Finite Group Databasebeta

← #3516×D67 #31764016

Subgroups — #3516×D67 #31764016

Order 17152.

7130 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574205C211yesmaximal, characteristic, complemented
2#22574204C211yesmaximal, characteristic, complemented
3#22574203C211yesmaximal, characteristic, complemented
4#22574202C211yesmaximal, characteristic, complemented
5#22574201C213yesmaximal, complemented
6#22574200C213yesmaximal, complemented
7#22574199C213yesmaximal, complemented
8#22574198C213yesmaximal, complemented
9#22574197C213yesmaximal, complemented
10#22574196C213yesmaximal, complemented
11#22574195C211yesmaximal, characteristic, complemented
12#22574194C211yesmaximal, characteristic, complemented
13#22574193C213yesmaximal, complemented
14#22574192C213yesmaximal, complemented
15#22574191C211yesmaximal, characteristic, complemented
16#557×D67C211yesmaximal, characteristic, complemented
17#556×D67C213yesmaximal, complemented
18#554×D67C213yesmaximal, complemented
19#553×D67C213yesmaximal, complemented
20#552×D67C213yesmaximal, complemented
21D4×Q8×D67C211yesmaximal, characteristic, complemented
22#548×D67C211yesmaximal, characteristic, complemented
23#548×D67C211yesmaximal, characteristic, complemented
24#542×D67C213yesmaximal, complemented
25#541×D67C213yesmaximal, complemented
26#529×D67C213yesmaximal, complemented
27#529×D67C213yesmaximal, complemented
28#520×D67C211yesmaximal, characteristic, complemented
29#519×D67C211yesmaximal, characteristic, complemented
30C2×C4×Q8×D67C211yesmaximal, characteristic, complemented
31C67×#3516C211yesmaximal, characteristic, complemented
32C2×#41×D67C2211yescharacteristic
33C22×Q8×D67C2211yescharacteristic
34C22×Q8×D67C2211yescharacteristic
35#16864125C2211yescharacteristic, complemented
36#16864124C2213yescomplemented
37#16864123C2213yescomplemented
38#16864123C2213yescomplemented
39#16864122C2211yescharacteristic, complemented
40#16864122C2211yescharacteristic, complemented
41#16864121C2213yescomplemented
42#16864120C2213yescomplemented
43#16864119C2213yescomplemented
44#16864118C2213yescomplemented
45#16864118C2213yescomplemented
46#16864117C2216yescomplemented
47#16864116C2213yescomplemented
48#16864115C2213yescomplemented
49#16864115C2213yescomplemented
50#16864114C2216yescomplemented
51#16864113C2216yescomplemented
52#16864113C2216yescomplemented
53#16864107C2213yescomplemented
54#16864106C2213yescomplemented
55#16864105C2216yescomplemented
56#16864104C2213yescomplemented
57#16864104C2213yescomplemented
58#16864103C2213yescomplemented
59#16864102C2216yescomplemented
60#16864101C2213yescomplemented
61#16864101C2213yescomplemented
62#16864100C2216yescomplemented
63#16864100C2216yescomplemented
64#16864099C2213yescomplemented
65#16864098C2213yescomplemented
66#16864097C2216yescomplemented
67#16864096C2213yescomplemented
68#16864095C2216yescomplemented
69#16864094C2213yescomplemented
70#16864093C2213yescomplemented
71#16864092C2213yescomplemented
72#16864091C2216yescomplemented
73#16864090C2213yescomplemented
74#16864089C2216yescomplemented
75#16864088C2213yescomplemented
76#16864087C2213yescomplemented
77#16864086C2213yescomplemented
78#16864085C2213yescomplemented
79#16864084C2213yescomplemented
80#16864083C2216yescomplemented
81#16864082C2216yescomplemented
82#16864081C2213yescomplemented
83#16864080C2213yescomplemented
84#16864079C2216yescomplemented
85#16864078C2216yescomplemented
86Q8×D268C2211yescharacteristic, complemented
87D4×Dic134C2213yescomplemented
88#16864061C2213yescomplemented
89Q8×C22⋊D67C2211yescharacteristic, complemented
90Q8×C22⋊D67C2211yescharacteristic, complemented
91#16864059C2213yescomplemented
92#16864059C2213yescomplemented
93#16864058C2211yescharacteristic, complemented
94#16864058C2211yescharacteristic, complemented
95#16864057C2211yescharacteristic, complemented
96#16864057C2211yescharacteristic, complemented
97#16864056C2213yescomplemented
98#16864056C2213yescomplemented
99#16864055C2213yescomplemented
100#16864055C2213yescomplemented
101#16864054C2213yescomplemented
102#16864054C2213yescomplemented
103#16864053C2211yescharacteristic, complemented
104#16864053C2211yescharacteristic, complemented
105#16864052C2213yescomplemented
106#16864052C2213yescomplemented
107#16864020C2213yescomplemented
108#16864019C2213yescomplemented
109#16864018C2213yescomplemented
110#16864017C2213yescomplemented
111#16864016C2216yescomplemented
112#16864015C2213yescomplemented
113#16864014C2216yescomplemented
114#16864013C2213yescomplemented
115#16864012C2216yescomplemented
116#16864011C2213yescomplemented
117#16864010C2216yescomplemented
118#16864009C2213yescomplemented
119#16864008C2213yescomplemented
120#16864007C2213yescomplemented
121#16864006C2213yescomplemented
122#16864006C2213yescomplemented
123#16864005C2216yescomplemented
124#16864005C2216yescomplemented
125#16864004C2213yescomplemented
126#16864004C2213yescomplemented
127#16864003C2216yescomplemented
128#16864003C2216yescomplemented
129C4⋊Q8×D67C2213yes—
130C4⋊Q8×D67C2213yes—
131#16863933C2213yescomplemented
132#16863933C2213yescomplemented
133#16863932C2213yescomplemented
134#16863932C2213yescomplemented
135#16863931C2213yescomplemented
136#16863931C2213yescomplemented
137#16863930C2213yescomplemented
138#16863930C2213yescomplemented
139#16863929C2216yescomplemented
140#16863929C2213yescomplemented
141#16863929C2213yescomplemented
142#16863928C2213yescomplemented
143#16863928C2213yescomplemented
144#16863927C2213yescomplemented
145#16863927C2213yescomplemented
146#16863926C2213yescomplemented
147#16863926C2216yescomplemented
148#16863926C2213yescomplemented
149#16863925C2213yescomplemented
150#16863925C2213yescomplemented
151#16863924C2213yescomplemented
152#16863924C2213yescomplemented
153#16863924C2216yescomplemented
154#16863923C2213yescomplemented
155#16863923C2216yescomplemented
156#16863923C2213yescomplemented
157#126×D67C2216yes—
158#126×D67C2216yes—
159#126×D67C2213yes—
160#126×D67C2213yes—
161#125×D67C2213yes—
162#125×D67C2216yes—
163#125×D67C2213yes—
164#125×D67C2213yes—
165#124×D67C2213yes—
166#124×D67C2213yes—
167#124×D67C2213yes—
168#123×D67C2216yes—
169#123×D67C2211yescharacteristic
170#123×D67C2213yes—
171C22⋊Q8×D67C2213yes—
172C22⋊Q8×D67C2213yes—
173C22⋊Q8×D67C2213yes—
174C22⋊Q8×D67C2216yes—
175C22⋊Q8×D67C2213yes—
176C22⋊Q8×D67C2213yes—
177#121×D67C2213yes—
178#121×D67C2213yes—
179#121×D67C2213yes—
