Finite Group Databasebeta

← #31764128

Subgroups — #31764128

Order 17152.

7190 conjugacy classes of subgroups.

The subgroup lattice has 2038 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574318C211yesmaximal, characteristic, complemented
2#22574314C213yesmaximal, complemented
3#22574308C213yesmaximal, complemented
4#22574222C213yesmaximal, complemented
5#22574220C211yesmaximal, characteristic, complemented
6#22574211C213yesmaximal, complemented
7#22574209C211yesmaximal, characteristic, complemented
8#22574057C213yesmaximal, complemented
9#22574055C213yesmaximal, complemented
10#22574016C211yesmaximal, characteristic, complemented
11#22573977C211yesmaximal, characteristic, complemented
12#22573927C213yesmaximal, complemented
13#22573920C213yesmaximal, complemented
14#22573866C211yesmaximal, characteristic, complemented
15#22573862C211yesmaximal, characteristic, complemented
16#22573834C213yesmaximal, complemented
17#22573832C211yesmaximal, characteristic, complemented
18#22573825C211yesmaximal, characteristic, complemented
19#22573823C213yesmaximal, complemented
20#22573809C211yesmaximal, characteristic, complemented
21#22573805C213yesmaximal, complemented
22#22573803C213yesmaximal, complemented
23#22573799C211yesmaximal, characteristic, complemented
24#22573629C213yesmaximal, complemented
25#22573624C213yesmaximal, complemented
26#22573503C213yesmaximal, complemented
27#22573503C213yesmaximal, complemented
28#22573420C211yesmaximal, characteristic, complemented
29#22573418C211yesmaximal, characteristic, complemented
30C4×#41×D67C211yesmaximal, characteristic, complemented
31C67×#3524C211yesmaximal, characteristic, complemented
32C2×#14524091C2211yescharacteristic
33C2×#14524090C2211yescharacteristic
34C2×#41×D67C2211yescharacteristic
35#16864131C2213yescomplemented
36#16864130C2216yescomplemented
37#16864129C2216yescomplemented
38#16864129C2213yescomplemented
39#16864128C2213yescomplemented
40Q8×Dic134C2211yescharacteristic, complemented
41#16864126C2213yescomplemented
42#16864124C2213yescomplemented
43#16864123C2213yescomplemented
44#16864123C2213yescomplemented
45#16864122C2211yescharacteristic, complemented
46#16864122C2211yescharacteristic, complemented
47#16864120C2213yescomplemented
48#16864119C2213yescomplemented
49#16864118C2213yescomplemented
50#16864117C2213yescomplemented
51#16864115C2213yescomplemented
52#16864115C2216yescomplemented
53#16864114C2213yescomplemented
54#16864113C2216yescomplemented
55#16864113C2216yescomplemented
56#16864111C2213yescomplemented
57#16864110C2213yescomplemented
58#16864110C2213yescomplemented
59#16864109C2216yescomplemented
60#16864109C2213yescomplemented
61#16864109C2213yescomplemented
62#16864108C2216yescomplemented
63#16864108C2216yescomplemented
64#16864099C2213yescomplemented
65#16864099C2213yescomplemented
66#16864098C2213yescomplemented
67#16864096C2213yescomplemented
68#16864096C2213yescomplemented
69#16864095C2216yescomplemented
70#16864094C2213yescomplemented
71#16864092C2213yescomplemented
72#16864091C2216yescomplemented
73#16864091C2216yescomplemented
74#16864089C2216yescomplemented
75#16864086C2213yescomplemented
76#16864085C2213yescomplemented
77#16864080C2213yescomplemented
78#16864079C2216yescomplemented
79#16864078C2216yescomplemented
80#16864068C2211yescharacteristic
81#16864067C2213yes—
82#16864067C2213yescomplemented
83#16864066C2213yes—
84#16864066C2213yescomplemented
85#16864065C2211yescharacteristic
86#16864065C2211yescharacteristic
87#16864065C2211yescharacteristic, complemented
88#16864064C2213yes—
89#16864064C2213yes—
90#16864064C2213yescomplemented
91#16864064C2216yescomplemented
92Q8×C22⋊D67C2211yescharacteristic, complemented
93#16864059C2213yescomplemented
94#16864058C2211yescharacteristic
95#16864058C2211yescharacteristic, complemented
96#16864057C2211yescharacteristic
97#16864056C2213yes—
98#16864055C2213yes—
99#16864055C2213yescomplemented
100#16864054C2213yes—
101#16864054C2213yescomplemented
102#16864053C2211yescharacteristic
103#16864052C2213yes—
104#16864047C2213yescomplemented
105#16864046C2213yescomplemented
106#16864044C2216yescomplemented
107#16864026C2213yes—
108#16864023C2213yes—
109#16864018C2213yescomplemented
110#16864017C2213yescomplemented
111#16864016C2216yescomplemented
112#16864014C2216yescomplemented
113#16864011C2213yescomplemented
114#16864001C2213yescomplemented
115#16863998C2216yescomplemented
116#16863997C2213yescomplemented
117#16863997C2213yescomplemented
118#16863996C2216yescomplemented
119#16863985C2216yes—
120#16863982C2216yes—
121#16863980C2216yes—
122#16863978C2216yes—
123#16863976C2213yes—
124#16863975C2213yes—
125#16863964C2213yes—
126#16863962C2213yes—
127#16863962C2213yes—
128#16863959C2213yes—
129#16863952C2213yes—
130#16863952C2213yescomplemented
131#16863950C2213yes—
132#16863950C2213yescomplemented
133#16863948C2213yescomplemented
134#16863948C2213yescomplemented
135#16863947C2213yescomplemented
136#16863945C2213yes—
137#16863945C2213yescomplemented
138#16863945C2216yescomplemented
139#16863944C2213yescomplemented
140#16863943C2213yes—
141#16863943C2213yescomplemented
142#16863941C2213yescomplemented
143#16863941C2213yescomplemented
144#16863941C2213yescomplemented
145#16863941C2216yescomplemented
146#16863941C2213yescomplemented
147#16863932C2213yescomplemented
148#16863931C2213yes—
149#16863931C2213yescomplemented
150#16863931C2213yescomplemented
151#16863930C2213yescomplemented
152#16863930C2213yescomplemented
153#16863929C2211yescharacteristic
154#16863929C2213yes—
155#16863929C2216yescomplemented
156#16863929C2213yescomplemented
157#16863929C2216yescomplemented
158#16863929C2213yescomplemented
159#16863927C2213yescomplemented
160#16863925C2213yes—
161#16863925C2213yescomplemented
162#16863925C2213yescomplemented
163#16863924C2216yes—
164#16863924C2213yescomplemented
165#16863924C2213yescomplemented
166#16863923C2216yescomplemented
167#16863923C2216yescomplemented
168#16863923C2213yescomplemented
169#16863923C2213yescomplemented
170#16863909C2213yes—
171#16863909C2213yes—
172#16863906C2213yes—
173#16863906C2213yes—
174#16863905C2213yes—
175#16863905C2213yes—
176#16863905C2216yes—
177#16863904C2216yes—
178#16863904C2213yes—
