Finite Group Databasebeta

← #30573329

Subgroups — #30573329

Order 15616.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460263C211yesmaximal, characteristic, complemented
2#21459757C211yesmaximal, characteristic, complemented
3#21458878C211yesmaximal, characteristic, complemented
4#21458871C211yesmaximal, characteristic, complemented
5#21458644C211yesmaximal, characteristic, complemented
6#21458603C211yesmaximal, characteristic, complemented
7#21457996C211yesmaximal, characteristic, complemented
8#21457867C211yesmaximal, characteristic, complemented
9#21457805C211yesmaximal, characteristic, complemented
10#21457790C211yesmaximal, characteristic, complemented
11#21457703C211yesmaximal, characteristic, complemented
12#21457679C211yesmaximal, characteristic, complemented
13#21457533C211yesmaximal, characteristic, complemented
14#21457510C211yesmaximal, characteristic, complemented
15#21457341C211yesmaximal, characteristic, complemented
16#21457336C211yesmaximal, characteristic, complemented
17#21457336C211yesmaximal, characteristic, complemented
18#21457309C211yesmaximal, characteristic, complemented
19#21457249C211yesmaximal, characteristic, complemented
20#21457170C211yesmaximal, characteristic, complemented
21#21456927C211yesmaximal, characteristic, complemented
22#21456874C211yesmaximal, characteristic, complemented
23#21456845C211yesmaximal, characteristic, complemented
24#21456073C211yesmaximal, characteristic, complemented
25#21456027C211yesmaximal, characteristic, complemented
26#21455962C211yesmaximal, characteristic, complemented
27#21455371C211yesmaximal, characteristic, complemented
28#21455326C211yesmaximal, characteristic, complemented
29#461×D61C211yesmaximal, characteristic, complemented
30#21454956C211yesmaximal, characteristic, complemented
31C61×#3260C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519804C2211yescharacteristic
34C2×#14519799C2211yescharacteristic
35C2×SD16×D61C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic
37C2×SD16×D61C2211yescharacteristic
38#16840516—21no—
39#16840514—21no—
40#16840498C2211yescharacteristic
41#16840490C2211yescharacteristic, complemented
42#16840484C2211yescharacteristic, complemented
43#16840468—21no—
44#16840468C2211yescharacteristic
45#16840464C2211yescharacteristic
46#16840463—21no—
47#16840459—21no—
48#16840450C2211yescharacteristic
49#16840440—21no—
50#16840435—21no—
51Q8×D244C2211yescharacteristic
52#16840425C2211yescharacteristic, complemented
53#16840425C2211yescharacteristic, complemented
54#16840424C2211yescharacteristic
55#16840422C2211yescharacteristic, complemented
56#16840414C2211yescharacteristic, complemented
57#16840412C2211yescharacteristic
58#16840409C2211yescharacteristic
59#16840409C2211yescharacteristic
60#16840401—21no—
61#16840397C2211yescharacteristic
62#16840392—21no—
63#16840378—21no—
64#16840377C2211yescharacteristic
65#16840375C2211yescharacteristic, complemented
66#16840360—21no—
67#16840355—21no—
68#16840353—21no—
69#16840344—21no—
70#16840338C2211yescharacteristic, complemented
71#16840337C2211yescharacteristic, complemented
72C4⋊Q8×D61C2211yescharacteristic, complemented
73#16840297C2211yescharacteristic, complemented
74#16840294C2211yescharacteristic
75#16840290C2211yescharacteristic
76#16840272—21no—
77#123×D61—21no—
78#16840242C2211yescharacteristic
79#16840234C2211yescharacteristic
80C4×D4×D61C2211yescharacteristic
81#16840153C2211yescharacteristic, complemented
82#16840153C2211yescharacteristic, complemented
83#16840153C2211yescharacteristic, complemented
84#16840149C2211yescharacteristic
85#16840143C2211yescharacteristic, complemented
86#16840134C2211yescharacteristic
87#16840132C2211yescharacteristic, complemented
88#16840129C2211yescharacteristic, complemented
89#16840129C2211yescharacteristic, complemented
90#16840123C2211yescharacteristic, complemented
91#16840119C2211yescharacteristic, complemented
92#16840111C2211yescharacteristic, complemented
93#16840106C2211yescharacteristic, complemented
94#16840105C2211yescharacteristic, complemented
95#16840095C2211yescharacteristic, complemented
96#16840094C2211yescharacteristic, complemented
97#16840090C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic, complemented
99#16840072C2211yescharacteristic, complemented
100#16840066C2211yescharacteristic, complemented
101#16840065C2211yescharacteristic, complemented
102#16840059C2211yescharacteristic
103#16840056C2211yescharacteristic, complemented
104#16840046C2211yescharacteristic, complemented
105#16840021C2211yescharacteristic, complemented
106#16840007C2211yescharacteristic
107#16840004C2211yescharacteristic, complemented
