Finite Group Databasebeta

← #30558392

Subgroups — #30558392

Order 15616.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1890 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459733C211yesmaximal, characteristic, complemented
2#21459596C211yesmaximal, characteristic, complemented
3#21457963C211yesmaximal, characteristic, complemented
4#21457962C211yesmaximal, characteristic, complemented
5#21457959C211yesmaximal, characteristic, complemented
6#21457958C211yesmaximal, characteristic, complemented
7#21457950C211yesmaximal, characteristic, complemented
8#21457949C211yesmaximal, characteristic, complemented
9#21457938C211yesmaximal, characteristic, complemented
10#21457847C211yesmaximal, characteristic, complemented
11#21457846C211yesmaximal, characteristic, complemented
12#21457835C211yesmaximal, characteristic, complemented
13#21457834C211yesmaximal, characteristic, complemented
14#21457826C211yesmaximal, characteristic, complemented
15#21457825C211yesmaximal, characteristic, complemented
16#21457822C211yesmaximal, characteristic, complemented
17#21457821C211yesmaximal, characteristic, complemented
18#490×D61C211yesmaximal, characteristic, complemented
19#21455776C211yesmaximal, characteristic, complemented
20#21455772C211yesmaximal, characteristic, complemented
21#21455638C211yesmaximal, characteristic, complemented
22#21455494C211yesmaximal, characteristic, complemented
23#21455492C211yesmaximal, characteristic, complemented
24#21455296C211yesmaximal, characteristic, complemented
25#21455127C211yesmaximal, characteristic, complemented
26#21455127C211yesmaximal, characteristic, complemented
27#21454618C211yesmaximal, characteristic, complemented
28#21454533C211yesmaximal, characteristic, complemented
29#21454343C211yesmaximal, characteristic, complemented
30#21454341C211yesmaximal, characteristic, complemented
31C61×#3317C211yesmaximal, characteristic, complemented
32C2×#14519823C2211yescharacteristic
33C2×#14519823C2211yescharacteristic
34C2×#14519804C2211yescharacteristic, complemented
35C2×#14519804C2211yescharacteristic, complemented
36C2×#14519800C2211yescharacteristic
37C2×#14519785C2211yescharacteristic, complemented
38C2×#14519783C2211yescharacteristic, complemented
39#16840465—21no—
40#16840465C2211yescharacteristic, complemented
41#16840463—21no—
42#16840460C2211yescharacteristic, complemented
43#16840458C2211yescharacteristic, complemented
44#16840457—21no—
45#16840456—21no—
46#16840456C2211yescharacteristic, complemented
47#16840454C2211yescharacteristic, complemented
48#16840453C2211yescharacteristic, complemented
49#16840446C2211yescharacteristic, complemented
50#16840434C2211yescharacteristic
51#16840431C2211yescharacteristic
52#16840431C2211yescharacteristic
53D4×D244—21no—
54D4×D244C2211yescharacteristic
55#16840397—21no—
56#16840397C2211yescharacteristic
57#16840396—21no—
58#16840396—21no—
59#16840396C2211yescharacteristic
60#16840396C2211yescharacteristic
61#16840371—21no—
62#16840364—21no—
63#16840342C2211yescharacteristic, complemented
64#16840342C2211yescharacteristic, complemented
65#16840328—21no—
66#16840328—21no—
67#16840328C2211yescharacteristic
68#16840328C2211yescharacteristic
69#16840309—21no—
70#16840309C2211yescharacteristic
71#127×D61—21no—
72#127×D61C2211yescharacteristic
73#16840295—21no—
74#16840290—21no—
75#125×D61C2211yescharacteristic, complemented
76#16840243C2211yescharacteristic, complemented
77#16840242C2211yescharacteristic, complemented
78C4×#11758226C2211yescharacteristic
79C4×#11758226C2211yescharacteristic, complemented
80#16840128C2211yescharacteristic, complemented
81#16840127C2211yescharacteristic, complemented
82#16840126C2211yescharacteristic, complemented
83#16840125C2211yescharacteristic, complemented
84#16840125C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic, complemented
86#16840125C2211yescharacteristic, complemented
87#16840088C2211yescharacteristic, complemented
88#16840088C2211yescharacteristic, complemented
89#16840087C2211yescharacteristic, complemented
90#16840086C2211yescharacteristic, complemented
91#16840085C2211yescharacteristic, complemented
92#16840085C2211yescharacteristic, complemented
93#16840083C2211yescharacteristic, complemented
94#16840082C2211yescharacteristic, complemented
95#16840081C2211yescharacteristic, complemented
96#16840079C2211yescharacteristic, complemented
97#16840077C2211yescharacteristic, complemented
98#16840075C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840073C2211yescharacteristic, complemented
101#16840071C2211yescharacteristic, complemented
102#16840069C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840065C2211yescharacteristic, complemented
105#16840063C2211yescharacteristic, complemented
106#16840061C2211yescharacteristic, complemented
107#16840059C2211yescharacteristic, complemented
108#16840016C2211yescharacteristic, complemented
109#16840015C2211yescharacteristic, complemented
110#16840014C2211yescharacteristic, complemented
111#16840013C2211yescharacteristic, complemented
112#16840011C2211yescharacteristic, complemented
113#16840010C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16839999C2211yescharacteristic, complemented
116#16839998C2211yescharacteristic, complemented
117#16839997C2211yescharacteristic, complemented
118#16839996C2211yescharacteristic, complemented
119#16839994C2211yescharacteristic, complemented
120#16839993C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839962C2211yescharacteristic, complemented
123#16839960C2211yescharacteristic, complemented
124#16839960C2211yescharacteristic, complemented
