Finite Group Databasebeta

← D61×#3300 #30556412

Subgroups — D61×#3300 #30556412

Order 15616.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D61C211yesmaximal, characteristic, complemented
2#548×D61C211yesmaximal, characteristic
3#21457713C211yesmaximal, characteristic, complemented
4#21457712C211yesmaximal, characteristic, complemented
5#21457711C211yesmaximal, characteristic, complemented
6#21457710C211yesmaximal, characteristic, complemented
7#21457709C211yesmaximal, characteristic, complemented
8#21457708C211yesmaximal, characteristic, complemented
9#21457707C211yesmaximal, characteristic, complemented
10#21457706C211yesmaximal, characteristic, complemented
11#21457705C211yesmaximal, characteristic, complemented
12#21457704C211yesmaximal, characteristic, complemented
13#21457703C211yesmaximal, characteristic, complemented
14#21457702C211yesmaximal, characteristic, complemented
15#21457701C211yesmaximal, characteristic, complemented
16#21457700C211yesmaximal, characteristic, complemented
17#21457699C211yesmaximal, characteristic, complemented
18#488×D61C211yesmaximal, characteristic, complemented
19#485×D61C211yesmaximal, characteristic, complemented
20#480×D61C211yesmaximal, characteristic, complemented
21#479×D61C211yesmaximal, characteristic, complemented
22#467×D61C211yesmaximal, characteristic, complemented
23#465×D61C211yesmaximal, characteristic, complemented
24#464×D61C211yesmaximal, characteristic, complemented
25#452×D61C211yesmaximal, characteristic, complemented
26#451×D61C211yesmaximal, characteristic, complemented
27C4×Q16×D61C211yesmaximal, characteristic, complemented
28C8×D4×D61C211yesmaximal, characteristic, complemented
29#416×D61C211yesmaximal, characteristic, complemented
30C2×#103×D61C211yesmaximal, characteristic, complemented
31C61×#3300C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C22×Q8×D61C2211yescharacteristic
34C2×Q16×D61C2211yescharacteristic
35C2×Q16×D61C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic
37C22×C8×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#16840424C2211yescharacteristic
51#16840423C2211yescharacteristic
52#16840422—21no—
53#16840422C2211yescharacteristic
54#16840421—21no—
55#16840421C2211yescharacteristic
56#16840420—21no—
57#16840420C2211yescharacteristic
58#16840419C2211yescharacteristic
59#16840418—21no—
60#16840418C2211yescharacteristic
61#126×D61—21no—
62#125×D61—21no—
63#125×D61C2211yescharacteristic
64#124×D61—21no—
65#124×D61C2211yescharacteristic
66#123×D61—21no—
67C22⋊Q8×D61—21no—
68C22⋊Q8×D61C2211yescharacteristic
69C22⋊Q8×D61C2211yescharacteristic
70C22⋊Q8×D61C2211yescharacteristic
71#121×D61—21no—
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#16840119C2211yescharacteristic, complemented
81#16840118C2211yescharacteristic, complemented
82#16840118C2211yescharacteristic, complemented
83#16840117C2211yescharacteristic, complemented
84#16840116C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840115C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840103C2211yescharacteristic, complemented
91#16840102C2211yescharacteristic, complemented
92#16840101C2211yescharacteristic, complemented
93#16840100C2211yescharacteristic, complemented
94#16840077C2211yescharacteristic, complemented
95#16840077C2211yescharacteristic, complemented
96#16840076C2211yescharacteristic, complemented
97#16840075C2211yescharacteristic, complemented
98#16840074C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840073C2211yescharacteristic, complemented
101#16840072C2211yescharacteristic, complemented
102#16840071C2211yescharacteristic, complemented
103#16840070C2211yescharacteristic, complemented
