Finite Group Databasebeta

← #30560799

Subgroups — #30560799

Order 15616.

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#21459633C211yesmaximal, characteristic, complemented
2#21459618C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458776C211yesmaximal, characteristic, complemented
5#21458773C211yesmaximal, characteristic, complemented
6#21458737C211yesmaximal, characteristic, complemented
7#21458735C211yesmaximal, characteristic, complemented
8#21458731C211yesmaximal, characteristic, complemented
9#21458729C211yesmaximal, characteristic, complemented
10#21458726C211yesmaximal, characteristic, complemented
11#21458724C211yesmaximal, characteristic, complemented
12#21458721C211yesmaximal, characteristic, complemented
13#21458719C211yesmaximal, characteristic, complemented
14#21458691C211yesmaximal, characteristic, complemented
15#21458689C211yesmaximal, characteristic, complemented
16D8×Dic122C211yesmaximal, characteristic, complemented
17#21458669C211yesmaximal, characteristic, complemented
18#21456364C211yesmaximal, characteristic, complemented
19#21456356C211yesmaximal, characteristic, complemented
20#21456354C211yesmaximal, characteristic, complemented
21#21455671C211yesmaximal, characteristic, complemented
22#21455665C211yesmaximal, characteristic, complemented
23#21455649C211yesmaximal, characteristic, complemented
24#21455647C211yesmaximal, characteristic, complemented
25#21455604C211yesmaximal, characteristic, complemented
26#474×D61C211yesmaximal, characteristic, complemented
27#21454764C211yesmaximal, characteristic, complemented
28#21454648C211yesmaximal, characteristic
29#21454644C211yesmaximal, characteristic
30#21454630C211yesmaximal, characteristic
31C61×#3389C211yesmaximal, characteristic, complemented
32C2×#14519801C2211yescharacteristic
33Q8×Dic122C2211yescharacteristic, complemented
34#16840492C2211yescharacteristic, complemented
35#16840489C2211yescharacteristic, complemented
36#16840489C2211yescharacteristic, complemented
37#16840472C2211yescharacteristic
38#16840471C2211yescharacteristic
39#16840471C2211yescharacteristic
40#16840470—21no—
41#16840469C2211yescharacteristic, complemented
42#16840468C2211yescharacteristic
43#16840468C2211yescharacteristic
44#16840467—21no—
45#16840467—21no—
46#16840466—21no—
47#16840466—21no—
48D4×Dic122C2211yescharacteristic
49D4×Dic122C2211yescharacteristic, complemented
50D4×Dic122C2211yescharacteristic, complemented
51#16840427C2211yescharacteristic
52#16840425—21no—
53#16840425—21no—
54#16840425—21no—
55#16840392C2211yescharacteristic
56#16840392C2211yescharacteristic
57#16840392C2211yescharacteristic
58#16840391—21no—
59#16840391—21no—
60#16840389C2211yescharacteristic
61#16840387—21no—
62#16840387—21no—
63#16840318C2211yescharacteristic
64#16840316C2211yescharacteristic
65#16840314—21no—
66C2×#14519776—21no—
67C4⋊Q8×D61C2211yescharacteristic
68C2×#14519755—21no—
69C22⋊Q8×D61—21no—
70#16840241C2211yescharacteristic
71#16840241C2211yescharacteristic
72#16840234C2211yescharacteristic
73#16840234C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75C4×D4×D61C2211yescharacteristic
76#16840172C2211yescharacteristic, complemented
77#16840172C2211yescharacteristic, complemented
78#16840172C2211yescharacteristic, complemented
79#16840171C2211yescharacteristic, complemented
80#16840171C2211yescharacteristic, complemented
81#16840170C2211yescharacteristic, complemented
82#16840169C2211yescharacteristic, complemented
83#16840169C2211yescharacteristic, complemented
84#16840169C2211yescharacteristic, complemented
85#16840168C2211yescharacteristic, complemented
86#16840167C2211yescharacteristic, complemented
87#16840166C2211yescharacteristic, complemented
88#16840166C2211yescharacteristic, complemented
89#16840166C2211yescharacteristic, complemented
90#16840166C2211yescharacteristic, complemented
