no—
1792D4—416no—
1793D4—416no—
1794D4—416no—
1795D4—48no—
1796D4—44no—
1797D4—48no—
1798D4—48no—
1799D4—416no—
1800D4—48no—
1801D4—416no—
1802D4—48no—
1803D4—48no—
1804D4—48no—
1805D4—84no—
1806D4—88no—
1807D4—88no—
1808D4—88no—
1809D4—88no—
1810D4—88no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—21no—
1823C2×C4—28no—
1824C2×C4—216no—
1825C2×C4—216no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—24no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—21no—
1853C2×C4—24no—
1854C2×C4—21no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—22no—
1863C2×C4—21no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—24no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—24no—
1882C2×C4—21no—
1883C2×C4—22no—
1884C2×C4—21no—
1885C2×C4—22no—
1886C2×C4—48no—
1887C2×C4—48no—
1888C2×C4—48no—
1889C2×C4—416no—
1890C2×C4—48no—
1891C2×C4—44no—
1892C2×C4—48no—
1893C2×C4—44no—
1894C2×C4—44no—
1895C2×C4—48no—
1896C2×C4—44no—
1897C2×C4—84no—
1898C2×C4—82no—
1899C2×C4—88no—
1900C2×C4—84no—
1901C2×C4—84no—
1902C2×C4—88no—
1903C2×C4—88no—
1904C2×C4—88no—
1905C2×C4—88no—
1906C2×C4—84no—
1907C2×C4—84no—
1908C2×C4—84no—
1909C2×C4C23×D414yes—
1910C2×C4C23×D414yes—
1911C2×C4C23×D412yes—
1912C2×C4C23×D418yes—
1913C2×C4C23×D412yes—
1914C2×C4C23×D412yes—
1915C2×C4C22×#4112yes—
1916C2×C4C22×#4114yes—
1917C2×C4C22×#4112yes—
1918C2×C4C2×H(5,𝔽2)12yes—
1919C2×C4#58512yes—
1920C2×C4#58512yes—
1921C22—24no—
1922C22—24no—
1923C22—22no—
1924C22—22no—
1925C22—24no—
1926C22—24no—
1927C22—22no—
1928C22—24no—
1929C22—24no—
1930C22—24no—
1931C22—24no—
1932C22—22no—
1933C22—22no—
1934C22—24no—
1935C22—22no—
1936C22—24no—
1937C22—24no—
1938C22—24no—
1939C22—42no—
1940C22—42no—
1941C22—41no—
1942C22—42no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—41no—
1947C22—42no—
1948C22—42no—
1949C22—41no—
1950C22—42no—
1951C22—41no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—41no—
1958C22—41no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—41no—
1963C22—44no—
1964C22—44no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—44no—
1969C22—44no—
1970C22—816no—
1971C22—816no—
1972C22—1616no—
1973C22C24×D411yescharacteristic
1974C22C23×#4111yescharacteristic
1975C22C22×H(5,𝔽2)11yescharacteristic
1976C22C2×#58511yescharacteristic
1977C22C2×#58511yescharacteristic
1978C22C2×#58511yescharacteristic
1979C22H(7,𝔽2)11yescharacteristic
1980C4—24no—
1981C4—22no—
1982C4—28no—
1983C4—24no—
1984C4—22no—
1985C4—24no—
1986C4—41no—
1987C4—44no—
1988C4—41no—
1989C4—42no—
1990C4—41no—
1991C4—42no—
1992C4—41no—
1993C4—42no—
1994C4—42no—
1995C4—41no—
1996C4—42no—
1997C4—41no—
1998C4—44no—
1999C4—42no—
2000C4—41no—
2001C4—41no—
2002C4—42no—
2003C4—42no—
2004C4—41no—
2005C4—42no—
2006C4D4×#4114yes—
2007C4#348814yes—
2008C2—44no—
2009C2—44no—
2010C2—42no—
2011C2—42no—
2012C2—44no—
2013C2—44no—
2014C2—84no—
2015C2C2×D4×#4111yescharacteristic
2016C2C2×#348811yescharacteristic
2017C2#6281611yescharacteristic
2018C2#6293711yescharacteristic
2019C2#6298311yescharacteristic
2020C2#6298711yescharacteristic
2021C2#6301811yescharacteristic
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×#3519C2semidirect
2. C2×#3475C2semidirect
3. #59660C2semidirect
4. #59103C2semidirect
5. #59057C2semidirect