180#16863879C2211yescharacteristic, complemented
181#16863878C2211yescharacteristic, complemented
182#16863878C2211yescharacteristic, complemented
183#16863877C2213yescomplemented
184#16863876C2213yescomplemented
185#16863875C2213yescomplemented
186#16863875C2213yescomplemented
187#16863874C2211yescharacteristic, complemented
188#16863873C2213yescomplemented
189#16863873C2213yescomplemented
190#16863872C2211yescharacteristic, complemented
191#16863872C2213yescomplemented
192#16863872C2211yescharacteristic, complemented
193#16863872C2213yescomplemented
194C2×Q8×Dic67C2211yescharacteristic, complemented
195C2×C4×Dic134C2213yescomplemented
196C2×#14524008C2213yescomplemented
197C4×Q8×D67C2213yes—
198C4×Q8×D67C2213yes—
199C4×Q8×D67C2211yescharacteristic
200C4×Q8×D67C2211yescharacteristic
201C4×Q8×D67C2213yes—
202C4×Q8×D67C2211yescharacteristic
203C4×Q8×D67C2213yes—
204C4×Q8×D67C2211yescharacteristic
205C4×Q8×D67C2213yes—
206C4×Q8×D67C2211yescharacteristic, complemented
207C4×Q8×D67C2211yescharacteristic, complemented
208C4×Q8×D67C2213yescomplemented
209C4×Q8×D67C2213yescomplemented
210C4×D4×D67C2213yes—
211C4×D4×D67C2213yes—
212C4×D4×D67C2213yes—
213C4×D4×D67C2213yes—
214C4×D4×D67C2213yes—
215C4×D4×D67C2216yes—
216#117×D67C2213yes—
217#117×D67C2213yes—
218#117×D67C2213yes—
219#117×D67C2216yes—
220C2×C4⋊C4×D67C2213yes—
221C2×C4⋊C4×D67C2213yes—
222C2×C42×D67C2213yes—
223#557×C67C2211yescharacteristic, complemented
224#556×C67C2213yescomplemented
225#554×C67C2213yescomplemented
226#553×C67C2213yescomplemented
227#552×C67C2213yescomplemented
228D4×Q8×C67C2211yescharacteristic, complemented
229#548×C67C2211yescharacteristic, complemented
230#548×C67C2211yescharacteristic, complemented
231#542×C67C2213yescomplemented
232#541×C67C2213yescomplemented
233#529×C67C2213yescomplemented
234#529×C67C2213yescomplemented
235#520×C67C2211yescharacteristic, complemented
236#519×C67C2211yescharacteristic, complemented
237C2×C4×Q8×C67C2211yescharacteristic, complemented
238C2×#11761629C2311yescharacteristic
239C2×#11761628C2313yes—
240C2×#11761627C2313yes—
241#41×D67—28no—
242C22×Dic134C2313yes—
243C22×Dic134C2313yes—
244C2×Q8×D67—28no—
245C2×Q8×D67—28no—
246C2×Q8×D67C2311yescharacteristic
247C2×Q8×D67C2311yescharacteristic
248C2×Q8×D67C2313yes—
249C2×Q8×D67C2313yes—
250C2×Q8×D67C2313yes—
251C2×Q8×D67C2313yes—
252C2×Q8×D67C2313yes—
253C2×Q8×D67C2311yescharacteristic
254C2×D4×D67C2313yes—
255C2×D4×D67C2311yescharacteristic
256C2×D4×D67C2313yes—
257C2×D4×D67C2313yes—
258C22×C4×D67C2311yescharacteristic
259C22×C4×D67C2313yes—
260C22×C4×D67C2313yes—
261C22×C4×D67C2313yes—
262C22×C4×D67C2313yes—
263C22×C4×D67C2316yes—
264#14524043C2313yes—
265#14524043C2313yes—
266#14524042C2316yes—
267#14524042C2316yes—
268#14524042C2313yes—
269#14524042C2316yes—
270#14524042C2313yes—
271#14524041C2313yes—
272#14524041C2313yes—
273#14524041C2316yes—
274#14524038C2316yes—
275#14524038C2316yes—
276#14524038C2316yes—
277#14524038C2316yes—
278#14524038C2316yes—
279#14524038C2316yes—
280#14524038C2313yes—
281#14524038C2313yes—
282#14524038C2313yes—
283#14524038C2313yes—
284#14524038C2313yes—
285#14524038C2313yes—
286#14524037C2316yes—
287#14524037C2316yes—
288#14524037C2313yes—
289#14524037C2313yes—
290#14524036C2316yes—
291#14524036C2316yes—
292#14524036C2316yes—
293#14524036C2316yes—
294#14524036C2316yes—
295#14524036C2316yes—
296#14524036C2313yes—
297#14524036C2313yes—
298#14524036C2313yes—
299#14524036C2313yes—
300#14524036C2313yes—
301#14524036C2313yes—
302#14524035C2313yes—
303#14524035C2316yes—
304#14524035C2313yes—
305#14524035C2313yes—
306#14524034C2313yes—
307#14524034C2316yes—
308#14524034C2313yes—
309#14524034C2313yes—
310#14524034C2313yes—
311#14524034C2316yes—
312#14524034C2313yes—
313#14524034C2313yes—
314#14524033C2313yes—
315#14524033C2313yes—
316#14524033C2316yes—
317#14524033C2316yes—
318#14524033C2316yes—
319#14524033C2316yes—
320#14524033C2313yes—
321#14524033C2313yes—
322#14524033C2316yes—
323#14524033C2316yes—
324#14524033C2316yes—
325#14524033C2316yes—
326#14524032C2313yes—
327#14524032C2313yes—
328#14524032C2313yes—
329#14524031C2313yes—
330#14524031C2313yes—
331#14524031C2313yes—
332#14524030C2313yes—
333#14524030C2313yes—
334#14524030C2313yes—
335#14524029C2313yes—
336#14524029C2316yes—
337#14524029C2313yes—
338#14524029C2316yes—
339#14524029C2313yes—
340#14524029C2313yes—
341#14524029C2316yes—
342#14524029C2316yes—
343#14524028C2316yes—
344#14524028C2316yes—
345#14524028C2311yescharacteristic
346#14524028C2313yes—
347#14524028C2313yes—
348#14524028C2311yescharacteristic
349#14524027C2316yes—
350#14524027C2311yescharacteristic
351#14524027C2313yes—
352#14524026C2316yes—
353#14524026C2311yescharacteristic
354#14524026C2313yes—
355#14524025C2316yes—
356#14524025C2316yes—
357#14524025C2311yescharacteristic
358#14524025C2313yes—
359#14524025C2313yes—
360#14524025C2311yescharacteristic
361#14524024C2316yes—
362#14524024C2311yescharacteristic
363#14524024C2313yes—
364#14524023C2313yes—
365#14524023C2313yes—
366#14524023C2313yes—
367#14524023C2316yes—
368#14524023C2313yes—
369#14524023C2313yes—
370#14524022C2313yes—
371#14524022C2313yes—
372#14524022C2316yes—
373#14524022C2313yes—
374#14524022C2313yes—
375#14524022C2313yes—
376#14524021C2316yes—
377#14524021C2316yes—
378#14524021C2316yes—
379#14524021C2316yes—
380#14524021C2316yes—
381#14524021C2316yes—
382#14524021C2313yes—
383#14524021C2313yes—
384#14524020C2316yes—
385#14524020C2316yes—
386#14524020C2316yes—
387#14524020C2316yes—
388#14524020C2316yes—
389#14524020C2316yes—
390#14524020C2313yes—
391#14524020C2313yes—
392#14524019C2313yes—
393#14524019C2313yes—
394#14524019C2316yes—
395#14524019C2313yes—
396#14524019C2313yes—
397#14524019C2313yes—
398#14524018C2313yes—
399#14524018C2313yes—
400#14524018C2313yes—
401#14524017C2313yes—
402#14524017C2313yes—
403#14524017C2313yes—
404#14524016C2316yes—
405#14524016C2316yes—
406#14524016C2313yes—
407#14524016C2313yes—
408#14524015C2316yes—
409#14524015C2316yes—
410#14524015C2313yes—
411#14524015C2313yes—
412#14524014C2313yes—
413#14524014C2313yes—
414#14524014C2313yes—
415Q8×Dic67C2313yes—
416Q8×Dic67C2313yes—
417Q8×Dic67C2311yescharacteristic
418Q8×Dic67C2311yescharacteristic
419Q8×Dic67C2311yescharacteristic
420Q8×Dic67C2313yes—
421Q8×Dic67C2313yes—
422Q8×Dic67C2311yescharacteristic
423Q8×Dic67C2313yes—
424C4×Dic134C2316yes—
425C4×Dic134C2316yes—
