Finite Group Databasebeta

← D61×#3317 #30556723

Subgroups — D61×#3317 #30556723

Order 15616.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D61C211yesmaximal, characteristic, complemented
2#550×D61C211yesmaximal, characteristic
3#21457952C211yesmaximal, characteristic, complemented
4#21457951C211yesmaximal, characteristic, complemented
5#21457950C211yesmaximal, characteristic, complemented
6#21457949C211yesmaximal, characteristic, complemented
7#21457948C211yesmaximal, characteristic, complemented
8#21457947C211yesmaximal, characteristic, complemented
9#21457946C211yesmaximal, characteristic, complemented
10#21457945C211yesmaximal, characteristic, complemented
11#21457944C211yesmaximal, characteristic, complemented
12#21457943C211yesmaximal, characteristic, complemented
13#21457942C211yesmaximal, characteristic, complemented
14#21457941C211yesmaximal, characteristic, complemented
15#21457940C211yesmaximal, characteristic, complemented
16#21457939C211yesmaximal, characteristic, complemented
17#21457938C211yesmaximal, characteristic, complemented
18#490×D61C211yesmaximal, characteristic, complemented
19#481×D61C211yesmaximal, characteristic, complemented
20#482×D61C211yesmaximal, characteristic, complemented
21#479×D61C211yesmaximal, characteristic, complemented
22#468×D61C211yesmaximal, characteristic, complemented
23#465×D61C211yesmaximal, characteristic, complemented
24#460×D61C211yesmaximal, characteristic, complemented
25#452×D61C211yesmaximal, characteristic, complemented
26#452×D61C211yesmaximal, characteristic, complemented
27#441×D61C211yesmaximal, characteristic, complemented
28#435×D61C211yesmaximal, characteristic, complemented
29#417×D61C211yesmaximal, characteristic, complemented
30#416×D61C211yesmaximal, characteristic, complemented
31C61×#3317C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×Q16×D61C2211yescharacteristic
35C2×SD16×D61C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic
37C2×M16×D61C2211yescharacteristic
38C22×C8×D61C2211yescharacteristic
39#16840454C2211yescharacteristic, complemented
40#16840453C2211yescharacteristic, complemented
41#16840452C2211yescharacteristic, complemented
42#16840451C2211yescharacteristic, complemented
43#16840450C2211yescharacteristic, complemented
44#16840449—21no—
45#16840448—21no—
46#16840447C2211yescharacteristic, complemented
47#16840446C2211yescharacteristic, complemented
48#16840445—21no—
49#16840444—21no—
50#16840434C2211yescharacteristic
51#16840433—21no—
52#16840433C2211yescharacteristic
53#16840432—21no—
54#16840432C2211yescharacteristic
55#16840431C2211yescharacteristic
56#16840431C2211yescharacteristic
57#16840430—21no—
58#16840430—21no—
59#16840430C2211yescharacteristic
60#16840430C2211yescharacteristic
61#127×D61—21no—
62#127×D61C2211yescharacteristic
63#126×D61—21no—
64#125×D61—21no—
65#125×D61C2211yescharacteristic
66#123×D61—21no—
67C22⋊Q8×D61C2211yescharacteristic
68C22⋊Q8×D61C2211yescharacteristic
69#121×D61—21no—
70#121×D61—21no—
71#121×D61C2211yescharacteristic
72#121×D61C2211yescharacteristic
73C4×Q8×D61C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75C4×D4×D61—21no—
76C4×D4×D61C2211yescharacteristic
77#117×D61—21no—
78#117×D61C2211yescharacteristic
79C2×C4⋊C4×D61C2211yescharacteristic
80#16840128C2211yescharacteristic, complemented
81#16840127C2211yescharacteristic, complemented
82#16840126C2211yescharacteristic, complemented
83#16840125C2211yescharacteristic, complemented
84#16840125C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic, complemented
86#16840125C2211yescharacteristic, complemented
87#16840089C2211yescharacteristic, complemented
88#16840088C2211yescharacteristic, complemented
89#16840087C2211yescharacteristic, complemented
90#16840086C2211yescharacteristic, complemented
91#16840085C2211yescharacteristic, complemented
92#16840084C2211yescharacteristic, complemented
93#16840083C2211yescharacteristic, complemented
94#16840082C2211yescharacteristic, complemented
95#16840082C2211yescharacteristic, complemented
96#16840081C2211yescharacteristic, complemented
97#16840080C2211yescharacteristic, complemented
98#16840079C2211yescharacteristic, complemented
99#16840079C2211yescharacteristic, complemented
100#16840078C2211yescharacteristic, complemented
101#16840072C2211yescharacteristic, complemented
102#16840071C2211yescharacteristic, complemented
103#16840070C2211yescharacteristic, complemented
104#16840069C2211yescharacteristic, complemented
105#16840068C2211yescharacteristic, complemented
106#16840067C2211yescharacteristic, complemented
107#16840066C2211yescharacteristic, complemented
108#16840011C2211yescharacteristic, complemented
109#16840010C2211yescharacteristic, complemented
110#16840009C2211yescharacteristic, complemented
111#16840008C2211yescharacteristic, complemented
112#16840007C2211yescharacteristic, complemented
113#16840006C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16839994C2211yescharacteristic, complemented
116#16839993C2211yescharacteristic, complemented
117#16839992C2211yescharacteristic, complemented
118#16839991C2211yescharacteristic, complemented