6. #59052C2semidirect
7. #59044C2semidirect
8. #59035C2semidirect
9. #59004C2semidirect
10. #59004C2semidirect
11. #45352C2semidirect
12. #45106C2semidirect
13. #44231C2semidirect
14. #44226C2semidirect
15. #39962C2semidirect
16. #39887C2semidirect
17. #38957C2semidirect
18. #38923C2semidirect
19. #37728C2semidirect
20. #37670C2semidirect
21. #36442C2semidirect
22. #36438C2semidirect
23. #36410C2semidirect
24. #36150C2semidirect
25. #36125C2semidirect
26. #36107C2semidirect
27. #36100C2semidirect
28. D4×#121C2semidirect
29. #35982C2semidirect
30. #35736C2semidirect
31. #34743C2semidirect
32. #34700C2semidirect
33. #34321C2semidirect
34. #34204C2semidirect
35. C4×#546C2semidirect
38. C2×#556C22semidirect
40. C2×#554C22semidirect
41. C2×#554C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
45. C2×#552C22semidirect
46. C2×#552C22semidirect
47. C2×#551C22semidirect
48. C2×#550C22semidirect
49. C2×#547C22semidirect
52. C2×#546C22semidirect
53. C2×#546C22semidirect
55. C2×D42C22semidirect
56. C2×D42C22semidirect
57. C2×#540C22semidirect
58. C2×#538C22semidirect
59. C2×#533C22semidirect
60. C2×#532C22semidirect
61. C2×#532C22semidirect
63. C2×#529C22semidirect
64. C2×#529C22semidirect
65. C2×#525C22semidirect
66. C2×#525C22semidirect
67. C2×#525C22semidirect
70. C2×#518C22semidirect
71. C2×C4×#41C22semidirect
72. C2×C4×#41C22semidirect
73. C22×C4×D4C22semidirect
74. C22×C4×D4C22semidirect
75. C22×#117C22semidirect
76. #2858C22semidirect
77. #2857C22semidirect
78. #2856C22semidirect
79. #2854C22semidirect
80. #2852C22semidirect
81. #2850C22semidirect
82. #2848C22semidirect
83. #2847C22semidirect
84. #2732C22semidirect
85. #2730C22semidirect
86. #2728C22semidirect
87. #2722C22semidirect
88. #2718C22semidirect
89. #2708C22semidirect
90. #2706C22semidirect
91. #2697C22semidirect
92. #2695C22semidirect
93. #2695C22semidirect
94. #2693C22semidirect
95. #2691C22semidirect
96. #2685C22semidirect
97. #2685C22semidirect
98. #2685C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2671C22semidirect
102. #2671C22semidirect
103. #2668C22semidirect
104. #2668C22semidirect
105. #2664C22semidirect
106. #2633C22semidirect
107. #2625C22semidirect
108. #2620C22semidirect
109. #2601C22semidirect
110. #2601C22semidirect
111. #2598C22semidirect
112. #2598C22semidirect
113. #2582C22semidirect
114. #2566C22semidirect
115. #2562C22semidirect
116. #2559C22semidirect
117. #2553C22semidirect
118. #2552C22semidirect
119. #2548C22semidirect
120. #2547C22semidirect
121. #2546C22semidirect
122. #2542C22semidirect
123. #2542C22semidirect
124. #2541C22semidirect
125. #2540C22semidirect
126. #2540C22semidirect
128. #2537C22semidirect
129. #2536C22semidirect
130. #2500C22semidirect
131. #2490C22semidirect
132. #2490C22semidirect
133. #2489C22semidirect
134. #2489C22semidirect
135. #2485C22semidirect
136. #2480C22semidirect
137. #2480C22semidirect
138. #2480C22semidirect
139. #2476C22semidirect
140. #2476C22semidirect
141. #2470C22semidirect
142. #2468C22semidirect
143. #2464C22semidirect
144. #2464C22semidirect
145. #2464C22semidirect
146. #2464C22semidirect
147. #2464C22semidirect
148. #2457C22semidirect
149. #2457C22semidirect
150. #2456C22semidirect
151. #2455C22semidirect
152. #2455C22semidirect