108#16840004C2211yescharacteristic, complemented
109#16839997C2211yescharacteristic
110#16839992C2211yescharacteristic, complemented
111#16839990C2211yescharacteristic
112#16839990C2211yescharacteristic
113#16839985C2211yescharacteristic, complemented
114#16839985C2211yescharacteristic, complemented
115#16839983C2211yescharacteristic, complemented
116#16839983C2211yescharacteristic, complemented
117#16839983C2211yescharacteristic, complemented
118#16839980C2211yescharacteristic
119#16839979C2211yescharacteristic, complemented
120#16839978C2211yescharacteristic
121#16839978C2211yescharacteristic
122#16839977C2211yescharacteristic, complemented
123#16839977C2211yescharacteristic, complemented
124#16839976C2211yescharacteristic, complemented
125#16839973C2211yescharacteristic, complemented
126#16839973C2211yescharacteristic, complemented
127#16839969C2211yescharacteristic, complemented
128#16839968C2211yescharacteristic
129#16839968C2211yescharacteristic
130#16839967C2211yescharacteristic, complemented
131#16839967C2211yescharacteristic, complemented
132#16839966C2211yescharacteristic
133#16839966C2211yescharacteristic
134#16839966C2211yescharacteristic
135#16839965C2211yescharacteristic, complemented
136#16839965C2211yescharacteristic, complemented
137#16839965C2211yescharacteristic, complemented
138#16839964C2211yescharacteristic
139#16839927C2211yescharacteristic, complemented
140#16839922C2211yescharacteristic
141#16839922C2211yescharacteristic
142#16839919C2211yescharacteristic, complemented
143#16839919C2211yescharacteristic, complemented
144#16839919C2211yescharacteristic, complemented
145#16839914C2211yescharacteristic
146#16839914C2211yescharacteristic
147#16839914C2211yescharacteristic
148#16839906C2211yescharacteristic
149#16839905C2211yescharacteristic, complemented
150#16839905C2211yescharacteristic, complemented
151#16839900C2211yescharacteristic, complemented
152#16839900C2211yescharacteristic, complemented
153#16839899C2211yescharacteristic
154#16839899C2211yescharacteristic
155#16839899C2211yescharacteristic
156#16839897C2211yescharacteristic
157#16839891C2211yescharacteristic, complemented
158#16839889C2211yescharacteristic, complemented
159#16839873C2211yescharacteristic
160#16839871C2211yescharacteristic, complemented
161#16839867C2211yescharacteristic, complemented
162#16839861C2211yescharacteristic
163#16839861C2211yescharacteristic
164#16839860C2211yescharacteristic
165#16839859C2211yescharacteristic, complemented
166#16839859C2211yescharacteristic, complemented
167C4×#11758202C2211yescharacteristic, complemented
168#16839853C2211yescharacteristic, complemented
169C4×#11758201C2211yescharacteristic
170#16839849C2211yescharacteristic
171#16839833C2211yescharacteristic, complemented
172#16839832C2211yescharacteristic
173#16839831C2211yescharacteristic, complemented
174#16839831C2211yescharacteristic, complemented
175#16839827C2211yescharacteristic
176C8×C22⋊D61C2211yescharacteristic, complemented
177#16839823C2211yescharacteristic, complemented
178#16839822C2211yescharacteristic, complemented
179#16839818C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839764C2211yescharacteristic, complemented
184#16839757C2211yescharacteristic, complemented
185C2×#14519702C2211yescharacteristic, complemented
186#103×D61C2211yescharacteristic, complemented
187#103×D61C2211yescharacteristic, complemented
188C61×#541C2211yescharacteristic, complemented
189C61×#540C2211yescharacteristic
190C61×#479C2211yescharacteristic, complemented
191C61×#479C2211yescharacteristic, complemented
192C61×#478C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#465C2211yescharacteristic, complemented
197C61×#465C2211yescharacteristic, complemented
198C61×#461C2211yescharacteristic, complemented
199C61×#461C2211yescharacteristic, complemented
200C61×#460C2211yescharacteristic
201C61×#460C2211yescharacteristic
202C61×#424C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C22×Dic122C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C2×D4×D61—21no—
212C2×D4×D61C2311yescharacteristic
213C2×D4×D61C2311yescharacteristic
214C22×C4×D61—21no—
215#14519810—42no—
216#14519804—42no—
217#14519799—42no—
218C2×Dic244C2311yescharacteristic
219C2×Dic244C2311yescharacteristic
220C2×Dic244C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235SD16×D61—42no—
236SD16×D61—42no—
237SD16×D61—42no—
238C2×D488C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758189C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245#14519777—21no—
246#14519777C2311yescharacteristic
247#14519777C2311yescharacteristic
248#14519776—21no—
249#14519776—21no—
