Finite Group Databasebeta

← #31736617

Subgroups — #31736617

Order 17152.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574023C211yesmaximal, characteristic, complemented
2#22574008C211yesmaximal, characteristic, complemented
3#22573168C211yesmaximal, characteristic, complemented
4#22573166C211yesmaximal, characteristic, complemented
5#22573163C211yesmaximal, characteristic, complemented
6#22573127C211yesmaximal, characteristic, complemented
7#22573125C211yesmaximal, characteristic, complemented
8#22573121C211yesmaximal, characteristic, complemented
9#22573119C211yesmaximal, characteristic, complemented
10#22573116C211yesmaximal, characteristic, complemented
11#22573114C211yesmaximal, characteristic, complemented
12#22573111C211yesmaximal, characteristic, complemented
13#22573109C211yesmaximal, characteristic, complemented
14#22573081C211yesmaximal, characteristic, complemented
15#22573079C211yesmaximal, characteristic, complemented
16D8×Dic134C211yesmaximal, characteristic, complemented
17#22573059C211yesmaximal, characteristic, complemented
18#22570754C211yesmaximal, characteristic, complemented
19#22570746C211yesmaximal, characteristic, complemented
20#22570744C211yesmaximal, characteristic, complemented
21#22570061C211yesmaximal, characteristic, complemented
22#22570055C211yesmaximal, characteristic, complemented
23#22570039C211yesmaximal, characteristic, complemented
24#22570037C211yesmaximal, characteristic, complemented
25#22569994C211yesmaximal, characteristic, complemented
26#474×D67C211yesmaximal, characteristic, complemented
27#22569154C211yesmaximal, characteristic, complemented
28#22569038C211yesmaximal, characteristic
29#22569034C211yesmaximal, characteristic
30#22569020C211yesmaximal, characteristic
31C67×#3389C211yesmaximal, characteristic, complemented
32C2×#14524067C2211yescharacteristic
33Q8×Dic134C2211yescharacteristic, complemented
34#16864126C2211yescharacteristic, complemented
35#16864123C2211yescharacteristic, complemented
36#16864123C2211yescharacteristic, complemented
37#16864106C2211yescharacteristic
38#16864105C2211yescharacteristic
39#16864105C2211yescharacteristic
40#16864104—21no—
41#16864103C2211yescharacteristic, complemented
42#16864102C2211yescharacteristic
43#16864102C2211yescharacteristic
44#16864101—21no—
45#16864101—21no—
46#16864100—21no—
47#16864100—21no—
48D4×Dic134C2211yescharacteristic
49D4×Dic134C2211yescharacteristic, complemented
50D4×Dic134C2211yescharacteristic, complemented
51#16864061C2211yescharacteristic
52#16864059—21no—
53#16864059—21no—
54#16864059—21no—
55#16864026C2211yescharacteristic
56#16864026C2211yescharacteristic
57#16864026C2211yescharacteristic
58#16864025—21no—
59#16864025—21no—
60#16864023C2211yescharacteristic
61#16864021—21no—
62#16864021—21no—
63#16863952C2211yescharacteristic
64#16863950C2211yescharacteristic
65#16863948—21no—
66C2×#14524042—21no—
67C4⋊Q8×D67C2211yescharacteristic
68C2×#14524021—21no—
69C22⋊Q8×D67—21no—
70#16863875C2211yescharacteristic
71#16863875C2211yescharacteristic
72#16863868C2211yescharacteristic
73#16863868C2211yescharacteristic
74C4×#11761627C2211yescharacteristic
75C4×D4×D67C2211yescharacteristic
76#16863806C2211yescharacteristic, complemented
77#16863806C2211yescharacteristic, complemented
78#16863806C2211yescharacteristic, complemented
79#16863805C2211yescharacteristic, complemented
80#16863805C2211yescharacteristic, complemented
81#16863804C2211yescharacteristic, complemented
82#16863803C2211yescharacteristic, complemented
83#16863803C2211yescharacteristic, complemented
84#16863803C2211yescharacteristic, complemented
85#16863802C2211yescharacteristic, complemented
86#16863801C2211yescharacteristic, complemented
87#16863800C2211yescharacteristic, complemented
88#16863800C2211yescharacteristic, complemented
89#16863800C2211yescharacteristic, complemented
90#16863800C2211yescharacteristic, complemented
91#16863799C2211yescharacteristic, complemented
92#16863797C2211yescharacteristic, complemented
93#16863796C2211yescharacteristic, complemented
94#16863795C2211yescharacteristic, complemented
95#16863793C2211yescharacteristic, complemented
96#16863793C2211yescharacteristic, complemented
97#16863706C2211yescharacteristic, complemented
98#16863704C2211yescharacteristic, complemented
99#16863704C2211yescharacteristic, complemented
100#16863702C2211yescharacteristic, complemented
101#16863700C2211yescharacteristic, complemented
102#16863700C2211yescharacteristic, complemented
103#16863699C2211yescharacteristic
104#16863698C2211yescharacteristic
105#16863698C2211yescharacteristic, complemented
106#16863696C2211yescharacteristic, complemented
107#16863696C2211yescharacteristic, complemented
108#16863695C2211yescharacteristic
109#16863694C2211yescharacteristic
110#16863694C2211yescharacteristic, complemented
111#16863693C2211yescharacteristic
112#16863693C2211yescharacteristic
113#16863692C2211yescharacteristic, complemented
114#16863690C2211yescharacteristic, complemented
115#16863690C2211yescharacteristic, complemented
116#16863690C2211yescharacteristic, complemented
117#16863688C2211yescharacteristic, complemented
118#16863687C2211yescharacteristic
119#16863686C2211yescharacteristic
120#16863685C2211yescharacteristic
121#16863684C2211yescharacteristic
122#16863684C2211yescharacteristic, complemented
