Finite Group Databasebeta

← #30573768

Subgroups — #30573768

Order 15616.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460192C211yesmaximal, characteristic, complemented
2#21459927C211yesmaximal, characteristic, complemented
3#21458892C211yesmaximal, characteristic, complemented
4#21458862C211yesmaximal, characteristic, complemented
5#21458656C211yesmaximal, characteristic, complemented
6#21458551C211yesmaximal, characteristic, complemented
7#21457978C211yesmaximal, characteristic, complemented
8#21457954C211yesmaximal, characteristic, complemented
9#21457946C211yesmaximal, characteristic, complemented
10#21457765C211yesmaximal, characteristic, complemented
11#21457652C211yesmaximal, characteristic, complemented
12#21457572C211yesmaximal, characteristic, complemented
13#21457523C211yesmaximal, characteristic, complemented
14#21457402C211yesmaximal, characteristic, complemented
15#21457370C211yesmaximal, characteristic, complemented
16#21457366C211yesmaximal, characteristic, complemented
17#21457319C211yesmaximal, characteristic, complemented
18#21457276C211yesmaximal, characteristic, complemented
19#21457233C211yesmaximal, characteristic, complemented
20#21457144C211yesmaximal, characteristic, complemented
21#21456911C211yesmaximal, characteristic, complemented
22#21456867C211yesmaximal, characteristic, complemented
23#21456859C211yesmaximal, characteristic, complemented
24#21456091C211yesmaximal, characteristic, complemented
25#21456051C211yesmaximal, characteristic, complemented
26#21455966C211yesmaximal, characteristic, complemented
27#21455357C211yesmaximal, characteristic, complemented
28#21455343C211yesmaximal, characteristic, complemented
29#21455275C211yesmaximal, characteristic, complemented
30#21454954C211yesmaximal, characteristic, complemented
31C61×#3307C211yesmaximal, characteristic, complemented
32C2×#14519807C2211yescharacteristic, complemented
33C2×#14519805C2211yescharacteristic
34C2×#14519798C2211yescharacteristic, complemented
35C2×#14519798C2211yescharacteristic, complemented
36C2×#14519797C2211yescharacteristic, complemented
37C22×#11758190C2211yescharacteristic
38#16840502—21no—
39#16840502—21no—
40#16840495—21no—
41#16840495C2211yescharacteristic, complemented
42#16840489C2211yescharacteristic, complemented
43#16840486C2211yescharacteristic
44#16840476—21no—
45#16840475C2211yescharacteristic, complemented
46#16840460—21no—
47#16840457—21no—
48#16840448—21no—
49#16840447C2211yescharacteristic, complemented
50#16840433C2211yescharacteristic
51#16840431C2211yescharacteristic
52#16840431C2211yescharacteristic
53#16840430C2211yescharacteristic, complemented
54#16840421C2211yescharacteristic
55#16840418C2211yescharacteristic, complemented
56#16840409—21no—
57#16840403C2211yescharacteristic
58#16840403C2211yescharacteristic
59D4×D244C2211yescharacteristic
60#16840385C2211yescharacteristic
61#16840385C2211yescharacteristic
62#16840379C2211yescharacteristic, complemented
63#16840378—21no—
64#16840365C2211yescharacteristic, complemented
65#16840362—21no—
66#16840348—21no—
67#16840348—21no—
68#16840343—21no—
69#16840328—21no—
70#16840326C2211yescharacteristic
71#16840326C2211yescharacteristic
72#16840313C2211yescharacteristic
73#16840309C2211yescharacteristic
74#16840297C2211yescharacteristic, complemented
75#16840294C2211yescharacteristic
76#16840292—21no—
77#16840289—21no—
78#16840243C2211yescharacteristic, complemented
79#16840239C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic, complemented
81#16840154C2211yescharacteristic, complemented
82#16840151C2211yescharacteristic
83#16840150C2211yescharacteristic, complemented
84#16840148C2211yescharacteristic
85#16840143C2211yescharacteristic
86#16840137C2211yescharacteristic, complemented
87#16840128C2211yescharacteristic
88#16840125C2211yescharacteristic, complemented
89#16840123C2211yescharacteristic
90#16840118C2211yescharacteristic
91#16840107C2211yescharacteristic, complemented
92#16840088C2211yescharacteristic
93#16840086C2211yescharacteristic
94#16840084C2211yescharacteristic, complemented
95#16840080C2211yescharacteristic
96#16840071C2211yescharacteristic, complemented
97#16840061C2211yescharacteristic, complemented
98#16840059C2211yescharacteristic
99#16840056C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840051C2211yescharacteristic, complemented
102#16840046C2211yescharacteristic, complemented
