Finite Group Databasebeta

← #30575465

Subgroups — #30575465

Order 15616.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460380C211yesmaximal, characteristic, complemented
2#21459795C211yesmaximal, characteristic, complemented
3#21458855C211yesmaximal, characteristic, complemented
4#21458847C211yesmaximal, characteristic, complemented
5#21458652C211yesmaximal, characteristic, complemented
6#21458641C211yesmaximal, characteristic, complemented
7#21458034C211yesmaximal, characteristic, complemented
8#21458028C211yesmaximal, characteristic, complemented
9#21457934C211yesmaximal, characteristic, complemented
10#21457923C211yesmaximal, characteristic, complemented
11#21457874C211yesmaximal, characteristic, complemented
12#21457869C211yesmaximal, characteristic, complemented
13#21457464C211yesmaximal, characteristic, complemented
14#21457458C211yesmaximal, characteristic, complemented
15#21457377C211yesmaximal, characteristic, complemented
16#21457367C211yesmaximal, characteristic, complemented
17#21457348C211yesmaximal, characteristic, complemented
18#21457343C211yesmaximal, characteristic, complemented
19#21457242C211yesmaximal, characteristic, complemented
20#21457239C211yesmaximal, characteristic, complemented
21#21457211C211yesmaximal, characteristic, complemented
22#21456901C211yesmaximal, characteristic, complemented
23#21456820C211yesmaximal, characteristic, complemented
24#21456098C211yesmaximal, characteristic, complemented
25#21456095C211yesmaximal, characteristic, complemented
26#21455980C211yesmaximal, characteristic, complemented
27#21455366C211yesmaximal, characteristic, complemented
28#21455365C211yesmaximal, characteristic, complemented
29#21455310C211yesmaximal, characteristic, complemented
30#21454984C211yesmaximal, characteristic, complemented
31C61×#3223C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519809C2211yescharacteristic, complemented
34C2×#14519808C2211yescharacteristic, complemented
35C2×#14519804C2211yescharacteristic
36C2×#14519800C2211yescharacteristic
37C2×#14519797C2211yescharacteristic
38#16840513—21no—
39#16840509—21no—
40#16840487C2211yescharacteristic, complemented
41#16840486C2211yescharacteristic
42#16840481C2211yescharacteristic
43#16840470C2211yescharacteristic, complemented
44#16840468C2211yescharacteristic, complemented
45#16840463—21no—
46#16840454C2211yescharacteristic
47#16840450—21no—
48#16840450C2211yescharacteristic
49#16840448—21no—
50#16840444—21no—
51#16840440—21no—
52#16840439—21no—
53#16840427C2211yescharacteristic
54Q8×C22⋊D61C2211yescharacteristic
55#16840423C2211yescharacteristic
56#16840419C2211yescharacteristic
57#16840415C2211yescharacteristic
58#16840414C2211yescharacteristic
59#16840414C2211yescharacteristic, complemented
60#16840405C2211yescharacteristic
61#16840400C2211yescharacteristic
62#16840387—21no—
63#16840383C2211yescharacteristic
64#16840382—21no—
65#16840381C2211yescharacteristic
66#16840380—21no—
67#16840370C2211yescharacteristic, complemented
68#16840360—21no—
69#16840353—21no—
70#16840348—21no—
71#16840337C2211yescharacteristic
72#16840317C2211yescharacteristic
73#16840316C2211yescharacteristic
74#16840295—21no—
75#16840290C2211yescharacteristic
76#125×D61—21no—
77#124×D61C2211yescharacteristic
78#16840244C2211yescharacteristic, complemented
79#16840242C2211yescharacteristic, complemented
80C4×#11758226C2211yescharacteristic
81#16840155C2211yescharacteristic
82#16840155C2211yescharacteristic
83#16840153C2211yescharacteristic
84#16840140C2211yescharacteristic, complemented
85#16840129C2211yescharacteristic, complemented
86#16840123C2211yescharacteristic
87#16840120C2211yescharacteristic
88#16840118C2211yescharacteristic
89#16840101C2211yescharacteristic
90#16840101C2211yescharacteristic
91#16840093C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840081C2211yescharacteristic
94#16840079C2211yescharacteristic
95#16840067C2211yescharacteristic, complemented
96#16840066C2211yescharacteristic, complemented
97#16840064C2211yescharacteristic
98#16840059C2211yescharacteristic
99#16840057C2211yescharacteristic, complemented
100#16840053C2211yescharacteristic, complemented
101#16840048C2211yescharacteristic, complemented
102#16840047C2211yescharacteristic, complemented
103#16840045C2211yescharacteristic, complemented
104#16840045C2211yescharacteristic, complemented
105#16840019C2211yescharacteristic
106#16840019C2211yescharacteristic
