Finite Group Databasebeta

← #7630789

Subgroups — #7630789

Order 512.

8402 conjugacy classes of subgroups.

The subgroup lattice has 1962 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C211yesmaximal, characteristic, complemented
2C2×C4×H(5,𝔽2)C211yesmaximal, characteristic, complemented
3#36075C211yesmaximal, characteristic, complemented
4#36070C212yesmaximal, complemented
5#36067C211yesmaximal, characteristic, complemented
6#35995C211yesmaximal, characteristic, complemented
7#35990C212yesmaximal, complemented
8#35987C211yesmaximal, characteristic, complemented
9#35787C212yesmaximal, complemented
10#35777C214yesmaximal, complemented
11#35776C212yesmaximal, complemented
12#35772C212yesmaximal, complemented
13#35762C214yesmaximal, complemented
14#35761C212yesmaximal, complemented
15#35759C211yesmaximal, characteristic, complemented
16#35753C212yesmaximal, complemented
17#35750C211yesmaximal, characteristic, complemented
18#35689C211yesmaximal, characteristic, complemented
19#35683C212yesmaximal, complemented
20#35680C211yesmaximal, characteristic, complemented
21#35236C211yesmaximal, characteristic, complemented
22#35233C211yesmaximal, characteristic, complemented
23#35205C212yesmaximal, complemented
24#35195C212yesmaximal, complemented
25#35143C212yesmaximal, complemented
26#35130C212yesmaximal, complemented
27#34991C214yesmaximal, complemented
28#34990C214yesmaximal, complemented
29#34636C211yesmaximal, characteristic, complemented
30#34614C211yesmaximal, characteristic, complemented
31#34593C212yesmaximal, complemented
32C2×#2636C212yesmaximal, complemented
33#34290C212yesmaximal, complemented
34#34288C212yesmaximal, complemented
35#34191C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2211yescharacteristic
37#3521—216no—
38C2×#556C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic, complemented
41C2×#553C2211yescharacteristic, complemented
42C2×#553C2212yescomplemented
43C2×#552C2212yescomplemented
44C2×#552C2211yescharacteristic, complemented
45C2×#551C2212yescomplemented
46C2×#551C2212yescomplemented
47C2×#547C2211yescharacteristic
48C2×#546C2211yescharacteristic
49C2×#546C2212yes—
50C2×#546C2211yescharacteristic, complemented
51C2×D42C2212yes—
52C2×#542C2211yescharacteristic, complemented
53C2×#541C2211yescharacteristic, complemented
54C2×#539C2212yescomplemented
55C2×#538C2212yescomplemented
56C2×#529C2212yescomplemented
57C2×#529C2211yescharacteristic, complemented
58C2×#529C2211yescharacteristic, complemented
59C22×#126C2212yescomplemented
60C4×H(5,𝔽2)—216no—
61C2×#520C2211yescharacteristic
62C2×#520C2211yescharacteristic, complemented
63C2×#520C2211yescharacteristic, complemented
64C2×#520C2212yescomplemented
65C2×#520C2212yescomplemented
66C2×#518C2212yes—
67C2×#518C2211yescharacteristic, complemented
68C2×#518C2212yescomplemented
69C2×#518C2211yescharacteristic, complemented
70C2×#518C2214yescomplemented
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic, complemented
73C2×C4×#41C2212yescomplemented
74C2×C4×#41C2212yescomplemented
75C22×C4×D4C2212yes—
76C22×C4×D4C2212yescomplemented
77C22×C4×D4C2211yescharacteristic, complemented
78C22×C4×D4C2214yescomplemented
79#2852C2214yescomplemented
80#2852C2214yescomplemented
81#2851C2214yescomplemented
82#2850C2214yescomplemented
83#2849C2214yescomplemented
84#2848C2212yescomplemented
85#2847C2212yescomplemented
86#2638C2212yescomplemented
87#2637C2212yescomplemented
88#2637C2211yescharacteristic, complemented
89#2637C2211yescharacteristic, complemented
90#2636C2211yescharacteristic, complemented
91#2636C2212yescomplemented
92#2636C2212yescomplemented
93#2636C2212yescomplemented
94#2636C2212yescomplemented
95#2636C2212yescomplemented
96#2636C2214yescomplemented
97#2636C2214yescomplemented
98#2636C2212yescomplemented
99#2636C2212yescomplemented
100#2636C2214yescomplemented
101#2636C2214yescomplemented
102#2636C2211yescharacteristic, complemented
103#2636C2212yescomplemented
104#2636C2212yescomplemented
105#2635C2212yescomplemented
106#2634C2211yescharacteristic, complemented
107#2633C2214yescomplemented
108#2633C2211yescharacteristic, complemented
109#2632C2211yescharacteristic, complemented
110#2631C2214yescomplemented
111#2631C2211yescharacteristic, complemented
112#2630C2214yescomplemented
113#2630C2212yescomplemented
114#2630C2212yescomplemented
115#2629C2212yescomplemented
116#2626C2214yescomplemented
117#2625C2211yescharacteristic, complemented
118#2624C2211yescharacteristic, complemented
