Finite Group Databasebeta

← #30573483

Subgroups — #30573483

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460412C211yesmaximal, characteristic, complemented
2#21459829C211yesmaximal, characteristic, complemented
3#21458893C211yesmaximal, characteristic, complemented
4#21458881C211yesmaximal, characteristic, complemented
5#21458636C211yesmaximal, characteristic, complemented
6#21458564C211yesmaximal, characteristic, complemented
7#21458001C211yesmaximal, characteristic, complemented
8#21457978C211yesmaximal, characteristic, complemented
9#21457883C211yesmaximal, characteristic, complemented
10#21457849C211yesmaximal, characteristic, complemented
11#21457754C211yesmaximal, characteristic, complemented
12#21457563C211yesmaximal, characteristic, complemented
13#21457531C211yesmaximal, characteristic, complemented
14#21457408C211yesmaximal, characteristic, complemented
15#21457387C211yesmaximal, characteristic, complemented
16#21457370C211yesmaximal, characteristic, complemented
17#21457326C211yesmaximal, characteristic, complemented
18#21457248C211yesmaximal, characteristic, complemented
19#21457237C211yesmaximal, characteristic, complemented
20#21457151C211yesmaximal, characteristic, complemented
21#21456931C211yesmaximal, characteristic, complemented
22#21456919C211yesmaximal, characteristic, complemented
23#21456827C211yesmaximal, characteristic, complemented
24#21456115C211yesmaximal, characteristic, complemented
25#21456107C211yesmaximal, characteristic, complemented
26#21455931C211yesmaximal, characteristic, complemented
27#21455344C211yesmaximal, characteristic, complemented
28#21455343C211yesmaximal, characteristic, complemented
29#21455272C211yesmaximal, characteristic, complemented
30#21454952C211yesmaximal, characteristic, complemented
31C61×#3302C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519807C2211yescharacteristic
34C2×#14519799C2211yescharacteristic
35C2×#14519797C2211yescharacteristic, complemented
36C2×Q16×D61C2211yescharacteristic, complemented
37C22×#11758190C2211yescharacteristic
38#16840509—21no—
39#16840500—21no—
40#16840495C2211yescharacteristic
41#16840492C2211yescharacteristic, complemented
42#16840486C2211yescharacteristic
43#16840484—21no—
44#16840484C2211yescharacteristic, complemented
45#16840480C2211yescharacteristic, complemented
46#16840479—21no—
47#16840479—21no—
48#16840475C2211yescharacteristic
49#16840474—21no—
50#16840460—21no—
51#16840440—21no—
52#16840431C2211yescharacteristic
53#16840425C2211yescharacteristic
54#16840422C2211yescharacteristic
55#16840422C2211yescharacteristic, complemented
56#16840421C2211yescharacteristic
57#16840419C2211yescharacteristic
58#16840408C2211yescharacteristic
59#16840403C2211yescharacteristic
60#16840386C2211yescharacteristic, complemented
61#16840385C2211yescharacteristic
62#16840378—21no—
63#16840376—21no—
64#16840372C2211yescharacteristic
65#16840364—21no—
66#16840363C2211yescharacteristic
67#16840359—21no—
68#16840348—21no—
69#16840344—21no—
70#16840337C2211yescharacteristic
71#16840326C2211yescharacteristic
72#16840316—21no—
73#16840314C2211yescharacteristic, complemented
74#16840308C2211yescharacteristic
75#16840298C2211yescharacteristic
76#16840295—21no—
77#16840292C2211yescharacteristic
78#16840239C2211yescharacteristic
79#16840238C2211yescharacteristic, complemented
80#16840230C2211yescharacteristic, complemented
81#16840155C2211yescharacteristic
82#16840154C2211yescharacteristic, complemented
83#16840153C2211yescharacteristic, complemented
84#16840148C2211yescharacteristic
85#16840147C2211yescharacteristic
86#16840146C2211yescharacteristic
87#16840124C2211yescharacteristic
88#16840123C2211yescharacteristic
89#16840123C2211yescharacteristic
90#16840120C2211yescharacteristic, complemented
91#16840107C2211yescharacteristic
92#16840103C2211yescharacteristic
93#16840088C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840085C2211yescharacteristic, complemented
96#16840072C2211yescharacteristic, complemented
97#16840068C2211yescharacteristic, complemented
98#16840067C2211yescharacteristic, complemented
99#16840065C2211yescharacteristic, complemented
100#16840056C2211yescharacteristic, complemented
