Finite Group Databasebeta

← #30550002

Subgroups — #30550002

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#21459244C211yesmaximal, characteristic, complemented
2#21459233C211yesmaximal, characteristic, complemented
3#21456503C211yesmaximal, characteristic, complemented
4#21456499C211yesmaximal, characteristic, complemented
5#21456492C211yesmaximal, characteristic, complemented
6#21456480C211yesmaximal, characteristic, complemented
7#21456446C211yesmaximal, characteristic, complemented
8#21456442C211yesmaximal, characteristic, complemented
9#21456435C211yesmaximal, characteristic, complemented
10#21456431C211yesmaximal, characteristic, complemented
11#21456425C211yesmaximal, characteristic, complemented
12#21456421C211yesmaximal, characteristic, complemented
13#21456412C211yesmaximal, characteristic, complemented
14#21456387C211yesmaximal, characteristic, complemented
15#21456383C211yesmaximal, characteristic, complemented
16#21456375C211yesmaximal, characteristic, complemented
17#21456374C211yesmaximal, characteristic, complemented
18#21456346C211yesmaximal, characteristic, complemented
19#21456292C211yesmaximal, characteristic, complemented
20#21456181C211yesmaximal, characteristic, complemented
21#21456174C211yesmaximal, characteristic, complemented
22#21455505C211yesmaximal, characteristic, complemented
23#21455496C211yesmaximal, characteristic, complemented
24#21455479C211yesmaximal, characteristic, complemented
25#21455456C211yesmaximal, characteristic, complemented
26C4×#14519806C211yesmaximal, characteristic, complemented
27C4×#14519801C211yesmaximal, characteristic, complemented
28C4×#14519796C211yesmaximal, characteristic, complemented
29C4×SD16×D61C211yesmaximal, characteristic, complemented
30C4×#14519785C211yesmaximal, characteristic, complemented
31C61×#3171C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33C2×#14519801C2211yescharacteristic
34C2×#14519796C2211yescharacteristic
35C2×SD16×D61C2211yescharacteristic
36C2×#14519785C2211yescharacteristic
37C2×#14519785C2211yescharacteristic
38#16840392C2211yescharacteristic
39#16840389C2211yescharacteristic
40#16840386C2211yescharacteristic
41#16840381C2211yescharacteristic, complemented
42#16840380—21no—
43#16840379C2211yescharacteristic
44#16840379C2211yescharacteristic, complemented
45#16840376—21no—
46#16840375C2211yescharacteristic, complemented
47#16840372C2211yescharacteristic, complemented
48#16840369—21no—
49#16840366C2211yescharacteristic
50#16840365C2211yescharacteristic
51#16840362—21no—
52#16840355—21no—
53#16840353—21no—
54#16840346—21no—
55#16840344—21no—
56#16840341C2211yescharacteristic
57#16840341C2211yescharacteristic
58#16840335C2211yescharacteristic
59#16840332C2211yescharacteristic
60#16840328C2211yescharacteristic
61#16840325C2211yescharacteristic
62#16840319C2211yescharacteristic, complemented
63#16840316C2211yescharacteristic, complemented
64#16840315—21no—
65#16840309C2211yescharacteristic
66#16840308—21no—
67#16840296C2211yescharacteristic
68#16840294—21no—
69#16840294C2211yescharacteristic
70#16840294C2211yescharacteristic, complemented
71#16840292—21no—
72#16840292—21no—
73#16840290—21no—
74#16840271—21no—
75#16840269—21no—
76C4×#11758222C2211yescharacteristic
77C4×#11758224C2211yescharacteristic
78C4×#11758224C2211yescharacteristic
79C4×Q8×D61C2211yescharacteristic
80C4×D4×D61C2211yescharacteristic
81#16840171C2211yescharacteristic, complemented
82#16840170C2211yescharacteristic, complemented
83#16840169C2211yescharacteristic, complemented
84#16840163C2211yescharacteristic, complemented
85#16840161C2211yescharacteristic, complemented
86#16840159C2211yescharacteristic, complemented
87#16840158C2211yescharacteristic, complemented
88#16840156C2211yescharacteristic
89#16840153C2211yescharacteristic
90#16840150C2211yescharacteristic
91#16840145C2211yescharacteristic
92#16840144C2211yescharacteristic
93#16840134C2211yescharacteristic
94#16840133C2211yescharacteristic
95#16840131C2211yescharacteristic, complemented
96#16840129C2211yescharacteristic, complemented
97#16840125C2211yescharacteristic
