Finite Group Databasebeta

← #30557903

Subgroups — #30557903

Order 15616.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459533C211yesmaximal, characteristic, complemented
2#21459493C211yesmaximal, characteristic, complemented
3#21458112C211yesmaximal, characteristic, complemented
4#21458111C211yesmaximal, characteristic, complemented
5#21458040C211yesmaximal, characteristic, complemented
6#21458028C211yesmaximal, characteristic, complemented
7#21457972C211yesmaximal, characteristic, complemented
8#21457971C211yesmaximal, characteristic, complemented
9#21457891C211yesmaximal, characteristic, complemented
10#21457879C211yesmaximal, characteristic, complemented
11#21457877C211yesmaximal, characteristic, complemented
12#21457876C211yesmaximal, characteristic, complemented
13#21457795C211yesmaximal, characteristic, complemented
14#21457791C211yesmaximal, characteristic, complemented
15#21457729C211yesmaximal, characteristic, complemented
16#21457724C211yesmaximal, characteristic, complemented
17#21457723C211yesmaximal, characteristic, complemented
18#21456179C211yesmaximal, characteristic, complemented
19#21455805C211yesmaximal, characteristic, complemented
20#485×D61C211yesmaximal, characteristic, complemented
21#21455665C211yesmaximal, characteristic, complemented
22#21455490C211yesmaximal, characteristic, complemented
23#21455446C211yesmaximal, characteristic, complemented
24#21455366C211yesmaximal, characteristic, complemented
25#21455138C211yesmaximal, characteristic, complemented
26#21455040C211yesmaximal, characteristic, complemented
27#21454697C211yesmaximal, characteristic, complemented
28#21454539C211yesmaximal, characteristic, complemented
29#21454348C211yesmaximal, characteristic, complemented
30#21454334C211yesmaximal, characteristic, complemented
31C61×#3302C211yesmaximal, characteristic, complemented
32C2×#14519824C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519800C2211yescharacteristic
36C2×#14519798C2211yescharacteristic
37C2×#14519783C2211yescharacteristic, complemented
38C22×#11758189C2211yescharacteristic
39#16840484—21no—
40#16840483C2211yescharacteristic, complemented
41#16840478C2211yescharacteristic
42#16840475C2211yescharacteristic
43#16840474—21no—
44#16840463—21no—
45#16840458C2211yescharacteristic, complemented
46#16840456C2211yescharacteristic, complemented
47#16840454C2211yescharacteristic
48#16840453C2211yescharacteristic
49#16840448—21no—
50#16840427C2211yescharacteristic
51#16840425C2211yescharacteristic
52#16840422C2211yescharacteristic
53#16840421C2211yescharacteristic
54#16840413—21no—
55#16840411C2211yescharacteristic
56#16840410—21no—
57#16840407C2211yescharacteristic
58#16840404—21no—
59#16840401—21no—
60#16840400C2211yescharacteristic
61#16840389C2211yescharacteristic, complemented
62#16840351—21no—
63#16840346—21no—
64#16840342C2211yescharacteristic
65#16840342C2211yescharacteristic, complemented
66#16840339—21no—
67#16840337C2211yescharacteristic
68#16840334—21no—
69#16840299—21no—
70#16840295—21no—
71#16840275C2211yescharacteristic
72#16840271C2211yescharacteristic
73#16840270—21no—
74C2×#14519755—21no—
75C22⋊Q8×D61C2211yescharacteristic
76#16840244C2211yescharacteristic, complemented
77#16840242C2211yescharacteristic, complemented
78#16840241C2211yescharacteristic
79#117×D61C2211yescharacteristic
80#16840130C2211yescharacteristic, complemented
81#16840129C2211yescharacteristic, complemented
82#16840124C2211yescharacteristic, complemented
83#16840123C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840117C2211yescharacteristic, complemented
86#16840111C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic
88#16840105C2211yescharacteristic
89#16840104C2211yescharacteristic, complemented
90#16840103C2211yescharacteristic, complemented
91#16840102C2211yescharacteristic
92#16840101C2211yescharacteristic
93#16840101C2211yescharacteristic, complemented
94#16840100C2211yescharacteristic, complemented
95#16840091C2211yescharacteristic, complemented
96#16840090C2211yescharacteristic, complemented
97#16840089C2211yescharacteristic, complemented
98#16840086C2211yescharacteristic, complemented
99#16840082C2211yescharacteristic, complemented
100#16840081C2211yescharacteristic, complemented
101#16840070C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840064C2211yescharacteristic, complemented
104#16840062C2211yescharacteristic, complemented
105#16840056C2211yescharacteristic, complemented
106#16840054C2211yescharacteristic, complemented
107#16840040C2211yescharacteristic, complemented
108#16840019C2211yescharacteristic
109#16840017C2211yescharacteristic
110#16840011C2211yescharacteristic
111#16840011C2211yescharacteristic, complemented
112#16840011C2211yescharacteristic, complemented
113#16840010C2211yescharacteristic, complemented
114#16840010C2211yescharacteristic, complemented
115#16840009C2211yescharacteristic
116#16840001C2211yescharacteristic, complemented
117#16840000C2211yescharacteristic, complemented