101#16840049C2211yescharacteristic
102#16840045C2211yescharacteristic, complemented
103#16840045C2211yescharacteristic, complemented
104#16840041C2211yescharacteristic
105#16840018C2211yescharacteristic
106#16840014C2211yescharacteristic, complemented
107#16840010C2211yescharacteristic
108#16840009C2211yescharacteristic
109#16840001C2211yescharacteristic, complemented
110#16839999C2211yescharacteristic
111#16839993C2211yescharacteristic
112#16839991C2211yescharacteristic
113#16839991C2211yescharacteristic
114#16839990C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic
116#16839987C2211yescharacteristic
117#16839987C2211yescharacteristic
118#16839987C2211yescharacteristic
119#16839987C2211yescharacteristic
120#16839987C2211yescharacteristic, complemented
121#16839986C2211yescharacteristic
122#16839986C2211yescharacteristic, complemented
123#16839985C2211yescharacteristic
124#16839984C2211yescharacteristic
125#16839983C2211yescharacteristic, complemented
126#16839980C2211yescharacteristic
127#16839980C2211yescharacteristic
128#16839978C2211yescharacteristic
129#16839977C2211yescharacteristic, complemented
130#16839976C2211yescharacteristic, complemented
131#16839971C2211yescharacteristic, complemented
132#16839971C2211yescharacteristic, complemented
133#16839970C2211yescharacteristic, complemented
134#16839970C2211yescharacteristic, complemented
135#16839969C2211yescharacteristic, complemented
136#16839966C2211yescharacteristic
137#16839966C2211yescharacteristic, complemented
138#16839961C2211yescharacteristic
139#16839961C2211yescharacteristic
140#16839961C2211yescharacteristic
141#16839961C2211yescharacteristic
142#16839960C2211yescharacteristic
143#16839956C2211yescharacteristic
144#16839927C2211yescharacteristic
145#16839926C2211yescharacteristic
146#16839924C2211yescharacteristic, complemented
147#16839922C2211yescharacteristic
148#16839922C2211yescharacteristic, complemented
149#16839920C2211yescharacteristic
150#16839919C2211yescharacteristic, complemented
151#16839917C2211yescharacteristic
152#16839912C2211yescharacteristic
153#16839910C2211yescharacteristic
154#16839909C2211yescharacteristic
155#16839907C2211yescharacteristic
156#16839902C2211yescharacteristic
157#16839902C2211yescharacteristic, complemented
158#16839899C2211yescharacteristic, complemented
159#16839898C2211yescharacteristic
160#16839892C2211yescharacteristic, complemented
161#16839891C2211yescharacteristic, complemented
162#16839873C2211yescharacteristic
163#16839868C2211yescharacteristic, complemented
164#16839866C2211yescharacteristic, complemented
165#16839866C2211yescharacteristic, complemented
166#16839865C2211yescharacteristic, complemented
167#16839862C2211yescharacteristic, complemented
168#16839861C2211yescharacteristic
169#16839860C2211yescharacteristic
170#16839856C2211yescharacteristic, complemented
171#16839854C2211yescharacteristic, complemented
172C4×#11758190C2211yescharacteristic
173#16839836C2211yescharacteristic
174#16839834C2211yescharacteristic
175#16839833C2211yescharacteristic
176#16839830C2211yescharacteristic, complemented
177C8×C22⋊D61C2211yescharacteristic, complemented
178#16839821C2211yescharacteristic, complemented
179#16839820C2211yescharacteristic
180#16839816C2211yescharacteristic, complemented
181#16839788C2211yescharacteristic
182#16839787C2211yescharacteristic, complemented
183C2×#14519706C2211yescharacteristic, complemented
184#16839769C2211yescharacteristic, complemented
185#16839766C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839756C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#547C2211yescharacteristic
190C61×#487C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic
192C61×#485C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic
195C61×#467C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic
198C61×#452C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic, complemented
200C8×D4×C61C2211yescharacteristic
201C61×#416C2211yescharacteristic
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C22×D244C2311yescharacteristic
210#14519809—42no—
211#14519807—42no—
212#14519799—42no—
213#14519797—42no—