179#16863904C2213yes—
180#16863878C2213yes—
181#16863878C2211yescharacteristic, complemented
182#16863877C2213yes—
183#16863876C2213yes—
184#16863876C2213yescomplemented
185#16863875C2213yes—
186#16863875C2213yescomplemented
187#16863873C2213yescomplemented
188#16863872C2211yescharacteristic
189#16863872C2211yescharacteristic
190#16863872C2213yescomplemented
191#16863872C2211yescharacteristic, complemented
192#41×Dic67C2211yescharacteristic
193#41×Dic67C2211yescharacteristic, complemented
194C4×#11761629C2213yes—
195C4×#11761629C2211yescharacteristic
196C4×#11761629C2211yescharacteristic
197C4×#11761629C2211yescharacteristic, complemented
198C4×#11761629C2213yescomplemented
199C4×#11761628C2213yes—
200#16863864C2213yes—
201#16863864C2213yes—
202#16863864C2213yes—
203#16863864C2213yescomplemented
204#16863864C2216yescomplemented
205C4×#11761627C2213yes—
206C4×#11761627C2213yes—
207C4×#11761627C2213yes—
208C4×#11761627C2213yescomplemented
209C4×#11761627C2213yescomplemented
210C4×#11761627C2213yescomplemented
211C4×#11761627C2213yescomplemented
212C4×#11761627C2216yescomplemented
213C2×Q8×Dic67C2211yescharacteristic, complemented
214C2×#14524008C2213yescomplemented
215C4×Q8×D67C2211yescharacteristic
216C4×Q8×D67C2211yescharacteristic
217C4×Q8×D67C2211yescharacteristic, complemented
218C4×Q8×D67C2213yescomplemented
219C4×D4×D67C2213yes—
220C4×D4×D67C2213yes—
221#117×D67C2213yes—
222C2×C42×D67C2213yes—
223#559×C67C2213yescomplemented
224#557×C67C2211yescharacteristic, complemented
225#555×C67C2213yescomplemented
226#553×C67C2213yescomplemented
227#552×C67C2213yescomplemented
228#550×C67C2211yescharacteristic
229#548×C67C2211yescharacteristic
230#548×C67C2211yescharacteristic, complemented
231#542×C67C2213yescomplemented
232#540×C67C2213yescomplemented
233#529×C67C2213yescomplemented
234#529×C67C2213yescomplemented
235#520×C67C2211yescharacteristic, complemented
236#519×C67C2211yescharacteristic, complemented
237C4×#41×C67C2211yescharacteristic
238#14524091—28no—
239#14524090—28no—
240C2×#11761629C2311yescharacteristic
241C2×#11761629C2311yescharacteristic
242C2×#11761629C2313yes—
243C2×#11761629C2313yes—
244C2×#11761628C2313yes—
245C2×#11761628C2313yes—
246C2×#11761628C2313yes—
247C2×#11761628C2313yes—
248C2×#11761628C2316yes—
249C2×#11761627C2313yes—
250C2×#11761627C2313yes—
251C2×#11761627C2313yes—
252C2×#11761627C2313yes—
253C2×#11761627C2313yes—
254C2×#11761627C2316yes—
255C2×#11761627C2313yes—
256#41×D67—28no—
257C22×Dic134C2313yes—
258C2×Q8×D67C2311yescharacteristic
259C2×Q8×D67C2313yes—
260C2×Q8×D67C2311yescharacteristic
261C2×D4×D67C2313yes—
262C22×C4×D67C2313yes—
263C22×C4×D67C2313yes—
264C22×C4×D67C2313yes—
265#14524043C2313yes—
266#14524042C2313yes—
267#14524042C2316yes—
268#14524042C2313yes—
269#14524042C2313yes—
270#14524042C2313yes—
271#14524042C2313yes—
272#14524042C2313yes—
273#14524041C2316yes—
274#14524041C2313yes—
275#14524041C2313yes—
276#14524040C2313yes—
277#14524039C2316yes—
278#14524039C2316yes—
279#14524039C2313yes—
280#14524039C2313yes—
281#14524039C2313yes—
282#14524039C2313yes—
283#14524038C2316yes—
284#14524038C2316yes—
285#14524038C2316yes—
286#14524038C2316yes—
287#14524038C2313yes—
288#14524038C2313yes—
289#14524037C2316yes—
290#14524037C2311yescharacteristic
291#14524037C2313yes—
292#14524036C2316yes—
293#14524036C2316yes—
294#14524036C2316yes—
295#14524036C2313yes—
296#14524036C2316yes—
297#14524036C2313yes—
298#14524035C2313yes—
299#14524035C2313yes—
300#14524035C2313yes—
301#14524034C2313yes—
302#14524034C2313yes—
303#14524033C2316yes—
304#14524033C2316yes—
305#14524033C2316yes—
306#14524033C2313yes—
307#14524033C2313yes—
308#14524033C2313yes—
309#14524033C2311yescharacteristic
310#14524032C2316yes—
311#14524032C2313yes—
312#14524031C2313yes—
313#14524031C2316yes—
314#14524031C2313yes—
315#14524031C2313yes—
316#14524030C2313yes—
317#14524030C2316yes—
318#14524029C2316yes—
319#14524029C2316yes—
320#14524029C2316yes—
321#14524029C2316yes—
322#14524029C2316yes—
323#14524029C2316yes—
324#14524029C2313yes—
325#14524029C2313yes—
326#14524029C2316yes—
327#14524029C2313yes—
328#14524029C2311yescharacteristic
329#14524028C2313yes—
330#14524028C2316yes—
331#14524028C2313yes—
332#14524028C2316yes—
333#14524028C2316yes—
334#14524028C2311yescharacteristic
335#14524028C2313yes—
336#14524027C2316yes—
337#14524026C2316yes—
338#14524026C2316yes—
339#14524026C2313yes—
340#14524026C2313yes—
341#14524025C2313yes—
342#14524025C2313yes—
343#14524025C2316yes—
344#14524025C2316yes—
345#14524025C2316yes—
346#14524025C2311yescharacteristic
347#14524025C2313yes—
348#14524024C2316yes—
349#14524023C2313yes—
350#14524023C2313yes—
351#14524023C2313yes—
352#14524022C2313yes—
353#14524022C2313yes—
354#14524022C2313yes—
355#14524021C2316yes—
356#14524021C2316yes—
357#14524021C2316yes—
358#14524021C2313yes—
359#14524021C2313yes—
360#14524021C2313yes—
361#14524021C2313yes—
362#14524021C2311yescharacteristic
363#14524021C2313yes—
364#14524020C2316yes—
365#14524020C2316yes—
366#14524020C2313yes—
367#14524020C2313yes—
368#14524019C2313yes—
369#14524019C2313yes—
370#14524019C2313yes—
371#14524018C2313yes—
372#14524018C2313yes—
373#14524018C2313yes—
374#14524018C2313yes—
375#14524018C2316yes—
376#14524018C2313yes—
377#14524017C2313yes—
378#14524017C2313yes—
379#14524017C2313yes—
380#14524017C2313yes—
381#14524017C2316yes—
382#14524017C2313yes—
383#14524016C2316yes—
384#14524016C2316yes—
385#14524016C2316yes—
386#14524016C2316yes—
387#14524016C2316yes—
388#14524016C2313yes—
389#14524016C2313yes—
390#14524016C2316yes—
391#14524016C2313yes—
392#14524016C2313yes—
393#14524016C2311yescharacteristic
394#14524016C2313yes—
395#14524016C2316yes—
396#14524015C2316yes—
397#14524015C2316yes—
398#14524015C2316yes—
399#14524015C2313yes—
400#14524015C2316yes—
401#14524015C2316yes—
402#14524015C2313yes—
403#14524015C2316yes—
404#14524014C2313yes—
405#14524014C2313yes—
406#14524014C2313yes—
407#14524014C2313yes—
408#14524014C2316yes—
409#14524014C2313yes—
410#14524013C2313yes—
411#14524013C2316yes—
412#14524013C2313yes—
413#14524011C2313yes—
414#14524011C2316yes—
415#14524011C2313yes—
416Q8×Dic67C2311yescharacteristic
417Q8×Dic67C2311yescharacteristic
