Finite Group Databasebeta

← #30573766

Subgroups — #30573766

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#21460186C211yesmaximal, characteristic, complemented
2#21459919C211yesmaximal, characteristic, complemented
3#21458883C211yesmaximal, characteristic, complemented
4#21458862C211yesmaximal, characteristic, complemented
5#21458660C211yesmaximal, characteristic, complemented
6#21458547C211yesmaximal, characteristic, complemented
7#21457961C211yesmaximal, characteristic, complemented
8#21457941C211yesmaximal, characteristic, complemented
9#21457793C211yesmaximal, characteristic, complemented
10#21457763C211yesmaximal, characteristic, complemented
11#21457657C211yesmaximal, characteristic, complemented
12#21457572C211yesmaximal, characteristic, complemented
13#21457522C211yesmaximal, characteristic, complemented
14#21457409C211yesmaximal, characteristic, complemented
15#21457381C211yesmaximal, characteristic, complemented
16#21457356C211yesmaximal, characteristic, complemented
17#21457318C211yesmaximal, characteristic, complemented
18#21457279C211yesmaximal, characteristic, complemented
19#21457225C211yesmaximal, characteristic, complemented
20#21457138C211yesmaximal, characteristic, complemented
21#21456914C211yesmaximal, characteristic, complemented
22#21456865C211yesmaximal, characteristic, complemented
23#21456854C211yesmaximal, characteristic, complemented
24#21456100C211yesmaximal, characteristic, complemented
25#21456051C211yesmaximal, characteristic, complemented
26#21455965C211yesmaximal, characteristic, complemented
27#21455359C211yesmaximal, characteristic, complemented
28#21455339C211yesmaximal, characteristic, complemented
29#21455272C211yesmaximal, characteristic, complemented
30#21454959C211yesmaximal, characteristic, complemented
31C61×#3319C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic, complemented
33C2×#14519801C2211yescharacteristic
34C2×#14519799C2211yescharacteristic, complemented
35C2×#14519798C2211yescharacteristic, complemented
36C2×#14519797C2211yescharacteristic, complemented
37C22×#11758200C2211yescharacteristic
38#16840501—21no—
39#16840500—21no—
40#16840495C2211yescharacteristic, complemented
41#16840494—21no—
42#16840487C2211yescharacteristic, complemented
43#16840481C2211yescharacteristic
44#16840474—21no—
45#16840457—21no—
46#16840456C2211yescharacteristic
47#16840455—21no—
48#16840451C2211yescharacteristic, complemented
49#16840445—21no—
50#16840433C2211yescharacteristic
51#16840433C2211yescharacteristic
52#16840431C2211yescharacteristic
53#16840430C2211yescharacteristic, complemented
54#16840421C2211yescharacteristic, complemented
55#16840418C2211yescharacteristic
56#16840414C2211yescharacteristic
57#16840409C2211yescharacteristic
58#16840402—21no—
59D4×C22⋊D61C2211yescharacteristic
60#16840386C2211yescharacteristic, complemented
61#16840385C2211yescharacteristic
62#16840377C2211yescharacteristic
63#16840376—21no—
64#16840365C2211yescharacteristic, complemented
65#16840362—21no—
66#16840350—21no—
67#16840348—21no—
68#16840341—21no—
69#16840330C2211yescharacteristic
70#16840329C2211yescharacteristic
71#16840327—21no—
72#16840308C2211yescharacteristic
73#16840307C2211yescharacteristic
74#16840293C2211yescharacteristic, complemented
75#16840292C2211yescharacteristic
76#16840291—21no—
77#16840290—21no—
78#16840241C2211yescharacteristic, complemented
79#16840239C2211yescharacteristic, complemented
80#16840230C2211yescharacteristic, complemented
81#16840153C2211yescharacteristic, complemented
82#16840151C2211yescharacteristic, complemented
83#16840150C2211yescharacteristic
84#16840150C2211yescharacteristic
85#16840144C2211yescharacteristic
86#16840137C2211yescharacteristic, complemented
87#16840129C2211yescharacteristic, complemented
88#16840125C2211yescharacteristic
89#16840125C2211yescharacteristic, complemented
90#16840115C2211yescharacteristic
91#16840110C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840086C2211yescharacteristic
94#16840086C2211yescharacteristic, complemented
95#16840079C2211yescharacteristic
96#16840067C2211yescharacteristic, complemented
97#16840065C2211yescharacteristic, complemented
