Finite Group Databasebeta

← #7658798

Subgroups — #7658798

Order 512.

8392 conjugacy classes of subgroups.

The subgroup lattice has 2029 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3485C211yesmaximal, characteristic, complemented
3#42950C212yesmaximal, complemented
4#42943C211yesmaximal, characteristic, complemented
5#42942C211yesmaximal, characteristic, complemented
6#42926C212yesmaximal, complemented
7#42917C211yesmaximal, characteristic, complemented
8#42916C211yesmaximal, characteristic, complemented
9#42787C212yesmaximal, complemented
10#42786C212yesmaximal, complemented
11#42295C212yesmaximal, complemented
12#42294C212yesmaximal, complemented
13#42166C214yesmaximal, complemented
14#41982C214yesmaximal, complemented
15#41937C212yesmaximal, complemented
16#41936C212yesmaximal, complemented
17#40510C214yesmaximal, complemented
18#40508C214yesmaximal, complemented
19#37452C212yesmaximal, complemented
20#37449C211yesmaximal, characteristic, complemented
21#37444C211yesmaximal, characteristic, complemented
22#37443C212yesmaximal, complemented
23#37442C211yesmaximal, characteristic, complemented
24#37441C212yesmaximal, complemented
25#36652C211yesmaximal, characteristic, complemented
26C2×#2814C212yesmaximal, complemented
27#36085C211yesmaximal, characteristic, complemented
28#36078C211yesmaximal, characteristic, complemented
29#36020C212yesmaximal, complemented
30#35998C211yesmaximal, characteristic, complemented
31#35976C211yesmaximal, characteristic, complemented
32#35821C212yesmaximal, complemented
33#35791C212yesmaximal, complemented
34#35750C212yesmaximal, complemented
35#34175C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic, complemented
37C22×H(5,𝔽2)C2211yescharacteristic
38C23×#41C2211yescharacteristic
39#3489—216no—
40#3485—216no—
41C2×D4×Q8C2212yescomplemented
42C2×#548C2212yescomplemented
43C2×#547C2212yes—
44C2×#547C2211yescharacteristic
45C2×#547C2211yescharacteristic
46C2×#547C2211yescharacteristic
47C2×#547C2211yescharacteristic
48C2×#547C2212yes—
49C2×#547C2212yescomplemented
50C2×#547C2214yescomplemented
51C2×#547C2212yescomplemented
52C2×#546C2212yes—
53C2×#546C2211yescharacteristic
54C2×#546C2211yescharacteristic
55C2×#546C2211yescharacteristic
56C2×#546C2211yescharacteristic
57C2×#546C2212yes—
58C2×#546C2212yes—
59C2×#546C2214yescomplemented
60C2×#546C2212yescomplemented
61C2×#537C2211yescharacteristic, complemented
62C2×#537C2212yescomplemented
63C2×#536C2211yescharacteristic
64C2×#536C2211yescharacteristic
65C2×#536C2212yescomplemented
66C2×#536C2211yescharacteristic, complemented
67C2×#534C2212yes—
68C2×#534C2212yes—
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C2×#525C2211yescharacteristic, complemented
72C2×#525C2212yescomplemented
73C22×#123C2212yes—
74C22×#123C2212yes—
75C22×C22⋊Q8C2212yescomplemented
76C22×C22⋊Q8C2211yescharacteristic, complemented
77C2×#520C2211yescharacteristic, complemented
78C2×#520C2212yescomplemented
79C2×#518C2211yescharacteristic
80#2817C2211yescharacteristic, complemented
81#2816C2211yescharacteristic, complemented
82#2816C2211yescharacteristic, complemented
83#2815C2211yescharacteristic, complemented
84#2814C2214yescomplemented
85#2814C2214yescomplemented
86#2814C2211yescharacteristic, complemented
87#2814C2212yescomplemented
88#2814C2212yescomplemented
89#2814C2212yescomplemented
90#2814C2212yescomplemented
91#2814C2212yescomplemented
92#2814C2212yescomplemented
93#2814C2214yescomplemented
94#2814C2214yescomplemented
95#2814C2212yescomplemented
96#2814C2211yescharacteristic, complemented
97#2814C2212yescomplemented
98#2814C2212yescomplemented
99#2814C2212yescomplemented
100#2813C2211yescharacteristic, complemented
101#2813C2211yescharacteristic, complemented
102#2813C2212yescomplemented
103#2813C2212yescomplemented
104#2812C2212yescomplemented
105#2812C2212yescomplemented
106#2734C2214yescomplemented
107#2732C2214yescomplemented
108#2731C2214yescomplemented
109#2730C2214yescomplemented
110#2729C2214yescomplemented
111#2729C2214yescomplemented
112#2729C2214yescomplemented
113#2728C2214yescomplemented
114#2724C2214yescomplemented
115#2717C2214yescomplemented
116#2708C2214yescomplemented
117#2701C2214yescomplemented
118#2701C2214yescomplemented
119#2701C2214yescomplemented
120#2699C2214yescomplemented
121#2697C2214yescomplemented
122#2688C2214yescomplemented
123#2686C2214yescomplemented
124#2686C2214yescomplemented
125#2684C2214yescomplemented
126#2682C2214yescomplemented
127#2678C2214yescomplemented
128#2671C2214yescomplemented
129#2668C2214yescomplemented
130#2663C2214yescomplemented
131#2663C2214yescomplemented
132#2663C2212yescomplemented
133#2663C2212yescomplemented
134#2661C2212yescomplemented
135#2661C2212yescomplemented
136#2659C2212yescomplemented
137#2639C2212yescomplemented
138#2638C2212yescomplemented
139#2638C2212yescomplemented
140#2630C2214yescomplemented
141#2630C2214yescomplemented
142#2630C2214yescomplemented
143#2630C2214yescomplemented
144#2630C2214yescomplemented
145#2627C2212yescomplemented
146#2627C2214yescomplemented
147#2627C2212yescomplemented
148#2626C2212yescomplemented
149#2626C2214yescomplemented
