Finite Group Databasebeta

← #26005456

Subgroups — #26005456

Order 11008.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149230C214yesmaximal, complemented
2#19149221C214yesmaximal, complemented
3#19149092C214yesmaximal, complemented
4#19149071C212yesmaximal, complemented
5#19149062C212yesmaximal, complemented
6#19149033C212yesmaximal, complemented
7#19148930C212yesmaximal, complemented
8#19148793C214yesmaximal, complemented
9#19148690C212yesmaximal, complemented
10#19148675C212yesmaximal, complemented
11#19148632C214yesmaximal, complemented
12#19148611C212yesmaximal, complemented
13#19148566C214yesmaximal, complemented
14#19148564C212yesmaximal, complemented
15#19148490C212yesmaximal, complemented
16#19148457C211yesmaximal, characteristic, complemented
17#19148452C214yesmaximal, complemented
18#19148417C212yesmaximal, complemented
19#19148400C211yesmaximal, characteristic, complemented
20#19148398C211yesmaximal, characteristic, complemented
21#19148349C214yesmaximal, complemented
22#19148348C212yesmaximal, complemented
23#19148327C212yesmaximal, complemented
24#19147890C211yesmaximal, characteristic, complemented
25#533×D43C211yesmaximal, characteristic, complemented
26C2×#14583431C211yesmaximal, characteristic, complemented
27C43×#3506C211yesmaximal, characteristic, complemented
28#14583652C2218yescomplemented
29#14583651C2218yescomplemented
30#14583649C2218yescomplemented
31#14583644C2218yescomplemented
32#14583635C2212yescomplemented
33#14583635C2214yescomplemented
34#14583635C2214yescomplemented
35Q8×Dic86C2212yescomplemented
36#14583629C2212yescomplemented
37#14583628C2214yescomplemented
38#14583627C2212yescomplemented
39#14583627C2214yescomplemented
40#14583626C2214yescomplemented
41#14583625C2214yescomplemented
42#14583624C2212yescomplemented
43#14583624C2212yescomplemented
44#14583619C2218yescomplemented
45#14583619C2212yescomplemented
46#14583618C2214yescomplemented
47#14583618C2214yescomplemented
48#14583618C2214yescomplemented
49#14583618C2218yescomplemented
50#14583617C2214yescomplemented
51#14583617C2214yescomplemented
52#14583613C2214yes—
53#14583608C2218yes—
54#14583608C2214yescomplemented
55#14583608C2214yescomplemented
56#14583608C2214yescomplemented
57#14583606C2218yes—
58#14583606C2212yescomplemented
59#14583606C2212yescomplemented
60#14583606C2212yescomplemented
61#14583606C2214yescomplemented
62#14583604C2214yescomplemented
63#14583601C2214yes—
64#14583596C2214yes—
65#14583591C2214yescomplemented
66#14583589C2218yes—
67#14583589C2218yescomplemented
68#14583589C2214yescomplemented
69#14583588C2214yescomplemented
70#14583588C2214yescomplemented
71#14583586C2218yescomplemented
72#14583586C2218yescomplemented
73#14583586C2218yescomplemented
74#14583585C2218yescomplemented
75#14583584C2214yescomplemented
76#14583580C2218yes—
77#14583580C2218yes—
78#14583580C2218yes—
79#14583578C2218yes—
80D4×Dic86C2212yescomplemented
81D4×Dic86C2212yescomplemented
82#14583562C2214yescomplemented
83#14583556C2214yescomplemented
84#14583555C2214yescomplemented
85#14583549C2214yes—
86#14583549C2218yescomplemented
87#14583549C2214yescomplemented
88#14583548C2214yescomplemented
89#14583536C2218yes—
90#14583530C2212yes—
91#14583530C2214yescomplemented
92#14583528C2214yes—
93#14583527C2212yes—
94#14583527C2214yescomplemented
95#14583527C2214yescomplemented
96#14583525C2214yes—
97#14583518C2214yes—
98#14583517C2218yescomplemented
99#14583516C2214yescomplemented
100#14583516C2214yescomplemented
101#14583516C2214yescomplemented
102#14583516C2218yescomplemented
103#14583516C2214yescomplemented
104#14583514C2214yescomplemented
105#14583513C2218yescomplemented
106#14583509C2214yescomplemented
107#14583509C2214yescomplemented
108#14583507C2214yescomplemented
109#14583506C2218yescomplemented
110#14583506C2218yescomplemented
111#14583503C2214yes—
112#14583494C2214yes—
113#14583494C2218yescomplemented
114#14583493C2218yescomplemented
115#14583492C2218yescomplemented
116#14583492C2218yescomplemented
117#14583491C2218yescomplemented
118#14583470C2212yes—
119#14583470C2214yescomplemented
120#14583469C2218yescomplemented
121#14583456C2211yescharacteristic
122#14583456C2211yescharacteristic
123#14583455C2212yescomplemented
124#14583454C2211yescharacteristic, complemented
125#14583454C2211yescharacteristic, complemented
126#14583454C2211yescharacteristic, complemented
127#14583454C2211yescharacteristic, complemented
128#14583453C2212yescomplemented
129#14583453C2212yescomplemented
130#14583453C2214yescomplemented
131#14583452C2212yes—
132#14583452C2214yescomplemented
133#14583451C2212yes—
134#14583451C2214yes—
135#14583451C2212yes—
136#14583447C2214yes—
137#14583447C2211yescharacteristic, complemented
138#14583447C2211yescharacteristic, complemented
139C4⋊Q8×D43C2211yescharacteristic, complemented
140C4⋊Q8×D43C2211yescharacteristic, complemented
141#14583431C2212yes—
142#14583431C2212yes—
143#14583431C2212yes—
144#14583431C2212yes—
145#14583431C2212yes—
146#14583431C2212yes—
147#14583431C2212yes—
148#14583431C2212yes—
149#14583431C2214yescomplemented
150#14583431C2212yescomplemented
151#14583431C2212yescomplemented
152#14583430C2212yes—
153#14583430C2214yes—