123#16863680C2211yescharacteristic, complemented
124#16863677C2211yescharacteristic
125#16863677C2211yescharacteristic
126#16863676C2211yescharacteristic
127#16863676C2211yescharacteristic
128#16863676C2211yescharacteristic, complemented
129#16863675C2211yescharacteristic
130#16863675C2211yescharacteristic
131#16863675C2211yescharacteristic
132#16863674C2211yescharacteristic
133#16863674C2211yescharacteristic
134#16863674C2211yescharacteristic
135#16863674C2211yescharacteristic, complemented
136#16863674C2211yescharacteristic, complemented
137#16863674C2211yescharacteristic, complemented
138#16863673C2211yescharacteristic
139#16863527C2211yescharacteristic, complemented
140#16863525C2211yescharacteristic, complemented
141#16863525C2211yescharacteristic, complemented
142#16863524C2211yescharacteristic, complemented
143#16863524C2211yescharacteristic, complemented
144C8×Dic134C2211yescharacteristic, complemented
145#16863520C2211yescharacteristic, complemented
146#16863508C2211yescharacteristic
147#16863506C2211yescharacteristic
148#16863506C2211yescharacteristic
149#16863505C2211yescharacteristic
150#16863498C2211yescharacteristic
151#16863498C2211yescharacteristic
152#16863496C2211yescharacteristic
153#16863496C2211yescharacteristic
154#16863495C2211yescharacteristic
155#16863493C2211yescharacteristic
156#16863487C2211yescharacteristic
157#16863487C2211yescharacteristic
158C4×#11761617C2211yescharacteristic
159#16863483C2211yescharacteristic
160#16863483C2211yescharacteristic
161C4×#11761616C2211yescharacteristic
162D8×Dic67C2211yescharacteristic
163D8×Dic67C2211yescharacteristic
164C4×#11761613C2211yescharacteristic
165#16863476C2211yescharacteristic
166#16863476C2211yescharacteristic
167#16863437C2211yescharacteristic
168#16863437C2211yescharacteristic
169#16863435C2211yescharacteristic
170#16863435C2211yescharacteristic
171#16863435C2211yescharacteristic
172#16863433C2211yescharacteristic
173#16863431C2211yescharacteristic
174#107×D67C2211yescharacteristic
175#107×D67C2211yescharacteristic
176#16863421C2211yescharacteristic
177#16863421C2211yescharacteristic
178C4⋊C8×D67C2211yescharacteristic
179#16863399C2211yescharacteristic
180#16863394C2211yescharacteristic
181#16863389C2211yescharacteristic
182#16863389C2211yescharacteristic
183#102×D67C2211yescharacteristic
184#102×D67C2211yescharacteristic
185#16863353C2211yescharacteristic
186#16863350C2211yescharacteristic
187#16863348C2211yescharacteristic
188#554×C67C2211yescharacteristic
189#554×C67C2211yescharacteristic, complemented
190#501×C67C2211yescharacteristic, complemented
191#501×C67C2211yescharacteristic, complemented
192#499×C67C2211yescharacteristic, complemented
193#478×C67C2211yescharacteristic
194#478×C67C2211yescharacteristic
195#478×C67C2211yescharacteristic, complemented
196#478×C67C2211yescharacteristic, complemented
197#474×C67C2211yescharacteristic
198#474×C67C2211yescharacteristic, complemented
199#446×C67C2211yescharacteristic, complemented
200#442×C67C2211yescharacteristic
201#442×C67C2211yescharacteristic
202C4×D8×C67C2211yescharacteristic
203C2×#11761627C2311yescharacteristic
204C22×Dic134—21no—
205C22×Dic134—21no—
206C22×Dic134—21no—
207C2×Q8×D67—21no—
208C2×Q8×D67—21no—
209C2×D4×D67C2311yescharacteristic
210C22×C4×D67—21no—
211#14524067Q818yescomplemented
212C2×#11761617C2311yescharacteristic
213C2×#11761616C2311yescharacteristic
214C2×#11761613C2311yescharacteristic
215C2×#11761611C2311yescharacteristic
216C2×#11761611C2311yescharacteristic
217C2×C8×D67C2311yescharacteristic
218C2×C8×D67C2311yescharacteristic
219#14524043C2311yescharacteristic
220#14524043C2311yescharacteristic
221#14524043C2311yescharacteristic
222#14524043C2311yescharacteristic
223#14524042—21no—
224#14524042—21no—
225#14524042—21no—
226#14524042—21no—
227#14524042—21no—
228#14524042—21no—
229#14524042—21no—
230#14524042—21no—
231#14524042—21no—
232#14524042—21no—
233#14524042D411yescharacteristic
234#14524042C2311yescharacteristic
235#14524042C2311yescharacteristic
236#14524042C2311yescharacteristic
237#14524042C2311yescharacteristic
238#14524042C2311yescharacteristic
239#14524042C2311yescharacteristic
240#14524042C2311yescharacteristic
241#14524042C2311yescharacteristic
242#14524041—21no—
243#14524041—21no—
244#14524041—21no—
245#14524041—21no—
246#14524041D411yescharacteristic
247#14524035C2311yescharacteristic
248#14524035C2311yescharacteristic
249#14524034C2311yescharacteristic
250#14524034C2311yescharacteristic
251#14524034C2311yescharacteristic
252#14524034C2311yescharacteristic
253#14524033—21no—
254#14524033—21no—
255#14524033—21no—
256#14524033—21no—
257#14524033—21no—
258#14524033—21no—
259#14524033—21no—
260#14524033—21no—
261#14524033D411yescharacteristic
262#14524033D411yescharacteristic
263#14524023—21no—
264#14524023—21no—
265#14524023—21no—
266#14524023—21no—
267#14524023—21no—
268#14524023D411yescharacteristic
269#14524022—21no—
270#14524022—21no—
271#14524022—21no—
272#14524022—21no—
273#14524022—21no—
274#14524022—21no—
275#14524021—21no—
276#14524021—21no—
277#14524021—21no—
278#14524021—21no—
279#14524021—21no—
280#14524021—21no—
281#14524021—21no—
282#14524021—21no—
283#14524021—21no—
284#14524021—21no—
285#14524021—21no—
286#14524021—21no—
287#14524021—21no—
288#14524021—21no—
289#14524021D411yescharacteristic