150#2625C2212yescomplemented
151#2625C2211yescharacteristic, complemented
152#2624C2211yescharacteristic, complemented
153#2623C2212yescomplemented
154#2623C2212yescomplemented
155#2622C2214yescomplemented
156#2622C2214yescomplemented
157#2621C2212yescomplemented
158#2620C2212yescomplemented
159#2618C2212yescomplemented
160#2618C2212yescomplemented
161#2618C2214yescomplemented
162#2618C2214yescomplemented
163#2617C2214yescomplemented
164#2617C2212yescomplemented
165#2616C2212yes—
166#2616C2211yescharacteristic, complemented
167#2615C2211yescharacteristic, complemented
168#2614C2212yescomplemented
169#2614C2212yescomplemented
170#2613C2214yes—
171#2602C2214yescomplemented
172#2602C2214yescomplemented
173#2583C2212yescomplemented
174#2583C2212yescomplemented
175#2579C2214yescomplemented
176#2579C2214yescomplemented
177#2564C2212yescomplemented
178#2561C2212yescomplemented
179#2561C2212yescomplemented
180#2546C2212yescomplemented
181#2545C2212yescomplemented
182#2543C2214yescomplemented
183#2543C2212yescomplemented
184#2538C2212yescomplemented
185#2536C2212yescomplemented
186#2534C2214yescomplemented
187#2534C2214yescomplemented
188#2504C2211yescharacteristic, complemented
189#2502C2211yescharacteristic, complemented
190#2499C2212yescomplemented
191#2498C2212yescomplemented
192#2498C2212yescomplemented
193#2486C2214yescomplemented
194#2486C2211yescharacteristic, complemented
195#2486C2211yescharacteristic, complemented
196#2485C2212yescomplemented
197#2484C2212yescomplemented
198#2483C2214yescomplemented
199#2482C2212yescomplemented
200#2448C2212yescomplemented
201#2447C2212yescomplemented
202#2447C2212yescomplemented
203#2446C2212yescomplemented
204#2444C2214yescomplemented
205#2444C2214yescomplemented
206#2443C2214yescomplemented
207#2443C2214yescomplemented
208#2436C2212yescomplemented
209#2436C2211yescharacteristic, complemented
210#2435C2212yescomplemented
211#2434C2212yescomplemented
212#2434C2211yescharacteristic, complemented
213#2432C2212yes—
214#2432C2212yescomplemented
215#2430C2214yescomplemented
216#2430C2214yescomplemented
217#2430C2212yescomplemented
218#2430C2212yescomplemented
219#2430C2214yescomplemented
220#2429C2212yescomplemented
221#2429C2212yescomplemented
222#2429C2212yescomplemented
223#2426C2212yescomplemented
224#2425C2214yescomplemented
225#2425C2214yescomplemented
226#2425C2214yescomplemented
227#2424C2214yescomplemented
228#2423C2212yescomplemented
229#2422C2212yescomplemented
230#2421C2212yescomplemented
231#2420C2212yescomplemented
232#2419C2214yescomplemented
233#2419C2214yescomplemented
234#2419C2214yescomplemented
235#2418C2214yescomplemented
236#2417C2212yescomplemented
237#2417C2212yescomplemented
238#2417C2212yescomplemented
239#2416C2214yescomplemented
240#2416C2212yescomplemented
241#2413C2214yescomplemented
242#2413C2214yescomplemented
243#2413C2214yescomplemented
244#2412C2212yescomplemented
245#2412C2214yescomplemented
246#2412C2212yescomplemented
247#2411C2214yescomplemented
248#2410C2214yes—
249#2410C2214yescomplemented
250#2409C2212yescomplemented
251#2409C2212yescomplemented
252#2409C2211yescharacteristic, complemented
253#2409C2211yescharacteristic, complemented
254#2408C2212yescomplemented
255#2407C2212yes—
256#2407C2212yescomplemented
257#2406C2214yescomplemented
258#2406C2214yescomplemented
259#2406C2212yescomplemented
260#2405C2214yes—
261#2405C2214yescomplemented
262#2404C2214yescomplemented
263#2404C2212yescomplemented
264#2395C2212yescomplemented
265#2395C2211yescharacteristic, complemented
266#2395C2211yescharacteristic, complemented
267#2392C2212yescomplemented
268#2392C2212yescomplemented
269C2×#398C2212yescomplemented
270C2×#398C2214yescomplemented
271C2×#397C2214yescomplemented
272C2×#397C2212yescomplemented
273C2×#396C2214yescomplemented
274#2388C2212yes—
275#2388C2211yescharacteristic, complemented
276#2388C2211yescharacteristic, complemented
277C2×#395C2212yescomplemented
278C2×#394C2214yes—
279C2×#393C2212yescomplemented
280#2349C2212yescomplemented
281D4×C4⋊C4C2212yescomplemented
282#2341C2211yescharacteristic, complemented
283#2341C2211yescharacteristic, complemented
284Q8×C22⋊C4C2212yescomplemented
285#2339C2212yescomplemented
286#2339C2212yescomplemented
287#2339C2211yescharacteristic, complemented
288#2339C2211yescharacteristic, complemented
289#2339C2212yescomplemented
290#2339C2212yescomplemented
291#2339C2212yescomplemented
292D4×C22⋊C4C2212yes—
293D4×C22⋊C4C2214yescomplemented
294D4×C22⋊C4C2212yescomplemented
295#2311C2212yescomplemented
296#2311C2214yescomplemented
297#2280C2211yescharacteristic, complemented
298#2280C2212yescomplemented
299C2×#380C2212yescomplemented
300C2×#380C2211yescharacteristic, complemented
301C2×2−1+4—28no—
302C2×2−1+4—48no—
303C2×H(5,𝔽2)—28no—
304C2×H(5,𝔽2)—48no—
305C22×#41—48no—
306C22×#41D4116yescomplemented
307C22×#41C2311yescharacteristic
308C22×#41C2312yes—
309C22×#41C2311yescharacteristic
310C22×#41C2311yescharacteristic
311C22×#41C2311yescharacteristic
312C22×#41C2312yes—
313C22×#41C2311yescharacteristic
314C22×#41C2311yescharacteristic
315C22×#41C2311yescharacteristic
316C22×#41C2312yes—
