Finite Group Databasebeta

← #7647016

Subgroups — #7647016

Order 512.

7081 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#42890C211yesmaximal, characteristic, complemented
4#42889C211yesmaximal, characteristic, complemented
5#42886C211yesmaximal, characteristic, complemented
6#42885C211yesmaximal, characteristic, complemented
7#42814C211yesmaximal, characteristic, complemented
8#42813C211yesmaximal, characteristic, complemented
9#42810C211yesmaximal, characteristic, complemented
10#42809C211yesmaximal, characteristic, complemented
11#41992C212yesmaximal, complemented
12#41991C212yesmaximal, complemented
13#41988C212yesmaximal, complemented
14#41987C212yesmaximal, complemented
15#39743C212yesmaximal, complemented
16#39359C212yesmaximal, complemented
17#39166C212yesmaximal, complemented
18#38950C212yesmaximal, complemented
19#38087C214yesmaximal, complemented
20#37679C214yesmaximal, complemented
21#37608C212yesmaximal, complemented
22#37556C212yesmaximal, complemented
23#37260C214yesmaximal, complemented
24#37189C214yesmaximal, complemented
25#35526C212yesmaximal, complemented
26#35525C212yesmaximal, complemented
27#35328C212yesmaximal, complemented
28#35303C211yesmaximal, characteristic, complemented
29#35243C212yesmaximal, complemented
30#35234C211yesmaximal, characteristic, complemented
31#35195C212yesmaximal, complemented
32#35144C212yesmaximal, complemented
33#34937C211yesmaximal, characteristic, complemented
34#34876C211yesmaximal, characteristic, complemented
35C2×#2320C211yesmaximal, characteristic, complemented
36#3522—216no—
37#3482—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic
40C2×Q82C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#556C2212yes—
43C2×#556C2211yescharacteristic
44C2×#554C2212yes—
45C2×#554C2211yescharacteristic
46C2×#552C2212yes—
47C2×#552C2211yescharacteristic
48C2×#552C2211yescharacteristic
49C2×#552C2212yes—
50C2×#550C2211yescharacteristic
51C2×D4×Q8C2211yescharacteristic
52C2×#548C2211yescharacteristic
53C2×#548C2211yescharacteristic
54C2×#548C2212yes—
55C2×#547C2212yes—
56C2×#547C2212yes—
57C2×#547C2214yes—
58C2×#547C2211yescharacteristic
59C2×#542C2214yes—
60C2×#542C2212yes—
61C2×#537C2214yes—
62C2×#533C2212yes—
63C2×#533C2211yescharacteristic
64C2×#532C2212yes—
65C2×#532C2211yescharacteristic
66C2×#532C2212yes—
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2212yes—
72C2×#529C2211yescharacteristic
73C2×#520C2212yes—
74C2×C4×#41C2212yes—
75C2×C4×#41C2211yescharacteristic
76C2×C4×#41C2211yescharacteristic
77C22×C4×Q8C2211yescharacteristic
78C22×C4×Q8C2211yescharacteristic
79#2856C2212yes—
80#2854C2214yes—
81#2852C2214yes—
82#2852C2214yes—
83#2850C2214yes—
84#2850C2214yes—
85#2850C2212yes—
86#2822C2212yes—
87#2821C2212yes—
88#2821C2212yes—
89#2820C2212yes—
90#2820C2212yes—
91#2819C2212yes—
92#2818C2212yes—
93#2818C2212yes—
94#2733C2214yes—
95#2732C2214yes—
96#2731C2214yes—
97#2730C2214yes—
98#2730C2214yes—
99#2730C2214yes—
100#2729C2214yes—
101#2728C2214yes—
102#2716C2214yes—
103#2714C2214yes—
104#2713C2214yes—
105#2711C2214yes—
106#2707C2214yes—
107#2705C2214yes—
108#2704C2214yes—
109#2702C2214yes—
110#2696C2214yes—
111#2694C2214yes—
112#2692C2214yes—
113#2690C2214yes—
114#2683C2214yes—
115#2682C2214yes—
116#2681C2214yes—
117#2681C2214yes—
118#2677C2214yes—
119#2677C2214yes—
120#2676C2214yes—
121#2676C2214yes—
122#2674C2214yes—