119#16839990C2211yescharacteristic, complemented
120#16839989C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839963C2211yescharacteristic, complemented
123#16839962C2211yescharacteristic, complemented
124#16839961C2211yescharacteristic, complemented
125#16839961C2211yescharacteristic, complemented
126#16839960C2211yescharacteristic, complemented
127#16839960C2211yescharacteristic, complemented
128#16839959C2211yescharacteristic, complemented
129#16839927C2211yescharacteristic, complemented
130#16839927C2211yescharacteristic, complemented
131#16839926C2211yescharacteristic, complemented
132#16839926C2211yescharacteristic, complemented
133#16839925C2211yescharacteristic, complemented
134#16839925C2211yescharacteristic, complemented
135#16839924C2211yescharacteristic, complemented
136#16839924C2211yescharacteristic, complemented
137#16839923C2211yescharacteristic, complemented
138#16839923C2211yescharacteristic, complemented
139#16839922C2211yescharacteristic, complemented
140#16839922C2211yescharacteristic, complemented
141#16839921C2211yescharacteristic, complemented
142#16839921C2211yescharacteristic, complemented
143#16839870C2211yescharacteristic, complemented
144#16839869C2211yescharacteristic, complemented
145#16839868C2211yescharacteristic, complemented
146#16839867C2211yescharacteristic, complemented
147#16839867C2211yescharacteristic, complemented
148#16839866C2211yescharacteristic, complemented
149#16839866C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic, complemented
151#16839835C2211yescharacteristic, complemented
152#16839834C2211yescharacteristic, complemented
153#16839833C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155#16839831C2211yescharacteristic, complemented
156#16839830C2211yescharacteristic, complemented
157#107×D61C2211yescharacteristic
158#106×D61C2211yescharacteristic
159#106×D61C2211yescharacteristic
160C4⋊C8×D61C2211yescharacteristic
161#16839764C2211yescharacteristic, complemented
162#16839763C2211yescharacteristic, complemented
163#16839762C2211yescharacteristic, complemented
164#16839762C2211yescharacteristic, complemented
165#16839761C2211yescharacteristic, complemented
166#16839760C2211yescharacteristic, complemented
167#16839760C2211yescharacteristic, complemented
168#16839759C2211yescharacteristic, complemented
169#16839758C2211yescharacteristic, complemented
170#16839757C2211yescharacteristic, complemented
171#16839757C2211yescharacteristic, complemented
172#16839756C2211yescharacteristic, complemented
173#16839755C2211yescharacteristic, complemented
174#16839755C2211yescharacteristic, complemented
175#103×D61C2211yescharacteristic
176#103×D61C2211yescharacteristic
177#103×D61C2211yescharacteristic
178#103×D61C2211yescharacteristic
179#102×D61C2211yescharacteristic
180#102×D61C2211yescharacteristic
181#102×D61C2211yescharacteristic
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186C22⋊C8×D61C2211yescharacteristic
187#97×D61C2211yescharacteristic
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
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758222C2311yescharacteristic
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224C2311yescharacteristic
212C2×#11758224C2311yescharacteristic
213#41×D61—24no—
214#41×D61—24no—
215#41×D61—42no—
216#41×D61—42no—
217C2×Q8×D61C2311yescharacteristic
218C2×Q8×D61C2311yescharacteristic
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×D61D411yescharacteristic
226C2×D4×D61C2311yescharacteristic
227C2×D4×D61C2311yescharacteristic
228C22×C4×D61—21no—
229C22×C4×D61—21no—
230C22×C4×D61—21no—
231C22×C4×D61C2311yescharacteristic
232C22×C4×D61C2311yescharacteristic
233C2×Dic244C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758202C2311yescharacteristic
236Q16×D61—24no—
237C2×#11758190C2311yescharacteristic
238C2×#11758190C2311yescharacteristic
239C2×#11758200C2311yescharacteristic
240C2×#11758200C2311yescharacteristic
241C2×#11758201C2311yescharacteristic
242C2×#11758201C2311yescharacteristic
243SD16×D61—42no—
244SD16×D61—42no—
245C2×#11758194C2311yescharacteristic
246C2×#11758189C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248M16×D61—42no—
249C22×#92418C2311yescharacteristic
250C2×C8×D61—42no—
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254C2×C8×D61C2311yescharacteristic
255C2×C8×D61C2311yescharacteristic
256C2×C8×D61C2311yescharacteristic
257#14519774—21no—
258#14519774C2311yescharacteristic
259#14519773—21no—
260#14519773—21no—
261#14519773—21no—
262#14519773—21no—
263#14519773—21no—
264#14519773—21no—
265#14519773—21no—
266#14519773—21no—
267#14519773C2311yescharacteristic
268#14519773C2311yescharacteristic
269#14519772—21no—
270#14519772—21no—
271#14519772—21no—
272#14519771—21no—
273#14519770—21no—
274#14519770—21no—
275#14519770—21no—
276#14519769—21no—
277#14519769C2311yescharacteristic
278#14519768—21no—
279#14519768—21no—
280#14519768C2311yescharacteristic
281#14519768C2311yescharacteristic
282#14519767—21no—
283#14519767—21no—
284#14519767—21no—
285#14519767—21no—
286#14519767—21no—
287#14519767—21no—
288#14519762—21no—
289#14519762—21no—
290#14519761—21no—
291#14519760—21no—
292#14519759—21no—
293#14519759—21no—