104#16840069C2211yescharacteristic, complemented
105#16840068C2211yescharacteristic, complemented
106#16840067C2211yescharacteristic, complemented
107#16840066C2211yescharacteristic, complemented
108#16840004C2211yescharacteristic, complemented
109#16840003C2211yescharacteristic, complemented
110#16840002C2211yescharacteristic, complemented
111#16840002C2211yescharacteristic, complemented
112#16840001C2211yescharacteristic, complemented
113#16840001C2211yescharacteristic, complemented
114#16840000C2211yescharacteristic, complemented
115#16839994C2211yescharacteristic, complemented
116#16839993C2211yescharacteristic, complemented
117#16839992C2211yescharacteristic, complemented
118#16839991C2211yescharacteristic, complemented
119#16839990C2211yescharacteristic, complemented
120#16839989C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839987C2211yescharacteristic, complemented
123#16839986C2211yescharacteristic, complemented
124#16839985C2211yescharacteristic, complemented
125#16839984C2211yescharacteristic, complemented
126#16839983C2211yescharacteristic, complemented
127#16839982C2211yescharacteristic, complemented
128#16839981C2211yescharacteristic, complemented
129#16839927C2211yescharacteristic, complemented
130#16839926C2211yescharacteristic, complemented
131#16839925C2211yescharacteristic, complemented
132#16839924C2211yescharacteristic, complemented
133#16839923C2211yescharacteristic, complemented
134#16839922C2211yescharacteristic, complemented
135#16839921C2211yescharacteristic, complemented
136#16839920C2211yescharacteristic, complemented
137#16839919C2211yescharacteristic, complemented
138#16839919C2211yescharacteristic, complemented
139#16839918C2211yescharacteristic, complemented
140#16839917C2211yescharacteristic, complemented
141#16839916C2211yescharacteristic, complemented
142#16839916C2211yescharacteristic, complemented
143C4×Dic244C2211yescharacteristic, complemented
144Q16×Dic61C2211yescharacteristic, complemented
145#16839856C2211yescharacteristic, complemented
146C4×#11758202C2211yescharacteristic, complemented
147C4×#11758202C2211yescharacteristic, complemented
148#16839854C2211yescharacteristic, complemented
149#16839854C2211yescharacteristic, complemented
150C8×D244C2211yescharacteristic, complemented
151D4×#92418C2211yescharacteristic, complemented
152#16839827C2211yescharacteristic, complemented
153C8×C22⋊D61C2211yescharacteristic, complemented
154C8×C22⋊D61C2211yescharacteristic, complemented
155#16839825C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#107×D61C2211yescharacteristic
158#107×D61C2211yescharacteristic
159#106×D61C2211yescharacteristic
160C4⋊C8×D61C2211yescharacteristic
161#16839759C2211yescharacteristic, complemented
162#16839758C2211yescharacteristic, complemented
163#16839757C2211yescharacteristic, complemented
164#16839757C2211yescharacteristic, complemented
165#16839756C2211yescharacteristic, complemented
166#16839755C2211yescharacteristic, complemented
167#16839755C2211yescharacteristic, complemented
168C2×#14519702C2211yescharacteristic, complemented
169C2×#14519701C2211yescharacteristic, complemented
170C2×#14519700C2211yescharacteristic, complemented
171#103×D61C2211yescharacteristic
172#103×D61C2211yescharacteristic
173#103×D61C2211yescharacteristic
174#103×D61C2211yescharacteristic
175#103×D61C2211yescharacteristic
176#103×D61C2211yescharacteristic
177#103×D61C2211yescharacteristic
178#103×D61C2211yescharacteristic, complemented
179#103×D61C2211yescharacteristic, complemented
180#103×D61C2211yescharacteristic, complemented
181#103×D61C2211yescharacteristic, complemented