123#2674C2214yes—
124#2673C2214yes—
125#2673C2214yes—
126#2664C2212yes—
127#2662C2212yes—
128#2660C2211yescharacteristic
129#2657C2211yescharacteristic
130#2656C2214yes—
131#2641C2211yescharacteristic
132#2640C2211yescharacteristic
133#2639C2214yes—
134#2637C2212yes—
135#2637C2212yes—
136#2637C2214yes—
137#2636C2212yes—
138#2636C2212yes—
139#2636C2214yes—
140#2634C2212yes—
141#2633C2212yes—
142#2633C2212yes—
143#2633C2212yes—
144#2632C2212yes—
145#2632C2214yes—
146#2631C2212yes—
147#2631C2212yes—
148#2631C2212yes—
149#2631C2214yes—
150#2621C2212yes—
151#2621C2212yes—
152#2619C2212yes—
153#2619C2212yes—
154#2618C2214yes—
155#2618C2214yes—
156#2611C2211yescharacteristic
157#2611C2211yescharacteristic
158#2610C2211yescharacteristic
159#2610C2211yescharacteristic
160#2610C2214yes—
161#2609C2214yes—
162#2609C2214yes—
163#2604C2212yes—
164#2603C2212yes—
165#2603C2212yes—
166#2603C2212yes—
167#2601C2214yes—
168#2599C2212yes—
169#2599C2212yes—
170#2599C2214yes—
171#2598C2212yes—
172#2598C2212yes—
173#2598C2214yes—
174#2598C2214yes—
175#2598C2214yes—
176#2592C2211yescharacteristic
177#2584C2211yescharacteristic
178#2564C2211yescharacteristic
179#2564C2211yescharacteristic
180#2564C2212yes—
181#2564C2214yes—
182#2562C2211yescharacteristic
183#2548C2211yescharacteristic
184#2547C2211yescharacteristic
185#2546C2211yescharacteristic
186#2545C2212yes—
187#2544C2212yes—
188#2543C2211yescharacteristic
189#2543C2214yes—
190#2543C2214yes—
191#2543C2212yes—
192#2543C2212yes—
193#2543C2212yes—
194#2543C2214yes—
195#2543C2211yescharacteristic
196#2543C2212yes—
197#2543C2212yes—
198#2541C2211yescharacteristic
199#2540C2211yescharacteristic
200#2536C2212yes—
201#2536C2212yes—
202#2536C2214yes—
203#2535C2212yes—
204#2535C2212yes—
205#2535C2214yes—
206#2498C2214yes—
207#2498C2212yes—
208#2481C2214yes—
209#2477C2214yes—
210#2473C2214yes—
211#2471C2214yes—
212#2467C2214yes—
213#2465C2214yes—
214#2463C2214yes—
215#2463C2214yes—
216#2460C2214yes—
217#2458C2214yes—
218#2456C2214yes—
219#2456C2214yes—
220#2454C2212yes—
221#2452C2212yes—
222#2452C2212yes—
223#2451C2212yes—
224#2449C2214yes—
225#2449C2214yes—
226#2448C2212yes—
227#2448C2212yes—
228#2448C2212yes—
229#2446C2212yes—
230#2443C2214yes—
231#2443C2214yes—
232#2442C2212yes—
233#2440C2212yes—
234#2440C2212yes—
235#2439C2212yes—
236#2436C2212yes—
237#2432C2212yes—
238#2431C2212yes—
239#2431C2212yes—
240#2430C2214yes—
241#2430C2212yes—
242#2430C2214yes—
243#2430C2214yes—
244#2430C2214yes—
245#2428C2212yes—
246#2428C2212yes—
247#2427C2212yes—
248#2426C2212yes—
249#2423C2212yes—
250#2423C2212yes—
251#2421C2212yes—
252#2421C2212yes—
253#2417C2212yes—
254#2417C2212yes—
255#2416C2212yes—
256#2416C2212yes—
257#2416C2212yes—
258#2416C2212yes—
259#2416C2212yes—
260#2414C2212yes—
261#2409C2212yes—
262#2407C2212yes—
263#2407C2212yes—
264#2407C2212yes—
265#2399C2211yescharacteristic
266#2398C2211yescharacteristic
267#2398C2211yescharacteristic
268#2397C2211yescharacteristic
269#2392C2212yes—
270#2392C2212yes—
271#2328C2212yes—
272#2326C2212yes—
273#2325C2214yes—
274#2325C2214yes—
275#2324C2212yes—
276#2323C2212yes—
277#2320C2212yes—
278#2320C2212yes—
279#2320C2211yescharacteristic
280#2320C2211yescharacteristic
281#2320C2211yescharacteristic
282#2320C2211yescharacteristic
283#2320C2214yes—
284#2320C2212yes—
285#2320C2212yes—
286#2311C2214yes—