98#16840122C2211yescharacteristic
99#16840120C2211yescharacteristic
100#16840120C2211yescharacteristic, complemented
101#16840119C2211yescharacteristic
102#16840116C2211yescharacteristic, complemented
103#16840115C2211yescharacteristic
104#16840115C2211yescharacteristic, complemented
105#16840114C2211yescharacteristic, complemented
106#16840111C2211yescharacteristic, complemented
107#16840108C2211yescharacteristic
108#16840107C2211yescharacteristic
109#16840021C2211yescharacteristic, complemented
110#16840020C2211yescharacteristic, complemented
111#16840020C2211yescharacteristic, complemented
112#16840019C2211yescharacteristic, complemented
113#16840014C2211yescharacteristic
114#16840012C2211yescharacteristic, complemented
115#16840009C2211yescharacteristic
116#16840008C2211yescharacteristic
117#16840008C2211yescharacteristic
118#16840007C2211yescharacteristic
119#16840007C2211yescharacteristic, complemented
120#16840005C2211yescharacteristic
121#16840004C2211yescharacteristic, complemented
122#16840001C2211yescharacteristic, complemented
123#16839996C2211yescharacteristic
124#16839995C2211yescharacteristic
125#16839994C2211yescharacteristic
126#16839993C2211yescharacteristic
127#16839992C2211yescharacteristic
128#16839990C2211yescharacteristic
129#16839990C2211yescharacteristic, complemented
130#16839990C2211yescharacteristic, complemented
131#16839989C2211yescharacteristic
132#16839989C2211yescharacteristic
133#16839989C2211yescharacteristic, complemented
134#16839989C2211yescharacteristic, complemented
135#16839989C2211yescharacteristic, complemented
136#16839988C2211yescharacteristic, complemented
137#16839874C2211yescharacteristic
138#16839871C2211yescharacteristic
139#16839868C2211yescharacteristic, complemented
140#16839866C2211yescharacteristic, complemented
141#16839863C2211yescharacteristic, complemented
142#16839861C2211yescharacteristic
143#16839859C2211yescharacteristic
144#16839859C2211yescharacteristic, complemented
145C4×Dic244C2211yescharacteristic, complemented
146C4×Dic244C2211yescharacteristic, complemented
147#16839856C2211yescharacteristic, complemented
148C4×#11758202C2211yescharacteristic, complemented
149#16839853C2211yescharacteristic
150#16839853C2211yescharacteristic, complemented
151#16839853C2211yescharacteristic, complemented
152C4×#11758190C2211yescharacteristic
153C4×#11758190C2211yescharacteristic
154SD16×Dic61C2211yescharacteristic
155C4×#11758201C2211yescharacteristic
156#16839849C2211yescharacteristic
157C4×#11758200C2211yescharacteristic
158C4×#11758200C2211yescharacteristic
159C4×#11758200C2211yescharacteristic, complemented
160C4×#11758200C2211yescharacteristic, complemented
161C4×#11758200C2211yescharacteristic, complemented
162#16839847C2211yescharacteristic
163D8×Dic61C2211yescharacteristic, complemented
164C4×#11758199C2211yescharacteristic
165#16839803C2211yescharacteristic
166#16839801C2211yescharacteristic
167#16839799C2211yescharacteristic
168#106×D61C2211yescharacteristic
169#16839769C2211yescharacteristic
170#16839765C2211yescharacteristic
171#16839760C2211yescharacteristic
172#16839760C2211yescharacteristic
173#16839755C2211yescharacteristic
174#16839755C2211yescharacteristic
175#103×D61C2211yescharacteristic
176#102×D61C2211yescharacteristic
177#16839720C2211yescharacteristic, complemented
178#16839720C2211yescharacteristic, complemented
179#16839719C2211yescharacteristic
180#16839719C2211yescharacteristic
181#16839719C2211yescharacteristic, complemented
182#16839719C2211yescharacteristic, complemented
183C4×#11758189C2211yescharacteristic
184C4×#11758189C2211yescharacteristic, complemented
185C2×C4×#92418C2211yescharacteristic, complemented
186C4×C8×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#532C2211yescharacteristic
189C61×#529C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#496C2211yescharacteristic
192C61×#490C2211yescharacteristic
193C61×#489C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic
195C61×#469C2211yescharacteristic, complemented
196C61×#468C2211yescharacteristic
197C61×#468C2211yescharacteristic, complemented