91#16840165C2211yescharacteristic, complemented
92#16840163C2211yescharacteristic, complemented
93#16840162C2211yescharacteristic, complemented
94#16840161C2211yescharacteristic, complemented
95#16840159C2211yescharacteristic, complemented
96#16840159C2211yescharacteristic, complemented
97#16840072C2211yescharacteristic, complemented
98#16840070C2211yescharacteristic, complemented
99#16840070C2211yescharacteristic, complemented
100#16840068C2211yescharacteristic, complemented
101#16840066C2211yescharacteristic, complemented
102#16840066C2211yescharacteristic, complemented
103#16840065C2211yescharacteristic
104#16840064C2211yescharacteristic
105#16840064C2211yescharacteristic, complemented
106#16840062C2211yescharacteristic, complemented
107#16840062C2211yescharacteristic, complemented
108#16840061C2211yescharacteristic
109#16840060C2211yescharacteristic
110#16840060C2211yescharacteristic, complemented
111#16840059C2211yescharacteristic
112#16840059C2211yescharacteristic
113#16840058C2211yescharacteristic, complemented
114#16840056C2211yescharacteristic, complemented
115#16840056C2211yescharacteristic, complemented
116#16840056C2211yescharacteristic, complemented
117#16840054C2211yescharacteristic, complemented
118#16840053C2211yescharacteristic
119#16840052C2211yescharacteristic
120#16840051C2211yescharacteristic
121#16840050C2211yescharacteristic
122#16840050C2211yescharacteristic, complemented
123#16840046C2211yescharacteristic, complemented
124#16840043C2211yescharacteristic
125#16840043C2211yescharacteristic
126#16840042C2211yescharacteristic
127#16840042C2211yescharacteristic
128#16840042C2211yescharacteristic, complemented
129#16840041C2211yescharacteristic
130#16840041C2211yescharacteristic
131#16840041C2211yescharacteristic
132#16840040C2211yescharacteristic
133#16840040C2211yescharacteristic
134#16840040C2211yescharacteristic
135#16840040C2211yescharacteristic, complemented
136#16840040C2211yescharacteristic, complemented
137#16840040C2211yescharacteristic, complemented
138#16840039C2211yescharacteristic
139#16839893C2211yescharacteristic, complemented
140#16839891C2211yescharacteristic, complemented
141#16839891C2211yescharacteristic, complemented
142#16839890C2211yescharacteristic, complemented
143#16839890C2211yescharacteristic, complemented
144C8×Dic122C2211yescharacteristic, complemented
145#16839886C2211yescharacteristic, complemented
146#16839874C2211yescharacteristic
147#16839872C2211yescharacteristic
148#16839872C2211yescharacteristic
149#16839871C2211yescharacteristic
150#16839864C2211yescharacteristic
151#16839864C2211yescharacteristic
152#16839862C2211yescharacteristic
153#16839862C2211yescharacteristic
154#16839861C2211yescharacteristic
155#16839859C2211yescharacteristic
156#16839853C2211yescharacteristic
157#16839853C2211yescharacteristic
158C4×#11758190C2211yescharacteristic
159#16839849C2211yescharacteristic
160#16839849C2211yescharacteristic
161C4×#11758200C2211yescharacteristic
162D8×Dic61C2211yescharacteristic
163D8×Dic61C2211yescharacteristic
164C4×#11758199C2211yescharacteristic
165#16839842C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839803C2211yescharacteristic
168#16839803C2211yescharacteristic
169#16839801C2211yescharacteristic
170#16839801C2211yescharacteristic
171#16839801C2211yescharacteristic
172#16839799C2211yescharacteristic
173#16839797C2211yescharacteristic
174#107×D61C2211yescharacteristic
175#107×D61C2211yescharacteristic
176#16839787C2211yescharacteristic
177#16839787C2211yescharacteristic
178C4⋊C8×D61C2211yescharacteristic
179#16839765C2211yescharacteristic
180#16839760C2211yescharacteristic
181#16839755C2211yescharacteristic
182#16839755C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839716C2211yescharacteristic
