Finite Group Databasebeta

← #7644170

Subgroups — #7644170

Order 512.

7190 conjugacy classes of subgroups.

The subgroup lattice has 1967 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3513C211yesmaximal, characteristic, complemented
3#42682C211yesmaximal, characteristic, complemented
4#42681C211yesmaximal, characteristic, complemented
5#42678C211yesmaximal, characteristic, complemented
6#42677C211yesmaximal, characteristic, complemented
7#42674C212yesmaximal, complemented
8#42484C211yesmaximal, characteristic, complemented
9#42483C211yesmaximal, characteristic, complemented
10#42480C211yesmaximal, characteristic, complemented
11#42479C211yesmaximal, characteristic, complemented
12#42476C212yesmaximal, complemented
13#42475C212yesmaximal, complemented
14#42474C212yesmaximal, complemented
15#41990C212yesmaximal, complemented
16#41989C212yesmaximal, complemented
17#41986C212yesmaximal, complemented
18#41985C212yesmaximal, complemented
19#40597C214yesmaximal, complemented
20#40596C214yesmaximal, complemented
21#37445C212yesmaximal, complemented
22#37443C212yesmaximal, complemented
23#37440C212yesmaximal, complemented
24#37437C212yesmaximal, complemented
25#37133C214yesmaximal, complemented
26#37132C214yesmaximal, complemented
27#35611C212yesmaximal, complemented
28#35601C212yesmaximal, complemented
29#35538C212yesmaximal, complemented
30#35538C212yesmaximal, complemented
31#35212C211yesmaximal, characteristic, complemented
32#35191C211yesmaximal, characteristic, complemented
33#34643C211yesmaximal, characteristic, complemented
34#34624C211yesmaximal, characteristic, complemented
35#34058C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3513—216no—
38C2×#559C2211yescharacteristic
39C2×#555C2211yescharacteristic
40C2×#554C2211yescharacteristic, complemented
41C2×#554C2211yescharacteristic, complemented
42C2×#553C2211yescharacteristic
43C2×#553C2212yescomplemented
44C2×#553C2212yescomplemented
45C2×#553C2212yescomplemented
46C2×#552C2211yescharacteristic, complemented
47C2×#551C2212yescomplemented
48C2×#551C2212yescomplemented
49C2×#550C2211yescharacteristic
50C2×#547C2211yescharacteristic, complemented
51C2×#546C2211yescharacteristic
52C2×#546C2212yescomplemented
53C2×#546C2212yescomplemented
54C2×#546C2211yescharacteristic, complemented
55C2×#546C2214yescomplemented
56C2×D42C2211yescharacteristic
57C2×D42C2212yes—
58C2×D42C2211yescharacteristic, complemented
59C2×#542C2211yescharacteristic
60C2×#540C2212yes—
61C2×#540C2211yescharacteristic
62C2×#539C2212yescomplemented
63C2×#538C2212yescomplemented
64C2×#538C2214yescomplemented
65C2×#532C2211yescharacteristic, complemented
66C2×#529C2211yescharacteristic, complemented
67C2×#529C2211yescharacteristic, complemented
68C2×#529C2211yescharacteristic, complemented
69C2×#525C2212yescomplemented
70C2×#525C2212yescomplemented
71C22×#123C2212yescomplemented
72C22×#121C2212yescomplemented
73C2×#520C2211yescharacteristic, complemented
74C2×#518C2212yescomplemented
75C2×#518C2211yescharacteristic, complemented
76C22×C4×D4C2211yescharacteristic
77#2861C2212yescomplemented
78#2860C2214yescomplemented
79#2858C2212yescomplemented
80#2816C2212yescomplemented
81#2816C2212yescomplemented
82#2815C2212yescomplemented
83#2815C2212yescomplemented
84#2814C2212yescomplemented
85#2814C2212yescomplemented
86#2813C2212yescomplemented
87#2813C2212yescomplemented
88#2813C2214yescomplemented
89#2813C2214yescomplemented
90#2812C2214yescomplemented
91#2812C2214yescomplemented
92#2727C2214yescomplemented
93#2725C2214yescomplemented
94#2710C2214yescomplemented
95#2707C2214yescomplemented
96#2705C2214yescomplemented
97#2705C2214yescomplemented
98#2703C2214yescomplemented
99#2702C2214yescomplemented
100#2701C2214yescomplemented
101#2700C2214yescomplemented
102#2699C2214yescomplemented
103#2697C2214yescomplemented
104#2689C2214yescomplemented
105#2687C2214yescomplemented
106#2685C2214yescomplemented
107#2682C2214yescomplemented
108#2682C2214yescomplemented
109#2681C2214yescomplemented
110#2681C2214yescomplemented
111#2679C2214yescomplemented
112#2678C2214yescomplemented
113#2678C2214yescomplemented
114#2678C2214yescomplemented
115#2678C2214yescomplemented
116#2674C2214yescomplemented
117#2674C2214yescomplemented
