Finite Group Databasebeta

← #30549998

Subgroups — #30549998

Order 15616.

1914 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#21459250C211yesmaximal, characteristic, complemented
2#21459233C211yesmaximal, characteristic, complemented
3#21456509C211yesmaximal, characteristic, complemented
4#21456497C211yesmaximal, characteristic, complemented
5#21456494C211yesmaximal, characteristic, complemented
6#21456482C211yesmaximal, characteristic, complemented
7#21456444C211yesmaximal, characteristic, complemented
8#21456440C211yesmaximal, characteristic, complemented
9#21456438C211yesmaximal, characteristic, complemented
10#21456429C211yesmaximal, characteristic, complemented
11#21456421C211yesmaximal, characteristic, complemented
12#21456419C211yesmaximal, characteristic, complemented
13#21456410C211yesmaximal, characteristic, complemented
14#21456408C211yesmaximal, characteristic, complemented
15#21456389C211yesmaximal, characteristic, complemented
16#21456385C211yesmaximal, characteristic, complemented
17#21456375C211yesmaximal, characteristic, complemented
18#21456344C211yesmaximal, characteristic, complemented
19#21456288C211yesmaximal, characteristic, complemented
20#21456179C211yesmaximal, characteristic, complemented
21#21456168C211yesmaximal, characteristic, complemented
22#21455503C211yesmaximal, characteristic, complemented
23#21455492C211yesmaximal, characteristic, complemented
24#21455476C211yesmaximal, characteristic, complemented
25#21455453C211yesmaximal, characteristic, complemented
26C4×#14519806C211yesmaximal, characteristic, complemented
27C4×#14519804C211yesmaximal, characteristic, complemented
28C4×#14519798C211yesmaximal, characteristic, complemented
29C4×SD16×D61C211yesmaximal, characteristic, complemented
30C4×#14519783C211yesmaximal, characteristic, complemented
31C61×#3167C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33C2×#14519804C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35C2×SD16×D61C2211yescharacteristic
36C2×#14519783C2211yescharacteristic
37C2×#14519783C2211yescharacteristic
38#16840389C2211yescharacteristic
39#16840389C2211yescharacteristic
40#16840386C2211yescharacteristic
41#16840386C2211yescharacteristic, complemented
42#16840385C2211yescharacteristic, complemented
43#16840382—21no—
44#16840379C2211yescharacteristic
45#16840376—21no—
46#16840373C2211yescharacteristic, complemented
47#16840372C2211yescharacteristic, complemented
48#16840371—21no—
49#16840366C2211yescharacteristic
50#16840365C2211yescharacteristic
51#16840362—21no—
52#16840360—21no—
53#16840358—21no—
54#16840346—21no—
55#16840344—21no—
56#16840342C2211yescharacteristic
57#16840341C2211yescharacteristic
58#16840337C2211yescharacteristic
59#16840335C2211yescharacteristic
60#16840328C2211yescharacteristic
61#16840325C2211yescharacteristic
62#16840316—21no—
63#16840316C2211yescharacteristic, complemented
64#16840309C2211yescharacteristic
65#16840308—21no—
66#16840299—21no—
67#16840299C2211yescharacteristic, complemented
68#16840296C2211yescharacteristic
69#16840296C2211yescharacteristic, complemented
70#16840294C2211yescharacteristic
71#16840292—21no—
72#16840290—21no—
73#16840290—21no—
74#16840271—21no—
75#16840269—21no—
76C4×#11758226C2211yescharacteristic
77C4×#11758222C2211yescharacteristic
78C4×#11758224C2211yescharacteristic
79C4×Q8×D61C2211yescharacteristic
80C4×D4×D61C2211yescharacteristic
81#16840169C2211yescharacteristic, complemented
82#16840169C2211yescharacteristic, complemented
83#16840168C2211yescharacteristic, complemented
84#16840168C2211yescharacteristic, complemented
85#16840164C2211yescharacteristic, complemented
86#16840162C2211yescharacteristic, complemented
87#16840159C2211yescharacteristic, complemented
88#16840154C2211yescharacteristic
89#16840153C2211yescharacteristic
90#16840149C2211yescharacteristic
91#16840148C2211yescharacteristic
92#16840146C2211yescharacteristic
93#16840143C2211yescharacteristic
94#16840133C2211yescharacteristic
95#16840130C2211yescharacteristic, complemented
96#16840129C2211yescharacteristic, complemented
97#16840126C2211yescharacteristic
98#16840125C2211yescharacteristic
99#16840124C2211yescharacteristic
100#16840124C2211yescharacteristic, complemented
101#16840123C2211yescharacteristic, complemented
102#16840120C2211yescharacteristic
103#16840118C2211yescharacteristic, complemented
104#16840117C2211yescharacteristic
105#16840117C2211yescharacteristic, complemented
106#16840115C2211yescharacteristic
107#16840111C2211yescharacteristic, complemented