418Q8×Dic67C2311yescharacteristic
419Q8×Dic67C2313yes—
420Q8×Dic67C2311yescharacteristic
421Q8×Dic67C2313yes—
422Q8×Dic67C2313yes—
423C4×Dic134C2313yes—
424C4×Dic134C2313yes—
425C4×Dic134C2313yes—
426C4×Dic134C2313yes—
427C4×Dic134C2313yes—
428C4×Dic134C2313yes—
429C4×Dic134C2316yes—
430C4×Dic134C2313yes—
431C4×Dic134C2316yes—
432C4×Dic134C2313yes—
433C4×Dic134C2313yes—
434#14524008C2313yes—
435#14524008C2313yes—
436#14524008C2313yes—
437#14524008C2313yes—
438#14524008C2313yes—
439#14524008C2316yes—
440#14524008C2316yes—
441#14524008C2313yes—
442#14524008C2313yes—
443#14524008C2313yes—
444#14524008C2313yes—
445#14524008C2313yes—
446#14524008C2313yes—
447#14524008C2311yescharacteristic
448#14524008C2313yes—
449#14524008C2316yes—
450C4×D268C2313yes—
451C4×D268C2313yes—
452C4×D268C2313yes—
453C4×D268C2313yes—
454C4×D268C2313yes—
455C4×D268C2313yes—
456C4×D268C2313yes—
457C4×D268C2316yes—
458D4×Dic67C2313yes—
459D4×Dic67C2316yes—
460D4×Dic67C2313yes—
461D4×Dic67C2313yes—
462D4×Dic67C2313yes—
463D4×Dic67C2313yes—
464D4×Dic67C2313yes—
465D4×Dic67C2313yes—
466#14524005C2313yes—
467#14524005C2316yes—
468#14524005C2313yes—
469#14524005C2313yes—
470#14524005C2313yes—
471#14524005C2313yes—
472#14524005C2313yes—
473#14524005C2311yescharacteristic
474#14524005C2313yes—
475#14524005C2313yes—
476#14524005C2313yes—
477#14524005C2313yes—
478#14524005C2316yes—
479C4×C22⋊D67C2316yes—
480C4×C22⋊D67C2313yes—
481C4×C22⋊D67C2313yes—
482C4×C22⋊D67C2313yes—
483C4×C22⋊D67C2313yes—
484C4×C22⋊D67C2313yes—
485C4×C22⋊D67C2313yes—
486C4×C22⋊D67C2316yes—
487C4×C22⋊D67C2316yes—
488C4×C22⋊D67C2316yes—
489C4×C22⋊D67C2316yes—
490C4×C22⋊D67C2316yes—
491(C22⋊D67)⋊C4C2316yes—
492(C22⋊D67)⋊C4C2316yes—
493(C22⋊D67)⋊C4C2316yes—
494(C22⋊D67)⋊C4C2316yes—
495(C22⋊D67)⋊C4C2316yes—
496(C22⋊D67)⋊C4C2316yes—
497(C22⋊D67)⋊C4C2313yes—
498(C22⋊D67)⋊C4C2313yes—
499(C22⋊D67)⋊C4C2316yes—
500(C22⋊D67)⋊C4C2313yes—
501(C22⋊D67)⋊C4C2311yescharacteristic
502(C22⋊D67)⋊C4C2313yes—
503(C22⋊D67)⋊C4C2313yes—
504(C22⋊D67)⋊C4C2313yes—
505(C22⋊D67)⋊C4C2313yes—
506(C22⋊D67)⋊C4C2311yescharacteristic
507(C22⋊D67)⋊C4C2313yes—
508(C22⋊D67)⋊C4C2313yes—
509(C22⋊D67)⋊C4C2313yes—
510(C22⋊D67)⋊C4C2313yes—
511(C22⋊D67)⋊C4C2313yes—
512(C22⋊D67)⋊C4C2316yes—
513#14524002C2313yes—
514#14524002C2313yes—
515#14524001C2316yes—
516#14524001C2313yes—
517#14524001C2313yes—
518#14524001C2313yes—
519#14524001C2313yes—
520#14524001C2313yes—
521#14524001C2313yes—
522#14524001C2313yes—
523#14524001C2313yes—
524#14524001C2313yes—
525#14524001C2313yes—
526#14524001C2311yescharacteristic
527#14524001C2313yes—
528#14524000C2313yes—
529#14524000C2313yes—
530#14524000C2313yes—
531#14524000C2313yes—
532#14524000C2316yes—
533#14524000C2316yes—
534#14524000C2316yes—
535#14524000C2316yes—
536#14523999C2316yes—
537#14523999C2313yes—
538#14523999C2313yes—
539#14523999C2316yes—
540#14523999C2316yes—
541#14523999C2313yes—
542#14523999C2313yes—
543#14523999C2311yescharacteristic
544#14523999C2313yes—
545#14523999C2316yes—
546C2×C4⋊Dic67C2313yes—
547C2×Dic67⋊C4C2316yes—
548C4⋊C4×D67C2313yes—
549C4⋊C4×D67C2316yes—
550C4⋊C4×D67C2313yes—
551C4⋊C4×D67C2313yes—
552C4⋊C4×D67C2313yes—
553C22⋊C4×D67C2316yes—
554C2×C4×Dic67C2313yes—
555C2×C4×Dic67C2313yes—
556C2×C4×Dic67C2313yes—
557C2×C4×Dic67C2316yes—
558C2×C4×Dic67C2313yes—
559C2×C4×Dic67C2313yes—
560C42×D67C2311yescharacteristic
561C42×D67C2313yes—
562C42×D67C2313yes—
563C42×D67C2313yes—
564C42×D67C2313yes—
565C42×D67C2313yes—
566C42×D67C2313yes—
567C42×D67C2313yes—
568C42×D67C2313yes—
569C42×D67C2313yes—
570C42×D67C2316yes—
571C2×#41×C67C2311yescharacteristic
572C2×#41×C67C2311yescharacteristic
573C22×Q8×C67C2311yescharacteristic
574C4⋊Q8×C67C2313yes—
575#127×C67C2313yes—
576#126×C67C2311yescharacteristic
577#126×C67C2313yes—
578#126×C67C2316yes—
579#125×C67C2313yes—
580#125×C67C2313yes—
581#125×C67C2313yes—
582#124×C67C2313yes—
583#124×C67C2313yes—
584#124×C67C2313yes—
585#124×C67C2316yes—
586#123×C67C2316yes—
587#123×C67C2316yes—
588#123×C67C2313yes—
589#123×C67C2313yes—
590C22⋊Q8×C67C2313yes—
591C22⋊Q8×C67C2313yes—
592C22⋊Q8×C67C2313yes—
593#121×C67C2313yes—
594#121×C67C2313yes—
595#121×C67C2313yes—
596#121×C67C2316yes—
597#121×C67C2313yes—
598#121×C67C2313yes—
599C4×Q8×C67C2313yes—
600C4×Q8×C67C2311yescharacteristic
601C4×Q8×C67C2311yescharacteristic
602C4×Q8×C67C2311yescharacteristic
603C4×Q8×C67C2311yescharacteristic
604C4×Q8×C67C2313yes—
605C4×Q8×C67C2313yes—
606C4×D4×C67C2313yes—
607C4×D4×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×C67C2313yes—
618#117×C67C2316yes—
619C2×C4⋊C4×C67C2313yes—
620C2×C42×C67C2313yes—
621C23×D67C2413yes—
622#11761629—24no—
623#11761629—24no—
624#11761629—212no—
625#11761629—46no—
626#11761628—212no—
627#11761628—212no—
628#11761628—212no—
629#11761628—212no—
630#11761628—412no—
631#11761627—212no—
632#11761627—212no—
633#11761627—212no—
634#11761627—46no—
635#11761627—46no—
636#11761627—46no—
637#11761627—412no—
638C2×Dic134—212no—
639C2×Dic134C2413yes—
640C2×Dic134C2413yes—
641C2×Dic134C2413yes—
642C2×Dic134C2413yes—
643C2×Dic134C2411yescharacteristic
644C2×Dic134C2416yes—
645C2×Dic134C2413yes—
646C2×Dic134C2413yes—
647Q8×D67—24no—
648Q8×D67—212no—
649Q8×D67#4118yescomplemented
650C2×D268C2411yescharacteristic
651C2×D268C2413yes—
652C2×D268C2413yes—
653C2×D268C2413yes—
654C2×D268C2416yes—
655C2×D268C2413yes—
656C2×D268C2413yes—
657C2×D268C2413yes—
658C2×C22⋊D67C2411yescharacteristic
659C2×C22⋊D67C2413yes—
660C2×C22⋊D67C2413yes—
661C2×C22⋊D67C2413yes—
662C2×C22⋊D67C2416yes—
663C2×C22⋊D67C2413yes—
664C2×C22⋊D67C2411yescharacteristic
665C2×C22⋊D67C2416yes—
666C2×C22⋊D67C2413yes—
667C2×C22⋊D67C2413yes—
668C2×C22⋊D67C2413yes—
669C2×C22⋊D67C2416yes—
670C2×C22⋊D67C2413yes—
671C2×C22⋊D67C2416yes—
672D4×D67—212no—
673C22×Dic67C2413yes—
674C22×Dic67C2411yescharacteristic
675C22×Dic67C2413yes—
676C22×Dic67C2413yes—
677C22×Dic67C2413yes—
678C22×Dic67C2416yes—
679C22×Dic67C2413yes—
680C22×Dic67C2413yes—
681C2×C4×D67—212no—
682C2×C4×D67—46no—
683C2×C4×D67—46no—
684C2×C4×D67C2411yescharacteristic
685C2×C4×D67C2411yescharacteristic
686C2×C4×D67C2411yescharacteristic
687C2×C4×D67C2411yescharacteristic
688C2×C4×D67C2413yes—
689C2×C4×D67C2413yes—
690C2×C4×D67C2413yes—
691C2×C4×D67C2413yes—