290#14524021D411yescharacteristic
291#14524020—21no—
292#14524020—21no—
293#14524020—21no—
294#14524020—21no—
295#14524020—21no—
296#14524020—21no—
297#14524020—21no—
298#14524020—21no—
299#14524020—21no—
300#14524020—21no—
301#14524020—21no—
302#14524020—21no—
303#14524019—21no—
304#14524019—21no—
305#14524019—21no—
306#14524019D411yescharacteristic
307Q8×Dic67—21no—
308C4×Dic134C2311yescharacteristic
309C4×Dic134C2311yescharacteristic
310C4×Dic134C2311yescharacteristic
311C4×Dic134C2311yescharacteristic
312C4×Dic134C2311yescharacteristic
313C4×Dic134C2311yescharacteristic
314#14524008—21no—
315#14524008—21no—
316#14524008—21no—
317#14524008—21no—
318#14524008—21no—
319#14524008C2311yescharacteristic
320#14524008C2311yescharacteristic
321#14524008C2311yescharacteristic
322C4×D268C2311yescharacteristic
323C4×D268C2311yescharacteristic
324C4×D268C2311yescharacteristic
325D4×Dic67C2311yescharacteristic
326D4×Dic67C2311yescharacteristic
327D4×Dic67C2311yescharacteristic
328D4×Dic67C2311yescharacteristic
329D4×Dic67C2311yescharacteristic
330D4×Dic67C2311yescharacteristic
331#14524005C2311yescharacteristic
332#14524005C2311yescharacteristic
333#14524005C2311yescharacteristic
334C4×C22⋊D67—21no—
335C4×C22⋊D67—21no—
336C4×C22⋊D67—21no—
337C4×C22⋊D67—21no—
338C4×C22⋊D67—21no—
339C4×C22⋊D67—21no—
340(C22⋊D67)⋊C4—21no—
341(C22⋊D67)⋊C4—21no—
342(C22⋊D67)⋊C4—21no—
343(C22⋊D67)⋊C4—21no—
344(C22⋊D67)⋊C4—21no—
345(C22⋊D67)⋊C4—21no—
346#14524001C2311yescharacteristic
347#14524001C2311yescharacteristic
348#14524001C2311yescharacteristic
349#14524000C2311yescharacteristic
350#14524000C2311yescharacteristic
351#14523999—21no—
352#14523999—21no—
353#14523999—21no—
354C2×C4⋊Dic67—21no—
355C2×Dic67⋊C4—21no—
356C2×Dic67⋊C4—21no—
357C2×Dic67⋊C4—21no—
358C2×Dic67⋊C4—21no—
359C4⋊C4×D67—21no—
360C4⋊C4×D67—21no—
361C4⋊C4×D67—21no—
362C4⋊C4×D67—21no—
363C4⋊C4×D67C2311yescharacteristic
364C4⋊C4×D67C2311yescharacteristic
365C4⋊C4×D67C2311yescharacteristic
366C2×(C2×D67)⋊C4—21no—
367C2×(C2×D67)⋊C4—21no—
368C22⋊C4×D67—21no—
369C22⋊C4×D67—21no—
370C22⋊C4×D67—21no—
371C2×C4×Dic67—21no—
372C42×D67C2311yescharacteristic
373#14523977C2311yescharacteristic
374#14523977C2311yescharacteristic
375#14523977C2311yescharacteristic
376#14523977C2311yescharacteristic
377#14523977C2311yescharacteristic
378#14523977C2311yescharacteristic
379#14523976C2311yescharacteristic
380#14523976C2311yescharacteristic
381#14523976C2311yescharacteristic
382#14523976C2311yescharacteristic
383#14523976C2311yescharacteristic
384#14523976C2311yescharacteristic
385#14523976C2311yescharacteristic
386#14523976C2311yescharacteristic
387#14523976C2311yescharacteristic
388#14523976C2311yescharacteristic
389#14523976C2311yescharacteristic
390#14523975C2311yescharacteristic
391#14523975C2311yescharacteristic
392#14523975C2311yescharacteristic
393#14523974C2311yescharacteristic
394#14523974C2311yescharacteristic
395#14523974C2311yescharacteristic
396#14523974C2311yescharacteristic
397#14523974C2311yescharacteristic
398#14523974C2311yescharacteristic
399#14523974C2311yescharacteristic
400C4⋊(C67⋊C8)C2311yescharacteristic
401C4⋊(C67⋊C8)C2311yescharacteristic
402C4⋊(C67⋊C8)C2311yescharacteristic
403Dic67⋊C8C2311yescharacteristic
404Dic67⋊C8C2311yescharacteristic
405Dic67⋊C8C2311yescharacteristic
406Dic67⋊C8C2311yescharacteristic
407Dic67⋊C8C2311yescharacteristic
408Dic67⋊C8C2311yescharacteristic
409#14523968C2311yescharacteristic
410#14523968C2311yescharacteristic
411#14523968C2311yescharacteristic
412#14523966C2311yescharacteristic
413#14523966C2311yescharacteristic
414#14523966C2311yescharacteristic
415#14523965C2311yescharacteristic
416#14523965C2311yescharacteristic
417#14523965C2311yescharacteristic
418#14523964C2311yescharacteristic
419#14523964C2311yescharacteristic
420#14523964C2311yescharacteristic
421#14523964C2311yescharacteristic
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic
424#14523963C2311yescharacteristic
425#14523963C2311yescharacteristic
426#14523963C2311yescharacteristic
427#14523954C2311yescharacteristic
428#14523954C2311yescharacteristic
429#14523953C2311yescharacteristic
430#14523953C2311yescharacteristic
431C4×C67⋊C8C2311yescharacteristic
432C8×Dic67C2311yescharacteristic
433C8×Dic67C2311yescharacteristic
434C8×Dic67C2311yescharacteristic
435C8×Dic67C2311yescharacteristic
436C2×D8×C67C2311yescharacteristic
437C4⋊Q8×C67C2311yescharacteristic
438C4⋊Q8×C67C2311yescharacteristic
439#125×C67C2311yescharacteristic
440#125×C67C2311yescharacteristic
441#125×C67C2311yescharacteristic
442#125×C67C2311yescharacteristic
443C22⋊Q8×C67—21no—
444C22⋊Q8×C67—21no—
445C22⋊Q8×C67—21no—
446C22⋊Q8×C67—21no—
447C22⋊Q8×C67—21no—
448C22⋊Q8×C67—21no—
449C4×Q8×C67C2311yescharacteristic
450C4×D4×C67C2311yescharacteristic
451C4×D4×C67C2311yescharacteristic
452C4×D4×C67C2311yescharacteristic
453C4×D4×C67C2311yescharacteristic
454C4×D4×C67C2311yescharacteristic
455C4×D4×C67C2311yescharacteristic
456C2×C4⋊C4×C67—21no—
457C2×C4⋊C4×C67—21no—
458#107×C67C2311yescharacteristic
459#107×C67C2311yescharacteristic
460#107×C67C2311yescharacteristic
461#107×C67C2311yescharacteristic
462#107×C67C2311yescharacteristic
463#106×C67C2311yescharacteristic
464#106×C67C2311yescharacteristic
465#106×C67C2311yescharacteristic
466#106×C67C2311yescharacteristic