98#16840065C2211yescharacteristic, complemented
99#16840064C2211yescharacteristic
100#16840056C2211yescharacteristic, complemented
101#16840054C2211yescharacteristic, complemented
102#16840050C2211yescharacteristic, complemented
103#16840046C2211yescharacteristic, complemented
104#16840041C2211yescharacteristic, complemented
105#16840015C2211yescharacteristic
106#16840009C2211yescharacteristic, complemented
107#16840007C2211yescharacteristic
108#16840004C2211yescharacteristic, complemented
109#16839997C2211yescharacteristic
110#16839996C2211yescharacteristic
111#16839996C2211yescharacteristic, complemented
112#16839993C2211yescharacteristic, complemented
113#16839991C2211yescharacteristic, complemented
114#16839989C2211yescharacteristic
115#16839987C2211yescharacteristic, complemented
116#16839987C2211yescharacteristic, complemented
117#16839985C2211yescharacteristic, complemented
118#16839983C2211yescharacteristic
119#16839983C2211yescharacteristic
120#16839983C2211yescharacteristic, complemented
121#16839983C2211yescharacteristic, complemented
122#16839981C2211yescharacteristic
123#16839980C2211yescharacteristic, complemented
124#16839979C2211yescharacteristic, complemented
125#16839977C2211yescharacteristic, complemented
126#16839976C2211yescharacteristic, complemented
127#16839976C2211yescharacteristic, complemented
128#16839975C2211yescharacteristic
129#16839975C2211yescharacteristic, complemented
130#16839971C2211yescharacteristic, complemented
131#16839966C2211yescharacteristic, complemented
132#16839963C2211yescharacteristic, complemented
133#16839961C2211yescharacteristic
134#16839961C2211yescharacteristic
135#16839961C2211yescharacteristic
136#16839961C2211yescharacteristic, complemented
137#16839961C2211yescharacteristic, complemented
138#16839960C2211yescharacteristic, complemented
139#16839957C2211yescharacteristic, complemented
140#16839956C2211yescharacteristic
141#16839956C2211yescharacteristic
142#16839956C2211yescharacteristic, complemented
143#16839955C2211yescharacteristic
144#16839927C2211yescharacteristic, complemented
145#16839926C2211yescharacteristic, complemented
146#16839925C2211yescharacteristic, complemented
147#16839924C2211yescharacteristic, complemented
148#16839917C2211yescharacteristic, complemented
149#16839914C2211yescharacteristic
150#16839910C2211yescharacteristic, complemented
151#16839909C2211yescharacteristic, complemented
152#16839909C2211yescharacteristic, complemented
153#16839905C2211yescharacteristic
154#16839905C2211yescharacteristic, complemented
155#16839905C2211yescharacteristic, complemented
156#16839904C2211yescharacteristic
157#16839903C2211yescharacteristic
158#16839897C2211yescharacteristic
159#16839896C2211yescharacteristic
160#16839890C2211yescharacteristic, complemented
161#16839889C2211yescharacteristic, complemented
162#16839873C2211yescharacteristic, complemented
163#16839871C2211yescharacteristic
164#16839870C2211yescharacteristic, complemented
165#16839866C2211yescharacteristic, complemented
166#16839861C2211yescharacteristic, complemented
167#16839861C2211yescharacteristic, complemented
168#16839859C2211yescharacteristic
169#16839854C2211yescharacteristic, complemented
170#16839849C2211yescharacteristic, complemented
171C4×#11758200C2211yescharacteristic, complemented
172C4×#11758200C2211yescharacteristic, complemented
173#16839833C2211yescharacteristic, complemented
174#16839831C2211yescharacteristic
175#16839830C2211yescharacteristic
176D4×#92418C2211yescharacteristic, complemented
177#16839825C2211yescharacteristic, complemented
178#16839824C2211yescharacteristic, complemented
179#16839820C2211yescharacteristic, complemented
180#16839816C2211yescharacteristic, complemented
181#16839790C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183C2×#14519706C2211yescharacteristic, complemented
184#16839762C2211yescharacteristic, complemented
185#16839756C2211yescharacteristic, complemented
186#16839756C2211yescharacteristic, complemented
187#102×D61C2211yescharacteristic
188C61×#555C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#485C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic
193C61×#474C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#449C2211yescharacteristic, complemented
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224C2311yescharacteristic
210C22×Dic122C2311yescharacteristic
211C22×C22⋊D61—21no—
212C2×D4×D61C2311yescharacteristic
213#14519810—42no—
214#14519801—42no—
215#14519799—42no—
216#14519798—42no—
217#14519797—42no—
218C2×Dic244C2311yescharacteristic
219C2×Dic244C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200—42no—
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×D488C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758189C2311yescharacteristic
241C22×#92418C2311yescharacteristic
242C22×#92418C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519775—21no—
246#14519775C2311yescharacteristic
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#14519772D411yescharacteristic
258#14519771—21no—
259#14519770—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770—21no—
264#14519770D411yescharacteristic
265#14519769—21no—
266#14519768C2311yescharacteristic
267#14519768C2311yescharacteristic
268#14519767—21no—
269#14519767—21no—
270#14519767D411yescharacteristic
271#14519766—21no—
272#14519766C2311yescharacteristic
273#14519765C2311yescharacteristic
274#14519764C2311yescharacteristic
275#14519764C2311yescharacteristic
276#14519764C2311yescharacteristic
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763D411yescharacteristic
284#14519762—21no—
285#14519762—21no—
286#14519761—21no—
287#14519761D411yescharacteristic
288#14519760—21no—
289#14519760—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759—21no—
296#14519759—21no—
297#14519758—21no—
298#14519758D411yescharacteristic
299#14519757—21no—
300#14519757C2311yescharacteristic
301#14519757C2311yescharacteristic
302#14519756—21no—
303#14519756C2311yescharacteristic
304#14519755—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754D411yescharacteristic
308#14519753—21no—
309#14519752C2311yescharacteristic
310#14519751—21no—
311#14519751—21no—
312#14519751C2311yescharacteristic
313#14519751C2311yescharacteristic
314#14519751C2311yescharacteristic
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749D411yescharacteristic
333#14519748—21no—
334#14519748—21no—
335#14519748—21no—
336#14519748—21no—
337#14519748—21no—
338#14519748C2311yescharacteristic
339#14519747—21no—
340#14519747—21no—
341#14519746—21no—
342#14519746—21no—
343#14519746—21no—
344#14519745—21no—
345#14519745—21no—
346Q8×Dic61—21no—
347Q8×Dic61C2311yescharacteristic
348C4×Dic122—21no—
349C4×Dic122—21no—
350C4×Dic122C2311yescharacteristic
351C4×Dic122C2311yescharacteristic
352C4×Dic122C2311yescharacteristic
353#14519742C2311yescharacteristic
354#14519742C2311yescharacteristic
355#14519742C2311yescharacteristic
356#14519742C2311yescharacteristic
357#14519742C2311yescharacteristic
358C4×D244—21no—
359D4×Dic61—21no—
360D4×Dic61—21no—
361D4×Dic61C2311yescharacteristic
362D4×Dic61C2311yescharacteristic
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⋊D61C2311yescharacteristic
374C4×C22⋊D61C2311yescharacteristic
375#14519737—21no—
376#14519737—21no—
377#14519737—21no—
378#14519737—21no—
379#14519737—21no—
380#14519737—21no—
381#14519736C2311yescharacteristic
382#14519734—21no—
383#14519734—21no—
384#14519734C2311yescharacteristic
385#14519733—21no—
386#14519733—21no—
387#14519733—21no—
388#14519733—21no—
389#14519733—21no—
390C2×#11758196—21no—
391C4⋊C4×D61—21no—
392C4⋊C4×D61C2311yescharacteristic
393C22⋊C4×D61—21no—
394C2×C4×Dic61C2311yescharacteristic
395C42×D61—21no—
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
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#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C4×#92418C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#124×C61—21no—
450#124×C61—21no—
451#124×C61C2311yescharacteristic
452#123×C61—21no—
453C22⋊Q8×C61C2311yescharacteristic
454#121×C61—21no—
455#121×C61—21no—
456#121×C61C2311yescharacteristic
457#121×C61C2311yescharacteristic
458#121×C61C2311yescharacteristic
459#120×C61—21no—
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463#117×C61—21no—
464#117×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466C2×C22⋊C4×C61—21no—