119#2623C2212yescomplemented
120#2623C2212yescomplemented
121#2620C2212yescomplemented
122#2617C2214yescomplemented
123#2616C2211yescharacteristic, complemented
124#2615C2211yescharacteristic
125#2613C2212yes—
126#2613C2212yescomplemented
127#2609C2214yescomplemented
128#2609C2214yescomplemented
129#2604C2212yescomplemented
130#2604C2212yescomplemented
131#2603C2212yescomplemented
132#2603C2212yescomplemented
133#2601C2214yescomplemented
134#2601C2214yescomplemented
135#2598C2212yescomplemented
136#2598C2212yescomplemented
137#2581C2212yescomplemented
138#2580C2212yescomplemented
139#2579C2214yescomplemented
140#2566C2212yescomplemented
141#2562C2212yescomplemented
142#2544C2212yescomplemented
143#2540C2212yescomplemented
144#2538C2212yescomplemented
145#2537C2212yescomplemented
146#2536C2212yescomplemented
147#2535C2212yescomplemented
148#2534C2214yescomplemented
149#2534C2214yescomplemented
150#2503C2211yescharacteristic, complemented
151#2501C2211yescharacteristic, complemented
152#2498C2212yescomplemented
153#2498C2212yescomplemented
154#2487C2211yescharacteristic, complemented
155#2487C2211yescharacteristic, complemented
156#2484C2212yescomplemented
157#2482C2212yescomplemented
158#2481C2214yescomplemented
159#2480C2214yescomplemented
160#2479C2214yescomplemented
161#2477C2214yescomplemented
162#2475C2214yescomplemented
163#2473C2214yescomplemented
164#2472C2214yescomplemented
165#2471C2214yescomplemented
166#2467C2214yescomplemented
167#2467C2214yescomplemented
168#2466C2214yescomplemented
169#2463C2214yescomplemented
170#2463C2214yescomplemented
171#2460C2214yescomplemented
172#2460C2214yescomplemented
173#2459C2214yescomplemented
174#2456C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2214yescomplemented
177#2455C2214yescomplemented
178#2454C2212yescomplemented
179#2452C2212yescomplemented
180#2450C2214yescomplemented
181#2449C2214yescomplemented
182#2449C2214yescomplemented
183#2448C2212yescomplemented
184#2446C2212yescomplemented
185#2444C2214yescomplemented
186#2443C2214yescomplemented
187#2443C2214yescomplemented
188#2441C2212yescomplemented
189#2439C2212yescomplemented
190#2437C2214yescomplemented
191#2437C2214yescomplemented
192#2435C2211yescharacteristic, complemented
193#2433C2211yescharacteristic
194#2432C2212yescomplemented
195#2431C2212yes—
196#2430C2212yes—
197#2430C2212yescomplemented
198#2428C2212yescomplemented
199#2427C2212yescomplemented
200#2425C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2423C2212yescomplemented
204#2421C2212yescomplemented
205#2419C2214yescomplemented
206#2418C2214yescomplemented
207#2418C2214yescomplemented
208#2417C2214yescomplemented
209#2416C2214yescomplemented
210#2415C2212yescomplemented
211#2414C2212yescomplemented
212#2412C2214yescomplemented
213#2411C2212yescomplemented
214#2411C2212yescomplemented
215#2410C2214yes—
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2408C2211yescharacteristic
219#2408C2211yescharacteristic, complemented
220#2407C2212yes—
221#2407C2212yescomplemented
222#2406C2212yescomplemented
223#2405C2214yescomplemented
224#2404C2212yes—
225#2403C2214yes—
226#2398C2212yescomplemented
227#2398C2212yescomplemented
228#2397C2212yescomplemented
229#2397C2212yescomplemented
230#2396C2212yescomplemented
231#2396C2212yescomplemented
232#2395C2211yescharacteristic, complemented
233#2395C2211yescharacteristic, complemented
234C2×#400C2212yescomplemented
235C2×#399C2212yescomplemented
236#2392C2214yescomplemented
237#2392C2214yescomplemented
238#2392C2212yescomplemented
239#2392C2214yescomplemented
240#2392C2212yescomplemented
241C2×#396C2214yescomplemented
242#2388C2211yescharacteristic
243#2388C2211yescharacteristic, complemented
244C2×#394C2212yescomplemented
245C2×#394C2214yescomplemented
246C2×#392C2212yes—
247#2367C2212yescomplemented
248#2366C2212yescomplemented
249#2364C2214yescomplemented
250#2363C2212yescomplemented
251#2361C2212yescomplemented
252#2361C2214yescomplemented
253#2361C2212yescomplemented
254#2360C2212yescomplemented
255#2359C2214yescomplemented
256#2358C2214yescomplemented
257#2358C2214yescomplemented
258#2358C2214yescomplemented
259#2355C2212yescomplemented
260#2352C2214yescomplemented
261#2352C2212yescomplemented
262#2349C2212yescomplemented
263D4×C4⋊C4C2212yescomplemented
264D4×C4⋊C4C2212yescomplemented
265D4×C4⋊C4C2212yescomplemented
266#2346C2211yescharacteristic, complemented
267#2346C2211yescharacteristic, complemented