154#14583430C2212yes—
155#14583430C2214yescomplemented
156#14583430C2214yescomplemented
157#14583428C2214yes—
158#14583428C2212yescomplemented
159#14583428C2212yescomplemented
160C2×#13063318C2212yes—
161C2×#13063316C2211yescharacteristic
162C2×#13063316C2214yescomplemented
163#125×D43C2212yescomplemented
164C2×#13063312C2211yescharacteristic
165#14583409C2212yes—
166#14583409C2212yes—
167#14583406C2212yes—
168C2×#13063307C2212yes—
169C2×#13063305C2211yescharacteristic
170C2×#13063304C2214yes—
171C22⋊Q8×D43C2212yes—
172C22⋊Q8×D43C2212yes—
173C2×#13063296C2211yescharacteristic
174#14583382C2212yes—
175#14583382C2214yescomplemented
176#14583378C2218yescomplemented
177#14583376C2212yes—
178#14583376C2214yescomplemented
179#14583374C2212yes—
180#41×Dic43C2212yes—
181C4×#10621900C2212yescomplemented
182C4×#10621900C2212yescomplemented
183C2×C4×Dic86C2211yescharacteristic
184C4×Q8×D43C2212yescomplemented
185C4×Q8×D43C2212yescomplemented
186C2×C4×C22⋊D43C2212yes—
187C2×#13063284C2212yes—
188#117×D43C2212yes—
189C2×C42×D43C2211yescharacteristic
190C43×#559C2214yescomplemented
191C43×#556C2212yescomplemented
192C43×#555C2212yescomplemented
193C43×#553C2214yescomplemented
194C43×#550C2212yescomplemented
195C43×#547C2212yescomplemented
196C43×#538C2214yes—
197C43×#535C2212yes—
198C43×#533C2211yescharacteristic
199C43×#532C2211yescharacteristic
200C43×#525C2214yes—
201C43×#520C2212yes—
202C2×C4×D4×C43C2211yescharacteristic
203C2×#10621900C2312yes—
204C2×#10621900C2312yes—
205C2×#10621900C2318yes—
206C22×Dic86C2311yescharacteristic
207C22×Dic86C2314yes—
208C2×Q8×D43C2312yes—
209C2×Q8×D43C2312yes—
210C22×C22⋊D43C2312yes—
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214#13063325C2311yescharacteristic
215#13063325C2311yescharacteristic
216#13063325C2318yes—
217#13063325C2311yescharacteristic
218#13063325C2311yescharacteristic
219#13063325C2314yes—
220#13063324C2318yes—
221#13063324C2314yes—
222#13063324C2314yes—
223#13063324C2314yes—
224#13063324C2314yes—
225#13063324C2318yes—
226#13063324C2312yes—
227#13063324C2312yes—
228#13063324C2312yes—
229#13063324C2312yes—
230#13063323C2314yes—
231#13063323C2314yes—
232#13063323C2318yes—
233#13063323C2312yes—
234#13063323C2312yes—
235#13063320C2318yes—
236#13063319C2318yes—
237#13063318C2318yes—
238#13063318C2318yes—
239#13063318C2318yes—
240#13063318C2318yes—
241#13063318C2318yes—
242#13063318C2318yes—
243#13063318C2314yes—
244#13063318C2314yes—
245#13063318C2318yes—
246#13063318C2318yes—
247#13063318C2318yes—
248#13063318C2318yes—
249#13063318C2314yes—
250#13063318C2314yes—
251#13063318C2314yes—
252#13063318C2314yes—
253#13063317C2318yes—
254#13063317C2318yes—
255#13063317C2312yes—
256#13063317C2312yes—
257#13063317C2314yes—
258#13063316C2314yes—
259#13063316C2318yes—
260#13063316C2318yes—
261#13063316C2318yes—
262#13063316C2314yes—
263#13063316C2314yes—
264#13063316C2314yes—
265#13063316C2312yes—
266#13063316C2312yes—
267#13063316C2312yes—
268#13063316C2312yes—
269#13063316C2312yes—
270#13063316C2312yes—
271#13063316C2312yes—
272#13063316C2312yes—
273#13063315C2318yes—
274#13063315C2318yes—
275#13063315C2318yes—
276#13063315C2314yes—
277#13063315C2318yes—
278#13063315C2318yes—
279#13063315C2318yes—
280#13063315C2314yes—
281#13063312C2314yes—
282#13063312C2318yes—
283#13063312C2318yes—
284#13063312C2318yes—
285#13063312C2312yes—
286#13063312C2312yes—
287#13063312C2314yes—
288#13063312C2312yes—
289#13063312C2312yes—
290#13063312C2312yes—
291#13063312C2312yes—
292#13063311C2318yes—
293#13063311C2318yes—
294#13063309C2318yes—
295#13063308C2318yes—
296#13063307C2318yes—
297#13063307C2314yes—
298#13063307C2318yes—
299#13063307C2314yes—
300#13063307C2314yes—
301#13063307C2314yes—
302#13063307C2314yes—
303#13063307C2314yes—
304#13063306C2318yes—
305#13063306C2314yes—
306#13063306C2318yes—
307#13063306C2318yes—
308#13063306C2318yes—
309#13063306C2318yes—
310#13063306C2318yes—
311#13063306C2318yes—
312#13063306C2318yes—
313#13063305C2312yes—
314#13063305C2312yes—
315#13063305C2312yes—
316#13063305C2312yes—
317#13063305C2312yes—
318#13063305C2312yes—
319#13063305C2312yes—
320#13063305C2312yes—
321#13063304C2314yes—
322#13063304C2318yes—
323#13063304C2314yes—
324#13063304C2318yes—
325#13063304C2314yes—
326#13063304C2318yes—
327#13063304C2314yes—
328#13063304C2318yes—
329#13063304C2318yes—
330#13063304C2312yes—
331#13063304C2312yes—
332#13063304C2312yes—
333#13063304C2312yes—
334#13063303C2318yes—
335#13063303C2314yes—
336#13063303C2314yes—
337#13063302C2318yes—
338#13063302C2318yes—
339#13063302C2318yes—
340#13063302C2318yes—
341#13063302C2314yes—
342#13063302C2314yes—
343#13063302C2318yes—
344#13063302C2318yes—
345#13063302C2318yes—
346#13063302C2318yes—
347#13063302C2318yes—
348#13063302C2318yes—
349#13063302C2318yes—
350#13063302C2318yes—
351#13063302C2318yes—
352#13063301C2312yes—
353#13063301C2312yes—
354#13063301C2312yes—
355#13063301C2312yes—
356#13063297C2318yes—
357#13063297C2318yes—
358#13063296C2312yes—
359#13063296C2318yes—
360#13063296C2312yes—
361#13063296C2312yes—
362#13063296C2312yes—
363#13063296C2312yes—
364#13063296C2312yes—
365#13063296C2312yes—
366#13063296C2312yes—
367#13063293C2314yes—
368Q8×Dic43C2314yes—