103#16840041C2211yescharacteristic, complemented
104#16840040C2211yescharacteristic, complemented
105#16840013C2211yescharacteristic
106#16840010C2211yescharacteristic, complemented
107#16840008C2211yescharacteristic
108#16840001C2211yescharacteristic, complemented
109#16839999C2211yescharacteristic
110#16839998C2211yescharacteristic
111#16839997C2211yescharacteristic, complemented
112#16839996C2211yescharacteristic
113#16839992C2211yescharacteristic
114#16839990C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic
116#16839987C2211yescharacteristic
117#16839987C2211yescharacteristic
118#16839987C2211yescharacteristic, complemented
119#16839987C2211yescharacteristic, complemented
120#16839987C2211yescharacteristic, complemented
121#16839987C2211yescharacteristic, complemented
122#16839982C2211yescharacteristic, complemented
123#16839980C2211yescharacteristic
124#16839980C2211yescharacteristic, complemented
125#16839980C2211yescharacteristic, complemented
126#16839979C2211yescharacteristic, complemented
127#16839979C2211yescharacteristic, complemented
128#16839978C2211yescharacteristic
129#16839977C2211yescharacteristic, complemented
130#16839976C2211yescharacteristic, complemented
131#16839969C2211yescharacteristic, complemented
132#16839963C2211yescharacteristic
133#16839961C2211yescharacteristic
134#16839961C2211yescharacteristic
135#16839961C2211yescharacteristic, complemented
136#16839961C2211yescharacteristic, complemented
137#16839961C2211yescharacteristic, complemented
138#16839960C2211yescharacteristic, complemented
139#16839957C2211yescharacteristic
140#16839956C2211yescharacteristic
141#16839956C2211yescharacteristic, complemented
142#16839956C2211yescharacteristic, complemented
143#16839955C2211yescharacteristic
144#16839927C2211yescharacteristic, complemented
145#16839927C2211yescharacteristic, complemented
146#16839924C2211yescharacteristic, complemented
147#16839922C2211yescharacteristic, complemented
148#16839917C2211yescharacteristic, complemented
149#16839915C2211yescharacteristic
150#16839910C2211yescharacteristic, complemented
151#16839910C2211yescharacteristic, complemented
152#16839909C2211yescharacteristic
153#16839908C2211yescharacteristic
154#16839907C2211yescharacteristic, complemented
155#16839904C2211yescharacteristic, complemented
156#16839903C2211yescharacteristic
157#16839898C2211yescharacteristic
158#16839895C2211yescharacteristic
159#16839895C2211yescharacteristic
160#16839891C2211yescharacteristic, complemented
161#16839890C2211yescharacteristic, complemented
162#16839873C2211yescharacteristic, complemented
163#16839872C2211yescharacteristic
164#16839866C2211yescharacteristic, complemented
165#16839866C2211yescharacteristic, complemented
166#16839864C2211yescharacteristic
167#16839862C2211yescharacteristic, complemented
168#16839861C2211yescharacteristic, complemented
169#16839854C2211yescharacteristic, complemented
170#16839849C2211yescharacteristic, complemented
171#16839849C2211yescharacteristic, complemented
172#16839847C2211yescharacteristic, complemented
173#16839836C2211yescharacteristic, complemented
174#16839834C2211yescharacteristic
175#16839831C2211yescharacteristic, complemented
176C8×C22⋊D61C2211yescharacteristic, complemented
177#16839825C2211yescharacteristic, complemented
178#16839820C2211yescharacteristic, complemented
179#16839820C2211yescharacteristic, complemented
180#16839817C2211yescharacteristic, complemented
181#16839790C2211yescharacteristic, complemented
182#16839788C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839766C2211yescharacteristic
185#16839757C2211yescharacteristic, complemented
186#16839757C2211yescharacteristic, complemented
187C2×#14519697C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#547C2211yescharacteristic
190C61×#491C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#483C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#461C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#449C2211yescharacteristic, complemented
199C61×#442C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic
201C61×#417C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758224C2311yescharacteristic
209C22×Dic122C2311yescharacteristic
210C22×D244C2311yescharacteristic
211C22×D244C2311yescharacteristic
212C2×D4×D61—21no—
213#14519807—42no—
214#14519805—42no—
215#14519798—42no—
216#14519798—42no—
217#14519797—42no—
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758190—42no—