294#14519758—21no—
295#14519757C2311yescharacteristic
296#14519757C2311yescharacteristic
297#14519756C2311yescharacteristic
298#14519756C2311yescharacteristic
299#14519755—21no—
300#14519755—21no—
301#14519754—21no—
302#14519754—21no—
303#14519753C2311yescharacteristic
304#14519753C2311yescharacteristic
305#14519752—21no—
306#14519752—21no—
307#14519752C2311yescharacteristic
308#14519752C2311yescharacteristic
309#14519751—21no—
310#14519751—21no—
311#14519751C2311yescharacteristic
312#14519751C2311yescharacteristic
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519749—21no—
323#14519749—21no—
324#14519749—21no—
325#14519748—21no—
326#14519748—21no—
327#14519748C2311yescharacteristic
328#14519748C2311yescharacteristic
329Q8×Dic61C2311yescharacteristic
330Q8×Dic61C2311yescharacteristic
331C4×Dic122—21no—
332C4×Dic122—21no—
333C4×Dic122C2311yescharacteristic
334C4×Dic122C2311yescharacteristic
335#14519742—21no—
336#14519742—21no—
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339C4×D244—21no—
340C4×D244C2311yescharacteristic
341D4×Dic61—21no—
342D4×Dic61D411yescharacteristic
343#14519739—21no—
344#14519739D411yescharacteristic
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61C2311yescharacteristic
348C4×C22⋊D61C2311yescharacteristic
349#14519737—21no—
350#14519737—21no—
351#14519737D411yescharacteristic
352#14519737D411yescharacteristic
353#14519736—21no—
354#14519736C2311yescharacteristic
355#14519735—21no—
356#14519735—21no—
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734—21no—
361#14519734—21no—
362#14519733—21no—
363#14519733—21no—
364#14519733—21no—
365C2×C4⋊Dic61C2311yescharacteristic
366C2×#11758196—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61D411yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C4⋊C4×D61C2311yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61D411yescharacteristic
388C22⋊C4×D61D411yescharacteristic
389C42×D61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
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×D61C2×D411yescharacteristic
490C23×D61C2×D411yescharacteristic
491#41×C61—22no—
492#41×C61—22no—
493#41×C61—41no—
494#41×C61—41no—
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61C2411yescharacteristic
510C22×C4×C61C2411yescharacteristic
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
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⋊D61C2×D411yescharacteristic
526C2×C22⋊D61C2×D411yescharacteristic
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61C2×D411yescharacteristic
531C22×Dic61C2×D411yescharacteristic
532#11758226—22no—
533#11758226—22no—
534#11758226—41no—
535#11758226—41no—
536Q8×D61—22no—
537Q8×D61—22no—
538Q8×D61—22no—
539Q8×D61#4114yes—
540#11758224—22no—
541#11758224—22no—
542#11758224—41no—
543#11758224—41no—
544#11758224—44no—
545#11758224—44no—
546D4×D61—22no—
547D4×D61—22no—
548D4×D61—22no—
549D4×D61—22no—
550D4×D61—42no—
551D4×D61—44no—
552D4×D61—44no—
553D4×D61—44no—
554D4×D61—82no—
555D4×D61—82no—
556D4×D61—82no—
557#11758222—22no—
558#11758222—22no—
559#11758222—44no—
560#11758222—44no—
561#11758222—41no—
562#11758222—41no—
563C2×D244—21no—
564C2×D244—21no—
565C2×D244—21no—
566C2×D244—21no—
567C2×D244—21no—
568C2×D244—21no—
569C2×D244C2×D411yescharacteristic
570C2×D244C2411yescharacteristic
571C2×D244C2411yescharacteristic
572C2×C4×D61—21no—
573C2×C4×D61—22no—
574C2×C4×D61—22no—
575C2×C4×D61—22no—
576C2×C4×D61—22no—
577C2×C4×D61—21no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—21no—
581C2×C4×D61—21no—
582C2×C4×D61—21no—
583C2×C4×D61—21no—
584C2×C4×D61—21no—
585C2×C4×D61—21no—
586C2×C4×D61—21no—
587C2×C4×D61—21no—
588C2×C4×D61—44no—
589C2×C4×D61—44no—
590C2×C4×D61—44no—
591C2×C4×D61C2×D411yescharacteristic
592C2×C4×D61C2×D411yescharacteristic
593C2×C4×D61C2×D411yescharacteristic
594C2×C4×D61C2×D411yescharacteristic
595C2×C4×D61C2×D411yescharacteristic
596C2×C4×D61C2×D411yescharacteristic
597C2×C4×D61C2411yescharacteristic
598C2×C4×D61C2411yescharacteristic
599C2×C4×D61C2411yescharacteristic
600C2×Dic122—21no—
601C2×Dic122—21no—
602C2×Dic122C2411yescharacteristic
603C2×Dic122C2411yescharacteristic
604Q16×C61—22no—
605SD16×C61—41no—
606SD16×C61—41no—
607M16×C61—41no—
608C2×C8×C61—41no—
609C2×C8×C61C2411yescharacteristic
610C2×C8×C61C2411yescharacteristic
611C2×C8×C61C2411yescharacteristic
612C2×C8×C61C2411yescharacteristic
613C4⋊C4×C61—21no—
614C4⋊C4×C61—21no—
615C4⋊C4×C61—21no—
616C4⋊C4×C61—21no—
617C4⋊C4×C61—21no—
618C4⋊C4×C61—21no—
619C4⋊C4×C61—21no—
620C4⋊C4×C61C2×D411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C4⋊C4×C61C2411yescharacteristic
623C4⋊C4×C61C2411yescharacteristic
624C4⋊C4×C61C2411yescharacteristic
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61C2×D411yescharacteristic
631C22⋊C4×C61C2×D411yescharacteristic
632C42×C61—21no—
633C42×C61—21no—
634C42×C61—21no—
635C42×C61C2411yescharacteristic
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61—21no—
639C22⋊Dic61—21no—
640C22⋊Dic61—21no—
641C22⋊Dic61C2×D411yescharacteristic
642C22⋊Dic61C2×D411yescharacteristic
643#11758202—22no—
644#11758202—22no—
645#11758201—41no—
646#11758201—41no—
647#11758200—41no—