108#16840107C2211yescharacteristic
109#16840021C2211yescharacteristic, complemented
110#16840019C2211yescharacteristic, complemented
111#16840018C2211yescharacteristic, complemented
112#16840018C2211yescharacteristic, complemented
113#16840016C2211yescharacteristic
114#16840014C2211yescharacteristic, complemented
115#16840013C2211yescharacteristic
116#16840013C2211yescharacteristic, complemented
117#16840011C2211yescharacteristic
118#16840010C2211yescharacteristic
119#16840010C2211yescharacteristic
120#16840007C2211yescharacteristic
121#16840006C2211yescharacteristic
122#16840006C2211yescharacteristic, complemented
123#16840005C2211yescharacteristic
124#16840005C2211yescharacteristic, complemented
125#16840003C2211yescharacteristic, complemented
126#16840002C2211yescharacteristic, complemented
127#16839998C2211yescharacteristic
128#16839997C2211yescharacteristic
129#16839994C2211yescharacteristic
130#16839992C2211yescharacteristic
131#16839992C2211yescharacteristic, complemented
132#16839991C2211yescharacteristic
133#16839991C2211yescharacteristic, complemented
134#16839990C2211yescharacteristic, complemented
135#16839988C2211yescharacteristic
136#16839988C2211yescharacteristic, complemented
137#16839873C2211yescharacteristic
138#16839871C2211yescharacteristic
139#16839868C2211yescharacteristic, complemented
140#16839866C2211yescharacteristic, complemented
141#16839865C2211yescharacteristic
142#16839863C2211yescharacteristic
143#16839863C2211yescharacteristic, complemented
144#16839859C2211yescharacteristic, complemented
145C4×Dic244C2211yescharacteristic, complemented
146C4×#11758202C2211yescharacteristic, complemented
147C4×#11758202C2211yescharacteristic, complemented
148#16839854C2211yescharacteristic, complemented
149#16839853C2211yescharacteristic
150C4×#11758190C2211yescharacteristic
151C4×#11758190C2211yescharacteristic, complemented
152SD16×Dic61C2211yescharacteristic
153SD16×Dic61C2211yescharacteristic, complemented
154C4×#11758201C2211yescharacteristic
155C4×#11758201C2211yescharacteristic
156#16839849C2211yescharacteristic
157#16839849C2211yescharacteristic, complemented
158C4×#11758200C2211yescharacteristic
159C4×#11758200C2211yescharacteristic, complemented
160#16839847C2211yescharacteristic
161C4×D488C2211yescharacteristic
162C4×#11758199C2211yescharacteristic
163C4×#11758199C2211yescharacteristic, complemented
164#16839842C2211yescharacteristic, complemented
165#16839801C2211yescharacteristic
166#16839801C2211yescharacteristic
167#16839797C2211yescharacteristic
168#106×D61C2211yescharacteristic
169#16839769C2211yescharacteristic
170#16839765C2211yescharacteristic
171#16839762C2211yescharacteristic
172#16839760C2211yescharacteristic
173#16839757C2211yescharacteristic
174#16839755C2211yescharacteristic
175#103×D61C2211yescharacteristic
176#102×D61C2211yescharacteristic
177#16839717C2211yescharacteristic, complemented
178#16839717C2211yescharacteristic, complemented
179#16839716C2211yescharacteristic
180#16839716C2211yescharacteristic
181#16839716C2211yescharacteristic, complemented
182#16839716C2211yescharacteristic, complemented
183C4×#11758194C2211yescharacteristic, complemented
184C4×#11758189C2211yescharacteristic
185C4×#11758189C2211yescharacteristic, complemented
186C4×C8×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#533C2211yescharacteristic, complemented
189C61×#532C2211yescharacteristic
190C61×#498C2211yescharacteristic, complemented
191C61×#492C2211yescharacteristic
192C61×#487C2211yescharacteristic, complemented
193C61×#486C2211yescharacteristic
194C61×#465C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#465C2211yescharacteristic, complemented
197C61×#465C2211yescharacteristic, complemented
198C4×SD16×C61C2211yescharacteristic
199C4×SD16×C61C2211yescharacteristic
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×SD16×C61C2211yescharacteristic, complemented
202C2×C4×C8×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210#14519806—24no—
211#14519804—24no—
212#14519798—24no—
213C2×Dic244C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222SD16×D61—24no—
223C2×D488C2311yescharacteristic
224C2×#11758199C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226#14519783—24no—
227#14519783—24no—
228C2×#11758194C2311yescharacteristic
229C2×#11758194C2311yescharacteristic
230C2×#11758189C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C2×#11758189C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234C2×C8×D61C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238#14519776—21no—