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186C22⋊C8×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic
188C61×#552C2211yescharacteristic, complemented
189C61×#548C2211yescharacteristic
190C61×#488C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#451C2211yescharacteristic, complemented
199C4×Q16×C61C2211yescharacteristic, complemented
200C8×D4×C61C2211yescharacteristic, complemented
201C61×#416C2211yescharacteristic, complemented
202C2×#103×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208#41×D61—24no—
209#41×D61—42no—
210C22×Dic122—21no—
211C22×Dic122C2311yescharacteristic
212C2×Q8×D61—21no—
213C2×Q8×D61—21no—
214C2×Q8×D61—24no—
215C2×Q8×D61—42no—
216C2×Q8×D61C2311yescharacteristic
217C2×Q8×D61C2311yescharacteristic
218C2×Q8×D61C2311yescharacteristic
219C2×Q8×D61C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C2×D4×D61—21no—
222C2×D4×D61—21no—
223C2×D4×D61D411yescharacteristic
224C2×D4×D61C2311yescharacteristic
225C22×C4×D61—21no—
226C22×C4×D61—21no—
227C22×C4×D61—21no—
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230C2×Dic244C2311yescharacteristic
231C2×Dic244C2311yescharacteristic
232C2×#11758202C2311yescharacteristic
233C2×#11758202C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758202C2311yescharacteristic
236Q16×D61—24no—
237Q16×D61—42no—
238C2×#11758190C2311yescharacteristic
239C2×#11758200C2311yescharacteristic
240C2×#11758201C2311yescharacteristic
241SD16×D61—42no—
242C22×#92418C2311yescharacteristic
243C22×#92418C2311yescharacteristic
244C2×C8×D61—42no—
245C2×C8×D61—42no—
246C2×C8×D61C2311yescharacteristic
247C2×C8×D61C2311yescharacteristic
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519771—21no—
258#14519770—21no—
259#14519770—21no—
260#14519770—21no—
261#14519769—21no—
262#14519769C2311yescharacteristic
263#14519768—21no—
264#14519768—21no—
265#14519768C2311yescharacteristic
266#14519768C2311yescharacteristic
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519767—21no—
273#14519766—21no—
274#14519766C2311yescharacteristic
275#14519765—21no—
276#14519765C2311yescharacteristic
277#14519764—21no—
278#14519764C2311yescharacteristic
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519762—21no—
286#14519762—21no—
287#14519761—21no—
288#14519760—21no—
289#14519759—21no—
290#14519759—21no—
291#14519758—21no—
292#14519757—21no—
293#14519757C2311yescharacteristic
294#14519757C2311yescharacteristic
295#14519757C2311yescharacteristic
296#14519756—21no—
297#14519756C2311yescharacteristic
298#14519756C2311yescharacteristic
299#14519756C2311yescharacteristic
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519755—21no—
304#14519755—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519753—21no—
311#14519753C2311yescharacteristic
312#14519753C2311yescharacteristic
313#14519753C2311yescharacteristic
314#14519752—21no—
315#14519752C2311yescharacteristic
316#14519751—21no—
317#14519751C2311yescharacteristic
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519749—21no—
322#14519749—21no—
323#14519749—21no—
324#14519748—21no—
325#14519748C2311yescharacteristic
326Q8×Dic61C2311yescharacteristic
327Q8×Dic61C2311yescharacteristic
328C4×Dic122—21no—
329C4×Dic122—21no—
330C4×Dic122C2311yescharacteristic
331C4×Dic122C2311yescharacteristic
332#14519742—21no—
333#14519742—21no—
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336C4×D244—21no—
337C4×D244C2311yescharacteristic
338D4×Dic61—21no—
339D4×Dic61D411yescharacteristic
340#14519739—21no—
341#14519739D411yescharacteristic
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61C2311yescharacteristic
345C4×C22⋊D61C2311yescharacteristic
346#14519737—21no—
347#14519737—21no—
348#14519737D411yescharacteristic