268#2343C2212yescomplemented
269#2343C2212yescomplemented
270#2342C2214yescomplemented
271#2339C2211yescharacteristic
272#2339C2211yescharacteristic
273#2339C2212yescomplemented
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2212yes—
276D4×C22⋊C4C2214yescomplemented
277D4×C22⋊C4C2212yescomplemented
278#2328C2212yescomplemented
279#2326C2212yescomplemented
280#2325C2214yescomplemented
281#2325C2214yescomplemented
282#2324C2212yescomplemented
283#2324C2212yescomplemented
284#2322C2214yescomplemented
285#2321C2214yescomplemented
286#2320C2212yescomplemented
287#2318C2214yescomplemented
288C4×C22⋊Q8C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#120C2214yescomplemented
291C4×#120C2214yescomplemented
292#2290C2212yescomplemented
293#2290C2212yescomplemented
294C2×#386C2214yescomplemented
295C2×#385C2214yescomplemented
296#2285C2211yescharacteristic, complemented
297#2283C2212yescomplemented
298#2283C2211yescharacteristic, complemented
299C2×#382C2212yescomplemented
300#2275C2212yescomplemented
301C2×H(5,𝔽2)—28no—
302C2×H(5,𝔽2)—216no—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2314yes—
310C23×D4C2311yescharacteristic
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C23×D4C2314yes—
314C24×C4C2312yes—
315C24×C4C2314yes—
316#556—28no—
317#556—28no—
318#554—28no—
319#553—216no—
320#553—28no—
321#552—28no—
322#552—216no—
323#551—216no—
324#551—216no—
325#547—28no—
326#546—28no—
327#546—216no—
328#546—28no—
329D42—216no—
330#542—28no—
331#541—28no—
332#539—216no—
333#538—216no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×#127C2312yes—
337#529—216no—
338#529—28no—
339#529—28no—
340C2×#126—216no—
341C2×#126C2312yes—
342C2×#126C2312yes—
343C2×#126C2312yes—
344C2×#126C2312yes—
345C2×#126C2312yes—
346C2×#126C2312yes—
347C2×#126C2311yescharacteristic
348C2×#126C2312yes—
349C2×#126C2311yescharacteristic
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#125C2311yescharacteristic
354C2×#125C2311yescharacteristic
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2311yescharacteristic
362C2×#124C2311yescharacteristic
363C2×#124C2312yes—
364C2×#124C2311yescharacteristic
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2312yes—
368C2×#123C2312yes—
369C2×#123C2311yescharacteristic
370C2×#123C2311yescharacteristic
371C2×#123C2312yes—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×C22⋊Q8C2311yescharacteristic
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2311yescharacteristic
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2311yescharacteristic
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2311yescharacteristic
395C2×#121C2312yes—
396C2×#121C2311yescharacteristic
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2311yescharacteristic
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407C2×#120C2312yes—
408C2×#120C2312yes—
409C2×#120C2312yes—
410C2×#120C2312yes—
411C2×#120C2314yes—
412#520—28no—
413#520—216no—
414#520—28no—
415#520—216no—
416#520—28no—
417#518—216no—
418#518—28no—
419#518—232no—
420#518—216no—
421#518—28no—
422C4×#41—216no—
423C4×#41—216no—
424C4×#41—28no—
425C4×#41D4116yescomplemented
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×D4—216no—
437C2×C4×D4—232no—
438C2×C4×D4—216no—
439C2×C4×D4—28no—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×#117C2311yescharacteristic
491C2×#117C2311yescharacteristic
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2314yes—
495C2×#117C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2314yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2314yes—
514C22×C4⋊C4C2314yes—
515C22×C4⋊C4C2314yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2312yes—
518C22×C22⋊C4C2314yes—
519C22×C22⋊C4C2314yes—
520C22×C22⋊C4C2314yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2314yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2314yes—
526C22×C22⋊C4C2314yes—
527C22×C22⋊C4C2314yes—
528C22×C22⋊C4C2314yes—
529C22×C42C2314yes—
530C22×C42C2312yes—
531C22×C42C2312yes—
532C22×C42C2311yescharacteristic
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2311yescharacteristic
538#400C2312yes—
539#400C2312yes—
540#400C2311yescharacteristic
541#400C2314yes—
542#400C2314yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2311yescharacteristic
548#399C2312yes—
549#399C2314yes—
550#399C2314yes—
551#399C2311yescharacteristic
552#399C2312yes—
553#399C2314yes—
554#399C2314yes—
555#398C2312yes—
556#398C2314yes—
557#398C2311yescharacteristic
558#398C2312yes—