198C4×SD16×C61C2211yescharacteristic
199C4×SD16×C61C2211yescharacteristic, complemented
200C4×D8×C61C2211yescharacteristic
201C4×D8×C61C2211yescharacteristic, complemented
202C4×M16×C61C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758222C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210#14519806—24no—
211#14519801—24no—
212#14519796—24no—
213C2×Dic244C2311yescharacteristic
214C2×Dic244C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758201C2311yescharacteristic
224SD16×D61—24no—
225C2×#11758199C2311yescharacteristic
226#14519785—24no—
227#14519785—24no—
228C2×#11758189C2311yescharacteristic
229C2×#11758189C2311yescharacteristic
230C2×#11758189C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C22×#92418C2311yescharacteristic
233C22×#92418C2311yescharacteristic
234C2×C8×D61C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238#14519777C2311yescharacteristic
239#14519777C2311yescharacteristic
240#14519776—21no—
241#14519776—21no—
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519775—21no—
245#14519775C2311yescharacteristic
246#14519773—21no—
247#14519773C2311yescharacteristic
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519771—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770—21no—
259#14519769—21no—
260#14519769C2311yescharacteristic
261#14519768—21no—
262#14519768—21no—
263#14519768—21no—
264#14519768C2311yescharacteristic
265#14519768C2311yescharacteristic
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519766—21no—
271#14519765C2311yescharacteristic
272#14519764—21no—
273#14519764—21no—
274#14519764C2311yescharacteristic
275#14519764C2311yescharacteristic
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519762—21no—
281#14519762—21no—
282#14519761—21no—
283#14519761—21no—
284#14519760—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759—21no—
289#14519759—21no—
290#14519759—21no—
291#14519758—21no—
292#14519758—21no—
293#14519758—21no—
294#14519758—21no—
295#14519757—21no—
296#14519757C2311yescharacteristic
297#14519757C2311yescharacteristic
298#14519757C2311yescharacteristic
299#14519756—21no—
300#14519756C2311yescharacteristic
301#14519756C2311yescharacteristic
302#14519756C2311yescharacteristic
303#14519755—21no—
304#14519755—21no—
305#14519755—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519754—21no—
312#14519754—21no—
313#14519753—21no—
314#14519753—21no—
315#14519753C2311yescharacteristic
316#14519752C2311yescharacteristic
317#14519751C2311yescharacteristic
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519749—21no—
322#14519749—21no—
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519748—21no—
329#14519748—21no—
330#14519748—21no—
331#14519748C2311yescharacteristic
332#14519748C2311yescharacteristic
333#14519748C2311yescharacteristic
334#14519747—21no—
335#14519745—21no—
336#14519745—21no—
337#14519745—21no—
338Q8×Dic61C2311yescharacteristic
339C4×Dic122—21no—
340C4×Dic122—21no—
341C4×Dic122—21no—
342C4×Dic122D411yescharacteristic
343C4×Dic122D411yescharacteristic
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346C4×Dic122C2311yescharacteristic
347#14519742—21no—
348#14519742C2311yescharacteristic
349#14519742C2311yescharacteristic
350#14519742C2311yescharacteristic
351C4×D244D411yescharacteristic
352C4×D244D411yescharacteristic
353C4×D244C2311yescharacteristic
354D4×Dic61C2311yescharacteristic
355D4×Dic61C2311yescharacteristic
356D4×Dic61C2311yescharacteristic
357#14519739C2311yescharacteristic
358C4×C22⋊D61—21no—
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61D411yescharacteristic
366C4×C22⋊D61D411yescharacteristic
367C4×C22⋊D61D411yescharacteristic
368C4×C22⋊D61D411yescharacteristic
369#14519737—21no—
370#14519737—21no—
371#14519737—21no—
372#14519736—21no—
373#14519736—21no—
374#14519736—21no—
375#14519736C2311yescharacteristic
376#14519735C2311yescharacteristic
377#14519735C2311yescharacteristic
378#14519734—21no—
379#14519734—21no—
380#14519734C2311yescharacteristic
381#14519734C2311yescharacteristic
382#14519733—21no—
383#14519733—21no—
384C4⋊C4×D61—21no—
385C4⋊C4×D61C2311yescharacteristic