426C4×Dic134C2313yes—
427C4×Dic134C2313yes—
428C4×Dic134C2313yes—
429C4×Dic134C2313yes—
430C4×Dic134C2313yes—
431C4×Dic134C2316yes—
432C4×Dic134C2313yes—
433C4×Dic134C2316yes—
434C4×Dic134C2313yes—
435C4×Dic134C2313yes—
436C4×Dic134C2313yes—
437C4×Dic134C2313yes—
438C4×Dic134C2313yes—
439#14524008C2316yes—
440#14524008C2316yes—
441#14524008C2313yes—
442#14524008C2313yes—
443#14524008C2313yes—
444#14524008C2313yes—
445#14524008C2313yes—
446#14524008C2316yes—
447#14524008C2313yes—
448#14524008C2316yes—
449#14524008C2313yes—
450#14524008C2313yes—
451#14524008C2313yes—
452#14524008C2313yes—
453#14524008C2313yes—
454C4×D268C2313yes—
455C4×D268C2313yes—
456C4×D268C2313yes—
457C4×D268C2313yes—
458C4×D268C2316yes—
459C4×D268C2313yes—
460D4×Dic67C2313yes—
461D4×Dic67C2313yes—
462D4×Dic67C2313yes—
463D4×Dic67C2313yes—
464D4×Dic67C2316yes—
465D4×Dic67C2313yes—
466#14524005C2313yes—
467#14524005C2313yes—
468#14524005C2313yes—
469#14524005C2313yes—
470#14524005C2313yes—
471#14524005C2316yes—
472C4×C22⋊D67C2316yes—
473C4×C22⋊D67C2313yes—
474C4×C22⋊D67C2313yes—
475C4×C22⋊D67C2313yes—
476C4×C22⋊D67C2313yes—
477C4×C22⋊D67C2313yes—
478C4×C22⋊D67C2313yes—
479C4×C22⋊D67C2316yes—
480C4×C22⋊D67C2316yes—
481C4×C22⋊D67C2316yes—
482(C22⋊D67)⋊C4C2316yes—
483(C22⋊D67)⋊C4C2313yes—
484(C22⋊D67)⋊C4C2313yes—
485(C22⋊D67)⋊C4C2313yes—
486(C22⋊D67)⋊C4C2313yes—
487(C22⋊D67)⋊C4C2313yes—
488(C22⋊D67)⋊C4C2313yes—
489(C22⋊D67)⋊C4C2316yes—
490(C22⋊D67)⋊C4C2316yes—
491(C22⋊D67)⋊C4C2316yes—
492#14524002C2313yes—
493#14524002C2313yes—
494#14524002C2313yes—
495#14524002C2316yes—
496#14524001C2313yes—
497#14524001C2313yes—
498#14524001C2313yes—
499#14524001C2313yes—
500#14524001C2316yes—
501#14524001C2313yes—
502#14524001C2316yes—
503#14524001C2313yes—
504#14524000C2313yes—
505#14524000C2313yes—
506#14524000C2313yes—
507#14524000C2313yes—
508#14524000C2316yes—
509#14524000C2316yes—
510#14524000C2316yes—
511#14523999C2313yes—
512#14523999C2313yes—
513#14523999C2313yes—
514#14523999C2313yes—
515#14523999C2316yes—
516#14523999C2316yes—
517#14523999C2316yes—
518C2×C4⋊Dic67C2313yes—
519C2×C4⋊Dic67C2313yes—
520C2×Dic67⋊C4C2316yes—
521C2×Dic67⋊C4C2316yes—
522C4⋊C4×D67C2316yes—
523C4⋊C4×D67C2313yes—
524C4⋊C4×D67C2313yes—
525C4⋊C4×D67C2313yes—
526C4⋊C4×D67C2316yes—
527C4⋊C4×D67C2313yes—
528C4⋊C4×D67C2313yes—
529C4⋊C4×D67C2313yes—
530C4⋊C4×D67C2313yes—
531C4⋊C4×D67C2313yes—
532C4⋊C4×D67C2316yes—
533C4⋊C4×D67C2311yescharacteristic
534C4⋊C4×D67C2313yes—
535C4⋊C4×D67C2313yes—
536C4⋊C4×D67C2313yes—
537C4⋊C4×D67C2313yes—
538C4⋊C4×D67C2316yes—
539C4⋊C4×D67C2313yes—
540C4⋊C4×D67C2313yes—
541C4⋊C4×D67C2316yes—
542C4⋊C4×D67C2313yes—
543C4⋊C4×D67C2311yescharacteristic
544C4⋊C4×D67C2313yes—
545C22⋊C4×D67C2313yes—
546C22⋊C4×D67C2311yescharacteristic
547C22⋊C4×D67C2313yes—
548C22⋊C4×D67C2313yes—
549C22⋊C4×D67C2313yes—
550C22⋊C4×D67C2316yes—
551C22⋊C4×D67C2311yescharacteristic
552C22⋊C4×D67C2313yes—
553C22⋊C4×D67C2311yescharacteristic
554C22⋊C4×D67C2316yes—
555C22⋊C4×D67C2313yes—
556C22⋊C4×D67C2313yes—
557C2×C4×Dic67C2313yes—
558C2×C4×Dic67C2313yes—
559C2×C4×Dic67C2313yes—
560C42×D67C2313yes—
561C42×D67C2313yes—
562C42×D67C2313yes—
563C42×D67C2313yes—
564C42×D67C2313yes—
565C42×D67C2313yes—
566C42×D67C2313yes—
567C42×D67C2313yes—
568C42×D67C2316yes—
569C42×D67C2313yes—
570C42×D67C2313yes—
571C2×#41×C67C2311yescharacteristic
572C22×Q8×C67C2311yescharacteristic
573C22×Q8×C67C2311yescharacteristic
574C4⋊Q8×C67C2313yes—
575C4⋊Q8×C67C2313yes—
576#126×C67C2316yes—
577#126×C67C2316yes—
578#126×C67C2313yes—
579#126×C67C2313yes—
580#125×C67C2313yes—
581#125×C67C2316yes—
582#125×C67C2313yes—
583#125×C67C2313yes—
584#124×C67C2313yes—
585#124×C67C2313yes—
586#124×C67C2313yes—
587#123×C67C2316yes—
588#123×C67C2311yescharacteristic
589#123×C67C2313yes—
590C22⋊Q8×C67C2313yes—
591C22⋊Q8×C67C2313yes—
592C22⋊Q8×C67C2316yes—
593C22⋊Q8×C67C2313yes—
594C22⋊Q8×C67C2313yes—
595C22⋊Q8×C67C2313yes—
596#121×C67C2313yes—
597#121×C67C2313yes—
598#121×C67C2313yes—
599C4×Q8×C67C2313yes—
600C4×Q8×C67C2313yes—
601C4×Q8×C67C2311yescharacteristic
602C4×Q8×C67C2311yescharacteristic
603C4×Q8×C67C2311yescharacteristic
604C4×Q8×C67C2311yescharacteristic
605C4×Q8×C67C2313yes—
606C4×Q8×C67C2313yes—
607C4×Q8×C67C2313yes—
608C4×D4×C67C2313yes—
609C4×D4×C67C2313yes—
610C4×D4×C67C2313yes—
611C4×D4×C67C2313yes—
612C4×D4×C67C2313yes—
613C4×D4×C67C2316yes—
614#117×C67C2313yes—
615#117×C67C2313yes—
616#117×C67C2313yes—
617#117×C67C2316yes—
618C2×C4⋊C4×C67C2313yes—
619C2×C4⋊C4×C67C2313yes—
620C2×C42×C67C2313yes—
621C23×D67C2411yescharacteristic
622C23×D67C2413yes—
623C23×D67C2411yescharacteristic
624#11761629—24no—
625#11761628—212no—
626#11761627—212no—
627C2×Dic134—212no—
628C2×Dic134—212no—
629C2×Dic134C2416yes—
630C2×Dic134C2416yes—
631C2×Dic134C2413yes—
632C2×Dic134C2413yes—
633C2×Dic134C2413yes—
634C2×Dic134C2413yes—
635C2×Dic134C2413yes—
636C2×Dic134C2413yes—
637Q8×D67—24no—
638Q8×D67—24no—
639Q8×D67—212no—
640Q8×D67—212no—
641Q8×D67—212no—
642Q8×D67—212no—
643Q8×D67—46no—
644Q8×D67#4118yes—
645C2×D268C2413yes—
646C2×D268C2411yescharacteristic
647C2×D268C2413yes—
648C2×D268C2413yes—
649C2×C22⋊D67C2413yes—
650C2×C22⋊D67C2411yescharacteristic
651C2×C22⋊D67C2413yes—
652C2×C22⋊D67C2411yescharacteristic
653C2×C22⋊D67C2416yes—
654C2×C22⋊D67C2413yes—
655C2×C22⋊D67C2413yes—
656D4×D67—212no—
657D4×D67—24no—
658D4×D67—212no—
659D4×D67—46no—
660C22×Dic67C2411yescharacteristic
661C22×Dic67C2413yes—
662C22×Dic67C2413yes—
663C22×Dic67C2413yes—
664C22×Dic67C2413yes—
665C22×Dic67C2416yes—
666C2×C4×D67—24no—
667C2×C4×D67—212no—
668C2×C4×D67—212no—
669C2×C4×D67—212no—
670C2×C4×D67—412no—
671C2×C4×D67—46no—
672C2×C4×D67C2411yescharacteristic
673C2×C4×D67C2411yescharacteristic
674C2×C4×D67C2411yescharacteristic
675C2×C4×D67C2411yescharacteristic
676C2×C4×D67C2413yes—
677C2×C4×D67C2411yescharacteristic
678C2×C4×D67C2413yes—
679C2×C4×D67C2411yescharacteristic
680C2×C4×D67C2413yes—
681C2×C4×D67C2413yes—
682C2×C4×D67C2413yes—
683C2×C4×D67C2413yes—
684C2×C4×D67C2413yes—
685C2×C4×D67C2413yes—
686C2×C4×D67C2411yescharacteristic
687C2×C4×D67C2413yes—
688C2×C4×D67C2413yes—
689C2×C4×D67C2413yes—
690C2×C4×D67C2413yes—
691C2×C4×D67C2413yes—
692C2×C4×D67C2413yes—
693C2×C4×D67C2416yes—
694C2×C4×D67C2416yes—
695C2×C4×D67C2413yes—
696C4⋊Dic67C2413yes—
697C4⋊Dic67C2413yes—
698C4⋊Dic67C2413yes—
699C4⋊Dic67C2413yes—
700C4⋊Dic67C2416yes—
701C4⋊Dic67C2411yescharacteristic