559#398C2312yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2311yescharacteristic
564#398C2312yes—
565#397C2311yescharacteristic
566#397C2312yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2312yes—
573#397C2312yes—
574#397C2311yescharacteristic
575#397C2312yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2312yes—
580#396C2314yes—
581#396C2312yes—
582#396C2314yes—
583#396C2314yes—
584#396C2312yes—
585#396C2314yes—
586#396C2314yes—
587#396C2312yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#395C2311yescharacteristic
593#395C2312yes—
594#395C2311yescharacteristic
595#395C2312yes—
596#394C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2312yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2311yescharacteristic
605#394C2314yes—
606#394C2312yes—
607#394C2314yes—
608#394C2314yes—
609#394C2312yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2311yescharacteristic
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#393C2311yescharacteristic
627#393C2312yes—
628#393C2311yescharacteristic
629#393C2314yes—
630#393C2314yes—
631#393C2312yes—
632#392C2312yes—
633#392C2312yes—
634#392C2312yes—
635#392C2312yes—
636#392C2314yes—
637#392C2311yescharacteristic
638#392C2314yes—
639#392C2312yes—
640#392C2314yes—
641#392C2314yes—
642#392C2314yes—
643#392C2312yes—
644#392C2312yes—
645#392C2312yes—
646#392C2311yescharacteristic
647#392C2314yes—
648#392C2314yes—
649#391C2312yes—
650#391C2312yes—
651#391C2314yes—
652#391C2312yes—
653#391C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2314yes—
657#390C2314yes—
658#390C2312yes—
659#390C2312yes—
660#390C2314yes—
661#390C2314yes—
662#390C2314yes—
663#390C2312yes—
664#390C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2314yes—
668#389C2314yes—
669#389C2312yes—
670#389C2312yes—
671#389C2314yes—
672#389C2314yes—
673#389C2312yes—
674#389C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2312yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2312yes—
714#387C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2312yes—
767#385C2312yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2312yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2312yes—
782#385C2312yes—
783#384C2312yes—
784#384C2312yes—
785#383C2314yes—
786#383C2311yescharacteristic
787#383C2311yescharacteristic
788#382C2312yes—
789#382C2314yes—
790#382C2312yes—
791#382C2312yes—
792#382C2314yes—
793#382C2311yescharacteristic
794#382C2312yes—
795#382C2311yescharacteristic
796#381C2312yes—
797#381C2314yes—
798#381C2314yes—
799#381C2312yes—
800#381C2312yes—
801#380C2314yes—
802#380C2314yes—
803#380C2312yes—
804#380C2314yes—
805#380C2312yes—
806#380C2312yes—
807#380C2314yes—
808#380C2314yes—
809#380C2312yes—
810#380C2312yes—
811#380C2311yescharacteristic
812#380C2311yescharacteristic
813#380C2314yes—
814#380C2314yes—
815#380C2312yes—
816#379C2314yes—
817#379C2312yes—
818#379C2312yes—
819#379C2314yes—
820#379C2314yes—
821#379C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846#376C2312yes—
847#376C2312yes—
848#376C2312yes—
849C2×#95C2314yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2314yes—
853C2×#95C2314yes—
854C25C2412yes—
855C25C2412yes—
856C25C2414yes—
857H(5,𝔽2)—2128no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—216no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—28no—
865C2×#41—24no—
866C2×#41—28no—
867C2×#41—28no—
868C2×#41C2×D418yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×D4—216no—
875C22×D4—216no—
876C22×D4—216no—
877C22×D4—28no—
878C22×D4—216no—
879C22×D4—28no—
880C22×D4—28no—
881C22×D4—216no—
882C22×D4—24no—
883C22×D4—28no—
884C22×D4—28no—
885C22×D4—24no—
886C22×D4—84no—
887C22×D4—84no—
888C22×D4#41116yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2411yescharacteristic
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2411yescharacteristic
905C22×D4C2411yescharacteristic
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2411yescharacteristic
912C23×C4—216no—
913C23×C4—28no—
914C23×C4—84no—
915C23×C4—84no—
916C23×C4—84no—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2412yes—
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2414yes—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2411yescharacteristic
942C23×C4C2412yes—
943C23×C4C2411yescharacteristic
944C4⋊Q8—24no—
945C4⋊Q8—24no—
946#127—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—24no—
951#126—28no—
952#126—28no—
953#126—28no—
954#126—28no—
955#126—28no—
956#126—28no—
957#126—28no—
958#126—24no—