692C2×C4×D67C2413yes—
693C2×C4×D67C2416yes—
694C2×C4×D67C2413yes—
695C2×C4×D67C2413yes—
696C2×C4×D67C2413yes—
697C2×C4×D67C2413yes—
698C2×C4×D67C2413yes—
699C2×C4×D67C2413yes—
700C2×C4×D67C2416yes—
701C2×C4×D67C2413yes—
702C2×C4×D67C2413yes—
703C2×C4×D67C2413yes—
704C4⋊Dic67C2413yes—
705C4⋊Dic67C2413yes—
706C4⋊Dic67C2416yes—
707C4⋊Dic67C2413yes—
708C4⋊Dic67C2413yes—
709C4⋊Dic67C2413yes—
710C4⋊Dic67C2413yes—
711C4⋊Dic67C2413yes—
712C4⋊Dic67C2413yes—
713C4⋊Dic67C2411yescharacteristic
714C4⋊Dic67C2413yes—
715Dic67⋊C4C2416yes—
716Dic67⋊C4C2413yes—
717Dic67⋊C4C2413yes—
718Dic67⋊C4C2416yes—
719Dic67⋊C4C2416yes—
720Dic67⋊C4C2413yes—
721Dic67⋊C4C2413yes—
722Dic67⋊C4C2411yescharacteristic
723Dic67⋊C4C2411yescharacteristic
724Dic67⋊C4C2411yescharacteristic
725Dic67⋊C4C2413yes—
726Dic67⋊C4C2413yes—
727Dic67⋊C4C2413yes—
728Dic67⋊C4C2413yes—
729Dic67⋊C4C2413yes—
730Dic67⋊C4C2411yescharacteristic
731Dic67⋊C4C2413yes—
732Dic67⋊C4C2413yes—
733Dic67⋊C4C2413yes—
734Dic67⋊C4C2413yes—
735Dic67⋊C4C2416yes—
736Dic67⋊C4C2411yescharacteristic
737Dic67⋊C4C2416yes—
738Dic67⋊C4C2413yes—
739Dic67⋊C4C2411yescharacteristic
740Dic67⋊C4C2416yes—
741C22⋊Dic67C2416yes—
742C22⋊Dic67C2416yes—
743C22⋊Dic67C2413yes—
744C22⋊Dic67C2411yescharacteristic
745C22⋊Dic67C2413yes—
746C22⋊Dic67C2416yes—
747C22⋊Dic67C2413yes—
748C22⋊Dic67C2413yes—
749C22⋊Dic67C2413yes—
750(C2×D67)⋊C4C2416yes—
751(C2×D67)⋊C4C2416yes—
752(C2×D67)⋊C4C2411yescharacteristic
753(C2×D67)⋊C4C2411yescharacteristic
754(C2×D67)⋊C4C2411yescharacteristic
755(C2×D67)⋊C4C2413yes—
756(C2×D67)⋊C4C2413yes—
757(C2×D67)⋊C4C2413yes—
758(C2×D67)⋊C4C2413yes—
759(C2×D67)⋊C4C2413yes—
760(C2×D67)⋊C4C2416yes—
761(C2×D67)⋊C4C2413yes—
762(C2×D67)⋊C4C2416yes—
763(C2×D67)⋊C4C2416yes—
764(C2×D67)⋊C4C2416yes—
765(C2×D67)⋊C4C2411yescharacteristic
766(C2×D67)⋊C4C2413yes—
767(C2×D67)⋊C4C2413yes—
768(C2×D67)⋊C4C2413yes—
769(C2×D67)⋊C4C2413yes—
770(C2×D67)⋊C4C2413yes—
771(C2×D67)⋊C4C2413yes—
772(C2×D67)⋊C4C2411yescharacteristic
773(C2×D67)⋊C4C2411yescharacteristic
774(C2×D67)⋊C4C2413yes—
775(C2×D67)⋊C4C2413yes—
776C4×Dic67C2411yescharacteristic
777C4×Dic67C2413yes—
778C4×Dic67C2411yescharacteristic
779C4×Dic67C2413yes—
780C4×Dic67C2411yescharacteristic
781C4×Dic67C2411yescharacteristic
782C4×Dic67C2413yes—
783C4×Dic67C2413yes—
784C4×Dic67C2413yes—
785C4×Dic67C2413yes—
786C4×Dic67C2413yes—
787C4×Dic67C2413yes—
788C4×Dic67C2413yes—
789C4×Dic67C2413yes—
790C4×Dic67C2413yes—
791C4×Dic67C2413yes—
792C4×Dic67C2413yes—
793C4×Dic67C2416yes—
794C4×Dic67C2411yescharacteristic
795C4×Dic67C2413yes—
796C4×Dic67C2416yes—
797C4×Dic67C2413yes—
798C4×Dic67C2416yes—
799C4×Dic67C2413yes—
800C4×Dic67C2413yes—
801#41×C67—24no—
802#41×C67—24no—
803C2×Q8×C67—24no—
804C2×Q8×C67C2413yes—
805C2×Q8×C67C2413yes—
806C2×Q8×C67C2411yescharacteristic
807C2×D4×C67C2413yes—
808C2×D4×C67C2413yes—
809C2×D4×C67C2413yes—
810C2×D4×C67C2413yes—
811C2×D4×C67C2416yes—
812C2×D4×C67C2413yes—
813C22×C4×C67C2413yes—
814C22×C4×C67C2413yes—
815C22×C4×C67C2413yes—
816C22×C4×C67C2413yes—
817C22×C4×C67C2413yes—
818C22×C4×C67C2416yes—
819C4⋊C4×C67C2413yes—
820C4⋊C4×C67C2413yes—
821C4⋊C4×C67C2413yes—
822C4⋊C4×C67C2411yescharacteristic
823C4⋊C4×C67C2413yes—
824C4⋊C4×C67C2413yes—
825C4⋊C4×C67C2413yes—
826C4⋊C4×C67C2413yes—
827C4⋊C4×C67C2413yes—
828C4⋊C4×C67C2416yes—
829C4⋊C4×C67C2411yescharacteristic
830C4⋊C4×C67C2413yes—
831C4⋊C4×C67C2413yes—
832C4⋊C4×C67C2411yescharacteristic
833C4⋊C4×C67C2413yes—
834C22⋊C4×C67C2411yescharacteristic
835C22⋊C4×C67C2413yes—
836C22⋊C4×C67C2413yes—
837C22⋊C4×C67C2413yes—
838C22⋊C4×C67C2416yes—
839C22⋊C4×C67C2413yes—
840C22⋊C4×C67C2416yes—
841C22⋊C4×C67C2411yescharacteristic
842C22⋊C4×C67C2413yes—
843C22⋊C4×C67C2411yescharacteristic
844C22⋊C4×C67C2413yes—
845C22⋊C4×C67C2416yes—
846C22⋊C4×C67C2413yes—
847C42×C67C2411yescharacteristic
848C42×C67C2413yes—
849C42×C67C2413yes—
850C42×C67C2413yes—
851C42×C67C2416yes—
852C42×C67C2413yes—
853C42×C67C2413yes—
854C23×C67C2513yes—
855C23×C67C2513yes—
856C23×C67C2511yescharacteristic
857C22×D67—26no—
858C22×D67—43no—
859C22×D67—43no—
860C22×D67C2513yes—
861C22×D67C2513yes—
862C22×D67C2511yescharacteristic
863C22×D67C2511yescharacteristic
864Q8×C67—26no—
865Q8×C67—43no—
866Q8×C67C2×#4114yes—
867D4×C67—26no—
868D4×C67—26no—
869D4×C67—43no—
870D4×C67—43no—
871D4×C67—46no—
872D4×C67—43no—
873C2×C4×C67—26no—
874C2×C4×C67—26no—
875C2×C4×C67—26no—
876C2×C4×C67—43no—
877C2×C4×C67—43no—
878C2×C4×C67—46no—
879C2×C4×C67C2511yescharacteristic
880C2×C4×C67C2511yescharacteristic
881C2×C4×C67C2511yescharacteristic
882C2×C4×C67C2513yes—
883C2×C4×C67C2511yescharacteristic
884C2×C4×C67C2513yes—
885C2×C4×C67C2511yescharacteristic
886C2×C4×C67C2513yes—
887C2×C4×C67C2513yes—
888C2×C4×C67C2513yes—
889C2×C4×C67C2511yescharacteristic
890C2×C4×C67C2513yes—
891C22⋊D67—26no—
892C22⋊D67—22no—
893C22⋊D67—212no—
894C22⋊D67—26no—
895C22⋊D67—26no—
896C22⋊D67—22no—
897C22⋊D67—26no—
898C22⋊D67—43no—
899C22⋊D67—43no—
900C22⋊D67—43no—
901C22⋊D67—43no—
902C22⋊D67—46no—
903C22⋊D67—46no—
904C22⋊D67—46no—
905C2×Dic67—26no—
906C2×Dic67—212no—
907C2×Dic67—26no—
908C2×Dic67—26no—
909C2×Dic67—26no—
910C2×Dic67—22no—
911C2×Dic67—43no—
912C2×Dic67—43no—
913C2×Dic67C2511yescharacteristic
914C2×Dic67C2513yes—
915C2×Dic67C2511yescharacteristic
916C2×Dic67C2513yes—
917C2×Dic67C2513yes—
918C2×Dic67C2511yescharacteristic
919C2×Dic67C2511yescharacteristic
920C2×Dic67C2513yes—
921C2×Dic67C2513yes—
922C2×Dic67C2513yes—
923C2×Dic67C2511yescharacteristic
924C2×Dic67C2511yescharacteristic
925D268—22no—
926D268—26no—
927D268—26no—
928D268—26no—
929D268—46no—
930D268—43no—
931D268—43no—
932D268—43no—
933C4×D67—22no—
934C4×D67—26no—
935C4×D67—26no—
936C4×D67—26no—
937C4×D67—26no—
938C4×D67—212no—
939C4×D67—22no—
940C4×D67—22no—
941C4×D67—26no—
942C4×D67—26no—
943C4×D67—26no—
944C4×D67—22no—
945C4×D67—43no—
946C4×D67—43no—
947C4×D67—43no—
948C4×D67—43no—
949C4×D67—43no—
950C4×D67—43no—
951C4×D67—46no—
952C4×D67C2×#41112yes—
953Dic134—26no—
954Dic134—26no—
955Dic134—26no—
956Dic134—22no—
957Dic134—26no—
958Dic134—43no—
959Dic134—46no—
960Dic134C2×#41112yes—
961C22×C67—23no—
962C22×C67—23no—
963C22×C67—21no—
964C22×C67—23no—
965C22×C67—21no—
966C22×C67—23no—
967C22×C67—23no—
968C22×C67—21no—
969C22×C67—23no—