386C4⋊C4×D61C2311yescharacteristic
387C22⋊C4×D61—21no—
388C2×C4×Dic61—21no—
389C2×C4×Dic61—21no—
390C42×D61—21no—
391C42×D61C2311yescharacteristic
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519708C2311yescharacteristic
404#14519708C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C4×#92418C2311yescharacteristic
436C4×#92418C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61—21no—
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C2×M16×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#127×C61C2311yescharacteristic
450#126×C61—21no—
451#125×C61C2311yescharacteristic
452#124×C61—21no—
453#124×C61C2311yescharacteristic
454#123×C61—21no—
455C22⋊Q8×C61C2311yescharacteristic
456#121×C61—21no—
457#121×C61C2311yescharacteristic
458#121×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×D4×C61—21no—
462C4×D4×C61—21no—
463C4×D4×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466#117×C61—21no—
467C2×C42×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482C4×C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—82no—
486C2×Q8×C61—21no—
487C2×Q8×C61C2411yescharacteristic
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61C2×D411yescharacteristic
500C22×C4×C61C2×D411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61C2×D411yescharacteristic
512C2×C22⋊D61C2×D411yescharacteristic
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518Q8×D61—22no—
519Q8×D61—22no—
520#11758224—22no—
521#11758224—22no—
522#11758224—22no—
523#11758224—22no—
524D4×D61—22no—
525D4×D61—22no—
526#11758222—22no—
527#11758222—22no—
528#11758222—82no—
529C2×D244—21no—
530C2×D244C2×D411yescharacteristic
531C2×D244C2411yescharacteristic
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—82no—
538C2×C4×D61C2×D411yescharacteristic
539C2×C4×D61C2×D411yescharacteristic
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
551C2×Dic122C2411yescharacteristic
552SD16×C61—22no—
553SD16×C61—22no—
554D8×C61—22no—
555D8×C61—22no—
556M16×C61—22no—
557M16×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×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
582C42×C61C2×D411yescharacteristic
583C42×C61C2411yescharacteristic
584C42×C61C2411yescharacteristic
585C22⋊Dic61—21no—
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⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61C2×D411yescharacteristic
599C22⋊Dic61C2×D411yescharacteristic
600#11758202—22no—
601#11758201—22no—
602#11758200—22no—
603#11758200—22no—
604#11758200—22no—
605#11758200—22no—
606#11758200—22no—
607#11758199—22no—
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#11758198C2×D411yescharacteristic
621#11758198C2×D411yescharacteristic
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61C2×D411yescharacteristic
634C4⋊Dic61C2×D411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639#11758196—21no—
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#11758196C2×D411yescharacteristic
660#11758196C2×D411yescharacteristic
661#11758196C2×D411yescharacteristic
662#11758196C2×D411yescharacteristic
663C4×Dic61—21no—
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
678C2×#92418—22no—
679C2×#92418—22no—
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684Dic244—22no—
685Dic244—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×C61—21no—
699C23×C61C22×D411yescharacteristic
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—81no—
709D4×C61—21no—
710D4×C61—21no—
711D4×C61—21no—
712D4×C61—21no—
713D4×C61—21no—
714D4×C61—21no—
715D4×C61—81no—
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—41no—
729C2×C4×C61—42no—
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—42no—
743C22⋊D61—81no—
744C22⋊D61—81no—
745C22⋊D61—81no—
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—21no—
756C2×Dic61—42no—
757C2×Dic61—42no—
758C2×Dic61—81no—
759C2×Dic61—81no—
760C2×Dic61—81no—
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767D244—22no—
768D244—21no—
769D244—21no—
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—81no—
780C4×D61—81no—
781C4×D61—81no—
782C4×D61C2×#4112yes—
783C4×D61C2×#4112yes—