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×D488C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×D488C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758194C2311yescharacteristic
241C22×#92418C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244#14519776—21no—
245#14519776C2311yescharacteristic
246#14519776C2311yescharacteristic
247#14519774C2311yescharacteristic
248#14519773—21no—
249#14519773—21no—
250#14519773—21no—
251#14519773C2311yescharacteristic
252#14519773C2311yescharacteristic
253#14519773C2311yescharacteristic
254#14519773C2311yescharacteristic
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519770—21no—
262#14519770D411yescharacteristic
263#14519770D411yescharacteristic
264#14519768D411yescharacteristic
265#14519768C2311yescharacteristic
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519766C2311yescharacteristic
270#14519766C2311yescharacteristic
271#14519766C2311yescharacteristic
272#14519766C2311yescharacteristic
273#14519765—21no—
274#14519765C2311yescharacteristic
275#14519764—21no—
276#14519764D411yescharacteristic
277#14519764C2311yescharacteristic
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519761—21no—
289#14519760—21no—
290#14519760—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759D411yescharacteristic
296#14519759D411yescharacteristic
297#14519758—21no—
298#14519757—21no—
299#14519757—21no—
300#14519757—21no—
301#14519757D411yescharacteristic
302#14519757C2311yescharacteristic
303#14519756C2311yescharacteristic
304#14519755—21no—
305#14519754—21no—
306#14519754—21no—
307#14519752—21no—
308#14519752—21no—
309#14519752—21no—
310#14519752—21no—
311#14519752—21no—
312#14519752C2311yescharacteristic
313#14519752C2311yescharacteristic
314#14519751—21no—
315#14519751—21no—
316#14519751—21no—
317#14519751—21no—
318#14519751—21no—
319#14519751—21no—
320#14519751—21no—
321#14519751C2311yescharacteristic
322#14519751C2311yescharacteristic
323#14519751C2311yescharacteristic
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519748—21no—
334#14519748—21no—
335#14519748—21no—
336#14519748D411yescharacteristic
337#14519748C2311yescharacteristic
338#14519747—21no—
339#14519747—21no—
340#14519747—21no—
341#14519747—21no—
342#14519745—21no—
343#14519745—21no—
344#14519745—21no—
345#14519745—21no—
346Q8×Dic61C2311yescharacteristic
347Q8×Dic61C2311yescharacteristic
348C4×Dic122—21no—
349C4×Dic122—21no—
350C4×Dic122C2311yescharacteristic
351C4×Dic122C2311yescharacteristic
352#14519742—21no—
353#14519742C2311yescharacteristic
354#14519742C2311yescharacteristic
355#14519742C2311yescharacteristic
356#14519742C2311yescharacteristic
357#14519742C2311yescharacteristic
358C4×D244C2311yescharacteristic
359D4×Dic61—21no—
360D4×Dic61C2311yescharacteristic
361#14519739—21no—
362#14519739—21no—
363#14519739—21no—
364#14519739C2311yescharacteristic
365#14519739C2311yescharacteristic
366#14519739C2311yescharacteristic
367#14519739C2311yescharacteristic
368C4×C22⋊D61—21no—
369C4×C22⋊D61—21no—
370C4×C22⋊D61—21no—
371C4×C22⋊D61—21no—
372C4×C22⋊D61—21no—
373C4×C22⋊D61—21no—
374C4×C22⋊D61—21no—
375C4×C22⋊D61C2311yescharacteristic
376C4×C22⋊D61C2311yescharacteristic
377#14519737—21no—
378#14519737—21no—
379#14519737—21no—
380#14519736—21no—
381#14519736C2311yescharacteristic
382#14519736C2311yescharacteristic
383#14519735—21no—
384#14519735—21no—
385#14519735—21no—
386#14519735C2311yescharacteristic
387#14519734—21no—
388#14519733—21no—
389#14519733—21no—
390#14519733—21no—
391C4⋊C4×D61—21no—
392C22⋊C4×D61—21no—
393C22⋊C4×D61—21no—
394C2×C4×Dic61—21no—
395C42×D61C2311yescharacteristic
396#14519711C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519688C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×#41×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#126×C61—21no—
450#125×C61C2311yescharacteristic
451#123×C61—21no—
452#123×C61—21no—
453#123×C61—21no—
454C22⋊Q8×C61C2311yescharacteristic
455C22⋊Q8×C61C2311yescharacteristic
456#121×C61—21no—
457#121×C61—21no—
458#121×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×D4×C61—21no—
461C4×D4×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464#117×C61C2311yescharacteristic
465C2×C4⋊C4×C61—21no—
466C2×C4⋊C4×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—41no—
489#41×C61—41no—
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61C2×D411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C2×D4×C61C2411yescharacteristic