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519775—21no—
242#14519775—21no—
243#14519775C2311yescharacteristic
244#14519773—21no—
245#14519773C2311yescharacteristic
246#14519772—21no—
247#14519772—21no—
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519772—21no—
252#14519771—21no—
253#14519771—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519769C2311yescharacteristic
259#14519769C2311yescharacteristic
260#14519768—21no—
261#14519768C2311yescharacteristic
262#14519768C2311yescharacteristic
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519766—21no—
270#14519766—21no—
271#14519766C2311yescharacteristic
272#14519765C2311yescharacteristic
273#14519765C2311yescharacteristic
274#14519764—21no—
275#14519764C2311yescharacteristic
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762—21no—
285#14519762—21no—
286#14519761—21no—
287#14519760—21no—
288#14519760—21no—
289#14519759—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759—21no—
293#14519758—21no—
294#14519758—21no—
295#14519758—21no—
296#14519757—21no—
297#14519757C2311yescharacteristic
298#14519757C2311yescharacteristic
299#14519756C2311yescharacteristic
300#14519756C2311yescharacteristic
301#14519755—21no—
302#14519755—21no—
303#14519755—21no—
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519754—21no—
308#14519754—21no—
309#14519753—21no—
310#14519753—21no—
311#14519753—21no—
312#14519753—21no—
313#14519753C2311yescharacteristic
314#14519753C2311yescharacteristic
315#14519752—21no—
316#14519752C2311yescharacteristic
317#14519752C2311yescharacteristic
318#14519751C2311yescharacteristic
319#14519751C2311yescharacteristic
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519748—21no—
331#14519748—21no—
332#14519748C2311yescharacteristic
333#14519748C2311yescharacteristic
334#14519747—21no—
335#14519745—21no—
336#14519745—21no—
337#14519745—21no—
338Q8×Dic61C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340C4×Dic122—21no—
341C4×Dic122—21no—
342C4×Dic122D411yescharacteristic
343C4×Dic122D411yescharacteristic
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346#14519742—21no—
347#14519742C2311yescharacteristic
348#14519742C2311yescharacteristic
349C4×D244—21no—
350C4×D244—21no—
351C4×D244D411yescharacteristic
352C4×D244D411yescharacteristic
353C4×D244C2311yescharacteristic
354C4×D244C2311yescharacteristic
355D4×Dic61C2311yescharacteristic
356D4×Dic61C2311yescharacteristic
357#14519739—21no—
358#14519739C2311yescharacteristic
359#14519739C2311yescharacteristic
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61—21no—
366C4×C22⋊D61D411yescharacteristic
367C4×C22⋊D61D411yescharacteristic
368C4×C22⋊D61D411yescharacteristic
369C4×C22⋊D61D411yescharacteristic
370#14519737—21no—
371#14519737—21no—
372#14519736—21no—
373#14519736C2311yescharacteristic
374#14519735—21no—
375#14519735C2311yescharacteristic
376#14519735C2311yescharacteristic
377#14519734—21no—
378#14519734—21no—
379#14519734—21no—
380#14519734—21no—
381#14519734C2311yescharacteristic
382#14519734C2311yescharacteristic
383#14519733—21no—
384C4⋊C4×D61—21no—
385C4⋊C4×D61C2311yescharacteristic
386C4⋊C4×D61C2311yescharacteristic
387C22⋊C4×D61—21no—
388C2×C4×Dic61—21no—
389C42×D61—21no—
390C42×D61—21no—
391C42×D61C2311yescharacteristic
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519708C2311yescharacteristic
404#14519708C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434#14519687C2311yescharacteristic
435C4×#92418C2311yescharacteristic
436C4×#92418C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61—21no—
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449C4⋊Q8×C61C2311yescharacteristic
450C4⋊Q8×C61C2311yescharacteristic
451#127×C61C2311yescharacteristic
452#125×C61—21no—
453#124×C61—21no—
454C22⋊Q8×C61—21no—
455C22⋊Q8×C61C2311yescharacteristic
456C22⋊Q8×C61C2311yescharacteristic
457#121×C61—21no—
458#121×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×Q8×C61—21no—
461C4×Q8×C61C2311yescharacteristic
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61—21no—
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466#117×C61—21no—
467C2×C42×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C4×C8×C61C2311yescharacteristic
482C4×C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—82no—
486C2×Q8×C61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61C2×D411yescharacteristic
499C22×C4×C61C2×D411yescharacteristic
500C22×C4×C61C2411yescharacteristic
501C2×C22⋊D61—21no—