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yes—
291#2297C2212yes—
292C2×#391C2212yes—
293C2×#389C2212yes—
294#2290C2212yes—
295#2290C2212yes—
296C2×#387C2214yes—
297C2×#383C2212yes—
298C2×#382C2212yes—
299C2×C4×C4⋊C4C2211yescharacteristic
300C2×#376C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2314yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×Q8C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309#559—28no—
310#559—216no—
311Q82—28no—
312#557—28no—
313#556—28no—
314#556—216no—
315#554—28no—
316#554—216no—
317#552—28no—
318#552—216no—
319#552—28no—
320#552—216no—
321#550—28no—
322D4×Q8—28no—
323#548—28no—
324#548—216no—
325#548—28no—
326#547—216no—
327#547—28no—
328#547—216no—
329#547—232no—
330#542—216no—
331#542—232no—
332#537—416no—
333#533—28no—
334#533—216no—
335#532—216no—
336#532—28no—
337#532—48no—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×#127C2312yes—
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350C2×#127C2312yes—
351#529—28no—
352#529—216no—
353#529—28no—
354#529—216no—
355#529—28no—
356#529—216no—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#125C2311yescharacteristic
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2311yescharacteristic
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2314yes—
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2311yescharacteristic
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2314yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2314yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444#520—216no—
445C4×#41—28no—
446C4×#41—216no—
447C4×#41—28no—
448C2×C4×Q8—28no—
449C2×C4×Q8D4116yescomplemented
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2314yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2314yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2314yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2311yescharacteristic
508C2×#117C2311yescharacteristic
509C2×#117C2311yescharacteristic
510C2×#117C2312yes—
511C2×#117C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2314yes—
516C22×C4⋊C4C2314yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2311yescharacteristic
520C22×C42C2312yes—
521C22×C42C2312yes—
522C22×C42C2311yescharacteristic
523C22×C42C2311yescharacteristic
524C22×C42C2312yes—
525C22×C42C2312yes—
526C22×C42C2311yescharacteristic
527C22×C42C2312yes—
528#400C2312yes—
529#400C2311yescharacteristic
530#400C2314yes—
531#400C2311yescharacteristic
532#400C2314yes—
533#400C2314yes—
534#400C2314yes—
535#400C2312yes—
536#399C2311yescharacteristic
537#399C2312yes—
538#399C2314yes—
539#399C2311yescharacteristic
540#399C2314yes—
541#399C2314yes—
542#399C2314yes—
543#399C2312yes—
544#399C2314yes—
545#399C2314yes—
546#398C2311yescharacteristic
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2312yes—
555#398C2314yes—
556#398C2314yes—
557#398C2312yes—
558#398C2311yescharacteristic
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#397C2312yes—
564#397C2312yes—
565#397C2314yes—
566#397C2311yescharacteristic
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2314yes—
571#397C2312yes—
572#397C2311yescharacteristic
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#395C2311yescharacteristic
590#395C2312yes—
591#395C2314yes—
592#395C2311yescharacteristic
593#395C2314yes—
594#395C2314yes—
595#395C2314yes—
596#395C2312yes—
597#395C2314yes—
598#394C2312yes—