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C24×C61—21no—
485C23×D61—21no—
486#41×C61—41no—
487#41×C61—41no—
488C2×Q8×C61—21no—
489C2×Q8×C61C2411yescharacteristic
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—41no—
496C2×D4×C61—41no—
497C2×D4×C61C2×D411yescharacteristic
498C2×D4×C61C2411yescharacteristic
499C2×D4×C61C2411yescharacteristic
500C2×D4×C61C2411yescharacteristic
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⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—82no—
524C2×C22⋊D61C2×D411yescharacteristic
525C2×C22⋊D61C2×D411yescharacteristic
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61C2×D411yescharacteristic
531C22×Dic61C2×D411yescharacteristic
532#11758226—41no—
533#11758226—41no—
534#11758224—22no—
535#11758224—41no—
536#11758224—82no—
537D4×D61—41no—
538D4×D61—41no—
539#11758222—22no—
540#11758222—41no—
541#11758222—41no—
542#11758222—41no—
543#11758222—41no—
544#11758222—41no—
545#11758222—82no—
546C2×D244—21no—
547C2×D244—21no—
548C2×D244—21no—
549C2×D244—21no—
550C2×D244C2411yescharacteristic
551C2×D244C2411yescharacteristic
552C2×D244C2411yescharacteristic
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×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61C2411yescharacteristic
563C2×Dic122—22no—
564C2×Dic122—21no—
565C2×Dic122—21no—
566C2×Dic122—41no—
567C2×Dic122C2×D411yescharacteristic
568C2×Dic122C2411yescharacteristic
569C2×Dic122C2411yescharacteristic
570C2×Dic122C2411yescharacteristic
571SD16×C61—41no—
572D8×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×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×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61C2×D411yescharacteristic
598C22⋊C4×C61C2×D411yescharacteristic
599C42×C61—21no—
600C42×C61—21no—
601C42×C61C2411yescharacteristic
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61C2×D411yescharacteristic
613C22⋊Dic61C2×D411yescharacteristic
614C22⋊Dic61C2×D411yescharacteristic
615C22⋊Dic61C2×D411yescharacteristic
616#11758202—22no—
617#11758202—41no—
618#11758201—41no—
619#11758200—22no—
620#11758200—22no—
621#11758200—41no—
622#11758200—41no—
623#11758200—41no—
624#11758199—41no—
625#11758199—41no—
626#11758199—41no—
627#11758199—41no—
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#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61C2×D411yescharacteristic
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
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#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
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
689C2×#92418—41no—
690C2×#92418—41no—
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—22no—
696Dic244—41no—
697D488—41no—
698D488—41no—
699#11758190—22no—
700#11758190—22no—
701#11758190—41no—
702#11758190—41no—
703#11758190—41no—
704#11758189—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—81no—
710C23×C61—81no—
711C23×C61—81no—
712C23×C61C22×D411yescharacteristic
713C23×C61C22×D411yescharacteristic
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61C22×D411yescharacteristic
721Q8×C61—21no—
722Q8×C61—21no—
723Q8×C61—81no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—21no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—41no—
731D4×C61—81no—
732D4×C61—81no—
733D4×C61—81no—
734D4×C61—81no—
735D4×C61—81no—
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—21no—
745C2×C4×C61—81no—
746C2×C4×C61—81no—
747C2×C4×C61—81no—
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C2511yescharacteristic
753C22⋊D61—41no—
754C22⋊D61—41no—
755C22⋊D61—42no—
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—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—41no—
778C2×Dic61—41no—
779C2×Dic61—42no—
780C2×Dic61—42no—
781C2×Dic61—42no—
782C2×Dic61—81no—
783C2×Dic61C22×D411yescharacteristic
784C2×Dic61C22×D411yescharacteristic
785C2×Dic61C22×D411yescharacteristic
786C2×Dic61C22×D411yescharacteristic
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790D244—21no—
791D244—21no—
792D244—21no—
793D244—21no—
794D244—21no—
795D244—21no—
796D244—81no—
797D244—81no—
798D244—81no—
799D244—81no—
800C4×D61—21no—
801C4×D61—21no—
802C4×D61—42no—
803C4×D61—42no—
804C4×D61—81no—
805C4×D61—81no—