118#2672C2214yescomplemented
119#2672C2214yescomplemented
120#2670C2214yescomplemented
121#2670C2214yescomplemented
122#2669C2214yescomplemented
123#2669C2214yescomplemented
124#2664C2211yescharacteristic, complemented
125#2664C2211yescharacteristic, complemented
126#2664C2212yescomplemented
127#2663C2211yescharacteristic, complemented
128#2663C2212yescomplemented
129#2663C2211yescharacteristic, complemented
130#2663C2212yescomplemented
131#2662C2211yescharacteristic, complemented
132#2662C2211yescharacteristic, complemented
133#2662C2212yescomplemented
134#2662C2214yescomplemented
135#2661C2211yescharacteristic
136#2661C2211yescharacteristic, complemented
137#2661C2212yescomplemented
138#2661C2212yescomplemented
139#2661C2212yescomplemented
140#2661C2212yescomplemented
141#2661C2212yescomplemented
142#2661C2212yescomplemented
143#2660C2211yescharacteristic, complemented
144#2657C2211yescharacteristic, complemented
145#2641C2211yescharacteristic, complemented
146#2640C2211yescharacteristic, complemented
147#2638C2212yescomplemented
148#2638C2212yescomplemented
149#2635C2212yescomplemented
150#2635C2212yescomplemented
151#2630C2214yescomplemented
152#2630C2214yescomplemented
153#2625C2212yescomplemented
154#2624C2212yescomplemented
155#2624C2214yescomplemented
156#2623C2212yescomplemented
157#2623C2212yescomplemented
158#2622C2214yescomplemented
159#2620C2212yescomplemented
160#2619C2212yescomplemented
161#2618C2212yescomplemented
162#2618C2212yescomplemented
163#2617C2212yescomplemented
164#2617C2212yescomplemented
165#2616C2212yescomplemented
166#2615C2212yescomplemented
167#2615C2214yescomplemented
168#2613C2212yescomplemented
169#2613C2212yescomplemented
170#2613C2214yescomplemented
171#2613C2214yescomplemented
172#2613C2214yescomplemented
173#2611C2212yescomplemented
174#2610C2212yescomplemented
175#2603C2212yescomplemented
176#2603C2212yescomplemented
177#2602C2214yescomplemented
178#2602C2214yescomplemented
179#2602C2214yescomplemented
180#2602C2214yescomplemented
181#2602C2214yescomplemented
182#2592C2211yescharacteristic, complemented
183#2591C2214yescomplemented
184#2584C2211yescharacteristic, complemented
185#2562C2211yescharacteristic, complemented
186#2561C2214yescomplemented
187#2548C2211yescharacteristic, complemented
188#2547C2211yescharacteristic, complemented
189#2546C2211yescharacteristic, complemented
190#2541C2211yescharacteristic, complemented
191#2540C2211yescharacteristic, complemented
192#2539C2214yescomplemented
193#2539C2214yescomplemented
194#2486C2212yescomplemented
195#2486C2212yescomplemented
196#2485C2214yescomplemented
197#2484C2212yescomplemented
198#2482C2212yescomplemented
199#2480C2214yescomplemented
200#2476C2214yescomplemented
201#2472C2214yescomplemented
202#2470C2214yescomplemented
203#2466C2214yescomplemented
204#2464C2214yescomplemented
205#2459C2214yescomplemented
206#2457C2214yescomplemented
207#2456C2214yescomplemented
208#2456C2214yescomplemented
209#2455C2214yescomplemented
210#2455C2214yescomplemented
211#2454C2212yescomplemented
212#2454C2212yescomplemented
213#2453C2212yescomplemented
214#2452C2212yescomplemented
215#2447C2212yescomplemented
216#2445C2212yes—
217#2445C2212yescomplemented
218#2445C2212yescomplemented
219#2442C2212yescomplemented
220#2441C2212yescomplemented
221#2441C2212yescomplemented
222#2439C2212yescomplemented
223#2435C2212yescomplemented
224#2433C2212yes—
225#2433C2212yescomplemented
226#2432C2212yescomplemented
227#2431C2212yescomplemented
228#2431C2212yescomplemented
229#2428C2212yescomplemented
230#2428C2212yescomplemented
231#2427C2212yescomplemented
232#2426C2212yescomplemented
233#2424C2214yescomplemented
234#2424C2214yescomplemented
235#2422C2212yescomplemented
236#2422C2212yescomplemented
237#2420C2212yes—
238#2420C2212yescomplemented
239#2418C2214yescomplemented
240#2418C2214yescomplemented
241#2416C2212yescomplemented
242#2415C2214yescomplemented
243#2415C2212yescomplemented
244#2415C2212yescomplemented
245#2414C2214yescomplemented
246#2414C2214yescomplemented
247#2414C2214yescomplemented
248#2414C2212yescomplemented
249#2414C2212yescomplemented
250#2414C2212yescomplemented
251#2414C2212yescomplemented
252#2414C2212yescomplemented
253#2413C2214yescomplemented