369Q8×Dic43C2312yes—
370Q8×Dic43C2312yes—
371Q8×Dic43C2312yes—
372Q8×Dic43C2312yes—
373Q8×Dic43C2314yes—
374C4×Dic86C2312yes—
375C4×Dic86C2312yes—
376C4×Dic86C2318yes—
377C4×Dic86C2318yes—
378C4×Dic86C2312yes—
379C4×Dic86C2314yes—
380C4×Dic86C2312yes—
381C4×Dic86C2318yes—
382C4×Dic86C2312yes—
383C4×Dic86C2312yes—
384C4×Dic86C2314yes—
385C4×Dic86C2312yes—
386C4×Dic86C2314yes—
387C4×Dic86C2314yes—
388C4×Dic86C2312yes—
389#13063290C2314yes—
390#13063290C2314yes—
391#13063290C2314yes—
392#13063290C2312yes—
393#13063290C2314yes—
394#13063290C2318yes—
395#13063290C2314yes—
396#13063290C2312yes—
397#13063290C2314yes—
398#13063290C2312yes—
399#13063290C2312yes—
400D4×Dic43C2318yes—
401D4×Dic43C2314yes—
402D4×Dic43C2314yes—
403D4×Dic43C2314yes—
404D4×Dic43C2314yes—
405D4×Dic43C2318yes—
406D4×Dic43C2318yes—
407D4×Dic43C2318yes—
408D4×Dic43C2314yes—
409D4×Dic43C2312yes—
410D4×Dic43C2314yes—
411D4×Dic43C2314yes—
412D4×Dic43C2314yes—
413D4×Dic43C2312yes—
414D4×Dic43C2312yes—
415D4×Dic43C2312yes—
416C4×C22⋊D43C2314yes—
417C4×C22⋊D43C2314yes—
418C4×C22⋊D43C2318yes—
419C4×C22⋊D43C2314yes—
420C4×C22⋊D43C2314yes—
421C4×C22⋊D43C2314yes—
422C4×C22⋊D43C2314yes—
423(C22⋊D43)⋊C4C2318yes—
424(C22⋊D43)⋊C4C2314yes—
425(C22⋊D43)⋊C4C2314yes—
426#13063284C2318yes—
427#13063284C2314yes—
428#13063284C2314yes—
429#13063284C2314yes—
430#13063284C2312yes—
431#13063284C2314yes—
432#13063284C2314yes—
433#13063284C2312yes—
434#13063284C2314yes—
435#13063283C2312yes—
436#13063283C2312yes—
437#13063283C2312yes—
438#13063283C2312yes—
439#13063282C2318yes—
440#13063282C2314yes—
441#13063281C2318yes—
442#13063281C2314yes—
443#13063281C2318yes—
444#13063281C2318yes—
445#13063281C2318yes—
446#13063281C2314yes—
447#13063281C2314yes—
448#13063281C2318yes—
449C2×C4⋊Dic43C2312yes—
450C2×C4⋊Dic43C2314yes—
451C2×C4⋊Dic43C2318yes—
452C2×C4⋊Dic43C2314yes—
453C2×C4⋊Dic43C2312yes—
454C2×C4⋊Dic43C2311yescharacteristic
455C2×Dic43⋊C4C2318yes—
456C2×Dic43⋊C4C2318yes—
457C2×Dic43⋊C4C2312yes—
458C2×Dic43⋊C4C2312yes—
459C4⋊C4×D43C2314yes—
460C4⋊C4×D43C2312yes—
461C4⋊C4×D43C2312yes—
462C4⋊C4×D43C2312yes—
463C4⋊C4×D43C2314yes—
464C4⋊C4×D43C2312yes—
465C2×C22⋊Dic43C2312yes—
466C2×C22⋊Dic43C2312yes—
467C2×C22⋊Dic43C2312yes—
468C2×C22⋊Dic43C2318yes—
469C2×(C2×D43)⋊C4C2312yes—
470C22⋊C4×D43C2314yes—
471C2×C4×Dic43C2311yescharacteristic
472C2×C4×Dic43C2311yescharacteristic
473C2×C4×Dic43C2311yescharacteristic
474C2×C4×Dic43C2312yes—
475C2×C4×Dic43C2314yes—
476C42×D43C2311yescharacteristic
477C42×D43C2311yescharacteristic
478C42×D43C2311yescharacteristic
479C42×D43C2311yescharacteristic
480C42×D43C2311yescharacteristic
481C42×D43C2311yescharacteristic
482C42×D43C2311yescharacteristic
483C42×D43C2311yescharacteristic
484C42×D43C2314yes—
485C2×#41×C43C2312yes—
486C2×#41×C43C2314yes—
487C22×D4×C43C2311yescharacteristic
488C23×C4×C43C2312yes—
489C4⋊Q8×C43C2311yescharacteristic
490C4⋊Q8×C43C2311yescharacteristic
491C4⋊Q8×C43C2311yescharacteristic
492#127×C43C2311yescharacteristic
493#127×C43C2314yes—
494#126×C43C2318yes—
495#125×C43C2312yes—
496#124×C43C2312yes—
497#124×C43C2314yes—
498#124×C43C2318yes—
499#123×C43C2318yes—
500#123×C43C2318yes—
501C22⋊Q8×C43C2314yes—
502C22⋊Q8×C43C2312yes—
503C22⋊Q8×C43C2312yes—
504#121×C43C2314yes—
505#121×C43C2312yes—
506#121×C43C2312yes—
507#121×C43C2314yes—
508#121×C43C2314yes—
509#121×C43C2318yes—
510#120×C43C2318yes—
511C4×Q8×C43C2314yes—
512C4×Q8×C43C2312yes—
513C4×Q8×C43C2312yes—
514C4×D4×C43C2312yes—
515C4×D4×C43C2312yes—
516C4×D4×C43C2312yes—
517C4×D4×C43C2312yes—
518C4×D4×C43C2318yes—
519C4×D4×C43C2314yes—
520C4×D4×C43C2318yes—
521C4×D4×C43C2312yes—
522C4×D4×C43C2312yes—
523#117×C43C2312yes—
524#117×C43C2314yes—
525#117×C43C2314yes—
526C2×C4⋊C4×C43C2311yescharacteristic
527C2×C4⋊C4×C43C2314yes—
528C2×C22⋊C4×C43C2312yes—
529C2×C42×C43C2311yescharacteristic
530C24×C43C2412yes—
531C23×D43C2411yescharacteristic
532#41×C43—28no—
533#41×C43—48no—
534C2×Q8×C43C2412yes—
535C2×Q8×C43C2412yes—
536C2×Q8×C43C2412yes—
537C2×D4×C43—24no—
538C2×D4×C43C2414yes—
539C2×D4×C43C2412yes—
540C2×D4×C43C2412yes—
541C2×D4×C43C2412yes—
542C2×D4×C43C2412yes—
543C2×D4×C43C2418yes—
544C2×D4×C43C2412yes—
545C2×D4×C43C2418yes—
546C22×C4×C43—44no—
547C22×C4×C43C2411yescharacteristic
548C22×C4×C43C2414yes—
549C22×C4×C43C2414yes—
550C22×C4×C43C2411yescharacteristic
551C22×C4×C43C2412yes—
552C22×C4×C43C2418yes—
553C22×C4×C43C2414yes—
554C22×C4×C43C2411yescharacteristic
555C2×C22⋊D43—44no—
556C2×C22⋊D43C2414yes—
557C2×C22⋊D43C2414yes—
558C2×C22⋊D43C2414yes—
559C2×C22⋊D43C2414yes—
560C22×Dic43C2411yescharacteristic
561C22×Dic43C2412yes—
562C22×Dic43C2411yescharacteristic
563C22×Dic43C2411yescharacteristic
564C22×Dic43C2412yes—
565C22×Dic43C2414yes—
566C22×Dic43C2414yes—
567C22×Dic43C2418yes—
568C22×Dic43C2418yes—
569C22×Dic43C2418yes—
570Q8×D43—44no—
571Q8×D43—44no—
572#10621900—44no—
573#10621900—44no—
574#10621900—416no—
575C2×C4×D43—24no—
576C2×C4×D43—42no—
577C2×C4×D43—42no—
578C2×C4×D43C2411yescharacteristic
579C2×C4×D43C2411yescharacteristic
580C2×C4×D43C2411yescharacteristic
581C2×C4×D43C2411yescharacteristic
582C2×C4×D43C2411yescharacteristic
583C2×C4×D43C2411yescharacteristic
584C2×C4×D43C2411yescharacteristic