959#125—28no—
960#125—28no—
961#125—24no—
962#125—28no—
963#125—24no—
964#125—24no—
965#124—24no—
966#124—28no—
967#124—28no—
968#124—28no—
969#124—24no—
970#124—24no—
971#123—28no—
972#123—216no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—24no—
977#123—24no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—84no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—24no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—84no—
995C22⋊Q8—84no—
996#121—28no—
997#121—28no—
998#121—28no—
999#121—216no—
1000#121—28no—
1001#121—216no—
1002#121—24no—
1003#121—24no—
1004#121—28no—
1005#121—28no—
1006#121—24no—
1007#121—28no—
1008#121—84no—
1009#121—84no—
1010#120—216no—
1011#120—216no—
1012#120—28no—
1013#120—216no—
1014#120—28no—
1015#120—82no—
1016#120—84no—
1017#120—82no—
1018C4×Q8—28no—
1019C4×Q8—24no—
1020C4×Q8—24no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—28no—
1025C4×Q8—24no—
1026C4×Q8C2×D418yescomplemented
1027C4×Q8C2×D418yescomplemented
1028C4×D4—216no—
1029C4×D4—28no—
1030C4×D4—24no—
1031C4×D4—24no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—216no—
1035C4×D4—28no—
1036C4×D4—216no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—28no—
1048C4×D4—216no—
1049C4×D4—24no—
1050C4×D4—216no—
1051C4×D4—216no—
1052C4×D4—216no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—216no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—216no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—24no—
1065C4×D4—28no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—84no—
1070C4×D4—84no—
1071C4×D4—84no—
1072C4×D4—84no—
1073C4×D4—84no—
1074C4×D4C2×D418yes—
1075C4×D4C2×D418yes—
1076C4×D4C2×D4116yescomplemented
1077C4×D4C2×D4116yescomplemented
1078#117—28no—
1079#117—24no—
1080#117—28no—
1081#117—216no—
1082#117—24no—
1083#117—28no—
1084#117—216no—
1085#117—28no—
1086#117—24no—
1087#117—24no—
1088#117—28no—
1089#117—28no—
1090#117—28no—
1091#117—82no—
1092#117C2×D4116yescomplemented
1093#117C2×D418yescomplemented
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—24no—
1096C2×C4⋊C4—28no—
1097C2×C4⋊C4—28no—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—28no—
1100C2×C4⋊C4—216no—
1101C2×C4⋊C4—24no—
1102C2×C4⋊C4—84no—
1103C2×C4⋊C4—84no—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2412yes—
1163C2×C22⋊C4—216no—
1164C2×C22⋊C4—216no—
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—216no—
1170C2×C22⋊C4—216no—
1171C2×C22⋊C4—216no—
1172C2×C22⋊C4—28no—
1173C2×C22⋊C4—84no—
1174C2×C22⋊C4—84no—
1175C2×C22⋊C4—84no—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C42—28no—
1254C2×C42—216no—
1255C2×C42C2×D4116yescomplemented
1256C2×C42C2×D418yescomplemented
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2414yes—
1260C2×C42C2414yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2414yes—
1270C2×C42C2414yes—
1271C2×C42C2414yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2412yes—
1274C2×C42C2411yescharacteristic
1275C2×C42C2412yes—
1276C2×C42C2411yescharacteristic
1277C2×C42C2412yes—
1278C2×C42C2411yescharacteristic
1279#95C2412yes—
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2411yescharacteristic
1298#95C2411yescharacteristic
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2414yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2412yes—
1326C24—24no—
1327C24—28no—
1328C24—28no—
1329C24—28no—
1330C24—24no—
1331C24—28no—
1332C24—44no—
1333C24—44no—
1334C24—44no—
1335C24—44no—
1336C24—44no—
1337C24—42no—
1338C24—44no—
1339C24—42no—
1340C24—42no—
1341C24—42no—
1342C24C2×#41116yes—
1343C24C2511yescharacteristic
1344C24C2512yes—
1345C24C2511yescharacteristic
1346C24C2511yescharacteristic
1347C24C2514yes—
1348C24C2512yes—
1349C24C2512yes—
1350#41—264no—
1351#41—264no—
1352#41—232no—
1353#41—232no—
1354#41—416no—
1355C2×Q8—22no—
1356C2×Q8—22no—
1357C2×Q8—22no—
1358C2×Q8—24no—
1359C2×Q8—24no—
1360C2×Q8—24no—
1361C2×Q8—24no—
1362C2×Q8—42no—
1363C2×Q8—42no—
1364C2×Q8—42no—
1365C2×Q8C22×D414yes—
1366C2×D4—2128no—
1367C2×D4—264no—
1368C2×D4—232no—
1369C2×D4—24no—
1370C2×D4—28no—
1371C2×D4—28no—
1372C2×D4—28no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—24no—
1376C2×D4—28no—
1377C2×D4—28no—
1378C2×D4—264no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—28no—
1384C2×D4—28no—
1385C2×D4—28no—
1386C2×D4—22no—
1387C2×D4—24no—
1388C2×D4—22no—
1389C2×D4—28no—
1390C2×D4—28no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—28no—
1394C2×D4—24no—
1395C2×D4—22no—
1396C2×D4—24no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—42no—