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⋊D61C2×D411yescharacteristic
510C2×C22⋊D61C2×D411yescharacteristic
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514#11758226—22no—
515#11758226—22no—
516Q8×D61—22no—
517Q8×D61—22no—
518#11758224—22no—
519#11758224—22no—
520D4×D61—22no—
521D4×D61—22no—
522#11758222—22no—
523#11758222—22no—
524#11758222—82no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244C2×D411yescharacteristic
529C2×D244C2411yescharacteristic
530C2×D244C2411yescharacteristic
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—82no—
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2×D411yescharacteristic
542C2×C4×D61C2×D411yescharacteristic
543C2×C4×D61C2×D411yescharacteristic
544C2×C4×D61C2411yescharacteristic
545C2×C4×D61C2411yescharacteristic
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122C2×D411yescharacteristic
550C2×Dic122C2411yescharacteristic
551C2×Dic122C2411yescharacteristic
552SD16×C61—22no—
553SD16×C61—22no—
554SD16×C61—22no—
555SD16×C61—22no—
556C2×C8×C61—22no—
557C2×C8×C61—22no—
558C2×C8×C61C2411yescharacteristic
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C4⋊C4×C61—21no—
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×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C42×C61—21no—
581C42×C61—21no—
582C42×C61C2×D411yescharacteristic
583C42×C61C2×D411yescharacteristic
584C42×C61C2411yescharacteristic
585C42×C61C2411yescharacteristic
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61C2×D411yescharacteristic
595C22⋊Dic61C2×D411yescharacteristic
596#11758202—22no—
597#11758202—22no—
598#11758201—22no—
599#11758201—22no—
600#11758200—22no—
601#11758200—22no—
602#11758199—22no—
603#11758199—22no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
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#11758198C2×D411yescharacteristic
625#11758198C2×D411yescharacteristic
626#11758198C2×D411yescharacteristic
627#11758198C2×D411yescharacteristic
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
634C4⋊Dic61C2×D411yescharacteristic
635C4⋊Dic61C2×D411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639C4⋊Dic61C2411yescharacteristic
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
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#11758196C2×D411yescharacteristic
661#11758196C2×D411yescharacteristic
662#11758196C2×D411yescharacteristic
663#11758196C2×D411yescharacteristic
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2×D411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C4×Dic61C2411yescharacteristic
678#11758194—22no—
679#11758194—22no—
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684Dic244—22no—
685D488—22no—
686#11758190—22no—
687#11758190—22no—
688#11758189—22no—
689#11758189—22no—
690#11758189—22no—
691#11758189#4114yescomplemented
692C8×D61—22no—
693C8×D61—22no—
694C8×D61—22no—
695C8×D61#4114yescomplemented
696C23×C61—21no—
697C23×C61—21no—
698C23×C61C22×D411yescharacteristic
699C22×D61—21no—
700C22×D61—21no—
701C22×D61—42no—
702C22×D61—81no—
703C22×D61—81no—
704C22×D61C22×D411yescharacteristic
705C22×D61C22×D411yescharacteristic
706Q8×C61—21no—
707Q8×C61—21no—
708Q8×C61—21no—
709Q8×C61—21no—
710Q8×C61—81no—
711Q8×C61—81no—
712D4×C61—21no—
713D4×C61—21no—
714D4×C61—21no—
715D4×C61—21no—
716D4×C61—81no—
717D4×C61—81no—
718D4×C61—81no—
719D4×C61—81no—
720C2×C4×C61—22no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—41no—
730C2×C4×C61—42no—
731C2×C4×C61—42no—
732C2×C4×C61C22×D411yescharacteristic
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C2511yescharacteristic
738C22⋊D61—22no—
739C22⋊D61—22no—
740C22⋊D61—42no—
741C22⋊D61—42no—
742C22⋊D61—81no—
743C22⋊D61—81no—
744C22⋊D61—81no—
745C22⋊D61—81no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—42no—
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—22no—
764D244—21no—
765D244—21no—
766D244—21no—
767D244—21no—
768D244—42no—
769D244—81no—
770D244—81no—
771C4×D61—22no—
772C4×D61—22no—
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×D61C2×#4112yes—
786C4×D61C2×#4112yes—
787Dic122—22no—
788Dic122—21no—
789Dic122—21no—
790Dic122—21no—
791Dic122—21no—
792Dic122—42no—
793Dic122—81no—
794Dic122—81no—
795C8×C61—21no—
796C8×C61—21no—
797C8×C61C2×#4112yes—
798C8×C61C2×#4112yes—
799#92418—21no—
800#92418—21no—
801#92418C2×#4112yes—
802#92418C2×#4112yes—
803#60694—611nomaximal, Sylow
804C22×C61—21no—
805C22×C61—21no—
806C22×C61—21no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
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—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—84no—