467C4⋊C8×C67C2311yescharacteristic
468C4⋊C8×C67C2311yescharacteristic
469C4⋊C8×C67C2311yescharacteristic
470#102×C67C2311yescharacteristic
471#102×C67C2311yescharacteristic
472#102×C67C2311yescharacteristic
473#102×C67C2311yescharacteristic
474#102×C67C2311yescharacteristic
475#102×C67C2311yescharacteristic
476#97×C67C2311yescharacteristic
477#97×C67C2311yescharacteristic
478C4×C8×C67C2311yescharacteristic
479C23×D67—21no—
480#11761627—22no—
481#11761627C2×Q814yescomplemented
482C2×Dic134—21no—
483C2×Dic134—21no—
484C2×Dic134—21no—
485C2×Dic134—21no—
486C2×Dic134—21no—
487C2×Dic134—21no—
488C2×Dic134—21no—
489C2×Dic134—21no—
490C2×Dic134—21no—
491C2×Dic134—21no—
492C2×Dic134—21no—
493C2×Dic134—21no—
494C2×Dic134—82no—
495C2×Dic134—82no—
496C2×Dic134—82no—
497C2×Dic134C2×D411yescharacteristic
498C2×Dic134C2×D411yescharacteristic
499C2×Dic134C2×D411yescharacteristic
500C2×Dic134C2411yescharacteristic
501Q8×D67—82no—
502Q8×D67—82no—
503C2×D268C2411yescharacteristic
504C2×C22⋊D67—21no—
505C2×C22⋊D67—21no—
506D4×D67—22no—
507D4×D67C2×Q814yescomplemented
508C22×Dic67—21no—
509C22×Dic67—21no—
510C22×Dic67—21no—
511C22×Dic67—21no—
512C22×Dic67—21no—
513C22×Dic67—21no—
514C22×Dic67—21no—
515C2×C4×D67—21no—
516C2×C4×D67—21no—
517C2×C4×D67—21no—
518C2×C4×D67—21no—
519C2×C4×D67—21no—
520C2×C4×D67—21no—
521C2×C4×D67—21no—
522C2×C4×D67—21no—
523C2×C4×D67—21no—
524C2×C4×D67—82no—
525C2×C4×D67C2×D411yescharacteristic
526C2×C4×D67C2×D411yescharacteristic
527C2×C4×D67C2411yescharacteristic
528#11761617C2×Q814yescomplemented
529#11761616C2×Q814yescomplemented
530#11761613C2×Q814yescomplemented
531#11761611—22no—
532#11761611C2×Q814yescomplemented
533C2×C67⋊C8C2411yescharacteristic
534C2×C67⋊C8C2411yescharacteristic
535C2×C67⋊C8C2411yescharacteristic
536C2×C67⋊C8C2411yescharacteristic
537C8×D67—22no—
538C8×D67—22no—
539C4⋊Dic67—21no—
540C4⋊Dic67—21no—
541C4⋊Dic67—21no—
542C4⋊Dic67—21no—
543C4⋊Dic67—21no—
544C4⋊Dic67—21no—
545C4⋊Dic67—21no—
546C4⋊Dic67—21no—
547C4⋊Dic67C2×D411yescharacteristic
548C4⋊Dic67C2×D411yescharacteristic
549C4⋊Dic67C2×D411yescharacteristic
550C4⋊Dic67C2411yescharacteristic
551C4⋊Dic67C2411yescharacteristic
552C4⋊Dic67C2411yescharacteristic
553C4⋊Dic67C2411yescharacteristic
554C4⋊Dic67C2411yescharacteristic
555C4⋊Dic67C2411yescharacteristic
556Dic67⋊C4—21no—
557Dic67⋊C4—21no—
558Dic67⋊C4—21no—
559Dic67⋊C4—21no—
560Dic67⋊C4—21no—
561Dic67⋊C4—21no—
562Dic67⋊C4—21no—
563Dic67⋊C4—21no—
564Dic67⋊C4—21no—
565Dic67⋊C4—21no—
566Dic67⋊C4—21no—
567Dic67⋊C4—21no—
568Dic67⋊C4—21no—
569Dic67⋊C4—21no—
570Dic67⋊C4—21no—
571Dic67⋊C4—21no—
572Dic67⋊C4—21no—
573Dic67⋊C4—21no—
574Dic67⋊C4—21no—
575Dic67⋊C4—21no—
576Dic67⋊C4—21no—
577Dic67⋊C4—21no—
578Dic67⋊C4—21no—
579Dic67⋊C4—21no—
580Dic67⋊C4—21no—
581Dic67⋊C4C2×D411yescharacteristic
582Dic67⋊C4C2×D411yescharacteristic
583Dic67⋊C4C2×D411yescharacteristic
584Dic67⋊C4C2×D411yescharacteristic
585Dic67⋊C4C2×D411yescharacteristic
586Dic67⋊C4C2×D411yescharacteristic
587Dic67⋊C4C2×D411yescharacteristic
588Dic67⋊C4C2×D411yescharacteristic
589Dic67⋊C4C2×D411yescharacteristic
590Dic67⋊C4C2×D411yescharacteristic
591C22⋊Dic67—21no—
592C22⋊Dic67—21no—
593C22⋊Dic67—21no—
594C22⋊Dic67—21no—
595C22⋊Dic67—21no—
596C22⋊Dic67—21no—
597(C2×D67)⋊C4—21no—
598(C2×D67)⋊C4—21no—
599(C2×D67)⋊C4—21no—
600(C2×D67)⋊C4—21no—
601(C2×D67)⋊C4—21no—
602(C2×D67)⋊C4—21no—
603(C2×D67)⋊C4—21no—
604(C2×D67)⋊C4—21no—
605(C2×D67)⋊C4—21no—
606(C2×D67)⋊C4C2×D411yescharacteristic
607(C2×D67)⋊C4C2×D411yescharacteristic
608(C2×D67)⋊C4C2×D411yescharacteristic
609(C2×D67)⋊C4C2×D411yescharacteristic
610C4×Dic67—21no—
611C4×Dic67—21no—
612C4×Dic67—21no—
613C4×Dic67—21no—
614C4×Dic67—21no—
615C4×Dic67—21no—
616C4×Dic67—21no—
617C4×Dic67—21no—
618C4×Dic67—21no—
619C4×Dic67C2×D411yescharacteristic
620C4×Dic67C2×D411yescharacteristic
621C4×Dic67C2411yescharacteristic
622C4×Dic67C2411yescharacteristic
623C4×Dic67C2411yescharacteristic
624C2×Q8×C67—21no—
625C2×Q8×C67—21no—
626C2×Q8×C67C2×D411yescharacteristic
627C2×D4×C67C2411yescharacteristic
628C2×D4×C67C2411yescharacteristic
629C22×C4×C67—21no—
630C22×C4×C67—21no—
631C22×C4×C67—21no—
632C22×C4×C67—21no—
633C22×C4×C67—21no—
634C22×C4×C67—21no—
635D8×C67C2×Q814yescomplemented
636C2×C8×C67C2411yescharacteristic
637C2×C8×C67C2411yescharacteristic
638C2×C8×C67C2411yescharacteristic
639C2×C8×C67C2411yescharacteristic
640C4⋊C4×C67—21no—
641C4⋊C4×C67—21no—
642C4⋊C4×C67—21no—
643C4⋊C4×C67—21no—
644C4⋊C4×C67—21no—
645C4⋊C4×C67—21no—
646C4⋊C4×C67—21no—
647C4⋊C4×C67—21no—
648C4⋊C4×C67—21no—
649C4⋊C4×C67—21no—
650C4⋊C4×C67C2×D411yescharacteristic
651C4⋊C4×C67C2×D411yescharacteristic
652C4⋊C4×C67C2×D411yescharacteristic
653C4⋊C4×C67C2411yescharacteristic
654C4⋊C4×C67C2411yescharacteristic
655C4⋊C4×C67C2411yescharacteristic
656C4⋊C4×C67C2411yescharacteristic
657C4⋊C4×C67C2411yescharacteristic
658C4⋊C4×C67C2411yescharacteristic
659C22⋊C4×C67—21no—
660C22⋊C4×C67—21no—
661C22⋊C4×C67—21no—
662C22⋊C4×C67—21no—
663C22⋊C4×C67—21no—
664C22⋊C4×C67—21no—
665C42×C67C2411yescharacteristic
666C42×C67C2411yescharacteristic
667C42×C67C2411yescharacteristic
668C23×C67—21no—
669C23×C67—21no—
670C22×D67—21no—
671C22×D67—24no—
672C22×D67—81no—
673C22×D67—81no—
674C22×D67C22×D411yescharacteristic
675Q8×C67—41no—
676Q8×C67—81no—
677Q8×C67—81no—
678D4×C67—21no—
679D4×C67—21no—