317C22×#41C2314yes—
318C22×#41C2312yes—
319C22×#41C2311yescharacteristic
320C22×#41C2312yes—
321C22×#41C2311yescharacteristic
322C23×Q8C2312yes—
323C23×Q8C2311yescharacteristic
324C23×Q8C2312yes—
325C23×Q8C2311yescharacteristic
326C23×D4C2311yescharacteristic
327C23×D4C2311yescharacteristic
328C23×D4C2312yes—
329C23×D4C2312yes—
330C23×D4C2312yes—
331C23×D4C2311yescharacteristic
332C23×D4C2312yes—
333C24×C4C2312yes—
334C24×C4C2311yescharacteristic
335D4×Q8—216no—
336#548—216no—
337#547—28no—
338#547—28no—
339#547—216no—
340#547—28no—
341#547—216no—
342#547—28no—
343#547—216no—
344#547—232no—
345#547—48no—
346#546—28no—
347#546—28no—
348#546—216no—
349#546—28no—
350#546—216no—
351#546—28no—
352#546—216no—
353#546—232no—
354#546—48no—
355#537—28no—
356#537—216no—
357#536—216no—
358#536—28no—
359#536—28no—
360#536—28no—
361#534—216no—
362#534—216no—
363C2×C4⋊Q8C2311yescharacteristic
364C2×C4⋊Q8C2311yescharacteristic
365C2×C4⋊Q8C2312yes—
366C2×C4⋊Q8C2312yes—
367C2×C4⋊Q8C2314yes—
368C2×C4⋊Q8C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375#525—28no—
376#525—28no—
377#525—216no—
378#525—28no—
379C2×#123—216no—
380C2×#123—216no—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2314yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2314yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2311yescharacteristic
398C2×#123C2312yes—
399C2×#123C2311yescharacteristic
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2314yes—
404C2×#123C2314yes—
405C2×#123C2314yes—
406C2×#123C2314yes—
407C2×#123C2314yes—
408C2×#123C2314yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×C22⋊Q8—216no—
412C2×C22⋊Q8—28no—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2314yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2311yescharacteristic
445C2×#121C2312yes—
446C2×#121C2314yes—
447C2×#121C2311yescharacteristic
448C2×#121C2314yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2314yes—
459C2×#121C2312yes—
460C2×#121C2314yes—
461C2×#121C2314yes—
462C2×#121C2314yes—
463C2×#120C2314yes—
464C2×#120C2312yes—
465C2×#120C2312yes—
466C2×#120C2312yes—
467C2×#120C2311yescharacteristic
468C2×#120C2311yescharacteristic
469C2×#120C2312yes—
470C2×#120C2312yes—
471C2×#120C2312yes—
472C2×#120C2314yes—
473C2×#120C2314yes—
474#520—28no—
475#520—48no—
476#518—28no—
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2314yes—
500C2×C4×D4C2314yes—
501C2×C4×D4C2314yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2314yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2314yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2314yes—
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2314yes—
521C22×C4⋊C4C2314yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2312yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2314yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2314yes—
531C22×C22⋊C4C2314yes—
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2314yes—
534#400C2311yescharacteristic
535#400C2311yescharacteristic
536#400C2312yes—
537#400C2312yes—
538#400C2314yes—
539#400C2314yes—
540#400C2314yes—
541#399C2311yescharacteristic
542#399C2311yescharacteristic
543#399C2312yes—
544#399C2312yes—
545#399C2314yes—
546#399C2314yes—
547#398C2311yescharacteristic
548#398C2311yescharacteristic
549#398C2312yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2312yes—
560#398C2312yes—
561#398C2314yes—
562#398C2314yes—
563#398C2312yes—
564#398C2312yes—
565#398C2314yes—
566#398C2314yes—
567#398C2314yes—
568#398C2314yes—
569#398C2314yes—
570#398C2314yes—
571#397C2311yescharacteristic
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2314yes—
578#397C2314yes—
579#397C2314yes—
580#397C2312yes—
581#397C2314yes—
582#397C2314yes—
583#397C2314yes—
584#397C2314yes—
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#397C2312yes—
589#397C2312yes—
590#397C2311yescharacteristic
591#397C2314yes—
592#397C2314yes—
593#397C2314yes—
594#397C2314yes—
595#397C2314yes—
596#397C2314yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#396C2312yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2312yes—
612#396C2314yes—
613#396C2312yes—
614#396C2312yes—
615#396C2314yes—
616#396C2314yes—
617#396C2314yes—
618#396C2314yes—
619#395C2311yescharacteristic
620#395C2311yescharacteristic
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2314yes—
626#395C2314yes—
627#395C2314yes—
628#395C2312yes—
629#395C2312yes—
630#395C2314yes—
631#395C2314yes—
632#394C2311yescharacteristic
633#394C2312yes—
634#394C2311yescharacteristic
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2312yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2312yes—
654#394C2314yes—
655#394C2314yes—
656#394C2314yes—
657#394C2314yes—
658#394C2314yes—
659#394C2314yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2314yes—
664#394C2314yes—
665#394C2314yes—
666#394C2314yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#393C2311yescharacteristic
673#393C2311yescharacteristic
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2314yes—
679#393C2314yes—
680#393C2312yes—
681#393C2312yes—
682#393C2314yes—
683#393C2314yes—
684#392C2312yes—
685#392C2314yes—