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61C2411yescharacteristic
505C22×C4×C61C2411yescharacteristic
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61C2×D411yescharacteristic
521C2×C22⋊D61C2×D411yescharacteristic
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525#11758226—41no—
526#11758226—41no—
527#11758226—41no—
528#11758226—41no—
529#11758224—22no—
530#11758224—41no—
531D4×D61—82no—
532#11758222—22no—
533#11758222—41no—
534#11758222—82no—
535#11758222—82no—
536C2×D244—21no—
537C2×D244—21no—
538C2×D244—21no—
539C2×D244—21no—
540C2×D244—21no—
541C2×D244—21no—
542C2×D244—21no—
543C2×D244—21no—
544C2×D244—41no—
545C2×D244—41no—
546C2×D244—41no—
547C2×D244—41no—
548C2×D244C2411yescharacteristic
549C2×D244C2411yescharacteristic
550C2×D244C2411yescharacteristic
551C2×D244C2411yescharacteristic
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61C2×D411yescharacteristic
561C2×C4×D61C2×D411yescharacteristic
562C2×C4×D61C2411yescharacteristic
563C2×Dic122—22no—
564C2×Dic122—21no—
565C2×Dic122—21no—
566C2×Dic122—21no—
567C2×Dic122—41no—
568C2×Dic122C2×D411yescharacteristic
569C2×Dic122C2411yescharacteristic
570C2×Dic122C2411yescharacteristic
571SD16×C61—41no—
572SD16×C61—41no—
573D8×C61—41no—
574M16×C61—41no—
575C2×C8×C61—41no—
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C2×C8×C61C2411yescharacteristic
579C2×C8×C61C2411yescharacteristic
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61C2×D411yescharacteristic
588C4⋊C4×C61C2411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61C2×D411yescharacteristic
600C22⋊C4×C61C2×D411yescharacteristic
601C42×C61—21no—
602C42×C61C2411yescharacteristic
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61C2×D411yescharacteristic
609C22⋊Dic61C2×D411yescharacteristic
610C22⋊Dic61C2×D411yescharacteristic
611C22⋊Dic61C2×D411yescharacteristic
612C22⋊Dic61C2×D411yescharacteristic
613C22⋊Dic61C2×D411yescharacteristic
614#11758202—22no—
615#11758202—22no—
616#11758202—41no—
617#11758202—41no—
618#11758201—41no—
619#11758201—41no—
620#11758200—22no—
621#11758200—41no—
622#11758199—41no—
623#11758199—41no—
624#11758199—41no—
625#11758199—41no—
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#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198C2×D411yescharacteristic
649#11758198C2×D411yescharacteristic
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61C2×D411yescharacteristic
655C4⋊Dic61C2×D411yescharacteristic
656C4⋊Dic61C2×D411yescharacteristic
657C4⋊Dic61C2×D411yescharacteristic
658C4⋊Dic61C2×D411yescharacteristic
659C4⋊Dic61C2411yescharacteristic
660C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C4×Dic61C2411yescharacteristic
689#11758194—41no—
690C2×#92418—41no—
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695D488—41no—
696D488—41no—
697D488—41no—
698#11758190—22no—
699#11758190—22no—
700#11758190—22no—
701#11758190—41no—
702#11758190—41no—
703#11758190—41no—
704C8×D61—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61C22×D411yescharacteristic
709C23×C61C22×D411yescharacteristic
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61C22×D411yescharacteristic
721Q8×C61—21no—
722Q8×C61—21no—
723Q8×C61—21no—
724Q8×C61—21no—
725D4×C61—21no—
726D4×C61—21no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—41no—
730D4×C61—81no—
731D4×C61—81no—
732D4×C61—81no—
733D4×C61—81no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—42no—
745C2×C4×C61—81no—
746C2×C4×C61—81no—
747C2×C4×C61—81no—
748C2×C4×C61—81no—
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C22×D411yescharacteristic
753C2×C4×C61C2511yescharacteristic
754C22⋊D61—41no—
755C22⋊D61—41no—
756C22⋊D61—42no—
757C22⋊D61—42no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—42no—
775C2×Dic61—42no—
776C2×Dic61—81no—
777C2×Dic61C22×D411yescharacteristic
778C2×Dic61C22×D411yescharacteristic
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781C2×Dic61C22×D411yescharacteristic
782C2×Dic61C22×D411yescharacteristic
783C2×Dic61C22×D411yescharacteristic
784D244—21no—
785D244—21no—
786D244—21no—
787D244—21no—
788D244—21no—
789D244—21no—
790D244—21no—
791D244—21no—
792D244—42no—
793D244—81no—
794D244—81no—
795D244—81no—
796D244—81no—
797D244—81no—
798D244—81no—
799D244—81no—
800C4×D61—21no—
801C4×D61—21no—
802C4×D61—41no—
803C4×D61—41no—
804C4×D61—42no—
805C4×D61—42no—
806C4×D61—81no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61—81no—