254#2411C2214yescomplemented
255#2411C2214yescomplemented
256#2411C2214yescomplemented
257#2408C2212yes—
258#2408C2212yescomplemented
259#2408C2212yescomplemented
260#2408C2212yescomplemented
261#2408C2212yescomplemented
262#2407C2212yescomplemented
263#2407C2214yescomplemented
264#2406C2212yescomplemented
265#2405C2214yescomplemented
266#2404C2212yescomplemented
267#2403C2214yescomplemented
268#2399C2211yescharacteristic, complemented
269#2398C2211yescharacteristic, complemented
270#2398C2211yescharacteristic, complemented
271#2397C2211yescharacteristic, complemented
272#2392C2212yescomplemented
273#2392C2212yescomplemented
274#2392C2212yescomplemented
275#2392C2212yescomplemented
276#2388C2214yescomplemented
277#2324C2212yescomplemented
278#2324C2212yescomplemented
279#2324C2212yescomplemented
280#2323C2212yescomplemented
281#2319C2212yescomplemented
282#2319C2212yescomplemented
283#2319C2211yescharacteristic, complemented
284#2319C2211yescharacteristic, complemented
285#2319C2211yescharacteristic, complemented
286#2319C2211yescharacteristic, complemented
287#2316C2212yescomplemented
288#2312C2214yescomplemented
289#2309C2212yes—
290C4×#127C2212yescomplemented
291C4×#124C2212yescomplemented
292#2293C2214yescomplemented
293#2293C2212yescomplemented
294#2293C2212yescomplemented
295#2293C2212yescomplemented
296#2293C2212yescomplemented
297#2280C2212yescomplemented
298#2280C2212yescomplemented
299C4×#117C2211yescharacteristic, complemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×D4C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2314yes—
309C23×D4C2312yes—
310C23×D4C2311yescharacteristic
311C24×C4C2312yes—
312#559—28no—
313#555—28no—
314#554—28no—
315#554—28no—
316#553—28no—
317#553—216no—
318#553—216no—
319#553—216no—
320#552—28no—
321#551—216no—
322#551—216no—
323#550—28no—
324#547—28no—
325#546—28no—
326#546—28no—
327#546—216no—
328#546—216no—
329#546—232no—
330D42—28no—
331D42—216no—
332D42—28no—
333#542—28no—
334#540—28no—
335#540—216no—
336#539—216no—
337#538—216no—
338#538—232no—
339#532—28no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×#127C2311yescharacteristic
344C2×#127C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347C2×#127C2312yes—
348#529—28no—
349#529—28no—
350#529—28no—
351C2×#126C2311yescharacteristic
352C2×#126C2311yescharacteristic
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#125C2311yescharacteristic
362C2×#125C2312yes—
363C2×#125C2311yescharacteristic
364C2×#125C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2311yescharacteristic
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376#525—216no—
377#525—216no—
378C2×#123—216no—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2311yescharacteristic
388C2×#123C2312yes—
389C2×#123C2311yescharacteristic
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2312yes—
393C2×#123C2314yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×#121—216no—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2314yes—
438C2×#121C2312yes—
439C2×#121C2314yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#120C2312yes—
447C2×#120C2312yes—
448C2×#120C2314yes—
449C2×#120C2312yes—
450C2×#120C2314yes—
451C2×#120C2312yes—
452C2×#120C2314yes—
453C2×#120C2314yes—
454C2×#120C2314yes—
455C2×#120C2314yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458C2×#120C2314yes—
459C2×#120C2314yes—
460#520—28no—
461#518—28no—
462#518—216no—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×D4D4116yescomplemented
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2314yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2314yes—
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2314yes—
513C2×#117C2314yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2311yescharacteristic
519C22×C22⋊C4C2314yes—
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2314yes—
525C22×C22⋊C4C2312yes—
526C22×C42C2311yescharacteristic
527#400C2312yes—
528#400C2314yes—
529#400C2314yes—
530#400C2311yescharacteristic
531#400C2312yes—
532#400C2311yescharacteristic
533#399C2314yes—
534#399C2314yes—
535#399C2312yes—
536#399C2314yes—
537#399C2314yes—
538#399C2311yescharacteristic
539#399C2312yes—
540#399C2311yescharacteristic
541#398C2311yescharacteristic