187#16839714C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#554C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#499C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#478C2211yescharacteristic, complemented
196C61×#478C2211yescharacteristic, complemented
197C61×#474C2211yescharacteristic
198C61×#474C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758224C2311yescharacteristic
204C22×Dic122—21no—
205C22×Dic122—21no—
206C22×Dic122—21no—
207C2×Q8×D61—21no—
208C2×Q8×D61—21no—
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211#14519801Q818yescomplemented
212C2×#11758190C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776—21no—
230#14519776—21no—
231#14519776—21no—
232#14519776—21no—
233#14519776D411yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519775—21no—
243#14519775—21no—
244#14519775—21no—
245#14519775—21no—
246#14519775D411yescharacteristic
247#14519769C2311yescharacteristic
248#14519769C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767D411yescharacteristic
262#14519767D411yescharacteristic
263#14519757—21no—
264#14519757—21no—
265#14519757—21no—
266#14519757—21no—
267#14519757—21no—
268#14519757D411yescharacteristic
269#14519756—21no—
270#14519756—21no—
271#14519756—21no—
272#14519756—21no—
273#14519756—21no—
274#14519756—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519755D411yescharacteristic
290#14519755D411yescharacteristic
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519753—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753D411yescharacteristic
307Q8×Dic61—21no—
308C4×Dic122C2311yescharacteristic
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742C2311yescharacteristic
320#14519742C2311yescharacteristic
321#14519742C2311yescharacteristic
322C4×D244C2311yescharacteristic
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519735C2311yescharacteristic
347#14519735C2311yescharacteristic
348#14519735C2311yescharacteristic
349#14519734C2311yescharacteristic
350#14519734C2311yescharacteristic
351#14519733—21no—
352#14519733—21no—
353#14519733—21no—
354C2×C4⋊Dic61—21no—
355C2×#11758196—21no—
356C2×#11758196—21no—
357C2×#11758196—21no—
358C2×#11758196—21no—
359C4⋊C4×D61—21no—
360C4⋊C4×D61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61C2311yescharacteristic
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C2×#11758198—21no—
367C2×#11758198—21no—
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C2×C4×Dic61—21no—
372C42×D61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519688C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431C4×#92418C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×D8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C2×C4⋊C4×C61—21no—
457C2×C4⋊C4×C61—21no—
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C4×C8×C61C2311yescharacteristic
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2×D411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C22×Dic61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500Q8×D61—82no—
501Q8×D61—82no—
502#11758224—22no—
503#11758224C2×Q814yescomplemented
504D4×D61—22no—
505D4×D61C2×Q814yescomplemented
506C2×D244C2411yescharacteristic
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61—82no—
517C2×C4×D61C2×D411yescharacteristic
518C2×C4×D61C2×D411yescharacteristic
519C2×C4×D61C2411yescharacteristic
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—21no—
527C2×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—82no—
533C2×Dic122—82no—
534C2×Dic122—82no—
535C2×Dic122C2×D411yescharacteristic
536C2×Dic122C2×D411yescharacteristic
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2411yescharacteristic
539D8×C61C2×Q814yescomplemented
540C2×C8×C61C2411yescharacteristic
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61C2×D411yescharacteristic
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C42×C61C2411yescharacteristic