826C2×D61#53212yes—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61#57712yes—
838C4×C61C22×#4111yescharacteristic
839C4×C61C22×#4111yescharacteristic
840Dic61—21no—
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—21no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61—41no—
849Dic61—41no—
850Dic61—41no—
851Dic61#53212yes—
852#3461—611no—
853#3460—611no—
854#3179—611no—
855#3179—611no—
856#3178—611no—
857#3178—611no—
858#3174—611no—
859#3174—611no—
860#3173—611no—
861#3173—611no—
862#3172—611no—
863#3172—611no—
864#3171—611no—
865#3171—611no—
866#3168—611no—
867#3168—611no—
868#3167—611no—
869#3167D6111yescharacteristic, complemented
870#3163—611no—
871#3154—611no—
872#3137—611no—
873#3136—611no—
874#3063—611no—
875#3062—611no—
876#3060—611no—
877#3057—611no—
878C4×#137—611no—
879C4×AGL(1,ℤ/8)—611no—
880C4×#135—611no—
881C2×C4×SD16—611no—
882C4×#131—611no—
883C2×C61—41no—
884C2×C61—81no—
885C2×C61—81no—
886C2×C61C2×#53211yescharacteristic
887C2×C61C2×#57711yescharacteristic
888C2×C61#358411yescharacteristic
889D61—22no—
890D61—41no—
891D61—81no—
892D61—81no—
893C2×#137—611no—
894C2×AGL(1,ℤ/8)—611no—
895C2×#135—611no—
896C22×SD16—611no—
897C2×#131—611no—
898C2×#131—611no—
899#544—611no—
900#544—611no—
901#542—611no—
902#542—611no—
903#542—611no—
904#542—611no—
905#542—1221no—
906#542—1221no—
907#541—611no—
908#541—611no—
909#541—1221no—
910#540—611no—
911#540—611no—
912#540—1221no—
913#539—1221no—
914#539—1221no—
915#538—1221no—
916#538—1221no—
917#537—611no—
918#537—611no—
919#536—611no—
920#536—611no—
921#535—611no—
922#535—611no—
923#533—611no—
924#533—1221no—
925#533C2×D6111yescharacteristic, complemented
926#532—611no—
927#532—1221no—
928#532C2×D6111yescharacteristic
929#529—611no—
930#529—611no—
931#529—611no—
932#529—611no—
933#529—1221no—
934#529—1221no—
935#529—1221no—
936#529—1221no—
937#525—1221no—
938#525—1221no—
939C4×#41—611no—
940C4×#41—611no—
941C4×#41—611no—
942C2×C4×Q8—611no—
943C2×C4×D4—611no—
944#501—611no—
945#501—611no—
946#501—611no—
947#501—611no—
948#499—611no—
949#499—611no—
950#498—611no—
951#498C2×D6111yescharacteristic, complemented
952#497—611no—
953#497—611no—
954#496—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#492—611no—
959#492C2×D6111yescharacteristic
960#491—611no—
961#491—611no—
962#490—611no—
963#490—611no—
964#489—611no—
965#489—611no—
966#489—611no—
967#489—611no—
968#488—611no—
969#488—611no—
970#488—611no—
971#488—611no—
972#487—611no—
973#487C2×D6111yescharacteristic, complemented
974#486—611no—
975#486C2×D6111yescharacteristic
976#470—611no—
977#470—611no—
978#470—611no—
979#470—611no—
980#469—611no—
981#469—611no—
982#469—611no—
983#469—611no—
984#468—611no—
985#468—611no—
986#468—611no—
987#468—611no—
988#468—611no—
989#468—611no—
990#468—611no—
991#468—611no—
992#467—611no—
993#467—611no—
994#466—611no—
995#466—611no—
996#465—611no—
997#465—611no—
998#465—611no—
999#465—611no—
1000#465—611no—
1001#465—611no—
1002#465—611no—
1003#465—611no—
1004#465C2×D6111yescharacteristic
1005#465C2×D6111yescharacteristic
1006#465C2×D6111yescharacteristic, complemented
1007#465C2×D6111yescharacteristic, complemented
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#441—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015#440—611no—
1016C4×Q16—611no—
1017C4×Q16—611no—
1018C4×Q16—611no—
1019C4×Q16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×SD16—611no—
1027C4×SD16—611no—
1028C4×SD16—611no—
1029C4×SD16—611no—
1030C4×SD16—611no—
1031C4×SD16—611no—
1032C4×SD16C2×D6111yescharacteristic
1033C4×SD16C2×D6111yescharacteristic
1034C4×SD16C2×D6111yescharacteristic, complemented
1035C4×SD16C2×D6111yescharacteristic, complemented
1036C4×D8—611no—
1037C4×D8—611no—
1038C4×D8—611no—
1039C4×D8—611no—
1040#428—611no—
1041#428—611no—
1042#427—611no—
1043C2×#106—611no—
1044#419—611no—
1045#418—611no—
1046#417—611no—
1047#417—611no—
1048#416—611no—
1049#416—611no—
1050C2×#103—611no—
1051C2×#102—611no—
1052#405—611no—
1053#405—611no—
1054#405—611no—
1055#405—611no—
1056#405—611no—
1057#405—611no—
1058C4×M16—611no—
1059C4×M16—611no—
1060C4×M16—611no—
1061C2×C4×C8—611no—
1062C2×C4×C8—611no—
1063C2×C4×C8C2×D6111yescharacteristic, complemented
1064C61#6069411yescharacteristic, complemented, Sylow
1065C2×#41—21no—
1066C2×#41—611no—
1067C2×#41—611no—
1068C2×#41—611no—
1069C2×#41—1221no—
1070C22×Q8—611no—
1071C22×D4—611no—
1072C23×C4—1221no—
1073#137—1224no—
1074AGL(1,ℤ/8)—1224no—
1075#135—1224no—
1076C2×Q16—611no—
1077C2×Q16—611no—
1078C2×Q16—611no—