125#16839958C2211yescharacteristic, complemented
126#16839956C2211yescharacteristic, complemented
127#16839956C2211yescharacteristic, complemented
128#16839954C2211yescharacteristic, complemented
129#16839923C2211yescharacteristic, complemented
130#16839923C2211yescharacteristic, complemented
131#16839912C2211yescharacteristic, complemented
132#16839912C2211yescharacteristic, complemented
133#16839911C2211yescharacteristic, complemented
134#16839911C2211yescharacteristic, complemented
135#16839910C2211yescharacteristic, complemented
136#16839910C2211yescharacteristic, complemented
137#16839907C2211yescharacteristic, complemented
138#16839907C2211yescharacteristic, complemented
139#16839898C2211yescharacteristic, complemented
140#16839898C2211yescharacteristic, complemented
141#16839897C2211yescharacteristic, complemented
142#16839897C2211yescharacteristic, complemented
143#16839875C2211yescharacteristic, complemented
144#16839873C2211yescharacteristic, complemented
145#16839869C2211yescharacteristic, complemented
146#16839865C2211yescharacteristic, complemented
147#16839865C2211yescharacteristic, complemented
148#16839860C2211yescharacteristic, complemented
149#16839860C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic, complemented
151#16839835C2211yescharacteristic, complemented
152#16839834C2211yescharacteristic, complemented
153#16839833C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155#16839831C2211yescharacteristic, complemented
156#16839830C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic, complemented
158#16839801C2211yescharacteristic, complemented
159#16839797C2211yescharacteristic, complemented
160#16839784C2211yescharacteristic, complemented
161#16839768C2211yescharacteristic, complemented
162#16839766C2211yescharacteristic, complemented
163#16839765C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic, complemented
165#16839765C2211yescharacteristic, complemented
166#16839765C2211yescharacteristic, complemented
167#16839763C2211yescharacteristic, complemented
168#16839762C2211yescharacteristic
169#16839762C2211yescharacteristic
170#16839762C2211yescharacteristic, complemented
171#16839762C2211yescharacteristic, complemented
172#16839758C2211yescharacteristic, complemented
173#16839757C2211yescharacteristic
174#16839757C2211yescharacteristic, complemented
175#16839757C2211yescharacteristic, complemented
176#16839757C2211yescharacteristic, complemented
177C2×#14519699C2211yescharacteristic, complemented
178C2×#14519697C2211yescharacteristic, complemented
179#102×D61C2211yescharacteristic, complemented
180#102×D61C2211yescharacteristic, complemented
181#102×D61C2211yescharacteristic, complemented
182#102×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186#16839727C2211yescharacteristic, complemented
187#97×D61C2211yescharacteristic, complemented
188C61×#552C2211yescharacteristic, complemented
189C61×#550C2211yescharacteristic
190C61×#490C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#441C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203#14519823—24no—
204#14519823—24no—
205#14519823—42no—
206#14519823—42no—
207C2×#11758226C2311yescharacteristic
208C2×#11758226C2311yescharacteristic
209C2×#11758226C2311yescharacteristic
210C2×#11758226C2311yescharacteristic
211C2×#11758222—21no—
212C2×#11758222—21no—
213C2×#11758222C2311yescharacteristic
214C2×#11758222C2311yescharacteristic
215C22×D244—21no—
216C22×D244—21no—
217C22×D244C2311yescharacteristic
218C22×D244C2311yescharacteristic
219C2×D4×D61—21no—
220C2×D4×D61—21no—
221C2×D4×D61—21no—
222C2×D4×D61—21no—
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61—21no—
228C2×D4×D61—21no—
229C2×D4×D61C2311yescharacteristic
230C2×D4×D61C2311yescharacteristic
231C2×D4×D61C2311yescharacteristic
232C2×D4×D61C2311yescharacteristic
233#14519804—42no—
234#14519804—42no—
235#14519800—24no—
236C2×#11758201C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238C2×#11758201C2311yescharacteristic
239C2×#11758201C2311yescharacteristic
240C2×D488C2311yescharacteristic
241C2×D488C2311yescharacteristic
242C2×D488C2311yescharacteristic
243C2×#11758199C2311yescharacteristic
244C2×#11758199C2311yescharacteristic
245#14519785—42no—
246#14519783—42no—
247C2×#11758194C2311yescharacteristic
248C2×#11758189C2311yescharacteristic
249C2×#11758189C2311yescharacteristic
250C2×#11758189C2311yescharacteristic
251C2×#11758189C2311yescharacteristic
252C22×#92418C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254C2×C8×D61C2311yescharacteristic
255C2×C8×D61C2311yescharacteristic
256C2×C8×D61C2311yescharacteristic
257#14519776D411yescharacteristic
258#14519774—21no—
259#14519774C2311yescharacteristic
260#14519773—21no—
261#14519773—21no—
262#14519773—21no—
263#14519773—21no—
264#14519773—21no—
265#14519773—21no—
266#14519773D411yescharacteristic
267#14519773C2311yescharacteristic
268#14519773C2311yescharacteristic
269#14519772—21no—
270#14519772—21no—
271#14519772—21no—
272#14519772—21no—
273#14519771—21no—
274#14519771—21no—
275#14519770—21no—
276#14519769C2311yescharacteristic
277#14519768—21no—
278#14519768C2311yescharacteristic
279#14519768C2311yescharacteristic
280#14519767—21no—
281#14519767—21no—
282#14519767—21no—
283#14519767—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763D411yescharacteristic
287#14519763D411yescharacteristic
288#14519762—21no—
289#14519762—21no—
290#14519762—21no—
291#14519761—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519755—21no—
296#14519755—21no—
297#14519753C2311yescharacteristic
298#14519753C2311yescharacteristic