214C2×Dic244C2311yescharacteristic
215C2×Dic244C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221Q16×D61—42no—
222C2×#11758190—42no—
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×D488C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758194C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C22×#92418C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241#14519776—21no—
242#14519776—21no—
243#14519776C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519775—21no—
246#14519775—21no—
247#14519775C2311yescharacteristic
248#14519775C2311yescharacteristic
249#14519773—21no—
250#14519773C2311yescharacteristic
251#14519773C2311yescharacteristic
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772D411yescharacteristic
259#14519771—21no—
260#14519771—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770—21no—
264#14519770D411yescharacteristic
265#14519768—21no—
266#14519768C2311yescharacteristic
267#14519767—21no—
268#14519767—21no—
269#14519767D411yescharacteristic
270#14519766—21no—
271#14519766C2311yescharacteristic
272#14519766C2311yescharacteristic
273#14519766C2311yescharacteristic
274#14519766C2311yescharacteristic
275#14519765—21no—
276#14519765C2311yescharacteristic
277#14519765C2311yescharacteristic
278#14519764—21no—
279#14519764C2311yescharacteristic
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763—21no—
287#14519763D411yescharacteristic
288#14519762—21no—
289#14519762—21no—
290#14519762—21no—
291#14519762—21no—
292#14519762—21no—
293#14519761—21no—
294#14519761D411yescharacteristic
295#14519760—21no—
296#14519760—21no—
297#14519759—21no—
298#14519759—21no—
299#14519759—21no—
300#14519758D411yescharacteristic
301#14519757—21no—
302#14519757—21no—
303#14519757C2311yescharacteristic
304#14519756—21no—
305#14519756C2311yescharacteristic
306#14519756C2311yescharacteristic
307#14519755—21no—
308#14519755—21no—
309#14519755—21no—
310#14519755—21no—
311#14519755—21no—
312#14519755—21no—
313#14519755—21no—
314#14519754—21no—
315#14519754—21no—
316#14519754D411yescharacteristic
317#14519753—21no—
318#14519752—21no—
319#14519752C2311yescharacteristic
320#14519752C2311yescharacteristic
321#14519751—21no—
322#14519751—21no—
323#14519751—21no—
324#14519751—21no—
325#14519751C2311yescharacteristic
326#14519751C2311yescharacteristic
327#14519750—21no—
328#14519750—21no—
329#14519750—21no—
330#14519750—21no—
331#14519750—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749D411yescharacteristic
336#14519748—21no—
337#14519748—21no—
338#14519748C2311yescharacteristic
339#14519747—21no—
340#14519745—21no—
341#14519745—21no—
342#14519745—21no—
343Q8×Dic61C2311yescharacteristic
344Q8×Dic61C2311yescharacteristic
345Q8×Dic61C2311yescharacteristic
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122—21no—
349C4×Dic122—21no—
350C4×Dic122C2311yescharacteristic
351C4×Dic122C2311yescharacteristic
352#14519742—21no—
353#14519742—21no—
354#14519742—21no—
355#14519742C2311yescharacteristic
356#14519742C2311yescharacteristic
357#14519742C2311yescharacteristic
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360#14519742C2311yescharacteristic
361C4×D244C2311yescharacteristic
362#14519739—21no—
363#14519739—21no—
364#14519739C2311yescharacteristic
365#14519739C2311yescharacteristic
366#14519739C2311yescharacteristic
367C4×C22⋊D61—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61—21no—
370C4×C22⋊D61—21no—
371C4×C22⋊D61—21no—
372C4×C22⋊D61C2311yescharacteristic
373C4×C22⋊D61C2311yescharacteristic
374#14519737—21no—
375#14519737—21no—
376#14519737—21no—
377#14519737—21no—
378#14519737—21no—
379#14519736C2311yescharacteristic
380#14519735—21no—
381#14519735—21no—
382#14519735—21no—
383#14519735C2311yescharacteristic
384#14519734—21no—
385#14519734—21no—
386#14519734—21no—
387#14519734—21no—
388#14519734C2311yescharacteristic
389#14519733—21no—
390#14519733—21no—
391#14519733—21no—
392C22⋊C4×D61—21no—
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#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