702C4⋊Dic67C2413yes—
703C4⋊Dic67C2413yes—
704C4⋊Dic67C2413yes—
705C4⋊Dic67C2413yes—
706C4⋊Dic67C2416yes—
707C4⋊Dic67C2413yes—
708C4⋊Dic67C2413yes—
709C4⋊Dic67C2416yes—
710C4⋊Dic67C2413yes—
711C4⋊Dic67C2411yescharacteristic
712C4⋊Dic67C2413yes—
713Dic67⋊C4C2416yes—
714Dic67⋊C4C2413yes—
715Dic67⋊C4C2413yes—
716Dic67⋊C4C2416yes—
717Dic67⋊C4C2416yes—
718Dic67⋊C4C2416yes—
719Dic67⋊C4C2416yes—
720Dic67⋊C4C2411yescharacteristic
721Dic67⋊C4C2411yescharacteristic
722Dic67⋊C4C2413yes—
723Dic67⋊C4C2413yes—
724Dic67⋊C4C2416yes—
725Dic67⋊C4C2413yes—
726Dic67⋊C4C2413yes—
727Dic67⋊C4C2413yes—
728Dic67⋊C4C2413yes—
729Dic67⋊C4C2416yes—
730Dic67⋊C4C2416yes—
731Dic67⋊C4C2413yes—
732Dic67⋊C4C2413yes—
733Dic67⋊C4C2413yes—
734Dic67⋊C4C2413yes—
735Dic67⋊C4C2416yes—
736Dic67⋊C4C2416yes—
737Dic67⋊C4C2413yes—
738Dic67⋊C4C2413yes—
739Dic67⋊C4C2411yescharacteristic
740Dic67⋊C4C2411yescharacteristic
741Dic67⋊C4C2413yes—
742Dic67⋊C4C2413yes—
743C22⋊Dic67C2413yes—
744C22⋊Dic67C2411yescharacteristic
745C22⋊Dic67C2413yes—
746C22⋊Dic67C2413yes—
747C22⋊Dic67C2413yes—
748C22⋊Dic67C2416yes—
749C22⋊Dic67C2411yescharacteristic
750C22⋊Dic67C2413yes—
751C22⋊Dic67C2411yescharacteristic
752C22⋊Dic67C2416yes—
753C22⋊Dic67C2413yes—
754C22⋊Dic67C2413yes—
755(C2×D67)⋊C4C2413yes—
756(C2×D67)⋊C4C2413yes—
757(C2×D67)⋊C4C2411yescharacteristic
758(C2×D67)⋊C4C2411yescharacteristic
759(C2×D67)⋊C4C2413yes—
760(C2×D67)⋊C4C2413yes—
761(C2×D67)⋊C4C2413yes—
762(C2×D67)⋊C4C2413yes—
763(C2×D67)⋊C4C2413yes—
764(C2×D67)⋊C4C2413yes—
765(C2×D67)⋊C4C2416yes—
766(C2×D67)⋊C4C2416yes—
767(C2×D67)⋊C4C2411yescharacteristic
768(C2×D67)⋊C4C2411yescharacteristic
769(C2×D67)⋊C4C2413yes—
770(C2×D67)⋊C4C2413yes—
771(C2×D67)⋊C4C2416yes—
772(C2×D67)⋊C4C2413yes—
773(C2×D67)⋊C4C2413yes—
774(C2×D67)⋊C4C2411yescharacteristic
775(C2×D67)⋊C4C2411yescharacteristic
776(C2×D67)⋊C4C2416yes—
777(C2×D67)⋊C4C2413yes—
778(C2×D67)⋊C4C2413yes—
779C4×Dic67C2413yes—
780C4×Dic67C2413yes—
781C4×Dic67C2413yes—
782C4×Dic67C2413yes—
783C4×Dic67C2413yes—
784C4×Dic67C2413yes—
785C4×Dic67C2413yes—
786C4×Dic67C2413yes—
787C4×Dic67C2413yes—
788C4×Dic67C2413yes—
789C4×Dic67C2413yes—
790C4×Dic67C2413yes—
791C4×Dic67C2416yes—
792C4×Dic67C2416yes—
793C4×Dic67C2416yes—
794C4×Dic67C2413yes—
795C4×Dic67C2413yes—
796C4×Dic67C2413yes—
797C4×Dic67C2413yes—
798C4×Dic67C2413yes—
799C4×Dic67C2413yes—
800#41×C67—24no—
801C2×Q8×C67—24no—
802C2×Q8×C67—24no—
803C2×Q8×C67C2413yes—
804C2×Q8×C67C2413yes—
805C2×Q8×C67C2413yes—
806C2×Q8×C67C2411yescharacteristic
807C2×D4×C67C2413yes—
808C2×D4×C67C2411yescharacteristic
809C2×D4×C67C2413yes—
810C2×D4×C67C2413yes—
811C22×C4×C67C2411yescharacteristic
812C22×C4×C67C2413yes—
813C22×C4×C67C2413yes—
814C22×C4×C67C2413yes—
815C22×C4×C67C2413yes—
816C22×C4×C67C2416yes—
817C4⋊C4×C67C2413yes—
818C4⋊C4×C67C2413yes—
819C4⋊C4×C67C2413yes—
820C4⋊C4×C67C2413yes—
821C4⋊C4×C67C2416yes—
822C4⋊C4×C67C2411yescharacteristic
823C4⋊C4×C67C2413yes—
824C4⋊C4×C67C2413yes—
825C4⋊C4×C67C2413yes—
826C4⋊C4×C67C2413yes—
827C4⋊C4×C67C2416yes—
828C4⋊C4×C67C2413yes—
829C4⋊C4×C67C2413yes—
830C4⋊C4×C67C2416yes—
831C4⋊C4×C67C2413yes—
832C4⋊C4×C67C2411yescharacteristic
833C4⋊C4×C67C2413yes—
834C22⋊C4×C67C2413yes—
835C22⋊C4×C67C2411yescharacteristic
836C22⋊C4×C67C2413yes—
837C22⋊C4×C67C2413yes—
838C22⋊C4×C67C2413yes—
839C22⋊C4×C67C2416yes—
840C22⋊C4×C67C2411yescharacteristic
841C22⋊C4×C67C2413yes—
842C22⋊C4×C67C2411yescharacteristic
843C22⋊C4×C67C2416yes—
844C22⋊C4×C67C2413yes—
845C22⋊C4×C67C2413yes—
846C42×C67C2413yes—
847C42×C67C2413yes—
848C42×C67C2413yes—
849C42×C67C2413yes—
850C42×C67C2416yes—
851C42×C67C2413yes—
852C42×C67C2413yes—
853C23×C67C2511yescharacteristic
854C23×C67C2513yes—
855C23×C67C2511yescharacteristic
856C22×D67—22no—
857C22×D67—22no—
858C22×D67—22no—
859C22×D67—26no—
860C22×D67—22no—
861C22×D67—26no—
862C22×D67—26no—
863C22×D67—22no—
864C22×D672−1+414yes—
865C22×D67C2511yescharacteristic
866C22×D67C2513yes—
867C22×D67C2511yescharacteristic
868C22×D67C2511yescharacteristic
869Q8×C67—26no—
870Q8×C67—26no—
871Q8×C67—43no—
872Q8×C67C2×#4114yes—
873D4×C67—26no—
874D4×C67—22no—
875D4×C67—26no—
876D4×C67—43no—
877C2×C4×C67—22no—
878C2×C4×C67—26no—
879C2×C4×C67—26no—
880C2×C4×C67—26no—
881C2×C4×C67—46no—
882C2×C4×C67—43no—
883C2×C4×C67C2511yescharacteristic
884C2×C4×C67C2511yescharacteristic
885C2×C4×C67C2513yes—
886C2×C4×C67C2511yescharacteristic
887C2×C4×C67C2513yes—
888C2×C4×C67C2511yescharacteristic
889C2×C4×C67C2513yes—
890C2×C4×C67C2513yes—
891C2×C4×C67C2513yes—
892C2×C4×C67C2513yes—
893C2×C4×C67C2511yescharacteristic
894C2×C4×C67C2513yes—
895C22⋊D67—26no—
896C22⋊D67—22no—
897C22⋊D67—26no—
898C22⋊D67—22no—
899C22⋊D67—212no—
900C22⋊D67—43no—
901C22⋊D67—43no—
902C2×Dic67—22no—
903C2×Dic67—26no—
904C2×Dic67—26no—
905C2×Dic67—26no—
906C2×Dic67—46no—
907C2×Dic67—43no—
908C2×Dic67C2511yescharacteristic
909C2×Dic67C2511yescharacteristic
910C2×Dic67C2513yes—
911C2×Dic67C2511yescharacteristic
912C2×Dic67C2513yes—
913C2×Dic67C2511yescharacteristic
914C2×Dic67C2513yes—
915C2×Dic67C2513yes—
916C2×Dic67C2513yes—
917C2×Dic67C2513yes—
918C2×Dic67C2511yescharacteristic
919C2×Dic67C2513yes—
920D268—26no—
921D268—22no—
922D268—26no—
923D268—43no—
924C4×D67—22no—
925C4×D67—26no—
926C4×D67—26no—
927C4×D67—22no—
928C4×D67—22no—
929C4×D67—22no—
930C4×D67—22no—
931C4×D67—26no—
932C4×D67—22no—
933C4×D67—26no—
934C4×D67—26no—
935C4×D67—26no—
936C4×D67—22no—
937C4×D67—26no—
938C4×D67—26no—
939C4×D67—26no—
940C4×D67—26no—
941C4×D67—26no—
942C4×D67—26no—
943C4×D67—46no—
944C4×D67—43no—
945C4×D67—46no—
946C4×D67—43no—
947C4×D67C2×#41112yes—
948Dic134—26no—
949Dic134—26no—
950Dic134—212no—
951Dic134—212no—
952Dic134—43no—
953Dic134—43no—
954Dic134—43no—
955Dic134C2×#41112yes—
956C22×C67—21no—
957C22×C67—21no—
958C22×C67—21no—
959C22×C67—23no—
960C22×C67—21no—
961C22×C67—23no—
962C22×C67—23no—
963C22×C67—21no—
964C22×C67C2×2−1+412yes—
965C22×C67C2611yescharacteristic
966C2×D67—21no—
967C2×D67—21no—
968C2×D67—28no—
969C2×D67—21no—
970C2×D67—23no—
971C2×D67—21no—
972C2×D67—23no—
973C2×D67—23no—
974C2×D67—21no—
975C2×D67—44no—
976C2×D67—412no—
977C2×D67C22×#4112yes—
978C2×D67C2×2−1+412yes—
979C2×D67C2×2−1+412yes—
980C2×D67#58512yes—
981C4×C67—23no—
982C4×C67—23no—
983C4×C67—21no—
984C4×C67—21no—
985C4×C67—21no—
986C4×C67—23no—
987C4×C67—21no—
988C4×C67—21no—
989C4×C67—23no—
990C4×C67—23no—
991C4×C67—23no—
992C4×C67C22×#4116yes—
993Dic67—23no—
994Dic67—23no—
995Dic67—21no—