810C4×D61—81no—
811C4×D61—81no—
812Dic122—21no—
813Dic122—21no—
814Dic122—21no—
815Dic122—41no—
816Dic122—42no—
817Dic122—81no—
818Dic122—81no—
819Dic122H(5,𝔽2)12yes—
820C8×C61—21no—
821C8×C61—21no—
822C8×C61—21no—
823C8×C61—21no—
824#92418—21no—
825#92418—21no—
826#92418—21no—
827#92418—21no—
828#62026—611nomaximal, Sylow
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—21no—
833C22×C61—21no—
834C22×C61—21no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61C23×D411yescharacteristic
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—21no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—162no—
858C2×D61—162no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61C2×H(5,𝔽2)11yescharacteristic
870C4×C61#58511yescharacteristic
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—21no—
877Dic61—22no—
878Dic61—21no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882#3546—611no—
883#3524—611no—
884#3401—611no—
885#3399—611no—
886#3377—611no—
887#3368—611no—
888#3319—611no—
889#3318—611no—
890#3317—611no—
891#3307D6111yescharacteristic, complemented
892#3305—611no—
893#3296—611no—
894#3287—611no—
895#3282—611no—
896#3271—611no—
897#3269—611no—
898#3268—611no—
899#3265—611no—
900#3262—611no—
901#3257—611no—
902#3247—611no—
903#3224—611no—
904#3220—611no—
905#3219—611no—
906#3125—611no—
907#3121—611no—
908#3115—611no—
909#3045—611no—
910#3043—611no—
911#3035—611no—
912#2992—611no—
913C2×C61—41no—
914C2×C61—41no—
915C2×C61—81no—
916C2×C61—81no—
917C2×C61#348811yescharacteristic
918C2×C61#358411yescharacteristic
919C2×C61#358511yescharacteristic
920D61—41no—
921D61—81no—
922D61—81no—
923D61—81no—
924D61—81no—
925C2×#137—611no—
926C2×AGL(1,ℤ/8)—611no—
927C2×#135—611no—
928C2×#135—611no—
929C2×#135—611no—
930C22×SD16—611no—
931#560—1221no—
932#560—1221no—
933#559—611no—
934#559—1221no—
935#557—611no—
936#556—611no—
937#555—611no—
938#555—1221no—
939#553—1221no—
940#553—1221no—
941#553C2×D6111yescharacteristic
942#552—611no—
943#552—1221no—
944#550—611no—
945#550—611no—
946#550—611no—
947#550—611no—
948#548—611no—
949#548—611no—
950#547C2×D6111yescharacteristic
951#546—611no—
952#546—611no—
953#546—1221no—
954D42—611no—
955#542—611no—
956#542—611no—
957#542—611no—
958#542—1221no—
959#540—611no—
960#540—1221no—
961#538—1221no—
962#538—1221no—
963#537—1221no—
964#535—611no—
965#535—611no—
966#535—1221no—
967#532—611no—
968#532—611no—
969#529—611no—
970#529—611no—
971#529—1221no—
972#529—1221no—
973#520—611no—
974#519—611no—
975C4×#41—611no—
976#497—611no—
977#496—611no—
978#496—611no—
979#496—611no—
980#495—611no—
981#493—611no—
982#491C2×D6111yescharacteristic, complemented
983#490—611no—
984#490—611no—
985#489—611no—
986#488—611no—
987#486—611no—
988#485C2×D6111yescharacteristic, complemented
989#483C2×D6111yescharacteristic, complemented
990#482—611no—
991#482—611no—
992#482—611no—
993#481—611no—
994#479—611no—
995#478—611no—
996#478—611no—
997#478C2×D6111yescharacteristic, complemented
998#477—611no—
999#477—611no—
1000#476—611no—
1001#475—611no—
1002#474—611no—
1003#474—611no—
1004#469—611no—
1005#468—611no—
1006#468—611no—
1007#468C2×D6111yescharacteristic, complemented
1008#467—611no—
1009#466—611no—
1010#466—611no—
1011#466—611no—
1012#466—611no—
1013#465—611no—
1014#465—611no—
1015#465C2×D6111yescharacteristic, complemented
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464—611no—
1022#464—611no—
1023#464—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463—611no—
1032#462—611no—
1033#461C2×D6111yescharacteristic, complemented
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460—611no—
1038#460—611no—
1039#460—611no—
1040#460—611no—
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459—611no—
1045#459—611no—
1046#452—611no—
1047#452—611no—
1048#452—611no—
1049#452—611no—
1050#451—611no—
1051#450—611no—
1052#449—611no—
1053#449—611no—
1054#449—611no—
1055#449—611no—
1056#449—611no—
1057#449—611no—
1058#449C2×D6111yescharacteristic, complemented
1059#449C2×D6111yescharacteristic, complemented
1060#448—611no—
1061#447—611no—
1062#447—611no—
1063#447—611no—
1064#446—611no—
1065#446—611no—
1066#442—611no—
1067#442—611no—
1068#442C2×D6111yescharacteristic, complemented
1069#441—611no—
1070#441—611no—
1071#440—611no—
1072#440—611no—
1073#440—611no—
1074C4×Q16—611no—
1075C4×SD16—611no—
1076C4×SD16—611no—
1077C4×SD16—611no—
1078#435—611no—
1079#435—611no—