570C42×C61C2411yescharacteristic
571C42×C61C2411yescharacteristic
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578#11758200C2×Q814yescomplemented
579#11758199C2×Q814yescomplemented
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198C2×D411yescharacteristic
590#11758198C2×D411yescharacteristic
591#11758198C2×D411yescharacteristic
592#11758198C2×D411yescharacteristic
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61C2×D411yescharacteristic
602C4⋊Dic61C2×D411yescharacteristic
603C4⋊Dic61C2×D411yescharacteristic
604C4⋊Dic61C2411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610#11758196—21no—
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663#11758190C2×Q814yescomplemented
664#11758189—22no—
665#11758189C2×Q814yescomplemented
666C8×D61—22no—
667C8×D61—22no—
668C23×C61—21no—
669C23×C61—21no—
670C22×D61—21no—
671C22×D61—24no—
672C22×D61—81no—
673C22×D61—81no—
674C22×D61C22×D411yescharacteristic
675Q8×C61—41no—
676Q8×C61—81no—
677Q8×C61—81no—
678D4×C61—21no—
679D4×C61—21no—
680D4×C61C22×Q812yes—
681D4×C61C22×Q812yes—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—42no—
689C2×C4×C61—81no—
690C2×C4×C61—81no—
691C2×C4×C61—81no—
692C2×C4×C61—81no—
693C2×C4×C61—81no—
694C2×C4×C61C22×D411yescharacteristic
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C2511yescharacteristic
701C22⋊D61—24no—
702C22⋊D61—24no—
703C2×Dic61—21no—
704C2×Dic61—24no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—42no—
712C2×Dic61—42no—
713C2×Dic61—81no—
714C2×Dic61—81no—
715C2×Dic61—81no—
716C2×Dic61—81no—
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724D244—21no—
725D244C22×Q812yes—
726C4×D61—22no—
727C4×D61—41no—
728C4×D61—42no—
729C4×D61—81no—
730C4×D61—81no—
731C4×D61—81no—
732C4×D61—81no—
733C4×D61—81no—
734C4×D61—81no—
735C4×D61—81no—
736C4×D61—81no—
737C4×D61C22×Q812yes—
738C4×D612−1+412yes—
739Dic122—21no—
740Dic122—22no—
741Dic122—22no—
742Dic122—41no—
743Dic122—42no—
744Dic122—42no—
745Dic122—42no—
746Dic122—81no—
747Dic122—81no—
748Dic122—81no—
749Dic122—81no—
750Dic122—81no—
751Dic122—81no—
752Dic122—81no—
753Dic122—81no—
754Dic122—81no—
755Dic122C22×Q812yes—
756C8×C61—21no—
757C8×C61—21no—
758C8×C61—21no—
759C8×C61C22×Q812yes—
760#92418—21no—
761#92418—21no—
762#92418—21no—
763#92418C22×Q812yes—
764#61381—611nomaximal, Sylow
765C22×C61—22no—
766C22×C61—22no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61C23×D411yescharacteristic
772C2×D61—21no—
773C2×D61—21no—
774C2×D61—22no—
775C2×D61—41no—
776C2×D61—41no—
777C2×D61—84no—
778C2×D61D4×Q812yes—
779C4×C61—21no—
780C4×C61—21no—
781C4×C61—21no—
782C4×C61—21no—
783C4×C61—21no—
784C4×C61—21no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61C23×Q811yescharacteristic
792C4×C61C2×2−1+411yescharacteristic
793Dic61—21no—
794Dic61—21no—
795Dic61—21no—
796Dic61—22no—
797Dic61—21no—
798Dic61—21no—
799Dic61—41no—
800Dic61—41no—
801Dic61—41no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61D4×Q812yes—
806Dic61#57612yes—
807#3503—611no—
808#3501—611no—
809#3389—611no—
810#3389—611no—
811#3389—611no—
812#3389D6111yescharacteristic, complemented
813#3386—611no—
814#3386—611no—
815#3385—611no—
816#3385—611no—
817#3385—611no—
818#3385—611no—
819#3384—611no—
820#3384—611no—
821#3381—611no—
822#3381—611no—
823Q8×D8—611no—
824Q8×D8—611no—
825#3165—611no—
826#3164—611no—
827#3164—611no—
828#3083—611no—
829#3083—611no—
830#3081—611no—
831#3081—611no—
832#3076—611no—
833C2×#474—611no—
834#2962—611no—
835#2946—611no—
836#2946—611no—
837C4×AGL(1,ℤ/8)—611no—
838C2×C61—42no—
839C2×C61—42no—
840C2×C61C2×D4×Q811yescharacteristic
841C2×C61C2×#57611yescharacteristic
842C2×C61#358611yescharacteristic
843D61—22no—
844D61—42no—
845C2×AGL(1,ℤ/8)—611no—
846Q82—611no—
847Q82—611no—
848#557—611no—
849#557—611no—
850#554—611no—
851#554—611no—
852#554—611no—
853#554—611no—
854#554—611no—
855#554—611no—