585C2×C4×D43C2411yescharacteristic
586C2×C4×D43C2414yes—
587C2×C4×D43C2411yescharacteristic
588C2×C4×D43C2411yescharacteristic
589C2×C4×D43C2411yescharacteristic
590C2×C4×D43C2411yescharacteristic
591C2×C4×D43C2414yes—
592C2×Dic86—24no—
593C2×Dic86—48no—
594C2×Dic86C2412yes—
595C2×Dic86C2412yes—
596C2×Dic86C2412yes—
597C2×Dic86C2412yes—
598C2×Dic86C2412yes—
599C2×Dic86C2414yes—
600C2×Dic86C2412yes—
601C2×Dic86C2418yes—
602C2×Dic86C2414yes—
603C2×Dic86C2418yes—
604C4⋊C4×C43C2412yes—
605C4⋊C4×C43C2412yes—
606C4⋊C4×C43C2412yes—
607C4⋊C4×C43C2418yes—
608C4⋊C4×C43C2412yes—
609C4⋊C4×C43C2412yes—
610C4⋊C4×C43C2412yes—
611C4⋊C4×C43C2414yes—
612C4⋊C4×C43C2412yes—
613C4⋊C4×C43C2414yes—
614C4⋊C4×C43C2412yes—
615C22⋊C4×C43C2414yes—
616C22⋊C4×C43C2414yes—
617C22⋊C4×C43C2414yes—
618C22⋊C4×C43C2418yes—
619C22⋊C4×C43C2418yes—
620C22⋊C4×C43C2414yes—
621C22⋊C4×C43C2418yes—
622C22⋊C4×C43C2414yes—
623C42×C43C2411yescharacteristic
624C42×C43C2411yescharacteristic
625C42×C43C2411yescharacteristic
626C42×C43C2411yescharacteristic
627C42×C43C2418yes—
628C42×C43C2414yes—
629C22⋊Dic43C2414yes—
630C22⋊Dic43C2414yes—
631C22⋊Dic43C2414yes—
632C22⋊Dic43C2414yes—
633C22⋊Dic43C2414yes—
634C22⋊Dic43C2414yes—
635C22⋊Dic43C2414yes—
636C22⋊Dic43C2414yes—
637C22⋊Dic43C2418yes—
638C22⋊Dic43C2418yes—
639C22⋊Dic43C2414yes—
640C22⋊Dic43C2414yes—
641C22⋊Dic43C2418yes—
642C22⋊Dic43C2418yes—
643C22⋊Dic43C2414yes—
644C22⋊Dic43C2414yes—
645C22⋊Dic43C2418yes—
646(C2×D43)⋊C4C2414yes—
647(C2×D43)⋊C4C2414yes—
648(C2×D43)⋊C4C2414yes—
649(C2×D43)⋊C4C2414yes—
650(C2×D43)⋊C4C2414yes—
651(C2×D43)⋊C4C2414yes—
652C4⋊Dic43C2412yes—
653C4⋊Dic43C2412yes—
654C4⋊Dic43C2414yes—
655C4⋊Dic43C2412yes—
656C4⋊Dic43C2414yes—
657C4⋊Dic43C2412yes—
658C4⋊Dic43C2412yes—
659C4⋊Dic43C2414yes—
660C4⋊Dic43C2412yes—
661C4⋊Dic43C2418yes—
662C4⋊Dic43C2414yes—
663C4⋊Dic43C2414yes—
664C4⋊Dic43C2414yes—
665C4⋊Dic43C2412yes—
666C4⋊Dic43C2418yes—
667C4⋊Dic43C2418yes—
668C4⋊Dic43C2412yes—
669C4⋊Dic43C2412yes—
670C4⋊Dic43C2412yes—
671C4⋊Dic43C2414yes—
672C4⋊Dic43C2414yes—
673Dic43⋊C4C2414yes—
674Dic43⋊C4C2414yes—
675Dic43⋊C4C2414yes—
676Dic43⋊C4C2414yes—
677Dic43⋊C4C2414yes—
678Dic43⋊C4C2414yes—
679Dic43⋊C4C2414yes—
680Dic43⋊C4C2414yes—
681Dic43⋊C4C2414yes—
682Dic43⋊C4C2414yes—
683Dic43⋊C4C2418yes—
684Dic43⋊C4C2418yes—
685Dic43⋊C4C2414yes—
686Dic43⋊C4C2418yes—
687Dic43⋊C4C2414yes—
688Dic43⋊C4C2414yes—
689Dic43⋊C4C2414yes—
690Dic43⋊C4C2418yes—
691Dic43⋊C4C2414yes—
692Dic43⋊C4C2414yes—
693Dic43⋊C4C2418yes—
694Dic43⋊C4C2418yes—
695Dic43⋊C4C2418yes—
696Dic43⋊C4C2418yes—
697C4×Dic43C2411yescharacteristic
698C4×Dic43C2411yescharacteristic
699C4×Dic43C2411yescharacteristic
700C4×Dic43C2411yescharacteristic
701C4×Dic43C2411yescharacteristic
702C4×Dic43C2411yescharacteristic
703C4×Dic43C2411yescharacteristic
704C4×Dic43C2411yescharacteristic
705C4×Dic43C2411yescharacteristic
706C4×Dic43C2411yescharacteristic
707C4×Dic43C2411yescharacteristic
708C4×Dic43C2411yescharacteristic
709C4×Dic43C2414yes—
710C4×Dic43C2414yes—
711C4×Dic43C2414yes—
712C4×Dic43C2414yes—
713C4×Dic43C2414yes—
714C4×Dic43C2414yes—
715C4×Dic43C2414yes—
716C4×Dic43C2414yes—
717C4×Dic43C2418yes—
718C4×Dic43C2418yes—
719C4×Dic43C2418yes—
720C23×C43—24no—
721C23×C43—42no—
722C23×C43—42no—
723C23×C43C2514yes—
724C23×C43C2514yes—
725C23×C43C2511yescharacteristic
726C22×D43—22no—
727C22×D43—22no—
728C22×D43—41no—
729C22×D43C2511yescharacteristic
730C22×D43C2511yescharacteristic
731Q8×C43—24no—
732Q8×C43—24no—
733Q8×C43—42no—
734D4×C43—28no—
735D4×C43—24no—
736D4×C43—24no—
737D4×C43—24no—
738D4×C43—24no—
739D4×C43—48no—
740D4×C43—42no—
741D4×C43—48no—
742C2×C4×C43—28no—
743C2×C4×C43—28no—
744C2×C4×C43—22no—
745C2×C4×C43—41no—
746C2×C4×C43—42no—
747C2×C4×C43—44no—
748C2×C4×C43—48no—
749C2×C4×C432−1+414yes—
750C2×C4×C43C2511yescharacteristic
751C2×C4×C43C2514yes—
752C2×C4×C43C2514yes—
753C2×C4×C43C2514yes—
754C2×C4×C43C2511yescharacteristic
755C2×C4×C43C2511yescharacteristic
756C2×C4×C43C2514yes—
757C2×C4×C43C2511yescharacteristic
758C2×C4×C43C2511yescharacteristic
759C2×C4×C43C2511yescharacteristic
760C22⋊D43—28no—
761C22⋊D43—28no—
762C22⋊D43—44no—
763C22⋊D43—44no—
764C2×Dic43—24no—
765C2×Dic43—22no—
766C2×Dic43—48no—
767C2×Dic43—41no—
768C2×Dic43—41no—
769C2×Dic43—44no—
770C2×Dic43—48no—
771C2×Dic43—44no—
772C2×Dic43—48no—
773C2×Dic43—42no—
774C2×Dic43C2511yescharacteristic
775C2×Dic43C2511yescharacteristic
776C2×Dic43C2511yescharacteristic
777C2×Dic43C2514yes—
778C2×Dic43C2511yescharacteristic
779C2×Dic43C2514yes—
780C2×Dic43C2514yes—
781C2×Dic43C2514yes—
782C2×Dic43C2511yescharacteristic
783C2×Dic43C2514yes—
784C2×Dic43C2511yescharacteristic
785C2×Dic43C2514yes—
786C4×D43—22no—
787C4×D43—22no—
788C4×D43—28no—
789C4×D43—22no—
790C4×D43—22no—
791C4×D43—22no—
792C4×D43—22no—
793C4×D43—22no—
794C4×D43—22no—
795C4×D43—41no—
796C4×D43—41no—
797C4×D43—41no—
798C4×D43—41no—
799C4×D43—44no—
800Dic86—24no—
801Dic86—24no—
802Dic86—24no—
803Dic86—24no—
804Dic86—48no—
805Dic86—42no—
806Dic86—48no—
807Dic86—44no—
808Dic86—44no—
809Dic86—42no—
810#62831—431nomaximal, Sylow
811C22×C43—21no—
812C22×C43—21no—
813C22×C43—24no—
814C22×C43—24no—
815C22×C43—24no—
816C22×C43—24no—
817C22×C43—24no—
818C22×C43—24no—