686#392C2314yes—
687#392C2314yes—
688#392C2314yes—
689#392C2312yes—
690#392C2311yescharacteristic
691#392C2312yes—
692#392C2312yes—
693#392C2311yescharacteristic
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2314yes—
701#391C2314yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2314yes—
711#390C2314yes—
712#390C2312yes—
713#390C2312yes—
714#390C2314yes—
715#390C2314yes—
716#389C2314yes—
717#389C2314yes—
718#389C2314yes—
719#389C2314yes—
720#389C2314yes—
721#389C2314yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2312yes—
769#386C2312yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2312yes—
795#385C2312yes—
796#384C2312yes—
797#382C2312yes—
798#381C2311yescharacteristic
799#381C2314yes—
800#381C2314yes—
801#381C2311yescharacteristic
802#381C2312yes—
803#381C2312yes—
804#381C2314yes—
805#381C2314yes—
806#381C2314yes—
807#381C2312yes—
808#381C2314yes—
809#381C2312yes—
810#380C2314yes—
811#380C2312yes—
812#380C2314yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2314yes—
817#380C2312yes—
818#380C2311yescharacteristic
819#380C2311yescharacteristic
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2314yes—
826#380C2314yes—
827#380C2314yes—
828#380C2314yes—
829#380C2312yes—
830#380C2311yescharacteristic
831#380C2311yescharacteristic
832#379C2314yes—
833#379C2314yes—
834#379C2314yes—
835#379C2312yes—
836#379C2314yes—
837#379C2314yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2314yes—
854C2×#95C2314yes—
855C2×#95C2314yes—
856C2×#95C2314yes—
857C25C2412yes—
858C25C2412yes—
859C25C2412yes—
860C25C2411yescharacteristic
8612−1+4—464no—
862H(5,𝔽2)—464no—
863C2×#41—216no—
864C2×#41—28no—
865C2×#41—28no—
866C2×#41—24no—
867C2×#41—24no—
868C2×#41—28no—
869C2×#41—28no—
870C2×#41—28no—
871C2×#41—28no—
872C2×#41—28no—
873C2×#41—24no—
874C2×#41—24no—
875C2×#41—28no—
876C2×#41—24no—
877C2×#41—44no—
878C2×#41—44no—
879C2×#41—48no—
880C2×#41—48no—
881C2×#41—48no—
882C2×#41—48no—
883C2×#41—48no—
884C2×#41—48no—
885C2×#41—44no—
886C2×#41—44no—
887C2×#41—44no—
888C2×#41—44no—
889C2×#41—464no—
890C2×#41C2×D418yes—
891C2×#41C2×D418yes—
892C2×#41C2×D4116yes—
893C2×#41C2×D418yes—
894C2×#41C2×D4116yes—
895C2×#41C2×D418yes—
896C22×Q8—28no—
897C22×Q8—28no—
898C22×Q8—24no—
899C22×Q8—48no—
900C22×Q8—44no—
901C22×Q8—44no—
902C22×Q8—44no—
903C22×Q8—44no—
904C22×Q8C2×D418yes—
905C22×Q8C2412yes—
906C22×Q8C2411yescharacteristic
907C22×Q8C2411yescharacteristic
908C22×Q8C2411yescharacteristic
909C22×Q8C2411yescharacteristic
910C22×Q8C2412yes—
911C22×Q8C2414yes—
912C22×Q8C2411yescharacteristic
913C22×Q8C2412yes—
914C22×D4—28no—
915C22×D4—28no—
916C22×D4—28no—
917C22×D4—28no—
918C22×D4—24no—
919C22×D4—24no—
920C22×D4—28no—
921C22×D4—44no—
922C22×D4—48no—
923C22×D4—48no—
924C22×D4—48no—
925C22×D4—48no—
926C22×D4C2×D418yes—
927C22×D4C2×D4116yes—
928C22×D4C2414yes—
929C22×D4C2412yes—
930C22×D4C2412yes—
931C22×D4C2411yescharacteristic
932C22×D4C2412yes—
933C22×D4C2412yes—
934C22×D4C2412yes—
935C22×D4C2411yescharacteristic
936C22×D4C2412yes—
937C22×D4C2412yes—
938C22×D4C2411yescharacteristic
939C22×D4C2411yescharacteristic
940C22×D4C2412yes—
941C22×D4C2411yescharacteristic
942C22×D4C2411yescharacteristic
943C22×D4C2414yes—
944C22×D4C2412yes—
945C22×D4C2412yes—
946C22×D4C2412yes—
947C22×D4C2411yescharacteristic
948C22×D4C2411yescharacteristic
949C22×D4C2411yescharacteristic
950C22×D4C2412yes—
951C22×D4C2412yes—
952C22×D4C2411yescharacteristic
953C22×D4C2412yes—
954C22×D4C2412yes—
955C22×D4C2414yes—
956C22×D4C2412yes—
957C22×D4C2412yes—
958C22×D4C2411yescharacteristic
959C23×C4—44no—
960C23×C4—48no—
961C23×C4C2×D4116yes—
962C23×C4C2×D418yes—
963C23×C4C2414yes—
964C23×C4C2412yes—
965C23×C4C2412yes—
966C23×C4C2411yescharacteristic
967C23×C4C2411yescharacteristic
968C23×C4C2412yes—
969C23×C4C2412yes—
970C23×C4C2411yescharacteristic
971C23×C4C2411yescharacteristic
972C23×C4C2411yescharacteristic
973C23×C4C2412yes—
974C23×C4C2414yes—
975C23×C4C2414yes—
976C23×C4C2414yes—
977C23×C4C2412yes—
978C23×C4C2412yes—
979C23×C4C2412yes—
980C23×C4C2412yes—
981C23×C4C2412yes—
982C23×C4C2412yes—
983C23×C4C2414yes—
984C23×C4C2412yes—
985C23×C4C2414yes—
986C23×C4C2412yes—
987C23×C4C2412yes—
988C23×C4C2411yescharacteristic
989C23×C4C2411yescharacteristic
990C23×C4C2412yes—
991C23×C4C2411yescharacteristic
992C4⋊Q8—24no—
993C4⋊Q8—24no—
994C4⋊Q8—28no—
995C4⋊Q8—28no—
996C4⋊Q8—216no—
997C4⋊Q8—44no—
998#124—24no—
999#124—24no—
1000#124—28no—
1001#124—28no—
1002#124—216no—
1003#124—44no—
1004#123—28no—
1005#123—28no—
1006#123—28no—
1007#123—28no—
1008#123—216no—
1009#123—216no—
1010#123—216no—
1011#123—24no—
1012#123—28no—
1013#123—24no—
1014#123—28no—
1015#123—28no—
1016#123—28no—
1017#123—28no—
1018#123—28no—
1019#123—28no—
1020#123—28no—
1021#123—28no—
1022#123—28no—
1023#123—28no—
1024#123—28no—
1025#123—28no—
1026#123—216no—
1027#123—28no—
1028#123—48no—
1029#123—48no—
1030#123—48no—
1031#123—82no—
1032#123—82no—
1033#123—84no—
1034C22⋊Q8—24no—
1035C22⋊Q8—24no—
1036C22⋊Q8—24no—
1037C22⋊Q8—24no—
1038C22⋊Q8—28no—
1039C22⋊Q8—28no—
1040C22⋊Q8—28no—
1041C22⋊Q8—216no—
1042C22⋊Q8—24no—
1043C22⋊Q8—28no—
1044C22⋊Q8—28no—
1045C22⋊Q8—28no—
1046C22⋊Q8—28no—