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#14519688C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439#14519687C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×#41×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×Q16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449C4⋊Q8×C61C2311yescharacteristic
450#126×C61—21no—
451#126×C61—21no—
452#124×C61—21no—
453#123×C61—21no—
454#123×C61—21no—
455C22⋊Q8×C61C2311yescharacteristic
456C22⋊Q8×C61C2311yescharacteristic
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459#121×C61—21no—
460C4×Q8×C61—21no—
461C4×Q8×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464#117×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466C2×C4⋊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#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—41no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61—21no—
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61C2×D411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61C2411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61C2×D411yescharacteristic
512C2×C22⋊D61C2×D411yescharacteristic
513C22×Dic61—21no—
514C22×Dic61C2×D411yescharacteristic
515C22×Dic61C2×D411yescharacteristic
516#11758226—41no—
517#11758226—41no—
518Q8×D61—22no—
519Q8×D61—41no—
520Q8×D61—41no—
521Q8×D61—41no—
522#11758222—22no—
523#11758222—41no—
524#11758222—41no—
525#11758222—41no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244—41no—
531C2×D244—41no—
532C2×D244C2411yescharacteristic
533C2×D244C2411yescharacteristic
534C2×D244C2411yescharacteristic
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61C2411yescharacteristic
545C2×Dic122—22no—
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—41no—
552C2×Dic122C2×D411yescharacteristic
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—41no—
557Q16×C61—41no—
558SD16×C61—41no—
559C2×C8×C61—41no—
560C2×C8×C61—41no—
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C2×C8×C61C2411yescharacteristic
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61C2×D411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C4⋊C4×C61C2411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61C2×D411yescharacteristic
586C22⋊C4×C61C2×D411yescharacteristic
587C42×C61—21no—
588C42×C61—21no—
589C42×C61—21no—
590C42×C61C2411yescharacteristic
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61C2×D411yescharacteristic
597C22⋊Dic61C2×D411yescharacteristic
598C22⋊Dic61C2×D411yescharacteristic
599C22⋊Dic61C2×D411yescharacteristic
600#11758202—22no—
601#11758202—22no—
602#11758202—41no—
603#11758202—41no—
604#11758202—41no—
605#11758201—41no—
606#11758201—41no—
607#11758201—41no—
608#11758201—41no—
609#11758200—22no—
610#11758200—41no—
611#11758199—41no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198C2×D411yescharacteristic
635#11758198C2×D411yescharacteristic
636#11758198C2×D411yescharacteristic
637#11758198C2×D411yescharacteristic
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61C2×D411yescharacteristic
644C4⋊Dic61C2×D411yescharacteristic
645C4⋊Dic61C2×D411yescharacteristic
646C4⋊Dic61C2411yescharacteristic
647C4⋊Dic61C2411yescharacteristic
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
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#11758196C2×D411yescharacteristic
665#11758196C2×D411yescharacteristic
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2411yescharacteristic
684C4×Dic61C2411yescharacteristic
685C4×Dic61C2411yescharacteristic
686#11758194—41no—
687C2×#92418—41no—
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692Dic244—22no—
693Dic244—41no—
694D488—41no—
695D488—41no—
696#11758190—22no—
697#11758190—22no—
698#11758190—41no—
699#11758190—41no—
700#11758190—41no—
701#11758189—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61C22×D411yescharacteristic
705C23×C61C22×D411yescharacteristic
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—81no—
710C22×D61—81no—
711C22×D61—81no—
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—81no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—41no—
723D4×C61—81no—
724D4×C61—81no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—81no—
737C2×C4×C61—81no—
738C2×C4×C61—81no—
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C2511yescharacteristic
744C22⋊D61—41no—
745C22⋊D61—41no—