599#394C2311yescharacteristic
600#394C2312yes—
601#394C2312yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2312yes—
609#394C2314yes—
610#394C2312yes—
611#394C2314yes—
612#394C2314yes—
613#394C2312yes—
614#394C2311yescharacteristic
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#393C2311yescharacteristic
623#393C2312yes—
624#393C2314yes—
625#393C2311yescharacteristic
626#393C2314yes—
627#393C2314yes—
628#393C2314yes—
629#393C2312yes—
630#393C2314yes—
631#393C2314yes—
632#393C2314yes—
633#392C2311yescharacteristic
634#392C2312yes—
635#392C2312yes—
636#392C2314yes—
637#392C2314yes—
638#392C2312yes—
639#392C2314yes—
640#392C2314yes—
641#392C2312yes—
642#392C2314yes—
643#392C2312yes—
644#392C2314yes—
645#392C2312yes—
646#392C2311yescharacteristic
647#392C2314yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#391C2314yes—
653#391C2314yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2314yes—
659#391C2314yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#390C2314yes—
665#390C2314yes—
666#390C2312yes—
667#390C2314yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2314yes—
672#390C2314yes—
673#390C2314yes—
674#390C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2314yes—
683#389C2312yes—
684#389C2314yes—
685#389C2312yes—
686#389C2312yes—
687#389C2314yes—
688#389C2312yes—
689#389C2314yes—
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2312yes—
716#388C2314yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2314yes—
722#388C2314yes—
723#388C2312yes—
724#388C2312yes—
725#387C2314yes—
726#387C2312yes—
727#387C2312yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2312yes—
745#387C2312yes—
746#386C2314yes—
747#386C2312yes—
748#386C2314yes—
749#386C2312yes—
750#386C2314yes—
751#386C2312yes—
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#386C2312yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2312yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#386C2312yes—
781#386C2312yes—
782#386C2312yes—
783#385C2314yes—
784#385C2312yes—
785#385C2312yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#385C2314yes—
798#385C2314yes—
799#385C2314yes—
800#385C2312yes—
801#385C2312yes—
802#384C2312yes—
803#383C2312yes—
804#383C2312yes—
805#383C2314yes—
806#383C2314yes—
807#383C2312yes—
808#383C2312yes—
809#382C2312yes—
810#382C2312yes—
811#382C2314yes—
812#382C2314yes—
813#382C2312yes—
814#382C2312yes—
815#382C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2314yes—
820#380C2312yes—
821#380C2314yes—
822#380C2314yes—
823#380C2314yes—
824#380C2314yes—
825#380C2312yes—
826#380C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840#376C2312yes—
841#376C2311yescharacteristic
842#376C2311yescharacteristic
843#376C2312yes—
844#376C2311yescharacteristic
845#376C2311yescharacteristic
846C2×#95C2311yescharacteristic
847C2×#95C2311yescharacteristic
848C2×#95C2312yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C2×#95C2312yes—
852C2×#95C2314yes—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—216no—
860C2×#41—28no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—48no—
865C2×#41—48no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C22×Q8—24no—
871C22×Q8—44no—
872C22×Q8—44no—
873C22×Q8C2×D418yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×Q8C2414yes—
882C22×Q8C2412yes—
883C22×Q8C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2414yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C4⋊Q8—24no—