1047C22⋊Q8—28no—
1048C22⋊Q8—216no—
1049C22⋊Q8—28no—
1050C22⋊Q8—216no—
1051C22⋊Q8—28no—
1052C22⋊Q8—24no—
1053C22⋊Q8—24no—
1054C22⋊Q8—24no—
1055C22⋊Q8—24no—
1056C22⋊Q8—24no—
1057C22⋊Q8—44no—
1058C22⋊Q8—44no—
1059C22⋊Q8—44no—
1060#121—28no—
1061#121—28no—
1062#121—28no—
1063#121—28no—
1064#121—28no—
1065#121—28no—
1066#121—28no—
1067#121—28no—
1068#121—216no—
1069#121—216no—
1070#121—216no—
1071#121—28no—
1072#121—216no—
1073#121—24no—
1074#121—28no—
1075#121—24no—
1076#121—24no—
1077#121—24no—
1078#121—24no—
1079#121—24no—
1080#121—44no—
1081#121—48no—
1082#121—48no—
1083#121—84no—
1084#120—28no—
1085#120—24no—
1086#120—24no—
1087#120—216no—
1088#120—28no—
1089#120—28no—
1090#120—28no—
1091#120—28no—
1092#120—28no—
1093#120—48no—
1094#120—84no—
1095C4×Q8—28no—
1096C4×Q8—44no—
1097C4×Q8—44no—
1098C4×D4—28no—
1099C4×D4—28no—
1100C4×D4—24no—
1101C4×D4—24no—
1102C4×D4—24no—
1103C4×D4—24no—
1104C4×D4—216no—
1105C4×D4—28no—
1106C4×D4—28no—
1107C4×D4—28no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—28no—
1113C4×D4—28no—
1114C4×D4—28no—
1115C4×D4—216no—
1116C4×D4—28no—
1117C4×D4—216no—
1118C4×D4—44no—
1119C4×D4—44no—
1120C4×D4—48no—
1121C4×D4—48no—
1122#117—24no—
1123#117—24no—
1124#117—28no—
1125#117—24no—
1126#117—44no—
1127#117—48no—
1128C2×C4⋊C4—28no—
1129C2×C4⋊C4—24no—
1130C2×C4⋊C4—216no—
1131C2×C4⋊C4—28no—
1132C2×C4⋊C4—28no—
1133C2×C4⋊C4—28no—
1134C2×C4⋊C4—28no—
1135C2×C4⋊C4—28no—
1136C2×C4⋊C4—44no—
1137C2×C4⋊C4—48no—
1138C2×C4⋊C4—48no—
1139C2×C4⋊C4—84no—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2414yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2414yes—
1193C2×C4⋊C4C2414yes—
1194C2×C22⋊C4—28no—
1195C2×C22⋊C4—28no—
1196C2×C22⋊C4—216no—
1197C2×C22⋊C4—28no—
1198C2×C22⋊C4—28no—
1199C2×C22⋊C4—28no—
1200C2×C22⋊C4—28no—
1201C2×C22⋊C4—28no—
1202C2×C22⋊C4—48no—
1203C2×C22⋊C4—84no—
1204C2×C22⋊C4—82no—
1205C2×C22⋊C4—84no—
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2411yescharacteristic
1238C2×C22⋊C4C2411yescharacteristic
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2411yescharacteristic
1241C2×C22⋊C4C2411yescharacteristic
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2412yes—
1277C2×C22⋊C4C2412yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2412yes—
1280C2×C22⋊C4C2412yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2414yes—
1285C2×C22⋊C4C2414yes—
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288C2×C42C2412yes—
1289C2×C42C2412yes—
1290C2×C42C2414yes—
1291C2×C42C2412yes—
1292C2×C42C2412yes—
1293C2×C42C2414yes—
1294C2×C42C2414yes—
1295#95C2412yes—
1296#95C2411yescharacteristic
1297#95C2411yescharacteristic
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2411yescharacteristic
1319#95C2411yescharacteristic
1320#95C2412yes—
1321#95C2412yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342C24—28no—
1343C24—24no—
1344C24—24no—
1345C24—28no—
1346C24—42no—
1347C24—41no—
1348C24—42no—
1349C24—44no—
1350C24—42no—
1351C24—42no—
1352C24—41no—
1353C24—44no—
1354C24—42no—
1355C24—42no—
1356C24—44no—
1357C24—42no—
1358C24—44no—
1359C24—42no—
1360C24C22×D418yes—
1361C24C22×D414yes—
1362C24C2511yescharacteristic
1363C24C2511yescharacteristic
1364C24C2512yes—
1365C24C2512yes—
1366C24C2511yescharacteristic
1367C24C2512yes—
1368C24C2511yescharacteristic
1369C24C2511yescharacteristic
1370C24C2512yes—
1371#41—232no—
1372#41—232no—
1373#41—432no—
1374#41—432no—
1375#41—416no—
1376#41—416no—
1377#41—416no—
1378#41—416no—
1379#41—432no—
1380#41—416no—
1381#41—432no—
1382#41—416no—
1383#41—464no—
1384#41—416no—
1385#41—432no—
1386C2×Q8—22no—
1387C2×Q8—24no—
1388C2×Q8—28no—
1389C2×Q8—24no—
1390C2×Q8—22no—
1391C2×Q8—22no—
1392C2×Q8—24no—
1393C2×Q8—24no—
1394C2×Q8—24no—
1395C2×Q8—24no—
1396C2×Q8—24no—
1397C2×Q8—42no—
1398C2×Q8—44no—
1399C2×Q8—44no—
1400C2×Q8—44no—
1401C2×Q8—44no—
1402C2×Q8—42no—
1403C2×Q8—416no—
1404C2×Q8—432no—
1405C2×Q8—416no—
1406C2×Q8—432no—
1407C2×Q8C22×D414yes—
1408C2×Q8C22×D414yes—
1409C2×Q8C22×D418yes—
1410C2×D4—28no—
1411C2×D4—28no—
1412C2×D4—28no—
1413C2×D4—232no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—28no—
1417C2×D4—24no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—24no—
1424C2×D4—28no—
1425C2×D4—28no—
1426C2×D4—28no—
1427C2×D4—28no—
1428C2×D4—24no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—22no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—28no—
1436C2×D4—22no—
1437C2×D4—22no—
1438C2×D4—22no—
1439C2×D4—24no—
1440C2×D4—24no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—44no—
1444C2×D4—42no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—42no—
1450C2×D4—42no—
1451C2×D4—42no—
1452C2×D4—42no—
1453C2×D4—42no—
1454C2×D4—42no—
1455C2×D4—42no—
1456C2×D4—42no—
1457C2×D4—44no—
1458C2×D4—42no—
1459C2×D4—42no—
1460C2×D4—41no—
1461C2×D4—41no—
1462C2×D4—42no—
1463C2×D4—42no—
1464C2×D4—41no—
1465C2×D4—42no—
1466C2×D4—44no—
1467C2×D4—42no—
1468C2×D4—42no—
1469C2×D4—44no—
1470C2×D4—42no—
1471C2×D4—41no—
1472C2×D4—42no—
1473C2×D4—44no—
1474C2×D4—44no—
1475C2×D4—44no—
1476C2×D4—432no—
1477C2×D4—432no—
1478C2×D4—416no—
1479C2×D4—432no—
1480C2×D4—432no—
1481C2×D4—416no—
1482C2×D4C22×D418yes—
1483C2×D4C22×D418yes—