118#16839999C2211yescharacteristic, complemented
119#16839998C2211yescharacteristic, complemented
120#16839993C2211yescharacteristic, complemented
121#16839991C2211yescharacteristic, complemented
122#16839986C2211yescharacteristic, complemented
123#16839984C2211yescharacteristic, complemented
124#16839980C2211yescharacteristic, complemented
125#16839978C2211yescharacteristic, complemented
126#16839970C2211yescharacteristic, complemented
127#16839966C2211yescharacteristic, complemented
128#16839964C2211yescharacteristic, complemented
129#16839922C2211yescharacteristic
130#16839921C2211yescharacteristic, complemented
131#16839917C2211yescharacteristic, complemented
132#16839916C2211yescharacteristic
133#16839916C2211yescharacteristic, complemented
134#16839911C2211yescharacteristic
135#16839909C2211yescharacteristic
136#16839908C2211yescharacteristic, complemented
137#16839907C2211yescharacteristic
138#16839907C2211yescharacteristic, complemented
139#16839903C2211yescharacteristic, complemented
140#16839902C2211yescharacteristic
141#16839902C2211yescharacteristic, complemented
142#16839897C2211yescharacteristic
143#16839872C2211yescharacteristic, complemented
144#16839871C2211yescharacteristic, complemented
145#16839867C2211yescharacteristic, complemented
146#16839866C2211yescharacteristic, complemented
147C4×#11758190C2211yescharacteristic, complemented
148SD16×Dic61C2211yescharacteristic, complemented
149#16839849C2211yescharacteristic, complemented
150#16839841C2211yescharacteristic
151#16839837C2211yescharacteristic
152#16839834C2211yescharacteristic, complemented
153#16839833C2211yescharacteristic
154#16839833C2211yescharacteristic, complemented
155#16839832C2211yescharacteristic
156#16839825C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic, complemented
158#107×D61C2211yescharacteristic, complemented
159#106×D61C2211yescharacteristic, complemented
160#16839787C2211yescharacteristic, complemented
161#16839770C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic
163#16839769C2211yescharacteristic
164#16839769C2211yescharacteristic, complemented
165#16839769C2211yescharacteristic, complemented
166#16839765C2211yescharacteristic
167#16839765C2211yescharacteristic
168#16839763C2211yescharacteristic, complemented
169#16839762C2211yescharacteristic
170#16839762C2211yescharacteristic
171#16839762C2211yescharacteristic, complemented
172#16839760C2211yescharacteristic
173#16839760C2211yescharacteristic
174#16839760C2211yescharacteristic, complemented
175#16839759C2211yescharacteristic
176#16839758C2211yescharacteristic
177#16839757C2211yescharacteristic
178#16839756C2211yescharacteristic
179#16839755C2211yescharacteristic
180#16839755C2211yescharacteristic, complemented
181C2×#14519702C2211yescharacteristic, complemented
182#103×D61C2211yescharacteristic, complemented
183#103×D61C2211yescharacteristic, complemented
184#103×D61C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186C22⋊C8×D61C2211yescharacteristic
187#16839716C2211yescharacteristic, complemented
188C61×#556C2211yescharacteristic, complemented
189C61×#547C2211yescharacteristic
190C61×#487C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#485C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic, complemented
195C61×#467C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic
198C61×#452C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic, complemented
200C8×D4×C61C2211yescharacteristic, complemented
201C61×#416C2211yescharacteristic
202C61×#416C2211yescharacteristic, complemented
203#14519824—24no—
204#14519824—42no—
205C2×#11758226C2311yescharacteristic
206C2×#11758226C2311yescharacteristic
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224—21no—
214C2×#11758224C2311yescharacteristic
215C2×#11758224C2311yescharacteristic
216#41×D61—24no—
217#41×D61—42no—
218C22×Dic122—21no—
219C22×Dic122C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C2×Q8×D61C2311yescharacteristic
222C2×Q8×D61C2311yescharacteristic
223C2×D4×D61—21no—
224C2×D4×D61C2311yescharacteristic
225C22×C4×D61—21no—
226C22×C4×D61C2311yescharacteristic
227#14519809—42no—
228#14519800—42no—
229#14519798—24no—
230C2×#11758202C2311yescharacteristic
231C2×#11758202C2311yescharacteristic
232C2×#11758190C2311yescharacteristic
233C2×#11758190C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235C2×#11758201C2311yescharacteristic
236C2×#11758201C2311yescharacteristic
237C2×D488C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239#14519783—42no—
240C2×#11758194C2311yescharacteristic
241C2×#11758189—42no—
242C2×#11758189C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C2×#11758189C2311yescharacteristic
247C22×#92418C2311yescharacteristic
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251#14519776—21no—
252#14519776—21no—
253#14519776C2311yescharacteristic
254#14519775—21no—
255#14519775C2311yescharacteristic
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519771—21no—
260#14519771—21no—
261#14519770—21no—
262#14519769C2311yescharacteristic