784Dic122—22no—
785Dic122—21no—
786Dic122—21no—
787Dic122—21no—
788Dic122—21no—
789Dic122—21no—
790Dic122—21no—
791Dic122—42no—
792Dic122—81no—
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×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61C23×D411yescharacteristic
817C2×D61—21no—
818C2×D61—21no—
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
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#57712yes—
837C4×C61C22×#4111yescharacteristic
838C4×C61C22×#4111yescharacteristic
839Dic61—21no—
840Dic61—21no—
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—41no—
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#3171D6111yescharacteristic, complemented
866#3168—611no—
867#3168—611no—
868#3167—611no—
869#3167—611no—
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×C61—81no—
887C2×C61C2×#53211yescharacteristic
888C2×C61C2×#57711yescharacteristic
889C2×C61#358411yescharacteristic
890D61—22no—
891D61—41no—
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—611no—
925#533—1221no—
926#532—611no—
927#532—1221no—
928#532C2×D6111yescharacteristic
929#529—611no—
930#529—611no—
931#529—611no—
932#529—1221no—
933#529—1221no—
934#529—1221no—
935#529—1221no—
936#529C2×D6111yescharacteristic, complemented
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#501C2×D6111yescharacteristic, complemented
948#499—611no—
949#499—611no—
950#498—611no—
951#498—611no—
952#497—611no—
953#497—611no—
954#496—611no—
955#496C2×D6111yescharacteristic
956#495—611no—
957#495—611no—
958#492—611no—
959#492—611no—
960#491—611no—
961#491—611no—
962#490—611no—
963#490C2×D6111yescharacteristic
964#489—611no—
965#489—611no—
966#489—611no—
967#489C2×D6111yescharacteristic, complemented
968#488—611no—
969#488—611no—
970#488—611no—
971#488—611no—
972#487—611no—
973#487—611no—
974#486—611no—
975#486—611no—
976#470—611no—
977#470—611no—
978#470—611no—
979#470—611no—
980#469—611no—
981#469—611no—
982#469C2×D6111yescharacteristic
983#469C2×D6111yescharacteristic, complemented
984#468—611no—
985#468—611no—
986#468—611no—
987#468—611no—
988#468—611no—
989#468—611no—
990#468C2×D6111yescharacteristic
991#468C2×D6111yescharacteristic, complemented
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#465—611no—
1005#465—611no—
1006#465—611no—
1007#465—611no—
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×SD16—611no—
1033C4×SD16—611no—
1034C4×SD16C2×D6111yescharacteristic
1035C4×SD16C2×D6111yescharacteristic, complemented
1036C4×D8—611no—
1037C4×D8—611no—
1038C4×D8C2×D6111yescharacteristic
1039C4×D8C2×D6111yescharacteristic, complemented
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×M16C2×D6111yescharacteristic, complemented
1061C2×C4×C8—611no—
1062C2×C4×C8—611no—
1063C2×C4×C8—611no—
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—611no—
1086C2×SD16—611no—
1087C2×SD16—1224no—
1088C2×SD16C22×D6111yescharacteristic
1089C2×SD16C22×D6111yescharacteristic
1090C2×D8—611no—
1091C2×D8C22×D6111yescharacteristic
1092C2×D8C22×D6111yescharacteristic
1093#131—1224no—
1094#131—1224no—
1095C2×M16—611no—
1096C2×M16—611no—
1097C2×M16—611no—
1098C2×M16—611no—
1099C2×M16C22×D6111yescharacteristic
1100C2×M16C22×D6111yescharacteristic
1101C22×C8—611no—
1102C22×C8—611no—
1103C22×C8—611no—
1104C22×C8—611no—
1105C22×C8—611no—
1106C22×C8—611no—
1107C4⋊Q8—611no—
1108C4⋊Q8—611no—
1109C4⋊Q8—611no—
1110C4⋊Q8—611no—
1111C4⋊Q8—611no—
1112C4⋊Q8—1221no—
1113C4⋊Q8—1221no—
1114C4⋊Q8—1221no—
1115C4⋊Q8C22×D6111yescharacteristic
1116#127—611no—
1117#127—1221no—
1118#127C22×D6111yescharacteristic
1119#126—21no—
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—611no—
1132#125—611no—
1133#125—611no—
1134#125—1221no—
1135#125—1221no—
1136#125—1221no—
1137#125—1221no—
1138#125—1221no—
1139#125—1221no—
1140#125—1221no—
1141#125—1221no—
1142#125C22×D6111yescharacteristic
1143#124—21no—
1144#124—611no—
1145#124—611no—
1146#124—611no—
1147#124—1221no—
1148#124—1221no—
1149#124—1221no—
1150#124—1221no—
1151#124—1221no—
1152#124—1221no—
1153#124—1221no—
1154#124C22×D6111yescharacteristic
1155#123—21no—
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—611no—