299#14519752—21no—
300#14519752—21no—
301#14519752—21no—
302#14519752—21no—
303#14519752—21no—
304#14519752—21no—
305#14519752D411yescharacteristic
306#14519752C2311yescharacteristic
307#14519752C2311yescharacteristic
308#14519752C2311yescharacteristic
309#14519752C2311yescharacteristic
310#14519751—21no—
311#14519751—21no—
312#14519751—21no—
313#14519751C2311yescharacteristic
314#14519751C2311yescharacteristic
315#14519751C2311yescharacteristic
316#14519751C2311yescharacteristic
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750D411yescharacteristic
325#14519750D411yescharacteristic
326#14519749—21no—
327#14519748—21no—
328#14519748—21no—
329#14519748—21no—
330#14519748D411yescharacteristic
331#14519748C2311yescharacteristic
332#14519748C2311yescharacteristic
333#14519747—21no—
334#14519747—21no—
335#14519747—21no—
336#14519747—21no—
337#14519747—21no—
338#14519747—21no—
339#14519745—21no—
340#14519745—21no—
341#14519745—21no—
342#14519745—21no—
343#14519745—21no—
344#14519745—21no—
345Q8×Dic61C2311yescharacteristic
346Q8×Dic61C2311yescharacteristic
347C4×Dic122—21no—
348#14519742—21no—
349C4×D244—21no—
350C4×D244—21no—
351C4×D244—21no—
352C4×D244—21no—
353C4×D244—21no—
354C4×D244C2311yescharacteristic
355C4×D244C2311yescharacteristic
356C4×D244C2311yescharacteristic
357#14519739—21no—
358#14519739—21no—
359#14519739—21no—
360#14519739—21no—
361#14519739C2311yescharacteristic
362#14519739C2311yescharacteristic
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368C4×C22⋊D61C2311yescharacteristic
369C4×C22⋊D61C2311yescharacteristic
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519736C2311yescharacteristic
374#14519735—21no—
375#14519735—21no—
376#14519735—21no—
377#14519735C2311yescharacteristic
378#14519735C2311yescharacteristic
379#14519735C2311yescharacteristic
380#14519735C2311yescharacteristic
381#14519734—21no—
382#14519733—21no—
383C2×C4⋊Dic61C2311yescharacteristic
384C4⋊C4×D61—21no—
385C4⋊C4×D61—21no—
386C4⋊C4×D61C2311yescharacteristic
387C4⋊C4×D61C2311yescharacteristic
388C4⋊C4×D61C2311yescharacteristic
389C4⋊C4×D61C2311yescharacteristic
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451#127×C61—21no—
452#127×C61C2311yescharacteristic
453#126×C61—21no—
454#125×C61—21no—
455#125×C61C2311yescharacteristic
456#123×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459#121×C61—21no—
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61—21no—
466C4×D4×C61C2311yescharacteristic
467#117×C61—21no—
468#117×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61—21no—
489C23×D61—21no—
490C23×D61—21no—
491C23×D61—21no—
492C23×D61—21no—
493#41×C61—22no—
494#41×C61—22no—
495#41×C61—41no—
496#41×C61—41no—
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61C2×D411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61C2411yescharacteristic
512C22×C4×C61C2411yescharacteristic
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61C2×D411yescharacteristic
528C2×C22⋊D61C2×D411yescharacteristic
529C2×C22⋊D61C2×D411yescharacteristic
530C2×C22⋊D61C2×D411yescharacteristic
531C2×C22⋊D61C2×D411yescharacteristic
532C2×C22⋊D61C2×D411yescharacteristic
533C22×Dic61—21no—
534#11758226—22no—
535#11758226—22no—
536#11758226—22no—
537#11758226—22no—
538#11758226—22no—
539#11758226—41no—
540#11758226—41no—
541#11758226#4114yes—
542D4×D61—22no—
543D4×D61—22no—
544D4×D61—22no—
545D4×D61—22no—
546D4×D61—22no—
547D4×D61—22no—
548D4×D61—41no—
549D4×D61—41no—
550D4×D61—44no—
551D4×D61—44no—
552D4×D61—44no—
553D4×D61—44no—
554D4×D61—82no—
555D4×D61—82no—
556D4×D61—82no—
557D4×D61—82no—
558D4×D61—82no—
559D4×D61—82no—
560#11758222—22no—
561#11758222—22no—
562#11758222—22no—
563#11758222—22no—
564#11758222—44no—
565#11758222—44no—
566C2×D244—21no—
567C2×D244—22no—
568C2×D244—22no—
569C2×D244—21no—
570C2×D244—21no—
571C2×D244—21no—
572C2×D244—21no—
573C2×D244—21no—
574C2×D244—21no—
575C2×D244—21no—
576C2×D244—21no—
577C2×D244—21no—
578C2×D244—21no—
579C2×D244—21no—
580C2×D244—41no—
581C2×D244—41no—
582C2×D244—44no—
583C2×D244—44no—
584C2×D244C2×D411yescharacteristic
585C2×D244C2×D411yescharacteristic
586C2×D244C2×D411yescharacteristic
587C2×D244C2411yescharacteristic
588C2×D244C2411yescharacteristic
589C2×D244C2411yescharacteristic
590C2×D244C2411yescharacteristic
591C2×C4×D61—21no—
592C2×C4×D61—21no—
593C2×C4×D61—21no—
594C2×C4×D61—21no—
595C2×C4×D61—21no—
596C2×C4×D61—21no—
597C2×C4×D61—21no—
598C2×C4×D61—21no—
599C2×C4×D61—21no—
600C2×C4×D61—21no—
601C2×C4×D61—21no—
602C2×C4×D61—21no—
603C2×C4×D61C2×D411yescharacteristic
604C2×C4×D61C2×D411yescharacteristic
605C2×C4×D61C2411yescharacteristic
606C2×C4×D61C2411yescharacteristic
607C2×C4×D61C2411yescharacteristic
608C2×Dic122C2×D411yescharacteristic
609C2×Dic122C2×D411yescharacteristic
610Q16×C61—22no—
611SD16×C61—41no—
612SD16×C61—41no—
613M16×C61—41no—
614C2×C8×C61—41no—
615C2×C8×C61C2411yescharacteristic
616C2×C8×C61C2411yescharacteristic
617C2×C8×C61C2411yescharacteristic
618C2×C8×C61C2411yescharacteristic
619C4⋊C4×C61—21no—
620C4⋊C4×C61—21no—
621C4⋊C4×C61—21no—
622C4⋊C4×C61—21no—
623C4⋊C4×C61—21no—
624C4⋊C4×C61—21no—
625C4⋊C4×C61—21no—
626C4⋊C4×C61C2×D411yescharacteristic
627C4⋊C4×C61C2411yescharacteristic
628C4⋊C4×C61C2411yescharacteristic
629C4⋊C4×C61C2411yescharacteristic
630C4⋊C4×C61C2411yescharacteristic
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61C2×D411yescharacteristic
637C22⋊C4×C61C2×D411yescharacteristic
638C42×C61—21no—
639C42×C61—21no—
640C42×C61—21no—
641C42×C61C2411yescharacteristic
642C22⋊Dic61—21no—
643C22⋊Dic61—21no—
644C22⋊Dic61—21no—