107#16840018C2211yescharacteristic, complemented
108#16840017C2211yescharacteristic
109#16840017C2211yescharacteristic
110#16840017C2211yescharacteristic, complemented
111#16840010C2211yescharacteristic
112#16840007C2211yescharacteristic
113#16840002C2211yescharacteristic, complemented
114#16840001C2211yescharacteristic, complemented
115#16839993C2211yescharacteristic
116#16839988C2211yescharacteristic
117#16839986C2211yescharacteristic
118#16839986C2211yescharacteristic
119#16839985C2211yescharacteristic
120#16839984C2211yescharacteristic
121#16839984C2211yescharacteristic
122#16839982C2211yescharacteristic
123#16839981C2211yescharacteristic
124#16839981C2211yescharacteristic
125#16839980C2211yescharacteristic
126#16839980C2211yescharacteristic
127#16839978C2211yescharacteristic
128#16839976C2211yescharacteristic
129#16839974C2211yescharacteristic
130#16839974C2211yescharacteristic
131#16839970C2211yescharacteristic, complemented
132#16839970C2211yescharacteristic, complemented
133#16839970C2211yescharacteristic, complemented
134#16839970C2211yescharacteristic, complemented
135#16839969C2211yescharacteristic, complemented
136#16839969C2211yescharacteristic, complemented
137#16839969C2211yescharacteristic, complemented
138#16839966C2211yescharacteristic, complemented
139#16839965C2211yescharacteristic
140#16839964C2211yescharacteristic
141#16839964C2211yescharacteristic, complemented
142#16839964C2211yescharacteristic, complemented
143#16839927C2211yescharacteristic
144#16839926C2211yescharacteristic, complemented
145#16839923C2211yescharacteristic
146#16839923C2211yescharacteristic
147#16839923C2211yescharacteristic
148#16839923C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic
150#16839919C2211yescharacteristic, complemented
151#16839916C2211yescharacteristic
152#16839916C2211yescharacteristic, complemented
153#16839914C2211yescharacteristic
154#16839911C2211yescharacteristic
155#16839909C2211yescharacteristic
156#16839906C2211yescharacteristic
157#16839892C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839875C2211yescharacteristic
160#16839871C2211yescharacteristic
161#16839870C2211yescharacteristic, complemented
162#16839869C2211yescharacteristic, complemented
163#16839869C2211yescharacteristic, complemented
164#16839869C2211yescharacteristic, complemented
165#16839865C2211yescharacteristic, complemented
166#16839865C2211yescharacteristic, complemented
167C4×#11758190C2211yescharacteristic
168C4×#11758190C2211yescharacteristic, complemented
169SD16×Dic61C2211yescharacteristic
170#16839847C2211yescharacteristic, complemented
171#16839841C2211yescharacteristic
172#16839837C2211yescharacteristic
173#16839836C2211yescharacteristic, complemented
174#16839835C2211yescharacteristic
175#16839830C2211yescharacteristic
176#16839830C2211yescharacteristic, complemented
177#16839822C2211yescharacteristic, complemented
178#16839818C2211yescharacteristic
179#16839789C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839763C2211yescharacteristic
185#16839762C2211yescharacteristic
186C2×#14519701C2211yescharacteristic, complemented
187#103×D61C2211yescharacteristic, complemented
188C61×#541C2211yescharacteristic, complemented
189C61×#536C2211yescharacteristic
190C61×#497C2211yescharacteristic
191C61×#494C2211yescharacteristic, complemented
192C61×#491C2211yescharacteristic, complemented
193C61×#488C2211yescharacteristic
194C61×#464C2211yescharacteristic
195C61×#464C2211yescharacteristic
196C61×#462C2211yescharacteristic, complemented
197C61×#462C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic
199C61×#452C2211yescharacteristic
200C61×#451C2211yescharacteristic, complemented
201C61×#451C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210#14519809—42no—
211#14519809—42no—
212#14519808—42no—
213#14519804—42no—
214#14519800—42no—
215#14519797—42no—
216C2×Dic244C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×D488C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758194C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234C2×#11758189C2311yescharacteristic
235C2×#11758189C2311yescharacteristic
236C22×#92418C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238#14519777C2311yescharacteristic
239#14519776—21no—
240#14519776C2311yescharacteristic
241#14519775—21no—
242#14519775C2311yescharacteristic
243#14519775C2311yescharacteristic
244#14519775C2311yescharacteristic