1484C2×D4C22×D414yes—
1485C2×D4C22×D418yes—
1486C2×D4C22×D418yes—
1487C2×D4C22×D418yes—
1488C2×D4C22×D414yes—
1489C2×D4H(5,𝔽2)18yes—
1490C22×C4—28no—
1491C22×C4—28no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—28no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—28no—
1500C22×C4—28no—
1501C22×C4—28no—
1502C22×C4—24no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—24no—
1506C22×C4—24no—
1507C22×C4—28no—
1508C22×C4—28no—
1509C22×C4—28no—
1510C22×C4—28no—
1511C22×C4—24no—
1512C22×C4—24no—
1513C22×C4—22no—
1514C22×C4—22no—
1515C22×C4—24no—
1516C22×C4—24no—
1517C22×C4—24no—
1518C22×C4—24no—
1519C22×C4—416no—
1520C22×C4—42no—
1521C22×C4—432no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—42no—
1525C22×C4—44no—
1526C22×C4—42no—
1527C22×C4—44no—
1528C22×C4—44no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—44no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—44no—
1539C22×C4—44no—
1540C22×C4—42no—
1541C22×C4—44no—
1542C22×C4—44no—
1543C22×C4—44no—
1544C22×C4—42no—
1545C22×C4—42no—
1546C22×C4—44no—
1547C22×C4—44no—
1548C22×C4—44no—
1549C22×C4C22×D418yes—
1550C22×C4C22×D418yes—
1551C22×C4C22×D414yes—
1552C22×C4C22×D414yes—
1553C22×C4C22×D414yes—
1554C22×C4C22×D418yes—
1555C22×C4C22×D418yes—
1556C22×C4C22×D414yes—
1557C22×C4C22×D414yes—
1558C22×C4C22×D418yes—
1559C22×C4C22×D414yes—
1560C22×C4C2512yes—
1561C22×C4C2511yescharacteristic
1562C22×C4C2512yes—
1563C22×C4C2511yescharacteristic
1564C22×C4C2512yes—
1565C22×C4C2514yes—
1566C22×C4C2512yes—
1567C22×C4C2512yes—
1568C22×C4C2514yes—
1569C22×C4C2512yes—
1570C22×C4C2512yes—
1571C22×C4C2511yescharacteristic
1572C22×C4C2511yescharacteristic
1573C22×C4C2512yes—
1574C22×C4C2514yes—
1575C22×C4C2512yes—
1576C22×C4C2514yes—
1577C22×C4C2511yescharacteristic
1578C22×C4C2511yescharacteristic
1579C22×C4C2512yes—
1580C22×C4C2512yes—
1581C22×C4C2511yescharacteristic
1582C22×C4C2511yescharacteristic
1583C22×C4C2512yes—
1584C22×C4C2511yescharacteristic
1585C22×C4C2511yescharacteristic
1586C4⋊C4—22no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—28no—
1590C4⋊C4—22no—
1591C4⋊C4—24no—
1592C4⋊C4—22no—
1593C4⋊C4—22no—
1594C4⋊C4—24no—
1595C4⋊C4—22no—
1596C4⋊C4—28no—
1597C4⋊C4—24no—
1598C4⋊C4—28no—
1599C4⋊C4—28no—
1600C4⋊C4—28no—
1601C4⋊C4—24no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—22no—
1610C4⋊C4—22no—
1611C4⋊C4—22no—
1612C4⋊C4—22no—
1613C4⋊C4—22no—
1614C4⋊C4—24no—
1615C4⋊C4—28no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—42no—
1619C4⋊C4—44no—
1620C4⋊C4—42no—
1621C4⋊C4—44no—
1622C4⋊C4—44no—
1623C4⋊C4—44no—
1624C4⋊C4—44no—
1625C4⋊C4—44no—
1626C4⋊C4—42no—
1627C4⋊C4—44no—
1628C4⋊C4—44no—
1629C4⋊C4—44no—
1630C4⋊C4—42no—
1631C4⋊C4—42no—
1632C4⋊C4—42no—
1633C4⋊C4—44no—
1634C4⋊C4—44no—
1635C4⋊C4—42no—
1636C4⋊C4—42no—
1637C4⋊C4—44no—
1638C4⋊C4—44no—
1639C4⋊C4—44no—
1640C22⋊C4—22no—
1641C22⋊C4—24no—
1642C22⋊C4—22no—
1643C22⋊C4—24no—
1644C22⋊C4—28no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—28no—
1650C22⋊C4—28no—
1651C22⋊C4—28no—
1652C22⋊C4—24no—
1653C22⋊C4—28no—
1654C22⋊C4—22no—
1655C22⋊C4—22no—
1656C22⋊C4—24no—
1657C22⋊C4—22no—
1658C22⋊C4—22no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—28no—
1662C22⋊C4—28no—
1663C22⋊C4—28no—
1664C22⋊C4—22no—
1665C22⋊C4—24no—
1666C22⋊C4—22no—
1667C22⋊C4—22no—
1668C22⋊C4—24no—
1669C22⋊C4—22no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—24no—
1673C22⋊C4—24no—
1674C22⋊C4—24no—
1675C22⋊C4—24no—
1676C22⋊C4—24no—
1677C22⋊C4—24no—
1678C22⋊C4—24no—
1679C22⋊C4—24no—
1680C22⋊C4—28no—
1681C22⋊C4—42no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—42no—
1687C22⋊C4—42no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—42no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4—42no—
1695C22⋊C4—42no—
1696C22⋊C4—42no—
1697C22⋊C4—44no—
1698C22⋊C4—42no—
1699C22⋊C4—42no—
1700C22⋊C4—44no—
1701C22⋊C4—44no—
1702C22⋊C4—42no—
1703C22⋊C4—42no—
1704C22⋊C4—42no—
1705C22⋊C4—44no—
1706C22⋊C4—42no—
1707C22⋊C4—42no—
1708C22⋊C4—44no—
1709C22⋊C4—42no—
1710C22⋊C4—42no—
1711C22⋊C4—42no—
1712C22⋊C4—42no—
1713C22⋊C4—42no—
1714C22⋊C4—44no—
1715C22⋊C4—44no—
1716C22⋊C4—44no—
1717C22⋊C4—44no—
1718C22⋊C4—44no—
1719C22⋊C4—42no—
1720C42—24no—
1721C42—22no—
1722C42—22no—
1723C42—28no—
1724C42—24no—
1725C42—24no—
1726C42—24no—
1727C42—44no—
1728C42—44no—
1729C23—22no—
1730C23—24no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—24no—
1736C23—21no—
1737C23—21no—
1738C23—22no—
1739C23—21no—
1740C23—24no—
1741C23—22no—
1742C23—21no—
1743C23—21no—
1744C23—22no—
1745C23—22no—
1746C23—21no—
1747C23—22no—
1748C23—216no—
1749C23—21no—
1750C23—22no—
1751C23—21no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—22no—
1756C23—24no—
1757C23—22no—
1758C23—21no—
1759C23—21no—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—21no—
1766C23—22no—
1767C23—22no—
1768C23—24no—
1769C23—22no—
1770C23—21no—
1771C23—44no—
1772C23—48no—
1773C23—48no—
1774C23—44no—
1775C23—44no—
1776C23—48no—
1777C23—48no—
1778C23—88no—
1779C23—88no—
1780C23—88no—
1781C23—88no—
1782C23—84no—
1783C23—84no—
1784C23—84no—
1785C23—84no—
1786C23—84no—
1787C23—84no—
1788C23—164no—
1789C23—164no—
1790C23C23×D412yes—