648#11758200—41no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198C2×D411yescharacteristic
660#11758198C2×D411yescharacteristic
661#11758198C2×D411yescharacteristic
662#11758198C2×D411yescharacteristic
663C4⋊Dic61—21no—
664C4⋊Dic61—21no—
665C4⋊Dic61—21no—
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61—21no—
669C4⋊Dic61—21no—
670C4⋊Dic61C2×D411yescharacteristic
671C4⋊Dic61C2411yescharacteristic
672C4⋊Dic61C2411yescharacteristic
673C4⋊Dic61C2411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196—21no—
693#11758196C2×D411yescharacteristic
694#11758196C2×D411yescharacteristic
695C4×Dic61—21no—
696C4×Dic61—21no—
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
713Dic244—22no—
714#11758190—41no—
715#11758190—41no—
716#11758189—41no—
717#11758189—41no—
718C8×D61—22no—
719C8×D61—22no—
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—22no—
729C22×D61—22no—
730C22×D61—22no—
731C22×D61—22no—
732C22×D61—22no—
733C22×D61—22no—
734C22×D61—21no—
735C22×D61—21no—
736C22×D61—42no—
737C22×D61—42no—
738C22×D61—42no—
739C22×D61—42no—
740C22×D61—42no—
741C22×D61—42no—
742C22×D61C22×D411yescharacteristic
743C22×D61C22×D411yescharacteristic
744C22×D61C22×D411yescharacteristic
745Q8×C61—21no—
746Q8×C61—21no—
747Q8×C61—21no—
748Q8×C61C2×#4112yes—
749D4×C61—21no—
750D4×C61—21no—
751D4×C61—21no—
752D4×C61—21no—
753D4×C61—41no—
754D4×C61—42no—
755D4×C61—42no—
756D4×C61—42no—
757D4×C61—81no—
758D4×C61—81no—
759D4×C61—81no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—42no—
771C2×C4×C61—42no—
772C2×C4×C61—42no—
773C2×C4×C61C22×D411yescharacteristic
774C2×C4×C61C22×D411yescharacteristic
775C2×C4×C61C22×D411yescharacteristic
776C2×C4×C61C22×D411yescharacteristic
777C2×C4×C61C2511yescharacteristic
778C22⋊D61—41no—
779C22⋊D61—41no—
780C22⋊D61—42no—
781C22⋊D61—42no—
782C22⋊D61—42no—
783C22⋊D61—42no—
784C22⋊D61—42no—
785C22⋊D61—42no—
786C22⋊D61—42no—
787C22⋊D61—42no—
788C22⋊D61—81no—
789C22⋊D61—81no—
790C22⋊D61—81no—
791C22⋊D61—81no—
792C22⋊D61—81no—
793C22⋊D61—81no—
794C2×Dic61—21no—
795C2×Dic61—22no—
796C2×Dic61—22no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—42no—
803C2×Dic61—42no—
804C2×Dic61—42no—
805C2×Dic61C22×D411yescharacteristic
806C2×Dic61C22×D411yescharacteristic
807C2×Dic61C22×D411yescharacteristic
808C2×Dic61C22×D411yescharacteristic
809C2×Dic61C22×D411yescharacteristic
810D244—21no—
811D244—21no—
812D244—21no—
813D244—21no—
814D244—41no—
815D244—42no—
816D244—42no—
817D244—42no—
818D244—81no—
819D244—81no—
820D244—81no—
821C4×D61—22no—
822C4×D61—22no—
823C4×D61—24no—
824C4×D61—22no—
825C4×D61—22no—
826C4×D61—21no—
827C4×D61—21no—
828C4×D61—21no—
829C4×D61—21no—
830C4×D61—22no—
831C4×D61—22no—
832C4×D61—42no—
833C4×D61—42no—
834C4×D61—42no—
835C4×D61—42no—
836C4×D61—42no—
837C4×D61—42no—
838C4×D61—42no—
839C4×D61—42no—
840C4×D61—42no—
841C4×D61—42no—
842C4×D61—42no—
843C4×D61C2×#4112yes—
844C4×D61H(5,𝔽2)12yes—
845Dic122—21no—
846Dic122—24no—
847Dic122—21no—
848Dic122—21no—
849Dic122—42no—
850Dic122C2×#4112yes—
851C8×C61—21no—
852C8×C61—21no—
853C8×C61—21no—
854C8×C61—21no—
855#92418—21no—
856#92418—21no—
857#92418—21no—
858#92418—21no—
859C2×#3317—611nomaximal, Sylow
860C22×C61—21no—
861C22×C61—21no—
862C22×C61—21no—
863C22×C61—21no—
864C22×C61—21no—
865C22×C61—21no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61C23×D411yescharacteristic
873C2×D61—21no—
874C2×D61—21no—
875C2×D61—21no—
876C2×D61—21no—
877C2×D61—21no—
878C2×D61—21no—
879C2×D61—44no—
880C2×D61—44no—
881C2×D61—41no—
882C2×D61—41no—
883C2×D61—41no—
884C2×D61—41no—
885C2×D61—41no—
886C2×D61—41no—
887C2×D61—84no—
888C2×D61—84no—
889C2×D61#54612yes—
890C2×D61#57512yes—
891C2×D61#57712yes—
892C4×C61—22no—
893C4×C61—21no—
894C4×C61—21no—
895C4×C61—21no—
896C4×C61—21no—
897C4×C61—41no—
898C4×C61—41no—
899C4×C61—41no—
900C4×C61—41no—
901C4×C61—41no—
902C4×C61C22×#4111yescharacteristic
903C4×C61C2×H(5,𝔽2)11yescharacteristic
904Dic61—22no—
905Dic61—21no—
906Dic61—21no—
907Dic61—21no—
908Dic61—21no—
909Dic61—41no—
910Dic61—41no—
911Dic61—41no—
912Dic61—41no—
913Dic61—41no—
914Dic61#54612yes—
915C2×#552—611no—
916C2×#550—611no—
917#3317—611no—
918#3317—611no—
919#3317—611no—
920#3317—611no—
921#3317—611no—
922#3317—611no—
923#3317—611no—
924#3317—611no—
925#3317—611no—
926#3317—611no—
927#3317—611no—
928#3317—611no—
929#3317—611no—
930#3317—611no—
931#3317—611no—
932#3317D6111yescharacteristic, direct product factor
933C2×#490—611no—
934C2×#481—611no—
935C2×#482—611no—
936C2×#479—611no—
937C2×#468—611no—
938C2×#465—611no—
939C2×#460—611no—
940C2×#452—611no—
941C2×#452—611no—
942C2×#441—611no—
943C2×#435—611no—
944C2×#417—611no—
945C2×#416—611no—
946C2×C61—41no—
947C2×C61—41no—
948C2×C61—81no—
949C2×C61—81no—
950C2×C61C2×#54611yescharacteristic
951C2×C61C2×#57511yescharacteristic
952C2×C61C2×#57711yescharacteristic
953D61—41no—
954D61—41no—
955D61—81no—
956D61—81no—
957D61#331714yesdirect product factor
958C22×#41—611no—
959C22×#41—611no—
960C22×Q16—611no—
961C22×SD16—611no—
962C22×SD16—611no—
963C22×M16—611no—
964C23×C8—611no—
965#552—611no—
966#552—611no—
967#552—611no—
968#552—611no—
969#552—611no—
970#552—611no—
971#552—611no—