819C22×C43—84no—
820C22×C43C2×2−1+412yes—
821C22×C43C2611yescharacteristic
822C2×D43—21no—
823C2×D43—21no—
824C2×D43—21no—
825C2×D43—21no—
826C2×D43—21no—
827C2×D43—44no—
828C2×D43#58512yes—
829C4×C43—24no—
830C4×C43—24no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—24no—
834C4×C43—24no—
835C4×C43—21no—
836C4×C43C2×2−1+412yes—
837C4×C43C2×2−1+412yes—
838C4×C43#58512yes—
839Dic43—24no—
840Dic43—21no—
841Dic43—21no—
842Dic43—24no—
843Dic43—24no—
844Dic43—21no—
845Dic43—21no—
846Dic43—24no—
847Dic43—24no—
848Dic43—24no—
849Dic43—21no—
850Dic43—21no—
851#3565—434no—
852#3564—434no—
853#3557—434no—
854#3555—432no—
855#3554—432no—
856#3552—432no—
857#3544—432no—
858#3535—434no—
859#3523—432no—
860#3522—432no—
861#3520—434no—
862#3518—432no—
863#3515—434no—
864#3515—432no—
865#3510—432no—
866#3507—434no—
867#3507—431no—
868#3506D4311yescharacteristic, complemented
869#3504—432no—
870#3502—431no—
871#3501—431no—
872#3495—434no—
873#3495—432no—
874#3494—432no—
875#3444—431no—
876C2×#533—431no—
877C2×#529—431no—
878C2×C43—22no—
879C2×C43—44no—
880C2×C43—44no—
881C2×C43C22×2−1+411yescharacteristic
882C2×C43C2×#58511yescharacteristic
883C2×C43C2×#58511yescharacteristic
884D43—22no—
885D43—41no—
886#563—438no—
887#563—438no—
888#563—438no—
889#562—438no—
890#559—434no—
891#559—432no—
892#559—434no—
893#559C2×D4314yescomplemented
894Q82—432no—
895Q82—432no—
896#557—432no—
897#557—432no—
898#557—434no—
899#557—434no—
900#557—434no—
901#557—432no—
902#557—434no—
903#556—434no—
904#556—434no—
905#556—438no—
906#556—434no—
907#556—438no—
908#556—432no—
909#556—434no—
910#556—434no—
911#556C2×D4312yescomplemented
912#555—434no—
913#555C2×D4312yescomplemented
914#554—438no—
915#554—432no—
916#554—432no—
917#554—434no—
918#554—432no—
919#554—438no—
920#554—434no—
921#554—434no—
922#554—434no—
923#554—434no—
924#553—434no—
925#553—434no—
926#553C2×D4314yescomplemented
927#552—438no—
928#552—438no—
929#552—438no—
930#552—438no—
931#552—434no—
932#552—438no—
933#552—438no—
934#552—434no—
935#552—434no—
936#552—434no—
937#552—434no—
938#551—438no—
939#551—438no—
940#551—438no—
941#551—438no—
942#550C2×D4312yescomplemented
943D4×Q8—434no—
944D4×Q8—432no—
945D4×Q8—432no—
946#548—434no—
947#548—434no—
948#547—434no—
949#547—434no—
950#547—438no—
951#547—434no—
952#547C2×D4312yescomplemented
953#546—438no—
954#544—434no—
955#544—432no—
956#544—434no—
957#544—434no—
958#544—432no—
959#544—434no—
960#543—434no—
961#542—434no—
962#542—438no—
963#542—438no—
964#542—434no—
965#542—434no—
966#542—434no—
967#542—434no—
968#542—438no—
969#542—434no—
970#541—438no—
971#541—438no—
972#541—434no—
973#541—434no—
974#541—434no—
975#540—434no—
976#539—438no—
977#539—438no—
978#539—438no—
979#539—434no—
980#539—438no—
981#539—438no—
982#538C2×D4314yes—
983#536—432no—
984#536—434no—
985#536—438no—
986#535C2×D4312yes—
987#533—431no—
988#533—431no—
989#533—431no—
990#533—431no—
991#533—432no—
992#533—432no—
993#533—432no—
994#533—434no—
995#533—432no—
996#533—432no—
997#533—434no—
998#533—432no—
999#533—434no—
1000#533—431no—
1001#533—431no—
1002#533C2×D4311yescharacteristic
1003#532—431no—
1004#532—431no—
1005#532—434no—
1006#532C2×D4311yescharacteristic
1007C2×C4⋊Q8—431no—
1008C2×C4⋊Q8—431no—
1009#529—432no—
1010#529—432no—
1011#529—434no—
1012#529—432no—
1013#529—432no—
1014#529—434no—
1015#529—434no—
1016#529—434no—
1017#529—432no—
1018#529—432no—
1019#529—432no—
1020#529—432no—
1021#529—432no—
1022#529—432no—
1023#529—432no—
1024#529—432no—
1025#529—432no—
1026#529—432no—
1027#529—434no—
1028C2×#126—432no—
1029C2×#125—432no—
1030C2×#125—431no—
1031C2×#125—434no—
1032C2×#124—431no—
1033#525—432no—
1034#525—432no—
1035#525—432no—
1036#525C2×D4314yes—
1037C2×#123—432no—
1038C2×C22⋊Q8—434no—
1039C2×C22⋊Q8—432no—
1040C2×C22⋊Q8—432no—
1041C2×C22⋊Q8—431no—
1042C2×#121—431no—
1043#520—432no—
1044#520—434no—
1045#520—438no—
1046#520C2×D4312yes—
1047#519—432no—
1048#519—434no—
1049#518—432no—
1050C4×#41—432no—
1051C4×#41—432no—
1052C4×#41—432no—
1053C2×C4×Q8—432no—
1054C2×C4×Q8—432no—
1055C2×C4×Q8—431no—
1056C2×C4×D4—432no—
1057C2×C4×D4C2×D4311yescharacteristic
1058C2×#117—432no—
1059C2×#117—432no—
1060C22×C42—431no—
1061C43#6283111yescharacteristic, complemented, Sylow
1062C2×#41—432no—
1063C2×#41—432no—
1064C2×#41—438no—
1065C2×#41C22×D4312yes—
1066C2×#41C22×D4314yes—
1067C22×Q8—432no—
1068C22×Q8—432no—
1069C22×Q8—431no—
1070C22×Q8—434no—
1071C22×D4—432no—
1072C22×D4C22×D4311yescharacteristic
1073C23×C4—431no—
1074C23×C4—431no—
1075C23×C4—431no—
1076C23×C4C22×D4312yes—
1077C4⋊Q8—432no—
1078C4⋊Q8—432no—
1079C4⋊Q8—434no—
1080C4⋊Q8—434no—
1081C4⋊Q8—438no—
1082C4⋊Q8—432no—
1083C4⋊Q8—432no—
1084C4⋊Q8—432no—
1085C4⋊Q8—432no—
1086C4⋊Q8—434no—
1087C4⋊Q8—434no—
1088C4⋊Q8—434no—
1089C4⋊Q8—434no—
1090C4⋊Q8—438no—
1091C4⋊Q8—438no—
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—434no—
1097C4⋊Q8—438no—
1098C4⋊Q8C22×D4311yescharacteristic
1099C4⋊Q8C22×D4311yescharacteristic
1100C4⋊Q8C22×D4311yescharacteristic
1101#127C22×D4311yescharacteristic
1102#127C22×D4314yes—
1103#126—438no—
1104#126—434no—
1105#126—434no—
1106#126—434no—
1107#126—434no—
1108#126—434no—
1109#126—434no—
1110#126—438no—
1111#126—438no—