1080#435—611no—
1081#435C2×D6111yescharacteristic
1082C8×D4—611no—
1083C8×D4—611no—
1084#433—611no—
1085#433—611no—
1086#432—611no—
1087#424—611no—
1088#424—611no—
1089C2×C4⋊C8—611no—
1090#418—611no—
1091#417C2×D6111yescharacteristic, complemented
1092#416—611no—
1093#416—611no—
1094#416C2×D6111yescharacteristic, complemented
1095C2×#102—611no—
1096C61#6202611yescharacteristic, complemented, Sylow
1097C2×#41—611no—
1098C2×#41—611no—
1099C2×#41—611no—
1100C2×#41—611no—
1101C2×#41—1221no—
1102C2×#41—1221no—
1103C2×#41C22×D6111yescharacteristic
1104C2×#41C22×D6111yescharacteristic
1105C22×Q8—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—1221no—
1109#137—2442no—
1110AGL(1,ℤ/8)—2442no—
1111#135—2442no—
1112#135—2442no—
1113#135—2442no—
1114C2×Q16—611no—
1115C2×Q16—611no—
1116C2×Q16—611no—
1117C2×Q16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—611no—
1125C2×SD16—611no—
1126C2×SD16—611no—
1127C2×SD16—611no—
1128C2×SD16—2442no—
1129C2×SD16C22×D6111yescharacteristic
1130C2×SD16C22×D6111yescharacteristic
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8—611no—
1137C2×D8—611no—
1138C2×D8C22×D6111yescharacteristic
1139C2×M16—611no—
1140C2×M16C22×D6111yescharacteristic
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8—611no—
1144C22×C8C22×D6111yescharacteristic
1145C4⋊Q8—611no—
1146C4⋊Q8—611no—
1147C4⋊Q8—1221no—
1148C4⋊Q8C22×D6111yescharacteristic
1149#127—611no—
1150#127—611no—
1151#127—611no—
1152#127—611no—
1153#127—611no—
1154#127—1221no—
1155#127—1221no—
1156#127—1221no—
1157#126—21no—
1158#126—611no—
1159#126—611no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#126—1221no—
1167#125—611no—
1168#125—611no—
1169#125—1221no—
1170#125—1221no—
1171#125—1221no—
1172#125C22×D6111yescharacteristic
1173#124—611no—
1174#124—611no—
1175#124—611no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124—611no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—611no—
1193#123—611no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—1221no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8C22×D6111yescharacteristic
1215C22⋊Q8C22×D6111yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121C22×D6111yescharacteristic
1250#121C22×D6111yescharacteristic
1251#120—1221no—
1252#120—1221no—
1253#120—1221no—
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257#120—1221no—
1258#120—1221no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—611no—
1265C4×Q8—611no—
1266C4×Q8—611no—
1267C4×Q8—611no—
1268C4×Q8—1221no—
1269C4×Q8—1221no—
1270C4×Q8—1221no—
1271C4×D4—21no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4C22×D6111yescharacteristic
1295C4×D4C22×D6111yescharacteristic
1296C4×D4C22×D6111yescharacteristic
1297#117—611no—
1298#117—611no—
1299#117—611no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306#117—1221no—
1307#117—1221no—
1308#117C22×D6111yescharacteristic
1309C2×C4⋊C4—21no—
1310C2×C4⋊C4—1221no—
1311C2×C4⋊C4C22×D6111yescharacteristic
1312C2×C22⋊C4—1221no—
1313C2×C22⋊C4—1221no—
1314C2×C42—611no—
1315C2×C42—1221no—
1316#107—611no—
1317#107—611no—
1318#107—611no—
1319#107C22×D6111yescharacteristic
1320#106—611no—
1321#106—611no—
1322#106C22×D6111yescharacteristic
1323#106C22×D6111yescharacteristic
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8—611no—
1328C4⋊C8—611no—
1329C4⋊C8—611no—
1330C4⋊C8—611no—
1331C4⋊C8—611no—
1332C4⋊C8—611no—
1333C4⋊C8C22×D6111yescharacteristic
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103C22×D6111yescharacteristic
1341#103C22×D6111yescharacteristic
1342#103C22×D6111yescharacteristic
1343#103C22×D6111yescharacteristic
1344#103C22×D6111yescharacteristic
1345#103C22×D6111yescharacteristic
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102C22×D6111yescharacteristic
1363#102C22×D6111yescharacteristic
1364#102C22×D6111yescharacteristic
1365#102C22×D6111yescharacteristic
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8—611no—
1370C22⋊C8C22×D6111yescharacteristic
1371C22⋊C8C22×D6111yescharacteristic
1372#97—611no—
1373#97—611no—
1374#97—611no—
1375#97C22×D6111yescharacteristic
1376C4×C8—611no—
1377C4×C8—611no—
1378C24—1221no—
1379C24—1221no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—1222no—
1385#41—1222no—
1386#41—4882no—
1387#41—4882no—
1388#41—2441no—
1389#41—2441no—
1390#41—2441no—
1391#41—2441no—
1392#41—2441no—
1393#41—2441no—
1394C2×Q8—611no—
1395C2×Q8—611no—
1396C2×Q8—611no—
1397C2×Q8—1221no—
1398C2×Q8—1221no—