972#552—1221no—
973#552—1221no—
974#552—1221no—
975#552—1221no—
976#552C2×D6111yescharacteristic, complemented
977#550—611no—
978#550—611no—
979#550—611no—
980#550—611no—
981#550—611no—
982#550—611no—
983#550—611no—
984#550—1221no—
985#550—1221no—
986#550—1221no—
987#550—1221no—
988#550C2×D6111yescharacteristic
989C2×#127—611no—
990C2×#127—1221no—
991C2×#126—1221no—
992C2×#125—611no—
993C2×#125—1221no—
994C2×#123—1221no—
995C2×C22⋊Q8—611no—
996C2×C22⋊Q8—611no—
997C2×#121—611no—
998C2×#121—611no—
999C2×#121—1221no—
1000C2×#121—1221no—
1001C2×C4×Q8—611no—
1002C2×C4×Q8—611no—
1003C2×C4×D4—611no—
1004C2×C4×D4—1221no—
1005C2×#117—611no—
1006C2×#117—1221no—
1007C22×C4⋊C4—611no—
1008#490—611no—
1009#490—611no—
1010#490—611no—
1011#490—611no—
1012#490—611no—
1013#490—611no—
1014#490—611no—
1015#490C2×D6111yescharacteristic, complemented
1016#482—611no—
1017#482—611no—
1018#482—611no—
1019#482—611no—
1020#482—611no—
1021#482—611no—
1022#482—611no—
1023#482C2×D6111yescharacteristic, complemented
1024#481—611no—
1025#481—611no—
1026#481—611no—
1027#481—611no—
1028#481—611no—
1029#481—611no—
1030#481—611no—
1031#481C2×D6111yescharacteristic, complemented
1032#479—611no—
1033#479—611no—
1034#479—611no—
1035#479—611no—
1036#479—611no—
1037#479—611no—
1038#479—611no—
1039#479C2×D6111yescharacteristic, complemented
1040#468—611no—
1041#468—611no—
1042#468—611no—
1043#468—611no—
1044#468—611no—
1045#468—611no—
1046#468—611no—
1047#468C2×D6111yescharacteristic, complemented
1048#465—611no—
1049#465—611no—
1050#465—611no—
1051#465—611no—
1052#465—611no—
1053#465—611no—
1054#465—611no—
1055#465C2×D6111yescharacteristic, complemented
1056#460—611no—
1057#460—611no—
1058#460—611no—
1059#460—611no—
1060#460—611no—
1061#460—611no—
1062#460—611no—
1063#460C2×D6111yescharacteristic, complemented
1064#452—611no—
1065#452—611no—
1066#452—611no—
1067#452—611no—
1068#452—611no—
1069#452—611no—
1070#452—611no—
1071#452—611no—
1072#452—611no—
1073#452—611no—
1074#452—611no—
1075#452—611no—
1076#452—611no—
1077#452—611no—
1078#452C2×D6111yescharacteristic, complemented
1079#452C2×D6111yescharacteristic, complemented
1080#441—611no—
1081#441—611no—
1082#441—611no—
1083#441—611no—
1084#441—611no—
1085#441—611no—
1086#441—611no—
1087#441C2×D6111yescharacteristic, complemented
1088#435—611no—
1089#435—611no—
1090#435—611no—
1091#435—611no—
1092#435—611no—
1093#435—611no—
1094#435—611no—
1095#435C2×D6111yescharacteristic, complemented
1096C2×#107—611no—
1097C2×#106—611no—
1098C2×#106—611no—
1099C2×C4⋊C8—611no—
1100#417—611no—
1101#417—611no—
1102#417—611no—
1103#417—611no—
1104#417—611no—
1105#417—611no—
1106#417—611no—
1107#417C2×D6111yescharacteristic, complemented
1108#416—611no—
1109#416—611no—
1110#416—611no—
1111#416—611no—
1112#416—611no—
1113#416—611no—
1114#416—611no—
1115#416C2×D6111yescharacteristic, complemented
1116C2×#103—611no—
1117C2×#103—611no—
1118C2×#103—611no—
1119C2×#103—611no—
1120C2×#102—611no—
1121C2×#102—611no—
1122C2×#102—611no—
1123C2×#102—611no—
1124C2×#102—611no—
1125C2×#102—611no—
1126C2×C22⋊C8—611no—
1127C2×C22⋊C8—611no—
1128C2×#97—611no—
1129C61C2×#331711yescharacteristic, complemented, Sylow
1130C2×#41—611no—
1131C2×#41—611no—
1132C2×#41—611no—
1133C2×#41—611no—
1134C2×#41—611no—
1135C2×#41—611no—
1136C2×#41—1221no—
1137C2×#41—1221no—
1138C2×#41—1221no—
1139C2×#41—1221no—
1140C2×#41—1224no—
1141C2×#41—1224no—
1142C2×#41—2442no—
1143C2×#41—2442no—
1144C2×#41C22×D6111yescharacteristic
1145C2×#41C22×D6111yescharacteristic
1146C22×Q8—611no—
1147C22×Q8—611no—
1148C22×D4—611no—
1149C22×D4—611no—
1150C22×D4—611no—
1151C22×D4—1221no—
1152C22×D4—1221no—
1153C22×D4—1221no—
1154C22×D4—1221no—
1155C22×D4—1221no—
1156C22×D4—1221no—
1157C23×C4—611no—
1158C23×C4—611no—
1159C23×C4—1221no—
1160C23×C4—1221no—
1161C23×C4—1221no—
1162C2×Q16—611no—
1163C2×Q16—611no—
1164C2×Q16—611no—
1165C2×Q16—1224no—
1166C2×Q16C22×D6111yescharacteristic
1167C2×SD16—611no—
1168C2×SD16—611no—
1169C2×SD16—611no—
1170C2×SD16—611no—
1171C2×SD16—611no—
1172C2×SD16—611no—
1173C2×SD16—2442no—
1174C2×SD16—2442no—
1175C2×SD16C22×D6111yescharacteristic
1176C2×SD16C22×D6111yescharacteristic
1177C2×M16—611no—
1178C2×M16—611no—
1179C2×M16—611no—
1180C2×M16—2442no—
1181C2×M16C22×D6111yescharacteristic
1182C22×C8—611no—
1183C22×C8—611no—
1184C22×C8—611no—
1185C22×C8—611no—
1186C22×C8—611no—
1187C22×C8—611no—
1188C22×C8—611no—
1189C22×C8—2442no—
1190C22×C8C22×D6111yescharacteristic
1191#127—21no—
1192#127—611no—
1193#127—611no—
1194#127—611no—
1195#127—1221no—
1196#127—1221no—
1197#127—1221no—
1198#127—1221no—
1199#127—1221no—
1200#127—1221no—
1201#127—1221no—
1202#127—1221no—
1203#127—1221no—
1204#127C22×D6111yescharacteristic
1205#126—21no—
1206#126—1221no—
1207#126—1221no—
1208#126—1221no—
1209#126—1221no—
1210#126—1221no—
1211#126—1221no—
1212#126—1221no—
1213#125—21no—
1214#125—611no—
1215#125—611no—
1216#125—611no—
1217#125—1221no—
1218#125—1221no—
1219#125—1221no—
1220#125—1221no—
1221#125—1221no—
1222#125—1221no—
1223#125—1221no—
1224#125—1221no—
1225#125—1221no—
1226#125C22×D6111yescharacteristic
1227#123—21no—
1228#123—1221no—
1229#123—1221no—
1230#123—1221no—