645C22⋊Dic61C2×D411yescharacteristic
646C22⋊Dic61C2×D411yescharacteristic
647#11758201—22no—
648#11758201—22no—
649#11758201—41no—
650#11758201—41no—
651#11758199—41no—
652#11758199—41no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
666#11758198—21no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198C2×D411yescharacteristic
672#11758198C2×D411yescharacteristic
673#11758198C2×D411yescharacteristic
674#11758198C2×D411yescharacteristic
675C4⋊Dic61—21no—
676C4⋊Dic61—21no—
677C4⋊Dic61—21no—
678C4⋊Dic61—21no—
679C4⋊Dic61—21no—
680C4⋊Dic61C2×D411yescharacteristic
681C4⋊Dic61C2411yescharacteristic
682C4⋊Dic61C2411yescharacteristic
683C4⋊Dic61C2411yescharacteristic
684C4⋊Dic61C2411yescharacteristic
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196—21no—
693#11758196—21no—
694#11758196—21no—
695#11758196C2×D411yescharacteristic
696#11758196C2×D411yescharacteristic
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61—21no—
702C4×Dic61—21no—
703C4×Dic61—21no—
704C4×Dic61C2×D411yescharacteristic
705C4×Dic61C2×D411yescharacteristic
706C4×Dic61C2411yescharacteristic
707#11758194—41no—
708C2×#92418—41no—
709C2×#92418C2411yescharacteristic
710C2×#92418C2411yescharacteristic
711C2×#92418C2411yescharacteristic
712C2×#92418C2411yescharacteristic
713D488—22no—
714D488—41no—
715D488—41no—
716#11758189—22no—
717#11758189—22no—
718#11758189—41no—
719#11758189—41no—
720C8×D61—22no—
721C8×D61—22no—
722C8×D61—41no—
723C8×D61—41no—
724C23×C61—21no—
725C23×C61—21no—
726C23×C61C22×D411yescharacteristic
727C23×C61C22×D411yescharacteristic
728C22×D61—21no—
729C22×D61—21no—
730C22×D61—21no—
731C22×D61—21no—
732C22×D61—42no—
733C22×D61—42no—
734C22×D61—42no—
735C22×D61—42no—
736C22×D61—42no—
737C22×D61—42no—
738C22×D61—81no—
739C22×D61—81no—
740C22×D61—81no—
741C22×D61—81no—
742C22×D61—81no—
743C22×D61—81no—
744C22×D61—81no—
745C22×D61—81no—
746C22×D61—81no—
747C22×D61—81no—
748C22×D61—81no—
749C22×D61—81no—
750C22×D61C22×D411yescharacteristic
751C22×D61C22×D411yescharacteristic
752C22×D61C22×D411yescharacteristic
753Q8×C61—21no—
754Q8×C61—21no—
755Q8×C61—21no—
756Q8×C61C2×#4112yes—
757D4×C61—21no—
758D4×C61—21no—
759D4×C61—21no—
760D4×C61—21no—
761D4×C61—41no—
762D4×C61—42no—
763D4×C61—42no—
764D4×C61—42no—
765D4×C61—81no—
766D4×C61—81no—
767D4×C61—81no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—42no—
779C2×C4×C61—42no—
780C2×C4×C61—81no—
781C2×C4×C61C22×D411yescharacteristic
782C2×C4×C61C22×D411yescharacteristic
783C2×C4×C61C22×D411yescharacteristic
784C2×C4×C61C22×D411yescharacteristic
785C2×C4×C61C2511yescharacteristic
786C22⋊D61—22no—
787C22⋊D61—22no—
788C22⋊D61—22no—
789C22⋊D61—22no—
790C22⋊D61—41no—
791C22⋊D61—41no—
792C22⋊D61—42no—
793C22⋊D61—42no—
794C22⋊D61—42no—
795C22⋊D61—42no—
796C22⋊D61—42no—
797C22⋊D61—42no—
798C22⋊D61—81no—
799C22⋊D61—81no—
800C22⋊D61—81no—
801C22⋊D61—81no—
802C22⋊D61—81no—
803C22⋊D61—81no—
804C22⋊D61—81no—
805C22⋊D61—81no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—81no—
811C2×Dic61C22×D411yescharacteristic
812C2×Dic61C22×D411yescharacteristic
813C2×Dic61C22×D411yescharacteristic
814C2×Dic61C22×D411yescharacteristic
815C2×Dic61C22×D411yescharacteristic
816D244—24no—
817D244—22no—
818D244—22no—
819D244—21no—
820D244—21no—
821D244—21no—
822D244—21no—
823D244—21no—
824D244—21no—
825D244—21no—
826D244—41no—
827D244—42no—
828D244—42no—
829D244—42no—
830D244—42no—
831D244—42no—
832D244—42no—
833D244—81no—
834D244—81no—
835D244—81no—
836D244—81no—
837D244—81no—
838D244C2×#4112yes—
839C4×D61—21no—
840C4×D61—21no—
841C4×D61—21no—
842C4×D61—21no—
843C4×D61—24no—
844C4×D61—41no—
845C4×D61—41no—
846C4×D61—42no—
847C4×D61—42no—
848C4×D61—42no—
849C4×D61—42no—
850C4×D61—42no—
851C4×D61—81no—
852C4×D61—81no—
853C4×D61—81no—
854C4×D61—81no—
855C4×D61—81no—
856C4×D61—81no—
857C4×D61C2×#4112yes—
858C4×D61H(5,𝔽2)12yes—
859Dic122—22no—
860Dic122—22no—
861C8×C61—21no—
862C8×C61—21no—
863C8×C61—21no—
864C8×C61—21no—
865#92418—21no—
866#92418—21no—
867#92418—21no—
868#92418—21no—
869#61223—611nomaximal, Sylow
870C22×C61—21no—
871C22×C61—21no—
872C22×C61—21no—
873C22×C61—21no—
874C22×C61—21no—
875C22×C61—21no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61—41no—
879C22×C61—41no—
880C22×C61—41no—
881C22×C61—41no—
882C22×C61C23×D411yescharacteristic
883C2×D61—21no—
884C2×D61—21no—
885C2×D61—21no—
886C2×D61—21no—
887C2×D61—21no—
888C2×D61—21no—
889C2×D61—22no—
890C2×D61—21no—
891C2×D61—21no—
892C2×D61—41no—
893C2×D61—41no—
894C2×D61—41no—
895C2×D61—41no—
896C2×D61—41no—
897C2×D61—41no—
898C2×D61—41no—
899C2×D61—41no—
900C2×D61—41no—
901C2×D61—41no—
902C2×D61—41no—
903C2×D61—162no—
904C2×D61—162no—
905C2×D61—162no—
906C2×D61—162no—
907C2×D61—162no—
908C2×D61—162no—
909C2×D61#54612yes—
910C4×C61—21no—
911C4×C61—21no—
912C4×C61—21no—
913C4×C61—21no—
914C4×C61—22no—
915C4×C61—41no—
916C4×C61—41no—
917C4×C61—41no—
918C4×C61—41no—
919C4×C61—41no—
920C4×C61C22×#4111yescharacteristic
921C4×C61C2×H(5,𝔽2)11yescharacteristic
922Dic61—21no—
923Dic61—21no—
924Dic61—21no—
925Dic61—21no—
926Dic61—41no—
927Dic61—41no—
928Dic61—41no—
929Dic61—41no—
930Dic61#54612yes—
931#3512—611no—
932#3498—611no—
933#3318—611no—
934#3318—611no—
935#3318—611no—
936#3318—611no—
937#3317—611no—
938#3317—611no—
939#3317—611no—
940#3317D6111yescharacteristic, complemented
941#3310—611no—
942#3310—611no—
943#3310—611no—
944#3310—611no—
945#3309—611no—
946#3309—611no—
947#3309—611no—
948#3309—611no—
949C2×#490—611no—
950#3096—611no—
951#3096—611no—
952#3080—611no—
953#3062—611no—
954#3062—611no—
955#3038—611no—
956#3012—611no—
957#3012—611no—
958#2943—611no—
959#2932—611no—