996Dic67—21no—
997Dic67—21no—
998Dic67—23no—
999Dic67—21no—
1000Dic67—21no—
1001Dic67—23no—
1002Dic67—23no—
1003Dic67—23no—
1004Dic67C22×#4116yes—
1005C2×#3516—671nomaximal, Sylow
1006C2×C67—22no—
1007C2×C67—41no—
1008C2×C67—43no—
1009C2×C67C23×#4111yescharacteristic
1010C2×C67C22×2−1+411yescharacteristic
1011C2×C67C2×#58511yescharacteristic
1012D67—22no—
1013D67—41no—
1014D67—43no—
1015D67#351614yesdirect product factor
1016#3516—671no—
1017#3516—673no—
1018#3516—673no—
1019#3516—673no—
1020#3516—673no—
1021#3516—671no—
1022#3516—671no—
1023#3516—671no—
1024#3516—673no—
1025#3516—673no—
1026#3516—673no—
1027#3516—673no—
1028#3516—671no—
1029#3516—671no—
1030#3516—671no—
1031#3516D6711yescharacteristic, direct product factor
1032C2×#557—671no—
1033C2×#556—673no—
1034C2×#554—673no—
1035C2×#553—673no—
1036C2×#552—673no—
1037C2×D4×Q8—671no—
1038C2×#548—671no—
1039C2×#548—671no—
1040C2×#542—673no—
1041C2×#541—673no—
1042C2×#529—673no—
1043C2×#529—673no—
1044C2×#520—671no—
1045C2×#519—671no—
1046C22×C4×Q8—671no—
1047C67C2×#351611yescharacteristic, complemented, Sylow
1048C22×#41—671no—
1049C23×Q8—671no—
1050C23×Q8—671no—
1051#557—673no—
1052#557—673no—
1053#557—673no—
1054#557—671no—
1055#557—671no—
1056#557—673no—
1057#557—671no—
1058#557C2×D6711yescharacteristic, complemented
1059#556—673no—
1060#556—676no—
1061#556—676no—
1062#556—673no—
1063#556—673no—
1064#556—676no—
1065#556—673no—
1066#556—673no—
1067#556—673no—
1068#556—673no—
1069#556—676no—
1070#556C2×D6713yescomplemented
1071#554—673no—
1072#554—676no—
1073#554—676no—
1074#554—676no—
1075#554—673no—
1076#554—673no—
1077#554—673no—
1078#554—673no—
1079#554—676no—
1080#554—673no—
1081#554—673no—
1082#554C2×D6713yescomplemented
1083#553—676no—
1084#553—673no—
1085#553—676no—
1086#553—676no—
1087#553—673no—
1088#553—673no—
1089#553—673no—
1090#553—676no—
1091#553—673no—
1092#553—673no—
1093#553—673no—
1094#553C2×D6713yescomplemented
1095#552—676no—
1096#552—676no—
1097#552—673no—
1098#552—676no—
1099#552—673no—
1100#552—673no—
1101#552—673no—
1102#552—673no—
1103#552—676no—
1104#552—673no—
1105#552—673no—
1106#552C2×D6713yescomplemented
1107D4×Q8—671no—
1108D4×Q8—671no—
1109D4×Q8—673no—
1110D4×Q8—673no—
1111D4×Q8—673no—
1112D4×Q8—671no—
1113D4×Q8—673no—
1114D4×Q8C2×D6711yescharacteristic, complemented
1115#548—671no—
1116#548—671no—
1117#548—671no—
1118#548—671no—
1119#548—673no—
1120#548—673no—
1121#548—673no—
1122#548—673no—
1123#548—673no—
1124#548—673no—
1125#548—671no—
1126#548—671no—
1127#548—673no—
1128#548—673no—
1129#548C2×D6711yescharacteristic, complemented
1130#548C2×D6711yescharacteristic, complemented
1131#542—673no—
1132#542—676no—
1133#542—676no—
1134#542—673no—
1135#542—676no—
1136#542—676no—
1137#542—673no—
1138#542—673no—
1139#542—673no—
1140#542—673no—
1141#542—673no—
1142#542C2×D6713yescomplemented
1143#541—673no—
1144#541—676no—
1145#541—676no—
1146#541—676no—
1147#541—676no—
1148#541—673no—
1149#541—673no—
1150#541—673no—
1151#541—673no—
1152#541—673no—
1153#541—673no—
1154#541C2×D6713yescomplemented
1155C2×C4⋊Q8—673no—
1156C2×C4⋊Q8—673no—
1157#529—673no—
1158#529—673no—
1159#529—676no—
1160#529—673no—
1161#529—673no—
1162#529—673no—
1163#529—673no—
1164#529—673no—
1165#529—673no—
1166#529—676no—
1167#529—673no—
1168#529—673no—
1169#529—673no—
1170#529—673no—
1171#529—673no—
1172#529—673no—
1173#529—673no—
1174#529—673no—
1175#529—676no—
1176#529—673no—
1177#529—673no—
1178#529—673no—
1179#529—673no—
1180#529—676no—
1181#529—673no—
1182#529—673no—
1183#529C2×D6713yescomplemented
1184#529C2×D6713yescomplemented
1185C2×#126—676no—
1186C2×#126—673no—
1187C2×#126—673no—
1188C2×#126—676no—
1189C2×#125—673no—
1190C2×#125—673no—
1191C2×#125—676no—
1192C2×#125—673no—
1193C2×#124—673no—
1194C2×#124—673no—
1195C2×#124—673no—
1196C2×#123—671no—
1197C2×#123—673no—
1198C2×#123—676no—
1199C2×C22⋊Q8—673no—
1200C2×C22⋊Q8—673no—
1201C2×C22⋊Q8—673no—
1202C2×C22⋊Q8—673no—
1203C2×C22⋊Q8—673no—
1204C2×C22⋊Q8—676no—
1205C2×#121—673no—
1206C2×#121—673no—
1207C2×#121—673no—
1208#520—671no—
1209#520—671no—
1210#520—671no—
1211#520—673no—
1212#520—673no—
1213#520—673no—
1214#520—673no—
1215#520C2×D6711yescharacteristic, complemented
1216#519—671no—
1217#519—673no—
1218#519—673no—
1219#519—671no—
1220#519—671no—
1221#519—673no—
1222#519—673no—
1223#519C2×D6711yescharacteristic, complemented
1224C2×C4×Q8—671no—
1225C2×C4×Q8—671no—
1226C2×C4×Q8—673no—
1227C2×C4×Q8—671no—
1228C2×C4×Q8—673no—
1229C2×C4×Q8—671no—
1230C2×C4×Q8—673no—
1231C2×C4×Q8—671no—
1232C2×C4×Q8—673no—
1233C2×C4×Q8—673no—
1234C2×C4×Q8—671no—
1235C2×C4×Q8—673no—
1236C2×C4×Q8—671no—
1237C2×C4×Q8—673no—
1238C2×C4×Q8—673no—
1239C2×C4×Q8—673no—
1240C2×C4×Q8C2×D6711yescharacteristic, complemented
1241C2×C4×D4—673no—
1242C2×C4×D4—673no—
1243C2×C4×D4—673no—
1244C2×C4×D4—673no—
1245C2×C4×D4—673no—
1246C2×C4×D4—676no—
1247C2×#117—673no—
1248C2×#117—673no—
1249C2×#117—673no—
1250C2×#117—676no—
1251C22×C4⋊C4—673no—
1252C22×C4⋊C4—673no—
1253C22×C42—673no—
1254C2×#41—671no—
1255C2×#41—673no—
1256C2×#41—673no—
1257C2×#41—1348no—
1258C2×#41C22×D6711yescharacteristic
1259C22×Q8—673no—
1260C22×Q8—671no—
1261C22×Q8—673no—
1262C22×Q8—673no—
1263C22×Q8—673no—
1264C22×Q8—671no—
1265C22×Q8—673no—
1266C22×Q8—671no—
1267C22×Q8—673no—
1268C22×Q8—673no—
1269C22×Q8—1348no—
1270C22×Q8—1348no—
1271C22×Q8C22×D6711yescharacteristic
1272C22×Q8C22×D6711yescharacteristic
1273C22×D4—673no—
1274C22×D4—673no—
1275C22×D4—671no—
1276C22×D4—673no—
1277C23×C4—673no—
1278C23×C4—676no—
1279C23×C4—673no—
1280C23×C4—673no—
1281C23×C4—673no—
1282C23×C4—671no—
1283C4⋊Q8—673no—
1284C4⋊Q8—673no—
1285C4⋊Q8—676no—
1286C4⋊Q8—676no—
1287C4⋊Q8—676no—
1288C4⋊Q8—676no—
1289C4⋊Q8—673no—
1290C4⋊Q8—673no—
1291C4⋊Q8—673no—
1292C4⋊Q8—673no—
1293C4⋊Q8C22×D6713yes—
1294C4⋊Q8C22×D6713yes—
1295#126—676no—
1296#126—676no—
1297#126—676no—
1298#126—673no—
1299#126—673no—
1300#126—673no—
1301#126—673no—
1302#126—673no—
1303#126—673no—
1304#126—676no—
1305#126—676no—
1306#126—676no—
1307#126—676no—
1308#126—676no—
1309#126—676no—
1310#126—673no—
1311#126—673no—
1312#126—673no—
1313#126—673no—
1314#126—673no—
1315#126—673no—
1316#126—676no—
1317#126—676no—
1318#126—676no—
1319#126—676no—
1320#126—673no—
1321#126—673no—
1322#126—676no—
1323#126C22×D6716yes—
1324#126C22×D6713yes—
1325#126C22×D6713yes—
1326#126C22×D6716yes—
1327#125—673no—
1328#125—673no—
1329#125—673no—
1330#125—673no—