856#554—1221no—
857#554—1221no—
858#554—1221no—
859#554—1221no—
860#554—1221no—
861#554C2×D6111yescharacteristic
862#554C2×D6111yescharacteristic, complemented
863D4×Q8—611no—
864D4×Q8—611no—
865D4×Q8—611no—
866D4×Q8—611no—
867D4×Q8—1221no—
868D4×Q8—1221no—
869D4×Q8—1221no—
870#544—611no—
871#544—611no—
872#544—611no—
873#544—611no—
874#544—1221no—
875#544—1221no—
876#543—1221no—
877#543—1221no—
878#533—611no—
879#533—611no—
880#533—1221no—
881C2×C4⋊Q8—611no—
882C2×C4⋊Q8—1221no—
883C2×C22⋊Q8—1221no—
884C2×C22⋊Q8—1221no—
885#520—611no—
886#520—611no—
887#518—611no—
888#518—611no—
889C4×#41—611no—
890C2×C4×D4—611no—
891#501—611no—
892#501—611no—
893#501—611no—
894#501—611no—
895#501—611no—
896#501—611no—
897#501—611no—
898#501—611no—
899#501—611no—
900#501—611no—
901#501C2×D6111yescharacteristic, complemented
902#501C2×D6111yescharacteristic, complemented
903#500—611no—
904#500—611no—
905#500—611no—
906#500—611no—
907#500—611no—
908#500—611no—
909#499—611no—
910#499—611no—
911#499—611no—
912#499C2×D6111yescharacteristic, complemented
913#498—611no—
914#498—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#479—611no—
921#478—611no—
922#478—611no—
923#478—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#478—611no—
928#478—611no—
929#478—611no—
930#478—611no—
931#478C2×D6111yescharacteristic
932#478C2×D6111yescharacteristic
933#478C2×D6111yescharacteristic, complemented
934#478C2×D6111yescharacteristic, complemented
935#477—611no—
936#477—611no—
937#477—611no—
938#477—611no—
939#477—611no—
940#476—611no—
941#476—611no—
942#476—611no—
943#476—611no—
944#476—611no—
945#475—611no—
946#474—611no—
947#474—611no—
948#474—611no—
949#474—611no—
950#474—611no—
951#474—611no—
952#474—611no—
953#474—611no—
954#474—611no—
955#474—611no—
956#474—611no—
957#474—611no—
958#474—611no—
959#474—611no—
960#474—611no—
961#474C2×D6111yescharacteristic
962#474C2×D6111yescharacteristic, complemented
963#446—611no—
964#446—611no—
965#446—611no—
966#446—611no—
967#446—611no—
968#446C2×D6111yescharacteristic, complemented
969C8×Q8—611no—
970C8×Q8—611no—
971#442—611no—
972#442—611no—
973#442—611no—
974#442—611no—
975#442C2×D6111yescharacteristic
976#442C2×D6111yescharacteristic
977#440—611no—
978#440—611no—
979#440—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983C4×SD16—611no—
984C4×SD16—611no—
985C4×SD16—611no—
986C4×SD16—611no—
987C4×SD16—611no—
988C4×SD16—611no—
989C4×D8—611no—
990C4×D8—611no—
991C4×D8—611no—
992C4×D8—611no—
993C4×D8—611no—
994C4×D8C2×D6111yescharacteristic
995#428—611no—
996#428—611no—
997#428—611no—
998#428—611no—
999#428—611no—
1000#427—611no—
1001#427—611no—
1002C2×#107—611no—
1003C2×#107—611no—
1004#424—611no—
1005#424—611no—
1006C2×C4⋊C8—611no—
1007#418—611no—
1008#417—611no—
1009#416—611no—
1010#416—611no—
1011C2×#102—611no—
1012C2×#102—611no—
1013#405—611no—
1014#405—611no—
1015C4×M16—611no—
1016C61#6138111yescharacteristic, complemented, Sylow
1017C2×#41—611no—
1018C22×Q8—1221no—
1019C22×Q8—1221no—
1020C22×Q8—1221no—
1021C22×Q8—1221no—
1022C22×Q8—1221no—
1023C22×D4—611no—
1024C23×C4—1221no—
1025AGL(1,ℤ/8)—618no—
1026C2×SD16—611no—
1027C2×SD16—611no—
1028C2×D8—611no—
1029C2×D8C22×D6111yescharacteristic
1030C2×M16—611no—
1031C2×M16—611no—
1032C22×C8—611no—
1033C22×C8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—611no—
1036C4⋊Q8—611no—
1037C4⋊Q8—611no—
1038C4⋊Q8—611no—
1039C4⋊Q8—611no—
1040C4⋊Q8—611no—
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—611no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8—1221no—
1051C4⋊Q8—1221no—
1052C4⋊Q8—1221no—
1053C4⋊Q8—1221no—
1054C4⋊Q8—1221no—
1055C4⋊Q8—1221no—
1056C4⋊Q8—1221no—
1057C4⋊Q8—1221no—
1058C4⋊Q8—1221no—
1059C4⋊Q8—1221no—
1060C4⋊Q8—1221no—
1061C4⋊Q8—1221no—
1062C4⋊Q8C22×D6111yescharacteristic
1063C4⋊Q8C22×D6111yescharacteristic
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