1422C2×D4—41no—
1423C2×D4—44no—
1424C2×D4—41no—
1425C2×D4—416no—
1426C2×D4—832no—
1427C2×D4C22×D418yes—
1428C2×D4C22×D414yes—
1429C2×D4C2×#41116yes—
1430C2×D4C2×#4118yes—
1431C2×D4C2×#4118yes—
1432C22×C4—28no—
1433C22×C4—28no—
1434C22×C4—28no—
1435C22×C4—24no—
1436C22×C4—28no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—28no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—28no—
1445C22×C4—28no—
1446C22×C4—28no—
1447C22×C4—24no—
1448C22×C4—28no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—28no—
1455C22×C4—28no—
1456C22×C4—28no—
1457C22×C4—28no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—42no—
1462C22×C4—41no—
1463C22×C4—44no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—44no—
1467C22×C4—42no—
1468C22×C4—44no—
1469C22×C4—41no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—44no—
1494C22×C4—42no—
1495C22×C4—832no—
1496C22×C4—816no—
1497C22×C4C22×D418yes—
1498C22×C4C22×D414yes—
1499C22×C4C22×D418yes—
1500C22×C4C22×D414yes—
1501C22×C4C22×D418yes—
1502C22×C4C22×D414yes—
1503C22×C4C2×#4118yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2514yes—
1508C22×C4C2514yes—
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2512yes—
1513C22×C4C2511yescharacteristic
1514C22×C4C2512yes—
1515C22×C4C2514yes—
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C4⋊C4—28no—
1533C4⋊C4—24no—
1534C4⋊C4—28no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—22no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—22no—
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—28no—
1571C4⋊C4—42no—
1572C4⋊C4—42no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—42no—
1587C4⋊C4C22×D414yes—
1588C4⋊C4C22×D418yes—
1589C4⋊C4C22×D414yes—
1590C4⋊C4C22×D418yes—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—22no—
1596C22⋊C4—24no—
1597C22⋊C4—22no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—28no—
1602C22⋊C4—24no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—24no—
1609C22⋊C4—28no—
1610C22⋊C4—28no—
1611C22⋊C4—28no—
1612C22⋊C4—24no—
1613C22⋊C4—28no—
1614C22⋊C4—22no—
1615C22⋊C4—22no—
1616C22⋊C4—24no—
1617C22⋊C4—22no—
1618C22⋊C4—22no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—22no—
1628C22⋊C4—22no—
1629C22⋊C4—22no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—22no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—28no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—42no—
1665C22⋊C4C22×D418yes—
1666C22⋊C4C22×D418yes—
1667C22⋊C4C22×D418yes—
1668C42—24no—
1669C42—24no—
1670C42—28no—
1671C42—28no—
1672C42—24no—
1673C42—24no—
1674C42—24no—
1675C42—24no—
1676C42—22no—
1677C42—22no—
1678C42—24no—
1679C42—24no—
1680C42—44no—
1681C42—44no—
1682C42—44no—
1683C42C22×D414yes—
1684C42C22×D418yes—
1685C42C22×D414yes—
1686C42C22×D418yes—
1687C42C22×D414yes—
1688C42C22×D414yes—
1689C42C22×D418yes—
1690C23—22no—
1691C23—24no—
1692C23—22no—
1693C23—216no—
1694C23—24no—
1695C23—22no—
1696C23—22no—
1697C23—24no—
1698C23—22no—
1699C23—21no—
1700C23—22no—
1701C23—24no—
1702C23—22no—
1703C23—24no—
1704C23—22no—
1705C23—22no—
1706C23—24no—
1707C23—22no—
1708C23—24no—
1709C23—21no—
1710C23—232no—
1711C23—21no—
1712C23—22no—
1713C23—21no—
1714C23—22no—
1715C23—22no—
1716C23—24no—
1717C23—22no—
1718C23—24no—
1719C23—22no—
1720C23—22no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—22no—
1725C23—21no—
1726C23—416no—
1727C23—416no—
1728C23—48no—
1729C23—88no—
1730C23—84no—
1731C23—88no—
1732C23—88no—
1733C23—88no—
1734C23—88no—
1735C23—88no—
1736C23—84no—
1737C23—88no—
1738C23—88no—
1739C23—84no—
1740C23—84no—
1741C23C23×D412yes—
1742C23C23×D414yes—
1743C23C22×#4118yes—
1744C23C22×#4114yes—
1745C23C22×#4118yes—
1746C23C2611yescharacteristic
1747Q8—28no—
1748Q8—28no—
1749Q8—44no—
1750Q8—82no—
1751Q8—84no—
1752D4—232no—
1753D4—216no—
1754D4—28no—
1755D4—216no—
1756D4—216no—
1757D4—232no—
1758D4—216no—
1759D4—48no—
1760D4—416no—
1761D4—48no—
1762D4—48no—
1763D4—48no—
1764D4—44no—
1765D4—82no—
1766D4—84no—
1767D4—88no—
1768D4—88no—
1769D4—84no—
1770D4—82no—
1771D4—82no—
1772D4—88no—
1773D4—88no—
1774D4#525116yes—
1775C2×C4—232no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—24no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—216no—
1790C2×C4—28no—
1791C2×C4—216no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—48no—
1841C2×C4—44no—
1842C2×C4—44no—
1843C2×C4—48no—
1844C2×C4—48no—
1845C2×C4—416no—
1846C2×C4—48no—
1847C2×C4—44no—
1848C2×C4—44no—
1849C2×C4—84no—
1850C2×C4—84no—