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2311yescharacteristic
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#397C2314yes—
554#397C2314yes—
555#397C2312yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2312yes—
562#397C2312yes—
563#397C2311yescharacteristic
564#397C2312yes—
565#397C2312yes—
566#397C2314yes—
567#397C2314yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2311yescharacteristic
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#395C2312yes—
587#395C2311yescharacteristic
588#395C2314yes—
589#395C2311yescharacteristic
590#395C2312yes—
591#394C2311yescharacteristic
592#394C2312yes—
593#394C2312yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2312yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2312yes—
612#394C2311yescharacteristic
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#393C2314yes—
639#393C2314yes—
640#393C2312yes—
641#393C2311yescharacteristic
642#393C2314yes—
643#393C2311yescharacteristic
644#393C2312yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2314yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#392C2314yes—
655#392C2311yescharacteristic
656#392C2312yes—
657#392C2314yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2314yes—
666#392C2314yes—
667#392C2314yes—
668#392C2314yes—
669#392C2314yes—
670#392C2314yes—
671#392C2312yes—
672#392C2312yes—
673#392C2311yescharacteristic
674#392C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2314yes—
680#390C2314yes—
681#390C2314yes—
682#390C2312yes—
683#390C2312yes—
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2314yes—
689#390C2314yes—
690#390C2312yes—
691#390C2314yes—
692#390C2314yes—
693#390C2314yes—
694#390C2312yes—
695#390C2312yes—
696#390C2314yes—
697#390C2314yes—
698#390C2314yes—
699#390C2314yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2314yes—
704#390C2314yes—
705#390C2314yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2314yes—
713#389C2312yes—
714#389C2314yes—
715#389C2312yes—
716#389C2312yes—
717#389C2314yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2314yes—
722#389C2312yes—
723#389C2312yes—
724#389C2314yes—
725#389C2314yes—
726#389C2314yes—
727#389C2314yes—
728#389C2314yes—
729#389C2312yes—
730#389C2312yes—
731#388C2312yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2312yes—
748#388C2314yes—
749#388C2314yes—
750#388C2312yes—
751#388C2312yes—
752#388C2314yes—
753#388C2314yes—
754#388C2314yes—
755#388C2314yes—
756#388C2314yes—
757#388C2314yes—
758#388C2314yes—
759#388C2314yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#387C2314yes—
765#387C2314yes—
766#387C2314yes—
767#387C2314yes—
768#387C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#386C2314yes—
781#386C2314yes—
782#386C2314yes—
783#386C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#384C2312yes—
796#382C2312yes—
797#381C2312yes—
798#381C2312yes—
799#381C2314yes—
800#381C2314yes—
801#381C2312yes—
802#381C2312yes—
803#381C2314yes—
804#380C2312yes—
805#380C2312yes—
806#380C2314yes—
807#380C2314yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2314yes—
818#379C2314yes—
819#379C2314yes—
820#379C2314yes—
821#379C2314yes—
822#379C2314yes—
823#379C2314yes—
824#379C2314yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846#376C2312yes—
847#376C2311yescharacteristic
848#376C2311yescharacteristic
849C43C2312yes—
850C43C2312yes—
851C25C2412yes—
852C25C2414yes—
853C25C2412yes—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—44no—
859C2×#41—84no—
860C2×#41—84no—
861C2×#41—82no—
862C2×#41—82no—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×D4—216no—
869C22×D4—28no—
870C22×D4—28no—
871C22×D4—24no—
872C22×D4—28no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4—44no—
876C22×D4—44no—
877C22×D4—84no—
878C22×D4—84no—
879C22×D4—84no—
880C22×D4—84no—
881C22×D4C2×D418yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2412yes—
915C23×C4—84no—
916C23×C4C2×D4116yes—
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2411yescharacteristic
937C4⋊Q8—24no—
938C4⋊Q8—24no—
939C4⋊Q8—82no—
940#127—28no—
941#127—24no—
942#127—24no—
943#127—44no—
944#127—82no—
945#126—28no—
946#126—216no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—24no—
952#126—24no—
953#125—28no—
954#125—24no—
955#125—28no—