153. #2454C22semidirect
154. #2454C22semidirect
155. #2454C22semidirect
156. #2454C22semidirect
157. #2453C22semidirect
158. #2448C22semidirect
159. #2447C22semidirect
160. #2445C22semidirect
161. #2444C22semidirect
162. #2442C22semidirect
163. #2442C22semidirect
164. #2442C22semidirect
165. #2441C22semidirect
166. #2435C22semidirect
167. #2435C22semidirect
168. #2435C22semidirect
169. #2435C22semidirect
170. #2432C22semidirect
171. #2431C22semidirect
172. #2431C22semidirect
173. #2429C22semidirect
174. #2429C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
180. #2427C22semidirect
181. #2427C22semidirect
182. #2427C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
185. #2426C22semidirect
186. #2426C22semidirect
187. #2426C22semidirect
188. #2426C22semidirect
189. #2425C22semidirect
190. #2425C22semidirect
191. #2425C22semidirect
192. #2424C22semidirect
193. #2424C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2423C22semidirect
197. #2422C22semidirect
198. #2422C22semidirect
200. #2420C22semidirect
201. #2418C22semidirect
202. #2418C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
206. #2418C22semidirect
207. #2417C22semidirect
208. #2417C22semidirect
209. #2417C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2415C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2410C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2405C22semidirect
227. #2403C22semidirect
228. #2395C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
231. #2392C22semidirect
232. #2369C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
237. #2366C22semidirect
238. #2364C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2361C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2361C22semidirect
248. #2361C22semidirect
249. #2361C22semidirect
250. #2361C22semidirect
251. #2360C22semidirect
252. #2360C22semidirect
253. #2359C22semidirect
254. #2358C22semidirect
255. #2354C22semidirect
256. #2352C22semidirect
257. #2349C22semidirect
258. D4×C4⋊C4C22semidirect
259. D4×C4⋊C4C22semidirect
260. #2347C22semidirect
261. #2347C22semidirect
262. #2342C22semidirect
263. #2342C22semidirect
264. #2342C22semidirect
265. #2341C22semidirect
266. #2339C22semidirect
267. D4×C22⋊C4C22semidirect
268. D4×C22⋊C4C22semidirect
269. D4×C22⋊C4C22semidirect
270. D4×C22⋊C4C22semidirect
271. D4×C22⋊C4C22semidirect
272. #2337C22semidirect
273. #2324C22semidirect
274. #2324C22semidirect
275. #2324C22semidirect
276. #2316C22semidirect
277. #2309C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#120C22semidirect
292. C4×#120C22semidirect
293. #2297C22semidirect
294. #2296C22semidirect
295. #2293C22semidirect
296. #2280C22semidirect
297. #2274C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
314. #555D4semidirect
946. C4⋊Q8C2×D4semidirect
968. #124C2×D4semidirect
1023. #121C2×D4semidirect
1024. #121#41semidirect
1082. C4×D4C2×D4semidirect
1093. #117C2×D4semidirect
1094. #117C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#34752
#596602
#591032
#590572
#590522
#590442
#590352
#590042
#453522
#451062
#442312
#442262
#399622
#398872
#389572
#389232
#377282
#376702
#364422
#364382
#364102
#361502
#361252
#361072
#361002
D4×#1212
#359822
#357362
#347432
#347002
#343212
#342042
C4×#5462