250#14519776—21no—
251#14519776—21no—
252#14519776C2311yescharacteristic
253#14519775C2311yescharacteristic
254#14519775C2311yescharacteristic
255#14519775C2311yescharacteristic
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519772D411yescharacteristic
262#14519771—21no—
263#14519770—21no—
264#14519770—21no—
265#14519770—21no—
266#14519770D411yescharacteristic
267#14519769—21no—
268#14519768—21no—
269#14519768—21no—
270#14519768—21no—
271#14519768C2311yescharacteristic
272#14519767—21no—
273#14519767—21no—
274#14519767D411yescharacteristic
275#14519766C2311yescharacteristic
276#14519765—21no—
277#14519765C2311yescharacteristic
278#14519765C2311yescharacteristic
279#14519764—21no—
280#14519764C2311yescharacteristic
281#14519764C2311yescharacteristic
282#14519763—21no—
283#14519763—21no—
284#14519763D411yescharacteristic
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519762—21no—
289#14519762—21no—
290#14519762D411yescharacteristic
291#14519761—21no—
292#14519761—21no—
293#14519761—21no—
294#14519760—21no—
295#14519759—21no—
296#14519759—21no—
297#14519759—21no—
298#14519759—21no—
299#14519759—21no—
300#14519759D411yescharacteristic
301#14519758—21no—
302#14519758—21no—
303#14519758—21no—
304#14519757—21no—
305#14519757—21no—
306#14519757—21no—
307#14519757—21no—
308#14519757—21no—
309#14519757—21no—
310#14519757C2311yescharacteristic
311#14519757C2311yescharacteristic
312#14519757C2311yescharacteristic
313#14519757C2311yescharacteristic
314#14519757C2311yescharacteristic
315#14519756—21no—
316#14519755—21no—
317#14519755—21no—
318#14519755—21no—
319#14519755—21no—
320#14519755—21no—
321#14519755—21no—
322#14519755—21no—
323#14519755—21no—
324#14519755D411yescharacteristic
325#14519754—21no—
326#14519754—21no—
327#14519754—21no—
328#14519752—21no—
329#14519752C2311yescharacteristic
330#14519750—21no—
331#14519750—21no—
332#14519750D411yescharacteristic
333#14519749—21no—
334#14519748—21no—
335#14519748—21no—
336#14519748—21no—
337#14519748C2311yescharacteristic
338#14519748C2311yescharacteristic
339#14519745—21no—
340#14519745—21no—
341#14519745—21no—
342#14519745—21no—
343C4×Dic122—21no—
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346C4×Dic122C2311yescharacteristic
347#14519742C2311yescharacteristic
348#14519742C2311yescharacteristic
349#14519742C2311yescharacteristic
350C4×D244—21no—
351C4×D244—21no—
352C4×D244C2311yescharacteristic
353C4×D244C2311yescharacteristic
354C4×D244C2311yescharacteristic
355D4×Dic61—21no—
356D4×Dic61—21no—
357D4×Dic61C2311yescharacteristic
358D4×Dic61C2311yescharacteristic
359#14519739—21no—
360#14519739—21no—
361#14519739C2311yescharacteristic
362#14519739C2311yescharacteristic
363#14519739C2311yescharacteristic
364C4×C22⋊D61—21no—
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61C2311yescharacteristic
368C4×C22⋊D61C2311yescharacteristic
369#14519737—21no—
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519737—21no—
375#14519736—21no—
376#14519735—21no—
377#14519735—21no—
378#14519735—21no—
379#14519735C2311yescharacteristic
380#14519734—21no—
381#14519734C2311yescharacteristic
382C2×C4⋊Dic61C2311yescharacteristic
383C4⋊C4×D61—21no—
384C4⋊C4×D61—21no—
385C4⋊C4×D61—21no—
386C4⋊C4×D61—21no—
387C4⋊C4×D61—21no—
388C4⋊C4×D61C2311yescharacteristic
389C2×#11758198—21no—
390C22⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C22⋊C4×D61—21no—
393C22⋊C4×D61—21no—
394C42×D61C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C4×#92418C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×M16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448#127×C61C2311yescharacteristic
449#126×C61—21no—
450#126×C61—21no—
451#125×C61—21no—
452#125×C61—21no—
453#125×C61C2311yescharacteristic
454#125×C61C2311yescharacteristic
455#123×C61—21no—
456#123×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459#121×C61—21no—
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475C4⋊C8×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C2×Q8×C61C2411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61C2411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61C2411yescharacteristic
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61C2×D411yescharacteristic
504C2×C22⋊D61C2×D411yescharacteristic
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509#11758226—41no—
510#11758226—41no—
511Q8×D61—41no—
512Q8×D61—41no—
513Q8×D61—41no—
514Q8×D61—41no—
515Q8×D61—41no—
516Q8×D61—41no—
517#11758224—82no—
518D4×D61—22no—
519D4×D61—22no—
520D4×D61—41no—
521D4×D61—41no—
522D4×D61—82no—
523#11758222—22no—
524#11758222—41no—
525#11758222—41no—