349#14519737D411yescharacteristic
350#14519736—21no—
351#14519736C2311yescharacteristic
352#14519735—21no—
353#14519735—21no—
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519734—21no—
357#14519734—21no—
358#14519734—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362C2×C4⋊Dic61C2311yescharacteristic
363C2×#11758196—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—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×D61D411yescharacteristic
374C4⋊C4×D61C2311yescharacteristic
375C4⋊C4×D61C2311yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C4⋊C4×D61C2311yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
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#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519699C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441C4×#92418C2311yescharacteristic
442C8×Dic61C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C22×Q8×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C22×C8×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451#126×C61—21no—
452#125×C61—21no—
453#125×C61C2311yescharacteristic
454#124×C61—21no—
455#124×C61C2311yescharacteristic
456#123×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461#121×C61—21no—
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#107×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486C4×C8×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61C2×D411yescharacteristic
489C23×D61C2×D411yescharacteristic
490#41×C61—22no—
491#41×C61—41no—
492C2×Q8×C61—21no—
493C2×Q8×C61—22no—
494C2×Q8×C61—41no—
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61C2×D411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61C2411yescharacteristic
506C22×C4×C61C2411yescharacteristic
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61C2×D411yescharacteristic
513C2×C22⋊D61C2×D411yescharacteristic
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61C2×D411yescharacteristic
518C22×Dic61C2×D411yescharacteristic
519#11758226—22no—
520#11758226—41no—
521Q8×D61—22no—
522Q8×D61—22no—
523Q8×D61—22no—
524Q8×D61—22no—
525Q8×D61—22no—
526Q8×D61—22no—
527Q8×D61—22no—
528Q8×D61—41no—
529Q8×D61—41no—
530Q8×D61—44no—
531Q8×D61—44no—
532Q8×D61#4114yes—
533#11758224—22no—
534#11758224—41no—
535#11758224—44no—
536D4×D61—24no—
537D4×D61—22no—
538D4×D61—22no—
539D4×D61—44no—
540D4×D61—44no—
541#11758222—22no—
542#11758222—44no—
543#11758222—41no—
544C2×D244—21no—
545C2×D244—21no—
546C2×D244C2×D411yescharacteristic
547C2×D244C2411yescharacteristic
548C2×C4×D61—21no—
549C2×C4×D61—22no—
550C2×C4×D61—22no—
551C2×C4×D61—22no—
552C2×C4×D61—22no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—44no—
566C2×C4×D61—44no—
567C2×C4×D61—44no—
568C2×C4×D61C2×D411yescharacteristic
569C2×C4×D61C2×D411yescharacteristic
570C2×C4×D61C2×D411yescharacteristic
571C2×C4×D61C2×D411yescharacteristic
572C2×C4×D61C2×D411yescharacteristic
573C2×C4×D61C2×D411yescharacteristic
574C2×C4×D61C2411yescharacteristic
575C2×C4×D61C2411yescharacteristic
576C2×C4×D61C2411yescharacteristic
577C2×Dic122—21no—
578C2×Dic122—22no—
579C2×Dic122—21no—
580C2×Dic122—21no—
581C2×Dic122—21no—
582C2×Dic122—21no—
583C2×Dic122—21no—
584C2×Dic122—41no—
585C2×Dic122—44no—
586C2×Dic122C2411yescharacteristic
587C2×Dic122C2411yescharacteristic
588C2×Dic122C2411yescharacteristic
589Q16×C61—22no—
590Q16×C61—41no—
591SD16×C61—41no—
592C2×C8×C61—41no—
593C2×C8×C61—41no—
594C2×C8×C61C2411yescharacteristic
595C2×C8×C61C2411yescharacteristic
596C2×C8×C61C2411yescharacteristic
597C2×C8×C61C2411yescharacteristic
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61C2×D411yescharacteristic
607C4⋊C4×C61C2411yescharacteristic
608C4⋊C4×C61C2411yescharacteristic