960#2897—611no—
961#2897—611no—
962C2×C61—41no—
963C2×C61—41no—
964C2×C61—81no—
965C2×C61—81no—
966C2×C61C2×#54611yescharacteristic
967C2×C61#358511yescharacteristic
968C2×C61#358511yescharacteristic
969D61—22no—
970D61—41no—
971D61—41no—
972D61—42no—
973D61—81no—
974D61—81no—
975D61—81no—
976C2×H(5,𝔽2)—611no—
977C2×H(5,𝔽2)—611no—
978C2×AGL(1,ℤ/8)—611no—
979C2×AGL(1,ℤ/8)—611no—
980C2×#135—611no—
981C2×#131—611no—
982C2×#131—611no—
983#553—611no—
984#553—611no—
985#553—611no—
986#553—611no—
987#553—1221no—
988#553—1221no—
989#553—1221no—
990#553—1221no—
991#552—611no—
992#552—611no—
993#552—611no—
994#552C2×D6111yescharacteristic, complemented
995#550—611no—
996#550—611no—
997#550—611no—
998#550C2×D6111yescharacteristic
999D42—611no—
1000D42—611no—
1001D42—611no—
1002D42—611no—
1003D42—1221no—
1004D42—1221no—
1005D42—1221no—
1006D42—1221no—
1007#541—1221no—
1008#540—1221no—
1009#537—611no—
1010#537—611no—
1011#535—611no—
1012#535—611no—
1013#535—1221no—
1014#535—1221no—
1015#532—611no—
1016#532—1221no—
1017C2×#127—611no—
1018C2×#127—1221no—
1019#529—1221no—
1020#529—1221no—
1021C2×#125—611no—
1022#520—611no—
1023#520—611no—
1024C4×#41—611no—
1025C4×#41—611no—
1026#490—611no—
1027#490—611no—
1028#490—611no—
1029#490—611no—
1030#490—611no—
1031#490—611no—
1032#490—611no—
1033#490C2×D6111yescharacteristic, complemented
1034#482—611no—
1035#482—611no—
1036#482—611no—
1037#482—611no—
1038#482—611no—
1039#482—611no—
1040#482—611no—
1041#482C2×D6111yescharacteristic, complemented
1042#481—611no—
1043#481—611no—
1044#481—611no—
1045#481C2×D6111yescharacteristic, complemented
1046#480—611no—
1047#480—611no—
1048#480—611no—
1049#480—611no—
1050#479—611no—
1051#479—611no—
1052#479—611no—
1053#479C2×D6111yescharacteristic, complemented
1054#478—611no—
1055#478—611no—
1056#478—611no—
1057#478—611no—
1058#469—611no—
1059#469—611no—
1060#469—611no—
1061#469—611no—
1062#468—611no—
1063#468—611no—
1064#468—611no—
1065#468C2×D6111yescharacteristic, complemented
1066#466—611no—
1067#466—611no—
1068#466—611no—
1069#466—611no—
1070#465—611no—
1071#465—611no—
1072#465—611no—
1073#465C2×D6111yescharacteristic, complemented
1074#460—611no—
1075#460—611no—
1076#460—611no—
1077#460C2×D6111yescharacteristic, complemented
1078#459—611no—
1079#459—611no—
1080#459—611no—
1081#459—611no—
1082#452—611no—
1083#452—611no—
1084#452C2×D6111yescharacteristic, complemented
1085#452C2×D6111yescharacteristic, complemented
1086#450—611no—
1087#450—611no—
1088#450—611no—
1089#450—611no—
1090#449—611no—
1091#449—611no—
1092#449—611no—
1093#449—611no—
1094#447—611no—
1095#447—611no—
1096#447—611no—
1097#447—611no—
1098#442—611no—
1099#442—611no—
1100#441—611no—
1101#441C2×D6111yescharacteristic, complemented
1102#440—611no—
1103#440—611no—
1104#440—611no—
1105#440—611no—
1106#435—611no—
1107#435—611no—
1108#435—611no—
1109#435—611no—
1110#435—611no—
1111#435—611no—
1112#435—611no—
1113#435C2×D6111yescharacteristic, complemented
1114#428—611no—
1115#428—611no—
1116#427—611no—
1117#423—611no—
1118#418—611no—
1119#418—611no—
1120#418—611no—
1121#418—611no—
1122#418—611no—
1123#418—611no—
1124#417—611no—
1125#417—611no—
1126#417—611no—
1127#417—611no—
1128#417—611no—
1129#417C2×D6111yescharacteristic, complemented
1130#416—611no—
1131#416—611no—
1132#416—611no—
1133#416—611no—
1134#416—611no—
1135#416C2×D6111yescharacteristic, complemented
1136C2×#102—611no—
1137C2×#102—611no—
1138C2×#102—611no—
1139C2×#102—611no—
1140C2×#102—611no—
1141C2×#102—611no—
1142C2×#102—611no—
1143C2×#102—611no—
1144#408—611no—
1145#408—611no—
1146C2×#97—611no—
1147C61#6122311yescharacteristic, complemented, Sylow
1148H(5,𝔽2)—1224no—
1149H(5,𝔽2)—1224no—
1150H(5,𝔽2)—2442no—
1151H(5,𝔽2)—2442no—
1152C2×#41—611no—
1153C2×#41—611no—
1154C2×#41—611no—
1155C2×#41—611no—
1156C2×#41—611no—
1157C2×#41—611no—
1158C2×#41—1221no—
1159C2×#41—1221no—
1160C2×#41C22×D6111yescharacteristic
1161C2×#41C22×D6111yescharacteristic
1162C22×D4—611no—
1163C22×D4—611no—
1164C22×D4—611no—
1165C22×D4—611no—
1166C22×D4—611no—
1167C22×D4—611no—
1168C22×D4—1221no—
1169C22×D4—1221no—
1170C22×D4—1221no—
1171C22×D4—1221no—
1172C22×D4—1221no—
1173C22×D4—1221no—
1174C22×D4—1221no—
1175C22×D4—1221no—
1176C22×D4—1221no—
1177C22×D4—1221no—
1178C22×D4—1221no—
1179C22×D4—1221no—
1180AGL(1,ℤ/8)—2442no—
1181AGL(1,ℤ/8)—2442no—
1182#135—1224no—
1183C2×Q16C22×D6111yescharacteristic
1184C2×SD16—611no—
1185C2×SD16—611no—
1186C2×SD16—611no—
1187C2×SD16—611no—
1188C2×SD16C22×D6111yescharacteristic
1189C2×SD16C22×D6111yescharacteristic
1190C2×D8—611no—
1191C2×D8—611no—
1192C2×D8—611no—
1193C2×D8—611no—
1194C2×D8—611no—
1195#131—2442no—
1196#131—2442no—
1197C2×M16—611no—
1198C2×M16—611no—
1199C2×M16—611no—
1200C2×M16—611no—
1201C2×M16—611no—
1202C2×M16C22×D6111yescharacteristic
1203C22×C8—611no—
1204C22×C8—611no—
1205C22×C8—611no—
1206C22×C8—611no—
1207C22×C8—611no—
1208C22×C8C22×D6111yescharacteristic
1209C4⋊Q8—611no—
1210#127—21no—
1211#127—611no—
1212#127—611no—
1213#127—611no—
1214#127—611no—
1215#127—1221no—
1216#127—1221no—
1217#127—1221no—
1218#127—1221no—
1219#127—1221no—
1220#127—1221no—
1221#127—1221no—
1222#127C22×D6111yescharacteristic
1223#126—21no—
1224#126—1221no—
1225#126—1221no—
1226#126—1221no—
1227#126—1221no—
1228#126—1221no—
1229#126—1221no—
1230#126—1221no—
1231#125—21no—
1232#125—611no—
1233#125—611no—
1234#125—611no—
1235#125—1221no—
1236#125—1221no—
1237#125—1221no—
1238#125—1221no—
1239#125—1221no—
1240#125C22×D6111yescharacteristic
1241#124—611no—
1242#124—611no—
1243#124—1221no—
1244#124—1221no—
1245#123—21no—
1246#123—1221no—