1112#126—438no—
1113#126—438no—
1114#126—438no—
1115#126—438no—
1116#126—438no—
1117#126—438no—
1118#126—438no—
1119#126—438no—
1120#126—438no—
1121#126C22×D4318yes—
1122#125—432no—
1123#125—432no—
1124#125—432no—
1125#125—432no—
1126#125—432no—
1127#125—432no—
1128#125—434no—
1129#125—434no—
1130#125—438no—
1131#125—438no—
1132#125—434no—
1133#125—434no—
1134#125—432no—
1135#125—432no—
1136#125—434no—
1137#125—434no—
1138#125—438no—
1139#125—438no—
1140#125—438no—
1141#125—438no—
1142#125—438no—
1143#125—438no—
1144#125—438no—
1145#125—432no—
1146#125—432no—
1147#125—434no—
1148#125—438no—
1149#125—438no—
1150#125C22×D4312yes—
1151#124—432no—
1152#124—432no—
1153#124—432no—
1154#124—432no—
1155#124—432no—
1156#124—432no—
1157#124—434no—
1158#124—434no—
1159#124—438no—
1160#124—438no—
1161#124—438no—
1162#124—438no—
1163#124—438no—
1164#124C22×D4312yes—
1165#124C22×D4314yes—
1166#124C22×D4318yes—
1167#123—434no—
1168#123—438no—
1169#123—438no—
1170#123—438no—
1171#123—438no—
1172#123—438no—
1173#123—438no—
1174#123—438no—
1175#123—438no—
1176#123—438no—
1177#123—434no—
1178#123—434no—
1179#123—434no—
1180#123—434no—
1181#123—434no—
1182#123—434no—
1183#123—438no—
1184#123—438no—
1185#123—438no—
1186#123C22×D4318yes—
1187#123C22×D4318yes—
1188C22⋊Q8—432no—
1189C22⋊Q8—432no—
1190C22⋊Q8—432no—
1191C22⋊Q8—432no—
1192C22⋊Q8—432no—
1193C22⋊Q8—432no—
1194C22⋊Q8—432no—
1195C22⋊Q8—438no—
1196C22⋊Q8—434no—
1197C22⋊Q8—434no—
1198C22⋊Q8—438no—
1199C22⋊Q8—432no—
1200C22⋊Q8—434no—
1201C22⋊Q8—434no—
1202C22⋊Q8—438no—
1203C22⋊Q8—438no—
1204C22⋊Q8—438no—
1205C22⋊Q8—432no—
1206C22⋊Q8—432no—
1207C22⋊Q8—432no—
1208C22⋊Q8—432no—
1209C22⋊Q8—432no—
1210C22⋊Q8—434no—
1211C22⋊Q8—432no—
1212C22⋊Q8—434no—
1213C22⋊Q8—432no—
1214C22⋊Q8—432no—
1215C22⋊Q8—438no—
1216C22⋊Q8—434no—
1217C22⋊Q8—434no—
1218C22⋊Q8—438no—
1219C22⋊Q8—438no—
1220C22⋊Q8—438no—
1221C22⋊Q8—438no—
1222C22⋊Q8—438no—
1223C22⋊Q8—438no—
1224C22⋊Q8—438no—
1225C22⋊Q8—438no—
1226C22⋊Q8—438no—
1227C22⋊Q8—438no—
1228C22⋊Q8—438no—
1229C22⋊Q8—438no—
1230C22⋊Q8—438no—
1231C22⋊Q8C22×D4312yes—
1232C22⋊Q8C22×D4312yes—
1233C22⋊Q8C22×D4314yes—
1234#121—432no—
1235#121—432no—
1236#121—432no—
1237#121—432no—
1238#121—432no—
1239#121—432no—
1240#121—432no—
1241#121—432no—
1242#121—438no—
1243#121—438no—
1244#121—438no—
1245#121C22×D4312yes—
1246#121C22×D4312yes—
1247#121C22×D4314yes—
1248#121C22×D4314yes—
1249#121C22×D4314yes—
1250#121C22×D4318yes—
1251#120—434no—
1252#120C22×D4318yes—
1253C4×Q8—432no—
1254C4×Q8—432no—
1255C4×Q8—432no—
1256C4×Q8—432no—
1257C4×Q8—434no—
1258C4×Q8—434no—
1259C4×Q8—432no—
1260C4×Q8—434no—
1261C4×Q8—432no—
1262C4×Q8—434no—
1263C4×Q8—432no—
1264C4×Q8—432no—
1265C4×Q8—434no—
1266C4×Q8—434no—
1267C4×Q8—434no—
1268C4×Q8—434no—
1269C4×Q8—438no—
1270C4×Q8—432no—
1271C4×Q8—432no—
1272C4×Q8—432no—
1273C4×Q8—432no—
1274C4×Q8—432no—
1275C4×Q8—432no—
1276C4×Q8—434no—
1277C4×Q8—434no—
1278C4×Q8—432no—
1279C4×Q8—432no—
1280C4×Q8—434no—
1281C4×Q8—438no—
1282C4×Q8—438no—
1283C4×Q8—434no—
1284C4×Q8—438no—
1285C4×Q8C22×D4312yes—
1286C4×Q8C22×D4312yes—
1287C4×Q8C22×D4314yes—
1288C4×D4—432no—
1289C4×D4—434no—
1290C4×D4—434no—
1291C4×D4—432no—
1292C4×D4—432no—
1293C4×D4—432no—
1294C4×D4—434no—
1295C4×D4—434no—
1296C4×D4—434no—
1297C4×D4—434no—
1298C4×D4—438no—
1299C4×D4—438no—
1300C4×D4—438no—
1301C4×D4—434no—
1302C4×D4—434no—
1303C4×D4—438no—
1304C4×D4—434no—
1305C4×D4—434no—
1306C4×D4—434no—
1307C4×D4—434no—
1308C4×D4—434no—
1309C4×D4—434no—
1310C4×D4—438no—
1311C4×D4—434no—
1312C4×D4—434no—
1313C4×D4—438no—
1314C4×D4C22×D4312yes—
1315C4×D4C22×D4312yes—
1316C4×D4C22×D4312yes—
1317C4×D4C22×D4312yes—
1318C4×D4C22×D4312yes—
1319C4×D4C22×D4312yes—
1320C4×D4C22×D4318yes—
1321C4×D4C22×D4318yes—
1322C4×D4C22×D4314yes—
1323#117—432no—
1324#117—434no—
1325#117—434no—
1326#117—434no—
1327#117—434no—
1328#117—432no—
1329#117—434no—
1330#117—438no—
1331#117—434no—
1332#117—432no—
1333#117—432no—
1334#117—432no—
1335#117—432no—
1336#117—434no—
1337#117—434no—
1338#117—434no—
1339#117—438no—
1340#117—438no—
1341#117—438no—
1342#117—438no—
1343#117—438no—
1344#117—434no—
1345#117—438no—
1346#117C22×D4312yes—
1347#117C22×D4314yes—
1348#117C22×D4314yes—
1349C2×C4⋊C4—432no—
1350C2×C4⋊C4—432no—
1351C2×C4⋊C4—432no—
1352C2×C4⋊C4—431no—
1353C2×C4⋊C4—432no—
1354C2×C4⋊C4—438no—
1355C2×C4⋊C4—434no—
1356C2×C4⋊C4—438no—
1357C2×C4⋊C4—438no—
1358C2×C4⋊C4—434no—
1359C2×C4⋊C4—432no—
1360C2×C4⋊C4—432no—
1361C2×C4⋊C4—434no—
1362C2×C4⋊C4—434no—
1363C2×C4⋊C4—432no—
1364C2×C4⋊C4—432no—
1365C2×C4⋊C4C22×D4311yescharacteristic
1366C2×C4⋊C4C22×D4314yes—
1367C2×C22⋊C4—432no—
1368C2×C22⋊C4—432no—
1369C2×C22⋊C4—432no—
1370C2×C22⋊C4—438no—
1371C2×C22⋊C4—432no—
1372C2×C22⋊C4—434no—
1373C2×C22⋊C4C22×D4312yes—
1374C2×C42—431no—
1375C2×C42—432no—
1376C2×C42—434no—
1377C2×C42—431no—
1378C2×C42—431no—
1379C2×C42—434no—
1380C2×C42—431no—
1381C2×C42—431no—
1382C2×C42—431no—
1383C2×C42—431no—
1384C2×C42—431no—
1385C2×C42—431no—
1386C2×C42—431no—
1387C2×C42—431no—
1388C2×C42C22×D4311yescharacteristic
1389C24—431no—
1390C24C23×D4312yes—
1391#41—28no—
1392#41—48no—
1393#41—1724no—
1394#41—1724no—
1395#41—17216no—
1396C2×Q8—432no—
1397C2×Q8—432no—
1398C2×Q8—432no—