1231#123—1221no—
1232#123—1221no—
1233#123—1221no—
1234#123—1221no—
1235C22⋊Q8—611no—
1236C22⋊Q8—611no—
1237C22⋊Q8—611no—
1238C22⋊Q8—611no—
1239C22⋊Q8—611no—
1240C22⋊Q8—611no—
1241C22⋊Q8—1221no—
1242C22⋊Q8—1221no—
1243C22⋊Q8—1221no—
1244C22⋊Q8—1221no—
1245C22⋊Q8C22×D6111yescharacteristic
1246C22⋊Q8C22×D6111yescharacteristic
1247#121—21no—
1248#121—21no—
1249#121—611no—
1250#121—611no—
1251#121—611no—
1252#121—611no—
1253#121—611no—
1254#121—611no—
1255#121—1221no—
1256#121—1221no—
1257#121—1221no—
1258#121—1221no—
1259#121—1221no—
1260#121—1221no—
1261#121—1221no—
1262#121—1221no—
1263#121—1221no—
1264#121—1221no—
1265#121—1221no—
1266#121—1221no—
1267#121—1221no—
1268#121—1221no—
1269#121—1221no—
1270#121—1221no—
1271#121—1221no—
1272#121—1221no—
1273#121C22×D6111yescharacteristic
1274#121C22×D6111yescharacteristic
1275C4×Q8—611no—
1276C4×Q8—611no—
1277C4×Q8—611no—
1278C4×Q8—611no—
1279C4×Q8—611no—
1280C4×Q8—611no—
1281C4×Q8—1221no—
1282C4×Q8—1221no—
1283C4×Q8—1221no—
1284C4×Q8—1221no—
1285C4×Q8C22×D6111yescharacteristic
1286C4×Q8C22×D6111yescharacteristic
1287C4×D4—21no—
1288C4×D4—611no—
1289C4×D4—611no—
1290C4×D4—611no—
1291C4×D4—611no—
1292C4×D4—611no—
1293C4×D4—611no—
1294C4×D4—611no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4—1221no—
1300C4×D4—1221no—
1301C4×D4—1221no—
1302C4×D4C22×D6111yescharacteristic
1303#117—21no—
1304#117—611no—
1305#117—611no—
1306#117—611no—
1307#117—1221no—
1308#117—1221no—
1309#117—1221no—
1310#117—1221no—
1311#117—1221no—
1312#117—1221no—
1313#117—1221no—
1314#117—1221no—
1315#117—1221no—
1316#117C22×D6111yescharacteristic
1317C2×C4⋊C4—611no—
1318C2×C4⋊C4—611no—
1319C2×C4⋊C4—611no—
1320C2×C4⋊C4—611no—
1321C2×C4⋊C4—611no—
1322C2×C4⋊C4—611no—
1323C2×C4⋊C4—611no—
1324C2×C4⋊C4—611no—
1325C2×C4⋊C4—1221no—
1326C2×C4⋊C4—1221no—
1327C2×C4⋊C4—1221no—
1328C2×C4⋊C4—1221no—
1329C2×C4⋊C4—1221no—
1330C2×C4⋊C4—1221no—
1331C2×C4⋊C4—1221no—
1332C2×C4⋊C4—1221no—
1333C2×C4⋊C4—1221no—
1334C2×C4⋊C4C22×D6111yescharacteristic
1335C2×C22⋊C4—611no—
1336C2×C22⋊C4—611no—
1337C2×C22⋊C4—1221no—
1338C2×C22⋊C4—1221no—
1339C2×C22⋊C4—1221no—
1340C2×C22⋊C4—1221no—
1341C2×C22⋊C4—1221no—
1342C2×C42—611no—
1343C2×C42—1221no—
1344C2×C42—1221no—
1345C2×C42—1221no—
1346#107—611no—
1347#107—611no—
1348#107—611no—
1349#107C22×D6111yescharacteristic
1350#106—611no—
1351#106—611no—
1352#106—611no—
1353#106—611no—
1354#106—611no—
1355#106—611no—
1356#106C22×D6111yescharacteristic
1357#106C22×D6111yescharacteristic
1358C4⋊C8—611no—
1359C4⋊C8—611no—
1360C4⋊C8—611no—
1361C4⋊C8C22×D6111yescharacteristic
1362#103—611no—
1363#103—611no—
1364#103—611no—
1365#103—611no—
1366#103—611no—
1367#103—611no—
1368#103—611no—
1369#103—611no—
1370#103—611no—
1371#103—611no—
1372#103—611no—
1373#103—611no—
1374#103C22×D6111yescharacteristic
1375#103C22×D6111yescharacteristic
1376#103C22×D6111yescharacteristic
1377#103C22×D6111yescharacteristic
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
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#102C22×D6111yescharacteristic
1397#102C22×D6111yescharacteristic
1398#102C22×D6111yescharacteristic
1399#102C22×D6111yescharacteristic
1400#102C22×D6111yescharacteristic
1401#102C22×D6111yescharacteristic
1402C22⋊C8—611no—
1403C22⋊C8—611no—
1404C22⋊C8—611no—
1405C22⋊C8—611no—
1406C22⋊C8—611no—
1407C22⋊C8—611no—
1408C22⋊C8C22×D6111yescharacteristic
1409C22⋊C8C22×D6111yescharacteristic
1410#97—611no—
1411#97—611no—
1412#97—611no—
1413#97C22×D6111yescharacteristic
1414C24—611no—
1415C24—611no—
1416C24—1221no—
1417C24—1221no—
1418#41—22no—
1419#41—22no—
1420#41—41no—
1421#41—41no—
1422#41—1222no—
1423#41—1222no—
1424#41—1222no—
1425#41—1222no—
1426#41—1222no—
1427#41—1222no—
1428#41—2441no—
1429#41—2441no—
1430#41—2444no—
1431#41—2444no—
1432#41—2441no—
1433#41—2441no—
1434#41—2444no—
1435#41—2444no—
1436#41—2441no—
1437#41—2441no—
1438C2×Q8—614no—
1439C2×Q8—611no—
1440C2×Q8—611no—
1441C2×Q8—1221no—
1442C2×Q8—1221no—
1443C2×Q8—1222no—
1444C2×Q8—1222no—
1445C2×Q8—1222no—
1446C2×Q8C23×D6111yescharacteristic
1447C2×Q8C23×D6111yescharacteristic
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—611no—
1455C2×D4—611no—
1456C2×D4—611no—
1457C2×D4—611no—
1458C2×D4—611no—
1459C2×D4—1221no—
1460C2×D4—1221no—
1461C2×D4—1221no—
1462C2×D4—1221no—
1463C2×D4—1222no—
1464C2×D4—1222no—
1465C2×D4—1222no—
1466C2×D4—1222no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—1221no—
1473C2×D4—1221no—
1474C2×D4—1221no—
1475C2×D4—1221no—
1476C2×D4—1221no—
1477C2×D4—1221no—
1478C2×D4—1221no—
1479C2×D4—1221no—
1480C2×D4—1221no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—4882no—
1484C2×D4—4882no—
1485C2×D4—4882no—
1486C2×D4—2442no—
1487C2×D4—2444no—
1488C2×D4—2444no—
1489C2×D4—2444no—
1490C2×D4D4×D6111yescharacteristic
1491C2×D4C23×D6111yescharacteristic
1492C2×D4C23×D6111yescharacteristic
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—611no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—611no—
1500C22×C4—611no—
1501C22×C4—611no—
1502C22×C4—611no—
1503C22×C4—611no—
1504C22×C4—611no—
1505C22×C4—611no—
1506C22×C4—611no—
1507C22×C4—1222no—
1508C22×C4—1222no—
1509C22×C4—1222no—
1510C22×C4—1222no—