245#14519772—21no—
246#14519772—21no—
247#14519772—21no—
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519772D411yescharacteristic
252#14519771—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770D411yescharacteristic
257#14519769—21no—
258#14519768—21no—
259#14519768—21no—
260#14519768—21no—
261#14519768—21no—
262#14519768C2311yescharacteristic
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767D411yescharacteristic
269#14519766—21no—
270#14519766C2311yescharacteristic
271#14519766C2311yescharacteristic
272#14519765C2311yescharacteristic
273#14519764—21no—
274#14519764C2311yescharacteristic
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763D411yescharacteristic
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762D411yescharacteristic
288#14519761—21no—
289#14519761—21no—
290#14519760—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759D411yescharacteristic
296#14519757—21no—
297#14519757—21no—
298#14519757—21no—
299#14519757—21no—
300#14519757C2311yescharacteristic
301#14519757C2311yescharacteristic
302#14519756—21no—
303#14519756—21no—
304#14519756C2311yescharacteristic
305#14519755—21no—
306#14519755—21no—
307#14519755—21no—
308#14519755—21no—
309#14519755—21no—
310#14519755—21no—
311#14519755—21no—
312#14519755—21no—
313#14519755D411yescharacteristic
314#14519754—21no—
315#14519754—21no—
316#14519754—21no—
317#14519753—21no—
318#14519753—21no—
319#14519753C2311yescharacteristic
320#14519753C2311yescharacteristic
321#14519753C2311yescharacteristic
322#14519753C2311yescharacteristic
323#14519753C2311yescharacteristic
324#14519752—21no—
325#14519751—21no—
326#14519751C2311yescharacteristic
327#14519750—21no—
328#14519750—21no—
329#14519750—21no—
330#14519750D411yescharacteristic
331#14519749—21no—
332#14519748—21no—
333#14519748C2311yescharacteristic
334#14519747—21no—
335#14519745—21no—
336Q8×Dic61C2311yescharacteristic
337Q8×Dic61C2311yescharacteristic
338Q8×Dic61C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340Q8×Dic61C2311yescharacteristic
341C4×Dic122—21no—
342C4×Dic122C2311yescharacteristic
343C4×Dic122C2311yescharacteristic
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346#14519742—21no—
347#14519742—21no—
348C4×D244—21no—
349C4×D244—21no—
350C4×D244C2311yescharacteristic
351C4×D244C2311yescharacteristic
352C4×D244C2311yescharacteristic
353C4×D244C2311yescharacteristic
354D4×Dic61C2311yescharacteristic
355#14519739—21no—
356#14519739—21no—
357#14519739—21no—
358#14519739C2311yescharacteristic
359#14519739C2311yescharacteristic
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61C2311yescharacteristic
364C4×C22⋊D61C2311yescharacteristic
365#14519737—21no—
366#14519737—21no—
367#14519737—21no—
368#14519735—21no—
369#14519735—21no—
370#14519735—21no—
371#14519735—21no—
372#14519735—21no—
373#14519735C2311yescharacteristic
374#14519734—21no—
375#14519734—21no—
376#14519734C2311yescharacteristic
377#14519733—21no—
378#14519733—21no—
379C2×C4⋊Dic61C2311yescharacteristic
380C4⋊C4×D61—21no—
381C4⋊C4×D61—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61—21no—
385C4⋊C4×D61—21no—
386C4⋊C4×D61C2311yescharacteristic
387C2×#11758198—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C22⋊C4×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519710C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519709C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519701C2311yescharacteristic
422#14519701C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519699C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439#14519687C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×Q8×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×Q16×C61C2311yescharacteristic
445C2×Q16×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×Q16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452C4⋊Q8×C61C2311yescharacteristic
453C4⋊Q8×C61C2311yescharacteristic
454#126×C61—21no—
455#126×C61—21no—
456#125×C61—21no—
457#125×C61—21no—
458#125×C61C2311yescharacteristic
459#124×C61C2311yescharacteristic
460#124×C61C2311yescharacteristic
461#123×C61—21no—
462#123×C61—21no—
463C22⋊Q8×C61—21no—
464C22⋊Q8×C61—21no—
465C22⋊Q8×C61C2311yescharacteristic
466C22⋊Q8×C61C2311yescharacteristic
467C4×Q8×C61C2311yescharacteristic
468C4×Q8×C61C2311yescharacteristic
469#117×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×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