263#14519768—21no—
264#14519768C2311yescharacteristic
265#14519767—21no—
266#14519767—21no—
267#14519766—21no—
268#14519766—21no—
269#14519766C2311yescharacteristic
270#14519765—21no—
271#14519765C2311yescharacteristic
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519762—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762D411yescharacteristic
281#14519761—21no—
282#14519761—21no—
283#14519760—21no—
284#14519760—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759D411yescharacteristic
288#14519758—21no—
289#14519757C2311yescharacteristic
290#14519756C2311yescharacteristic
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755D411yescharacteristic
303#14519754—21no—
304#14519754—21no—
305#14519754D411yescharacteristic
306#14519753—21no—
307#14519753C2311yescharacteristic
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519753C2311yescharacteristic
311#14519752—21no—
312#14519752—21no—
313#14519752—21no—
314#14519752C2311yescharacteristic
315#14519752C2311yescharacteristic
316#14519752C2311yescharacteristic
317#14519751—21no—
318#14519751C2311yescharacteristic
319#14519751C2311yescharacteristic
320#14519751C2311yescharacteristic
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750D411yescharacteristic
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519749D411yescharacteristic
334#14519747—21no—
335#14519747—21no—
336#14519747D411yescharacteristic
337#14519745—21no—
338#14519745D411yescharacteristic
339Q8×Dic61C2311yescharacteristic
340C4×Dic122—21no—
341C4×Dic122C2311yescharacteristic
342#14519742—21no—
343#14519742C2311yescharacteristic
344C4×D244—21no—
345C4×D244—21no—
346C4×D244—21no—
347C4×D244C2311yescharacteristic
348C4×D244C2311yescharacteristic
349D4×Dic61C2311yescharacteristic
350#14519739—21no—
351#14519739—21no—
352#14519739—21no—
353#14519739—21no—
354#14519739C2311yescharacteristic
355C4×C22⋊D61—21no—
356C4×C22⋊D61C2311yescharacteristic
357C4×C22⋊D61C2311yescharacteristic
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519736C2311yescharacteristic
366#14519735—21no—
367#14519735C2311yescharacteristic
368#14519735C2311yescharacteristic
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519734—21no—
372#14519734—21no—
373#14519734—21no—
374#14519734—21no—
375#14519734C2311yescharacteristic
376#14519733—21no—
377#14519733—21no—
378#14519733—21no—
379C2×C4⋊Dic61C2311yescharacteristic
380C2×#11758196—21no—
381C2×#11758196—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61C2311yescharacteristic
385C4⋊C4×D61C2311yescharacteristic
386C4⋊C4×D61C2311yescharacteristic
387C4⋊C4×D61C2311yescharacteristic
388C2×#11758198—21no—
389C2×#11758198—21no—
390C22⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C42×D61—21no—
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C22×C8×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452C4⋊Q8×C61C2311yescharacteristic
453#126×C61—21no—
454#126×C61—21no—
455#124×C61—21no—
456#123×C61—21no—
457#123×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463C4×Q8×C61—21no—
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#117×C61C2311yescharacteristic
469C2×C4⋊C4×C61—21no—
470#107×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486C4×C8×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61C2×D411yescharacteristic
489#41×C61—22no—
490#41×C61—22no—
491#41×C61—41no—
492#41×C61—41no—
493C2×Q8×C61—21no—
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61C2×D411yescharacteristic
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⋊D61C2×D411yescharacteristic
514C2×C22⋊D61C2×D411yescharacteristic
515C2×C22⋊D61C2×D411yescharacteristic
516C2×C22⋊D61C2×D411yescharacteristic
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61C2×D411yescharacteristic
523#11758226—22no—
524#11758226—22no—
525#11758226—22no—
526#11758226—22no—
527Q8×D61—22no—
528Q8×D61—22no—
529Q8×D61—22no—
530Q8×D61—22no—
531Q8×D61—41no—
532Q8×D61—41no—
533#11758224—22no—
534#11758224—22no—
535#11758224—41no—
536#11758224—44no—
537#11758224—44no—
538#11758224—44no—
539#11758224#4114yes—
540D4×D61—22no—
541D4×D61—41no—
542D4×D61—44no—
543#11758222—22no—
544#11758222—22no—
545#11758222—22no—
546#11758222—41no—
547#11758222—44no—
548#11758222—44no—
549C2×D244—21no—
550C2×D244—21no—
551C2×D244—21no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244C2×D411yescharacteristic
555C2×D244C2×D411yescharacteristic
556C2×D244C2411yescharacteristic
557C2×D244C2411yescharacteristic
558C2×C4×D61—22no—
559C2×C4×D61—22no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—21no—
568C2×C4×D61—21no—
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61—21no—
572C2×C4×D61—44no—
573C2×C4×D61C2×D411yescharacteristic
574C2×C4×D61C2×D411yescharacteristic
575C2×C4×D61C2411yescharacteristic
576C2×C4×D61C2411yescharacteristic
577C2×C4×D61C2411yescharacteristic
578C2×Dic122—22no—
579C2×Dic122—21no—
580C2×Dic122—21no—
581C2×Dic122—21no—
582C2×Dic122—21no—
583C2×Dic122—21no—
584C2×Dic122—41no—
585C2×Dic122—44no—
586C2×Dic122C2×D411yescharacteristic