1791C23C23×D412yes—
1792C23C23×D414yes—
1793C23C23×D412yes—
1794C23C23×D414yes—
1795C23C2×H(5,𝔽2)18yes—
1796C23C2611yescharacteristic
1797Q8—28no—
1798Q8—28no—
1799Q8—48no—
1800Q8—44no—
1801Q8—48no—
1802Q8—416no—
1803Q8—44no—
1804Q8—48no—
1805Q8—44no—
1806D4—216no—
1807D4—216no—
1808D4—216no—
1809D4—28no—
1810D4—48no—
1811D4—48no—
1812D4—44no—
1813D4—44no—
1814D4—48no—
1815D4—44no—
1816D4—44no—
1817D4—48no—
1818D4—48no—
1819D4—48no—
1820D4—48no—
1821D4—48no—
1822D4—48no—
1823D4—416no—
1824D4—44no—
1825D4—82no—
1826D4—82no—
1827D4—88no—
1828D4—84no—
1829D4—84no—
1830D4—84no—
1831D4—82no—
1832D4—82no—
1833D4—84no—
1834D4—84no—
1835D4—164no—
1836D4#534116yes—
1837C2×C4—24no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—216no—
1843C2×C4—216no—
1844C2×C4—28no—
1845C2×C4—28no—
1846C2×C4—28no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—24no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—24no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—24no—
1866C2×C4—24no—
1867C2×C4—22no—
1868C2×C4—24no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—24no—
1873C2×C4—24no—
1874C2×C4—24no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—24no—
1878C2×C4—22no—
1879C2×C4—24no—
1880C2×C4—22no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—24no—
1891C2×C4—22no—
1892C2×C4—24no—
1893C2×C4—21no—
1894C2×C4—24no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—24no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—44no—
1902C2×C4—48no—
1903C2×C4—44no—
1904C2×C4—48no—
1905C2×C4—44no—
1906C2×C4—48no—
1907C2×C4—48no—
1908C2×C4—416no—
1909C2×C4—48no—
1910C2×C4—48no—
1911C2×C4—48no—
1912C2×C4—416no—
1913C2×C4—44no—
1914C2×C4—44no—
1915C2×C4—48no—
1916C2×C4—88no—
1917C2×C4—88no—
1918C2×C4—84no—
1919C2×C4—88no—
1920C2×C4—84no—
1921C2×C4—84no—
1922C2×C4—84no—
1923C2×C4—84no—
1924C2×C4—164no—
1925C2×C4C23×D414yes—
1926C2×C4C23×D412yes—
1927C2×C4C23×D412yes—
1928C2×C4C23×D414yes—
1929C2×C4C23×D412yes—
1930C2×C4C23×D412yes—
1931C2×C4C2×H(5,𝔽2)14yes—
1932C22—28no—
1933C22—28no—
1934C22—24no—
1935C22—24no—
1936C22—22no—
1937C22—24no—
1938C22—22no—
1939C22—22no—
1940C22—24no—
1941C22—22no—
1942C22—22no—
1943C22—22no—
1944C22—22no—
1945C22—22no—
1946C22—22no—
1947C22—24no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—44no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—44no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—44no—
1960C22—42no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—44no—
1965C22—42no—
1966C22—42no—
1967C22—41no—
1968C22—41no—
1969C22—42no—
1970C22—42no—
1971C22—41no—
1972C22—42no—
1973C22—41no—
1974C22—42no—
1975C22—42no—
1976C22—41no—
1977C22—41no—
1978C22—816no—
1979C22—88no—
1980C22—168no—
1981C22—168no—
1982C22C2×#53418yes—
1983C22C24×D411yescharacteristic
1984C22C22×H(5,𝔽2)12yes—
1985C22H(7,𝔽2)11yescharacteristic
1986C222−1+612yes—
1987C222−1+611yescharacteristic
1988C4—22no—
1989C4—22no—
1990C4—22no—
1991C4—24no—
1992C4—24no—
1993C4—42no—
1994C4—42no—
1995C4—44no—
1996C4—44no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—41no—
2001C4—41no—
2002C4—42no—
2003C4—44no—
2004C4—41no—
2005C4—42no—
2006C4—41no—
2007C4—42no—
2008C4—41no—
2009C4—41no—
2010C4—42no—
2011C4—42no—
2012C4—44no—
2013C4C2×#53414yes—
2014C2—28no—
2015C2—42no—
2016C2—42no—
2017C2—42no—
2018C2—44no—
2019C2—82no—
2020C2—81no—
2021C2—82no—
2022C2—81no—
2023C2C22×#53411yescharacteristic
2024C2#6285311yescharacteristic
2025C2#6285911yescharacteristic
2026C2#6304912yes—
2027C2#6306312yes—
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×#3489C2semidirect
2. C2×#3485C2semidirect
3. #42950C2semidirect
4. #42943C2semidirect
5. #42942C2semidirect
6. #42926C2semidirect
7. #42917C2semidirect
8. #42916C2semidirect
9. #42787C2semidirect
10. #42786C2semidirect
11. #42295C2semidirect
12. #42294C2semidirect
13. #42166C2semidirect
14. #41982C2semidirect
15. #41937C2semidirect
16. #41936C2semidirect
17. #40510C2semidirect
18. #40508C2semidirect
19. #37452C2semidirect
20. #37449C2semidirect
21. #37444C2semidirect
22. #37443C2semidirect
23. #37442C2semidirect
24. #37441C2semidirect
25. #36652C2semidirect
26. C2×#2814C2semidirect
27. #36085C2semidirect
28. #36078C2semidirect
29. #36020C2semidirect
30. #35998C2semidirect
31. #35976C2semidirect
32. #35821C2semidirect
33. #35791C2semidirect
34. #35750C2semidirect
35. #34175C2semidirect
36. C22×2−1+4C22semidirect
41. C2×D4×Q8C22semidirect
42. C2×#548C22semidirect
49. C2×#547C22semidirect
50. C2×#547C22semidirect
51. C2×#547C22semidirect
59. C2×#546C22semidirect
60. C2×#546C22semidirect
61. C2×#537C22semidirect
62. C2×#537C22semidirect
65. C2×#536C22semidirect
66. C2×#536C22semidirect
71. C2×#525C22semidirect
72. C2×#525C22semidirect
75. C22×C22⋊Q8C22semidirect
76. C22×C22⋊Q8C22semidirect
77. C2×#520C22semidirect
78. C2×#520C22semidirect
80. #2817C22semidirect
81. #2816C22semidirect
82. #2816C22semidirect
83. #2815C22semidirect
84. #2814C22semidirect
85. #2814C22semidirect
86. #2814C22semidirect
87. #2814C22semidirect
88. #2814C22semidirect
89. #2814C22semidirect
90. #2814C22semidirect
91. #2814C22semidirect
92. #2814C22semidirect
93. #2814C22semidirect