931C4⋊Q8—28no—
932C4⋊Q8—24no—
933C4⋊Q8—28no—
934C4⋊Q8—28no—
935C4⋊Q8—216no—
936C4⋊Q8—28no—
937C4⋊Q8—24no—
938C4⋊Q8—44no—
939#127—28no—
940#127—24no—
941#127—44no—
942#127—44no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—216no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#125—24no—
952#125—28no—
953#125—28no—
954#125—28no—
955#125—28no—
956#125—28no—
957#125—24no—
958#125—24no—
959#125—28no—
960#124—24no—
961#124—28no—
962#124—28no—
963#124—216no—
964#124—28no—
965#124—24no—
966#124—24no—
967#124—28no—
968#124—216no—
969#124—28no—
970#124—44no—
971#124—44no—
972#124—44no—
973#123—28no—
974#123—216no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—216no—
982#123—216no—
983#123—216no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—216no—
990C22⋊Q8—24no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—24no—
997C22⋊Q8—28no—
998C22⋊Q8—216no—
999C22⋊Q8—216no—
1000C22⋊Q8—216no—
1001C22⋊Q8—48no—
1002C22⋊Q8—48no—
1003C22⋊Q8—48no—
1004C22⋊Q8—48no—
1005C22⋊Q8—44no—
1006#121—216no—
1007#121—28no—
1008#121—24no—
1009#121—28no—
1010#121—24no—
1011#121—28no—
1012#121—28no—
1013#121—216no—
1014#121—24no—
1015#121—28no—
1016#121—28no—
1017#121—216no—
1018#121—48no—
1019#121—48no—
1020#121—48no—
1021#121—44no—
1022#121—44no—
1023#121—44no—
1024#121—44no—
1025#121—48no—
1026#121—48no—
1027#121—48no—
1028#121—48no—
1029#121—48no—
1030C4×Q8—24no—
1031C4×Q8—24no—
1032C4×Q8—28no—
1033C4×Q8—24no—
1034C4×Q8—28no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8—28no—
1042C4×Q8—24no—
1043C4×Q8C2×D418yes—
1044C4×Q8C2×D418yes—
1045C4×Q8C2×D4116yes—
1046C4×Q8C2×D418yes—
1047C4×Q8C2×D418yes—
1048C4×Q8C2×D4116yes—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—24no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—28no—
1071C4×D4—24no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—44no—
1076C4×D4—44no—
1077C4×D4—48no—
1078C4×D4—48no—
1079#117—28no—
1080#117—24no—
1081#117—24no—
1082#117—28no—
1083#117—24no—
1084#117—28no—
1085#117—24no—
1086#117—28no—
1087#117—28no—
1088#117—216no—
1089#117—28no—
1090#117—28no—
1091#117—28no—
1092C2×C4⋊C4—24no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—216no—
1096C2×C4⋊C4—44no—
1097C2×C4⋊C4—48no—
1098C2×C4⋊C4C2×D418yes—
1099C2×C4⋊C4C2×D4116yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C42—24no—
1229C2×C42—28no—
1230C2×C42—24no—
1231C2×C42—28no—
1232C2×C42—44no—
1233C2×C42—44no—
1234C2×C42C2×D418yes—
1235C2×C42C2×D4116yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2412yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2414yes—
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2412yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2412yes—
1251C2×C42C2414yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264#95C2412yes—
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2412yes—
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
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—
1315C24C2511yescharacteristic
1316C24C2512yes—
1317C24C2512yes—
1318C24C2514yes—
1319C24C2511yescharacteristic
1320C24C2511yescharacteristic
1321#41—416no—
1322#41—432no—
1323#41—416no—
1324#41—432no—
1325#41—816no—
1326#41—832no—
1327C2×Q8—22no—
1328C2×Q8—24no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—22no—
1332C2×Q8—28no—
1333C2×Q8—24no—