1079C2×SD16—611no—
1080C2×SD16—611no—
1081C2×SD16—611no—
1082C2×SD16—611no—
1083C2×SD16—611no—
1084C2×SD16—611no—
1085C2×SD16—1224no—
1086C2×SD16C22×D6111yescharacteristic
1087C2×SD16C22×D6111yescharacteristic
1088C2×SD16C22×D6111yescharacteristic
1089C2×SD16C22×D6111yescharacteristic
1090C2×D8—611no—
1091C2×D8—611no—
1092C2×D8—611no—
1093#131—1224no—
1094#131—1224no—
1095C2×M16—611no—
1096C2×M16—611no—
1097C2×M16—611no—
1098C2×M16—611no—
1099C2×M16—611no—
1100C2×M16—611no—
1101C22×C8—611no—
1102C22×C8—611no—
1103C22×C8—611no—
1104C22×C8—611no—
1105C22×C8C22×D6111yescharacteristic
1106C22×C8C22×D6111yescharacteristic
1107C4⋊Q8—611no—
1108C4⋊Q8—611no—
1109C4⋊Q8—611no—
1110C4⋊Q8—1221no—
1111C4⋊Q8—1221no—
1112C4⋊Q8—1221no—
1113C4⋊Q8C22×D6111yescharacteristic
1114C4⋊Q8C22×D6111yescharacteristic
1115C4⋊Q8C22×D6111yescharacteristic
1116#127—611no—
1117#127—1221no—
1118#127C22×D6111yescharacteristic
1119#126—1221no—
1120#126—1221no—
1121#126—1221no—
1122#126—1221no—
1123#126—1221no—
1124#126—1221no—
1125#126—1221no—
1126#126—1221no—
1127#126—1221no—
1128#126—1221no—
1129#126—1221no—
1130#126—1221no—
1131#125—21no—
1132#125—611no—
1133#125—611no—
1134#125—611no—
1135#125—611no—
1136#125—1221no—
1137#125—1221no—
1138#125—1221no—
1139#125—1221no—
1140#125—1221no—
1141#125—1221no—
1142#125—1221no—
1143#124—21no—
1144#124—611no—
1145#124—611no—
1146#124—611no—
1147#124—611no—
1148#124—1221no—
1149#124—1221no—
1150#124—1221no—
1151#124—1221no—
1152#124—1221no—
1153#124—1221no—
1154#124—1221no—
1155#123—1221no—
1156#123—1221no—
1157#123—1221no—
1158#123—1221no—
1159#123—1221no—
1160#123—1221no—
1161#123—1221no—
1162#123—1221no—
1163#123—1221no—
1164#123—1221no—
1165#123—1221no—
1166#123—1221no—
1167#123—1221no—
1168#123—1221no—
1169#123—1221no—
1170#123—1221no—
1171C22⋊Q8—21no—
1172C22⋊Q8—611no—
1173C22⋊Q8—611no—
1174C22⋊Q8—611no—
1175C22⋊Q8—611no—
1176C22⋊Q8—611no—
1177C22⋊Q8—611no—
1178C22⋊Q8—1221no—
1179C22⋊Q8—1221no—
1180C22⋊Q8—1221no—
1181C22⋊Q8—1221no—
1182C22⋊Q8—1221no—
1183C22⋊Q8—1221no—
1184C22⋊Q8—1221no—
1185C22⋊Q8—1221no—
1186C22⋊Q8—1221no—
1187C22⋊Q8—1221no—
1188C22⋊Q8—1221no—
1189C22⋊Q8—1221no—
1190C22⋊Q8—1221no—
1191C22⋊Q8C22×D6111yescharacteristic
1192C22⋊Q8C22×D6111yescharacteristic
1193#121—21no—
1194#121—611no—
1195#121—611no—
1196#121—611no—
1197#121—611no—
1198#121—611no—
1199#121—611no—
1200#121—1221no—
1201#121—1221no—
1202#121—1221no—
1203#121—1221no—
1204#121—1221no—
1205#121—1221no—
1206#121—1221no—
1207#121—1221no—
1208#121—1221no—
1209#121—1221no—
1210#121—1221no—
1211#121—1221no—
1212#121—1221no—
1213#121C22×D6111yescharacteristic
1214#121C22×D6111yescharacteristic
1215#120—1221no—
1216#120—1221no—
1217#120—1221no—
1218#120—1221no—
1219C4×Q8—21no—
1220C4×Q8—611no—
1221C4×Q8—611no—
1222C4×Q8—611no—
1223C4×Q8—611no—
1224C4×Q8—611no—
1225C4×Q8—611no—
1226C4×Q8—611no—
1227C4×Q8—611no—
1228C4×Q8—1221no—
1229C4×Q8—1221no—
1230C4×Q8—1221no—
1231C4×Q8C22×D6111yescharacteristic
1232C4×Q8C22×D6111yescharacteristic
1233C4×D4—21no—
1234C4×D4—611no—
1235C4×D4—611no—
1236C4×D4—611no—
1237C4×D4—611no—
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—1221no—
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×D4C22×D6111yescharacteristic
1258C4×D4C22×D6111yescharacteristic
1259#117—21no—
1260#117—611no—
1261#117—611no—
1262#117—611no—
1263#117—611no—
1264#117—611no—
1265#117—1221no—
1266#117—1221no—
1267#117—1221no—
1268#117—1221no—
1269#117—1221no—
1270#117—1221no—
1271#117—1221no—
1272C2×C4⋊C4—611no—
1273C2×C4⋊C4—611no—
1274C2×C4⋊C4—1221no—
1275C2×C22⋊C4—1221no—
1276C2×C42—611no—
1277C2×C42—611no—
1278C2×C42—1221no—
1279C2×C42—1221no—
1280C2×C42—1221no—
1281C2×C42C22×D6111yescharacteristic
1282#107—611no—
1283#107—611no—
1284#107—611no—
1285#107—611no—
1286#107—611no—
1287#107—611no—
1288#106—611no—
1289#106—611no—
1290#106—611no—
1291#106—611no—
1292#106—611no—
1293#106—611no—
1294#106C22×D6111yescharacteristic
1295#106C22×D6111yescharacteristic
1296#106C22×D6111yescharacteristic
1297#106C22×D6111yescharacteristic
1298#103—611no—
1299#103—611no—
1300#103—611no—
1301#103—611no—
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#103C22×D6111yescharacteristic
1311#103C22×D6111yescharacteristic
1312#103C22×D6111yescharacteristic
1313#103C22×D6111yescharacteristic
1314#102—611no—
1315#102—611no—
1316#102—611no—
1317#102—611no—
1318#102—611no—
1319#102—611no—
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102—611no—
1324#102—611no—
1325#102—611no—
1326#102C22×D6111yescharacteristic