526#11758222—41no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244C2×D411yescharacteristic
530C2×D244C2411yescharacteristic
531C2×D244C2411yescharacteristic
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—82no—
545C2×C4×D61C2×D411yescharacteristic
546C2×C4×D61C2×D411yescharacteristic
547C2×C4×D61C2411yescharacteristic
548C2×C4×D61C2411yescharacteristic
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122—41no—
555C2×Dic122—41no—
556C2×Dic122C2×D411yescharacteristic
557C2×Dic122C2411yescharacteristic
558C2×Dic122C2411yescharacteristic
559C2×Dic122C2411yescharacteristic
560C2×Dic122C2411yescharacteristic
561SD16×C61—41no—
562SD16×C61—41no—
563SD16×C61—41no—
564SD16×C61—41no—
565M16×C61—41no—
566C2×C8×C61—41no—
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61C2×D411yescharacteristic
582C4⋊C4×C61C2×D411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
584C4⋊C4×C61C2411yescharacteristic
585C4⋊C4×C61C2411yescharacteristic
586C4⋊C4×C61C2411yescharacteristic
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61C2×D411yescharacteristic
594C22⋊C4×C61C2×D411yescharacteristic
595C42×C61—21no—
596C42×C61—21no—
597C42×C61C2411yescharacteristic
598C42×C61C2411yescharacteristic
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61C2×D411yescharacteristic
608C22⋊Dic61C2×D411yescharacteristic
609#11758202—41no—
610#11758202—41no—
611#11758201—22no—
612#11758201—22no—
613#11758200—41no—
614#11758200—41no—
615#11758200—41no—
616#11758200—41no—
617#11758200—41no—
618#11758200—41no—
619#11758199—41no—
620#11758199—41no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198C2×D411yescharacteristic
640#11758198C2×D411yescharacteristic
641#11758198C2×D411yescharacteristic
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644#11758198C2×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⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61C2×D411yescharacteristic
657C4⋊Dic61C2×D411yescharacteristic
658C4⋊Dic61C2411yescharacteristic
659C4⋊Dic61C2411yescharacteristic
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678#11758196C2×D411yescharacteristic
679#11758196C2×D411yescharacteristic
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61C2×D411yescharacteristic
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694Dic244—41no—
695Dic244—41no—
696Dic244—41no—
697D488—22no—
698#11758190—22no—
699#11758190—22no—
700#11758190—22no—
701#11758190—41no—
702#11758189—41no—
703C8×D61—41no—
704C8×D61—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61C22×D411yescharacteristic
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—42no—
712C22×D61—42no—
713C22×D61—42no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61C22×D411yescharacteristic
718C22×D61C22×D411yescharacteristic
719Q8×C61—21no—
720Q8×C61—21no—
721Q8×C61—21no—
722Q8×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—21no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730D4×C61—81no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—81no—
740C2×C4×C61—81no—
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C2511yescharacteristic
747C22⋊D61—22no—
748C22⋊D61—41no—
749C22⋊D61—42no—
750C22⋊D61—42no—
751C22⋊D61—42no—
752C22⋊D61—42no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—81no—
762C2×Dic61—81no—
763C2×Dic61—81no—
764C2×Dic61—81no—
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771D244—22no—
772D244—21no—
773D244—21no—
774D244—21no—
775D244—42no—
776D244—81no—
777D244H(5,𝔽2)12yes—
778C4×D61—22no—
779C4×D61—21no—
780C4×D61—21no—
781C4×D61—21no—
782C4×D61—21no—
783C4×D61—41no—
784C4×D61—42no—
785C4×D61—42no—
786C4×D61—42no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791C4×D61—81no—
792C4×D61—81no—
793C4×D61—81no—
794C4×D61—81no—
795C4×D61—81no—
796Dic122—21no—
797Dic122—21no—
798Dic122—21no—
799Dic122—21no—
800Dic122—21no—
801Dic122—21no—
802Dic122—21no—
803Dic122—21no—
804Dic122—41no—
805Dic122—81no—
806Dic122—81no—
807Dic122—81no—
808Dic122—81no—
809Dic122—81no—
810C8×C61—21no—
811C8×C61—21no—
812C8×C61—21no—
813C8×C61—21no—
814#92418—21no—
815#92418—21no—
816#92418—21no—
817#92418—21no—
818#62008—611nomaximal, Sylow
819C22×C61—21no—
820C22×C61—21no—
821C22×C61—21no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61C23×D411yescharacteristic
829C2×D61—21no—
830C2×D61—21no—
831C2×D61—21no—
832C2×D61—21no—
833C2×D61—22no—
834C2×D61—21no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—84no—
841C2×D61—162no—
842C2×D61#57712yes—
843C4×C61—21no—
844C4×C61—21no—
845C4×C61—21no—
846C4×C61—21no—
847C4×C61—21no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61C2×H(5,𝔽2)11yescharacteristic
855C4×C61#58511yescharacteristic
856Dic61—21no—
857Dic61—21no—