1334C2×Q8—24no—
1335C2×Q8—22no—
1336C2×Q8—24no—
1337C2×Q8—24no—
1338C2×Q8—24no—
1339C2×Q8—44no—
1340C2×Q8—44no—
1341C2×Q8—42no—
1342C2×Q8—42no—
1343C2×Q8—41no—
1344C2×Q8—44no—
1345C2×Q8—42no—
1346C2×Q8—44no—
1347C2×Q8—42no—
1348C2×Q8—416no—
1349C2×Q8—416no—
1350C2×Q8C22×D414yes—
1351C2×Q8C22×D414yes—
1352C2×Q8C22×D418yes—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—28no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—28no—
1378C2×D4—24no—
1379C2×D4—28no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—41no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—42no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4H(5,𝔽2)14yes—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—28no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—28no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—28no—
1445C22×C4—28no—
1446C22×C4—28no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—42no—
1467C22×C4—44no—
1468C22×C4—42no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4C22×D414yes—
1473C22×C4C22×D418yes—
1474C22×C4C22×D414yes—
1475C22×C4C22×D414yes—
1476C22×C4C22×D418yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2514yes—
1480C22×C4C2512yes—
1481C22×C4C2514yes—
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2514yes—
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C4⋊C4—24no—
1507C4⋊C4—28no—
1508C4⋊C4—28no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—22no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—28no—
1539C4⋊C4—24no—
1540C4⋊C4—28no—
1541C4⋊C4—24no—
1542C4⋊C4—28no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4C22×D414yes—
1563C4⋊C4C22×D418yes—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D418yes—
1566C4⋊C4C22×D418yes—
1567C4⋊C4C22×D418yes—
1568C4⋊C4C22×D418yes—
1569C22⋊C4—22no—
1570C22⋊C4—24no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—24no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—28no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—22no—
1587C22⋊C4—24no—
1588C22⋊C4—22no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—24no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C42—22no—
1635C42—22no—
1636C42—24no—
1637C42—22no—
1638C42—24no—
1639C42—22no—
1640C42—24no—
1641C42—24no—
1642C42—22no—
1643C42—24no—
1644C42—22no—
1645C42—28no—
1646C42—24no—
1647C42—24no—
1648C42—24no—
1649C42—42no—
1650C42—42no—
1651C42—44no—
1652C42—42no—
1653C42—42no—
1654C42C22×D414yes—
1655C42C22×D418yes—
1656C42C22×D418yes—
1657C42C22×D414yes—
1658C42C22×D414yes—
1659C42C22×D418yes—
1660C42C22×D418yes—
1661C42C22×D414yes—
1662C23—22no—
1663C23—22no—
1664C23—21no—
1665C23—22no—
1666C23—21no—
1667C23—22no—
1668C23—22no—
1669C23—21no—
1670C23—22no—
1671C23—24no—
1672C23—22no—
1673C23—24no—
1674C23—21no—
1675C23—22no—
1676C23—22no—
1677C23—24no—
1678C23—21no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—24no—
1684C23—24no—
1685C23—24no—
1686C23—22no—
1687C23—24no—
1688C23—24no—
1689C23—22no—
1690C23—24no—
1691C23—22no—
1692C23C23×D412yes—
1693C23C2×H(5,𝔽2)12yes—
1694C23C2×H(5,𝔽2)12yes—
1695C23#58512yes—
1696C23C2611yescharacteristic
1697Q8—28no—
1698Q8—28no—
1699Q8—48no—
1700Q8—48no—
1701Q8—44no—
1702Q8—44no—
1703Q8—48no—
1704Q8—44no—
1705Q8—88no—
1706Q8—84no—
1707D4—28no—
1708D4—48no—
1709D4—44no—
1710D4—44no—
1711D4—48no—
1712D4—416no—
1713D4—48no—
1714D4—44no—
1715D4—48no—
1716D4—416no—
1717D4—48no—