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—41no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61—41no—
489C2×Q8×C61—41no—
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—21no—
496C2×D4×C61C2411yescharacteristic
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61C2411yescharacteristic
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61C2×D411yescharacteristic
505C2×C22⋊D61C2×D411yescharacteristic
506C22×Dic61—21no—
507C22×Dic61—21no—
508#11758226—22no—
509#11758226—22no—
510#11758226—41no—
511#11758226—41no—
512#11758226—41no—
513#11758226—41no—
514Q8×D61—41no—
515Q8×D61—41no—
516Q8×D61—41no—
517Q8×D61—41no—
518D4×D61—41no—
519D4×D61—41no—
520#11758222—22no—
521#11758222—41no—
522C2×D244—21no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244C2×D411yescharacteristic
526C2×D244C2411yescharacteristic
527C2×D244C2411yescharacteristic
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2×D411yescharacteristic
542C2×C4×D61C2411yescharacteristic
543C2×C4×D61C2411yescharacteristic
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122C2×D411yescharacteristic
549C2×Dic122C2411yescharacteristic
550C2×Dic122C2411yescharacteristic
551Q16×C61—41no—
552Q16×C61—41no—
553Q16×C61—41no—
554Q16×C61—41no—
555Q16×C61—41no—
556Q16×C61—41no—
557SD16×C61—41no—
558SD16×C61—41no—
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
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×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61C2×D411yescharacteristic
576C4⋊C4×C61C2×D411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
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×C61C2411yescharacteristic
590C42×C61C2411yescharacteristic
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61C2×D411yescharacteristic
597C22⋊Dic61C2×D411yescharacteristic
598#11758202—41no—
599#11758202—41no—
600#11758202—41no—
601#11758202—41no—
602#11758202—41no—
603#11758201—22no—
604#11758201—22no—
605#11758201—22no—
606#11758201—41no—
607#11758201—41no—
608#11758200—41no—
609#11758199—22no—
610#11758198—21no—
611#11758198—21no—
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#11758198C2×D411yescharacteristic
631#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634#11758198C2×D411yescharacteristic
635#11758198C2×D411yescharacteristic
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61—21no—
646C4⋊Dic61C2×D411yescharacteristic
647C4⋊Dic61C2×D411yescharacteristic
648C4⋊Dic61C2411yescharacteristic
649C4⋊Dic61C2411yescharacteristic
650C4⋊Dic61C2411yescharacteristic
651C4⋊Dic61C2411yescharacteristic
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#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×Dic61—21no—
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2×D411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C4×Dic61C2411yescharacteristic
689#11758194—41no—
690C2×#92418—41no—
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—41no—
696D488—22no—
697#11758190—22no—
698#11758190—41no—
699#11758189—41no—
700#11758189—41no—
701#11758189—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61C22×D411yescharacteristic
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—42no—
708C22×D61—81no—
709C22×D61—81no—
710C22×D61C22×D411yescharacteristic
711C22×D61C22×D411yescharacteristic
712Q8×C61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—21no—
720Q8×C61—21no—
721Q8×C61—21no—
722Q8×C61—81no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—81no—
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—81no—
736C2×C4×C61—81no—
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C2511yescharacteristic
743C22⋊D61—41no—
744C22⋊D61—41no—
745C22⋊D61—42no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—81no—
756C2×Dic61—81no—
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763D244—21no—
764D244—21no—
765D244—21no—
766D244—41no—
767D244—42no—
768D244—42no—
769D244—81no—
770D244H(5,𝔽2)12yes—
771C4×D61—21no—
772C4×D61—21no—
773C4×D61—21no—
774C4×D61—21no—
775C4×D61—41no—
776C4×D61—41no—
777C4×D61—42no—
778C4×D61—42no—
779C4×D61—42no—
780C4×D61—42no—
781C4×D61—81no—
782C4×D61—81no—
783C4×D61—81no—
784C4×D61—81no—
785C4×D61—81no—
786C4×D61—81no—
787C4×D61—81no—
788C4×D61—81no—
789Dic122—21no—
790Dic122—21no—
791Dic122—21no—
792Dic122—21no—
793Dic122—41no—
794Dic122—81no—
795Dic122—81no—
796Dic122—81no—
797Dic122—81no—
798C8×C61—21no—
799C8×C61—21no—
800C8×C61—21no—