956#125—24no—
957#125—24no—
958#125—24no—
959#124—24no—
960#124—216no—
961#124—28no—
962#124—28no—
963#124—24no—
964#124—24no—
965#124—24no—
966#124—28no—
967#124—44no—
968#124—82no—
969#124—82no—
970#123—28no—
971#123—24no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—24no—
980#123—216no—
981#123—28no—
982#123—216no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—216no—
987#123—28no—
988#123—84no—
989#123—84no—
990#123—84no—
991#123—84no—
992#123—84no—
993C22⋊Q8—24no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—28no—
1000C22⋊Q8—24no—
1001C22⋊Q8—216no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—44no—
1005C22⋊Q8—84no—
1006#121—216no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—24no—
1011#121—24no—
1012#121—24no—
1013#121—28no—
1014#121—216no—
1015#121—216no—
1016#121—28no—
1017#121—28no—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—24no—
1022#121—24no—
1023#121—28no—
1024#121—28no—
1025#121—24no—
1026#121—216no—
1027#121—28no—
1028#121—216no—
1029#121—28no—
1030#121—44no—
1031#121—44no—
1032#121—44no—
1033#121—84no—
1034#121—84no—
1035#121—84no—
1036#120—216no—
1037#120—28no—
1038#120—28no—
1039#120—216no—
1040#120—28no—
1041#120—216no—
1042#120—28no—
1043#120—84no—
1044#120—84no—
1045#120—84no—
1046#120—84no—
1047#120—84no—
1048#120—84no—
1049#120—84no—
1050C4×Q8—24no—
1051C4×Q8—24no—
1052C4×Q8—24no—
1053C4×Q8—24no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—216no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—216no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—24no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—28no—
1077C4×D4—44no—
1078C4×D4—44no—
1079C4×D4—84no—
1080C4×D4—84no—
1081C4×D4C2×D418yes—
1082C4×D4C2×D418yes—
1083C4×D4C2×D4116yes—
1084C4×D4C2×D418yes—
1085C4×D4C2×D418yes—
1086C4×D4C2×D4116yes—
1087#117—28no—
1088#117—28no—
1089#117—24no—
1090#117—28no—
1091#117—28no—
1092#117—28no—
1093#117—24no—
1094#117—24no—
1095#117—28no—
1096#117—44no—
1097#117—44no—
1098#117—84no—
1099#117—84no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4—24no—
1104C2×C4⋊C4C2×D418yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2412yes—
1161C2×C22⋊C4—28no—
1162C2×C22⋊C4—216no—
1163C2×C22⋊C4—28no—
1164C2×C22⋊C4—28no—
1165C2×C22⋊C4—216no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4C2×D4116yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C42C2×D418yes—
1255C2×C42C2414yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2414yes—
1266C2×C42C2412yes—
1267C2×C42C2414yes—
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275C2×C42C2411yescharacteristic
1276#95C2412yes—
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2412yes—
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2414yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315C24—24no—
1316C24—28no—
1317C24—44no—
1318C24—44no—
1319C24—42no—
1320C24—42no—
1321C24—44no—
1322C24—44no—
1323C24—44no—
1324C24—42no—
1325C24—42no—
1326C24—44no—
1327C24—44no—
1328C24—44no—
1329C24—44no—
1330C24—44no—
1331C24C22×D418yes—
1332C24C2511yescharacteristic
1333C24C2512yes—
1334C24C2512yes—
1335C24C2514yes—
1336C24C2511yescharacteristic
1337C24C2512yes—
1338C24C2511yescharacteristic
1339C24C2512yes—
1340#41—416no—
1341#41—816no—
1342#41—816no—
1343#41—816no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—22no—
1347C2×Q8—24no—
1348C2×Q8—24no—
1349C2×Q8—24no—
1350C2×Q8—42no—
1351C2×Q8—44no—
1352C2×Q8—41no—
1353C2×Q8—42no—
1354C2×Q8—41no—
1355C2×Q8—42no—
1356C2×D4—28no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—22no—
1360C2×D4—28no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—28no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—28no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—28no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—416no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—41no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—41no—
1429C2×D4—42no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—432no—
1440C2×D4—416no—
1441C2×D4—816no—
1442C2×D4—816no—
1443C2×D4—832no—
1444C2×D4C22×D414yes—
1445C2×D4C22×D414yes—
1446C2×D4C22×D418yes—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—28no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—28no—