858Dic61—21no—
859Dic61—21no—
860Dic61—21no—
861Dic61—21no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868#3552—611no—
869#3513—611no—
870#3401—611no—
871#3400—611no—
872#3376—611no—
873#3372—611no—
874#3320—611no—
875#3312—611no—
876#3308—611no—
877#3307—611no—
878#3300—611no—
879#3298—611no—
880#3282—611no—
881D4×SD16—611no—
882#3267—611no—
883#3266—611no—
884#3266—611no—
885#3265—611no—
886#3260D6111yescharacteristic, complemented
887#3258—611no—
888#3250—611no—
889#3225—611no—
890#3221—611no—
891#3218—611no—
892#3123—611no—
893#3120—611no—
894#3114—611no—
895#3046—611no—
896#3042—611no—
897C2×#461—611no—
898#2992—611no—
899C2×C61—41no—
900C2×C61—81no—
901C2×C61—81no—
902C2×C61#348811yescharacteristic
903C2×C61C2×#57711yescharacteristic
904C2×C61#358611yescharacteristic
905D61—22no—
906D61—41no—
907D61—42no—
908D61—81no—
909C2×#137—611no—
910C2×AGL(1,ℤ/8)—611no—
911C2×#135—611no—
912C22×SD16—611no—
913C22×SD16—611no—
914C22×SD16—611no—
915#563—1221no—
916#563—1221no—
917#559—611no—
918#557—611no—
919#556—611no—
920#554—611no—
921#554—1221no—
922#553—611no—
923#553—1221no—
924#553—1221no—
925#552—611no—
926#551—1221no—
927#551—1221no—
928D4×Q8—611no—
929D4×Q8—611no—
930D4×Q8—611no—
931#548—611no—
932#548—611no—
933#547—611no—
934#547—611no—
935#546—611no—
936#546—611no—
937#546—1221no—
938D42—611no—
939#544—1221no—
940#542—611no—
941#542—1221no—
942#541—611no—
943#541C2×D6111yescharacteristic, complemented
944#540C2×D6111yescharacteristic
945#539—1221no—
946#539—1221no—
947#539—1221no—
948#538—1221no—
949#536—611no—
950#536—611no—
951C2×C4⋊Q8—611no—
952#529—611no—
953#529—611no—
954#529—611no—
955#525—1221no—
956C2×#123—1221no—
957#520—611no—
958#518—611no—
959C2×C4×D4—611no—
960#497—611no—
961#497—611no—
962#497—611no—
963#496—611no—
964#495—611no—
965#492—611no—
966#491—611no—
967#491—611no—
968#491—611no—
969#489—611no—
970#488—611no—
971#487—611no—
972#485—611no—
973#485—611no—
974#484—611no—
975#483—611no—
976#483—611no—
977#480—611no—
978#479—611no—
979#479—611no—
980#479C2×D6111yescharacteristic, complemented
981#479C2×D6111yescharacteristic, complemented
982#478—611no—
983#478—611no—
984#478C2×D6111yescharacteristic, complemented
985#478C2×D6111yescharacteristic, complemented
986#477—611no—
987#475—611no—
988#470—611no—
989#468—611no—
990#468C2×D6111yescharacteristic, complemented
991#468C2×D6111yescharacteristic, complemented
992#467—611no—
993#467—611no—
994#466—611no—
995#465—611no—
996#465—611no—
997#465—611no—
998#465C2×D6111yescharacteristic, complemented
999#465C2×D6111yescharacteristic, complemented
1000#464—611no—
1001#464—611no—
1002#464—611no—
1003#464—611no—
1004#464—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#463—611no—
1009#463—611no—
1010#463—611no—
1011#463—611no—
1012#462—611no—
1013#462—611no—
1014#462—611no—
1015#461—611no—
1016#461—611no—
1017#461—611no—
1018#461—611no—
1019#461—611no—
1020#461—611no—
1021#461—611no—
1022#461—611no—
1023#461—611no—
1024#461—611no—
1025#461—611no—
1026#461C2×D6111yescharacteristic, complemented
1027#461C2×D6111yescharacteristic, complemented
1028#460C2×D6111yescharacteristic
1029#460C2×D6111yescharacteristic
1030#452—611no—
1031#452—611no—
1032#452—611no—
1033#451—611no—
1034#451—611no—
1035#451—611no—
1036#450—611no—
1037#450—611no—
1038#450—611no—
1039#449—611no—
1040#449—611no—
1041#449—611no—
1042#448—611no—
1043#448—611no—
1044#448—611no—
1045#448—611no—
1046#448—611no—
1047#447—611no—
1048#446—611no—
1049#446—611no—
1050#442—611no—
1051#442—611no—
1052#441—611no—
1053#440—611no—
1054#440—611no—
1055#440—611no—
1056#440—611no—
1057#440—611no—
1058C4×Q16—611no—
1059C4×SD16—611no—
1060C4×SD16—611no—
1061C4×SD16—611no—
1062#435—611no—
1063#435—611no—
1064#435—611no—
1065#435—611no—
1066C8×D4—611no—
1067C8×D4—611no—
1068#433—611no—
1069#433—611no—
1070#432—611no—
1071#424—611no—
1072#424C2×D6111yescharacteristic, complemented
1073C2×C4⋊C8—611no—
1074#419—611no—
1075#417—611no—
1076#416—611no—
1077C2×#103—611no—
1078C2×#103—611no—
1079C2×#103—611no—
1080C61#6200811yescharacteristic, complemented, Sylow
1081C2×#41—611no—
1082C2×#41—611no—
1083C2×#41—611no—
1084C2×#41—1221no—
1085C22×Q8—611no—
1086C22×Q8—611no—
1087C22×Q8—611no—
1088C22×Q8—611no—
1089C22×D4—611no—
1090C22×D4—611no—
1091C22×D4—1221no—
1092C23×C4—1221no—
1093#137—2442no—
1094AGL(1,ℤ/8)—2442no—
1095#135—2442no—
1096C2×Q16—611no—
1097C2×Q16—611no—
1098C2×Q16—611no—
1099C2×Q16—611no—
1100C2×Q16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—611no—
1107C2×SD16—611no—
1108C2×SD16—611no—
1109C2×SD16—611no—
1110C2×SD16—611no—
1111C2×SD16—611no—
1112C2×SD16—611no—
1113C2×SD16—2442no—