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⋊Q8—1221no—
1192C22⋊Q8C22×D6111yescharacteristic
1193#121—21no—
1194#121—611no—
1195#121—611no—
1196#121—611no—
1197#121—611no—
1198#121—611no—
1199#121—1221no—
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#121C22×D6111yescharacteristic
1213#121C22×D6111yescharacteristic
1214#121C22×D6111yescharacteristic
1215#120—1221no—
1216#120—1221no—
1217#120—1221no—
1218#120—1221no—
1219C4×Q8—611no—
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×Q8—1221no—
1232C4×Q8C22×D6111yescharacteristic
1233C4×D4—21no—
1234C4×D4—21no—
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×D4C22×D6111yescharacteristic
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#107C22×D6111yescharacteristic
1287#107C22×D6111yescharacteristic
1288#106—611no—
1289#106—611no—
1290#106—611no—
1291#106—611no—
1292#106—611no—
1293#106—611no—
1294#106—611no—
1295#106—611no—
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#103—611no—
1311#103—611no—
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#102C22×D6111yescharacteristic
1325#102C22×D6111yescharacteristic
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#97C22×D6111yescharacteristic
1335#97C22×D6111yescharacteristic
1336C4×C8—611no—
1337C4×C8—611no—
1338C4×C8—611no—
1339C4×C8—611no—
1340C4×C8—611no—
1341C4×C8—611no—
1342C4×C8—611no—
1343C4×C8—611no—
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—611no—
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×Q8—1221no—
1366C2×Q8C23×D6111yescharacteristic
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—611no—
1373C2×D4—611no—
1374C2×D4—611no—
1375C2×D4—611no—
1376C2×D4—1221no—
1377C2×D4—1222no—
1378C2×D4—1222no—
1379C2×D4—1221no—
1380C2×D4—1221no—
1381C2×D4—1221no—
1382C2×D4—1221no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4C23×D6111yescharacteristic
1389C2×D4C23×D6111yescharacteristic
1390C2×D4C23×D6111yescharacteristic
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—611no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
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—1222no—
1420SD16—1222no—
1421SD16—1222no—
1422SD16—1222no—
1423SD16—1222no—
1424SD16—1222no—
1425SD16—1222no—
1426SD16—1222no—
1427D8—22no—
1428D8—22no—
1429D8—1222no—
1430M16—22no—
1431M16—22no—
1432M16—614no—
1433M16—1222no—
1434M16—1222no—
1435M16—1222no—
1436C2×C8—611no—
1437C2×C8—611no—
1438C2×C8—614no—
1439C2×C8—611no—
1440C2×C8—611no—
1441C2×C8—1222no—
1442C2×C8—1222no—
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—611no—
1456C4⋊C4—611no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
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—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—611no—
1508C22⋊C4—611no—
1509C22⋊C4—611no—
1510C22⋊C4—611no—
1511C22⋊C4—611no—
1512C22⋊C4—611no—
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—611no—
1540C42—611no—
1541C42—611no—
1542C42—611no—
1543C42—611no—
1544C42—611no—
1545C42—1221no—
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—21no—
1561C23—611no—
1562C23—611no—
1563C23—1221no—
1564C23—4881no—
1565C23—4881no—
1566C23—2442no—
1567C23C2×D4×D6111yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—81no—
1571Q8—1222no—
1572Q8—1221no—
1573Q8—1221no—
1574Q8—1221no—
1575Q8—1221no—
1576Q8—1221no—
1577Q8—1221no—
1578Q8—4881no—
1579Q8—4881no—
1580Q8—4881no—
1581Q8—2442no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—1222no—
1594D4—1222no—
1595D4—1222no—
1596D4—1221no—
1597D4—1221no—
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—41no—
1617C2×C4—42no—
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—1221no—
1639C2×C4—4881no—
1640C2×C4—4881no—
1641C2×C4—4881no—
1642C2×C4—4881no—
1643C2×C4—4881no—
1644C2×C4—4881no—
1645C2×C4—2441no—
1646C2×C4—2441no—
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—41no—
1675C22—41no—
1676C22—41no—
1677C22—612no—
1678C22—1221no—
1679C22—1221no—
1680C22—1221no—
1681C22—1221no—
1682C22—1221no—
1683C22—4884no—
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—612no—
1698C4—1221no—
1699C4—1221no—