587C2×Dic122C2411yescharacteristic
588C2×Dic122C2411yescharacteristic
589Q16×C61—41no—
590Q16×C61—41no—
591SD16×C61—22no—
592C2×C8×C61—41no—
593C2×C8×C61—41no—
594C2×C8×C61C2411yescharacteristic
595C2×C8×C61C2411yescharacteristic
596C2×C8×C61C2411yescharacteristic
597C2×C8×C61C2411yescharacteristic
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61C2×D411yescharacteristic
607C4⋊C4×C61C2411yescharacteristic
608C4⋊C4×C61C2411yescharacteristic
609C4⋊C4×C61C2411yescharacteristic
610C4⋊C4×C61C2411yescharacteristic
611C22⋊C4×C61—21no—
612C22⋊C4×C61—21no—
613C22⋊C4×C61—21no—
614C22⋊C4×C61—21no—
615C22⋊C4×C61—21no—
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61C2×D411yescharacteristic
619C22⋊C4×C61C2×D411yescharacteristic
620C42×C61—21no—
621C42×C61—21no—
622C42×C61—21no—
623C42×C61C2411yescharacteristic
624C22⋊Dic61—21no—
625C22⋊Dic61—21no—
626C22⋊Dic61—21no—
627C22⋊Dic61C2×D411yescharacteristic
628C22⋊Dic61C2×D411yescharacteristic
629#11758202—22no—
630#11758202—41no—
631#11758201—41no—
632#11758201—41no—
633#11758201—41no—
634#11758199—22no—
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#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198C2×D411yescharacteristic
657#11758198C2×D411yescharacteristic
658#11758198C2×D411yescharacteristic
659#11758198C2×D411yescharacteristic
660#11758198C2×D411yescharacteristic
661#11758198C2×D411yescharacteristic
662C4⋊Dic61—21no—
663C4⋊Dic61—21no—
664C4⋊Dic61—21no—
665C4⋊Dic61—21no—
666C4⋊Dic61C2×D411yescharacteristic
667C4⋊Dic61C2411yescharacteristic
668C4⋊Dic61C2411yescharacteristic
669C4⋊Dic61C2411yescharacteristic
670C4⋊Dic61C2411yescharacteristic
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196C2×D411yescharacteristic
689#11758196C2×D411yescharacteristic
690#11758196C2×D411yescharacteristic
691#11758196C2×D411yescharacteristic
692C4×Dic61—21no—
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61C2411yescharacteristic
701#11758194—41no—
702C2×#92418—41no—
703C2×#92418C2411yescharacteristic
704C2×#92418C2411yescharacteristic
705C2×#92418C2411yescharacteristic
706C2×#92418C2411yescharacteristic
707D488—41no—
708#11758190—22no—
709#11758190—41no—
710#11758189—22no—
711#11758189—22no—
712#11758189—41no—
713#11758189—41no—
714#11758189—41no—
715C8×D61—22no—
716C8×D61—22no—
717C8×D61—41no—
718C23×C61—21no—
719C23×C61C22×D411yescharacteristic
720C23×C61C22×D411yescharacteristic
721C22×D61—22no—
722C22×D61—21no—
723C22×D61—21no—
724C22×D61—41no—
725C22×D61—41no—
726C22×D61—42no—
727C22×D61—42no—
728C22×D61—81no—
729C22×D61C22×D411yescharacteristic
730C22×D61C22×D411yescharacteristic
731C22×D61C22×D411yescharacteristic
732Q8×C61—21no—
733Q8×C61—21no—
734Q8×C61—21no—
735Q8×C61—21no—
736Q8×C61—21no—
737Q8×C61—21no—
738Q8×C61—81no—
739D4×C61—21no—
740D4×C61—41no—
741D4×C61—42no—
742D4×C61—42no—
743D4×C61C2×#4112yes—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—42no—
756C2×C4×C61—42no—
757C2×C4×C61—81no—
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C22×D411yescharacteristic
760C2×C4×C61C22×D411yescharacteristic
761C2×C4×C61C22×D411yescharacteristic
762C2×C4×C61C2511yescharacteristic
763C22⋊D61—22no—
764C22⋊D61—24no—
765C22⋊D61—22no—
766C22⋊D61—41no—
767C22⋊D61—41no—
768C22⋊D61—42no—
769C22⋊D61—42no—
770C22⋊D61—42no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C22⋊D61—81no—
774C2×Dic61—21no—
775C2×Dic61—24no—
776C2×Dic61—22no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—42no—
783C2×Dic61—42no—
784C2×Dic61—81no—
785C2×Dic61—81no—
786C2×Dic61C22×D411yescharacteristic
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791D244—22no—
792D244—21no—
793D244—21no—
794D244—21no—
795D244—21no—
796D244—41no—
797D244—42no—
798D244—42no—
799D244—81no—
800D244—81no—
801D244—81no—
802C4×D61—22no—
803C4×D61—21no—
804C4×D61—21no—
805C4×D61—21no—
806C4×D61—21no—
807C4×D61—22no—
808C4×D61—42no—
809C4×D61—42no—
810C4×D61—42no—
811C4×D61—42no—
812C4×D61—42no—
813C4×D61—42no—
814C4×D61—81no—
815C4×D61—81no—
816C4×D61—81no—
817C4×D61—81no—
818C4×D61—81no—
819C4×D61—81no—
820C4×D61C2×#4112yes—
821C4×D61H(5,𝔽2)12yes—
822Dic122—21no—
823Dic122—22no—
824Dic122—21no—
825Dic122—21no—
826Dic122—42no—
827Dic122—42no—
828Dic122—42no—
829Dic122—42no—
830Dic122—81no—
831Dic122C2×#4112yes—
832C8×C61—21no—
833C8×C61—21no—
834C8×C61—21no—
835C8×C61—21no—
836#92418—21no—
837#92418—21no—
838#92418—21no—
839#92418—21no—
840#61197—611nomaximal, Sylow
841C22×C61—21no—
842C22×C61—21no—
843C22×C61—21no—
844C22×C61—21no—
845C22×C61—22no—
846C22×C61—21no—
847C22×C61—21no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61C23×D411yescharacteristic
851C2×D61—21no—
852C2×D61—21no—
853C2×D61—21no—
854C2×D61—21no—
855C2×D61—21no—
856C2×D61—21no—
857C2×D61—21no—
858C2×D61—21no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—82no—
866C2×D61—84no—
867C2×D61#54612yes—
868C4×C61—21no—
869C4×C61—21no—
870C4×C61—21no—
871C4×C61—21no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61—41no—
879C4×C61C22×#4111yescharacteristic
880C4×C61C2×H(5,𝔽2)11yescharacteristic