1247#123—1221no—
1248#123—1221no—
1249#123—1221no—
1250#123—1221no—
1251#123—1221no—
1252#123—1221no—
1253C22⋊Q8—611no—
1254C22⋊Q8—611no—
1255C22⋊Q8—1221no—
1256C22⋊Q8—1221no—
1257C22⋊Q8C22×D6111yescharacteristic
1258C22⋊Q8C22×D6111yescharacteristic
1259#121—21no—
1260#121—21no—
1261#121—611no—
1262#121—611no—
1263#121—611no—
1264#121—611no—
1265#121—611no—
1266#121—611no—
1267#121—611no—
1268#121—611no—
1269#121—611no—
1270#121—611no—
1271#121—611no—
1272#121—611no—
1273#121—611no—
1274#121—611no—
1275#121—1221no—
1276#121—1221no—
1277#121—1221no—
1278#121—1221no—
1279#121—1221no—
1280#121—1221no—
1281#121—1221no—
1282#121—1221no—
1283#121—1221no—
1284#121—1221no—
1285#121—1221no—
1286#121—1221no—
1287#121—1221no—
1288#121—1221no—
1289#121—1221no—
1290#121—1221no—
1291#121—1221no—
1292#121—1221no—
1293#121—1221no—
1294#121—1221no—
1295#121C22×D6111yescharacteristic
1296#121C22×D6111yescharacteristic
1297#120—1221no—
1298#120—1221no—
1299#120—1221no—
1300#120—1221no—
1301#120—1221no—
1302#120—1221no—
1303#120—1221no—
1304#120—1221no—
1305#120—1221no—
1306#120—1221no—
1307#120—1221no—
1308#120—1221no—
1309C4×Q8—611no—
1310C4×Q8—611no—
1311C4×Q8—1221no—
1312C4×Q8—1221no—
1313C4×Q8C22×D6111yescharacteristic
1314C4×Q8C22×D6111yescharacteristic
1315C4×D4—21no—
1316C4×D4—611no—
1317C4×D4—611no—
1318C4×D4—611no—
1319C4×D4—611no—
1320C4×D4—611no—
1321C4×D4—611no—
1322C4×D4—611no—
1323C4×D4—1221no—
1324C4×D4—1221no—
1325C4×D4—1221no—
1326C4×D4—1221no—
1327C4×D4—1221no—
1328C4×D4—1221no—
1329C4×D4—1221no—
1330C4×D4—1221no—
1331C4×D4—1221no—
1332C4×D4—1221no—
1333C4×D4—1221no—
1334C4×D4—1221no—
1335C4×D4—1221no—
1336C4×D4—1221no—
1337C4×D4—1221no—
1338C4×D4—1221no—
1339C4×D4—1221no—
1340C4×D4C22×D6111yescharacteristic
1341#117—21no—
1342#117—611no—
1343#117—611no—
1344#117—611no—
1345#117—611no—
1346#117—611no—
1347#117—1221no—
1348#117—1221no—
1349#117—1221no—
1350#117—1221no—
1351#117—1221no—
1352#117C22×D6111yescharacteristic
1353C2×C4⋊C4—611no—
1354C2×C4⋊C4—611no—
1355C2×C4⋊C4—611no—
1356C2×C4⋊C4—611no—
1357C2×C4⋊C4—611no—
1358C2×C4⋊C4—1221no—
1359C2×C4⋊C4—1221no—
1360C2×C4⋊C4C22×D6111yescharacteristic
1361C2×C42—611no—
1362C2×C42—1221no—
1363C2×C42—1221no—
1364#107—611no—
1365#107—611no—
1366#107—611no—
1367#107—611no—
1368#107—611no—
1369#107C22×D6111yescharacteristic
1370#106—611no—
1371#106—611no—
1372#106—611no—
1373#106—611no—
1374#106C22×D6111yescharacteristic
1375#106C22×D6111yescharacteristic
1376C4⋊C8—611no—
1377C4⋊C8—611no—
1378C4⋊C8—611no—
1379C4⋊C8C22×D6111yescharacteristic
1380#103—611no—
1381#103—611no—
1382#103—611no—
1383#103—611no—
1384#103C22×D6111yescharacteristic
1385#103C22×D6111yescharacteristic
1386#103C22×D6111yescharacteristic
1387#103C22×D6111yescharacteristic
1388#102—611no—
1389#102—611no—
1390#102—611no—
1391#102—611no—
1392#102—611no—
1393#102—611no—
1394#102—611no—
1395#102—611no—
1396#102—611no—
1397#102—611no—
1398#102—611no—
1399#102—611no—
1400#102—611no—
1401#102—611no—
1402#102—611no—
1403#102—611no—
1404#102—611no—
1405#102—611no—
1406#102—611no—
1407#102—611no—
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102C22×D6111yescharacteristic
1415#102C22×D6111yescharacteristic
1416#102C22×D6111yescharacteristic
1417#102C22×D6111yescharacteristic
1418#102C22×D6111yescharacteristic
1419#102C22×D6111yescharacteristic
1420C22⋊C8—611no—
1421C22⋊C8—611no—
1422C22⋊C8—611no—
1423C22⋊C8—611no—
1424C22⋊C8—611no—
1425C22⋊C8—611no—
1426C22⋊C8C22×D6111yescharacteristic
1427C22⋊C8C22×D6111yescharacteristic
1428#97—611no—
1429#97—611no—
1430#97—611no—
1431#97C22×D6111yescharacteristic
1432C24—1221no—
1433C24—1221no—
1434C24—1221no—
1435C24—1221no—
1436C24—1221no—
1437C24—1221no—
1438#41—22no—
1439#41—22no—
1440#41—41no—
1441#41—41no—
1442#41—614no—
1443#41—1222no—
1444#41—1222no—
1445#41—1222no—
1446#41—1222no—
1447#41—1222no—
1448#41—1222no—
1449#41—1222no—
1450#41—1222no—
1451#41—1222no—
1452#41—2444no—
1453#41—2444no—
1454#41—2441no—
1455#41—2441no—
1456C2×Q8—611no—
1457C2×Q8—611no—
1458C2×Q8C23×D6111yescharacteristic
1459C2×Q8C23×D6111yescharacteristic
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—611no—
1467C2×D4—611no—
1468C2×D4—611no—
1469C2×D4—611no—
1470C2×D4—611no—
1471C2×D4—611no—
1472C2×D4—611no—
1473C2×D4—611no—
1474C2×D4—611no—
1475C2×D4—611no—
1476C2×D4—611no—
1477C2×D4—611no—
1478C2×D4—611no—
1479C2×D4—1222no—
1480C2×D4—1222no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—1221no—
1484C2×D4—1221no—
1485C2×D4—1221no—
1486C2×D4—1221no—
1487C2×D4—1221no—
1488C2×D4—1221no—
1489C2×D4—1222no—
1490C2×D4—1222no—
1491C2×D4—1222no—
1492C2×D4—1222no—
1493C2×D4—1221no—
1494C2×D4—1221no—
1495C2×D4—1221no—
1496C2×D4—1221no—
1497C2×D4—1221no—
1498C2×D4—1221no—
1499C2×D4—1221no—
1500C2×D4—1221no—
1501C2×D4—1222no—
1502C2×D4—1222no—
1503C2×D4—1221no—
1504C2×D4—1221no—
1505C2×D4—1221no—
1506C2×D4—1221no—
1507C2×D4—1221no—
1508C2×D4—1221no—
1509C2×D4—1221no—
1510C2×D4—1221no—
1511C2×D4—1221no—
1512C2×D4—1221no—
1513C2×D4—4882no—
1514C2×D4—4882no—
1515C2×D4—4882no—
1516C2×D4—4882no—
1517C2×D4—4882no—
1518C2×D4—4882no—
1519C2×D4—2441no—
1520C2×D4—2441no—
1521C2×D4—2444no—
1522C2×D4—2444no—
1523C2×D4—2441no—
1524C2×D4—2441no—
1525C2×D4—2444no—
1526C2×D4—2444no—
1527C2×D4—2444no—
1528C2×D4—2444no—
1529C2×D4D4×D6111yescharacteristic
1530C2×D4C23×D6111yescharacteristic
1531C2×D4C23×D6111yescharacteristic
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—21no—
1535C22×C4—611no—
1536C22×C4—611no—
1537C22×C4—611no—
1538C22×C4—611no—
1539C22×C4—611no—
1540C22×C4—1221no—
1541C22×C4—1221no—
1542C22×C4—1221no—