1399C2×Q8—432no—
1400C2×Q8—432no—
1401C2×Q8—438no—
1402C2×Q8—434no—
1403C2×Q8—434no—
1404C2×Q8—432no—
1405C2×Q8—438no—
1406C2×Q8—864no—
1407C2×Q8—1728no—
1408C2×Q8—1724no—
1409C2×Q8—1724no—
1410C2×Q8C23×D4312yes—
1411C2×Q8C23×D4312yes—
1412C2×Q8C23×D4312yes—
1413C2×D4—24no—
1414C2×D4—434no—
1415C2×D4—434no—
1416C2×D4—434no—
1417C2×D4—434no—
1418C2×D4—1724no—
1419C2×D4C23×D4314yes—
1420C2×D4C23×D4312yes—
1421C2×D4C23×D4312yes—
1422C2×D4C23×D4312yes—
1423C2×D4C23×D4312yes—
1424C2×D4C23×D4318yes—
1425C2×D4C23×D4318yes—
1426C2×D4C23×D4312yes—
1427C22×C4—44no—
1428C22×C4—431no—
1429C22×C4—432no—
1430C22×C4—431no—
1431C22×C4—431no—
1432C22×C4—432no—
1433C22×C4—434no—
1434C22×C4—434no—
1435C22×C4—438no—
1436C22×C4—438no—
1437C22×C4—438no—
1438C22×C4—431no—
1439C22×C4—431no—
1440C22×C4—431no—
1441C22×C4—431no—
1442C22×C4—431no—
1443C22×C4—431no—
1444C22×C4—431no—
1445C22×C4—431no—
1446C22×C4—434no—
1447C22×C4—431no—
1448C22×C4—431no—
1449C22×C4—431no—
1450C22×C4—431no—
1451C22×C4—434no—
1452C22×C4—864no—
1453C22×C4—1722no—
1454C22×C4—1722no—
1455C22×C4C23×D4311yescharacteristic
1456C22×C4C23×D4314yes—
1457C22×C4C23×D4314yes—
1458C22×C4C23×D4311yescharacteristic
1459C22×C4C23×D4312yes—
1460C22×C4C23×D4318yes—
1461C22×C4C23×D4314yes—
1462C22×C4C23×D4311yescharacteristic
1463C4⋊C4—432no—
1464C4⋊C4—432no—
1465C4⋊C4—434no—
1466C4⋊C4—434no—
1467C4⋊C4—434no—
1468C4⋊C4—432no—
1469C4⋊C4—434no—
1470C4⋊C4—434no—
1471C4⋊C4—432no—
1472C4⋊C4—434no—
1473C4⋊C4—438no—
1474C4⋊C4—438no—
1475C4⋊C4—432no—
1476C4⋊C4—434no—
1477C4⋊C4—434no—
1478C4⋊C4—434no—
1479C4⋊C4—434no—
1480C4⋊C4—434no—
1481C4⋊C4—434no—
1482C4⋊C4—432no—
1483C4⋊C4—434no—
1484C4⋊C4—434no—
1485C4⋊C4—438no—
1486C4⋊C4—438no—
1487C4⋊C4—438no—
1488C4⋊C4—438no—
1489C4⋊C4—434no—
1490C4⋊C4—432no—
1491C4⋊C4—434no—
1492C4⋊C4—434no—
1493C4⋊C4—434no—
1494C4⋊C4—434no—
1495C4⋊C4—434no—
1496C4⋊C4—438no—
1497C4⋊C4—432no—
1498C4⋊C4—432no—
1499C4⋊C4—432no—
1500C4⋊C4—434no—
1501C4⋊C4—434no—
1502C4⋊C4—434no—
1503C4⋊C4—434no—
1504C4⋊C4—438no—
1505C4⋊C4—438no—
1506C4⋊C4—438no—
1507C4⋊C4—438no—
1508C4⋊C4C23×D4312yes—
1509C4⋊C4C23×D4312yes—
1510C4⋊C4C23×D4312yes—
1511C4⋊C4C23×D4314yes—
1512C4⋊C4C23×D4314yes—
1513C4⋊C4C23×D4312yes—
1514C4⋊C4C23×D4312yes—
1515C4⋊C4C23×D4312yes—
1516C4⋊C4C23×D4318yes—
1517C4⋊C4C23×D4312yes—
1518C4⋊C4C23×D4312yes—
1519C22⋊C4—434no—
1520C22⋊C4—434no—
1521C22⋊C4—434no—
1522C22⋊C4—434no—
1523C22⋊C4—434no—
1524C22⋊C4—434no—
1525C22⋊C4—434no—
1526C22⋊C4—438no—
1527C22⋊C4—438no—
1528C22⋊C4—434no—
1529C22⋊C4—434no—
1530C22⋊C4—438no—
1531C22⋊C4—434no—
1532C22⋊C4—434no—
1533C22⋊C4—434no—
1534C22⋊C4—438no—
1535C22⋊C4—438no—
1536C22⋊C4—434no—
1537C22⋊C4—434no—
1538C22⋊C4—434no—
1539C22⋊C4—434no—
1540C22⋊C4—434no—
1541C22⋊C4—434no—
1542C22⋊C4C23×D4314yes—
1543C22⋊C4C23×D4314yes—
1544C22⋊C4C23×D4314yes—
1545C22⋊C4C23×D4314yes—
1546C22⋊C4C23×D4318yes—
1547C22⋊C4C23×D4318yes—
1548C22⋊C4C23×D4314yes—
1549C22⋊C4C23×D4318yes—
1550C42—431no—
1551C42—431no—
1552C42—431no—
1553C42—431no—
1554C42—431no—
1555C42—431no—
1556C42—431no—
1557C42—431no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—434no—
1563C42—434no—
1564C42—434no—
1565C42—434no—
1566C42—434no—
1567C42—434no—
1568C42—434no—
1569C42—434no—
1570C42—438no—
1571C42—438no—
1572C42—438no—
1573C42C23×D4311yescharacteristic
1574C42C23×D4311yescharacteristic
1575C42C23×D4311yescharacteristic
1576C42C23×D4311yescharacteristic
1577C42C23×D4314yes—
1578C42C23×D4318yes—
1579C23—24no—
1580C23—42no—
1581C23—42no—
1582C23—431no—
1583C23—431no—
1584C23—862no—
1585C23—862no—
1586C23—1721no—
1587C23C24×D4314yes—
1588C23C24×D4314yes—
1589C23C24×D4311yescharacteristic
1590Q8—24no—
1591Q8—24no—
1592Q8—42no—
1593Q8—864no—
1594Q8—864no—
1595Q8—864no—
1596Q8—864no—
1597Q8—1722no—
1598Q8—1724no—
1599Q8—1728no—
1600Q8—1724no—
1601Q8—1722no—
1602Q8—1728no—
1603D4—28no—
1604D4—24no—
1605D4—24no—
1606D4—24no—
1607D4—24no—
1608D4—48no—
1609D4—42no—
1610D4—48no—
1611D4—868no—
1612D4—868no—
1613D4—1724no—
1614D4—1724no—
1615C2×C4—28no—
1616C2×C4—22no—
1617C2×C4—28no—
1618C2×C4—44no—
1619C2×C4—42no—
1620C2×C4—41no—
1621C2×C4—48no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—434no—
1626C2×C4—431no—
1627C2×C4—431no—
1628C2×C4—431no—
1629C2×C4—434no—
1630C2×C4—434no—
1631C2×C4—434no—
1632C2×C4—434no—
1633C2×C4—434no—
1634C2×C4—862no—
1635C2×C4—862no—
1636C2×C4—868no—
1637C2×C4—862no—
1638C2×C4—864no—
1639C2×C4—862no—
1640C2×C4—862no—
1641C2×C4—862no—
1642C2×C4—862no—
1643C2×C4—862no—
1644C2×C4—862no—
1645C2×C4—1721no—
1646C2×C4—1721no—
1647C2×C4—1721no—
1648C2×C4—1721no—
1649C2×C4—1724no—
1650C2×C4—1721no—
1651C2×C4—1721no—
1652C2×C4—1722no—
1653C2×C4—1728no—
1654C2×C4—1724no—
1655C2×C4—1728no—
1656C2×C4—1728no—
1657C2×C4—1724no—
1658C2×C4#1306337214yes—
1659C2×C4C24×D4311yescharacteristic
1660C2×C4C24×D4314yes—
1661C2×C4C24×D4314yes—
1662C2×C4C24×D4314yes—
1663C2×C4C24×D4311yescharacteristic
1664C2×C4C24×D4311yescharacteristic
1665C2×C4C24×D4314yes—
1666C2×C4C24×D4311yescharacteristic
1667C2×C4C24×D4311yescharacteristic
1668C2×C4C24×D4311yescharacteristic
1669C22—21no—
1670C22—21no—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—24no—
1675C22—24no—
1676C22—24no—
1677C22—84no—
1678C22—432no—