806C4×D61—81no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61—81no—
810C4×D61—81no—
811Dic122—21no—
812Dic122—21no—
813Dic122—21no—
814Dic122—21no—
815Dic122—21no—
816Dic122—41no—
817Dic122—42no—
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×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—162no—
845C22×C61C23×D411yescharacteristic
846C2×D61—21no—
847C2×D61—21no—
848C2×D61—21no—
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—41no—
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×C61C2×H(5,𝔽2)11yescharacteristic
869C4×C61#58511yescharacteristic
870Dic61—21no—
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—22no—
877Dic61—21no—
878Dic61—41no—
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#3319D6111yescharacteristic, complemented
889#3318—611no—
890#3317—611no—
891#3307—611no—
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—81no—
918C2×C61#348811yescharacteristic
919C2×C61#358411yescharacteristic
920C2×C61#358511yescharacteristic
921D61—41no—
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—1221no—
938#555C2×D6111yescharacteristic, complemented
939#553—611no—
940#553—1221no—
941#553—1221no—
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#547—611no—
951#546—611no—
952#546—1221no—
953#546C2×D6111yescharacteristic
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#491—611no—
983#490—611no—
984#490—611no—
985#489C2×D6111yescharacteristic
986#488—611no—
987#486—611no—
988#485C2×D6111yescharacteristic, complemented
989#483—611no—
990#482—611no—
991#482—611no—
992#482C2×D6111yescharacteristic
993#481—611no—
994#479—611no—
995#478—611no—
996#478—611no—
997#478—611no—
998#477—611no—
999#477—611no—
1000#476—611no—
1001#475—611no—
1002#474—611no—
1003#474C2×D6111yescharacteristic, complemented
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#466C2×D6111yescharacteristic
1013#465—611no—
1014#465—611no—
1015#465—611no—
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#463C2×D6111yescharacteristic
1032#462—611no—
1033#461—611no—
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#449—611no—
1059#449C2×D6111yescharacteristic, complemented
1060#448—611no—
1061#447—611no—
1062#447—611no—
1063#447C2×D6111yescharacteristic
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, complemented
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#418C2×D6111yescharacteristic
1091#417—611no—
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—611no—
1102C2×#41—1221no—
1103C2×#41—1221no—
1104C2×#41C22×D6111yescharacteristic
1105C22×Q8—611no—
1106C22×D4—611no—
1107C22×D4—1221no—
1108C22×D4C22×D6111yescharacteristic
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—611no—
1129C2×SD16—2442no—
1130C2×SD16C22×D6111yescharacteristic
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8—611no—
1137C2×D8C22×D6111yescharacteristic
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—611no—
1158#126—611no—
1159#126—1221no—
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—611no—
1170#125—1221no—
1171#125—1221no—
1172#125—1221no—
1173#124—21no—
1174#124—21no—
1175#124—611no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124—611no—
1180#124—611no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124C22×D6111yescharacteristic
1189#123—21no—
1190#123—611no—
1191#123—611no—
1192#123—1221no—
1193#123—1221no—
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—611no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
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—1221no—
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#121C22×D6111yescharacteristic
1249#121C22×D6111yescharacteristic
1250#121C22×D6111yescharacteristic
1251#120—21no—
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—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—1221no—
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—21no—
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#117C22×D6111yescharacteristic
1308#117C22×D6111yescharacteristic
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—1221no—
1311C2×C4⋊C4—1221no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—1221no—
1314C2×C42—611no—
1315C2×C42—1221no—
1316#107—611no—
1317#107—611no—