1399C2×Q8—1222no—
1400C2×Q8—1221no—
1401C2×Q8—2441no—
1402C2×Q8C23×D6111yescharacteristic
1403C2×Q8C23×D6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—611no—
1409C2×D4—611no—
1410C2×D4—611no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—4882no—
1437C2×D4—2441no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4—2441no—
1441C2×D4D4×D6111yescharacteristic
1442C2×D4C23×D6111yescharacteristic
1443C2×D4C23×D6111yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—611no—
1450C22×C4—611no—
1451C22×C4—611no—
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×C4C23×D6111yescharacteristic
1464C22×C4C23×D6111yescharacteristic
1465Q16—1222no—
1466Q16—1222no—
1467Q16—2441no—
1468Q16—2441no—
1469SD16—41no—
1470SD16—41no—
1471SD16—1222no—
1472SD16—1222no—
1473SD16—1222no—
1474SD16—1222no—
1475SD16—2441no—
1476SD16—2441no—
1477SD16—2441no—
1478SD16—2441no—
1479SD16—2441no—
1480SD16—2441no—
1481D8—41no—
1482D8—2441no—
1483D8—2441no—
1484D8—2441no—
1485D8—2441no—
1486D8—2441no—
1487D8—2441no—
1488D8—2441no—
1489M16—41no—
1490M16—2441no—
1491C2×C8—41no—
1492C2×C8—611no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—611no—
1496C2×C8—2441no—
1497C2×C8—2441no—
1498C2×C8—2441no—
1499C2×C8C23×D6111yescharacteristic
1500C2×C8C23×D6111yescharacteristic
1501C2×C8C23×D6111yescharacteristic
1502C2×C8C23×D6111yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—611no—
1519C4⋊C4—611no—
1520C4⋊C4—611no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4D4×D6111yescharacteristic
1536C4⋊C4C23×D6111yescharacteristic
1537C4⋊C4C23×D6111yescharacteristic
1538C4⋊C4C23×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—611no—
1548C22⋊C4—611no—
1549C22⋊C4—611no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
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⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4D4×D6111yescharacteristic
1583C22⋊C4D4×D6111yescharacteristic
1584C42—21no—
1585C42—611no—
1586C42—611no—
1587C42—611no—
1588C42—611no—
1589C42—611no—
1590C42—1221no—
1591C42—1221no—
1592C42—1221no—
1593C42—1221no—
1594C42—1221no—
1595C42—1221no—
1596C42—1221no—
1597C42—1221no—
1598C42—1221no—
1599C42C23×D6111yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—611no—
1603C23—1221no—
1604C23—1221no—
1605C23—1221no—
1606C23—1221no—
1607C23—4881no—
1608C23—4881no—
1609C23—4881no—
1610C23—4881no—
1611C23—4881no—
1612C23—4881no—
1613C23C2×D4×D6111yescharacteristic
1614C23C2×D4×D6111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—612no—
1620Q8—1221no—
1621Q8—1221no—
1622Q8—1221no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—2441no—
1626Q8—2442no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—41no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—1221no—
1637D4—1221no—
1638D4—1221no—
1639D4—1221no—
1640D4—1221no—
1641D4—1221no—
1642D4—1221no—
1643D4—1221no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—4881no—
1659D4—4881no—
1660D4—4881no—
1661D4—4881no—
1662D4—4881no—
1663D4—2442no—
1664D4—2441no—
1665D4—2441no—
1666D4—2442no—
1667D4—2442no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—42no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—611no—
1684C2×C4—611no—
1685C2×C4—611no—
1686C2×C4—611no—
1687C2×C4—611no—
1688C2×C4—611no—
1689C2×C4—611no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—4881no—
1703C2×C4—2441no—
1704C2×C4—2441no—
1705C2×C4—2442no—
1706C2×C4—2442no—
1707C2×C4—2442no—
1708C2×C4—2442no—
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C2×D4×D6111yescharacteristic
1713C2×C4C24×D6111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C8—1221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—1221no—
1735C22—1221no—
1736C22—1221no—
1737C22—9762no—
1738C22—9762no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22C22×D4×D6111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—1221no—
1763C4—1222no—
1764C4—1221no—
1765C4—1221no—
1766C4—1221no—
1767C4—1221no—
1768C4—1221no—
1769C4—1221no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4H(5,𝔽2)×D6111yescharacteristic
1774C4#1684059811yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—81no—
1778C2—81no—
1779C2—4881no—
1780C2—4881no—
1781C2—4881no—
1782C2—4881no—
1783C2—2441no—
1784C2#2145948211yescharacteristic
1785C2#2146059111yescharacteristic
1786C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3307C2
socleC22×C61C23×D4
hypercenter#3307D61
hypocenterC61#62026