881Dic61—21no—
882Dic61—21no—
883Dic61—21no—
884Dic61—22no—
885Dic61—21no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891Dic61#54612yes—
892#3493—611no—
893#3489—611no—
894#3329—611no—
895#3329—611no—
896#3323—611no—
897#3323—611no—
898#3319—611no—
899#3319—611no—
900#3313—611no—
901#3313—611no—
902#3312—611no—
903#3312—611no—
904#3307—611no—
905#3307—611no—
906#3302—611no—
907#3302D6111yescharacteristic, complemented
908#3301—611no—
909#3301—611no—
910#3137—611no—
911#3099—611no—
912C2×#485—611no—
913#3083—611no—
914#3061—611no—
915#3056—611no—
916#3046—611no—
917#3013—611no—
918#3002—611no—
919#2952—611no—
920#2933—611no—
921#2898—611no—
922#2896—611no—
923C2×C61—41no—
924C2×C61—42no—
925C2×C61—41no—
926C2×C61C2×#54611yescharacteristic
927C2×C61#358411yescharacteristic
928C2×C61#358611yescharacteristic
929D61—22no—
930D61—41no—
931D61—41no—
932D61—81no—
933D61—81no—
934C2×2−1+4—611no—
935C22×#41—611no—
936C2×#137—611no—
937C2×#135—611no—
938C2×#135—611no—
939C2×#131—611no—
940C22×M16—611no—
941#556—611no—
942#556—1221no—
943#556C2×D6111yescharacteristic, complemented
944#555—611no—
945#555—611no—
946#555—1221no—
947#553—611no—
948#553—611no—
949#553—1221no—
950#552—611no—
951#552—611no—
952#552—1221no—
953D4×Q8—611no—
954D4×Q8—611no—
955#548—611no—
956#548—611no—
957#547—611no—
958#547—1221no—
959#547—1221no—
960#547C2×D6111yescharacteristic
961#546—611no—
962#546—611no—
963#546—1221no—
964#546—1221no—
965#544—611no—
966#538—1221no—
967#538—1221no—
968#537—611no—
969#537—611no—
970#537—1221no—
971#536—611no—
972#536—1221no—
973#529—1221no—
974#529—1221no—
975#525—611no—
976#525—611no—
977#525—1221no—
978C2×C22⋊Q8—611no—
979C2×C22⋊Q8—1221no—
980#520—611no—
981#520—611no—
982#520—611no—
983C2×#117—611no—
984#491—611no—
985#491—611no—
986#489—611no—
987#489—611no—
988#488—611no—
989#488—611no—
990#487—611no—
991#487C2×D6111yescharacteristic, complemented
992#485—611no—
993#485—611no—
994#485—611no—
995#485—611no—
996#485—611no—
997#485—611no—
998#485—611no—
999#485—611no—
1000#485C2×D6111yescharacteristic, complemented
1001#485C2×D6111yescharacteristic, complemented
1002#483—611no—
1003#483—611no—
1004#482—611no—
1005#482—611no—
1006#481—611no—
1007#481—611no—
1008#479—611no—
1009#479—611no—
1010#478—611no—
1011#478—611no—
1012#477—611no—
1013#477—611no—
1014#474—611no—
1015#474C2×D6111yescharacteristic, complemented
1016#470—611no—
1017#470—611no—
1018#468—611no—
1019#468—611no—
1020#468—611no—
1021#468—611no—
1022#468—611no—
1023#468—611no—
1024#467—611no—
1025#467—611no—
1026#467C2×D6111yescharacteristic, complemented
1027#467C2×D6111yescharacteristic, complemented
1028#466—611no—
1029#466—611no—
1030#465—611no—
1031#465—611no—
1032#464—611no—
1033#464—611no—
1034#463—611no—
1035#463—611no—
1036#462—611no—
1037#462C2×D6111yescharacteristic, complemented
1038#461—611no—
1039#461—611no—
1040#452—611no—
1041#452—611no—
1042#452C2×D6111yescharacteristic
1043#452C2×D6111yescharacteristic, complemented
1044#451—611no—
1045#451—611no—
1046#451—611no—
1047#450—611no—
1048#449—611no—
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#448—611no—
1053#448—611no—
1054#448—611no—
1055#447—611no—
1056#442—611no—
1057#442—611no—
1058#441—611no—
1059#441—611no—
1060C4×SD16—611no—
1061C4×SD16—611no—
1062C4×SD16—611no—
1063C4×SD16C2×D6111yescharacteristic, complemented
1064#436—611no—
1065#436—611no—
1066#435—611no—
1067#435—611no—
1068#435—611no—
1069#435—611no—
1070C8×D4—611no—
1071C8×D4C2×D6111yescharacteristic, complemented
1072#428—611no—
1073C2×#107—611no—
1074C2×#106—611no—
1075#424—611no—
1076#419—611no—
1077#419—611no—
1078#419—611no—
1079#419—611no—
1080#419—611no—
1081#418—611no—
1082#418—611no—
1083#417—611no—
1084#417—611no—
1085#417—611no—
1086#417—611no—
1087#417—611no—
1088#417—611no—
1089#417—611no—
1090#416—611no—
1091#416—611no—
1092#416—611no—
1093#416—611no—
1094#416—611no—
1095#416—611no—
1096#416C2×D6111yescharacteristic
1097#416C2×D6111yescharacteristic, complemented
1098C2×#103—611no—
1099C2×#103—611no—
1100C2×#103—611no—
1101C2×#103—611no—
1102#408—611no—
1103C2×C22⋊C8—611no—
1104#405—611no—
1105C61#6119711yescharacteristic, complemented, Sylow
11062−1+4—1224no—
11072−1+4—2442no—
1108C2×#41—611no—
1109C2×#41—611no—
1110C2×#41—611no—
1111C2×#41—611no—
1112C2×#41—611no—
1113C2×#41—611no—
1114C2×#41—1221no—
1115C2×#41—1221no—
1116C2×#41—1221no—
1117C2×#41—1221no—
1118C2×#41—1221no—
1119C2×#41—1224no—
1120C2×#41—2442no—
1121C2×#41C22×D6111yescharacteristic
1122C2×#41C22×D6111yescharacteristic
1123C22×Q8—611no—
1124C22×Q8—611no—
1125C22×Q8—611no—
1126C22×Q8—611no—
1127C22×Q8—1221no—
1128C22×D4—611no—
1129C22×D4—1221no—
1130C23×C4—611no—
1131C23×C4—1221no—
1132#137—2442no—
1133#135—1224no—
1134#135—2442no—
1135C2×Q16—611no—
1136C2×Q16—611no—
1137C2×Q16C22×D6111yescharacteristic
1138C2×Q16C22×D6111yescharacteristic
1139C2×SD16—611no—
1140C2×SD16—611no—
1141C2×SD16—611no—
1142C2×SD16—611no—
1143C2×SD16—611no—
1144C2×SD16C22×D6111yescharacteristic
1145C2×D8—611no—