801C8×C61—21no—
802#92418—21no—
803#92418—21no—
804#92418—21no—
805#92418—21no—
806#62090—611nomaximal, Sylow
807C22×C61—21no—
808C22×C61—21no—
809C22×C61—21no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61C23×D411yescharacteristic
814C2×D61—21no—
815C2×D61—21no—
816C2×D61—21no—
817C2×D61—21no—
818C2×D61—21no—
819C2×D61—21no—
820C2×D61—22no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—162no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—21no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61—41no—
839C4×C61C2×H(5,𝔽2)11yescharacteristic
840C4×C61#58511yescharacteristic
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—21no—
845Dic61—21no—
846Dic61—21no—
847Dic61—41no—
848Dic61—41no—
849Dic61—41no—
850Dic61—41no—
851Dic61—41no—
852Dic61—41no—
853#3561—611no—
854#3515—611no—
855#3398—611no—
856#3398—611no—
857#3376—611no—
858#3376—611no—
859#3323—611no—
860#3323—611no—
861#3316—611no—
862#3316—611no—
863#3312—611no—
864#3312—611no—
865#3276—611no—
866#3276—611no—
867#3269—611no—
868#3269—611no—
869#3267—611no—
870#3267—611no—
871#3258—611no—
872#3258—611no—
873#3255—611no—
874#3223—611no—
875#3223D6111yescharacteristic, complemented
876#3215—611no—
877#3125—611no—
878#3125—611no—
879#3116—611no—
880#3046—611no—
881#3046—611no—
882#3040—611no—
883#2995—611no—
884C2×C61—41no—
885C2×C61—81no—
886C2×C61#348811yescharacteristic
887C2×C61#358611yescharacteristic
888C2×C61#358611yescharacteristic
889D61—41no—
890D61—41no—
891D61—42no—
892D61—81no—
893C2×#137—611no—
894C2×#137—611no—
895C2×#137—611no—
896C2×AGL(1,ℤ/8)—611no—
897C2×#135—611no—
898C2×#135—611no—
899#563—1221no—
900#562—1221no—
901#557—611no—
902#556—611no—
903#556—611no—
904#554—611no—
905#554—611no—
906#553—1221no—
907#552—611no—
908#552—611no—
909#552—1221no—
910#552—1221no—
911#552—1221no—
912#551—1221no—
913#551—1221no—
914D4×Q8—611no—
915D4×Q8—611no—
916#548—611no—
917#548—611no—
918#547—611no—
919#547—611no—
920#547—611no—
921#546—611no—
922#546—611no—
923#543—1221no—
924#542—611no—
925#542—611no—
926#542—1221no—
927#542—1221no—
928#541—611no—
929#541C2×D6111yescharacteristic, complemented
930#539—1221no—
931#539—1221no—
932#538—1221no—
933#536—611no—
934#536C2×D6111yescharacteristic
935#533—611no—
936#533—611no—
937#529—611no—
938#529—1221no—
939C2×#125—1221no—
940C2×#124—611no—
941#520—611no—
942#520—611no—
943C4×#41—611no—
944#497—611no—
945#497—611no—
946#497—611no—
947#497C2×D6111yescharacteristic
948#494—611no—
949#494C2×D6111yescharacteristic, complemented
950#491—611no—
951#491C2×D6111yescharacteristic, complemented
952#489—611no—
953#489—611no—
954#488—611no—
955#488C2×D6111yescharacteristic
956#485—611no—
957#485—611no—
958#483—611no—
959#483—611no—
960#481—611no—
961#481—611no—
962#479—611no—
963#479—611no—
964#478—611no—
965#478—611no—
966#477—611no—
967#476—611no—
968#475—611no—
969#475—611no—
970#475—611no—
971#475—611no—
972#470—611no—
973#470—611no—
974#470—611no—
975#470—611no—
976#470—611no—
977#470—611no—
978#468—611no—
979#468—611no—
980#467—611no—
981#467—611no—
982#465—611no—
983#465—611no—
984#464—611no—
985#464—611no—
986#464—611no—
987#464—611no—
988#464—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#464C2×D6111yescharacteristic
993#464C2×D6111yescharacteristic
994#463—611no—
995#463—611no—
996#463—611no—
997#463—611no—
998#463—611no—
999#463—611no—
1000#462—611no—
1001#462—611no—
1002#462—611no—
1003#462—611no—
1004#462—611no—
1005#462—611no—
1006#462—611no—
1007#462C2×D6111yescharacteristic, complemented
1008#462C2×D6111yescharacteristic, complemented
1009#461—611no—
1010#461—611no—
1011#461—611no—
1012#461—611no—
1013#461—611no—
1014#452—611no—
1015#452—611no—
1016#452—611no—
1017#452—611no—
1018#452—611no—
1019#452—611no—
1020#452C2×D6111yescharacteristic
1021#452C2×D6111yescharacteristic
1022#451—611no—
1023#451—611no—
1024#451—611no—
1025#451—611no—
1026#451C2×D6111yescharacteristic, complemented
1027#451C2×D6111yescharacteristic, complemented
1028#450—611no—
1029#450—611no—
1030#449—611no—
1031#449—611no—
1032#446—611no—
1033#446—611no—
1034#442—611no—
1035#442—611no—
1036#441—611no—
1037#441—611no—
1038#441—611no—
1039#441—611no—
1040#440—611no—
1041#440—611no—
1042C4×SD16—611no—
1043C4×SD16—611no—
1044C4×SD16—611no—
1045C4×SD16—611no—
1046#436—611no—
1047#436—611no—
1048#435—611no—
1049#435—611no—
1050#435—611no—
1051#435—611no—
1052#433—611no—
1053#433C2×D6111yescharacteristic, complemented