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3307

Complements

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

NH ≅ G/Ntype
1. #21460192C2semidirect
2. #21459927C2semidirect
3. #21458892C2semidirect
4. #21458862C2semidirect
5. #21458656C2semidirect
6. #21458551C2semidirect
7. #21457978C2semidirect
8. #21457954C2semidirect
9. #21457946C2semidirect
10. #21457765C2semidirect
11. #21457652C2semidirect
12. #21457572C2semidirect
13. #21457523C2semidirect
14. #21457402C2semidirect
15. #21457370C2semidirect
16. #21457366C2semidirect
17. #21457319C2semidirect
18. #21457276C2semidirect
19. #21457233C2semidirect
20. #21457144C2semidirect
21. #21456911C2semidirect
22. #21456867C2semidirect
23. #21456859C2semidirect
24. #21456091C2semidirect
25. #21456051C2semidirect
26. #21455966C2semidirect
27. #21455357C2semidirect
28. #21455343C2semidirect
29. #21455275C2semidirect
30. #21454954C2semidirect
31. C61×#3307C2semidirect
32. C2×#14519807C22semidirect
34. C2×#14519798C22semidirect
35. C2×#14519798C22semidirect
36. C2×#14519797C22semidirect
41. #16840495C22semidirect
42. #16840489C22semidirect
45. #16840475C22semidirect
49. #16840447C22semidirect
53. #16840430C22semidirect
55. #16840418C22semidirect
62. #16840379C22semidirect
64. #16840365C22semidirect
74. #16840297C22semidirect
78. #16840243C22semidirect
79. #16840239C22semidirect
80. C4×#11758224C22semidirect
81. #16840154C22semidirect
83. #16840150C22semidirect
86. #16840137C22semidirect
88. #16840125C22semidirect
91. #16840107C22semidirect
94. #16840084C22semidirect
96. #16840071C22semidirect
97. #16840061C22semidirect
99. #16840056C22semidirect
100. #16840055C22semidirect
101. #16840051C22semidirect
102. #16840046C22semidirect
103. #16840041C22semidirect
104. #16840040C22semidirect
106. #16840010C22semidirect
108. #16840001C22semidirect
111. #16839997C22semidirect
114. #16839990C22semidirect
118. #16839987C22semidirect
119. #16839987C22semidirect
120. #16839987C22semidirect
121. #16839987C22semidirect
122. #16839982C22semidirect
124. #16839980C22semidirect
125. #16839980C22semidirect
126. #16839979C22semidirect
127. #16839979C22semidirect
129. #16839977C22semidirect
130. #16839976C22semidirect
131. #16839969C22semidirect
135. #16839961C22semidirect
136. #16839961C22semidirect
137. #16839961C22semidirect
138. #16839960C22semidirect
141. #16839956C22semidirect
142. #16839956C22semidirect
144. #16839927C22semidirect
145. #16839927C22semidirect
146. #16839924C22semidirect
147. #16839922C22semidirect
148. #16839917C22semidirect
150. #16839910C22semidirect
151. #16839910C22semidirect
154. #16839907C22semidirect
155. #16839904C22semidirect
160. #16839891C22semidirect
161. #16839890C22semidirect
162. #16839873C22semidirect
164. #16839866C22semidirect
165. #16839866C22semidirect
167. #16839862C22semidirect
168. #16839861C22semidirect
169. #16839854C22semidirect
170. #16839849C22semidirect
171. #16839849C22semidirect
172. #16839847C22semidirect
173. #16839836C22semidirect
175. #16839831C22semidirect
176. C8×C22⋊D61C22semidirect
177. #16839825C22semidirect
178. #16839820C22semidirect
179. #16839820C22semidirect
180. #16839817C22semidirect
181. #16839790C22semidirect
182. #16839788C22semidirect
183. C4⋊C8×D61C22semidirect
185. #16839757C22semidirect
186. #16839757C22semidirect
190. C61×#491C22semidirect
191. C61×#485C22semidirect
192. C61×#483C22semidirect
193. C61×#478C22semidirect
194. C61×#468C22semidirect
195. C61×#465C22semidirect
196. C61×#461C22semidirect
197. C61×#449C22semidirect
198. C61×#449C22semidirect
199. C61×#442C22semidirect
201. C61×#417C22semidirect
202. C61×#416C22semidirect
891. #3307D61semidirect
982. #491C2×D61semidirect
988. #485C2×D61semidirect
989. #483C2×D61semidirect
997. #478C2×D61semidirect
1007. #468C2×D61semidirect
1015. #465C2×D61semidirect
1033. #461C2×D61semidirect
1058. #449C2×D61semidirect
1059. #449C2×D61semidirect
1068. #442C2×D61semidirect
1091. #417C2×D61semidirect
1094. #416C2×D61semidirect
1096. C61#62026semidirect

Maximal subgroups

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

subgroupindex
#214601922
#214599272
#214588922
#214588622
#214586562
#214585512
#214579782
#214579542
#214579462
#214577652
#214576522
#214575722
#214575232
#214574022
#214573702
#214573662
#214573192
#214572762
#214572332
#214571442
#214569112
#214568672
#214568592
#214560912
#214560512
#214559662
#214553572
#214553432
#214552752
#214549542
C61×#33072
#6202661