1327#102C22×D6111yescharacteristic
1328#102C22×D6111yescharacteristic
1329#102C22×D6111yescharacteristic
1330#97—611no—
1331#97—611no—
1332#97—611no—
1333#97—611no—
1334#97—611no—
1335#97—611no—
1336C4×C8—611no—
1337C4×C8—611no—
1338C4×C8—611no—
1339C4×C8—611no—
1340C4×C8—611no—
1341C4×C8—611no—
1342C4×C8C22×D6111yescharacteristic
1343C4×C8C22×D6111yescharacteristic
1344C4×C8C22×D6111yescharacteristic
1345C4×C8C22×D6111yescharacteristic
1346C24—1221no—
1347#41—82no—
1348#41—1222no—
1349#41—1222no—
1350#41—1222no—
1351#41—1222no—
1352#41—1222no—
1353#41—1222no—
1354#41—4882no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—611no—
1358C2×Q8—611no—
1359C2×Q8—611no—
1360C2×Q8—1221no—
1361C2×Q8—1221no—
1362C2×Q8—1221no—
1363C2×Q8—1222no—
1364C2×Q8—1222no—
1365C2×Q8C23×D6111yescharacteristic
1366C2×Q8C23×D6111yescharacteristic
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—611no—
1372C2×D4—611no—
1373C2×D4—611no—
1374C2×D4—611no—
1375C2×D4—611no—
1376C2×D4—1221no—
1377C2×D4—1221no—
1378C2×D4—1221no—
1379C2×D4—1222no—
1380C2×D4—1222no—
1381C2×D4—1221no—
1382C2×D4—1221no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—1221no—
1389C2×D4C23×D6111yescharacteristic
1390C2×D4C23×D6111yescharacteristic
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—611no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—611no—
1397C22×C4—611no—
1398C22×C4—611no—
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—4882no—
1411C22×C4D4×D6111yescharacteristic
1412C22×C4D4×D6111yescharacteristic
1413C22×C4C23×D6111yescharacteristic
1414Q16—1222no—
1415Q16—1222no—
1416Q16—1222no—
1417SD16—22no—
1418SD16—22no—
1419SD16—22no—
1420SD16—22no—
1421SD16—1222no—
1422SD16—1222no—
1423SD16—1222no—
1424SD16—1222no—
1425SD16—1222no—
1426SD16—1222no—
1427D8—1222no—
1428D8—1222no—
1429D8—1222no—
1430M16—614no—
1431M16—1222no—
1432M16—1222no—
1433M16—1222no—
1434M16—1222no—
1435M16—1222no—
1436C2×C8—22no—
1437C2×C8—22no—
1438C2×C8—611no—
1439C2×C8—611no—
1440C2×C8—614no—
1441C2×C8—611no—
1442C2×C8—611no—
1443C2×C8—1222no—
1444C2×C8—1222no—
1445C2×C8—1222no—
1446C2×C8C23×D6111yescharacteristic
1447C2×C8C23×D6111yescharacteristic
1448C2×C8C23×D6111yescharacteristic
1449C2×C8C23×D6111yescharacteristic
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—611no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
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⋊C4C23×D6111yescharacteristic
1495C4⋊C4C23×D6111yescharacteristic
1496C4⋊C4C23×D6111yescharacteristic
1497C4⋊C4C23×D6111yescharacteristic
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—611no—
1505C22⋊C4—611no—
1506C22⋊C4—611no—
1507C22⋊C4—611no—
1508C22⋊C4—611no—
1509C22⋊C4—611no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
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—
1538C42—21no—
1539C42—21no—
1540C42—611no—
1541C42—611no—
1542C42—611no—
1543C42—611no—
1544C42—611no—
1545C42—611no—
1546C42—1221no—
1547C42—1221no—
1548C42—1221no—
1549C42—1221no—
1550C42—1221no—
1551C42—1221no—
1552C42—1221no—
1553C42—1221no—
1554C42D4×D6111yescharacteristic
1555C42D4×D6111yescharacteristic
1556C42C23×D6111yescharacteristic
1557C42C23×D6111yescharacteristic
1558C23—21no—
1559C23—21no—
1560C23—611no—
1561C23—611no—
1562C23—1221no—
1563C23—1221no—
1564C23—4881no—
1565C23—4881no—
1566C23—2442no—
1567C23C2×D4×D6111yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—81no—
1573Q8—81no—
1574Q8—1222no—
1575Q8—1221no—
1576Q8—1221no—
1577Q8—1221no—
1578Q8—1221no—
1579Q8—4881no—
1580Q8—4881no—
1581Q8—2442no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—1222no—
1591D4—1222no—
1592D4—1222no—
1593D4—1221no—
1594D4—1221no—
1595D4—1221no—
1596D4—1221no—
1597D4—4881no—
1598D4—4881no—
1599D4—4881no—
1600D4—4881no—
1601D4—4881no—
1602D4—4881no—
1603D4—4881no—
1604D4—4881no—
1605D4—2442no—
1606D4—2442no—
1607D4—2442no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—41no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—611no—
1621C2×C4—612no—
1622C2×C4—612no—
1623C2×C4—611no—
1624C2×C4—611no—
1625C2×C4—611no—
1626C2×C4—611no—
1627C2×C4—611no—
1628C2×C4—1222no—
1629C2×C4—1222no—
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—2441no—
1645C2×C4—2441no—
1646C2×C4—2442no—
1647C2×C4—2442no—
1648C2×C4—2442no—
1649C2×C4—2442no—
1650C2×C4—2442no—
1651C2×C4C2×D4×D6111yescharacteristic
1652C2×C4C2×D4×D6111yescharacteristic
1653C2×C4C2×D4×D6111yescharacteristic
1654C2×C4C2×D4×D6111yescharacteristic
1655C2×C4C2×D4×D6111yescharacteristic
1656C2×C4C24×D6111yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—612no—