1054#432—611no—
1055#424—611no—
1056#424—611no—
1057#423—611no—
1058#419—611no—
1059#418—611no—
1060#417—611no—
1061#417—611no—
1062C2×#103—611no—
1063C2×#103—611no—
1064C61#6209011yescharacteristic, complemented, Sylow
1065C2×#41—611no—
1066C2×#41—611no—
1067C2×#41—611no—
1068C2×#41—611no—
1069C2×#41C22×D6111yescharacteristic
1070C22×Q8—611no—
1071C22×Q8—611no—
1072C22×Q8C22×D6111yescharacteristic
1073C22×D4—611no—
1074#137—2442no—
1075#137—2442no—
1076#137—2442no—
1077AGL(1,ℤ/8)—2442no—
1078#135—2442no—
1079#135—2442no—
1080C2×Q16—611no—
1081C2×Q16—611no—
1082C2×Q16—611no—
1083C2×Q16—611no—
1084C2×Q16—611no—
1085C2×Q16—611no—
1086C2×Q16C22×D6111yescharacteristic
1087C2×Q16C22×D6111yescharacteristic
1088C2×Q16C22×D6111yescharacteristic
1089C2×Q16C22×D6111yescharacteristic
1090C2×Q16C22×D6111yescharacteristic
1091C2×Q16C22×D6111yescharacteristic
1092C2×SD16—611no—
1093C2×SD16—611no—
1094C2×SD16—611no—
1095C2×SD16—611no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16C22×D6111yescharacteristic
1101C2×SD16C22×D6111yescharacteristic
1102C2×D8—611no—
1103C2×D8—611no—
1104C2×M16—611no—
1105C2×M16—611no—
1106C2×M16—611no—
1107C2×M16—611no—
1108C22×C8—611no—
1109C22×C8—611no—
1110C4⋊Q8—611no—
1111C4⋊Q8—611no—
1112C4⋊Q8—611no—
1113C4⋊Q8—611no—
1114C4⋊Q8—611no—
1115C4⋊Q8—1221no—
1116C4⋊Q8—1221no—
1117C4⋊Q8C22×D6111yescharacteristic
1118C4⋊Q8C22×D6111yescharacteristic
1119C4⋊Q8C22×D6111yescharacteristic
1120#126—21no—
1121#126—21no—
1122#126—611no—
1123#126—611no—
1124#126—1221no—
1125#126—1221no—
1126#126—1221no—
1127#126—1221no—
1128#126—1221no—
1129#126—1221no—
1130#126—1221no—
1131#126—1221no—
1132#126—1221no—
1133#126—1221no—
1134#125—21no—
1135#125—21no—
1136#125—611no—
1137#125—611no—
1138#125—1221no—
1139#125—1221no—
1140#125—1221no—
1141#125—1221no—
1142#125—1221no—
1143#125—1221no—
1144#125—1221no—
1145#125—1221no—
1146#125—1221no—
1147#125—1221no—
1148#125C22×D6111yescharacteristic
1149#124—611no—
1150#124—611no—
1151#124—611no—
1152#124—611no—
1153#124—611no—
1154#124—1221no—
1155#124—1221no—
1156#124—1221no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124C22×D6111yescharacteristic
1161#124C22×D6111yescharacteristic
1162#123—21no—
1163#123—21no—
1164#123—611no—
1165#123—611no—
1166#123—1221no—
1167#123—1221no—
1168#123—1221no—
1169#123—1221no—
1170#123—1221no—
1171#123—1221no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180C22⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8—611no—
1183C22⋊Q8—611no—
1184C22⋊Q8—611no—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
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⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8—1221no—
1210C22⋊Q8C22×D6111yescharacteristic
1211C22⋊Q8C22×D6111yescharacteristic
1212#121—611no—
1213#121—611no—
1214#121—611no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#120—1221no—
1223#120—1221no—
1224C4×Q8—611no—
1225C4×Q8—611no—
1226C4×Q8—611no—
1227C4×Q8—611no—
1228C4×Q8—611no—
1229C4×Q8—611no—
1230C4×Q8—611no—
1231C4×Q8—611no—
1232C4×Q8—611no—
1233C4×Q8—1221no—
1234C4×Q8—1221no—
1235C4×Q8—1221no—
1236C4×Q8C22×D6111yescharacteristic
1237C4×Q8C22×D6111yescharacteristic
1238C4×D4—611no—
1239C4×D4—611no—
1240C4×D4—611no—
1241C4×D4—611no—
1242C4×D4—611no—
1243C4×D4—611no—
1244C4×D4—611no—
1245C4×D4—611no—
1246C4×D4—611no—
1247C4×D4—1221no—
1248C4×D4—1221no—
1249C4×D4—1221no—
1250C4×D4—1221no—
1251C4×D4—1221no—
1252C4×D4—1221no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258#117—611no—
1259#117—611no—
1260#117—1221no—
1261#117—1221no—
1262#117—1221no—
1263#117—1221no—
1264#117—1221no—
1265#117—1221no—
1266#117—1221no—
1267#117—1221no—
1268#117—1221no—
1269#117C22×D6111yescharacteristic
1270C2×C4⋊C4—611no—
1271C2×C4⋊C4—611no—
1272C2×C4⋊C4—1221no—
1273C2×C4⋊C4—1221no—
1274C2×C4⋊C4—1221no—
1275C2×C4⋊C4—1221no—
1276C2×C4⋊C4—1221no—
1277C2×C4⋊C4—1221no—
1278C2×C22⋊C4—1221no—
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C22⋊C4—1221no—
1282C2×C42—611no—
1283C2×C42—1221no—
1284#107—611no—
1285#107—611no—
1286#106—611no—
1287#106—611no—
1288#106—611no—
1289#106—611no—
1290#106—611no—
1291#106—611no—
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8—611no—
1295C4⋊C8—611no—
1296C4⋊C8—611no—
1297C4⋊C8—611no—
1298C4⋊C8—611no—
1299C4⋊C8—611no—
1300C4⋊C8C22×D6111yescharacteristic
1301C4⋊C8C22×D6111yescharacteristic
1302#103—611no—
1303#103—611no—