1331#125—673no—
1332#125—673no—
1333#125—676no—
1334#125—676no—
1335#125—673no—
1336#125—673no—
1337#125—676no—
1338#125—676no—
1339#125—676no—
1340#125—676no—
1341#125—676no—
1342#125—676no—
1343#125—676no—
1344#125—676no—
1345#125—673no—
1346#125—673no—
1347#125—673no—
1348#125—673no—
1349#125—676no—
1350#125—673no—
1351#125C22×D6713yes—
1352#125C22×D6713yes—
1353#125C22×D6716yes—
1354#125C22×D6713yes—
1355#124—673no—
1356#124—673no—
1357#124—673no—
1358#124—673no—
1359#124—673no—
1360#124—673no—
1361#124—673no—
1362#124—673no—
1363#124—673no—
1364#124—673no—
1365#124—676no—
1366#124—676no—
1367#124—676no—
1368#124—676no—
1369#124—673no—
1370#124—673no—
1371#124—673no—
1372#124C22×D6713yes—
1373#124C22×D6713yes—
1374#124C22×D6713yes—
1375#123—671no—
1376#123—673no—
1377#123—676no—
1378#123—671no—
1379#123—673no—
1380#123—676no—
1381#123—671no—
1382#123—671no—
1383#123—673no—
1384#123—673no—
1385#123—676no—
1386#123—676no—
1387#123—671no—
1388#123—673no—
1389#123—673no—
1390#123—671no—
1391#123—671no—
1392#123—673no—
1393#123—676no—
1394#123—676no—
1395#123—676no—
1396#123C22×D6711yescharacteristic
1397#123C22×D6713yes—
1398#123C22×D6716yes—
1399C22⋊Q8—673no—
1400C22⋊Q8—673no—
1401C22⋊Q8—673no—
1402C22⋊Q8—673no—
1403C22⋊Q8—673no—
1404C22⋊Q8—676no—
1405C22⋊Q8—673no—
1406C22⋊Q8—673no—
1407C22⋊Q8—673no—
1408C22⋊Q8—673no—
1409C22⋊Q8—673no—
1410C22⋊Q8—676no—
1411C22⋊Q8—676no—
1412C22⋊Q8—673no—
1413C22⋊Q8—673no—
1414C22⋊Q8—673no—
1415C22⋊Q8—673no—
1416C22⋊Q8—676no—
1417C22⋊Q8—673no—
1418C22⋊Q8—676no—
1419C22⋊Q8—673no—
1420C22⋊Q8—676no—
1421C22⋊Q8—673no—
1422C22⋊Q8—676no—
1423C22⋊Q8—676no—
1424C22⋊Q8—676no—
1425C22⋊Q8—676no—
1426C22⋊Q8—673no—
1427C22⋊Q8—673no—
1428C22⋊Q8—676no—
1429C22⋊Q8—676no—
1430C22⋊Q8—676no—
1431C22⋊Q8—676no—
1432C22⋊Q8—676no—
1433C22⋊Q8C22×D6713yes—
1434C22⋊Q8C22×D6713yes—
1435C22⋊Q8C22×D6713yes—
1436C22⋊Q8C22×D6713yes—
1437C22⋊Q8C22×D6713yes—
1438C22⋊Q8C22×D6716yes—
1439#121—673no—
1440#121—676no—
1441#121—673no—
1442#121—673no—
1443#121—673no—
1444#121—673no—
1445#121—676no—
1446#121—673no—
1447#121—673no—
1448#121—673no—
1449#121—673no—
1450#121—673no—
1451#121—673no—
1452#121—676no—
1453#121—673no—
1454#121—673no—
1455#121—676no—
1456#121C22×D6713yes—
1457#121C22×D6713yes—
1458#121C22×D6713yes—
1459C4×Q8—671no—
1460C4×Q8—673no—
1461C4×Q8—671no—
1462C4×Q8—673no—
1463C4×Q8—673no—
1464C4×Q8—671no—
1465C4×Q8—673no—
1466C4×Q8—671no—
1467C4×Q8—673no—
1468C4×Q8—673no—
1469C4×Q8—676no—
1470C4×Q8—673no—
1471C4×Q8—673no—
1472C4×Q8—676no—
1473C4×Q8—673no—
1474C4×Q8—676no—
1475C4×Q8—673no—
1476C4×Q8—673no—
1477C4×Q8—676no—
1478C4×Q8—673no—
1479C4×Q8—673no—
1480C4×Q8—673no—
1481C4×Q8—673no—
1482C4×Q8—673no—
1483C4×Q8—673no—
1484C4×Q8—676no—
1485C4×Q8—673no—
1486C4×Q8—673no—
1487C4×Q8—673no—
1488C4×Q8—676no—
1489C4×Q8—676no—
1490C4×Q8—673no—
1491C4×Q8—673no—
1492C4×Q8—673no—
1493C4×Q8—676no—
1494C4×Q8—673no—
1495C4×Q8—673no—
1496C4×Q8—673no—
1497C4×Q8—673no—
1498C4×Q8C22×D6711yescharacteristic
1499C4×Q8C22×D6713yes—
1500C4×Q8C22×D6711yescharacteristic
1501C4×Q8C22×D6713yes—
1502C4×Q8C22×D6713yes—
1503C4×Q8C22×D6711yescharacteristic
1504C4×Q8C22×D6713yes—
1505C4×Q8C22×D6711yescharacteristic
1506C4×Q8C22×D6713yes—
1507C4×D4—673no—
1508C4×D4—673no—
1509C4×D4—673no—
1510C4×D4—673no—
1511C4×D4—673no—
1512C4×D4—676no—
1513C4×D4—676no—
1514C4×D4—676no—
1515C4×D4—673no—
1516C4×D4—673no—
1517C4×D4—673no—
1518C4×D4—673no—
1519C4×D4—673no—
1520C4×D4—673no—
1521C4×D4—676no—
1522C4×D4—676no—
1523C4×D4—673no—
1524C4×D4—673no—
1525C4×D4—673no—
1526C4×D4—673no—
1527C4×D4—673no—
1528C4×D4—676no—
1529C4×D4—676no—
1530C4×D4—676no—
1531C4×D4—673no—
1532C4×D4—673no—
1533C4×D4—673no—
1534C4×D4—673no—
1535C4×D4—673no—
1536C4×D4—673no—
1537C4×D4—676no—
1538C4×D4—676no—
1539C4×D4—673no—
1540C4×D4—673no—
1541C4×D4—673no—
1542C4×D4—673no—
1543C4×D4—673no—
1544C4×D4—676no—
1545C4×D4C22×D6713yes—
1546C4×D4C22×D6713yes—
1547C4×D4C22×D6713yes—
1548C4×D4C22×D6713yes—
1549C4×D4C22×D6713yes—
1550C4×D4C22×D6716yes—
1551#117—673no—
1552#117—673no—
1553#117—673no—
1554#117—676no—
1555#117—673no—
1556#117—673no—
1557#117—673no—
1558#117—673no—
1559#117—673no—
1560#117—673no—
1561#117—676no—
1562#117—676no—
1563#117—673no—
1564#117—673no—
1565#117—676no—
1566#117—673no—
1567#117—673no—
1568#117—676no—
1569#117—676no—
1570#117—673no—
1571#117—673no—
1572#117—676no—
1573#117—673no—
1574#117—673no—
1575#117—676no—
1576#117—676no—
1577#117C22×D6713yes—
1578#117C22×D6713yes—
1579#117C22×D6713yes—
1580#117C22×D6716yes—
1581C2×C4⋊C4—676no—
1582C2×C4⋊C4—673no—
1583C2×C4⋊C4—676no—
1584C2×C4⋊C4—673no—
1585C2×C4⋊C4—673no—
1586C2×C4⋊C4—673no—
1587C2×C4⋊C4—673no—
1588C2×C4⋊C4—673no—
1589C2×C4⋊C4—676no—
1590C2×C4⋊C4—676no—
1591C2×C4⋊C4—673no—
1592C2×C4⋊C4—673no—
1593C2×C4⋊C4—676no—
1594C2×C4⋊C4—673no—
1595C2×C4⋊C4—673no—
1596C2×C4⋊C4—671no—
1597C2×C4⋊C4—673no—
1598C2×C4⋊C4—673no—
1599C2×C4⋊C4—673no—
1600C2×C4⋊C4—673no—
1601C2×C4⋊C4—676no—
1602C2×C4⋊C4—673no—
1603C2×C4⋊C4—673no—
1604C2×C4⋊C4—676no—
1605C2×C4⋊C4—673no—
1606C2×C4⋊C4—671no—
1607C2×C4⋊C4—673no—
1608C2×C4⋊C4C22×D6713yes—
1609C2×C4⋊C4C22×D6713yes—
1610C2×C22⋊C4—673no—
1611C2×C22⋊C4—671no—
1612C2×C22⋊C4—673no—
1613C2×C22⋊C4—673no—
1614C2×C22⋊C4—673no—
1615C2×C22⋊C4—676no—
1616C2×C22⋊C4—671no—
1617C2×C22⋊C4—673no—
1618C2×C22⋊C4—671no—
1619C2×C22⋊C4—676no—
1620C2×C22⋊C4—673no—
1621C2×C22⋊C4—673no—
1622C2×C42—673no—
1623C2×C42—673no—
1624C2×C42—673no—
1625C2×C42—673no—
1626C2×C42—676no—
1627C2×C42—673no—
1628C2×C42—673no—
1629C2×C42—673no—
1630C2×C42—673no—
1631C2×C42—673no—
1632C2×C42—673no—
1633C2×C42—673no—
1634C2×C42—673no—
1635C2×C42—673no—
1636C2×C42C22×D6713yes—
1637C24—671no—
1638C24—673no—
1639C24—671no—
1640#41—24no—
1641#41—13412no—
1642#41—13412no—
1643#41—1344no—
1644C2×Q8—24no—
1645C2×Q8—24no—
1646C2×Q8—2686no—
1647C2×Q8—678no—
1648C2×Q8—673no—
1649C2×Q8—673no—
1650C2×Q8—673no—
1651C2×Q8—673no—
1652C2×Q8—676no—
1653C2×Q8—676no—
1654C2×Q8—673no—
1655C2×Q8—673no—
1656C2×Q8—13412no—
1657C2×Q8—13412no—
1658C2×Q8—13412no—
1659C2×Q8—13412no—
1660C2×Q8—13412no—
1661C2×Q8—13412no—
1662C2×Q8—1344no—
1663C2×Q8—1344no—
1664C2×Q8C23×D6713yes—
1665C2×Q8C23×D6713yes—
1666C2×Q8C23×D6713yes—
1667C2×Q8C23×D6711yescharacteristic
1668C2×D4—2686no—
1669C2×D4—673no—
1670C2×D4—673no—
1671C2×D4—673no—
1672C2×D4—671no—
1673C2×D4—673no—
1674C2×D4—671no—
1675C2×D4—676no—
1676C2×D4—673no—
1677C2×D4—673no—
1678C2×D4—671no—