1071#125—611no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125C22×D6111yescharacteristic
1081#125C22×D6111yescharacteristic
1082#125C22×D6111yescharacteristic
1083#125C22×D6111yescharacteristic
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—611no—
1091C22⋊Q8—611no—
1092C22⋊Q8—611no—
1093C22⋊Q8—611no—
1094C22⋊Q8—1221no—
1095C22⋊Q8—1221no—
1096C22⋊Q8—1221no—
1097C22⋊Q8—1221no—
1098C22⋊Q8—1221no—
1099C22⋊Q8—1221no—
1100C22⋊Q8—1221no—
1101C22⋊Q8—1221no—
1102C22⋊Q8—1221no—
1103C22⋊Q8—1221no—
1104C22⋊Q8—1221no—
1105C22⋊Q8—1221no—
1106C22⋊Q8—1221no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—1221no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8C22×D6111yescharacteristic
1150C4×D4—611no—
1151C4×D4—611no—
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—611no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—1221no—
1163C4×D4—1221no—
1164C4×D4—1221no—
1165C4×D4—1221no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4—1221no—
1171C4×D4—1221no—
1172C4×D4—1221no—
1173C4×D4—1221no—
1174C4×D4C22×D6111yescharacteristic
1175C4×D4C22×D6111yescharacteristic
1176C4×D4C22×D6111yescharacteristic
1177C4×D4C22×D6111yescharacteristic
1178C4×D4C22×D6111yescharacteristic
1179C4×D4C22×D6111yescharacteristic
1180#117—611no—
1181#117—611no—
1182#117—611no—
1183#117—611no—
1184#117—611no—
1185#117—1221no—
1186#117—1221no—
1187#117—1221no—
1188C2×C4⋊C4—21no—
1189C2×C4⋊C4—21no—
1190C2×C4⋊C4—611no—
1191C2×C4⋊C4—611no—
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—1221no—
1194C2×C4⋊C4—1221no—
1195C2×C4⋊C4—1221no—
1196C2×C4⋊C4—1221no—
1197C2×C4⋊C4—1221no—
1198C2×C4⋊C4—1221no—
1199C2×C4⋊C4—1221no—
1200C2×C4⋊C4—1221no—
1201C2×C4⋊C4—1221no—
1202C2×C22⋊C4—1221no—
1203C2×C22⋊C4—1221no—
1204C2×C22⋊C4—1221no—
1205C2×C22⋊C4—1221no—
1206C2×C22⋊C4—1221no—
1207C2×C42—611no—
1208C2×C42—1221no—
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107—611no—
1216#107—611no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107—611no—
1226#107C22×D6111yescharacteristic
1227#107C22×D6111yescharacteristic
1228#107C22×D6111yescharacteristic
1229#107C22×D6111yescharacteristic
1230#107C22×D6111yescharacteristic
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106—611no—
1238#106—611no—
1239#106—611no—
1240#106—611no—
1241#106C22×D6111yescharacteristic
1242#106C22×D6111yescharacteristic
1243#106C22×D6111yescharacteristic
1244#106C22×D6111yescharacteristic
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250C4⋊C8—611no—
1251C4⋊C8—611no—
1252C4⋊C8—611no—
1253C4⋊C8—611no—
1254C4⋊C8C22×D6111yescharacteristic
1255C4⋊C8C22×D6111yescharacteristic
1256C4⋊C8C22×D6111yescharacteristic
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#102—611no—
1264#102—611no—
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102C22×D6111yescharacteristic
1276#102C22×D6111yescharacteristic
1277#102C22×D6111yescharacteristic
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#97—611no—
1282#97—611no—
1283#97—611no—
1284#97—611no—
1285#97C22×D6111yescharacteristic
1286#97C22×D6111yescharacteristic
1287C4×C8—611no—
1288C4×C8—611no—
1289C4×C8—611no—
1290C4×C8—611no—
1291C4×C8—611no—
1292C4×C8C22×D6111yescharacteristic
1293C24—1221no—
1294#41—614no—
1295#41—1222no—
1296C2×Q8—21no—
1297C2×Q8—21no—
1298C2×Q8—611no—
1299C2×Q8—611no—
1300C2×Q8—611no—
1301C2×Q8—611no—
1302C2×Q8—1221no—
1303C2×Q8—1221no—
1304C2×Q8—1221no—
1305C2×Q8—1221no—
1306C2×Q8—1221no—
1307C2×Q8—1221no—
1308C2×Q8—1221no—
1309C2×Q8—1221no—
1310C2×Q8—1221no—
1311C2×Q8—1221no—
1312C2×Q8—1221no—
1313C2×Q8—1221no—
1314C2×Q8—4882no—
1315C2×Q8—4882no—
1316C2×Q8—4882no—
1317C2×Q8—4882no—
1318C2×Q8—4882no—
1319C2×Q8D4×D6111yescharacteristic
1320C2×D4—614no—
1321C2×D4—611no—
1322C2×D4—1222no—
1323C2×D4—1221no—
1324C2×D4—1221no—
1325C2×D4C23×D6111yescharacteristic
1326C2×D4C23×D6111yescharacteristic