1146C2×D8—611no—
1147#131—2442no—
1148C2×M16—611no—
1149C2×M16—611no—
1150C2×M16—611no—
1151C2×M16—611no—
1152C2×M16—611no—
1153C2×M16—611no—
1154C2×M16—2442no—
1155C22×C8—611no—
1156C22×C8—611no—
1157C22×C8—611no—
1158C22×C8—611no—
1159C22×C8C22×D6111yescharacteristic
1160C22×C8C22×D6111yescharacteristic
1161C4⋊Q8—611no—
1162C4⋊Q8—611no—
1163C4⋊Q8—1221no—
1164C4⋊Q8—1221no—
1165C4⋊Q8—1221no—
1166C4⋊Q8C22×D6111yescharacteristic
1167C4⋊Q8C22×D6111yescharacteristic
1168#126—21no—
1169#126—21no—
1170#126—1221no—
1171#126—1221no—
1172#126—1221no—
1173#126—1221no—
1174#126—1221no—
1175#126—1221no—
1176#125—611no—
1177#125—611no—
1178#125—1221no—
1179#125—1221no—
1180#125—1221no—
1181#124—21no—
1182#124—611no—
1183#124—611no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#124—1221no—
1190#124—1221no—
1191#123—21no—
1192#123—21no—
1193#123—611no—
1194#123—611no—
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—
1205#123—1221no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
1210C22⋊Q8—611no—
1211C22⋊Q8—611no—
1212C22⋊Q8—611no—
1213C22⋊Q8—611no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221C22⋊Q8—1221no—
1222C22⋊Q8—1221no—
1223C22⋊Q8—1221no—
1224C22⋊Q8—1221no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8C22×D6111yescharacteristic
1229C22⋊Q8C22×D6111yescharacteristic
1230C22⋊Q8C22×D6111yescharacteristic
1231C22⋊Q8C22×D6111yescharacteristic
1232#121—21no—
1233#121—611no—
1234#121—611no—
1235#121—611no—
1236#121—611no—
1237#121—611no—
1238#121—611no—
1239#121—611no—
1240#121—611no—
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#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#121—1221no—
1255#121—1221no—
1256#120—611no—
1257#120—611no—
1258#120—1221no—
1259#120—1221no—
1260#120—1221no—
1261C4×Q8—21no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—611no—
1265C4×Q8—1221no—
1266C4×Q8—1221no—
1267C4×Q8C22×D6111yescharacteristic
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1290C4×D4C22×D6111yescharacteristic
1291#117—611no—
1292#117—611no—
1293#117—611no—
1294#117—611no—
1295#117—611no—
1296#117—611no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117C22×D6111yescharacteristic
1306#117C22×D6111yescharacteristic
1307C2×C4⋊C4—21no—
1308C2×C4⋊C4—611no—
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—611no—
1311C2×C4⋊C4—611no—
1312C2×C4⋊C4—611no—
1313C2×C4⋊C4—1221no—
1314C2×C4⋊C4—1221no—
1315C2×C4⋊C4—1221no—
1316C2×C4⋊C4—1221no—
1317C2×C22⋊C4—1221no—
1318C2×C22⋊C4—1221no—
1319C2×C22⋊C4—1221no—
1320C2×C22⋊C4—1221no—
1321C2×C42—1221no—
1322#107—611no—
1323#107—611no—
1324#107—611no—
1325#107—611no—
1326#107C22×D6111yescharacteristic
1327#107C22×D6111yescharacteristic
1328#106—611no—
1329#106—611no—
1330#106—611no—
1331#106—611no—
1332#106—611no—
1333#106C22×D6111yescharacteristic
1334C4⋊C8—611no—
1335C4⋊C8—611no—
1336C4⋊C8—611no—
1337C4⋊C8C22×D6111yescharacteristic
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103—611no—
1354#103—611no—
1355#103—611no—
1356#103—611no—
1357#103C22×D6111yescharacteristic
1358#103C22×D6111yescharacteristic
1359#103C22×D6111yescharacteristic
1360#103C22×D6111yescharacteristic
1361#103C22×D6111yescharacteristic
1362#103C22×D6111yescharacteristic
1363#103C22×D6111yescharacteristic
1364#102—611no—
1365#102—611no—
1366#102—611no—
1367#102—611no—
1368#102—611no—
1369#102—611no—
1370#102—611no—
1371#102—611no—
1372#102—611no—
1373#102—611no—
1374#102—611no—
1375#102C22×D6111yescharacteristic
1376#102C22×D6111yescharacteristic
1377#102C22×D6111yescharacteristic
1378C22⋊C8—611no—
1379C22⋊C8—611no—
1380C22⋊C8—611no—
1381C22⋊C8—611no—
1382C22⋊C8—611no—
1383C22⋊C8—611no—
1384C22⋊C8C22×D6111yescharacteristic
1385C22⋊C8C22×D6111yescharacteristic
1386#97—611no—
1387#97—611no—
1388C4×C8—611no—
1389C4×C8C22×D6111yescharacteristic
1390C24—611no—
1391C24—1221no—
1392#41—22no—
1393#41—22no—
1394#41—41no—
1395#41—41no—
1396#41—614no—
1397#41—1222no—
1398#41—1222no—
1399#41—1222no—
1400#41—1222no—
1401#41—1222no—
1402#41—1222no—
1403#41—1222no—
1404#41—1222no—
1405#41—1222no—
1406#41—2441no—
1407#41—2444no—
1408#41—2444no—
1409#41—2444no—
1410#41—2441no—
1411#41—2444no—
1412#41—2444no—
1413C2×Q8—21no—
1414C2×Q8—611no—
1415C2×Q8—611no—
1416C2×Q8—611no—
1417C2×Q8—1221no—
1418C2×Q8—1221no—
1419C2×Q8—1221no—
1420C2×Q8—1221no—
1421C2×Q8—1222no—
1422C2×Q8—1222no—
1423C2×Q8—1222no—
1424C2×Q8—1221no—
1425C2×Q8—1222no—
1426C2×Q8—1222no—
1427C2×Q8—2441no—
1428C2×Q8—2444no—
1429C2×Q8—2441no—
1430C2×Q8—2441no—
1431C2×Q8C23×D6111yescharacteristic
1432C2×Q8C23×D6111yescharacteristic
1433C2×Q8C23×D6111yescharacteristic
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—611no—
1437C2×D4—611no—
1438C2×D4—611no—
1439C2×D4—611no—
1440C2×D4—611no—
1441C2×D4—611no—
1442C2×D4—611no—
1443C2×D4—611no—
1444C2×D4—1221no—
1445C2×D4—1221no—
1446C2×D4—1221no—
1447C2×D4—1221no—
1448C2×D4—1221no—
1449C2×D4—1221no—
1450C2×D4—1221no—
1451C2×D4—1222no—
1452C2×D4—1221no—
1453C2×D4—1221no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—1221no—