746C22⋊D61—42no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C22⋊D61—81no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—41no—
761C2×Dic61—41no—
762C2×Dic61—42no—
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770D244—21no—
771D244—21no—
772D244—21no—
773D244—21no—
774D244—21no—
775D244—21no—
776D244—81no—
777D244—81no—
778D244—81no—
779D244—81no—
780C4×D61—21no—
781C4×D61—21no—
782C4×D61—42no—
783C4×D61—42no—
784C4×D61—42no—
785C4×D61—81no—
786C4×D61—81no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—41no—
797Dic122—42no—
798Dic122—42no—
799Dic122—81no—
800Dic122—81no—
801Dic122—81no—
802Dic122H(5,𝔽2)12yes—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—21no—
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61C23×D411yescharacteristic
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—162no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—41no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61C2×H(5,𝔽2)11yescharacteristic
847C4×C61#58511yescharacteristic
848Dic61—21no—
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—21no—
854Dic61—22no—
855Dic61—21no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302D6111yescharacteristic, complemented
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—41no—
892C2×C61—41no—
893C2×C61—81no—
894C2×C61#348811yescharacteristic
895C2×C61#358411yescharacteristic
896C2×C61#358611yescharacteristic
897D61—41no—
898D61—81no—
899D61—81no—
900D61—81no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—611no—
914#556—1221no—
915#556—1221no—
916#556—1221no—
917#556C2×D6111yescharacteristic
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547C2×D6111yescharacteristic
929#546—611no—
930#546—611no—
931#542—611no—
932#542—611no—
933#542—1221no—
934#542—1221no—
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535—611no—
943#533—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#489—611no—
959#489—611no—
960#489—611no—
961#489—611no—
962#487C2×D6111yescharacteristic, complemented
963#486—611no—
964#485—611no—
965#485C2×D6111yescharacteristic
966#485C2×D6111yescharacteristic, complemented
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474—611no—
979#474C2×D6111yescharacteristic, complemented
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467C2×D6111yescharacteristic
986#467C2×D6111yescharacteristic, complemented
987#466—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464—611no—
1001#464—611no—
1002#464—611no—
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462C2×D6111yescharacteristic, complemented
1014#461—611no—
1015#461—611no—
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460—611no—
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452C2×D6111yescharacteristic
1028#452C2×D6111yescharacteristic, complemented
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447—611no—
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16C2×D6111yescharacteristic, complemented
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4C2×D6111yescharacteristic
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416C2×D6111yescharacteristic
1071#416C2×D6111yescharacteristic, complemented
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41C22×D6111yescharacteristic
1077C2×#41C22×D6111yescharacteristic
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081C22×D4—611no—
1082#137—2442no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—2442no—
1094C2×Q16C22×D6111yescharacteristic
1095C2×Q16C22×D6111yescharacteristic
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—611no—
1107C2×SD16—2442no—
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8C22×D6111yescharacteristic
1117C22×C8C22×D6111yescharacteristic
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—1221no—
1123C4⋊Q8—1221no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8C22×D6111yescharacteristic
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—611no—
1130#127—1221no—
1131#126—21no—
1132#126—21no—
1133#126—611no—
1134#126—611no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—21no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—611no—
1158#124—611no—
1159#124—611no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124—1221no—