1461C22×C4—28no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—42no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—41no—
1472C22×C4—41no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—816no—
1487C22×C4C22×D414yes—
1488C22×C4C22×D414yes—
1489C22×C4C22×D414yes—
1490C22×C4C22×D418yes—
1491C22×C4C22×D418yes—
1492C22×C4C22×D418yes—
1493C22×C4C22×D418yes—
1494C22×C4C22×D418yes—
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2514yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2514yes—
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2512yes—
1506C22×C4C2514yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C22×C4C2511yescharacteristic
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—28no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—28no—
1549C4⋊C4—24no—
1550C4⋊C4—22no—
1551C4⋊C4—22no—
1552C4⋊C4—24no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—42no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—44no—
1567C4⋊C4—42no—
1568C4⋊C4—44no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4—44no—
1572C4⋊C4—42no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4C22×D414yes—
1576C4⋊C4C22×D414yes—
1577C4⋊C4C22×D418yes—
1578C22⋊C4—22no—
1579C22⋊C4—24no—
1580C22⋊C4—28no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—22no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—22no—
1597C22⋊C4—24no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—24no—
1607C22⋊C4—22no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—22no—
1611C22⋊C4—28no—
1612C22⋊C4—28no—
1613C22⋊C4—24no—
1614C22⋊C4—22no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
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—42no—
1650C22⋊C4—42no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4C22×D418yes—
1661C22⋊C4C22×D418yes—
1662C22⋊C4C22×D418yes—
1663C22⋊C4C22×D418yes—
1664C42—28no—
1665C42—24no—
1666C42—24no—
1667C42—24no—
1668C42—22no—
1669C42—24no—
1670C42—22no—
1671C42—24no—
1672C42—24no—
1673C42—44no—
1674C42—42no—
1675C42—44no—
1676C42—42no—
1677C42—42no—
1678C42—42no—
1679C42—42no—
1680C42—42no—
1681C42C22×D414yes—
1682C42C22×D414yes—
1683C42C22×D414yes—
1684C42C22×D414yes—
1685C23—22no—
1686C23—24no—
1687C23—24no—
1688C23—24no—
1689C23—24no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—22no—
1699C23—22no—
1700C23—21no—
1701C23—24no—
1702C23—22no—
1703C23—24no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—24no—
1708C23—24no—
1709C23—21no—
1710C23—22no—
1711C23—21no—
1712C23—24no—
1713C23—22no—
1714C23—24no—
1715C23—24no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—21no—
1720C23—22no—
1721C23—24no—
1722C23—24no—
1723C23—22no—
1724C23—22no—
1725C23—21no—
1726C23—48no—
1727C23—48no—
1728C23—48no—
1729C23—48no—
1730C23—416no—
1731C23—84no—
1732C23—88no—
1733C23—88no—
1734C23—84no—
1735C23—88no—
1736C23—88no—
1737C23—164no—
1738C23—164no—
1739C23—164no—
1740C23—164no—
1741C23—164no—
1742C23—164no—
1743C23C23×D414yes—
1744C23C23×D412yes—
1745C23C23×D414yes—
1746C23C2611yescharacteristic
1747Q8—44no—
1748Q8—44no—
1749Q8—82no—
1750Q8—84no—
1751Q8—84no—
1752D4—28no—
1753D4—28no—
1754D4—48no—
1755D4—44no—
1756D4—48no—
1757D4—48no—
1758D4—416no—
1759D4—44no—
1760D4—48no—
1761D4—48no—
1762D4—416no—
1763D4—48no—
1764D4—44no—
1765D4—44no—
1766D4—48no—
1767D4—82no—
1768D4—88no—
1769D4—84no—
1770D4—84no—
1771D4—84no—
1772D4—84no—
1773D4—84no—
1774D4—84no—
1775D4—88no—
1776D4—88no—
1777D4—88no—
1778D4—84no—
1779D4—88no—
1780D4—84no—
1781D4—88no—
1782D4—164no—
1783D4—164no—
1784D4—164no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—28no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—24no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—24no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—24no—
1838C2×C4—24no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—21no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—21no—
1845C2×C4—22no—
1846C2×C4—44no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—44no—
1853C2×C4—48no—
1854C2×C4—48no—
1855C2×C4—44no—
1856C2×C4—44no—
1857C2×C4—84no—
1858C2×C4—84no—
1859C2×C4—84no—
1860C2×C4—88no—
1861C2×C4—88no—
1862C2×C4—84no—
1863C2×C4—84no—
1864C2×C4—88no—
1865C2×C4C23×D412yes—
1866C2×C4C23×D414yes—
1867C2×C4C23×D414yes—