1679C22—861no—
1680C22—861no—
1681C22—861no—
1682C22—861no—
1683C22—861no—
1684C22—1724no—
1685C22C2×#1306337212yes—
1686C22C25×D4311yescharacteristic
1687C4—24no—
1688C4—21no—
1689C4—21no—
1690C4—24no—
1691C4—21no—
1692C4—24no—
1693C4—24no—
1694C4—861no—
1695C4—861no—
1696C4—864no—
1697C4—861no—
1698C4—864no—
1699C4—861no—
1700C4—864no—
1701C4—864no—
1702C4—861no—
1703C4—861no—
1704C4—864no—
1705C4—864no—
1706C4C2×#1306337212yes—
1707C4C2×#1306337212yes—
1708C4#1458373412yes—
1709C2—22no—
1710C2—44no—
1711C2—44no—
1712C2—862no—
1713C2—1721no—
1714C2C22×#1306337211yescharacteristic
1715C2#585×D4311yescharacteristic
1716C2C2×#1458373411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3506C2
hypercenter#3506D43
hypocenterC43#62831
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3506

Complements

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

NH ≅ G/Ntype
1. #19149230C2semidirect
2. #19149221C2semidirect
3. #19149092C2semidirect
4. #19149071C2semidirect
5. #19149062C2semidirect
6. #19149033C2semidirect
7. #19148930C2semidirect
8. #19148793C2semidirect
9. #19148690C2semidirect
10. #19148675C2semidirect
11. #19148632C2semidirect
12. #19148611C2semidirect
13. #19148566C2semidirect
14. #19148564C2semidirect
15. #19148490C2semidirect
16. #19148457C2semidirect
17. #19148452C2semidirect
18. #19148417C2semidirect
19. #19148400C2semidirect
20. #19148398C2semidirect
21. #19148349C2semidirect
22. #19148348C2semidirect
23. #19148327C2semidirect
24. #19147890C2semidirect
25. #533×D43C2semidirect
26. C2×#14583431C2semidirect
27. C43×#3506C2semidirect
28. #14583652C22semidirect
29. #14583651C22semidirect
30. #14583649C22semidirect
31. #14583644C22semidirect
32. #14583635C22semidirect
33. #14583635C22semidirect
34. #14583635C22semidirect
35. Q8×Dic86C22semidirect
36. #14583629C22semidirect
37. #14583628C22semidirect
38. #14583627C22semidirect
39. #14583627C22semidirect
40. #14583626C22semidirect
41. #14583625C22semidirect
42. #14583624C22semidirect
43. #14583624C22semidirect
44. #14583619C22semidirect
45. #14583619C22semidirect
46. #14583618C22semidirect
47. #14583618C22semidirect
48. #14583618C22semidirect
49. #14583618C22semidirect
50. #14583617C22semidirect
51. #14583617C22semidirect
54. #14583608C22semidirect
55. #14583608C22semidirect
56. #14583608C22semidirect
58. #14583606C22semidirect
59. #14583606C22semidirect
60. #14583606C22semidirect
61. #14583606C22semidirect
62. #14583604C22semidirect
65. #14583591C22semidirect
67. #14583589C22semidirect
68. #14583589C22semidirect
69. #14583588C22semidirect
70. #14583588C22semidirect
71. #14583586C22semidirect
72. #14583586C22semidirect
73. #14583586C22semidirect
74. #14583585C22semidirect
75. #14583584C22semidirect
80. D4×Dic86C22semidirect
81. D4×Dic86C22semidirect
82. #14583562C22semidirect
83. #14583556C22semidirect
84. #14583555C22semidirect
86. #14583549C22semidirect
87. #14583549C22semidirect
88. #14583548C22semidirect
91. #14583530C22semidirect
94. #14583527C22semidirect
95. #14583527C22semidirect
98. #14583517C22semidirect
99. #14583516C22semidirect
100. #14583516C22semidirect
101. #14583516C22semidirect
102. #14583516C22semidirect
103. #14583516C22semidirect
104. #14583514C22semidirect
105. #14583513C22semidirect
106. #14583509C22semidirect
107. #14583509C22semidirect
108. #14583507C22semidirect
109. #14583506C22semidirect
110. #14583506C22semidirect
113. #14583494C22semidirect
114. #14583493C22semidirect
115. #14583492C22semidirect
116. #14583492C22semidirect
117. #14583491C22semidirect
119. #14583470C22semidirect
120. #14583469C22semidirect
123. #14583455C22semidirect
124. #14583454C22semidirect
125. #14583454C22semidirect
126. #14583454C22semidirect
127. #14583454C22semidirect
128. #14583453C22semidirect
129. #14583453C22semidirect
130. #14583453C22semidirect
132. #14583452C22semidirect
137. #14583447C22semidirect
138. #14583447C22semidirect
139. C4⋊Q8×D43C22semidirect
140. C4⋊Q8×D43C22semidirect
149. #14583431C22semidirect
150. #14583431C22semidirect
151. #14583431C22semidirect
155. #14583430C22semidirect
156. #14583430C22semidirect
158. #14583428C22semidirect
159. #14583428C22semidirect
162. C2×#13063316C22semidirect
163. #125×D43C22semidirect
175. #14583382C22semidirect
176. #14583378C22semidirect
178. #14583376C22semidirect
181. C4×#10621900C22semidirect
182. C4×#10621900C22semidirect
184. C4×Q8×D43C22semidirect
185. C4×Q8×D43C22semidirect
190. C43×#559C22semidirect
191. C43×#556C22semidirect
192. C43×#555C22semidirect
193. C43×#553C22semidirect
194. C43×#550C22semidirect
195. C43×#547C22semidirect
868. #3506D43semidirect
893. #559C2×D43semidirect
911. #556C2×D43semidirect
913. #555C2×D43semidirect
926. #553C2×D43semidirect
942. #550C2×D43semidirect
952. #547C2×D43semidirect
1061. C43#62831semidirect

Maximal subgroups

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

subgroupindex
#191492302
#191492212
#191490922
#191490712
#191490622
#191490332
#191489302
#191487932
#191486902
#191486752
#191486322
#191486112
#191485662
#191485642
#191484902
#191484572
#191484522
#191484172
#191484002
#191483982
#191483492
#191483482
#191483272
#191478902
#533×D432
C2×#145834312
C43×#35062
#6283143