1304#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
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#103C22×D6111yescharacteristic
1319#103C22×D6111yescharacteristic
1320#103C22×D6111yescharacteristic
1321#103C22×D6111yescharacteristic
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102C22×D6111yescharacteristic
1333#102C22×D6111yescharacteristic
1334C22⋊C8—611no—
1335C22⋊C8—611no—
1336C22⋊C8—611no—
1337C22⋊C8—611no—
1338C22⋊C8C22×D6111yescharacteristic
1339C22⋊C8C22×D6111yescharacteristic
1340#97—611no—
1341#97—611no—
1342#97—611no—
1343#97C22×D6111yescharacteristic
1344C4×C8—611no—
1345C4×C8C22×D6111yescharacteristic
1346C24—1221no—
1347#41—41no—
1348#41—41no—
1349#41—1222no—
1350#41—1222no—
1351#41—1222no—
1352#41—2441no—
1353#41—2441no—
1354#41—2441no—
1355#41—2441no—
1356#41—2441no—
1357C2×Q8—21no—
1358C2×Q8—41no—
1359C2×Q8—41no—
1360C2×Q8—611no—
1361C2×Q8—611no—
1362C2×Q8—611no—
1363C2×Q8—1221no—
1364C2×Q8—1221no—
1365C2×Q8—1221no—
1366C2×Q8—1221no—
1367C2×Q8—2441no—
1368C2×Q8—2441no—
1369C2×Q8—2441no—
1370C2×Q8—2441no—
1371C2×Q8C23×D6111yescharacteristic
1372C2×Q8C23×D6111yescharacteristic
1373C2×Q8C23×D6111yescharacteristic
1374C2×Q8C23×D6111yescharacteristic
1375C2×Q8C23×D6111yescharacteristic
1376C2×D4—21no—
1377C2×D4—611no—
1378C2×D4—611no—
1379C2×D4—611no—
1380C2×D4—611no—
1381C2×D4—611no—
1382C2×D4—1221no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—1221no—
1389C2×D4—2441no—
1390C2×D4—2441no—
1391C2×D4C23×D6111yescharacteristic
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—611no—
1397C22×C4—611no—
1398C22×C4—1221no—
1399C22×C4—1221no—
1400C22×C4—1221no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4C23×D6111yescharacteristic
1413Q16—41no—
1414Q16—41no—
1415Q16—41no—
1416Q16—41no—
1417Q16—41no—
1418Q16—41no—
1419Q16—2441no—
1420Q16—2441no—
1421Q16—2441no—
1422Q16—2441no—
1423Q16—2441no—
1424Q16—2441no—
1425SD16—41no—
1426SD16—41no—
1427SD16—1222no—
1428SD16—1222no—
1429SD16—1222no—
1430SD16—1222no—
1431SD16—2441no—
1432SD16—2441no—
1433SD16—2441no—
1434SD16—2441no—
1435D8—1222no—
1436D8—1222no—
1437M16—2441no—
1438M16—2441no—
1439M16—2441no—
1440M16—2441no—
1441C2×C8—611no—
1442C2×C8—611no—
1443C2×C8—611no—
1444C2×C8—611no—
1445C2×C8—2441no—
1446C2×C8—2441no—
1447C2×C8C23×D6111yescharacteristic
1448C2×C8C23×D6111yescharacteristic
1449C2×C8C23×D6111yescharacteristic
1450C2×C8C23×D6111yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—611no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
1470C4⋊C4—611no—
1471C4⋊C4—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1504C4⋊C4D4×D6111yescharacteristic
1505C4⋊C4C23×D6111yescharacteristic
1506C4⋊C4C23×D6111yescharacteristic
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—611no—
1514C22⋊C4—611no—
1515C22⋊C4—611no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1547C22⋊C4D4×D6111yescharacteristic
1548C42—21no—
1549C42—21no—
1550C42—611no—
1551C42—611no—
1552C42—611no—
1553C42—611no—
1554C42—1221no—
1555C42—1221no—
1556C42—1221no—
1557C42—1221no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42C23×D6111yescharacteristic
1564C42C23×D6111yescharacteristic
1565C23—21no—
1566C23—611no—
1567C23—611no—
1568C23—1221no—
1569C23—1221no—
1570C23—4881no—
1571C23—4881no—
1572C23—2442no—
1573C23C2×D4×D6111yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—81no—
1585Q8—1221no—
1586Q8—1221no—
1587Q8—1221no—
1588Q8—1221no—
1589Q8—4881no—
1590Q8—4881no—
1591Q8—4881no—
1592Q8—4881no—
1593Q8—2441no—
1594D4—21no—
1595D4—21no—
1596D4—81no—
1597D4—612no—
1598D4—1221no—
1599D4—1221no—
1600D4—1221no—
1601D4—4881no—
1602D4—4881no—
1603D4—4881no—
1604D4—4881no—
1605D4—2441no—
1606D4—2442no—
1607D4—2442no—
1608D4—2441no—
1609D4—2441no—
1610D4—2442no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—611no—
1623C2×C4—611no—
1624C2×C4—611no—
1625C2×C4—611no—
1626C2×C4—611no—
1627C2×C4—611no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—4881no—
1639C2×C4—4881no—
1640C2×C4—4881no—
1641C2×C4—4881no—
1642C2×C4—4881no—
1643C2×C4—4881no—
1644C2×C4—4881no—
1645C2×C4—4881no—
1646C2×C4—4881no—
1647C2×C4—4881no—
1648C2×C4—2441no—
1649C2×C4—2441no—
1650C2×C4—2442no—
1651C2×C4—2442no—
1652C2×C4—2442no—
1653C2×C4—2442no—
1654C2×C4C2×D4×D6111yescharacteristic
1655C2×C4C2×D4×D6111yescharacteristic
1656C2×C4C2×D4×D6111yescharacteristic
1657C2×C4C2×D4×D6111yescharacteristic
1658C2×C4C2×D4×D6111yescharacteristic