1868C2×C4C23×D412yes—
1869C2×C4C23×D412yes—
1870C2×C4C23×D412yes—
1871C2×C4C23×D412yes—
1872C2×C4C23×D412yes—
1873C2×C4#58514yes—
1874C22—22no—
1875C22—24no—
1876C22—24no—
1877C22—22no—
1878C22—24no—
1879C22—24no—
1880C22—22no—
1881C22—24no—
1882C22—24no—
1883C22—42no—
1884C22—44no—
1885C22—44no—
1886C22—42no—
1887C22—44no—
1888C22—44no—
1889C22—41no—
1890C22—44no—
1891C22—42no—
1892C22—42no—
1893C22—41no—
1894C22—44no—
1895C22—42no—
1896C22—42no—
1897C22—41no—
1898C22—41no—
1899C22—44no—
1900C22—44no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—44no—
1906C22—42no—
1907C22—44no—
1908C22—44no—
1909C22—42no—
1910C22—42no—
1911C22—44no—
1912C22—42no—
1913C22—41no—
1914C22—41no—
1915C22—42no—
1916C22—42no—
1917C22—44no—
1918C22—816no—
1919C22—168no—
1920C22—1616no—
1921C22C24×D411yescharacteristic
1922C22C2×#58512yes—
1923C22H(7,𝔽2)12yes—
1924C22H(7,𝔽2)11yescharacteristic
1925C22H(7,𝔽2)11yescharacteristic
1926C4—22no—
1927C4—22no—
1928C4—24no—
1929C4—24no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—41no—
1934C4—42no—
1935C4—41no—
1936C4—42no—
1937C4—42no—
1938C4—44no—
1939C4—42no—
1940C4—41no—
1941C4—41no—
1942C4—42no—
1943C4—42no—
1944C4—44no—
1945C4—42no—
1946C4—42no—
1947C4—44no—
1948C4—41no—
1949C4—42no—
1950C4—41no—
1951C4—42no—
1952C4#344914yes—
1953C2—42no—
1954C2—44no—
1955C2—44no—
1956C2—81no—
1957C2—84no—
1958C2—82no—
1959C2—82no—
1960C2—81no—
1961C2C2×#344911yescharacteristic
1962C2#6284211yescharacteristic
1963C2#6285211yescharacteristic
1964C2#6288312yes—
1965C2#6288512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3519C2semidirect
2. C2×#3513C2semidirect
3. #42682C2semidirect
4. #42681C2semidirect
5. #42678C2semidirect
6. #42677C2semidirect
7. #42674C2semidirect
8. #42484C2semidirect
9. #42483C2semidirect
10. #42480C2semidirect
11. #42479C2semidirect
12. #42476C2semidirect
13. #42475C2semidirect
14. #42474C2semidirect
15. #41990C2semidirect
16. #41989C2semidirect
17. #41986C2semidirect
18. #41985C2semidirect
19. #40597C2semidirect
20. #40596C2semidirect
21. #37445C2semidirect
22. #37443C2semidirect
23. #37440C2semidirect
24. #37437C2semidirect
25. #37133C2semidirect
26. #37132C2semidirect
27. #35611C2semidirect
28. #35601C2semidirect
29. #35538C2semidirect
30. #35538C2semidirect
31. #35212C2semidirect
32. #35191C2semidirect
33. #34643C2semidirect
34. #34624C2semidirect
35. #34058C2semidirect
40. C2×#554C22semidirect
41. C2×#554C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
46. C2×#552C22semidirect
47. C2×#551C22semidirect
48. C2×#551C22semidirect
50. C2×#547C22semidirect
52. C2×#546C22semidirect
53. C2×#546C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
58. C2×D42C22semidirect
62. C2×#539C22semidirect
63. C2×#538C22semidirect
64. C2×#538C22semidirect
65. C2×#532C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
69. C2×#525C22semidirect
70. C2×#525C22semidirect
71. C22×#123C22semidirect
72. C22×#121C22semidirect
73. C2×#520C22semidirect
74. C2×#518C22semidirect
75. C2×#518C22semidirect
77. #2861C22semidirect
78. #2860C22semidirect
79. #2858C22semidirect
80. #2816C22semidirect
81. #2816C22semidirect
82. #2815C22semidirect
83. #2815C22semidirect
84. #2814C22semidirect
85. #2814C22semidirect
86. #2813C22semidirect
87. #2813C22semidirect
88. #2813C22semidirect
89. #2813C22semidirect
90. #2812C22semidirect
91. #2812C22semidirect
92. #2727C22semidirect
93. #2725C22semidirect
94. #2710C22semidirect
95. #2707C22semidirect
96. #2705C22semidirect
97. #2705C22semidirect
98. #2703C22semidirect
99. #2702C22semidirect
100. #2701C22semidirect
101. #2700C22semidirect
102. #2699C22semidirect
103. #2697C22semidirect
104. #2689C22semidirect
105. #2687C22semidirect
106. #2685C22semidirect
107. #2682C22semidirect
108. #2682C22semidirect
109. #2681C22semidirect
110. #2681C22semidirect
111. #2679C22semidirect
112. #2678C22semidirect
113. #2678C22semidirect
114. #2678C22semidirect
115. #2678C22semidirect
116. #2674C22semidirect
117. #2674C22semidirect
118. #2672C22semidirect
119. #2672C22semidirect
120. #2670C22semidirect
121. #2670C22semidirect
122. #2669C22semidirect
123. #2669C22semidirect
124. #2664C22semidirect
125. #2664C22semidirect
126. #2664C22semidirect
127. #2663C22semidirect