680D4×C67C22×Q812yes—
681D4×C67C22×Q812yes—
682C2×C4×C67—21no—
683C2×C4×C67—21no—
684C2×C4×C67—21no—
685C2×C4×C67—21no—
686C2×C4×C67—21no—
687C2×C4×C67—21no—
688C2×C4×C67—42no—
689C2×C4×C67—81no—
690C2×C4×C67—81no—
691C2×C4×C67—81no—
692C2×C4×C67—81no—
693C2×C4×C67—81no—
694C2×C4×C67C22×D411yescharacteristic
695C2×C4×C67C22×D411yescharacteristic
696C2×C4×C67C22×D411yescharacteristic
697C2×C4×C67C22×D411yescharacteristic
698C2×C4×C67C22×D411yescharacteristic
699C2×C4×C67C22×D411yescharacteristic
700C2×C4×C67C2511yescharacteristic
701C22⋊D67—24no—
702C22⋊D67—24no—
703C2×Dic67—21no—
704C2×Dic67—24no—
705C2×Dic67—21no—
706C2×Dic67—21no—
707C2×Dic67—21no—
708C2×Dic67—21no—
709C2×Dic67—21no—
710C2×Dic67—21no—
711C2×Dic67—42no—
712C2×Dic67—42no—
713C2×Dic67—81no—
714C2×Dic67—81no—
715C2×Dic67—81no—
716C2×Dic67—81no—
717C2×Dic67C22×D411yescharacteristic
718C2×Dic67C22×D411yescharacteristic
719C2×Dic67C22×D411yescharacteristic
720C2×Dic67C22×D411yescharacteristic
721C2×Dic67C22×D411yescharacteristic
722C2×Dic67C22×D411yescharacteristic
723C2×Dic67C22×D411yescharacteristic
724D268—21no—
725D268C22×Q812yes—
726C4×D67—22no—
727C4×D67—41no—
728C4×D67—42no—
729C4×D67—81no—
730C4×D67—81no—
731C4×D67—81no—
732C4×D67—81no—
733C4×D67—81no—
734C4×D67—81no—
735C4×D67—81no—
736C4×D67—81no—
737C4×D67C22×Q812yes—
738C4×D672−1+412yes—
739Dic134—21no—
740Dic134—22no—
741Dic134—22no—
742Dic134—41no—
743Dic134—42no—
744Dic134—42no—
745Dic134—42no—
746Dic134—81no—
747Dic134—81no—
748Dic134—81no—
749Dic134—81no—
750Dic134—81no—
751Dic134—81no—
752Dic134—81no—
753Dic134—81no—
754Dic134—81no—
755Dic134C22×Q812yes—
756C8×C67—21no—
757C8×C67—21no—
758C8×C67—21no—
759C8×C67C22×Q812yes—
760C67⋊C8—21no—
761C67⋊C8—21no—
762C67⋊C8—21no—
763C67⋊C8C22×Q812yes—
764C22×C67—22no—
765C22×C67—22no—
766C22×C67—41no—
767C22×C67—41no—
768C22×C67—41no—
769C22×C67—41no—
770C22×C67C23×D411yescharacteristic
771C2×D67—21no—
772C2×D67—21no—
773C2×D67—22no—
774C2×D67—41no—
775C2×D67—41no—
776C2×D67—84no—
777C2×D67D4×Q812yes—
778C4×C67—21no—
779C4×C67—21no—
780C4×C67—21no—
781C4×C67—21no—
782C4×C67—21no—
783C4×C67—21no—
784C4×C67—41no—
785C4×C67—41no—
786C4×C67—41no—
787C4×C67—41no—
788C4×C67—41no—
789C4×C67—41no—
790C4×C67C23×Q811yescharacteristic
791C4×C67C2×2−1+411yescharacteristic
792Dic67—21no—
793Dic67—21no—
794Dic67—21no—
795Dic67—22no—
796Dic67—21no—
797Dic67—21no—
798Dic67—41no—
799Dic67—41no—
800Dic67—41no—
801Dic67—41no—
802Dic67—41no—
803Dic67—41no—
804Dic67D4×Q812yes—
805Dic67#57612yes—
806#61381—671nomaximal, Sylow
807C2×C67—42no—
808C2×C67—42no—
809C2×C67C2×D4×Q811yescharacteristic
810C2×C67C2×#57611yescharacteristic
811C2×C67#358611yescharacteristic
812D67—22no—
813D67—42no—
814#3503—671no—
815#3501—671no—
816#3389—671no—
817#3389—671no—
818#3389—671no—
819#3389D6711yescharacteristic, complemented
820#3386—671no—
821#3386—671no—
822#3385—671no—
823#3385—671no—
824#3385—671no—
825#3385—671no—
826#3384—671no—
827#3384—671no—
828#3381—671no—
829#3381—671no—
830Q8×D8—671no—
831Q8×D8—671no—
832#3165—671no—
833#3164—671no—
834#3164—671no—
835#3083—671no—
836#3083—671no—
837#3081—671no—
838#3081—671no—
839#3076—671no—
840C2×#474—671no—
841#2962—671no—
842#2946—671no—
843#2946—671no—
844C4×AGL(1,ℤ/8)—671no—
845C67#6138111yescharacteristic, complemented, Sylow
846C2×AGL(1,ℤ/8)—671no—
847Q82—671no—
848Q82—671no—
849#557—671no—
850#557—671no—
851#554—671no—
852#554—671no—
853#554—671no—
854#554—671no—
855#554—671no—
856#554—671no—
857#554—1341no—
858#554—1341no—
859#554—1341no—
860#554—1341no—
861#554—1341no—
862#554C2×D6711yescharacteristic
863#554C2×D6711yescharacteristic, complemented
864D4×Q8—671no—
865D4×Q8—671no—
866D4×Q8—671no—
867D4×Q8—671no—
868D4×Q8—1341no—
869D4×Q8—1341no—
870D4×Q8—1341no—
871#544—671no—
872#544—671no—
873#544—671no—
874#544—671no—
875#544—1341no—
876#544—1341no—
877#543—1341no—
878#543—1341no—
879#533—671no—
880#533—671no—
881#533—1341no—
882C2×C4⋊Q8—671no—
883C2×C4⋊Q8—1341no—
884C2×C22⋊Q8—1341no—
885C2×C22⋊Q8—1341no—
886#520—671no—
887#520—671no—
888#518—671no—
889#518—671no—
890C4×#41—671no—
891C2×C4×D4—671no—
892#501—671no—
893#501—671no—
894#501—671no—
895#501—671no—
896#501—671no—
897#501—671no—
898#501—671no—
899#501—671no—
900#501—671no—
901#501—671no—
902#501C2×D6711yescharacteristic, complemented
903#501C2×D6711yescharacteristic, complemented
904#500—671no—
905#500—671no—
906#500—671no—
907#500—671no—
908#500—671no—
909#500—671no—
910#499—671no—
911#499—671no—
912#499—671no—
913#499C2×D6711yescharacteristic, complemented
914#498—671no—
915#498—671no—
916#479—671no—
917#479—671no—
918#479—671no—
919#479—671no—
920#479—671no—
921#479—671no—
922#478—671no—
923#478—671no—
924#478—671no—
925#478—671no—
926#478—671no—
927#478—671no—
928#478—671no—
929#478—671no—
930#478—671no—
931#478—671no—
932#478C2×D6711yescharacteristic
933#478C2×D6711yescharacteristic
934#478C2×D6711yescharacteristic, complemented
935#478C2×D6711yescharacteristic, complemented
936#477—671no—
937#477—671no—
938#477—671no—
939#477—671no—
940#477—671no—
941#476—671no—
942#476—671no—
943#476—671no—
944#476—671no—
945#476—671no—
946#475—671no—
947#474—671no—
948#474—671no—
949#474—671no—
950#474—671no—
951#474—671no—
952#474—671no—
953#474—671no—
954#474—671no—
955#474—671no—
956#474—671no—
957#474—671no—
958#474—671no—
959#474—671no—
960#474—671no—