1168#124—1221no—
1169#124—1221no—
1170#123—21no—
1171#123—21no—
1172#123—611no—
1173#123—611no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—1221no—
1190C22⋊Q8—1221no—
1191C22⋊Q8—1221no—
1192C22⋊Q8—1221no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8C22×D6111yescharacteristic
1203C22⋊Q8C22×D6111yescharacteristic
1204C22⋊Q8C22×D6111yescharacteristic
1205C22⋊Q8C22×D6111yescharacteristic
1206#121—21no—
1207#121—611no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—21no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—611no—
1241C4×Q8—611no—
1242C4×Q8—611no—
1243C4×Q8—611no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8—1221no—
1249C4×Q8—1221no—
1250C4×Q8—1221no—
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4C22×D6111yescharacteristic
1271C4×D4C22×D6111yescharacteristic
1272#117—611no—
1273#117—611no—
1274#117—611no—
1275#117—1221no—
1276#117—1221no—
1277#117—1221no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117C22×D6111yescharacteristic
1286#117C22×D6111yescharacteristic
1287C2×C4⋊C4—21no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107—611no—
1294#107C22×D6111yescharacteristic
1295#107C22×D6111yescharacteristic
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106C22×D6111yescharacteristic
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103C22×D6111yescharacteristic
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#103C22×D6111yescharacteristic
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8C22×D6111yescharacteristic
1347C22⋊C8C22×D6111yescharacteristic
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97—611no—
1352C4×C8—611no—
1353C4×C8C22×D6111yescharacteristic
1354C24—1221no—
1355#41—41no—
1356#41—41no—
1357#41—41no—
1358#41—41no—
1359#41—1222no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—611no—
1367C2×Q8—611no—
1368C2×Q8—611no—
1369C2×Q8—611no—
1370C2×Q8—1221no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1222no—
1375C2×Q8—1221no—
1376C2×Q8—1222no—
1377C2×Q8—2441no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8—2441no—
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—611no—
1387C2×D4—611no—
1388C2×D4—611no—
1389C2×D4—611no—
1390C2×D4—611no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—2441no—
1405C2×D4—2441no—
1406C2×D4D4×D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4C23×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426Q16—41no—
1427Q16—41no—
1428Q16—1222no—
1429Q16—1222no—
1430Q16—1222no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—41no—
1436SD16—1222no—
1437SD16—1222no—
1438SD16—1222no—
1439SD16—2441no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—2441no—
1448D8—2441no—
1449D8—2441no—
1450M16—2441no—
1451M16—2441no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—611no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—611no—
1481C4⋊C4—611no—
1482C4⋊C4—611no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4D4×D6111yescharacteristic
1505C4⋊C4C23×D6111yescharacteristic
1506C4⋊C4C23×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4D4×D6111yescharacteristic
1552C22⋊C4D4×D6111yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—611no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—611no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42—1221no—
1571C42—1221no—
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—611no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—4881no—
1579C23—4881no—
1580C23—4881no—
1581C23C2×D4×D6111yescharacteristic
1582C23C2×D4×D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—81no—
1590Q8—612no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—2441no—
1600Q8—2442no—
1601Q8—2442no—
1602D4—21no—
1603D4—21no—
1604D4—41no—
1605D4—81no—
1606D4—81no—
1607D4—1221no—
1608D4—1221no—
1609D4—1221no—
1610D4—1221no—
1611D4—1221no—
1612D4—1221no—
1613D4—4881no—
1614D4—4881no—
1615D4—4881no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—4881no—
1625D4—2441no—
1626D4—2441no—
1627D4—2442no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—611no—
1643C2×C4—611no—
1644C2×C4—611no—
1645C2×C4—611no—
1646C2×C4—611no—
1647C2×C4—611no—