1543C22×C4—1221no—
1544C22×C4—1221no—
1545C22×C4—1221no—
1546C22×C4—1221no—
1547C22×C4—1221no—
1548C22×C4—1221no—
1549C22×C4—1221no—
1550C22×C4—1221no—
1551C22×C4—1221no—
1552C22×C4—1221no—
1553C22×C4C23×D6111yescharacteristic
1554C22×C4C23×D6111yescharacteristic
1555Q16—22no—
1556SD16—41no—
1557SD16—41no—
1558SD16—1222no—
1559SD16—1222no—
1560SD16—2441no—
1561SD16—2441no—
1562D8—1222no—
1563D8—2441no—
1564D8—2441no—
1565D8—2441no—
1566D8—2441no—
1567M16—41no—
1568M16—1222no—
1569M16—1222no—
1570M16—2441no—
1571M16—2441no—
1572M16—2441no—
1573C2×C8—41no—
1574C2×C8—611no—
1575C2×C8—611no—
1576C2×C8—611no—
1577C2×C8—611no—
1578C2×C8—1222no—
1579C2×C8—1222no—
1580C2×C8—2441no—
1581C2×C8—2441no—
1582C2×C8—2441no—
1583C2×C8C23×D6111yescharacteristic
1584C2×C8C23×D6111yescharacteristic
1585C2×C8C23×D6111yescharacteristic
1586C2×C8C23×D6111yescharacteristic
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—611no—
1595C4⋊C4—611no—
1596C4⋊C4—611no—
1597C4⋊C4—611no—
1598C4⋊C4—611no—
1599C4⋊C4—611no—
1600C4⋊C4—611no—
1601C4⋊C4—1221no—
1602C4⋊C4—1221no—
1603C4⋊C4—1221no—
1604C4⋊C4—1221no—
1605C4⋊C4—1221no—
1606C4⋊C4—1221no—
1607C4⋊C4—1221no—
1608C4⋊C4—1221no—
1609C4⋊C4—1221no—
1610C4⋊C4—1221no—
1611C4⋊C4—1221no—
1612C4⋊C4—1221no—
1613C4⋊C4—1221no—
1614C4⋊C4—1221no—
1615C4⋊C4—1221no—
1616C4⋊C4D4×D6111yescharacteristic
1617C4⋊C4C23×D6111yescharacteristic
1618C4⋊C4C23×D6111yescharacteristic
1619C4⋊C4C23×D6111yescharacteristic
1620C4⋊C4C23×D6111yescharacteristic
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—611no—
1627C22⋊C4—611no—
1628C22⋊C4—611no—
1629C22⋊C4—611no—
1630C22⋊C4—611no—
1631C22⋊C4—611no—
1632C22⋊C4—1221no—
1633C22⋊C4—1221no—
1634C22⋊C4—1221no—
1635C22⋊C4—1221no—
1636C22⋊C4—1221no—
1637C22⋊C4—1221no—
1638C22⋊C4—1221no—
1639C22⋊C4—1221no—
1640C22⋊C4—1221no—
1641C22⋊C4—1221no—
1642C22⋊C4—1221no—
1643C22⋊C4—1221no—
1644C22⋊C4—1221no—
1645C22⋊C4—1221no—
1646C22⋊C4—1221no—
1647C22⋊C4—1221no—
1648C22⋊C4—1221no—
1649C22⋊C4—1221no—
1650C22⋊C4—1221no—
1651C22⋊C4—1221no—
1652C22⋊C4—1221no—
1653C22⋊C4D4×D6111yescharacteristic
1654C22⋊C4D4×D6111yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42—611no—
1659C42—611no—
1660C42—611no—
1661C42—1221no—
1662C42—1221no—
1663C42—1221no—
1664C42—1221no—
1665C42—1221no—
1666C42—1221no—
1667C42—1221no—
1668C42C23×D6111yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—611no—
1672C23—611no—
1673C23—611no—
1674C23—1221no—
1675C23—1221no—
1676C23—1221no—
1677C23—1221no—
1678C23—4881no—
1679C23—4881no—
1680C23—4881no—
1681C23—4881no—
1682C23—4881no—
1683C23—4881no—
1684C23—4881no—
1685C23—4881no—
1686C23—4881no—
1687C23—4881no—
1688C23—4881no—
1689C23—4881no—
1690C23—2442no—
1691C23—2442no—
1692C23—2442no—
1693C23—2442no—
1694C23—2442no—
1695C23—2442no—
1696C23C2×D4×D6111yescharacteristic
1697C23C2×D4×D6111yescharacteristic
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—1222no—
1702Q8—1222no—
1703Q8#41×D6112yes—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—41no—
1709D4—42no—
1710D4—42no—
1711D4—42no—
1712D4—81no—
1713D4—81no—
1714D4—81no—
1715D4—612no—
1716D4—1222no—
1717D4—1222no—
1718D4—1224no—
1719D4—1222no—
1720D4—1222no—
1721D4—1222no—
1722D4—1222no—
1723D4—1221no—
1724D4—1221no—
1725D4—1221no—
1726D4—1221no—
1727D4—1221no—
1728D4—1221no—
1729D4—1221no—
1730D4—4881no—
1731D4—4881no—
1732D4—4881no—
1733D4—4881no—
1734D4—4881no—
1735D4—4881no—
1736D4—4881no—
1737D4—4881no—
1738D4—4881no—
1739D4—4881no—
1740D4—4881no—
1741D4—4881no—
1742D4—4881no—
1743D4—2441no—
1744D4—2442no—
1745D4—2442no—
1746D4—2442no—
1747D4—2442no—
1748D4—2442no—
1749D4—2442no—
1750D4—2442no—
1751D4—2442no—
1752D4—2441no—
1753D4—2441no—
1754D4—2442no—
1755D4—2442no—
1756D4—2442no—
1757D4—2442no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—81no—
1771C2×C4—611no—
1772C2×C4—612no—
1773C2×C4—612no—
1774C2×C4—611no—
1775C2×C4—611no—
1776C2×C4—611no—
1777C2×C4—611no—
1778C2×C4—1224no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—1221no—
1787C2×C4—4881no—
1788C2×C4—4881no—
1789C2×C4—4881no—
1790C2×C4—4881no—
1791C2×C4—4881no—
1792C2×C4—4881no—
1793C2×C4—4881no—
1794C2×C4—2441no—
1795C2×C4—2441no—
1796C2×C4—2442no—
1797C2×C4—2442no—
1798C2×C4—2442no—
1799C2×C4—2442no—
1800C2×C4—2442no—
1801C2×C4C2×D4×D6111yescharacteristic
1802C2×C4C2×D4×D6111yescharacteristic
1803C2×C4C2×D4×D6111yescharacteristic
1804C2×C4C2×D4×D6111yescharacteristic
1805C2×C4C24×D6111yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1221no—
1811C8—1221no—
1812C8—1221no—
1813C8—1221no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—612no—
1827C22—1221no—
1828C22—1221no—
1829C22—1222no—
1830C22—1221no—
1831C22—1221no—
1832C22—1221no—
1833C22—1221no—
1834C22—1221no—
1835C22—1221no—
1836C22—9762no—
1837C22—9762no—
1838C22—9762no—
1839C22—9762no—
1840C22—9762no—
1841C22—9762no—
1842C22—2441no—
1843C22—2441no—
1844C22—2441no—
1845C22—2441no—
1846C22—2441no—
1847C22—2441no—
1848C22—2441no—
1849C22—2441no—
1850C22—2441no—
1851C22—2441no—
1852C22—2441no—
1853C22C22×D4×D6111yescharacteristic
1854C4—21no—
1855C4—21no—
1856C4—22no—
1857C4—21no—
1858C4—21no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—612no—
1865C4—1221no—
1866C4—1221no—
1867C4—1221no—
1868C4—1221no—
1869C4—2441no—
1870C4—2441no—
1871C4—2441no—
1872C4—2441no—
1873C4C2×#41×D6111yescharacteristic
1874C4H(5,𝔽2)×D6111yescharacteristic
1875C2—41no—
1876C2—41no—
1877C2—81no—
1878C2—81no—
1879C2—1222no—
1880C2—4881no—
1881C2—4881no—
1882C2—4881no—
1883C2—2441no—
1884C2—2441no—
1885C2—2442no—
1886C2#546×D6111yescharacteristic
1887C2#2146059611yescharacteristic