1114C2×SD16—2442no—
1115C2×SD16—2442no—
1116C2×SD16C22×D6111yescharacteristic
1117C2×SD16C22×D6111yescharacteristic
1118C2×SD16C22×D6111yescharacteristic
1119C2×SD16C22×D6111yescharacteristic
1120C2×D8—611no—
1121C2×D8—611no—
1122C2×D8—611no—
1123C2×M16—611no—
1124C2×M16C22×D6111yescharacteristic
1125C22×C8—611no—
1126C22×C8—611no—
1127C22×C8—611no—
1128C22×C8C22×D6111yescharacteristic
1129C4⋊Q8—611no—
1130C4⋊Q8—611no—
1131C4⋊Q8—611no—
1132C4⋊Q8—611no—
1133C4⋊Q8—611no—
1134C4⋊Q8—611no—
1135C4⋊Q8—1221no—
1136C4⋊Q8—1221no—
1137C4⋊Q8—1221no—
1138C4⋊Q8—1221no—
1139C4⋊Q8—1221no—
1140C4⋊Q8C22×D6111yescharacteristic
1141#127C22×D6111yescharacteristic
1142#126—21no—
1143#126—21no—
1144#126—611no—
1145#126—611no—
1146#126—1221no—
1147#126—1221no—
1148#126—1221no—
1149#126—1221no—
1150#126—1221no—
1151#126—1221no—
1152#126—1221no—
1153#126—1221no—
1154#126—1221no—
1155#125—21no—
1156#125—21no—
1157#125—611no—
1158#125—611no—
1159#125—1221no—
1160#125—1221no—
1161#125—1221no—
1162#125—1221no—
1163#125—1221no—
1164#125—1221no—
1165#125C22×D6111yescharacteristic
1166#125C22×D6111yescharacteristic
1167#124—611no—
1168#124—611no—
1169#124—611no—
1170#124—611no—
1171#124—611no—
1172#124—611no—
1173#124—1221no—
1174#124—1221no—
1175#124—1221no—
1176#124—1221no—
1177#123—21no—
1178#123—21no—
1179#123—611no—
1180#123—611no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185#123—1221no—
1186#123—1221no—
1187#123—1221no—
1188#123—1221no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198C22⋊Q8—611no—
1199C22⋊Q8—611no—
1200C22⋊Q8—611no—
1201C22⋊Q8—611no—
1202C22⋊Q8—611no—
1203C22⋊Q8—611no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221C22⋊Q8—1221no—
1222C22⋊Q8C22×D6111yescharacteristic
1223C22⋊Q8C22×D6111yescharacteristic
1224#121—21no—
1225#121—21no—
1226#121—611no—
1227#121—611no—
1228#121—611no—
1229#121—611no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121C22×D6111yescharacteristic
1238#121C22×D6111yescharacteristic
1239#120—1221no—
1240#120—1221no—
1241#120—1221no—
1242#120—1221no—
1243C4×Q8—611no—
1244C4×Q8—611no—
1245C4×Q8—611no—
1246C4×Q8—611no—
1247C4×Q8—611no—
1248C4×Q8—611no—
1249C4×Q8—1221no—
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—611no—
1261C4×D4—611no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4—1221no—
1272C4×D4—1221no—
1273C4×D4—1221no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4C22×D6111yescharacteristic
1278C4×D4C22×D6111yescharacteristic
1279#117—611no—
1280#117—611no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117—1221no—
1286#117C22×D6111yescharacteristic
1287C2×C4⋊C4—611no—
1288C2×C4⋊C4—611no—
1289C2×C4⋊C4—1221no—
1290C2×C4⋊C4—1221no—
1291C2×C4⋊C4—1221no—
1292C2×C4⋊C4—1221no—
1293C2×C4⋊C4—1221no—
1294C2×C22⋊C4—1221no—
1295C2×C22⋊C4—1221no—
1296C2×C22⋊C4—1221no—
1297C2×C22⋊C4—1221no—
1298C2×C22⋊C4—1221no—
1299C2×C42—611no—
1300#107—611no—
1301#107—611no—
1302#107C22×D6111yescharacteristic
1303#107C22×D6111yescharacteristic
1304#106—611no—
1305#106—611no—
1306#106C22×D6111yescharacteristic
1307#106C22×D6111yescharacteristic
1308C4⋊C8—611no—
1309C4⋊C8—611no—
1310C4⋊C8—611no—
1311C4⋊C8—611no—
1312C4⋊C8—611no—
1313C4⋊C8—611no—
1314C4⋊C8C22×D6111yescharacteristic
1315C4⋊C8C22×D6111yescharacteristic
1316C4⋊C8C22×D6111yescharacteristic
1317C4⋊C8C22×D6111yescharacteristic
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103—611no—
1326#103—611no—
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103C22×D6111yescharacteristic
1337#103C22×D6111yescharacteristic
1338#103C22×D6111yescharacteristic
1339#103C22×D6111yescharacteristic
1340#102—611no—
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102C22×D6111yescharacteristic
1347#102C22×D6111yescharacteristic
1348#102C22×D6111yescharacteristic
1349#102C22×D6111yescharacteristic
1350C22⋊C8—611no—
1351C22⋊C8—611no—
1352C22⋊C8—611no—
1353C22⋊C8—611no—
1354C22⋊C8—611no—
1355C22⋊C8—611no—
1356#97—611no—
1357#97—611no—
1358#97—611no—
1359#97—611no—
1360C4×C8—611no—
1361C4×C8—611no—
1362C24—1221no—
1363C24—1221no—
1364#41—1222no—
1365#41—4882no—
1366#41—2441no—
1367#41—2441no—
1368#41—2441no—
1369#41—2441no—
1370#41—2441no—
1371C2×Q8—611no—
1372C2×Q8—611no—
1373C2×Q8—611no—
1374C2×Q8—611no—
1375C2×Q8—611no—
1376C2×Q8—1221no—
1377C2×Q8—1221no—
1378C2×Q8—1221no—
1379C2×Q8—1221no—
1380C2×Q8—1221no—
1381C2×Q8—2441no—
1382C2×Q8—2441no—
1383C2×Q8—2441no—
1384C2×Q8—2441no—
1385C2×Q8—2441no—
1386C2×Q8—2441no—
1387C2×Q8—2441no—
1388C2×Q8—2441no—
1389C2×Q8C23×D6111yescharacteristic
1390C2×Q8C23×D6111yescharacteristic
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—611no—
1396C2×D4—611no—
1397C2×D4—611no—
1398C2×D4—611no—