1851C2×C4—84no—
1852C2×C4—84no—
1853C2×C4—88no—
1854C2×C4—88no—
1855C2×C4—88no—
1856C2×C4—88no—
1857C2×C4—88no—
1858C2×C4—84no—
1859C2×C4—84no—
1860C2×C4—88no—
1861C2×C4—84no—
1862C2×C4—88no—
1863C2×C4C23×D412yes—
1864C2×C4C23×D412yes—
1865C2×C4C23×D414yes—
1866C2×C4C23×D414yes—
1867C2×C4C23×D414yes—
1868C2×C4C23×D412yes—
1869C2×C4C23×D412yes—
1870C2×C4C23×D412yes—
1871C2×C4C23×D412yes—
1872C2×C4C22×#4114yes—
1873C2×C4C22×#4114yes—
1874C22—28no—
1875C22—28no—
1876C22—24no—
1877C22—24no—
1878C22—24no—
1879C22—28no—
1880C22—24no—
1881C22—28no—
1882C22—22no—
1883C22—22no—
1884C22—22no—
1885C22—28no—
1886C22—24no—
1887C22—42no—
1888C22—42no—
1889C22—44no—
1890C22—42no—
1891C22—42no—
1892C22—44no—
1893C22—42no—
1894C22—44no—
1895C22—42no—
1896C22—44no—
1897C22—42no—
1898C22—44no—
1899C22—42no—
1900C22—42no—
1901C22—44no—
1902C22—42no—
1903C22—41no—
1904C22—42no—
1905C22—41no—
1906C22—42no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—42no—
1912C22—832no—
1913C22—816no—
1914C22—168no—
1915C22C2×#52518yes—
1916C22C24×D411yescharacteristic
1917C22C23×#4112yes—
1918C22H(7,𝔽2)11yescharacteristic
1919C22H(7,𝔽2)12yes—
1920C222−1+611yescharacteristic
1921C4—22no—
1922C4—24no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—24no—
1927C4—24no—
1928C4—22no—
1929C4—24no—
1930C4—42no—
1931C4—42no—
1932C4—44no—
1933C4—44no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—44no—
1938C4—42no—
1939C4—41no—
1940C4—41no—
1941C4—42no—
1942C4—41no—
1943C4—42no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—42no—
1948C4C2×#52514yes—
1949C2—28no—
1950C2—44no—
1951C2—48no—
1952C2—42no—
1953C2—81no—
1954C2—82no—
1955C2—81no—
1956C2C22×#52511yescharacteristic
1957C2#6284612yes—
1958C2#6284712yes—
1959C2#6285211yescharacteristic
1960C2#6285311yescharacteristic
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×#3521C2semidirect
2. C2×C4×H(5,𝔽2)C2semidirect
3. #36075C2semidirect
4. #36070C2semidirect
5. #36067C2semidirect
6. #35995C2semidirect
7. #35990C2semidirect
8. #35987C2semidirect
9. #35787C2semidirect
10. #35777C2semidirect
11. #35776C2semidirect
12. #35772C2semidirect
13. #35762C2semidirect
14. #35761C2semidirect
15. #35759C2semidirect
16. #35753C2semidirect
17. #35750C2semidirect
18. #35689C2semidirect
19. #35683C2semidirect
20. #35680C2semidirect
21. #35236C2semidirect
22. #35233C2semidirect
23. #35205C2semidirect
24. #35195C2semidirect
25. #35143C2semidirect
26. #35130C2semidirect
27. #34991C2semidirect
28. #34990C2semidirect
29. #34636C2semidirect
30. #34614C2semidirect
31. #34593C2semidirect
32. C2×#2636C2semidirect
33. #34290C2semidirect
34. #34288C2semidirect
35. #34191C2semidirect
38. C2×#556C22semidirect
39. C2×#556C22semidirect
40. C2×#554C22semidirect
41. C2×#553C22semidirect
42. C2×#553C22semidirect
43. C2×#552C22semidirect
44. C2×#552C22semidirect
45. C2×#551C22semidirect
46. C2×#551C22semidirect
50. C2×#546C22semidirect
52. C2×#542C22semidirect
53. C2×#541C22semidirect
54. C2×#539C22semidirect
55. C2×#538C22semidirect
56. C2×#529C22semidirect
57. C2×#529C22semidirect
58. C2×#529C22semidirect
59. C22×#126C22semidirect
62. C2×#520C22semidirect
63. C2×#520C22semidirect
64. C2×#520C22semidirect
65. C2×#520C22semidirect
67. C2×#518C22semidirect
68. C2×#518C22semidirect
69. C2×#518C22semidirect
70. C2×#518C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
74. C2×C4×#41C22semidirect
76. C22×C4×D4C22semidirect
77. C22×C4×D4C22semidirect
78. C22×C4×D4C22semidirect
79. #2852C22semidirect
80. #2852C22semidirect
81. #2851C22semidirect
82. #2850C22semidirect
83. #2849C22semidirect
84. #2848C22semidirect
85. #2847C22semidirect
86. #2638C22semidirect
87. #2637C22semidirect
88. #2637C22semidirect
89. #2637C22semidirect
90. #2636C22semidirect
91. #2636C22semidirect
92. #2636C22semidirect
93. #2636C22semidirect
94. #2636C22semidirect
95. #2636C22semidirect
96. #2636C22semidirect
97. #2636C22semidirect
98. #2636C22semidirect
99. #2636C22semidirect
100. #2636C22semidirect
101. #2636C22semidirect
102. #2636C22semidirect
103. #2636C22semidirect
104. #2636C22semidirect
105. #2635C22semidirect
106. #2634C22semidirect
107. #2633C22semidirect
108. #2633C22semidirect
109. #2632C22semidirect
110. #2631C22semidirect
111. #2631C22semidirect
112. #2630C22semidirect
113. #2630C22semidirect
114. #2630C22semidirect
115. #2629C22semidirect
116. #2626C22semidirect
117. #2625C22semidirect
118. #2624C22semidirect
119. #2623C22semidirect
120. #2623C22semidirect
121. #2620C22semidirect