1888C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3317C2
socleC22×C61C23×D4
hypercenter#3317D61
hypocenterC61#61223
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #21459733C2semidirect
2. #21459596C2semidirect
3. #21457963C2semidirect
4. #21457962C2semidirect
5. #21457959C2semidirect
6. #21457958C2semidirect
7. #21457950C2semidirect
8. #21457949C2semidirect
9. #21457938C2semidirect
10. #21457847C2semidirect
11. #21457846C2semidirect
12. #21457835C2semidirect
13. #21457834C2semidirect
14. #21457826C2semidirect
15. #21457825C2semidirect
16. #21457822C2semidirect
17. #21457821C2semidirect
18. #490×D61C2semidirect
19. #21455776C2semidirect
20. #21455772C2semidirect
21. #21455638C2semidirect
22. #21455494C2semidirect
23. #21455492C2semidirect
24. #21455296C2semidirect
25. #21455127C2semidirect
26. #21455127C2semidirect
27. #21454618C2semidirect
28. #21454533C2semidirect
29. #21454343C2semidirect
30. #21454341C2semidirect
31. C61×#3317C2semidirect
34. C2×#14519804C22semidirect
35. C2×#14519804C22semidirect
37. C2×#14519785C22semidirect
38. C2×#14519783C22semidirect
40. #16840465C22semidirect
42. #16840460C22semidirect
43. #16840458C22semidirect
46. #16840456C22semidirect
47. #16840454C22semidirect
48. #16840453C22semidirect
49. #16840446C22semidirect
63. #16840342C22semidirect
64. #16840342C22semidirect
75. #125×D61C22semidirect
76. #16840243C22semidirect
77. #16840242C22semidirect
79. C4×#11758226C22semidirect
80. #16840128C22semidirect
81. #16840127C22semidirect
82. #16840126C22semidirect
83. #16840125C22semidirect
84. #16840125C22semidirect
85. #16840125C22semidirect
86. #16840125C22semidirect
87. #16840088C22semidirect
88. #16840088C22semidirect
89. #16840087C22semidirect
90. #16840086C22semidirect
91. #16840085C22semidirect
92. #16840085C22semidirect
93. #16840083C22semidirect
94. #16840082C22semidirect
95. #16840081C22semidirect
96. #16840079C22semidirect
97. #16840077C22semidirect
98. #16840075C22semidirect
99. #16840074C22semidirect
100. #16840073C22semidirect
101. #16840071C22semidirect
102. #16840069C22semidirect
103. #16840067C22semidirect
104. #16840065C22semidirect
105. #16840063C22semidirect
106. #16840061C22semidirect
107. #16840059C22semidirect
108. #16840016C22semidirect
109. #16840015C22semidirect
110. #16840014C22semidirect
111. #16840013C22semidirect
112. #16840011C22semidirect
113. #16840010C22semidirect
114. #16840005C22semidirect
115. #16839999C22semidirect
116. #16839998C22semidirect
117. #16839997C22semidirect
118. #16839996C22semidirect
119. #16839994C22semidirect
120. #16839993C22semidirect
121. #16839988C22semidirect
122. #16839962C22semidirect
123. #16839960C22semidirect
124. #16839960C22semidirect
125. #16839958C22semidirect
126. #16839956C22semidirect
127. #16839956C22semidirect
128. #16839954C22semidirect
129. #16839923C22semidirect
130. #16839923C22semidirect
131. #16839912C22semidirect
132. #16839912C22semidirect
133. #16839911C22semidirect
134. #16839911C22semidirect
135. #16839910C22semidirect
136. #16839910C22semidirect
137. #16839907C22semidirect
138. #16839907C22semidirect
139. #16839898C22semidirect
140. #16839898C22semidirect
141. #16839897C22semidirect
142. #16839897C22semidirect
143. #16839875C22semidirect
144. #16839873C22semidirect
145. #16839869C22semidirect
146. #16839865C22semidirect
147. #16839865C22semidirect
148. #16839860C22semidirect
149. #16839860C22semidirect
150. #16839836C22semidirect
151. #16839835C22semidirect
152. #16839834C22semidirect
153. #16839833C22semidirect
154. #16839832C22semidirect
155. #16839831C22semidirect
156. #16839830C22semidirect
157. #16839803C22semidirect
158. #16839801C22semidirect
159. #16839797C22semidirect
160. #16839784C22semidirect
161. #16839768C22semidirect
162. #16839766C22semidirect
163. #16839765C22semidirect
164. #16839765C22semidirect
165. #16839765C22semidirect
166. #16839765C22semidirect
167. #16839763C22semidirect
170. #16839762C22semidirect
171. #16839762C22semidirect
172. #16839758C22semidirect
174. #16839757C22semidirect
175. #16839757C22semidirect
176. #16839757C22semidirect
177. C2×#14519699C22semidirect
178. C2×#14519697C22semidirect
179. #102×D61C22semidirect
180. #102×D61C22semidirect
181. #102×D61C22semidirect
182. #102×D61C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
185. #16839727C22semidirect
186. #16839727C22semidirect
187. #97×D61C22semidirect
188. C61×#552C22semidirect
190. C61×#490C22semidirect
191. C61×#482C22semidirect
192. C61×#481C22semidirect
193. C61×#479C22semidirect
194. C61×#468C22semidirect
195. C61×#465C22semidirect
196. C61×#460C22semidirect
197. C61×#452C22semidirect
198. C61×#452C22semidirect
199. C61×#441C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C61×#416C22semidirect
940. #3317D61semidirect
994. #552C2×D61semidirect
1033. #490C2×D61semidirect
1041. #482C2×D61semidirect
1045. #481C2×D61semidirect
1053. #479C2×D61semidirect
1065. #468C2×D61semidirect
1073. #465C2×D61semidirect
1077. #460C2×D61semidirect
1084. #452C2×D61semidirect
1085. #452C2×D61semidirect
1101. #441C2×D61semidirect
1113. #435C2×D61semidirect
1129. #417C2×D61semidirect
1135. #416C2×D61semidirect
1147. C61#61223semidirect

Maximal subgroups

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

subgroupindex
#214597332
#214595962
#214579632
#214579622
#214579592
#214579582
#214579502
#214579492
#214579382
#214578472
#214578462
#214578352
#214578342
#214578262
#214578252
#214578222
#214578212
#490×D612
#214557762
#214557722
#214556382
#214554942
#214554922
#214552962
#214551272
#214546182
#214545332
#214543432
#214543412
C61×#33172
#6122361