94. #2814C22semidirect
95. #2814C22semidirect
96. #2814C22semidirect
97. #2814C22semidirect
98. #2814C22semidirect
99. #2814C22semidirect
100. #2813C22semidirect
101. #2813C22semidirect
102. #2813C22semidirect
103. #2813C22semidirect
104. #2812C22semidirect
105. #2812C22semidirect
106. #2734C22semidirect
107. #2732C22semidirect
108. #2731C22semidirect
109. #2730C22semidirect
110. #2729C22semidirect
111. #2729C22semidirect
112. #2729C22semidirect
113. #2728C22semidirect
114. #2724C22semidirect
115. #2717C22semidirect
116. #2708C22semidirect
117. #2701C22semidirect
118. #2701C22semidirect
119. #2701C22semidirect
120. #2699C22semidirect
121. #2697C22semidirect
122. #2688C22semidirect
123. #2686C22semidirect
124. #2686C22semidirect
125. #2684C22semidirect
126. #2682C22semidirect
127. #2678C22semidirect
128. #2671C22semidirect
129. #2668C22semidirect
130. #2663C22semidirect
131. #2663C22semidirect
132. #2663C22semidirect
133. #2663C22semidirect
134. #2661C22semidirect
135. #2661C22semidirect
136. #2659C22semidirect
137. #2639C22semidirect
138. #2638C22semidirect
139. #2638C22semidirect
140. #2630C22semidirect
141. #2630C22semidirect
142. #2630C22semidirect
143. #2630C22semidirect
144. #2630C22semidirect
145. #2627C22semidirect
146. #2627C22semidirect
147. #2627C22semidirect
148. #2626C22semidirect
149. #2626C22semidirect
150. #2625C22semidirect
151. #2625C22semidirect
152. #2624C22semidirect
153. #2623C22semidirect
154. #2623C22semidirect
155. #2622C22semidirect
156. #2622C22semidirect
157. #2621C22semidirect
158. #2620C22semidirect
159. #2618C22semidirect
160. #2618C22semidirect
161. #2618C22semidirect
162. #2618C22semidirect
163. #2617C22semidirect
164. #2617C22semidirect
166. #2616C22semidirect
167. #2615C22semidirect
168. #2614C22semidirect
169. #2614C22semidirect
171. #2602C22semidirect
172. #2602C22semidirect
173. #2583C22semidirect
174. #2583C22semidirect
175. #2579C22semidirect
176. #2579C22semidirect
177. #2564C22semidirect
178. #2561C22semidirect
179. #2561C22semidirect
180. #2546C22semidirect
181. #2545C22semidirect
182. #2543C22semidirect
183. #2543C22semidirect
184. #2538C22semidirect
185. #2536C22semidirect
186. #2534C22semidirect
187. #2534C22semidirect
188. #2504C22semidirect
189. #2502C22semidirect
190. #2499C22semidirect
191. #2498C22semidirect
192. #2498C22semidirect
193. #2486C22semidirect
194. #2486C22semidirect
195. #2486C22semidirect
196. #2485C22semidirect
197. #2484C22semidirect
198. #2483C22semidirect
199. #2482C22semidirect
200. #2448C22semidirect
201. #2447C22semidirect
202. #2447C22semidirect
203. #2446C22semidirect
204. #2444C22semidirect
205. #2444C22semidirect
206. #2443C22semidirect
207. #2443C22semidirect
208. #2436C22semidirect
209. #2436C22semidirect
210. #2435C22semidirect
211. #2434C22semidirect
212. #2434C22semidirect
214. #2432C22semidirect
215. #2430C22semidirect
216. #2430C22semidirect
217. #2430C22semidirect
218. #2430C22semidirect
219. #2430C22semidirect
220. #2429C22semidirect
221. #2429C22semidirect
222. #2429C22semidirect
223. #2426C22semidirect
224. #2425C22semidirect
225. #2425C22semidirect
226. #2425C22semidirect
227. #2424C22semidirect
228. #2423C22semidirect
229. #2422C22semidirect
230. #2421C22semidirect
231. #2420C22semidirect
232. #2419C22semidirect
233. #2419C22semidirect
234. #2419C22semidirect
235. #2418C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
238. #2417C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2413C22semidirect
242. #2413C22semidirect
243. #2413C22semidirect
244. #2412C22semidirect
245. #2412C22semidirect
246. #2412C22semidirect
247. #2411C22semidirect
249. #2410C22semidirect
250. #2409C22semidirect
251. #2409C22semidirect
252. #2409C22semidirect
253. #2409C22semidirect
254. #2408C22semidirect
256. #2407C22semidirect
257. #2406C22semidirect
258. #2406C22semidirect
259. #2406C22semidirect
261. #2405C22semidirect
262. #2404C22semidirect
263. #2404C22semidirect
264. #2395C22semidirect
265. #2395C22semidirect
266. #2395C22semidirect
267. #2392C22semidirect
268. #2392C22semidirect
269. C2×#398C22semidirect
270. C2×#398C22semidirect
271. C2×#397C22semidirect
272. C2×#397C22semidirect
273. C2×#396C22semidirect
275. #2388C22semidirect
276. #2388C22semidirect
277. C2×#395C22semidirect
279. C2×#393C22semidirect
280. #2349C22semidirect
281. D4×C4⋊C4C22semidirect
282. #2341C22semidirect
283. #2341C22semidirect
284. Q8×C22⋊C4C22semidirect
285. #2339C22semidirect
286. #2339C22semidirect
287. #2339C22semidirect
288. #2339C22semidirect
289. #2339C22semidirect
290. #2339C22semidirect
291. #2339C22semidirect
293. D4×C22⋊C4C22semidirect
294. D4×C22⋊C4C22semidirect
295. #2311C22semidirect
296. #2311C22semidirect
297. #2280C22semidirect
298. #2280C22semidirect
299. C2×#380C22semidirect
300. C2×#380C22semidirect
306. C22×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#34852
#429502
#429432
#429422
#429262
#429172
#429162
#427872
#427862
#422952
#422942
#421662
#419822
#419372
#419362
#405102
#405082
#374522
#374492
#374442
#374432
#374422
#374412
#366522
C2×#28142
#360852
#360782
#360202
#359982
#359762
#358212
#357912
#357502
#341752