1399C2×D4—611no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—1222no—
1405C2×D4—1222no—
1406C2×D4—1221no—
1407C2×D4—1221no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—4882no—
1411C2×D4—2441no—
1412C2×D4—2441no—
1413C2×D4C23×D6111yescharacteristic
1414C2×D4C23×D6111yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—611no—
1418C22×C4—611no—
1419C22×C4—611no—
1420C22×C4—611no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4—1221no—
1426C22×C4—1221no—
1427C22×C4—1221no—
1428C22×C4—1221no—
1429C22×C4—1221no—
1430C22×C4—1221no—
1431C22×C4—1221no—
1432C22×C4—1221no—
1433C22×C4—1221no—
1434C22×C4—1221no—
1435C22×C4—1221no—
1436C22×C4—1221no—
1437C22×C4—4882no—
1438C22×C4C23×D6111yescharacteristic
1439Q16—2441no—
1440Q16—2441no—
1441Q16—2441no—
1442Q16—2441no—
1443Q16—2441no—
1444SD16—41no—
1445SD16—41no—
1446SD16—41no—
1447SD16—41no—
1448SD16—1222no—
1449SD16—1222no—
1450SD16—1222no—
1451SD16—1222no—
1452SD16—1222no—
1453SD16—2441no—
1454SD16—2441no—
1455SD16—2441no—
1456SD16—2441no—
1457SD16—2441no—
1458SD16—2441no—
1459SD16—2441no—
1460D8—1222no—
1461D8—2441no—
1462D8—2441no—
1463M16—41no—
1464M16—2441no—
1465C2×C8—41no—
1466C2×C8—611no—
1467C2×C8—611no—
1468C2×C8—611no—
1469C2×C8—611no—
1470C2×C8—2441no—
1471C2×C8—2441no—
1472C2×C8—2441no—
1473C2×C8C23×D6111yescharacteristic
1474C2×C8C23×D6111yescharacteristic
1475C2×C8C23×D6111yescharacteristic
1476C2×C8C23×D6111yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—611no—
1488C4⋊C4—611no—
1489C4⋊C4—611no—
1490C4⋊C4—611no—
1491C4⋊C4—611no—
1492C4⋊C4—611no—
1493C4⋊C4—611no—
1494C4⋊C4—611no—
1495C4⋊C4—611no—
1496C4⋊C4—611no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4D4×D6111yescharacteristic
1523C4⋊C4D4×D6111yescharacteristic
1524C4⋊C4C23×D6111yescharacteristic
1525C4⋊C4C23×D6111yescharacteristic
1526C4⋊C4C23×D6111yescharacteristic
1527C4⋊C4C23×D6111yescharacteristic
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—611no—
1535C22⋊C4—611no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
1540C22⋊C4—611no—
1541C22⋊C4—611no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4D4×D6111yescharacteristic
1569C22⋊C4D4×D6111yescharacteristic
1570C42—21no—
1571C42—21no—
1572C42—611no—
1573C42—611no—
1574C42—611no—
1575C42—611no—
1576C42—1221no—
1577C42—1221no—
1578C42—1221no—
1579C42—1221no—
1580C42—1221no—
1581C42—1221no—
1582C42C23×D6111yescharacteristic
1583C42C23×D6111yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—611no—
1587C23—611no—
1588C23—1221no—
1589C23—1221no—
1590C23—4881no—
1591C23—4881no—
1592C23—4881no—
1593C23—2442no—
1594C23—2442no—
1595C23—2442no—
1596C23C2×D4×D6111yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—1221no—
1602Q8—1221no—
1603Q8—1221no—
1604Q8—1221no—
1605Q8—1221no—
1606Q8—1221no—
1607Q8—1221no—
1608Q8—1221no—
1609Q8—4881no—
1610Q8—4881no—
1611Q8—4881no—
1612Q8—4881no—
1613Q8—4881no—
1614Q8—2441no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—612no—
1624D4—1222no—
1625D4—1222no—
1626D4—1221no—
1627D4—1221no—
1628D4—1221no—
1629D4—4881no—
1630D4—4881no—
1631D4—4881no—
1632D4—2442no—
1633D4—2441no—
1634D4—2442no—
1635D4—2442no—
1636D4—2442no—
1637D4—2442no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—611no—
1649C2×C4—611no—
1650C2×C4—611no—
1651C2×C4—611no—
1652C2×C4—611no—
1653C2×C4—611no—
1654C2×C4—1222no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—4881no—
1666C2×C4—4881no—
1667C2×C4—4881no—
1668C2×C4—4881no—
1669C2×C4—4881no—
1670C2×C4—4881no—
1671C2×C4—4881no—
1672C2×C4—4881no—
1673C2×C4—4881no—
1674C2×C4—4881no—
1675C2×C4—4881no—
1676C2×C4—4881no—
1677C2×C4—4881no—
1678C2×C4—2441no—
1679C2×C4—2442no—
1680C2×C4—2442no—
1681C2×C4—2442no—
1682C2×C4C2×D4×D6111yescharacteristic
1683C2×C4C2×D4×D6111yescharacteristic
1684C2×C4C2×D4×D6111yescharacteristic
1685C2×C4C2×D4×D6111yescharacteristic
1686C2×C4C2×D4×D6111yescharacteristic
1687C2×C4C24×D6111yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1221no—
1693C8—1221no—
1694C8—1221no—
1695C8—1221no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—612no—
1706C22—1221no—
1707C22—1221no—
1708C22—1221no—
1709C22—1222no—
1710C22—1221no—
1711C22—1221no—
1712C22—9762no—
1713C22—4884no—
1714C22—2441no—
1715C22—2441no—
1716C22—2441no—
1717C22—2441no—
1718C22—2441no—
1719C22C22×D4×D6111yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—1221no—
1732C4—1221no—
1733C4—1221no—
1734C4—1221no—
1735C4—1221no—
1736C4—1221no—
1737C4—2441no—
1738C4—2441no—
1739C4—2441no—
1740C4—2441no—
1741C4—2441no—
1742C4—2441no—
1743C4H(5,𝔽2)×D6111yescharacteristic
1744C4#1684059911yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—1222no—
1749C2—4881no—