1679C2×D4—673no—
1680C2×D4—13412no—
1681C2×D4—13412no—
1682C2×D4—1344no—
1683C2×D4C23×D6713yes—
1684C2×D4C23×D6711yescharacteristic
1685C2×D4C23×D6713yes—
1686C2×D4C23×D6713yes—
1687C22×C4—26812no—
1688C22×C4—2686no—
1689C22×C4—673no—
1690C22×C4—676no—
1691C22×C4—673no—
1692C22×C4—673no—
1693C22×C4—676no—
1694C22×C4—676no—
1695C22×C4—673no—
1696C22×C4—671no—
1697C22×C4—673no—
1698C22×C4—673no—
1699C22×C4—673no—
1700C22×C4—671no—
1701C22×C4—671no—
1702C22×C4—671no—
1703C22×C4—671no—
1704C22×C4—673no—
1705C22×C4—671no—
1706C22×C4—673no—
1707C22×C4—671no—
1708C22×C4—673no—
1709C22×C4—673no—
1710C22×C4—673no—
1711C22×C4—673no—
1712C22×C4—673no—
1713C22×C4—673no—
1714C22×C4—671no—
1715C22×C4—673no—
1716C22×C4—673no—
1717C22×C4—673no—
1718C22×C4—673no—
1719C22×C4—13412no—
1720C22×C4—13412no—
1721C22×C4—13412no—
1722C22×C4—1344no—
1723C22×C4C23×D6711yescharacteristic
1724C22×C4C23×D6713yes—
1725C22×C4C23×D6713yes—
1726C22×C4C23×D6713yes—
1727C22×C4C23×D6713yes—
1728C22×C4C23×D6716yes—
1729C4⋊C4—676no—
1730C4⋊C4—673no—
1731C4⋊C4—673no—
1732C4⋊C4—673no—
1733C4⋊C4—673no—
1734C4⋊C4—676no—
1735C4⋊C4—673no—
1736C4⋊C4—676no—
1737C4⋊C4—673no—
1738C4⋊C4—676no—
1739C4⋊C4—676no—
1740C4⋊C4—676no—
1741C4⋊C4—671no—
1742C4⋊C4—671no—
1743C4⋊C4—671no—
1744C4⋊C4—673no—
1745C4⋊C4—673no—
1746C4⋊C4—673no—
1747C4⋊C4—676no—
1748C4⋊C4—673no—
1749C4⋊C4—673no—
1750C4⋊C4—673no—
1751C4⋊C4—673no—
1752C4⋊C4—673no—
1753C4⋊C4—673no—
1754C4⋊C4—673no—
1755C4⋊C4—676no—
1756C4⋊C4—676no—
1757C4⋊C4—676no—
1758C4⋊C4—673no—
1759C4⋊C4—673no—
1760C4⋊C4—673no—
1761C4⋊C4—673no—
1762C4⋊C4—673no—
1763C4⋊C4—673no—
1764C4⋊C4—676no—
1765C4⋊C4—676no—
1766C4⋊C4—676no—
1767C4⋊C4—673no—
1768C4⋊C4—673no—
1769C4⋊C4—673no—
1770C4⋊C4—671no—
1771C4⋊C4—671no—
1772C4⋊C4—671no—
1773C4⋊C4—673no—
1774C4⋊C4—673no—
1775C4⋊C4—673no—
1776C4⋊C4C23×D6713yes—
1777C4⋊C4C23×D6713yes—
1778C4⋊C4C23×D6713yes—
1779C4⋊C4C23×D6713yes—
1780C4⋊C4C23×D6716yes—
1781C4⋊C4C23×D6711yescharacteristic
1782C4⋊C4C23×D6713yes—
1783C4⋊C4C23×D6713yes—
1784C4⋊C4C23×D6713yes—
1785C4⋊C4C23×D6713yes—
1786C4⋊C4C23×D6716yes—
1787C4⋊C4C23×D6713yes—
1788C4⋊C4C23×D6713yes—
1789C4⋊C4C23×D6716yes—
1790C4⋊C4C23×D6713yes—
1791C4⋊C4C23×D6711yescharacteristic
1792C4⋊C4C23×D6713yes—
1793C22⋊C4—673no—
1794C22⋊C4—671no—
1795C22⋊C4—673no—
1796C22⋊C4—673no—
1797C22⋊C4—673no—
1798C22⋊C4—676no—
1799C22⋊C4—671no—
1800C22⋊C4—673no—
1801C22⋊C4—671no—
1802C22⋊C4—676no—
1803C22⋊C4—673no—
1804C22⋊C4—673no—
1805C22⋊C4—673no—
1806C22⋊C4—673no—
1807C22⋊C4—671no—
1808C22⋊C4—671no—
1809C22⋊C4—673no—
1810C22⋊C4—673no—
1811C22⋊C4—673no—
1812C22⋊C4—673no—
1813C22⋊C4—673no—
1814C22⋊C4—673no—
1815C22⋊C4—676no—
1816C22⋊C4—676no—
1817C22⋊C4—671no—
1818C22⋊C4—673no—
1819C22⋊C4—673no—
1820C22⋊C4—671no—
1821C22⋊C4—671no—
1822C22⋊C4—671no—
1823C22⋊C4—676no—
1824C22⋊C4—676no—
1825C22⋊C4—673no—
1826C22⋊C4—673no—
1827C22⋊C4—673no—
1828C22⋊C4—673no—
1829C22⋊C4C23×D6713yes—
1830C22⋊C4C23×D6711yescharacteristic
1831C22⋊C4C23×D6713yes—
1832C22⋊C4C23×D6713yes—
1833C22⋊C4C23×D6713yes—
1834C22⋊C4C23×D6716yes—
1835C22⋊C4C23×D6711yescharacteristic
1836C22⋊C4C23×D6713yes—
1837C22⋊C4C23×D6711yescharacteristic
1838C22⋊C4C23×D6716yes—
1839C22⋊C4C23×D6713yes—
1840C22⋊C4C23×D6713yes—
1841C42—673no—
1842C42—673no—
1843C42—673no—
1844C42—673no—
1845C42—673no—
1846C42—673no—
1847C42—673no—
1848C42—673no—
1849C42—673no—
1850C42—673no—
1851C42—673no—
1852C42—673no—
1853C42—676no—
1854C42—676no—
1855C42—676no—
1856C42—673no—
1857C42—673no—
1858C42—673no—
1859C42—673no—
1860C42—673no—
1861C42—673no—
1862C42C23×D6713yes—
1863C42C23×D6713yes—
1864C42C23×D6713yes—
1865C42C23×D6713yes—
1866C42C23×D6716yes—
1867C42C23×D6713yes—
1868C42C23×D6713yes—
1869C23—671no—
1870C23—674no—
1871C23—671no—
1872C23—671no—
1873C23—673no—
1874C23—1346no—
1875C23—1342no—
1876C23—1346no—
1877C23—1342no—
1878C23—1346no—
1879C23—1342no—
1880C23—1342no—
1881C23—1342no—
1882C23C24×D6711yescharacteristic
1883C23C24×D6713yes—
1884C23C24×D6711yescharacteristic
1885Q8—26no—
1886Q8—26no—
1887Q8—43no—
1888Q8—2683no—
1889Q8—2683no—
1890Q8—2683no—
1891Q8—6712no—
1892Q8—13412no—
1893Q8—13412no—
1894Q8—1346no—
1895Q8—1346no—
1896Q8#41×D6714yes—
1897D4—26no—
1898D4—22no—
1899D4—26no—
1900D4—43no—
1901D4—2683no—
1902D4—2683no—
1903D4—2683no—
1904D4—1346no—
1905D4—1342no—
1906D4—13412no—
1907D4—1346no—
1908D4—1342no—
1909D4—1346no—
1910D4—1342no—
1911D4—1346no—
1912C2×C4—22no—
1913C2×C4—26no—
1914C2×C4—26no—
1915C2×C4—26no—
1916C2×C4—46no—
1917C2×C4—43no—
1918C2×C4—2686no—
1919C2×C4—2683no—
1920C2×C4—2686no—
1921C2×C4—2683no—
1922C2×C4—2686no—
1923C2×C4—2683no—
1924C2×C4—673no—
1925C2×C4—6712no—
1926C2×C4—671no—
1927C2×C4—671no—
1928C2×C4—673no—
1929C2×C4—671no—
1930C2×C4—673no—
1931C2×C4—671no—
1932C2×C4—673no—
1933C2×C4—673no—
1934C2×C4—673no—
1935C2×C4—673no—
1936C2×C4—671no—
1937C2×C4—1346no—
1938C2×C4—1346no—
1939C2×C4—1346no—
1940C2×C4—1346no—
1941C2×C4—1346no—
1942C2×C4—1346no—
1943C2×C4—1342no—
1944C2×C4—1346no—
1945C2×C4—1346no—
1946C2×C4—1342no—
1947C2×C4—1342no—
1948C2×C4—1342no—
1949C2×C4—1342no—
1950C2×C4—1346no—
1951C2×C4—1342no—
1952C2×C4—1342no—
1953C2×C4—1346no—
1954C2×C4—1346no—
1955C2×C4—1346no—
1956C2×C4—1342no—
1957C2×C4—1346no—
1958C2×C4—1346no—
1959C2×C4—1346no—
1960C2×C4C24×D6711yescharacteristic
1961C2×C4C24×D6711yescharacteristic
1962C2×C4C24×D6713yes—
1963C2×C4C24×D6711yescharacteristic
1964C2×C4C24×D6713yes—
1965C2×C4C24×D6711yescharacteristic
1966C2×C4C24×D6713yes—
1967C2×C4C24×D6713yes—
1968C2×C4C24×D6713yes—
1969C2×C4C24×D6713yes—
1970C2×C4C24×D6711yescharacteristic
1971C2×C4C24×D6713yes—
1972C22—21no—
1973C22—21no—
1974C22—21no—
1975C22—23no—
1976C22—21no—
1977C22—23no—
1978C22—23no—
1979C22—21no—
1980C22—26812no—
1981C22—2684no—
1982C22—672no—
1983C22—672no—
1984C22—672no—
1985C22—672no—
1986C22—1348no—
1987C22—1341no—
1988C22—1343no—
1989C22—1341no—
1990C22—1343no—
1991C22—1343no—
1992C22—1341no—
1993C22—1341no—
1994C22—1341no—
1995C222−1+4×D6712yes—
1996C22C25×D6711yescharacteristic
1997C4—21no—
1998C4—23no—
1999C4—23no—
2000C4—21no—
2001C4—21no—
2002C4—23no—
2003C4—21no—
2004C4—23no—
2005C4—23no—
2006C4—23no—
2007C4—21no—
2008C4—676no—
2009C4—1341no—
2010C4—1343no—
2011C4—1343no—
2012C4—1341no—
2013C4—1341no—
2014C4—1343no—
2015C4—1341no—
2016C4—1343no—
2017C4—1343no—
2018C4—1343no—
2019C4—1341no—
2020C4C2×#41×D6716yes—
2021C2—22no—
2022C2—41no—
2023C2—43no—
2024C2—2681no—
2025C2—2683no—
2026C2—674no—