970C22×C67C2611yescharacteristic
971C2×D67—21no—
972C2×D67—21no—
973C2×D67—23no—
974C2×D67—21no—
975C2×D67—23no—
976C2×D67—23no—
977C2×D67—23no—
978C2×D67—21no—
979C2×D67—23no—
980C2×D67—23no—
981C2×D67—21no—
982C2×D67—412no—
983C2×D67C22×#4112yes—
984C4×C67—21no—
985C4×C67—23no—
986C4×C67—21no—
987C4×C67—21no—
988C4×C67—23no—
989C4×C67—23no—
990C4×C67—23no—
991C4×C67—21no—
992C4×C67—21no—
993C4×C67—23no—
994C4×C67—21no—
995C4×C67C22×#4116yes—
996Dic67—21no—
997Dic67—23no—
998Dic67—21no—
999Dic67—23no—
1000Dic67—21no—
1001Dic67—21no—
1002Dic67—23no—
1003Dic67—23no—
1004Dic67—23no—
1005Dic67C22×#4116yes—
1006Dic67#58512yes—
1007Dic67#58512yes—
1008#62793—671nomaximal, Sylow
1009C2×C67—43no—
1010C2×C67—43no—
1011C2×C67—41no—
1012C2×C67C23×#4111yescharacteristic
1013C2×C67C2×#58511yescharacteristic
1014C2×C67C2×#58511yescharacteristic
1015D67—22no—
1016D67—43no—
1017D67—41no—
1018D67—43no—
1019#3524—673no—
1020#3524—673no—
1021#3524—671no—
1022#3524D6711yescharacteristic, complemented
1023#3518—673no—
1024#3518—671no—
1025#3517—673no—
1026#3517—671no—
1027#3506—673no—
1028#3506—673no—
1029#3502—671no—
1030#3497—671no—
1031#3493—673no—
1032#3493—673no—
1033#3487—671no—
1034#3487—671no—
1035#3483—673no—
1036#3483—671no—
1037#3482—673no—
1038#3482—671no—
1039#3480—673no—
1040#3480—671no—
1041#3480—673no—
1042#3480—671no—
1043#3460—673no—
1044#3460—673no—
1045#3444—673no—
1046#3444—673no—
1047C4×2−1+4—671no—
1048C4×2−1+4—671no—
1049C2×C4×#41—671no—
1050C67#6279311yescharacteristic, complemented, Sylow
1051C2×2−1+4—671no—
1052C2×2−1+4—671no—
1053C22×#41—671no—
1054#559—673no—
1055#559—676no—
1056#559—673no—
1057#559—676no—
1058#559—673no—
1059#559C2×D6713yescomplemented
1060Q82—673no—
1061Q82—671no—
1062#557—673no—
1063#557—673no—
1064#557—671no—
1065#557—671no—
1066#557—673no—
1067#557C2×D6711yescharacteristic, complemented
1068#556—673no—
1069#556—676no—
1070#556—676no—
1071#556—676no—
1072#556—673no—
1073#556—673no—
1074#556—673no—
1075#556—673no—
1076#556—673no—
1077#555—676no—
1078#555—676no—
1079#555—673no—
1080#555—673no—
1081#555—673no—
1082#555—673no—
1083#555—676no—
1084#555—673no—
1085#555C2×D6713yescomplemented
1086#553—673no—
1087#553—673no—
1088#553—676no—
1089#553—676no—
1090#553—676no—
1091#553—673no—
1092#553—673no—
1093#553—676no—
1094#553—673no—
1095#553—673no—
1096#553—673no—
1097#553C2×D6713yescomplemented
1098#552—676no—
1099#552—673no—
1100#552—673no—
1101#552—676no—
1102#552—673no—
1103#552C2×D6713yescomplemented
1104#550—671no—
1105#550—671no—
1106#550—671no—
1107#550—673no—
1108#550—673no—
1109#550—673no—
1110#550—673no—
1111#550—673no—
1112#550—676no—
1113#550—671no—
1114#550—673no—
1115#550—673no—
1116#550C2×D6711yescharacteristic
1117D4×Q8—671no—
1118D4×Q8—673no—
1119#548—671no—
1120#548—671no—
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
1130#548C2×D6711yescharacteristic, complemented
1131#547—676no—
1132#547—673no—
1133#547—673no—
1134#544—673no—
1135#544—673no—
1136#542—676no—
1137#542—676no—
1138#542—673no—
1139#542—673no—
1140#542—673no—
1141#542C2×D6713yescomplemented
1142#540—676no—
1143#540—676no—
1144#540—673no—
1145#540—673no—
1146#540—673no—
1147#540C2×D6713yescomplemented
1148#538—676no—
1149#538—676no—
1150#538—676no—
1151#538—676no—
1152#537—673no—
1153#537—673no—
1154#535—673no—
1155#535—673no—
1156#535—673no—
1157#535—673no—
1158#533—673no—
1159#533—673no—
1160#533—673no—
1161#533—673no—
1162#533—673no—
1163#533—673no—
1164#532—673no—
1165#532—673no—
1166#532—673no—
1167#532—673no—
1168#532—676no—
1169#532—673no—
1170#532—673no—
1171#532—673no—
1172#532—673no—
1173#532—676no—
1174#532—673no—
1175#532—673no—
1176#529—671no—
1177#529—673no—
1178#529—676no—
1179#529—673no—
1180#529—673no—
1181#529—676no—
1182#529—673no—
1183#529—673no—
1184#529—673no—
1185#529—673no—
1186#529—673no—
1187#529—673no—
1188#529—673no—
1189#529—673no—
1190#529—676no—
1191#529—676no—
1192#529—673no—
1193#529—673no—
1194#529—676no—
1195#529—673no—
1196#529—673no—
1197#529—673no—
1198#529—673no—
1199#529C2×D6713yescomplemented
1200#529C2×D6713yescomplemented
1201#525—676no—
1202#525—673no—
1203#525—673no—
1204#525—673no—
1205#525—673no—
1206#525—673no—
1207#525—673no—
1208#525—673no—
1209#525—673no—
1210#525—676no—
1211#520—673no—
1212#520—671no—
1213#520—673no—
1214#520—673no—
1215#520—673no—
1216#520—673no—
1217#520—673no—
1218#520C2×D6711yescharacteristic, complemented
1219#519—671no—
1220#519—671no—
1221#519—673no—
1222#519—671no—
1223#519—673no—
1224#519C2×D6711yescharacteristic, complemented
1225C4×#41—671no—
1226C4×#41—671no—
1227C4×#41—671no—
1228C4×#41—671no—
1229C4×#41—673no—
1230C4×#41—671no—
1231C4×#41—673no—
1232C4×#41—673no—
1233C4×#41—673no—
1234C4×#41—673no—
1235C4×#41—673no—
1236C4×#41—673no—
1237C4×#41—676no—
1238C4×#41—673no—
1239C4×#41—673no—
1240C4×#41—673no—
1241C4×#41—673no—
1242C4×#41—673no—
1243C4×#41—673no—
1244C4×#41—676no—
1245C4×#41—673no—
1246C4×#41C2×D6711yescharacteristic
1247C2×C4×Q8—671no—
1248C2×C4×Q8—671no—
1249C2×C4×Q8—671no—
1250C2×C4×Q8—671no—
1251C2×C4×Q8—673no—
1252C2×C4×Q8—673no—
1253C2×C4×D4—673no—
1254C2×C4×D4—673no—
1255C2×#117—673no—
1256C22×C42—673no—
12572−1+4—1348no—
12582−1+4—1348no—
1259C2×#41—673no—
1260C2×#41—671no—
1261C2×#41—673no—
1262C2×#41—671no—
1263C2×#41—673no—
1264C2×#41—676no—
1265C2×#41—673no—
1266C2×#41—673no—
1267C2×#41—673no—
1268C2×#41—673no—
1269C2×#41—673no—
1270C2×#41—676no—
1271C2×#41—673no—
1272C2×#41—673no—
1273C2×#41—673no—
1274C2×#41—673no—
1275C2×#41—1348no—
1276C2×#41C22×D6711yescharacteristic
1277C2×#41C22×D6711yescharacteristic
1278C22×Q8—671no—
1279C22×Q8—673no—
1280C22×Q8—671no—
1281C22×Q8—673no—
1282C22×Q8C22×D6711yescharacteristic
1283C22×D4—673no—
1284C23×C4—673no—
1285C23×C4—673no—
1286C23×C4—673no—
1287C4⋊Q8—673no—
1288C4⋊Q8—673no—
1289C4⋊Q8—676no—
1290C4⋊Q8—673no—
1291C4⋊Q8—673no—
1292C4⋊Q8—673no—
1293C4⋊Q8—673no—
1294C4⋊Q8—676no—
1295C4⋊Q8—673no—
1296C4⋊Q8—673no—
1297C4⋊Q8—673no—
1298C4⋊Q8C22×D6713yes—
1299#127—673no—
1300#127—673no—
1301#127—673no—
1302#127—673no—
1303#127—676no—
1304#127—676no—
1305#127—673no—
1306#127C22×D6713yes—
1307#126—676no—
1308#126—673no—
1309#126—673no—
1310#126—676no—
1311#126—676no—
1312#126—676no—