1318#107C22×D6111yescharacteristic
1319#107C22×D6111yescharacteristic
1320#106—611no—
1321#106—611no—
1322#106—611no—
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#103—611no—
1341#103—611no—
1342#103—611no—
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#102C22×D6111yescharacteristic
1360#102C22×D6111yescharacteristic
1361#102C22×D6111yescharacteristic
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—21no—
1379C24—1221no—
1380#41—41no—
1381#41—41no—
1382#41—1222no—
1383#41—1222no—
1384#41—4882no—
1385#41—4882no—
1386#41—2441no—
1387#41—2441no—
1388#41—2441no—
1389#41—2441no—
1390#41—2441no—
1391#41—2441no—
1392#41—2441no—
1393#41—2441no—
1394C2×Q8—21no—
1395C2×Q8—611no—
1396C2×Q8—611no—
1397C2×Q8—611no—
1398C2×Q8—611no—
1399C2×Q8—1221no—
1400C2×Q8—1222no—
1401C2×Q8—1221no—
1402C2×Q8—2441no—
1403C2×Q8C23×D6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—611no—
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—1221no—
1437C2×D4—4882no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4D4×D6111yescharacteristic
1441C2×D4C23×D6111yescharacteristic
1442C2×D4C23×D6111yescharacteristic
1443C2×D4C23×D6111yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—611no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—1221no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—1221no—
1462C22×C4—1221no—
1463C22×C4C23×D6111yescharacteristic
1464C22×C4C23×D6111yescharacteristic
1465Q16—1222no—
1466Q16—1222no—
1467Q16—2441no—
1468Q16—2441no—
1469SD16—41no—
1470SD16—1222no—
1471SD16—1222no—
1472SD16—1222no—
1473SD16—1222no—
1474SD16—2441no—
1475SD16—2441no—
1476SD16—2441no—
1477SD16—2441no—
1478SD16—2441no—
1479SD16—2441no—
1480SD16—2441no—
1481D8—41no—
1482D8—41no—
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—611no—
1506C4⋊C4—611no—
1507C4⋊C4—611no—
1508C4⋊C4—611no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
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—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—611no—
1556C22⋊C4—611no—
1557C22⋊C4—611no—
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—21no—
1586C42—611no—
1587C42—611no—
1588C42—611no—
1589C42—611no—
1590C42—611no—
1591C42—1221no—
1592C42—1221no—
1593C42—1221no—
1594C42—1221no—
1595C42—1221no—
1596C42—1221no—
1597C42—1221no—
1598C42—1221no—
1599C42C23×D6111yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—81no—
1604C23—81no—
1605C23—81no—
1606C23—611no—
1607C23—1221no—
1608C23—1221no—
1609C23—1221no—
1610C23—4881no—
1611C23—4881no—
1612C23—4881no—
1613C23C2×D4×D6111yescharacteristic
1614C23C2×D4×D6111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—81no—
1618Q8—612no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—1221no—
1622Q8—1221no—
1623Q8—1221no—
1624Q8—4881no—
1625Q8—2441no—
1626Q8—2442no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—41no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—1221no—
1640D4—1221no—
1641D4—1221no—
1642D4—1221no—
1643D4—1221no—
1644D4—1221no—
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—2441no—
1664D4—2441no—
1665D4—2442no—
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—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—611no—
1681C2×C4—611no—
1682C2×C4—611no—
1683C2×C4—611no—
1684C2×C4—611no—
1685C2×C4—611no—
1686C2×C4—611no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—4881no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—2442no—
1703C2×C4—2442no—
1704C2×C4—2441no—
1705C2×C4—2441no—
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—41no—
1735C22—41no—
1736C22—41no—
1737C22—162no—
1738C22—1221no—
1739C22—1221no—
1740C22—1221no—
1741C22—9762no—
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—1221no—
1762C4—1222no—
1763C4—1221no—
1764C4—1221no—
1765C4—1221no—
1766C4—1221no—
1767C4—1221no—
1768C4—1221no—
1769C4—2441no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4H(5,𝔽2)×D6111yescharacteristic
1774C4#1684059811yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—4881no—
1781C2—4881no—
1782C2—4881no—
1783C2—2441no—
1784C2#2145948211yescharacteristic
1785C2#2146059211yescharacteristic
1786C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3319C2
socleC22×C61C23×D4