961#474—671no—
962#474C2×D6711yescharacteristic
963#474C2×D6711yescharacteristic, complemented
964#446—671no—
965#446—671no—
966#446—671no—
967#446—671no—
968#446—671no—
969#446C2×D6711yescharacteristic, complemented
970C8×Q8—671no—
971C8×Q8—671no—
972#442—671no—
973#442—671no—
974#442—671no—
975#442—671no—
976#442C2×D6711yescharacteristic
977#442C2×D6711yescharacteristic
978#440—671no—
979#440—671no—
980#440—671no—
981#440—671no—
982#440—671no—
983#440—671no—
984C4×SD16—671no—
985C4×SD16—671no—
986C4×SD16—671no—
987C4×SD16—671no—
988C4×SD16—671no—
989C4×SD16—671no—
990C4×D8—671no—
991C4×D8—671no—
992C4×D8—671no—
993C4×D8—671no—
994C4×D8—671no—
995C4×D8C2×D6711yescharacteristic
996#428—671no—
997#428—671no—
998#428—671no—
999#428—671no—
1000#428—671no—
1001#427—671no—
1002#427—671no—
1003C2×#107—671no—
1004C2×#107—671no—
1005#424—671no—
1006#424—671no—
1007C2×C4⋊C8—671no—
1008#418—671no—
1009#417—671no—
1010#416—671no—
1011#416—671no—
1012C2×#102—671no—
1013C2×#102—671no—
1014#405—671no—
1015#405—671no—
1016C4×M16—671no—
1017C2×#41—671no—
1018C22×Q8—1341no—
1019C22×Q8—1341no—
1020C22×Q8—1341no—
1021C22×Q8—1341no—
1022C22×Q8—1341no—
1023C22×D4—671no—
1024C23×C4—1341no—
1025AGL(1,ℤ/8)—678no—
1026C2×SD16—671no—
1027C2×SD16—671no—
1028C2×D8—671no—
1029C2×D8C22×D6711yescharacteristic
1030C2×M16—671no—
1031C2×M16—671no—
1032C22×C8—671no—
1033C22×C8—671no—
1034C4⋊Q8—671no—
1035C4⋊Q8—671no—
1036C4⋊Q8—671no—
1037C4⋊Q8—671no—
1038C4⋊Q8—671no—
1039C4⋊Q8—671no—
1040C4⋊Q8—671no—
1041C4⋊Q8—671no—
1042C4⋊Q8—671no—
1043C4⋊Q8—671no—
1044C4⋊Q8—671no—
1045C4⋊Q8—671no—
1046C4⋊Q8—671no—
1047C4⋊Q8—671no—
1048C4⋊Q8—1341no—
1049C4⋊Q8—1341no—
1050C4⋊Q8—1341no—
1051C4⋊Q8—1341no—
1052C4⋊Q8—1341no—
1053C4⋊Q8—1341no—
1054C4⋊Q8—1341no—
1055C4⋊Q8—1341no—
1056C4⋊Q8—1341no—
1057C4⋊Q8—1341no—
1058C4⋊Q8—1341no—
1059C4⋊Q8—1341no—
1060C4⋊Q8—1341no—
1061C4⋊Q8—1341no—
1062C4⋊Q8C22×D6711yescharacteristic
1063C4⋊Q8C22×D6711yescharacteristic
1064#125—671no—
1065#125—671no—
1066#125—671no—
1067#125—671no—
1068#125—671no—
1069#125—671no—
1070#125—671no—
1071#125—671no—
1072#125—1341no—
1073#125—1341no—
1074#125—1341no—
1075#125—1341no—
1076#125—1341no—
1077#125—1341no—
1078#125—1341no—
1079#125—1341no—
1080#125C22×D6711yescharacteristic
1081#125C22×D6711yescharacteristic
1082#125C22×D6711yescharacteristic
1083#125C22×D6711yescharacteristic
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—671no—
1091C22⋊Q8—671no—
1092C22⋊Q8—671no—
1093C22⋊Q8—671no—
1094C22⋊Q8—1341no—
1095C22⋊Q8—1341no—
1096C22⋊Q8—1341no—
1097C22⋊Q8—1341no—
1098C22⋊Q8—1341no—
1099C22⋊Q8—1341no—
1100C22⋊Q8—1341no—
1101C22⋊Q8—1341no—
1102C22⋊Q8—1341no—
1103C22⋊Q8—1341no—
1104C22⋊Q8—1341no—
1105C22⋊Q8—1341no—
1106C22⋊Q8—1341no—
1107C22⋊Q8—1341no—
1108C22⋊Q8—1341no—
1109C22⋊Q8—1341no—
1110C22⋊Q8—1341no—
1111C22⋊Q8—1341no—
1112C22⋊Q8—1341no—
1113C22⋊Q8—1341no—
1114C22⋊Q8—1341no—
1115C22⋊Q8—1341no—
1116C22⋊Q8—1341no—
1117C22⋊Q8—1341no—
1118C22⋊Q8—1341no—
1119C22⋊Q8—1341no—
1120C22⋊Q8—1341no—
1121C22⋊Q8—1341no—
1122C22⋊Q8—1341no—
1123C22⋊Q8—1341no—
1124C22⋊Q8—1341no—
1125C22⋊Q8—1341no—
1126C22⋊Q8—1341no—
1127C22⋊Q8—1341no—
1128C22⋊Q8—1341no—
1129C22⋊Q8—1341no—
1130C22⋊Q8—1341no—
1131C22⋊Q8—1341no—
1132C22⋊Q8—1341no—
1133C22⋊Q8—1341no—
1134C4×Q8—671no—
1135C4×Q8—671no—
1136C4×Q8—671no—
1137C4×Q8—671no—
1138C4×Q8—671no—
1139C4×Q8—671no—
1140C4×Q8—671no—
1141C4×Q8—671no—
1142C4×Q8—671no—
1143C4×Q8—1341no—
1144C4×Q8—1341no—
1145C4×Q8—1341no—
1146C4×Q8—1341no—
1147C4×Q8—1341no—
1148C4×Q8—1341no—
1149C4×Q8C22×D6711yescharacteristic
1150C4×D4—671no—
1151C4×D4—671no—
1152C4×D4—671no—
1153C4×D4—671no—
1154C4×D4—671no—
1155C4×D4—671no—
1156C4×D4—671no—
1157C4×D4—671no—
1158C4×D4—671no—
1159C4×D4—671no—
1160C4×D4—671no—
1161C4×D4—671no—
1162C4×D4—1341no—
1163C4×D4—1341no—
1164C4×D4—1341no—
1165C4×D4—1341no—
1166C4×D4—1341no—
1167C4×D4—1341no—
1168C4×D4—1341no—
1169C4×D4—1341no—
1170C4×D4—1341no—
1171C4×D4—1341no—
1172C4×D4—1341no—
1173C4×D4—1341no—
1174C4×D4C22×D6711yescharacteristic
1175C4×D4C22×D6711yescharacteristic
1176C4×D4C22×D6711yescharacteristic
1177C4×D4C22×D6711yescharacteristic
1178C4×D4C22×D6711yescharacteristic
1179C4×D4C22×D6711yescharacteristic
1180#117—671no—
1181#117—671no—
1182#117—671no—
1183#117—671no—
1184#117—671no—
1185#117—1341no—
1186#117—1341no—
1187#117—1341no—
1188C2×C4⋊C4—21no—
1189C2×C4⋊C4—21no—
1190C2×C4⋊C4—671no—
1191C2×C4⋊C4—671no—
1192C2×C4⋊C4—671no—
1193C2×C4⋊C4—1341no—
1194C2×C4⋊C4—1341no—
1195C2×C4⋊C4—1341no—
1196C2×C4⋊C4—1341no—
1197C2×C4⋊C4—1341no—
1198C2×C4⋊C4—1341no—
1199C2×C4⋊C4—1341no—
1200C2×C4⋊C4—1341no—
1201C2×C4⋊C4—1341no—
1202C2×C22⋊C4—1341no—
1203C2×C22⋊C4—1341no—
1204C2×C22⋊C4—1341no—
1205C2×C22⋊C4—1341no—
1206C2×C22⋊C4—1341no—
1207C2×C42—671no—
1208C2×C42—1341no—
1209#107—671no—
1210#107—671no—
1211#107—671no—
1212#107—671no—
1213#107—671no—
1214#107—671no—
1215#107—671no—
1216#107—671no—
1217#107—671no—
1218#107—671no—
1219#107—671no—
1220#107—671no—
1221#107—671no—
1222#107—671no—
1223#107—671no—
1224#107—671no—
1225#107—671no—
1226#107C22×D6711yescharacteristic
1227#107C22×D6711yescharacteristic
1228#107C22×D6711yescharacteristic
1229#107C22×D6711yescharacteristic
1230#107C22×D6711yescharacteristic
1231#106—671no—
1232#106—671no—
1233#106—671no—
1234#106—671no—
1235#106—671no—
1236#106—671no—
1237#106—671no—