128. #2663C22semidirect
129. #2663C22semidirect
130. #2663C22semidirect
131. #2662C22semidirect
132. #2662C22semidirect
133. #2662C22semidirect
134. #2662C22semidirect
136. #2661C22semidirect
137. #2661C22semidirect
138. #2661C22semidirect
139. #2661C22semidirect
140. #2661C22semidirect
141. #2661C22semidirect
142. #2661C22semidirect
143. #2660C22semidirect
144. #2657C22semidirect
145. #2641C22semidirect
146. #2640C22semidirect
147. #2638C22semidirect
148. #2638C22semidirect
149. #2635C22semidirect
150. #2635C22semidirect
151. #2630C22semidirect
152. #2630C22semidirect
153. #2625C22semidirect
154. #2624C22semidirect
155. #2624C22semidirect
156. #2623C22semidirect
157. #2623C22semidirect
158. #2622C22semidirect
159. #2620C22semidirect
160. #2619C22semidirect
161. #2618C22semidirect
162. #2618C22semidirect
163. #2617C22semidirect
164. #2617C22semidirect
165. #2616C22semidirect
166. #2615C22semidirect
167. #2615C22semidirect
168. #2613C22semidirect
169. #2613C22semidirect
170. #2613C22semidirect
171. #2613C22semidirect
172. #2613C22semidirect
173. #2611C22semidirect
174. #2610C22semidirect
175. #2603C22semidirect
176. #2603C22semidirect
177. #2602C22semidirect
178. #2602C22semidirect
179. #2602C22semidirect
180. #2602C22semidirect
181. #2602C22semidirect
182. #2592C22semidirect
183. #2591C22semidirect
184. #2584C22semidirect
185. #2562C22semidirect
186. #2561C22semidirect
187. #2548C22semidirect
188. #2547C22semidirect
189. #2546C22semidirect
190. #2541C22semidirect
191. #2540C22semidirect
192. #2539C22semidirect
193. #2539C22semidirect
194. #2486C22semidirect
195. #2486C22semidirect
196. #2485C22semidirect
197. #2484C22semidirect
198. #2482C22semidirect
199. #2480C22semidirect
200. #2476C22semidirect
201. #2472C22semidirect
202. #2470C22semidirect
203. #2466C22semidirect
204. #2464C22semidirect
205. #2459C22semidirect
206. #2457C22semidirect
207. #2456C22semidirect
208. #2456C22semidirect
209. #2455C22semidirect
210. #2455C22semidirect
211. #2454C22semidirect
212. #2454C22semidirect
213. #2453C22semidirect
214. #2452C22semidirect
215. #2447C22semidirect
217. #2445C22semidirect
218. #2445C22semidirect
219. #2442C22semidirect
220. #2441C22semidirect
221. #2441C22semidirect
222. #2439C22semidirect
223. #2435C22semidirect
225. #2433C22semidirect
226. #2432C22semidirect
227. #2431C22semidirect
228. #2431C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
231. #2427C22semidirect
232. #2426C22semidirect
233. #2424C22semidirect
234. #2424C22semidirect
235. #2422C22semidirect
236. #2422C22semidirect
238. #2420C22semidirect
239. #2418C22semidirect
240. #2418C22semidirect
241. #2416C22semidirect
242. #2415C22semidirect
243. #2415C22semidirect
244. #2415C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
249. #2414C22semidirect
250. #2414C22semidirect
251. #2414C22semidirect
252. #2414C22semidirect
253. #2413C22semidirect
254. #2411C22semidirect
255. #2411C22semidirect
256. #2411C22semidirect
258. #2408C22semidirect
259. #2408C22semidirect
260. #2408C22semidirect
261. #2408C22semidirect
262. #2407C22semidirect
263. #2407C22semidirect
264. #2406C22semidirect
265. #2405C22semidirect
266. #2404C22semidirect
267. #2403C22semidirect
268. #2399C22semidirect
269. #2398C22semidirect
270. #2398C22semidirect
271. #2397C22semidirect
272. #2392C22semidirect
273. #2392C22semidirect
274. #2392C22semidirect
275. #2392C22semidirect
276. #2388C22semidirect
277. #2324C22semidirect
278. #2324C22semidirect
279. #2324C22semidirect
280. #2323C22semidirect
281. #2319C22semidirect
282. #2319C22semidirect
283. #2319C22semidirect
284. #2319C22semidirect
285. #2319C22semidirect
286. #2319C22semidirect
287. #2316C22semidirect
288. #2312C22semidirect
290. C4×#127C22semidirect
291. C4×#124C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
296. #2293C22semidirect
297. #2280C22semidirect
298. #2280C22semidirect
299. C4×#117C22semidirect
300. C4×#117C22semidirect
467. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#35132
#426822
#426812
#426782
#426772
#426742
#424842
#424832
#424802
#424792
#424762
#424752
#424742
#419902
#419892
#419862
#419852
#405972
#405962
#374452
#374432
#374402
#374372
#371332
#371322
#356112
#356012
#355382
#352122
#351912
#346432
#346242
#340582