1648C2×C4—611no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—2442no—
1663C2×C4—2442no—
1664C2×C4—2442no—
1665C2×C4—2441no—
1666C2×C4—2441no—
1667C2×C4—2442no—
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—1221no—
1691C22—1221no—
1692C22—1221no—
1693C22—9762no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—1221no—
1716C4—1222no—
1717C4—1221no—
1718C4—1221no—
1719C4—1221no—
1720C4—1221no—
1721C4—1221no—
1722C4—1221no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4H(5,𝔽2)×D6111yescharacteristic
1728C4#1684059811yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—81no—
1732C2—4881no—
1733C2—4881no—
1734C2—4881no—
1735C2—2441no—
1736C2#2145948211yescharacteristic
1737C2#2146058811yescharacteristic
1738C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3302C2
socleC22×C61C23×D4
hypercenter#3302D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3302

Complements

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

NH ≅ G/Ntype
1. #21460412C2semidirect
2. #21459829C2semidirect
3. #21458893C2semidirect
4. #21458881C2semidirect
5. #21458636C2semidirect
6. #21458564C2semidirect
7. #21458001C2semidirect
8. #21457978C2semidirect
9. #21457883C2semidirect
10. #21457849C2semidirect
11. #21457754C2semidirect
12. #21457563C2semidirect
13. #21457531C2semidirect
14. #21457408C2semidirect
15. #21457387C2semidirect
16. #21457370C2semidirect
17. #21457326C2semidirect
18. #21457248C2semidirect
19. #21457237C2semidirect
20. #21457151C2semidirect
21. #21456931C2semidirect
22. #21456919C2semidirect
23. #21456827C2semidirect
24. #21456115C2semidirect
25. #21456107C2semidirect
26. #21455931C2semidirect
27. #21455344C2semidirect
28. #21455343C2semidirect
29. #21455272C2semidirect
30. #21454952C2semidirect
31. C61×#3302C2semidirect
35. C2×#14519797C22semidirect
36. C2×Q16×D61C22semidirect
41. #16840492C22semidirect
44. #16840484C22semidirect
45. #16840480C22semidirect
55. #16840422C22semidirect
60. #16840386C22semidirect
73. #16840314C22semidirect
79. #16840238C22semidirect
80. #16840230C22semidirect
82. #16840154C22semidirect
83. #16840153C22semidirect
90. #16840120C22semidirect
95. #16840085C22semidirect
96. #16840072C22semidirect
97. #16840068C22semidirect
98. #16840067C22semidirect
99. #16840065C22semidirect
100. #16840056C22semidirect
102. #16840045C22semidirect
103. #16840045C22semidirect
106. #16840014C22semidirect
109. #16840001C22semidirect
114. #16839990C22semidirect
120. #16839987C22semidirect
122. #16839986C22semidirect
125. #16839983C22semidirect
129. #16839977C22semidirect
130. #16839976C22semidirect
131. #16839971C22semidirect
132. #16839971C22semidirect
133. #16839970C22semidirect
134. #16839970C22semidirect
135. #16839969C22semidirect
137. #16839966C22semidirect
146. #16839924C22semidirect
148. #16839922C22semidirect
150. #16839919C22semidirect
157. #16839902C22semidirect
158. #16839899C22semidirect
160. #16839892C22semidirect
161. #16839891C22semidirect
163. #16839868C22semidirect
164. #16839866C22semidirect
165. #16839866C22semidirect
166. #16839865C22semidirect
167. #16839862C22semidirect
170. #16839856C22semidirect
171. #16839854C22semidirect
176. #16839830C22semidirect
177. C8×C22⋊D61C22semidirect
178. #16839821C22semidirect
180. #16839816C22semidirect
182. #16839787C22semidirect
183. C2×#14519706C22semidirect
184. #16839769C22semidirect
190. C61×#487C22semidirect
192. C61×#485C22semidirect
193. C61×#474C22semidirect
195. C61×#467C22semidirect
196. C61×#462C22semidirect
198. C61×#452C22semidirect
199. C4×SD16×C61C22semidirect
202. C61×#416C22semidirect
871. #3302D61semidirect
962. #487C2×D61semidirect
966. #485C2×D61semidirect
979. #474C2×D61semidirect
986. #467C2×D61semidirect
1013. #462C2×D61semidirect
1028. #452C2×D61semidirect
1053. C4×SD16C2×D61semidirect
1071. #416C2×D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604122
#214598292
#214588932
#214588812
#214586362
#214585642
#214580012
#214579782
#214578832
#214578492
#214577542
#214575632
#214575312
#214574082
#214573872
#214573702
#214573262
#214572482
#214572372
#214571512
#214569312
#214569192
#214568272
#214561152
#214561072
#214559312
#214553442
#214553432
#214552722
#214549522
C61×#33022
#6201361