1659C2×C4C24×D6111yescharacteristic
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—1221no—
1665C8—1221no—
1666C8—1221no—
1667C8—1221no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—1221no—
1675C22—1221no—
1676C22—1222no—
1677C22—1221no—
1678C22—1221no—
1679C22—1221no—
1680C22—1221no—
1681C22—9762no—
1682C22—2441no—
1683C22—2441no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22C22×D4×D6111yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—1221no—
1701C4—1221no—
1702C4—1221no—
1703C4—1221no—
1704C4—1221no—
1705C4—1221no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C4—2441no—
1711C4—2441no—
1712C4H(5,𝔽2)×D6111yescharacteristic
1713C4#1684059711yescharacteristic
1714C2—41no—
1715C2—81no—
1716C2—4881no—
1717C2—2441no—
1718C2—2441no—
1719C2—2442no—
1720C2#2145948611yescharacteristic
1721C2#2146060411yescharacteristic
1722C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3223C2
socleC22×C61C23×D4
hypercenter#3223D61
hypocenterC61#62090
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3223

Complements

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

NH ≅ G/Ntype
1. #21460380C2semidirect
2. #21459795C2semidirect
3. #21458855C2semidirect
4. #21458847C2semidirect
5. #21458652C2semidirect
6. #21458641C2semidirect
7. #21458034C2semidirect
8. #21458028C2semidirect
9. #21457934C2semidirect
10. #21457923C2semidirect
11. #21457874C2semidirect
12. #21457869C2semidirect
13. #21457464C2semidirect
14. #21457458C2semidirect
15. #21457377C2semidirect
16. #21457367C2semidirect
17. #21457348C2semidirect
18. #21457343C2semidirect
19. #21457242C2semidirect
20. #21457239C2semidirect
21. #21457211C2semidirect
22. #21456901C2semidirect
23. #21456820C2semidirect
24. #21456098C2semidirect
25. #21456095C2semidirect
26. #21455980C2semidirect
27. #21455366C2semidirect
28. #21455365C2semidirect
29. #21455310C2semidirect
30. #21454984C2semidirect
31. C61×#3223C2semidirect
33. C2×#14519809C22semidirect
34. C2×#14519808C22semidirect
40. #16840487C22semidirect
43. #16840470C22semidirect
44. #16840468C22semidirect
59. #16840414C22semidirect
67. #16840370C22semidirect
78. #16840244C22semidirect
79. #16840242C22semidirect
84. #16840140C22semidirect
85. #16840129C22semidirect
91. #16840093C22semidirect
92. #16840091C22semidirect
95. #16840067C22semidirect
96. #16840066C22semidirect
99. #16840057C22semidirect
100. #16840053C22semidirect
101. #16840048C22semidirect
102. #16840047C22semidirect
103. #16840045C22semidirect
104. #16840045C22semidirect
107. #16840018C22semidirect
110. #16840017C22semidirect
113. #16840002C22semidirect
114. #16840001C22semidirect
131. #16839970C22semidirect
132. #16839970C22semidirect
133. #16839970C22semidirect
134. #16839970C22semidirect
135. #16839969C22semidirect
136. #16839969C22semidirect
137. #16839969C22semidirect
138. #16839966C22semidirect
141. #16839964C22semidirect
142. #16839964C22semidirect
144. #16839926C22semidirect
148. #16839923C22semidirect
150. #16839919C22semidirect
152. #16839916C22semidirect
157. #16839892C22semidirect
158. #16839890C22semidirect
161. #16839870C22semidirect
162. #16839869C22semidirect
163. #16839869C22semidirect
164. #16839869C22semidirect
165. #16839865C22semidirect
166. #16839865C22semidirect
168. C4×#11758190C22semidirect
170. #16839847C22semidirect
173. #16839836C22semidirect
176. #16839830C22semidirect
177. #16839822C22semidirect
179. #16839789C22semidirect
180. #16839787C22semidirect
186. C2×#14519701C22semidirect
187. #103×D61C22semidirect
188. C61×#541C22semidirect
191. C61×#494C22semidirect
192. C61×#491C22semidirect
196. C61×#462C22semidirect
197. C61×#462C22semidirect
200. C61×#451C22semidirect
201. C61×#451C22semidirect
202. C61×#433C22semidirect
875. #3223D61semidirect
929. #541C2×D61semidirect
949. #494C2×D61semidirect
951. #491C2×D61semidirect
1007. #462C2×D61semidirect
1008. #462C2×D61semidirect
1026. #451C2×D61semidirect
1027. #451C2×D61semidirect
1053. #433C2×D61semidirect
1064. C61#62090semidirect

Maximal subgroups

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

subgroupindex
#214603802
#214597952
#214588552
#214588472
#214586522
#214586412
#214580342
#214580282
#214579342
#214579232
#214578742
#214578692
#214574642
#214574582
#214573772
#214573672
#214573482
#214573432
#214572422
#214572392
#214572112
#214569012
#214568202
#214560982
#214560952
#214559802
#214553662
#214553652
#214553102
#214549842
C61×#32232
#6209061