1238#106—671no—
1239#106—671no—
1240#106—671no—
1241#106C22×D6711yescharacteristic
1242#106C22×D6711yescharacteristic
1243#106C22×D6711yescharacteristic
1244#106C22×D6711yescharacteristic
1245C4⋊C8—671no—
1246C4⋊C8—671no—
1247C4⋊C8—671no—
1248C4⋊C8—671no—
1249C4⋊C8—671no—
1250C4⋊C8—671no—
1251C4⋊C8—671no—
1252C4⋊C8—671no—
1253C4⋊C8—671no—
1254C4⋊C8C22×D6711yescharacteristic
1255C4⋊C8C22×D6711yescharacteristic
1256C4⋊C8C22×D6711yescharacteristic
1257#103—671no—
1258#103—671no—
1259#103—671no—
1260#103—671no—
1261#103—671no—
1262#103—671no—
1263#102—671no—
1264#102—671no—
1265#102—671no—
1266#102—671no—
1267#102—671no—
1268#102—671no—
1269#102—671no—
1270#102—671no—
1271#102—671no—
1272#102—671no—
1273#102—671no—
1274#102—671no—
1275#102C22×D6711yescharacteristic
1276#102C22×D6711yescharacteristic
1277#102C22×D6711yescharacteristic
1278#102C22×D6711yescharacteristic
1279#102C22×D6711yescharacteristic
1280#102C22×D6711yescharacteristic
1281#97—671no—
1282#97—671no—
1283#97—671no—
1284#97—671no—
1285#97C22×D6711yescharacteristic
1286#97C22×D6711yescharacteristic
1287C4×C8—671no—
1288C4×C8—671no—
1289C4×C8—671no—
1290C4×C8—671no—
1291C4×C8—671no—
1292C4×C8C22×D6711yescharacteristic
1293C24—1341no—
1294#41—674no—
1295#41—1342no—
1296C2×Q8—21no—
1297C2×Q8—21no—
1298C2×Q8—5362no—
1299C2×Q8—5362no—
1300C2×Q8—5362no—
1301C2×Q8—5362no—
1302C2×Q8—5362no—
1303C2×Q8—671no—
1304C2×Q8—671no—
1305C2×Q8—671no—
1306C2×Q8—671no—
1307C2×Q8—1341no—
1308C2×Q8—1341no—
1309C2×Q8—1341no—
1310C2×Q8—1341no—
1311C2×Q8—1341no—
1312C2×Q8—1341no—
1313C2×Q8—1341no—
1314C2×Q8—1341no—
1315C2×Q8—1341no—
1316C2×Q8—1341no—
1317C2×Q8—1341no—
1318C2×Q8—1341no—
1319C2×Q8D4×D6711yescharacteristic
1320C2×D4—674no—
1321C2×D4—671no—
1322C2×D4—1342no—
1323C2×D4—1341no—
1324C2×D4—1341no—
1325C2×D4C23×D6711yescharacteristic
1326C2×D4C23×D6711yescharacteristic
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—5362no—
1334C22×C4—671no—
1335C22×C4—671no—
1336C22×C4—671no—
1337C22×C4—1341no—
1338C22×C4—1341no—
1339C22×C4—1341no—
1340C22×C4—1341no—
1341C22×C4—1341no—
1342C22×C4—1341no—
1343C22×C4—1341no—
1344C22×C4—1341no—
1345C22×C4—1341no—
1346C22×C4—1341no—
1347C22×C4—1341no—
1348C22×C4—1341no—
1349C22×C4—1341no—
1350C22×C4—1341no—
1351C22×C4—1341no—
1352C22×C4—1341no—
1353SD16—674no—
1354SD16—674no—
1355D8—674no—
1356D8Q8×D6714yescomplemented
1357M16—674no—
1358M16—1342no—
1359C2×C8—671no—
1360C2×C8—671no—
1361C2×C8—671no—
1362C2×C8—671no—
1363C2×C8—1342no—
1364C2×C8—1342no—
1365C2×C8C23×D6711yescharacteristic
1366C2×C8C23×D6711yescharacteristic
1367C2×C8C23×D6711yescharacteristic
1368C2×C8C23×D6711yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—671no—
1380C4⋊C4—671no—
1381C4⋊C4—671no—
1382C4⋊C4—671no—
1383C4⋊C4—671no—
1384C4⋊C4—671no—
1385C4⋊C4—671no—
1386C4⋊C4—671no—
1387C4⋊C4—671no—
1388C4⋊C4—671no—
1389C4⋊C4—671no—
1390C4⋊C4—671no—
1391C4⋊C4—671no—
1392C4⋊C4—671no—
1393C4⋊C4—671no—
1394C4⋊C4—671no—
1395C4⋊C4—671no—
1396C4⋊C4—671no—
1397C4⋊C4—671no—
1398C4⋊C4—1341no—
1399C4⋊C4—1341no—
1400C4⋊C4—1341no—
1401C4⋊C4—1341no—
1402C4⋊C4—1341no—
1403C4⋊C4—1341no—
1404C4⋊C4—1341no—
1405C4⋊C4—1341no—
1406C4⋊C4—1341no—
1407C4⋊C4—1341no—
1408C4⋊C4—1341no—
1409C4⋊C4—1341no—
1410C4⋊C4—1341no—
1411C4⋊C4—1341no—
1412C4⋊C4—1341no—
1413C4⋊C4—1341no—
1414C4⋊C4—1341no—
1415C4⋊C4—1341no—
1416C4⋊C4—1341no—
1417C4⋊C4—1341no—
1418C4⋊C4—1341no—
1419C4⋊C4—1341no—
1420C4⋊C4—1341no—
1421C4⋊C4—1341no—
1422C4⋊C4—1341no—
1423C4⋊C4—1341no—
1424C4⋊C4—1341no—
1425C4⋊C4—1341no—
1426C4⋊C4—1341no—
1427C4⋊C4—1341no—
1428C4⋊C4—1341no—
1429C4⋊C4—1341no—
1430C4⋊C4—1341no—
1431C4⋊C4D4×D6711yescharacteristic
1432C4⋊C4D4×D6711yescharacteristic
1433C4⋊C4D4×D6711yescharacteristic
1434C4⋊C4C23×D6711yescharacteristic
1435C4⋊C4C23×D6711yescharacteristic
1436C4⋊C4C23×D6711yescharacteristic
1437C4⋊C4C23×D6711yescharacteristic
1438C4⋊C4C23×D6711yescharacteristic
1439C4⋊C4C23×D6711yescharacteristic
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—671no—
1447C22⋊C4—671no—
1448C22⋊C4—671no—
1449C22⋊C4—671no—
1450C22⋊C4—1341no—
1451C22⋊C4—1341no—
1452C22⋊C4—1341no—
1453C22⋊C4—1341no—
1454C22⋊C4—1341no—
1455C22⋊C4—1341no—
1456C22⋊C4—1341no—
1457C22⋊C4—1341no—
1458C22⋊C4—1341no—
1459C22⋊C4—1341no—
1460C22⋊C4—1341no—
1461C22⋊C4—1341no—
1462C22⋊C4—1341no—
1463C22⋊C4—1341no—
1464C22⋊C4—1341no—
1465C42—671no—
1466C42—671no—
1467C42—671no—
1468C42—671no—
1469C42—671no—
1470C42—1341no—
1471C42—1341no—
1472C42—1341no—
1473C42—1341no—
1474C42—1341no—
1475C42—1341no—
1476C42—1341no—
1477C42—1341no—
1478C42—1341no—
1479C42C23×D6711yescharacteristic
1480C42C23×D6711yescharacteristic
1481C42C23×D6711yescharacteristic
1482C23—21no—
1483C23—21no—
1484C23—5361no—
1485C23—5361no—
1486C23—671no—
1487C23—1344no—
1488C23—1341no—
1489Q8—41no—
1490Q8—81no—
1491Q8—81no—
1492Q8—2681no—
1493Q8—2682no—
1494Q8—2682no—
1495Q8—2682no—
1496Q8—5361no—
1497Q8—5361no—
1498Q8—5361no—
1499Q8—5361no—
1500Q8—5361no—
1501Q8—5361no—
1502Q8—5361no—
1503Q8—5361no—
1504Q8—5361no—
1505Q8—672no—
1506Q8—1342no—
1507Q8—1342no—
1508Q8—1341no—
1509D4—21no—
1510D4—21no—
1511D4—672no—
1512D4—1344no—
1513D4—1344no—
1514D4—1341no—
1515D4C2×Q8×D6712yes—
1516D4C2×Q8×D6712yes—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—42no—
1524C2×C4—81no—
1525C2×C4—81no—
1526C2×C4—81no—
1527C2×C4—81no—
1528C2×C4—81no—
1529C2×C4—2681no—