1750C2—2441no—
1751C2—2442no—
1752C2#2145948311yescharacteristic
1753C2#577×D6111yescharacteristic
1754C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3260C2
socleC22×C61C23×D4
hypercenter#3260D61
hypocenterC61#62008
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3260

Complements

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

NH ≅ G/Ntype
1. #21460263C2semidirect
2. #21459757C2semidirect
3. #21458878C2semidirect
4. #21458871C2semidirect
5. #21458644C2semidirect
6. #21458603C2semidirect
7. #21457996C2semidirect
8. #21457867C2semidirect
9. #21457805C2semidirect
10. #21457790C2semidirect
11. #21457703C2semidirect
12. #21457679C2semidirect
13. #21457533C2semidirect
14. #21457510C2semidirect
15. #21457341C2semidirect
16. #21457336C2semidirect
17. #21457336C2semidirect
18. #21457309C2semidirect
19. #21457249C2semidirect
20. #21457170C2semidirect
21. #21456927C2semidirect
22. #21456874C2semidirect
23. #21456845C2semidirect
24. #21456073C2semidirect
25. #21456027C2semidirect
26. #21455962C2semidirect
27. #21455371C2semidirect
28. #21455326C2semidirect
29. #461×D61C2semidirect
30. #21454956C2semidirect
31. C61×#3260C2semidirect
41. #16840490C22semidirect
42. #16840484C22semidirect
52. #16840425C22semidirect
53. #16840425C22semidirect
55. #16840422C22semidirect
56. #16840414C22semidirect
65. #16840375C22semidirect
70. #16840338C22semidirect
71. #16840337C22semidirect
72. C4⋊Q8×D61C22semidirect
73. #16840297C22semidirect
81. #16840153C22semidirect
82. #16840153C22semidirect
83. #16840153C22semidirect
85. #16840143C22semidirect
87. #16840132C22semidirect
88. #16840129C22semidirect
89. #16840129C22semidirect
90. #16840123C22semidirect
91. #16840119C22semidirect
92. #16840111C22semidirect
93. #16840106C22semidirect
94. #16840105C22semidirect
95. #16840095C22semidirect
96. #16840094C22semidirect
97. #16840090C22semidirect
98. #16840077C22semidirect
99. #16840072C22semidirect
100. #16840066C22semidirect
101. #16840065C22semidirect
103. #16840056C22semidirect
104. #16840046C22semidirect
105. #16840021C22semidirect
107. #16840004C22semidirect
108. #16840004C22semidirect
110. #16839992C22semidirect
113. #16839985C22semidirect
114. #16839985C22semidirect
115. #16839983C22semidirect
116. #16839983C22semidirect
117. #16839983C22semidirect
119. #16839979C22semidirect
122. #16839977C22semidirect
123. #16839977C22semidirect
124. #16839976C22semidirect
125. #16839973C22semidirect
126. #16839973C22semidirect
127. #16839969C22semidirect
130. #16839967C22semidirect
131. #16839967C22semidirect
135. #16839965C22semidirect
136. #16839965C22semidirect
137. #16839965C22semidirect
139. #16839927C22semidirect
142. #16839919C22semidirect
143. #16839919C22semidirect
144. #16839919C22semidirect
149. #16839905C22semidirect
150. #16839905C22semidirect
151. #16839900C22semidirect
152. #16839900C22semidirect
157. #16839891C22semidirect
158. #16839889C22semidirect
160. #16839871C22semidirect
161. #16839867C22semidirect
165. #16839859C22semidirect
166. #16839859C22semidirect
167. C4×#11758202C22semidirect
168. #16839853C22semidirect
171. #16839833C22semidirect
173. #16839831C22semidirect
174. #16839831C22semidirect
176. C8×C22⋊D61C22semidirect
177. #16839823C22semidirect
178. #16839822C22semidirect
179. #16839818C22semidirect
180. #16839787C22semidirect
181. C4⋊C8×D61C22semidirect
182. #16839769C22semidirect
183. #16839764C22semidirect
184. #16839757C22semidirect
185. C2×#14519702C22semidirect
186. #103×D61C22semidirect
187. #103×D61C22semidirect
188. C61×#541C22semidirect
190. C61×#479C22semidirect
191. C61×#479C22semidirect
192. C61×#478C22semidirect
193. C61×#478C22semidirect
194. C61×#468C22semidirect
195. C61×#468C22semidirect
196. C61×#465C22semidirect
197. C61×#465C22semidirect
198. C61×#461C22semidirect
199. C61×#461C22semidirect
202. C61×#424C22semidirect
886. #3260D61semidirect
943. #541C2×D61semidirect
980. #479C2×D61semidirect
981. #479C2×D61semidirect
984. #478C2×D61semidirect
985. #478C2×D61semidirect
990. #468C2×D61semidirect
991. #468C2×D61semidirect
998. #465C2×D61semidirect
999. #465C2×D61semidirect
1026. #461C2×D61semidirect
1027. #461C2×D61semidirect
1072. #424C2×D61semidirect
1080. C61#62008semidirect

Maximal subgroups

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

subgroupindex
#214602632
#214597572
#214588782
#214588712
#214586442
#214586032
#214579962
#214578672
#214578052
#214577902
#214577032
#214576792
#214575332
#214575102
#214573412
#214573362
#214573092
#214572492
#214571702
#214569272
#214568742
#214568452
#214560732
#214560272
#214559622
#214553712
#214553262
#461×D612
#214549562
C61×#32602
#6200861