1457C2×D4—2441no—
1458C2×D4—2444no—
1459C2×D4D4×D6111yescharacteristic
1460C2×D4C23×D6111yescharacteristic
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—611no—
1465C22×C4—611no—
1466C22×C4—611no—
1467C22×C4—611no—
1468C22×C4—611no—
1469C22×C4—611no—
1470C22×C4—1222no—
1471C22×C4—1222no—
1472C22×C4—1221no—
1473C22×C4—1221no—
1474C22×C4—1221no—
1475C22×C4—1221no—
1476C22×C4—1221no—
1477C22×C4—1221no—
1478C22×C4—1221no—
1479C22×C4—1221no—
1480C22×C4—1221no—
1481C22×C4—1221no—
1482C22×C4—1221no—
1483C22×C4—1221no—
1484C22×C4—1221no—
1485C22×C4—1221no—
1486C22×C4—1221no—
1487C22×C4—1221no—
1488C22×C4—1221no—
1489C22×C4—2444no—
1490C22×C4C23×D6111yescharacteristic
1491C22×C4C23×D6111yescharacteristic
1492Q16—41no—
1493Q16—41no—
1494Q16—1222no—
1495Q16—2441no—
1496SD16—22no—
1497SD16—1222no—
1498SD16—2441no—
1499SD16—2441no—
1500SD16—2441no—
1501SD16—2441no—
1502D8—1222no—
1503D8—2441no—
1504M16—1222no—
1505M16—1222no—
1506M16—2441no—
1507M16—2441no—
1508M16—2441no—
1509M16—2441no—
1510C2×C8—41no—
1511C2×C8—41no—
1512C2×C8—611no—
1513C2×C8—611no—
1514C2×C8—611no—
1515C2×C8—611no—
1516C2×C8—1222no—
1517C2×C8—1222no—
1518C2×C8—2441no—
1519C2×C8—2441no—
1520C2×C8C23×D6111yescharacteristic
1521C2×C8C23×D6111yescharacteristic
1522C2×C8C23×D6111yescharacteristic
1523C2×C8C23×D6111yescharacteristic
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—611no—
1533C4⋊C4—611no—
1534C4⋊C4—611no—
1535C4⋊C4—611no—
1536C4⋊C4—611no—
1537C4⋊C4—611no—
1538C4⋊C4—611no—
1539C4⋊C4—611no—
1540C4⋊C4—611no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4—1221no—
1548C4⋊C4—1221no—
1549C4⋊C4—1221no—
1550C4⋊C4—1221no—
1551C4⋊C4—1221no—
1552C4⋊C4—1221no—
1553C4⋊C4—1221no—
1554C4⋊C4—1221no—
1555C4⋊C4—1221no—
1556C4⋊C4—1221no—
1557C4⋊C4—1221no—
1558C4⋊C4—1221no—
1559C4⋊C4—1221no—
1560C4⋊C4—1221no—
1561C4⋊C4—1221no—
1562C4⋊C4D4×D6111yescharacteristic
1563C4⋊C4C23×D6111yescharacteristic
1564C4⋊C4C23×D6111yescharacteristic
1565C4⋊C4C23×D6111yescharacteristic
1566C4⋊C4C23×D6111yescharacteristic
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—611no—
1575C22⋊C4—611no—
1576C22⋊C4—611no—
1577C22⋊C4—611no—
1578C22⋊C4—611no—
1579C22⋊C4—611no—
1580C22⋊C4—611no—
1581C22⋊C4—611no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4—1221no—
1592C22⋊C4—1221no—
1593C22⋊C4—1221no—
1594C22⋊C4—1221no—
1595C22⋊C4—1221no—
1596C22⋊C4—1221no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4D4×D6111yescharacteristic
1607C22⋊C4D4×D6111yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—21no—
1611C42—611no—
1612C42—1221no—
1613C42—1221no—
1614C42—1221no—
1615C42—1221no—
1616C42—1221no—
1617C42—1221no—
1618C42—1221no—
1619C42—1221no—
1620C42C23×D6111yescharacteristic
1621C23—21no—
1622C23—611no—
1623C23—611no—
1624C23—611no—
1625C23—1222no—
1626C23—1221no—
1627C23—1221no—
1628C23—4881no—
1629C23—2441no—
1630C23—2441no—
1631C23—2442no—
1632C23—2442no—
1633C23C2×D4×D6111yescharacteristic
1634C23C2×D4×D6111yescharacteristic
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—21no—
1640Q8—21no—
1641Q8—81no—
1642Q8—612no—
1643Q8—1222no—
1644Q8—1221no—
1645Q8—1221no—
1646Q8—1221no—
1647Q8—4881no—
1648Q8—2442no—
1649Q8—2442no—
1650Q8—2442no—
1651Q8—2442no—
1652D4—21no—
1653D4—41no—
1654D4—42no—
1655D4—42no—
1656D4—1222no—
1657D4—1222no—
1658D4—1222no—
1659D4—1224no—
1660D4—1221no—
1661D4—1221no—
1662D4—1221no—
1663D4—1221no—
1664D4—4881no—
1665D4—4881no—
1666D4—4881no—
1667D4—4881no—
1668D4—4881no—
1669D4—4881no—
1670D4—2441no—
1671D4—2442no—
1672D4—2442no—
1673D4—2441no—
1674D4—2441no—
1675D4—2442no—
1676D4—2442no—
1677D4—2442no—
1678D4#41×D6112yes—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—42no—
1691C2×C4—42no—
1692C2×C4—81no—
1693C2×C4—611no—
1694C2×C4—612no—
1695C2×C4—612no—
1696C2×C4—611no—
1697C2×C4—611no—
1698C2×C4—611no—
1699C2×C4—611no—
1700C2×C4—1222no—
1701C2×C4—1222no—
1702C2×C4—1222no—
1703C2×C4—1224no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—1221no—
1708C2×C4—1221no—
1709C2×C4—1221no—
1710C2×C4—1221no—
1711C2×C4—1221no—
1712C2×C4—1221no—
1713C2×C4—1221no—
1714C2×C4—4881no—
1715C2×C4—4881no—
1716C2×C4—4881no—
1717C2×C4—4881no—
1718C2×C4—4881no—
1719C2×C4—4881no—
1720C2×C4—4881no—
1721C2×C4—4881no—
1722C2×C4—2442no—
1723C2×C4—2442no—
1724C2×C4—2442no—
1725C2×C4—2442no—
1726C2×C4—2442no—
1727C2×C4—2442no—
1728C2×C4—2442no—
1729C2×C4—2442no—
1730C2×C4C2×D4×D6111yescharacteristic
1731C2×C4C2×D4×D6111yescharacteristic
1732C2×C4C2×D4×D6111yescharacteristic
1733C2×C4C2×D4×D6111yescharacteristic
1734C2×C4C24×D6111yescharacteristic
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C8—21no—
1739C8—1221no—
1740C8—1221no—
1741C8—1221no—
1742C8—1221no—
1743C22—21no—
1744C22—21no—
1745C22—22no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—21no—
1750C22—41no—
1751C22—41no—
1752C22—612no—
1753C22—1221no—
1754C22—1221no—
1755C22—1221no—
1756C22—1221no—
1757C22—1221no—
1758C22—1221no—
1759C22—1221no—
1760C22—1221no—
1761C22—4882no—
1762C22—4884no—
1763C22—2441no—
1764C22—2441no—
1765C22—2441no—