1313#126—676no—
1314#126—673no—
1315#126—673no—
1316#126—676no—
1317#126—676no—
1318#126—676no—
1319#126—673no—
1320#126—671no—
1321#126—676no—
1322#126C22×D6711yescharacteristic
1323#126C22×D6713yes—
1324#126C22×D6716yes—
1325#125—673no—
1326#125—671no—
1327#125—676no—
1328#125—673no—
1329#125—673no—
1330#125—676no—
1331#125—676no—
1332#125—673no—
1333#125—673no—
1334#125—673no—
1335#125—673no—
1336#125—673no—
1337#125C22×D6713yes—
1338#125C22×D6713yes—
1339#125C22×D6713yes—
1340#124—673no—
1341#124—676no—
1342#124—673no—
1343#124—676no—
1344#124—673no—
1345#124—671no—
1346#124—673no—
1347#124—673no—
1348#124—676no—
1349#124—676no—
1350#124—676no—
1351#124—676no—
1352#124—676no—
1353#124—676no—
1354#124—676no—
1355#124—673no—
1356#124—673no—
1357#124—673no—
1358#124—676no—
1359#124C22×D6713yes—
1360#124C22×D6713yes—
1361#124C22×D6713yes—
1362#124C22×D6716yes—
1363#123—676no—
1364#123—676no—
1365#123—673no—
1366#123—673no—
1367#123—676no—
1368#123—671no—
1369#123—673no—
1370#123—673no—
1371#123—673no—
1372#123—676no—
1373#123—676no—
1374#123—676no—
1375#123—671no—
1376#123—673no—
1377#123—673no—
1378#123—673no—
1379#123—676no—
1380#123—676no—
1381#123—676no—
1382#123—676no—
1383#123C22×D6716yes—
1384#123C22×D6713yes—
1385#123C22×D6713yes—
1386#123C22×D6716yes—
1387C22⋊Q8—673no—
1388C22⋊Q8—673no—
1389C22⋊Q8—673no—
1390C22⋊Q8—673no—
1391C22⋊Q8—673no—
1392C22⋊Q8—673no—
1393C22⋊Q8—671no—
1394C22⋊Q8—673no—
1395C22⋊Q8—676no—
1396C22⋊Q8—673no—
1397C22⋊Q8—676no—
1398C22⋊Q8—673no—
1399C22⋊Q8—673no—
1400C22⋊Q8—673no—
1401C22⋊Q8—673no—
1402C22⋊Q8—673no—
1403C22⋊Q8—676no—
1404C22⋊Q8—673no—
1405C22⋊Q8—676no—
1406C22⋊Q8—673no—
1407C22⋊Q8—673no—
1408C22⋊Q8—676no—
1409C22⋊Q8C22×D6713yes—
1410C22⋊Q8C22×D6713yes—
1411C22⋊Q8C22×D6713yes—
1412#121—673no—
1413#121—673no—
1414#121—673no—
1415#121—673no—
1416#121—676no—
1417#121—673no—
1418#121—676no—
1419#121—673no—
1420#121—676no—
1421#121—673no—
1422#121—676no—
1423#121—676no—
1424#121—676no—
1425#121—676no—
1426#121—673no—
1427#121—673no—
1428#121—673no—
1429#121—673no—
1430#121—673no—
1431#121—676no—
1432#121—673no—
1433#121—673no—
1434#121—673no—
1435#121—673no—
1436#121—673no—
1437#121—676no—
1438#121—673no—
1439#121—671no—
1440#121—676no—
1441#121—676no—
1442#121—673no—
1443#121—673no—
1444#121—673no—
1445#121—673no—
1446#121—676no—
1447#121—676no—
1448#121—676no—
1449#121—676no—
1450#121—676no—
1451#121C22×D6713yes—
1452#121C22×D6713yes—
1453#121C22×D6713yes—
1454#121C22×D6713yes—
1455#121C22×D6713yes—
1456#121C22×D6716yes—
1457#120—676no—
1458#120—673no—
1459#120—673no—
1460#120—673no—
1461#120—673no—
1462#120—676no—
1463C4×Q8—671no—
1464C4×Q8—673no—
1465C4×Q8—671no—
1466C4×Q8—671no—
1467C4×Q8—673no—
1468C4×Q8—671no—
1469C4×Q8—673no—
1470C4×Q8—673no—
1471C4×Q8—673no—
1472C4×Q8—673no—
1473C4×Q8—673no—
1474C4×Q8—673no—
1475C4×Q8—673no—
1476C4×Q8—676no—
1477C4×Q8—673no—
1478C4×Q8—671no—
1479C4×Q8—673no—
1480C4×Q8—673no—
1481C4×Q8—673no—
1482C4×Q8—673no—
1483C4×Q8—676no—
1484C4×Q8—673no—
1485C4×Q8—676no—
1486C4×Q8—673no—
1487C4×Q8—673no—
1488C4×Q8—673no—
1489C4×Q8—673no—
1490C4×Q8—676no—
1491C4×Q8—673no—
1492C4×Q8—673no—
1493C4×Q8—673no—
1494C4×Q8—673no—
1495C4×Q8—676no—
1496C4×Q8—673no—
1497C4×Q8C22×D6711yescharacteristic
1498C4×Q8C22×D6711yescharacteristic
1499C4×Q8C22×D6711yescharacteristic
1500C4×Q8C22×D6713yes—
1501C4×Q8C22×D6713yes—
1502C4×Q8C22×D6711yescharacteristic
1503C4×Q8C22×D6713yes—
1504C4×D4—673no—
1505C4×D4—673no—
1506C4×D4—673no—
1507C4×D4—673no—
1508C4×D4—673no—
1509C4×D4—673no—
1510C4×D4—676no—
1511C4×D4—673no—
1512C4×D4—676no—
1513C4×D4—676no—
1514C4×D4—676no—
1515C4×D4—676no—
1516C4×D4—673no—
1517C4×D4—673no—
1518C4×D4—673no—
1519C4×D4—673no—
1520C4×D4—676no—
1521C4×D4—673no—
1522C4×D4—673no—
1523C4×D4—676no—
1524C4×D4—673no—
1525C4×D4—673no—
1526C4×D4—673no—
1527C4×D4—671no—
1528C4×D4—673no—
1529C4×D4—673no—
1530C4×D4—673no—
1531C4×D4—673no—
1532C4×D4—676no—
1533C4×D4—676no—
1534C4×D4—673no—
1535C4×D4—673no—
1536C4×D4—673no—
1537C4×D4—676no—
1538C4×D4—676no—
1539C4×D4—673no—
1540C4×D4—671no—
1541C4×D4—671no—
1542C4×D4—673no—
1543C4×D4—673no—
1544C4×D4—673no—
1545C4×D4—673no—
1546C4×D4—673no—
1547C4×D4—673no—
1548C4×D4—673no—
1549C4×D4—676no—
1550C4×D4—676no—
1551C4×D4—673no—
1552C4×D4—673no—
1553C4×D4—676no—
1554C4×D4—676no—
1555C4×D4—673no—
1556C4×D4—673no—
1557C4×D4—676no—
1558C4×D4—676no—
1559C4×D4—673no—
1560C4×D4—673no—
1561C4×D4—676no—
1562C4×D4—673no—
1563C4×D4—673no—
1564C4×D4—673no—
1565C4×D4—673no—
1566C4×D4—673no—
1567C4×D4C22×D6713yes—
1568C4×D4C22×D6713yes—
1569C4×D4C22×D6713yes—
1570C4×D4C22×D6713yes—
1571C4×D4C22×D6713yes—
1572C4×D4C22×D6713yes—
1573C4×D4C22×D6716yes—
1574C4×D4C22×D6713yes—
1575#117—673no—
1576#117—673no—
1577#117—673no—
1578#117—673no—
1579#117—671no—
1580#117—673no—
1581#117—673no—
1582#117—673no—
1583#117—676no—
1584#117—673no—
1585#117—673no—
1586#117—673no—
1587#117—673no—
1588#117—673no—
1589#117—673no—
1590#117—676no—
1591#117—673no—
1592#117—671no—
1593#117—676no—
1594#117—676no—
1595#117—676no—
1596#117—673no—
1597#117—673no—
1598#117—673no—
1599#117—673no—
1600#117—676no—
1601#117—673no—
1602#117—673no—
1603#117—673no—
1604#117—673no—
1605#117—676no—
1606#117—676no—
1607#117—676no—
1608#117C22×D6713yes—
1609#117C22×D6713yes—
1610#117C22×D6713yes—
1611#117C22×D6713yes—
1612#117C22×D6716yes—
1613C2×C4⋊C4—676no—
1614C2×C4⋊C4—673no—
1615C2×C4⋊C4—673no—
1616C2×C4⋊C4—673no—
1617C2×C4⋊C4—676no—
1618C2×C4⋊C4—673no—
1619C2×C4⋊C4—673no—
1620C2×C4⋊C4C22×D6713yes—
1621C2×C22⋊C4—676no—
1622C2×C42—673no—
1623C2×C42—673no—
1624C2×C42—676no—
1625C2×C42—673no—
1626C2×C42—673no—
1627C2×C42—673no—
1628C2×C42—673no—
1629C2×C42—673no—
1630C2×C42—673no—
1631C2×C42—673no—
1632C2×C42—673no—
1633C2×C42—676no—
1634C2×C42—673no—
1635C2×C42—673no—
1636C2×C42—673no—
1637C2×C42—673no—
1638C2×C42—671no—
1639C2×C42C22×D6713yes—
1640C24—673no—
1641#41—24no—
1642#41—24no—
1643#41—26812no—
1644#41—2686no—
1645#41—2686no—
1646#41—2686no—
1647#41—26812no—
1648#41—2686no—
1649#41—13412no—
1650#41—13412no—
1651#41—13412no—
1652#41—13412no—
1653#41—13412no—
1654#41—13412no—
1655#41—13412no—
1656#41—13412no—
1657#41—1344no—
1658#41—1344no—
1659C2×Q8—24no—
1660C2×Q8—678no—
1661C2×Q8—673no—