2027C2—1342no—
2028C2C22×#41×D6711yescharacteristic
2029C2C2×2−1+4×D6711yescharacteristic
2030C2#585×D6711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D67
commutator, socle, cosocleC22×C67C26
FittingC67×#3516C2
hypercenter#3516D67
hypocenterC67C2×#3516
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C22 ◁ #3516

Complements

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

NH ≅ G/Ntype
1. #22574205C2semidirect
2. #22574204C2semidirect
3. #22574203C2semidirect
4. #22574202C2semidirect
5. #22574201C2semidirect
6. #22574200C2semidirect
7. #22574199C2semidirect
8. #22574198C2semidirect
9. #22574197C2semidirect
10. #22574196C2semidirect
11. #22574195C2semidirect
12. #22574194C2semidirect
13. #22574193C2semidirect
14. #22574192C2semidirect
15. #22574191C2semidirect
16. #557×D67C2semidirect
17. #556×D67C2semidirect
18. #554×D67C2semidirect
19. #553×D67C2semidirect
20. #552×D67C2semidirect
21. D4×Q8×D67C2semidirect
22. #548×D67C2semidirect
23. #548×D67C2semidirect
24. #542×D67C2semidirect
25. #541×D67C2semidirect
26. #529×D67C2semidirect
27. #529×D67C2semidirect
28. #520×D67C2semidirect
29. #519×D67C2semidirect
30. C2×C4×Q8×D67C2semidirect
31. C67×#3516C2semidirect
35. #16864125C22semidirect
36. #16864124C22semidirect
37. #16864123C22semidirect
38. #16864123C22semidirect
39. #16864122C22semidirect
40. #16864122C22semidirect
41. #16864121C22semidirect
42. #16864120C22semidirect
43. #16864119C22semidirect
44. #16864118C22semidirect
45. #16864118C22semidirect
46. #16864117C22semidirect
47. #16864116C22semidirect
48. #16864115C22semidirect
49. #16864115C22semidirect
50. #16864114C22semidirect
51. #16864113C22semidirect
52. #16864113C22semidirect
53. #16864107C22semidirect
54. #16864106C22semidirect
55. #16864105C22semidirect
56. #16864104C22semidirect
57. #16864104C22semidirect
58. #16864103C22semidirect
59. #16864102C22semidirect
60. #16864101C22semidirect
61. #16864101C22semidirect
62. #16864100C22semidirect
63. #16864100C22semidirect
64. #16864099C22semidirect
65. #16864098C22semidirect
66. #16864097C22semidirect
67. #16864096C22semidirect
68. #16864095C22semidirect
69. #16864094C22semidirect
70. #16864093C22semidirect
71. #16864092C22semidirect
72. #16864091C22semidirect
73. #16864090C22semidirect
74. #16864089C22semidirect
75. #16864088C22semidirect
76. #16864087C22semidirect
77. #16864086C22semidirect
78. #16864085C22semidirect
79. #16864084C22semidirect
80. #16864083C22semidirect
81. #16864082C22semidirect
82. #16864081C22semidirect
83. #16864080C22semidirect
84. #16864079C22semidirect
85. #16864078C22semidirect
86. Q8×D268C22semidirect
87. D4×Dic134C22semidirect
88. #16864061C22semidirect
89. Q8×C22⋊D67C22semidirect
90. Q8×C22⋊D67C22semidirect
91. #16864059C22semidirect
92. #16864059C22semidirect
93. #16864058C22semidirect
94. #16864058C22semidirect
95. #16864057C22semidirect
96. #16864057C22semidirect
97. #16864056C22semidirect
98. #16864056C22semidirect
99. #16864055C22semidirect
100. #16864055C22semidirect
101. #16864054C22semidirect
102. #16864054C22semidirect
103. #16864053C22semidirect
104. #16864053C22semidirect
105. #16864052C22semidirect
106. #16864052C22semidirect
107. #16864020C22semidirect
108. #16864019C22semidirect
109. #16864018C22semidirect
110. #16864017C22semidirect
111. #16864016C22semidirect
112. #16864015C22semidirect
113. #16864014C22semidirect
114. #16864013C22semidirect
115. #16864012C22semidirect
116. #16864011C22semidirect
117. #16864010C22semidirect
118. #16864009C22semidirect
119. #16864008C22semidirect
120. #16864007C22semidirect
121. #16864006C22semidirect
122. #16864006C22semidirect
123. #16864005C22semidirect
124. #16864005C22semidirect
125. #16864004C22semidirect
126. #16864004C22semidirect
127. #16864003C22semidirect
128. #16864003C22semidirect
131. #16863933C22semidirect
132. #16863933C22semidirect
133. #16863932C22semidirect
134. #16863932C22semidirect
135. #16863931C22semidirect
136. #16863931C22semidirect
137. #16863930C22semidirect
138. #16863930C22semidirect
139. #16863929C22semidirect
140. #16863929C22semidirect
141. #16863929C22semidirect
142. #16863928C22semidirect
143. #16863928C22semidirect
144. #16863927C22semidirect
145. #16863927C22semidirect
146. #16863926C22semidirect
147. #16863926C22semidirect
148. #16863926C22semidirect
149. #16863925C22semidirect
150. #16863925C22semidirect
151. #16863924C22semidirect
152. #16863924C22semidirect
153. #16863924C22semidirect
154. #16863923C22semidirect
155. #16863923C22semidirect
156. #16863923C22semidirect
180. #16863879C22semidirect
181. #16863878C22semidirect
182. #16863878C22semidirect
183. #16863877C22semidirect
184. #16863876C22semidirect
185. #16863875C22semidirect
186. #16863875C22semidirect
187. #16863874C22semidirect
188. #16863873C22semidirect
189. #16863873C22semidirect
190. #16863872C22semidirect
191. #16863872C22semidirect
192. #16863872C22semidirect
193. #16863872C22semidirect
194. C2×Q8×Dic67C22semidirect
195. C2×C4×Dic134C22semidirect
196. C2×#14524008C22semidirect
206. C4×Q8×D67C22semidirect
207. C4×Q8×D67C22semidirect
208. C4×Q8×D67C22semidirect
209. C4×Q8×D67C22semidirect
223. #557×C67C22semidirect
224. #556×C67C22semidirect
225. #554×C67C22semidirect
226. #553×C67C22semidirect
227. #552×C67C22semidirect
228. D4×Q8×C67C22semidirect
229. #548×C67C22semidirect
230. #548×C67C22semidirect
231. #542×C67C22semidirect
232. #541×C67C22semidirect
233. #529×C67C22semidirect
234. #529×C67C22semidirect
235. #520×C67C22semidirect
236. #519×C67C22semidirect
237. C2×C4×Q8×C67C22semidirect
1015. D67#3516direct (N × H)
1031. #3516D67direct (N × H)
1047. C67C2×#3516semidirect
1058. #557C2×D67semidirect
1070. #556C2×D67semidirect
1082. #554C2×D67semidirect
1094. #553C2×D67semidirect
1106. #552C2×D67semidirect
1114. D4×Q8C2×D67semidirect
1129. #548C2×D67semidirect
1130. #548C2×D67semidirect
1142. #542C2×D67semidirect
1154. #541C2×D67semidirect
1183. #529C2×D67semidirect
1184. #529C2×D67semidirect
1215. #520C2×D67semidirect
1223. #519C2×D67semidirect
1240. C2×C4×Q8C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225742052
#225742042
#225742032
#225742022
#225742012
#225742002
#225741992
#225741982
#225741972
#225741962
#225741952
#225741942
#225741932
#225741922
#225741912
#557×D672
#556×D672
#554×D672
#553×D672
#552×D672
D4×Q8×D672
#548×D672
#542×D672
#541×D672
#529×D672
#520×D672
#519×D672
C2×C4×Q8×D672
C67×#35162
C2×#351667