1766C22—2441no—
1767C22—2441no—
1768C22—2441no—
1769C22C22×D4×D6111yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—612no—
1782C4—1221no—
1783C4—1221no—
1784C4—1222no—
1785C4—1221no—
1786C4—1221no—
1787C4—2441no—
1788C4—2441no—
1789C4—2441no—
1790C4—2441no—
1791C4—2441no—
1792C4C2×#41×D6111yescharacteristic
1793C4H(5,𝔽2)×D6111yescharacteristic
1794C2—41no—
1795C2—41no—
1796C2—42no—
1797C2—1222no—
1798C2—4881no—
1799C2—4881no—
1800C2—2441no—
1801C2—2441no—
1802C2#546×D6111yescharacteristic
1803C2#2146058811yescharacteristic
1804C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3302C2
socleC22×C61C23×D4
hypercenter#3302D61
hypocenterC61#61197
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. #21459533C2semidirect
2. #21459493C2semidirect
3. #21458112C2semidirect
4. #21458111C2semidirect
5. #21458040C2semidirect
6. #21458028C2semidirect
7. #21457972C2semidirect
8. #21457971C2semidirect
9. #21457891C2semidirect
10. #21457879C2semidirect
11. #21457877C2semidirect
12. #21457876C2semidirect
13. #21457795C2semidirect
14. #21457791C2semidirect
15. #21457729C2semidirect
16. #21457724C2semidirect
17. #21457723C2semidirect
18. #21456179C2semidirect
19. #21455805C2semidirect
20. #485×D61C2semidirect
21. #21455665C2semidirect
22. #21455490C2semidirect
23. #21455446C2semidirect
24. #21455366C2semidirect
25. #21455138C2semidirect
26. #21455040C2semidirect
27. #21454697C2semidirect
28. #21454539C2semidirect
29. #21454348C2semidirect
30. #21454334C2semidirect
31. C61×#3302C2semidirect
34. C2×#14519809C22semidirect
37. C2×#14519783C22semidirect
40. #16840483C22semidirect
45. #16840458C22semidirect
46. #16840456C22semidirect
61. #16840389C22semidirect
65. #16840342C22semidirect
76. #16840244C22semidirect
77. #16840242C22semidirect
80. #16840130C22semidirect
81. #16840129C22semidirect
82. #16840124C22semidirect
83. #16840123C22semidirect
84. #16840118C22semidirect
85. #16840117C22semidirect
86. #16840111C22semidirect
89. #16840104C22semidirect
90. #16840103C22semidirect
93. #16840101C22semidirect
94. #16840100C22semidirect
95. #16840091C22semidirect
96. #16840090C22semidirect
97. #16840089C22semidirect
98. #16840086C22semidirect
99. #16840082C22semidirect
100. #16840081C22semidirect
101. #16840070C22semidirect
102. #16840068C22semidirect
103. #16840064C22semidirect
104. #16840062C22semidirect
105. #16840056C22semidirect
106. #16840054C22semidirect
107. #16840040C22semidirect
111. #16840011C22semidirect
112. #16840011C22semidirect
113. #16840010C22semidirect
114. #16840010C22semidirect
116. #16840001C22semidirect
117. #16840000C22semidirect
118. #16839999C22semidirect
119. #16839998C22semidirect
120. #16839993C22semidirect
121. #16839991C22semidirect
122. #16839986C22semidirect
123. #16839984C22semidirect
124. #16839980C22semidirect
125. #16839978C22semidirect
126. #16839970C22semidirect
127. #16839966C22semidirect
128. #16839964C22semidirect
130. #16839921C22semidirect
131. #16839917C22semidirect
133. #16839916C22semidirect
136. #16839908C22semidirect
138. #16839907C22semidirect
139. #16839903C22semidirect
141. #16839902C22semidirect
143. #16839872C22semidirect
144. #16839871C22semidirect
145. #16839867C22semidirect
146. #16839866C22semidirect
147. C4×#11758190C22semidirect
148. SD16×Dic61C22semidirect
149. #16839849C22semidirect
152. #16839834C22semidirect
154. #16839833C22semidirect
156. #16839825C22semidirect
157. #16839803C22semidirect
158. #107×D61C22semidirect
159. #106×D61C22semidirect
160. #16839787C22semidirect
161. #16839770C22semidirect
164. #16839769C22semidirect
165. #16839769C22semidirect
168. #16839763C22semidirect
171. #16839762C22semidirect
174. #16839760C22semidirect
180. #16839755C22semidirect
181. C2×#14519702C22semidirect
182. #103×D61C22semidirect
183. #103×D61C22semidirect
184. #103×D61C22semidirect
185. #16839727C22semidirect
187. #16839716C22semidirect
188. C61×#556C22semidirect
190. C61×#487C22semidirect
191. C61×#485C22semidirect
192. C61×#485C22semidirect
193. C61×#474C22semidirect
194. C61×#467C22semidirect
195. C61×#467C22semidirect
196. C61×#462C22semidirect
198. C61×#452C22semidirect
199. C4×SD16×C61C22semidirect
200. C8×D4×C61C22semidirect
202. C61×#416C22semidirect
907. #3302D61semidirect
943. #556C2×D61semidirect
991. #487C2×D61semidirect
1000. #485C2×D61semidirect
1001. #485C2×D61semidirect
1015. #474C2×D61semidirect
1026. #467C2×D61semidirect
1027. #467C2×D61semidirect
1037. #462C2×D61semidirect
1043. #452C2×D61semidirect
1063. C4×SD16C2×D61semidirect
1071. C8×D4C2×D61semidirect
1097. #416C2×D61semidirect
1105. C61#61197semidirect

Maximal subgroups

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

subgroupindex
#214595332
#214594932
#214581122
#214581112
#214580402
#214580282
#214579722
#214579712
#214578912
#214578792
#214578772
#214578762
#214577952
#214577912
#214577292
#214577242
#214577232
#214561792
#214558052
#485×D612
#214556652
#214554902
#214554462
#214553662
#214551382
#214550402
#214546972
#214545392
#214543482
#214543342
C61×#33022
#6119761