1660C8—612no—
1661C8—1221no—
1662C8—1221no—
1663C8#41×D6112yes—
1664C8#41×D6112yes—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—612no—
1675C22—1221no—
1676C22—1221no—
1677C22—1221no—
1678C22—1221no—
1679C22—1221no—
1680C22—4884no—
1681C22—2441no—
1682C22—2441no—
1683C22—2441no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22C22×D4×D6111yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—612no—
1699C4—1221no—
1700C4—1221no—
1701C4—1221no—
1702C4—1221no—
1703C4—1221no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C4#1684056812yes—
1711C4C2×#41×D6111yescharacteristic
1712C4C2×#41×D6111yescharacteristic
1713C2—41no—
1714C2—81no—
1715C2—81no—
1716C2—1222no—
1717C2—4881no—
1718C2—4881no—
1719C2—2441no—
1720C2#532×D6111yescharacteristic
1721C2C2×#1684056811yescharacteristic
1722C2#2146058811yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3167C2
socleC22×C61C23×D4
hypercenter#3167D61
hypocenterC61#60694
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3167

Complements

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

NH ≅ G/Ntype
1. #21459250C2semidirect
2. #21459233C2semidirect
3. #21456509C2semidirect
4. #21456497C2semidirect
5. #21456494C2semidirect
6. #21456482C2semidirect
7. #21456444C2semidirect
8. #21456440C2semidirect
9. #21456438C2semidirect
10. #21456429C2semidirect
11. #21456421C2semidirect
12. #21456419C2semidirect
13. #21456410C2semidirect
14. #21456408C2semidirect
15. #21456389C2semidirect
16. #21456385C2semidirect
17. #21456375C2semidirect
18. #21456344C2semidirect
19. #21456288C2semidirect
20. #21456179C2semidirect
21. #21456168C2semidirect
22. #21455503C2semidirect
23. #21455492C2semidirect
24. #21455476C2semidirect
25. #21455453C2semidirect
26. C4×#14519806C2semidirect
27. C4×#14519804C2semidirect
28. C4×#14519798C2semidirect
29. C4×SD16×D61C2semidirect
30. C4×#14519783C2semidirect
31. C61×#3167C2semidirect
41. #16840386C22semidirect
42. #16840385C22semidirect
46. #16840373C22semidirect
47. #16840372C22semidirect
63. #16840316C22semidirect
67. #16840299C22semidirect
69. #16840296C22semidirect
81. #16840169C22semidirect
82. #16840169C22semidirect
83. #16840168C22semidirect
84. #16840168C22semidirect
85. #16840164C22semidirect
86. #16840162C22semidirect
87. #16840159C22semidirect
95. #16840130C22semidirect
96. #16840129C22semidirect
100. #16840124C22semidirect
101. #16840123C22semidirect
103. #16840118C22semidirect
105. #16840117C22semidirect
107. #16840111C22semidirect
109. #16840021C22semidirect
110. #16840019C22semidirect
111. #16840018C22semidirect
112. #16840018C22semidirect
114. #16840014C22semidirect
116. #16840013C22semidirect
122. #16840006C22semidirect
124. #16840005C22semidirect
125. #16840003C22semidirect
126. #16840002C22semidirect
131. #16839992C22semidirect
133. #16839991C22semidirect
134. #16839990C22semidirect
136. #16839988C22semidirect
139. #16839868C22semidirect
140. #16839866C22semidirect
143. #16839863C22semidirect
144. #16839859C22semidirect
145. C4×Dic244C22semidirect
146. C4×#11758202C22semidirect
147. C4×#11758202C22semidirect
148. #16839854C22semidirect
151. C4×#11758190C22semidirect
153. SD16×Dic61C22semidirect
157. #16839849C22semidirect
159. C4×#11758200C22semidirect
163. C4×#11758199C22semidirect
164. #16839842C22semidirect
177. #16839717C22semidirect
178. #16839717C22semidirect
181. #16839716C22semidirect
182. #16839716C22semidirect
183. C4×#11758194C22semidirect
185. C4×#11758189C22semidirect
187. C4×C8×D61C22semidirect
188. C61×#533C22semidirect
190. C61×#498C22semidirect
192. C61×#487C22semidirect
196. C61×#465C22semidirect
197. C61×#465C22semidirect
200. C4×SD16×C61C22semidirect
201. C4×SD16×C61C22semidirect
202. C2×C4×C8×C61C22semidirect
691. #11758189#41semidirect
695. C8×D61#41semidirect
869. #3167D61semidirect
925. #533C2×D61semidirect
951. #498C2×D61semidirect
973. #487C2×D61semidirect
1006. #465C2×D61semidirect
1007. #465C2×D61semidirect
1034. C4×SD16C2×D61semidirect
1035. C4×SD16C2×D61semidirect
1063. C2×C4×C8C2×D61semidirect
1064. C61#60694semidirect

Maximal subgroups

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

subgroupindex
#214592502
#214592332
#214565092
#214564972
#214564942
#214564822
#214564442
#214564402
#214564382
#214564292
#214564212
#214564192
#214564102
#214564082
#214563892
#214563852
#214563752
#214563442
#214562882
#214561792
#214561682
#214555032
#214554922
#214554762
#214554532
C4×#145198062
C4×#145198042
C4×#145197982
C4×SD16×D612
C4×#145197832
C61×#31672
#6069461