1511C22×C4—1221no—
1512C22×C4—1221no—
1513C22×C4—1221no—
1514C22×C4—1221no—
1515C22×C4—1221no—
1516C22×C4—1221no—
1517C22×C4—1221no—
1518C22×C4—1221no—
1519C22×C4—1221no—
1520C22×C4—1221no—
1521C22×C4—1221no—
1522C22×C4—1221no—
1523C22×C4—1221no—
1524C22×C4—1221no—
1525C22×C4—1221no—
1526C22×C4—2444no—
1527C22×C4—2444no—
1528C22×C4—2444no—
1529C22×C4C23×D6111yescharacteristic
1530C22×C4C23×D6111yescharacteristic
1531Q16—22no—
1532Q16—1222no—
1533Q16—1222no—
1534Q16—1222no—
1535SD16—41no—
1536SD16—41no—
1537SD16—2441no—
1538SD16—2441no—
1539SD16—2441no—
1540SD16—2441no—
1541SD16—2441no—
1542SD16—2441no—
1543M16—41no—
1544M16—2441no—
1545M16—2441no—
1546M16—2441no—
1547C2×C8—41no—
1548C2×C8—611no—
1549C2×C8—611no—
1550C2×C8—611no—
1551C2×C8—611no—
1552C2×C8—1222no—
1553C2×C8—1222no—
1554C2×C8—1222no—
1555C2×C8—1222no—
1556C2×C8—2441no—
1557C2×C8—2441no—
1558C2×C8—2441no—
1559C2×C8C23×D6111yescharacteristic
1560C2×C8C23×D6111yescharacteristic
1561C2×C8C23×D6111yescharacteristic
1562C2×C8C23×D6111yescharacteristic
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—611no—
1571C4⋊C4—611no—
1572C4⋊C4—611no—
1573C4⋊C4—611no—
1574C4⋊C4—611no—
1575C4⋊C4—611no—
1576C4⋊C4—611no—
1577C4⋊C4—1221no—
1578C4⋊C4—1221no—
1579C4⋊C4—1221no—
1580C4⋊C4—1221no—
1581C4⋊C4—1221no—
1582C4⋊C4—1221no—
1583C4⋊C4—1221no—
1584C4⋊C4—1221no—
1585C4⋊C4—1221no—
1586C4⋊C4—1221no—
1587C4⋊C4—1221no—
1588C4⋊C4—1221no—
1589C4⋊C4—1221no—
1590C4⋊C4—1221no—
1591C4⋊C4—1221no—
1592C4⋊C4—1221no—
1593C4⋊C4—1221no—
1594C4⋊C4—1221no—
1595C4⋊C4—1221no—
1596C4⋊C4—1221no—
1597C4⋊C4—1221no—
1598C4⋊C4—1221no—
1599C4⋊C4—1221no—
1600C4⋊C4—1221no—
1601C4⋊C4—1221no—
1602C4⋊C4D4×D6111yescharacteristic
1603C4⋊C4C23×D6111yescharacteristic
1604C4⋊C4C23×D6111yescharacteristic
1605C4⋊C4C23×D6111yescharacteristic
1606C4⋊C4C23×D6111yescharacteristic
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—611no—
1613C22⋊C4—611no—
1614C22⋊C4—611no—
1615C22⋊C4—611no—
1616C22⋊C4—611no—
1617C22⋊C4—611no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4—1221no—
1624C22⋊C4—1221no—
1625C22⋊C4—1221no—
1626C22⋊C4—1221no—
1627C22⋊C4—1221no—
1628C22⋊C4—1221no—
1629C22⋊C4—1221no—
1630C22⋊C4—1221no—
1631C22⋊C4—1221no—
1632C22⋊C4—1221no—
1633C22⋊C4D4×D6111yescharacteristic
1634C22⋊C4D4×D6111yescharacteristic
1635C42—21no—
1636C42—21no—
1637C42—21no—
1638C42—611no—
1639C42—611no—
1640C42—611no—
1641C42—1221no—
1642C42—1221no—
1643C42—1221no—
1644C42—1221no—
1645C42—1221no—
1646C42—1221no—
1647C42—1221no—
1648C42—1221no—
1649C42—1221no—
1650C42C23×D6111yescharacteristic
1651C23—21no—
1652C23—21no—
1653C23—611no—
1654C23—611no—
1655C23—611no—
1656C23—1222no—
1657C23—1222no—
1658C23—1222no—
1659C23—1222no—
1660C23—1222no—
1661C23—1222no—
1662C23—1221no—
1663C23—1221no—
1664C23—2442no—
1665C23—2442no—
1666C23—2442no—
1667C23—2442no—
1668C23—2442no—
1669C23—2442no—
1670C23C2×D4×D6111yescharacteristic
1671C23C2×D4×D6111yescharacteristic
1672Q8—21no—
1673Q8—21no—
1674Q8—21no—
1675Q8—612no—
1676Q8—1224no—
1677Q8—1221no—
1678Q8—1221no—
1679Q8—1221no—
1680Q8—2442no—
1681Q8#41×D6112yes—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—41no—
1687D4—42no—
1688D4—42no—
1689D4—42no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—1221no—
1694D4—1221no—
1695D4—1221no—
1696D4—1221no—
1697D4—4881no—
1698D4—4881no—
1699D4—4881no—
1700D4—4881no—
1701D4—4881no—
1702D4—4881no—
1703D4—4881no—
1704D4—4881no—
1705D4—4881no—
1706D4—2441no—
1707D4—2442no—
1708D4—2442no—
1709D4—2442no—
1710D4—2442no—
1711D4—2442no—
1712D4—2441no—
1713D4—2441no—
1714D4—2442no—
1715D4—2442no—
1716D4—2442no—
1717D4—2442no—
1718D4—2442no—
1719D4—2442no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—42no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—611no—
1734C2×C4—612no—
1735C2×C4—612no—
1736C2×C4—611no—
1737C2×C4—611no—
1738C2×C4—611no—
1739C2×C4—611no—
1740C2×C4—1222no—
1741C2×C4—1222no—
1742C2×C4—1222no—
1743C2×C4—1222no—
1744C2×C4—1222no—
1745C2×C4—1222no—
1746C2×C4—1224no—
1747C2×C4—1222no—
1748C2×C4—1222no—
1749C2×C4—1221no—
1750C2×C4—1221no—
1751C2×C4—1221no—
1752C2×C4—1221no—
1753C2×C4—1221no—
1754C2×C4—1221no—
1755C2×C4—1221no—
1756C2×C4—1221no—
1757C2×C4—1221no—
1758C2×C4—1221no—
1759C2×C4—2442no—
1760C2×C4—2442no—
1761C2×C4—2442no—
1762C2×C4—2442no—
1763C2×C4—2442no—
1764C2×C4—2442no—
1765C2×C4—2442no—
1766C2×C4—2442no—
1767C2×C4—2442no—
1768C2×C4—2442no—
1769C2×C4—2442no—
1770C2×C4—2442no—
1771C2×C4—2442no—
1772C2×C4—2442no—
1773C2×C4C2×D4×D6111yescharacteristic
1774C2×C4C2×D4×D6111yescharacteristic
1775C2×C4C2×D4×D6111yescharacteristic
1776C2×C4C2×D4×D6111yescharacteristic
1777C2×C4C24×D6111yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—1221no—
1783C8—1221no—
1784C8—1221no—
1785C8—1221no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—612no—
1799C22—612no—
1800C22—612no—
1801C22—1221no—
1802C22—1221no—
1803C22—1221no—
1804C22—1221no—
1805C22—1221no—
1806C22—1221no—
1807C22—4884no—
1808C22—4884no—
1809C22—2444no—
1810C22—2444no—
1811C22—2441no—
1812C22—2441no—
1813C22—2441no—
1814C22—2441no—
1815C22—2441no—
1816C22—2441no—
1817C22C22×D4×D6111yescharacteristic
1818C4—21no—
1819C4—21no—
1820C4—22no—