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—611no—
1334C22×C4—611no—
1335C22×C4—611no—
1336C22×C4—1221no—
1337C22×C4—1221no—
1338C22×C4—1221no—
1339C22×C4—1221no—
1340C22×C4—1221no—
1341C22×C4—1221no—
1342C22×C4—1221no—
1343C22×C4—1221no—
1344C22×C4—1221no—
1345C22×C4—1221no—
1346C22×C4—1221no—
1347C22×C4—1221no—
1348C22×C4—1221no—
1349C22×C4—1221no—
1350C22×C4—1221no—
1351C22×C4—1221no—
1352C22×C4—4882no—
1353SD16—614no—
1354SD16—614no—
1355D8—614no—
1356D8Q8×D6114yescomplemented
1357M16—614no—
1358M16—1222no—
1359C2×C8—611no—
1360C2×C8—611no—
1361C2×C8—611no—
1362C2×C8—611no—
1363C2×C8—1222no—
1364C2×C8—1222no—
1365C2×C8C23×D6111yescharacteristic
1366C2×C8C23×D6111yescharacteristic
1367C2×C8C23×D6111yescharacteristic
1368C2×C8C23×D6111yescharacteristic
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—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
1382C4⋊C4—611no—
1383C4⋊C4—611no—
1384C4⋊C4—611no—
1385C4⋊C4—611no—
1386C4⋊C4—611no—
1387C4⋊C4—611no—
1388C4⋊C4—611no—
1389C4⋊C4—611no—
1390C4⋊C4—611no—
1391C4⋊C4—611no—
1392C4⋊C4—611no—
1393C4⋊C4—611no—
1394C4⋊C4—611no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4D4×D6111yescharacteristic
1432C4⋊C4D4×D6111yescharacteristic
1433C4⋊C4D4×D6111yescharacteristic
1434C4⋊C4C23×D6111yescharacteristic
1435C4⋊C4C23×D6111yescharacteristic
1436C4⋊C4C23×D6111yescharacteristic
1437C4⋊C4C23×D6111yescharacteristic
1438C4⋊C4C23×D6111yescharacteristic
1439C4⋊C4C23×D6111yescharacteristic
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—611no—
1447C22⋊C4—611no—
1448C22⋊C4—611no—
1449C22⋊C4—611no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C42—611no—
1466C42—611no—
1467C42—611no—
1468C42—611no—
1469C42—611no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42C23×D6111yescharacteristic
1480C42C23×D6111yescharacteristic
1481C42C23×D6111yescharacteristic
1482C23—21no—
1483C23—21no—
1484C23—611no—
1485C23—1224no—
1486C23—1221no—
1487C23—4881no—
1488C23—4881no—
1489Q8—41no—
1490Q8—81no—
1491Q8—81no—
1492Q8—612no—
1493Q8—1222no—
1494Q8—1222no—
1495Q8—1221no—
1496Q8—4881no—
1497Q8—4881no—
1498Q8—4881no—
1499Q8—4881no—
1500Q8—4881no—
1501Q8—4881no—
1502Q8—4881no—
1503Q8—4881no—
1504Q8—4881no—
1505Q8—2441no—
1506Q8—2442no—
1507Q8—2442no—
1508Q8—2442no—
1509D4—21no—
1510D4—21no—
1511D4—612no—
1512D4—1224no—
1513D4—1224no—
1514D4—1221no—
1515D4C2×Q8×D6112yes—
1516D4C2×Q8×D6112yes—
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—611no—
1530C2×C4—611no—
1531C2×C4—612no—
1532C2×C4—612no—
1533C2×C4—611no—
1534C2×C4—611no—
1535C2×C4—611no—
1536C2×C4—611no—
1537C2×C4—611no—
1538C2×C4—1222no—
1539C2×C4—1224no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—4881no—
1548C2×C4—4881no—
1549C2×C4—4881no—
1550C2×C4—4881no—
1551C2×C4—4881no—
1552C2×C4—4881no—
1553C2×C4—4881no—
1554C2×C4—4881no—
1555C2×C4—4881no—
1556C2×C4—4881no—
1557C2×C4—4881no—
1558C2×C4—4881no—
1559C2×C4—2441no—
1560C2×C4—2442no—
1561C2×C4—2442no—
1562C2×C4—2442no—
1563C2×C4C2×D4×D6111yescharacteristic
1564C2×C4C2×D4×D6111yescharacteristic
1565C2×C4C2×D4×D6111yescharacteristic
1566C2×C4C2×D4×D6111yescharacteristic
1567C2×C4C2×D4×D6111yescharacteristic
1568C2×C4C2×D4×D6111yescharacteristic
1569C2×C4C24×D6111yescharacteristic
1570C8—21no—
1571C8—21no—
1572C8—21no—
1573C8—612no—
1574C8—1221no—
1575C8—1221no—
1576C8—1221no—
1577C8C2×Q8×D6112yes—
1578C22—22no—
1579C22—22no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—612no—
1585C22—1221no—
1586C22—1221no—
1587C22—1222no—
1588C22—4884no—
1589C22—2441no—
1590C22—2441no—
1591C22C22×D4×D6111yescharacteristic
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—612no—
1605C4—612no—
1606C4—1221no—
1607C4—1221no—
1608C4—1222no—
1609C4—1221no—
1610C4—1221no—
1611C4—1221no—
1612C4—2441no—
1613C4—2441no—
1614C4—2441no—
1615C4—2441no—
1616C4—2441no—
1617C4—2441no—