1662C2×Q8—676no—
1663C2×Q8—673no—
1664C2×Q8—673no—
1665C2×Q8—673no—
1666C2×Q8—673no—
1667C2×Q8—673no—
1668C2×Q8—671no—
1669C2×Q8—13412no—
1670C2×Q8—13412no—
1671C2×Q8—1344no—
1672C2×Q8C23×D6713yes—
1673C2×Q8C23×D6713yes—
1674C2×Q8C23×D6711yescharacteristic
1675C2×D4—676no—
1676C2×D4—673no—
1677C2×D4—673no—
1678C2×D4—673no—
1679C2×D4—673no—
1680C2×D4—676no—
1681C2×D4—676no—
1682C2×D4—673no—
1683C2×D4—671no—
1684C2×D4—676no—
1685C2×D4—671no—
1686C2×D4—673no—
1687C2×D4—673no—
1688C2×D4—673no—
1689C2×D4—676no—
1690C2×D4—673no—
1691C2×D4—673no—
1692C2×D4—673no—
1693C2×D4—671no—
1694C2×D4—673no—
1695C2×D4—673no—
1696C2×D4—673no—
1697C2×D4—13412no—
1698C2×D4C23×D6713yes—
1699C2×D4C23×D6713yes—
1700C2×D4C23×D6713yes—
1701C2×D4C23×D6716yes—
1702C2×D4C23×D6713yes—
1703C2×D4C23×D6713yes—
1704C22×C4—2686no—
1705C22×C4—2686no—
1706C22×C4—673no—
1707C22×C4—673no—
1708C22×C4—673no—
1709C22×C4—673no—
1710C22×C4—673no—
1711C22×C4—673no—
1712C22×C4—673no—
1713C22×C4—673no—
1714C22×C4—676no—
1715C22×C4—673no—
1716C22×C4—673no—
1717C22×C4—671no—
1718C22×C4—673no—
1719C22×C4—673no—
1720C22×C4—673no—
1721C22×C4—676no—
1722C22×C4—671no—
1723C22×C4—671no—
1724C22×C4—671no—
1725C22×C4—673no—
1726C22×C4—671no—
1727C22×C4—673no—
1728C22×C4—673no—
1729C22×C4—673no—
1730C22×C4—673no—
1731C22×C4—676no—
1732C22×C4—673no—
1733C22×C4—673no—
1734C22×C4—13412no—
1735C22×C4C23×D6713yes—
1736C22×C4C23×D6713yes—
1737C22×C4C23×D6713yes—
1738C22×C4C23×D6713yes—
1739C22×C4C23×D6713yes—
1740C22×C4C23×D6716yes—
1741C4⋊C4—676no—
1742C4⋊C4—673no—
1743C4⋊C4—673no—
1744C4⋊C4—673no—
1745C4⋊C4—673no—
1746C4⋊C4—676no—
1747C4⋊C4—673no—
1748C4⋊C4—673no—
1749C4⋊C4—676no—
1750C4⋊C4—676no—
1751C4⋊C4—673no—
1752C4⋊C4—671no—
1753C4⋊C4—673no—
1754C4⋊C4—671no—
1755C4⋊C4—673no—
1756C4⋊C4—673no—
1757C4⋊C4—673no—
1758C4⋊C4—673no—
1759C4⋊C4—671no—
1760C4⋊C4—673no—
1761C4⋊C4—673no—
1762C4⋊C4—671no—
1763C4⋊C4—671no—
1764C4⋊C4—673no—
1765C4⋊C4—673no—
1766C4⋊C4—671no—
1767C4⋊C4—673no—
1768C4⋊C4—671no—
1769C4⋊C4—676no—
1770C4⋊C4—673no—
1771C4⋊C4—673no—
1772C4⋊C4—673no—
1773C4⋊C4—673no—
1774C4⋊C4—676no—
1775C4⋊C4—673no—
1776C4⋊C4—676no—
1777C4⋊C4—673no—
1778C4⋊C4C23×D6713yes—
1779C4⋊C4C23×D6713yes—
1780C4⋊C4C23×D6713yes—
1781C4⋊C4C23×D6713yes—
1782C4⋊C4C23×D6713yes—
1783C4⋊C4C23×D6711yescharacteristic
1784C4⋊C4C23×D6713yes—
1785C4⋊C4C23×D6713yes—
1786C4⋊C4C23×D6713yes—
1787C4⋊C4C23×D6711yescharacteristic
1788C4⋊C4C23×D6713yes—
1789C4⋊C4C23×D6713yes—
1790C4⋊C4C23×D6713yes—
1791C4⋊C4C23×D6711yescharacteristic
1792C4⋊C4C23×D6716yes—
1793C22⋊C4—676no—
1794C22⋊C4—676no—
1795C22⋊C4—673no—
1796C22⋊C4—671no—
1797C22⋊C4—676no—
1798C22⋊C4—673no—
1799C22⋊C4—673no—
1800C22⋊C4—673no—
1801C22⋊C4—673no—
1802C22⋊C4—676no—
1803C22⋊C4—676no—
1804C22⋊C4—673no—
1805C22⋊C4—671no—
1806C22⋊C4—673no—
1807C22⋊C4—671no—
1808C22⋊C4—673no—
1809C22⋊C4—671no—
1810C22⋊C4—676no—
1811C22⋊C4—673no—
1812C22⋊C4—671no—
1813C22⋊C4—673no—
1814C22⋊C4—673no—
1815C22⋊C4—673no—
1816C22⋊C4—671no—
1817C22⋊C4—673no—
1818C22⋊C4—671no—
1819C22⋊C4—673no—
1820C22⋊C4—673no—
1821C22⋊C4—673no—
1822C22⋊C4—673no—
1823C22⋊C4—676no—
1824C22⋊C4—676no—
1825C22⋊C4—676no—
1826C22⋊C4—673no—
1827C22⋊C4—673no—
1828C22⋊C4C23×D6716yes—
1829C22⋊C4C23×D6711yescharacteristic
1830C22⋊C4C23×D6713yes—
1831C22⋊C4C23×D6713yes—
1832C22⋊C4C23×D6713yes—
1833C22⋊C4C23×D6713yes—
1834C22⋊C4C23×D6711yescharacteristic
1835C22⋊C4C23×D6713yes—
1836C22⋊C4C23×D6716yes—
1837C22⋊C4C23×D6713yes—
1838C22⋊C4C23×D6713yes—
1839C22⋊C4C23×D6711yescharacteristic
1840C22⋊C4C23×D6716yes—
1841C42—671no—
1842C42—673no—
1843C42—671no—
1844C42—673no—
1845C42—671no—
1846C42—673no—
1847C42—673no—
1848C42—671no—
1849C42—671no—
1850C42—673no—
1851C42—673no—
1852C42—673no—
1853C42—673no—
1854C42—673no—
1855C42—673no—
1856C42—673no—
1857C42—673no—
1858C42—673no—
1859C42—673no—
1860C42—673no—
1861C42—676no—
1862C42—676no—
1863C42—676no—
1864C42—673no—
1865C42—673no—
1866C42C23×D6711yescharacteristic
1867C42C23×D6713yes—
1868C42C23×D6713yes—
1869C42C23×D6713yes—
1870C42C23×D6716yes—
1871C42C23×D6713yes—
1872C42C23×D6713yes—
1873C23—2683no—
1874C23—2683no—
1875C23—671no—
1876C23—673no—
1877C23—671no—
1878C23—673no—
1879C23—1346no—
1880C23C24×D6713yes—
1881C23C24×D6711yescharacteristic
1882C23C24×D6713yes—
1883Q8—26no—
1884Q8—43no—
1885Q8—2683no—
1886Q8—2686no—
1887Q8—6712no—
1888Q8—1346no—
1889Q8—1346no—
1890Q8—1346no—
1891Q8—1342no—
1892Q8—1346no—
1893Q8#41×D6714yes—
1894D4—26no—
1895D4—26no—
1896D4—43no—
1897D4—43no—
1898D4—43no—
1899D4—46no—
1900D4—2686no—
1901D4—2683no—
1902D4—2683no—
1903D4—2683no—
1904D4—2686no—
1905D4—2683no—
1906D4—2683no—
1907D4—2686no—
1908D4—2686no—
1909D4—2683no—
1910D4—2683no—
1911D4—1342no—
1912D4—1346no—
1913D4—13412no—
1914D4—1346no—
1915D4—1342no—
1916D4—1346no—
1917D4—1346no—
1918D4—1342no—
1919D4—1346no—
1920D4—1346no—
1921D4—1346no—
1922C2×C4—26no—
1923C2×C4—26no—
1924C2×C4—26no—
1925C2×C4—43no—
1926C2×C4—43no—
1927C2×C4—46no—
1928C2×C4—2683no—
1929C2×C4—2683no—
1930C2×C4—2683no—
1931C2×C4—2683no—
1932C2×C4—2686no—
1933C2×C4—2683no—
1934C2×C4—2683no—
1935C2×C4—2683no—
1936C2×C4—2683no—
1937C2×C4—671no—
1938C2×C4—673no—
1939C2×C4—671no—
1940C2×C4—6712no—
1941C2×C4—671no—
1942C2×C4—673no—
1943C2×C4—673no—
1944C2×C4—671no—
1945C2×C4—673no—
1946C2×C4—671no—
1947C2×C4—673no—
1948C2×C4—673no—
1949C2×C4—671no—
1950C2×C4—1342no—
1951C2×C4—1342no—
1952C2×C4—1346no—
1953C2×C4—1346no—
1954C2×C4—1346no—
1955C2×C4—13412no—
1956C2×C4—1346no—
1957C2×C4—1342no—
1958C2×C4—1342no—
1959C2×C4—1346no—
1960C2×C4—1346no—
1961C2×C4—1346no—
1962C2×C4—13412no—
1963C2×C4—1346no—
1964C2×C4—1342no—
1965C2×C4—1346no—
1966C2×C4—1346no—
1967C2×C4—1346no—
1968C2×C4C24×D6711yescharacteristic
1969C2×C4C24×D6711yescharacteristic
1970C2×C4C24×D6713yes—
1971C2×C4C24×D6711yescharacteristic
1972C2×C4C24×D6711yescharacteristic
1973C2×C4C24×D6713yes—
1974C2×C4C24×D6711yescharacteristic
1975C2×C4C24×D6713yes—
1976C2×C4C24×D6713yes—
1977C2×C4C24×D6713yes—
1978C2×C4C24×D6711yescharacteristic
1979C2×C4C24×D6713yes—
1980C22—21no—
1981C22—23no—
1982C22—23no—
1983C22—23no—
1984C22—23no—
1985C22—23no—
1986C22—21no—
1987C22—21no—
1988C22—23no—
1989C22—26812no—
1990C22—672no—
1991C22—1343no—
1992C22—1341no—
1993C22—1343no—
1994C22—1343no—