1821C4—21no—
1822C4—21no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—612no—
1829C4—1221no—
1830C4—1221no—
1831C4—1222no—
1832C4—1221no—
1833C4—1221no—
1834C4—2441no—
1835C4—2441no—
1836C4—2441no—
1837C4—2441no—
1838C4—2441no—
1839C4C2×#41×D6111yescharacteristic
1840C4H(5,𝔽2)×D6111yescharacteristic
1841C2—41no—
1842C2—41no—
1843C2—81no—
1844C2—81no—
1845C2—614no—
1846C2—4881no—
1847C2—4881no—
1848C2—2441no—
1849C2—2441no—
1850C2#546×D6111yescharacteristic
1851C2#575×D6111yescharacteristic
1852C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3317C2
socleC22×C61C23×D4
prime radical#550×D61C2
hypercenter#3317D61
hypocenterC61C2×#3317
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. #552×D61C2semidirect
3. #21457952C2semidirect
4. #21457951C2semidirect
5. #21457950C2semidirect
6. #21457949C2semidirect
7. #21457948C2semidirect
8. #21457947C2semidirect
9. #21457946C2semidirect
10. #21457945C2semidirect
11. #21457944C2semidirect
12. #21457943C2semidirect
13. #21457942C2semidirect
14. #21457941C2semidirect
15. #21457940C2semidirect
16. #21457939C2semidirect
17. #21457938C2semidirect
18. #490×D61C2semidirect
19. #481×D61C2semidirect
20. #482×D61C2semidirect
21. #479×D61C2semidirect
22. #468×D61C2semidirect
23. #465×D61C2semidirect
24. #460×D61C2semidirect
25. #452×D61C2semidirect
26. #452×D61C2semidirect
27. #441×D61C2semidirect
28. #435×D61C2semidirect
29. #417×D61C2semidirect
30. #416×D61C2semidirect
31. C61×#3317C2semidirect
39. #16840454C22semidirect
40. #16840453C22semidirect
41. #16840452C22semidirect
42. #16840451C22semidirect
43. #16840450C22semidirect
46. #16840447C22semidirect
47. #16840446C22semidirect
80. #16840128C22semidirect
81. #16840127C22semidirect
82. #16840126C22semidirect
83. #16840125C22semidirect
84. #16840125C22semidirect
85. #16840125C22semidirect
86. #16840125C22semidirect
87. #16840089C22semidirect
88. #16840088C22semidirect
89. #16840087C22semidirect
90. #16840086C22semidirect
91. #16840085C22semidirect
92. #16840084C22semidirect
93. #16840083C22semidirect
94. #16840082C22semidirect
95. #16840082C22semidirect
96. #16840081C22semidirect
97. #16840080C22semidirect
98. #16840079C22semidirect
99. #16840079C22semidirect
100. #16840078C22semidirect
101. #16840072C22semidirect
102. #16840071C22semidirect
103. #16840070C22semidirect
104. #16840069C22semidirect
105. #16840068C22semidirect
106. #16840067C22semidirect
107. #16840066C22semidirect
108. #16840011C22semidirect
109. #16840010C22semidirect
110. #16840009C22semidirect
111. #16840008C22semidirect
112. #16840007C22semidirect
113. #16840006C22semidirect
114. #16840005C22semidirect
115. #16839994C22semidirect
116. #16839993C22semidirect
117. #16839992C22semidirect
118. #16839991C22semidirect
119. #16839990C22semidirect
120. #16839989C22semidirect
121. #16839988C22semidirect
122. #16839963C22semidirect
123. #16839962C22semidirect
124. #16839961C22semidirect
125. #16839961C22semidirect
126. #16839960C22semidirect
127. #16839960C22semidirect
128. #16839959C22semidirect
129. #16839927C22semidirect
130. #16839927C22semidirect
131. #16839926C22semidirect
132. #16839926C22semidirect
133. #16839925C22semidirect
134. #16839925C22semidirect
135. #16839924C22semidirect
136. #16839924C22semidirect
137. #16839923C22semidirect
138. #16839923C22semidirect
139. #16839922C22semidirect
140. #16839922C22semidirect
141. #16839921C22semidirect
142. #16839921C22semidirect
143. #16839870C22semidirect
144. #16839869C22semidirect
145. #16839868C22semidirect
146. #16839867C22semidirect
147. #16839867C22semidirect
148. #16839866C22semidirect
149. #16839866C22semidirect
150. #16839836C22semidirect
151. #16839835C22semidirect
152. #16839834C22semidirect
153. #16839833C22semidirect
154. #16839832C22semidirect
155. #16839831C22semidirect
156. #16839830C22semidirect
161. #16839764C22semidirect
162. #16839763C22semidirect
163. #16839762C22semidirect
164. #16839762C22semidirect
165. #16839761C22semidirect
166. #16839760C22semidirect
167. #16839760C22semidirect
168. #16839759C22semidirect
169. #16839758C22semidirect
170. #16839757C22semidirect
171. #16839757C22semidirect
172. #16839756C22semidirect
173. #16839755C22semidirect
174. #16839755C22semidirect
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
932. #3317D61direct (N × H)
957. D61#3317direct (N × H)
976. #552C2×D61semidirect
1015. #490C2×D61semidirect
1023. #482C2×D61semidirect
1031. #481C2×D61semidirect
1039. #479C2×D61semidirect
1047. #468C2×D61semidirect
1055. #465C2×D61semidirect
1063. #460C2×D61semidirect
1078. #452C2×D61semidirect
1079. #452C2×D61semidirect
1087. #441C2×D61semidirect
1095. #435C2×D61semidirect
1107. #417C2×D61semidirect
1115. #416C2×D61semidirect
1129. C61C2×#3317semidirect

Maximal subgroups

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

subgroupindex
#552×D612
#550×D612
#214579522
#214579512
#214579502
#214579492
#214579482
#214579472
#214579462
#214579452
#214579442
#214579432
#214579422
#214579412
#214579402
#214579392
#214579382
#490×D612
#481×D612
#482×D612
#479×D612
#468×D612
#465×D612
#460×D612
#452×D612
#441×D612
#435×D612
#417×D612
#416×D612
C61×#33172
C2×#331761