122. #2617C22semidirect
123. #2616C22semidirect
126. #2613C22semidirect
127. #2609C22semidirect
128. #2609C22semidirect
129. #2604C22semidirect
130. #2604C22semidirect
131. #2603C22semidirect
132. #2603C22semidirect
133. #2601C22semidirect
134. #2601C22semidirect
135. #2598C22semidirect
136. #2598C22semidirect
137. #2581C22semidirect
138. #2580C22semidirect
139. #2579C22semidirect
140. #2566C22semidirect
141. #2562C22semidirect
142. #2544C22semidirect
143. #2540C22semidirect
144. #2538C22semidirect
145. #2537C22semidirect
146. #2536C22semidirect
147. #2535C22semidirect
148. #2534C22semidirect
149. #2534C22semidirect
150. #2503C22semidirect
151. #2501C22semidirect
152. #2498C22semidirect
153. #2498C22semidirect
154. #2487C22semidirect
155. #2487C22semidirect
156. #2484C22semidirect
157. #2482C22semidirect
158. #2481C22semidirect
159. #2480C22semidirect
160. #2479C22semidirect
161. #2477C22semidirect
162. #2475C22semidirect
163. #2473C22semidirect
164. #2472C22semidirect
165. #2471C22semidirect
166. #2467C22semidirect
167. #2467C22semidirect
168. #2466C22semidirect
169. #2463C22semidirect
170. #2463C22semidirect
171. #2460C22semidirect
172. #2460C22semidirect
173. #2459C22semidirect
174. #2456C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
177. #2455C22semidirect
178. #2454C22semidirect
179. #2452C22semidirect
180. #2450C22semidirect
181. #2449C22semidirect
182. #2449C22semidirect
183. #2448C22semidirect
184. #2446C22semidirect
185. #2444C22semidirect
186. #2443C22semidirect
187. #2443C22semidirect
188. #2441C22semidirect
189. #2439C22semidirect
190. #2437C22semidirect
191. #2437C22semidirect
192. #2435C22semidirect
194. #2432C22semidirect
197. #2430C22semidirect
198. #2428C22semidirect
199. #2427C22semidirect
200. #2425C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2423C22semidirect
204. #2421C22semidirect
205. #2419C22semidirect
206. #2418C22semidirect
207. #2418C22semidirect
208. #2417C22semidirect
209. #2416C22semidirect
210. #2415C22semidirect
211. #2414C22semidirect
212. #2412C22semidirect
213. #2411C22semidirect
214. #2411C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
219. #2408C22semidirect
221. #2407C22semidirect
222. #2406C22semidirect
223. #2405C22semidirect
226. #2398C22semidirect
227. #2398C22semidirect
228. #2397C22semidirect
229. #2397C22semidirect
230. #2396C22semidirect
231. #2396C22semidirect
232. #2395C22semidirect
233. #2395C22semidirect
234. C2×#400C22semidirect
235. C2×#399C22semidirect
236. #2392C22semidirect
237. #2392C22semidirect
238. #2392C22semidirect
239. #2392C22semidirect
240. #2392C22semidirect
241. C2×#396C22semidirect
243. #2388C22semidirect
244. C2×#394C22semidirect
245. C2×#394C22semidirect
247. #2367C22semidirect
248. #2366C22semidirect
249. #2364C22semidirect
250. #2363C22semidirect
251. #2361C22semidirect
252. #2361C22semidirect
253. #2361C22semidirect
254. #2360C22semidirect
255. #2359C22semidirect
256. #2358C22semidirect
257. #2358C22semidirect
258. #2358C22semidirect
259. #2355C22semidirect
260. #2352C22semidirect
261. #2352C22semidirect
262. #2349C22semidirect
263. D4×C4⋊C4C22semidirect
264. D4×C4⋊C4C22semidirect
265. D4×C4⋊C4C22semidirect
266. #2346C22semidirect
267. #2346C22semidirect
268. #2343C22semidirect
269. #2343C22semidirect
270. #2342C22semidirect
273. #2339C22semidirect
276. D4×C22⋊C4C22semidirect
277. D4×C22⋊C4C22semidirect
278. #2328C22semidirect
279. #2326C22semidirect
280. #2325C22semidirect
281. #2325C22semidirect
282. #2324C22semidirect
283. #2324C22semidirect
284. #2322C22semidirect
285. #2321C22semidirect
286. #2320C22semidirect
287. #2318C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
291. C4×#120C22semidirect
292. #2290C22semidirect
293. #2290C22semidirect
294. C2×#386C22semidirect
295. C2×#385C22semidirect
296. #2285C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. C2×#382C22semidirect
300. #2275C22semidirect
425. C4×#41D4semidirect
1026. C4×Q8C2×D4semidirect
1027. C4×Q8C2×D4semidirect
1076. C4×D4C2×D4semidirect
1077. C4×D4C2×D4semidirect
1092. #117C2×D4semidirect
1093. #117C2×D4semidirect
1255. C2×C42C2×D4semidirect
1256. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
C2×C4×H(5,𝔽2)2
#360752
#360702
#360672
#359952
#359902
#359872
#357872
#357772
#357762
#357722
#357622
#357612
#357592
#357532
#357502
#356892
#356832
#356802
#352362
#352332
#352052
#351952
#351432
#351302
#349912
#349902
#346362
#346142
#345932
C2×#26362
#342902
#342882
#341912