1700C4—1221no—
1701C4—1221no—
1702C4—1221no—
1703C4—2441no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C4#1684057212yes—
1711C4C2×#41×D6111yescharacteristic
1712C4C2×#41×D6111yescharacteristic
1713C2—41no—
1714C2—81no—
1715C2—81no—
1716C2—81no—
1717C2—1222no—
1718C2—4881no—
1719C2—2441no—
1720C2#532×D6111yescharacteristic
1721C2C2×#1684057211yescharacteristic
1722C2#2146059211yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3171C2
socleC22×C61C23×D4
hypercenter#3171D61
hypocenterC61#60694
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3171

Complements

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

NH ≅ G/Ntype
1. #21459244C2semidirect
2. #21459233C2semidirect
3. #21456503C2semidirect
4. #21456499C2semidirect
5. #21456492C2semidirect
6. #21456480C2semidirect
7. #21456446C2semidirect
8. #21456442C2semidirect
9. #21456435C2semidirect
10. #21456431C2semidirect
11. #21456425C2semidirect
12. #21456421C2semidirect
13. #21456412C2semidirect
14. #21456387C2semidirect
15. #21456383C2semidirect
16. #21456375C2semidirect
17. #21456374C2semidirect
18. #21456346C2semidirect
19. #21456292C2semidirect
20. #21456181C2semidirect
21. #21456174C2semidirect
22. #21455505C2semidirect
23. #21455496C2semidirect
24. #21455479C2semidirect
25. #21455456C2semidirect
26. C4×#14519806C2semidirect
27. C4×#14519801C2semidirect
28. C4×#14519796C2semidirect
29. C4×SD16×D61C2semidirect
30. C4×#14519785C2semidirect
31. C61×#3171C2semidirect
41. #16840381C22semidirect
44. #16840379C22semidirect
46. #16840375C22semidirect
47. #16840372C22semidirect
62. #16840319C22semidirect
63. #16840316C22semidirect
70. #16840294C22semidirect
81. #16840171C22semidirect
82. #16840170C22semidirect
83. #16840169C22semidirect
84. #16840163C22semidirect
85. #16840161C22semidirect
86. #16840159C22semidirect
87. #16840158C22semidirect
95. #16840131C22semidirect
96. #16840129C22semidirect
100. #16840120C22semidirect
102. #16840116C22semidirect
104. #16840115C22semidirect
105. #16840114C22semidirect
106. #16840111C22semidirect
109. #16840021C22semidirect
110. #16840020C22semidirect
111. #16840020C22semidirect
112. #16840019C22semidirect
114. #16840012C22semidirect
119. #16840007C22semidirect
121. #16840004C22semidirect
122. #16840001C22semidirect
129. #16839990C22semidirect
130. #16839990C22semidirect
133. #16839989C22semidirect
134. #16839989C22semidirect
135. #16839989C22semidirect
136. #16839988C22semidirect
139. #16839868C22semidirect
140. #16839866C22semidirect
141. #16839863C22semidirect
144. #16839859C22semidirect
145. C4×Dic244C22semidirect
146. C4×Dic244C22semidirect
147. #16839856C22semidirect
148. C4×#11758202C22semidirect
150. #16839853C22semidirect
151. #16839853C22semidirect
159. C4×#11758200C22semidirect
160. C4×#11758200C22semidirect
161. C4×#11758200C22semidirect
163. D8×Dic61C22semidirect
177. #16839720C22semidirect
178. #16839720C22semidirect
181. #16839719C22semidirect
182. #16839719C22semidirect
184. C4×#11758189C22semidirect
185. C2×C4×#92418C22semidirect
187. C4×C8×D61C22semidirect
189. C61×#529C22semidirect
190. C61×#501C22semidirect
193. C61×#489C22semidirect
195. C61×#469C22semidirect
197. C61×#468C22semidirect
199. C4×SD16×C61C22semidirect
201. C4×D8×C61C22semidirect
202. C4×M16×C61C22semidirect
691. #11758189#41semidirect
695. C8×D61#41semidirect
865. #3171D61semidirect
936. #529C2×D61semidirect
947. #501C2×D61semidirect
967. #489C2×D61semidirect
983. #469C2×D61semidirect
991. #468C2×D61semidirect
1035. C4×SD16C2×D61semidirect
1039. C4×D8C2×D61semidirect
1060. C4×M16C2×D61semidirect
1064. C61#60694semidirect

Maximal subgroups

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

subgroupindex
#214592442
#214592332
#214565032
#214564992
#214564922
#214564802
#214564462
#214564422
#214564352
#214564312
#214564252
#214564212
#214564122
#214563872
#214563832
#214563752
#214563742
#214563462
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#214561742
#214555052
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C4×#145198062
C4×#145198012
C4×#145197962
C4×SD16×D612
C4×#145197852
C61×#31712
#6069461