1618C4C22×Q8×D6111yescharacteristic
1619C42−1+4×D6111yescharacteristic
1620C2—42no—
1621C2—42no—
1622C2—1222no—
1623C2—2442no—
1624C2D4×Q8×D6111yescharacteristic
1625C2#576×D6111yescharacteristic
1626C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3389C2
socleC22×C61C23×D4
prime radicalC2×#14519801C22
hypercenter#3389D61
hypocenterC61#61381
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #21459633C2semidirect
2. #21459618C2semidirect
3. #21458778C2semidirect
4. #21458776C2semidirect
5. #21458773C2semidirect
6. #21458737C2semidirect
7. #21458735C2semidirect
8. #21458731C2semidirect
9. #21458729C2semidirect
10. #21458726C2semidirect
11. #21458724C2semidirect
12. #21458721C2semidirect
13. #21458719C2semidirect
14. #21458691C2semidirect
15. #21458689C2semidirect
16. D8×Dic122C2semidirect
17. #21458669C2semidirect
18. #21456364C2semidirect
19. #21456356C2semidirect
20. #21456354C2semidirect
21. #21455671C2semidirect
22. #21455665C2semidirect
23. #21455649C2semidirect
24. #21455647C2semidirect
25. #21455604C2semidirect
26. #474×D61C2semidirect
27. #21454764C2semidirect
31. C61×#3389C2semidirect
33. Q8×Dic122C22semidirect
34. #16840492C22semidirect
35. #16840489C22semidirect
36. #16840489C22semidirect
41. #16840469C22semidirect
49. D4×Dic122C22semidirect
50. D4×Dic122C22semidirect
76. #16840172C22semidirect
77. #16840172C22semidirect
78. #16840172C22semidirect
79. #16840171C22semidirect
80. #16840171C22semidirect
81. #16840170C22semidirect
82. #16840169C22semidirect
83. #16840169C22semidirect
84. #16840169C22semidirect
85. #16840168C22semidirect
86. #16840167C22semidirect
87. #16840166C22semidirect
88. #16840166C22semidirect
89. #16840166C22semidirect
90. #16840166C22semidirect
91. #16840165C22semidirect
92. #16840163C22semidirect
93. #16840162C22semidirect
94. #16840161C22semidirect
95. #16840159C22semidirect
96. #16840159C22semidirect
97. #16840072C22semidirect
98. #16840070C22semidirect
99. #16840070C22semidirect
100. #16840068C22semidirect
101. #16840066C22semidirect
102. #16840066C22semidirect
105. #16840064C22semidirect
106. #16840062C22semidirect
107. #16840062C22semidirect
110. #16840060C22semidirect
113. #16840058C22semidirect
114. #16840056C22semidirect
115. #16840056C22semidirect
116. #16840056C22semidirect
117. #16840054C22semidirect
122. #16840050C22semidirect
123. #16840046C22semidirect
128. #16840042C22semidirect
135. #16840040C22semidirect
136. #16840040C22semidirect
137. #16840040C22semidirect
139. #16839893C22semidirect
140. #16839891C22semidirect
141. #16839891C22semidirect
142. #16839890C22semidirect
143. #16839890C22semidirect
144. C8×Dic122C22semidirect
145. #16839886C22semidirect
189. C61×#554C22semidirect
190. C61×#501C22semidirect
191. C61×#501C22semidirect
192. C61×#499C22semidirect
195. C61×#478C22semidirect
196. C61×#478C22semidirect
198. C61×#474C22semidirect
199. C61×#446C22semidirect
211. #14519801Q8semidirect
503. #11758224C2×Q8semidirect
505. D4×D61C2×Q8semidirect
539. D8×C61C2×Q8semidirect
578. #11758200C2×Q8semidirect
579. #11758199C2×Q8semidirect
663. #11758190C2×Q8semidirect
665. #11758189C2×Q8semidirect
812. #3389D61semidirect
862. #554C2×D61semidirect
901. #501C2×D61semidirect
902. #501C2×D61semidirect
912. #499C2×D61semidirect
933. #478C2×D61semidirect
934. #478C2×D61semidirect
962. #474C2×D61semidirect
968. #446C2×D61semidirect
1016. C61#61381semidirect
1356. D8Q8×D61semidirect

Maximal subgroups

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

subgroupindex
#214596332
#214596182
#214587782
#214587762
#214587732
#214587372
#214587352
#214587312
#214587292
#214587262
#214587242
#214587212
#214587192
#214586912
#214586892
D8×Dic1222
#214586692
#214563642
#214563562
#214563542
#214556712
#214556652
#214556492
#214556472
#214556042
#474×D612
#214547642
#214546482
#214546442
#214546302
C61×#33892
#6138161