1530C2×C4—2682no—
1531C2×C4—2682no—
1532C2×C4—2682no—
1533C2×C4—5361no—
1534C2×C4—5361no—
1535C2×C4—5361no—
1536C2×C4—5361no—
1537C2×C4—5361no—
1538C2×C4—5361no—
1539C2×C4—5361no—
1540C2×C4—5361no—
1541C2×C4—5361no—
1542C2×C4—5361no—
1543C2×C4—5361no—
1544C2×C4—5361no—
1545C2×C4—671no—
1546C2×C4—671no—
1547C2×C4—672no—
1548C2×C4—672no—
1549C2×C4—671no—
1550C2×C4—671no—
1551C2×C4—671no—
1552C2×C4—671no—
1553C2×C4—671no—
1554C2×C4—1342no—
1555C2×C4—1341no—
1556C2×C4—1341no—
1557C2×C4—1341no—
1558C2×C4—1341no—
1559C2×C4—1341no—
1560C2×C4—1341no—
1561C2×C4—1344no—
1562C2×C4—1341no—
1563C2×C4C2×D4×D6711yescharacteristic
1564C2×C4C2×D4×D6711yescharacteristic
1565C2×C4C2×D4×D6711yescharacteristic
1566C2×C4C2×D4×D6711yescharacteristic
1567C2×C4C2×D4×D6711yescharacteristic
1568C2×C4C2×D4×D6711yescharacteristic
1569C2×C4C24×D6711yescharacteristic
1570C8—21no—
1571C8—21no—
1572C8—21no—
1573C8—672no—
1574C8—1341no—
1575C8—1341no—
1576C8—1341no—
1577C8C2×Q8×D6712yes—
1578C22—22no—
1579C22—22no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—2681no—
1585C22—2681no—
1586C22—5364no—
1587C22—672no—
1588C22—1342no—
1589C22—1341no—
1590C22—1341no—
1591C22C22×D4×D6711yescharacteristic
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—2681no—
1605C4—2681no—
1606C4—2681no—
1607C4—2681no—
1608C4—2681no—
1609C4—2681no—
1610C4—672no—
1611C4—672no—
1612C4—1341no—
1613C4—1341no—
1614C4—1342no—
1615C4—1341no—
1616C4—1341no—
1617C4—1341no—
1618C4C22×Q8×D6711yescharacteristic
1619C42−1+4×D6711yescharacteristic
1620C2—42no—
1621C2—42no—
1622C2—2682no—
1623C2—1342no—
1624C2D4×Q8×D6711yescharacteristic
1625C2#576×D6711yescharacteristic
1626C2#2257499311yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3389C2
socleC22×C67C23×D4
prime radicalC2×#14524067C22
hypercenter#3389D67
hypocenterC67#61381
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #22574023C2semidirect
2. #22574008C2semidirect
3. #22573168C2semidirect
4. #22573166C2semidirect
5. #22573163C2semidirect
6. #22573127C2semidirect
7. #22573125C2semidirect
8. #22573121C2semidirect
9. #22573119C2semidirect
10. #22573116C2semidirect
11. #22573114C2semidirect
12. #22573111C2semidirect
13. #22573109C2semidirect
14. #22573081C2semidirect
15. #22573079C2semidirect
16. D8×Dic134C2semidirect
17. #22573059C2semidirect
18. #22570754C2semidirect
19. #22570746C2semidirect
20. #22570744C2semidirect
21. #22570061C2semidirect
22. #22570055C2semidirect
23. #22570039C2semidirect
24. #22570037C2semidirect
25. #22569994C2semidirect
26. #474×D67C2semidirect
27. #22569154C2semidirect
31. C67×#3389C2semidirect
33. Q8×Dic134C22semidirect
34. #16864126C22semidirect
35. #16864123C22semidirect
36. #16864123C22semidirect
41. #16864103C22semidirect
49. D4×Dic134C22semidirect
50. D4×Dic134C22semidirect
76. #16863806C22semidirect
77. #16863806C22semidirect
78. #16863806C22semidirect
79. #16863805C22semidirect
80. #16863805C22semidirect
81. #16863804C22semidirect
82. #16863803C22semidirect
83. #16863803C22semidirect
84. #16863803C22semidirect
85. #16863802C22semidirect
86. #16863801C22semidirect
87. #16863800C22semidirect
88. #16863800C22semidirect
89. #16863800C22semidirect
90. #16863800C22semidirect
91. #16863799C22semidirect
92. #16863797C22semidirect
93. #16863796C22semidirect
94. #16863795C22semidirect
95. #16863793C22semidirect
96. #16863793C22semidirect
97. #16863706C22semidirect
98. #16863704C22semidirect
99. #16863704C22semidirect
100. #16863702C22semidirect
101. #16863700C22semidirect
102. #16863700C22semidirect
105. #16863698C22semidirect
106. #16863696C22semidirect
107. #16863696C22semidirect
110. #16863694C22semidirect
113. #16863692C22semidirect
114. #16863690C22semidirect
115. #16863690C22semidirect
116. #16863690C22semidirect
117. #16863688C22semidirect
122. #16863684C22semidirect
123. #16863680C22semidirect
128. #16863676C22semidirect
135. #16863674C22semidirect
136. #16863674C22semidirect
137. #16863674C22semidirect
139. #16863527C22semidirect
140. #16863525C22semidirect
141. #16863525C22semidirect
142. #16863524C22semidirect
143. #16863524C22semidirect
144. C8×Dic134C22semidirect
145. #16863520C22semidirect
189. #554×C67C22semidirect
190. #501×C67C22semidirect
191. #501×C67C22semidirect
192. #499×C67C22semidirect
195. #478×C67C22semidirect
196. #478×C67C22semidirect
198. #474×C67C22semidirect
199. #446×C67C22semidirect
211. #14524067Q8semidirect
481. #11761627C2×Q8semidirect
507. D4×D67C2×Q8semidirect
528. #11761617C2×Q8semidirect
529. #11761616C2×Q8semidirect
530. #11761613C2×Q8semidirect
532. #11761611C2×Q8semidirect
635. D8×C67C2×Q8semidirect
819. #3389D67semidirect
845. C67#61381semidirect
863. #554C2×D67semidirect
902. #501C2×D67semidirect
903. #501C2×D67semidirect
913. #499C2×D67semidirect
934. #478C2×D67semidirect
935. #478C2×D67semidirect
963. #474C2×D67semidirect
969. #446C2×D67semidirect
1356. D8Q8×D67semidirect

Maximal subgroups

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

subgroupindex
#225740232
#225740082
#225731682
#225731662
#225731632
#225731272
#225731252
#225731212
#225731192
#225731162
#225731142
#225731112
#225731092
#225730812
#225730792
D8×Dic1342
#225730592
#225707542
#225707462
#225707442
#225700612
#225700552
#225700392
#225700372
#225699942
#474×D672
#225691542
#225690382
#225690342
#225690202
C67×#33892
#6138167