hypercenter#3319D61
hypocenterC61#62026
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #21460186C2semidirect
2. #21459919C2semidirect
3. #21458883C2semidirect
4. #21458862C2semidirect
5. #21458660C2semidirect
6. #21458547C2semidirect
7. #21457961C2semidirect
8. #21457941C2semidirect
9. #21457793C2semidirect
10. #21457763C2semidirect
11. #21457657C2semidirect
12. #21457572C2semidirect
13. #21457522C2semidirect
14. #21457409C2semidirect
15. #21457381C2semidirect
16. #21457356C2semidirect
17. #21457318C2semidirect
18. #21457279C2semidirect
19. #21457225C2semidirect
20. #21457138C2semidirect
21. #21456914C2semidirect
22. #21456865C2semidirect
23. #21456854C2semidirect
24. #21456100C2semidirect
25. #21456051C2semidirect
26. #21455965C2semidirect
27. #21455359C2semidirect
28. #21455339C2semidirect
29. #21455272C2semidirect
30. #21454959C2semidirect
31. C61×#3319C2semidirect
32. C2×#14519810C22semidirect
34. C2×#14519799C22semidirect
35. C2×#14519798C22semidirect
36. C2×#14519797C22semidirect
40. #16840495C22semidirect
42. #16840487C22semidirect
48. #16840451C22semidirect
53. #16840430C22semidirect
54. #16840421C22semidirect
60. #16840386C22semidirect
64. #16840365C22semidirect
74. #16840293C22semidirect
78. #16840241C22semidirect
79. #16840239C22semidirect
80. #16840230C22semidirect
81. #16840153C22semidirect
82. #16840151C22semidirect
86. #16840137C22semidirect
87. #16840129C22semidirect
89. #16840125C22semidirect
91. #16840110C22semidirect
92. #16840094C22semidirect
94. #16840086C22semidirect
96. #16840067C22semidirect
97. #16840065C22semidirect
98. #16840065C22semidirect
100. #16840056C22semidirect
101. #16840054C22semidirect
102. #16840050C22semidirect
103. #16840046C22semidirect
104. #16840041C22semidirect
106. #16840009C22semidirect
108. #16840004C22semidirect
111. #16839996C22semidirect
112. #16839993C22semidirect
113. #16839991C22semidirect
115. #16839987C22semidirect
116. #16839987C22semidirect
117. #16839985C22semidirect
120. #16839983C22semidirect
121. #16839983C22semidirect
123. #16839980C22semidirect
124. #16839979C22semidirect
125. #16839977C22semidirect
126. #16839976C22semidirect
127. #16839976C22semidirect
129. #16839975C22semidirect
130. #16839971C22semidirect
131. #16839966C22semidirect
132. #16839963C22semidirect
136. #16839961C22semidirect
137. #16839961C22semidirect
138. #16839960C22semidirect
139. #16839957C22semidirect
142. #16839956C22semidirect
144. #16839927C22semidirect
145. #16839926C22semidirect
146. #16839925C22semidirect
147. #16839924C22semidirect
148. #16839917C22semidirect
150. #16839910C22semidirect
151. #16839909C22semidirect
152. #16839909C22semidirect
154. #16839905C22semidirect
155. #16839905C22semidirect
160. #16839890C22semidirect
161. #16839889C22semidirect
162. #16839873C22semidirect
164. #16839870C22semidirect
165. #16839866C22semidirect
166. #16839861C22semidirect
167. #16839861C22semidirect
169. #16839854C22semidirect
170. #16839849C22semidirect
171. C4×#11758200C22semidirect
172. C4×#11758200C22semidirect
173. #16839833C22semidirect
176. D4×#92418C22semidirect
177. #16839825C22semidirect
178. #16839824C22semidirect
179. #16839820C22semidirect
180. #16839816C22semidirect
181. #16839790C22semidirect
182. #16839787C22semidirect
183. C2×#14519706C22semidirect
184. #16839762C22semidirect
185. #16839756C22semidirect
186. #16839756C22semidirect
188. C61×#555C22semidirect
191. C61×#485C22semidirect
193. C61×#474C22semidirect
194. C61×#468C22semidirect
197. C61×#449C22semidirect
199. C61×#442C22semidirect
200. C61×#435C22semidirect
202. C61×#416C22semidirect
888. #3319D61semidirect
938. #555C2×D61semidirect
988. #485C2×D61semidirect
1003. #474C2×D61semidirect
1007. #468C2×D61semidirect
1059. #449C2×D61semidirect
1068. #442C2×D61semidirect
1081. #435C2×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
#214601862
#214599192
#214588832
#214588622
#214586602
#214585472
#214579612
#214579412
#214577932
#214577632
#214576572
#214575722
#214575222
#214574092
#214573812
#214573562
#214573182
#214572792
#214572252
#214571382
#214569142
#214568652
#214568542
#214561002
#214560512
#214559652
#214553592
#214553392
#214552722
#214549592
C61×#33192
#6202661