1995C22—1341no—
1996C22—1343no—
1997C22—1343no—
1998C22—1341no—
1999C22—1343no—
2000C22—1341no—
2001C22—1341no—
2002C22C25×D6711yescharacteristic
2003C4—21no—
2004C4—21no—
2005C4—23no—
2006C4—21no—
2007C4—21no—
2008C4—23no—
2009C4—23no—
2010C4—23no—
2011C4—21no—
2012C4—23no—
2013C4—21no—
2014C4—676no—
2015C4—672no—
2016C4—672no—
2017C4—1341no—
2018C4—1343no—
2019C4—1341no—
2020C4—1343no—
2021C4—1343no—
2022C4—1341no—
2023C4—1343no—
2024C4—1343no—
2025C4—1341no—
2026C4C2×#41×D6716yes—
2027C2—43no—
2028C2—41no—
2029C2—43no—
2030C2—2683no—
2031C2—2683no—
2032C2—2681no—
2033C2—1342no—
2034C2C22×#41×D6711yescharacteristic
2035C2#585×D6711yescharacteristic
2036C2#585×D6711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D67
commutator, socle, cosocleC22×C67C26
FittingC67×#3524C2
hypercenter#3524D67
hypocenterC67#62793
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C22 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. #22574318C2semidirect
2. #22574314C2semidirect
3. #22574308C2semidirect
4. #22574222C2semidirect
5. #22574220C2semidirect
6. #22574211C2semidirect
7. #22574209C2semidirect
8. #22574057C2semidirect
9. #22574055C2semidirect
10. #22574016C2semidirect
11. #22573977C2semidirect
12. #22573927C2semidirect
13. #22573920C2semidirect
14. #22573866C2semidirect
15. #22573862C2semidirect
16. #22573834C2semidirect
17. #22573832C2semidirect
18. #22573825C2semidirect
19. #22573823C2semidirect
20. #22573809C2semidirect
21. #22573805C2semidirect
22. #22573803C2semidirect
23. #22573799C2semidirect
24. #22573629C2semidirect
25. #22573624C2semidirect
26. #22573503C2semidirect
27. #22573503C2semidirect
28. #22573420C2semidirect
29. #22573418C2semidirect
30. C4×#41×D67C2semidirect
31. C67×#3524C2semidirect
35. #16864131C22semidirect
36. #16864130C22semidirect
37. #16864129C22semidirect
38. #16864129C22semidirect
39. #16864128C22semidirect
40. Q8×Dic134C22semidirect
41. #16864126C22semidirect
42. #16864124C22semidirect
43. #16864123C22semidirect
44. #16864123C22semidirect
45. #16864122C22semidirect
46. #16864122C22semidirect
47. #16864120C22semidirect
48. #16864119C22semidirect
49. #16864118C22semidirect
50. #16864117C22semidirect
51. #16864115C22semidirect
52. #16864115C22semidirect
53. #16864114C22semidirect
54. #16864113C22semidirect
55. #16864113C22semidirect
56. #16864111C22semidirect
57. #16864110C22semidirect
58. #16864110C22semidirect
59. #16864109C22semidirect
60. #16864109C22semidirect
61. #16864109C22semidirect
62. #16864108C22semidirect
63. #16864108C22semidirect
64. #16864099C22semidirect
65. #16864099C22semidirect
66. #16864098C22semidirect
67. #16864096C22semidirect
68. #16864096C22semidirect
69. #16864095C22semidirect
70. #16864094C22semidirect
71. #16864092C22semidirect
72. #16864091C22semidirect
73. #16864091C22semidirect
74. #16864089C22semidirect
75. #16864086C22semidirect
76. #16864085C22semidirect
77. #16864080C22semidirect
78. #16864079C22semidirect
79. #16864078C22semidirect
82. #16864067C22semidirect
84. #16864066C22semidirect
87. #16864065C22semidirect
90. #16864064C22semidirect
91. #16864064C22semidirect
92. Q8×C22⋊D67C22semidirect
93. #16864059C22semidirect
95. #16864058C22semidirect
99. #16864055C22semidirect
101. #16864054C22semidirect
104. #16864047C22semidirect
105. #16864046C22semidirect
106. #16864044C22semidirect
109. #16864018C22semidirect
110. #16864017C22semidirect
111. #16864016C22semidirect
112. #16864014C22semidirect
113. #16864011C22semidirect
114. #16864001C22semidirect
115. #16863998C22semidirect
116. #16863997C22semidirect
117. #16863997C22semidirect
118. #16863996C22semidirect
130. #16863952C22semidirect
132. #16863950C22semidirect
133. #16863948C22semidirect
134. #16863948C22semidirect
135. #16863947C22semidirect
137. #16863945C22semidirect
138. #16863945C22semidirect
139. #16863944C22semidirect
141. #16863943C22semidirect
142. #16863941C22semidirect
143. #16863941C22semidirect
144. #16863941C22semidirect
145. #16863941C22semidirect
146. #16863941C22semidirect
147. #16863932C22semidirect
149. #16863931C22semidirect
150. #16863931C22semidirect
151. #16863930C22semidirect
152. #16863930C22semidirect
155. #16863929C22semidirect
156. #16863929C22semidirect
157. #16863929C22semidirect
158. #16863929C22semidirect
159. #16863927C22semidirect
161. #16863925C22semidirect
162. #16863925C22semidirect
164. #16863924C22semidirect
165. #16863924C22semidirect
166. #16863923C22semidirect
167. #16863923C22semidirect
168. #16863923C22semidirect
169. #16863923C22semidirect
181. #16863878C22semidirect
184. #16863876C22semidirect
186. #16863875C22semidirect
187. #16863873C22semidirect
190. #16863872C22semidirect
191. #16863872C22semidirect
193. #41×Dic67C22semidirect
197. C4×#11761629C22semidirect
198. C4×#11761629C22semidirect
203. #16863864C22semidirect
204. #16863864C22semidirect
208. C4×#11761627C22semidirect
209. C4×#11761627C22semidirect
210. C4×#11761627C22semidirect
211. C4×#11761627C22semidirect
212. C4×#11761627C22semidirect
213. C2×Q8×Dic67C22semidirect
214. C2×#14524008C22semidirect
217. C4×Q8×D67C22semidirect
218. C4×Q8×D67C22semidirect
223. #559×C67C22semidirect
224. #557×C67C22semidirect
225. #555×C67C22semidirect
226. #553×C67C22semidirect
227. #552×C67C22semidirect
230. #548×C67C22semidirect
231. #542×C67C22semidirect
232. #540×C67C22semidirect
233. #529×C67C22semidirect
234. #529×C67C22semidirect
235. #520×C67C22semidirect
236. #519×C67C22semidirect
649. Q8×D67#41semidirect
1022. #3524D67semidirect
1050. C67#62793semidirect
1059. #559C2×D67semidirect
1067. #557C2×D67semidirect
1085. #555C2×D67semidirect
1097. #553C2×D67semidirect
1103. #552C2×D67semidirect
1130. #548C2×D67semidirect
1141. #542C2×D67semidirect
1147. #540C2×D67semidirect
1199. #529C2×D67semidirect
1200. #529C2×D67semidirect
1218. #520C2×D67semidirect
1224. #519C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225743182
#225743142
#225743082
#225742222
#225742202
#225742112
#225742092
#225740572
#225740552
#225740162
#225739772
#225739272
#225739202
#225738662
#225738622
#225738342
#225738322
#225738252
#225738232
#225738092
#225738052
#225738032
#225737992
#225736292
#225736242
#225735032
#225734202
#225734182
C4×#41×D672
C67×#35242
#6279367