1718D4—44no—
1719D4—48no—
1720D4—88no—
1721D4—84no—
1722D4—84no—
1723D4—88no—
1724D4—88no—
1725D4—84no—
1726D4—164no—
1727D4—164no—
1728D4—164no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—24no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—28no—
1745C2×C4—216no—
1746C2×C4—28no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—44no—
1796C2×C4—48no—
1797C2×C4—44no—
1798C2×C4—48no—
1799C2×C4—44no—
1800C2×C4—48no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—48no—
1804C2×C4—48no—
1805C2×C4—416no—
1806C2×C4—48no—
1807C2×C4—44no—
1808C2×C4—44no—
1809C2×C4—48no—
1810C2×C4—88no—
1811C2×C4—88no—
1812C2×C4—88no—
1813C2×C4—84no—
1814C2×C4—88no—
1815C2×C4—84no—
1816C2×C4C23×D412yes—
1817C2×C4C23×D414yes—
1818C2×C4C23×D414yes—
1819C2×C4C23×D412yes—
1820C2×C4C23×D414yes—
1821C2×C4C23×D412yes—
1822C2×C4C23×D412yes—
1823C2×C4C23×D414yes—
1824C2×C4C23×D412yes—
1825C2×C4C23×D412yes—
1826C2×C4C2×H(5,𝔽2)12yes—
1827C2×C4#58514yes—
1828C22—22no—
1829C22—24no—
1830C22—22no—
1831C22—24no—
1832C22—22no—
1833C22—24no—
1834C22—41no—
1835C22—41no—
1836C22—42no—
1837C22—41no—
1838C22—42no—
1839C22—42no—
1840C22—44no—
1841C22—41no—
1842C22—42no—
1843C22—42no—
1844C22—44no—
1845C22—42no—
1846C22—42no—
1847C22—44no—
1848C22—44no—
1849C22—44no—
1850C22—42no—
1851C22—42no—
1852C22—44no—
1853C22—41no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—44no—
1858C22—44no—
1859C22—44no—
1860C22—42no—
1861C22#348814yes—
1862C22C24×D411yescharacteristic
1863C22C22×H(5,𝔽2)11yescharacteristic
1864C22C2×#58511yescharacteristic
1865C22C2×#58512yes—
1866C222−1+612yes—
1867C4—22no—
1868C4—24no—
1869C4—24no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—24no—
1876C4—24no—
1877C4—41no—
1878C4—42no—
1879C4—44no—
1880C4—42no—
1881C4—41no—
1882C4—41no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—44no—
1887C4—44no—
1888C4—42no—
1889C4—41no—
1890C4—42no—
1891C4—41no—
1892C4—42no—
1893C4—42no—
1894C4—42no—
1895C4#344914yes—
1896C2—24no—
1897C2—42no—
1898C2—81no—
1899C2—82no—
1900C2—82no—
1901C2—84no—
1902C2C2×#344911yescharacteristic
1903C2C2×#348811yescharacteristic
1904C2#6284811yescharacteristic
1905C2#6292112yes—
1906C2#6297112yes—
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×#3522C2semidirect
2. C2×#3482C2semidirect
3. #42890C2semidirect
4. #42889C2semidirect
5. #42886C2semidirect
6. #42885C2semidirect
7. #42814C2semidirect
8. #42813C2semidirect
9. #42810C2semidirect
10. #42809C2semidirect
11. #41992C2semidirect
12. #41991C2semidirect
13. #41988C2semidirect
14. #41987C2semidirect
15. #39743C2semidirect
16. #39359C2semidirect
17. #39166C2semidirect
18. #38950C2semidirect
19. #38087C2semidirect
20. #37679C2semidirect
21. #37608C2semidirect
22. #37556C2semidirect
23. #37260C2semidirect
24. #37189C2semidirect
25. #35526C2semidirect
26. #35525C2semidirect
27. #35328C2semidirect
28. #35303C2semidirect
29. #35243C2semidirect
30. #35234C2semidirect
31. #35195C2semidirect
32. #35144C2semidirect
33. #34937C2semidirect
34. #34876C2semidirect
35. C2×#2320C2semidirect
449. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#34822
#428902
#428892
#428862
#428852
#428142
#428132
#428102
#428092
#419922
#419912
#419882
#419872
#397432
#393592
#391662
#389502
#380872
#376792
#376082
#375562
#372602
#371892
#355262
#355252
#353282
#353032
#352432
#352342
#351952
#351442
#349372
#348762
C2×#23202