609C4⋊C4×C61C2411yescharacteristic
610C4⋊C4×C61C2411yescharacteristic
611C22⋊C4×C61—21no—
612C22⋊C4×C61—21no—
613C22⋊C4×C61—21no—
614C22⋊C4×C61—21no—
615C22⋊C4×C61—21no—
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61C2×D411yescharacteristic
619C22⋊C4×C61C2×D411yescharacteristic
620C42×C61—21no—
621C42×C61—21no—
622C42×C61—21no—
623C42×C61C2411yescharacteristic
624C22⋊Dic61—21no—
625C22⋊Dic61—21no—
626C22⋊Dic61—21no—
627C22⋊Dic61—21no—
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61C2×D411yescharacteristic
632C22⋊Dic61C2×D411yescharacteristic
633#11758202—22no—
634#11758202—22no—
635#11758202—41no—
636#11758202—41no—
637#11758201—41no—
638#11758200—41no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198C2×D411yescharacteristic
654#11758198C2×D411yescharacteristic
655#11758198C2×D411yescharacteristic
656#11758198C2×D411yescharacteristic
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61—21no—
661C4⋊Dic61—21no—
662C4⋊Dic61—21no—
663C4⋊Dic61—21no—
664C4⋊Dic61—21no—
665C4⋊Dic61C2×D411yescharacteristic
666C4⋊Dic61C2411yescharacteristic
667C4⋊Dic61C2411yescharacteristic
668C4⋊Dic61C2411yescharacteristic
669C4⋊Dic61C2411yescharacteristic
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
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#11758196C2×D411yescharacteristic
691#11758196C2×D411yescharacteristic
692C4×Dic61—21no—
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2×D411yescharacteristic
703C4×Dic61C2411yescharacteristic
704C2×#92418—41no—
705C2×#92418—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710Dic244—22no—
711Dic244—41no—
712#11758190—41no—
713C8×D61—22no—
714C8×D61—22no—
715C8×D61—22no—
716C8×D61—22no—
717C8×D61—41no—
718C8×D61—41no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61C22×D411yescharacteristic
723C23×C61C22×D411yescharacteristic
724C22×D61—22no—
725C22×D61—22no—
726C22×D61—22no—
727C22×D61—22no—
728C22×D61—22no—
729C22×D61—21no—
730C22×D61—42no—
731C22×D61—42no—
732C22×D61—42no—
733C22×D61#13514yes—
734C22×D61C22×D411yescharacteristic
735C22×D61C22×D411yescharacteristic
736C22×D61C22×D411yescharacteristic
737Q8×C61—21no—
738Q8×C61—21no—
739Q8×C61—21no—
740Q8×C61—21no—
741Q8×C61—21no—
742Q8×C61—42no—
743Q8×C61C2×#4112yes—
744D4×C61—22no—
745D4×C61—21no—
746D4×C61—21no—
747D4×C61—42no—
748D4×C61—42no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—42no—
761C2×C4×C61—42no—
762C2×C4×C61—42no—
763C2×C4×C61C22×D411yescharacteristic
764C2×C4×C61C22×D411yescharacteristic
765C2×C4×C61C22×D411yescharacteristic
766C2×C4×C61C22×D411yescharacteristic
767C2×C4×C61C2511yescharacteristic
768C22⋊D61—22no—
769C22⋊D61—22no—
770C22⋊D61—42no—
771C22⋊D61—42no—
772C22⋊D61—42no—
773C22⋊D61—42no—
774C22⋊D61—42no—
775C2×Dic61—21no—
776C2×Dic61—22no—
777C2×Dic61—22no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—42no—
785C2×Dic61—42no—
786C2×Dic61—42no—
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792D244—22no—
793D244—21no—
794D244—21no—
795D244—42no—
796D244—42no—
797C4×D61—22no—
798C4×D61—22no—
799C4×D61—24no—
800C4×D61—22no—
801C4×D61—22no—
802C4×D61—21no—
803C4×D61—21no—
804C4×D61—21no—
805C4×D61—21no—
806C4×D61—22no—
807C4×D61—22no—
808C4×D61—42no—
809C4×D61—42no—
810C4×D61—42no—
811C4×D61—42no—
812C4×D61—42no—
813C4×D61—42no—
814C4×D61—42no—
815C4×D61—42no—
816C4×D61—42no—
817C4×D61—42no—
818C4×D61—42no—
819C4×D61—42no—
820C4×D61C2×#4112yes—
821C4×D61H(5,𝔽2)12yes—
822Dic122—21no—
823Dic122—24no—
824Dic122—21no—
825Dic122—21no—
826Dic122—21no—
827Dic122—21no—
828Dic122—42no—
829Dic122—42no—
830Dic122—42no—
831Dic122—42no—
832Dic122—42no—
833Dic122C2×#4112yes—
834C8×C61—21no—
835C8×C61—21no—
836C8×C61—21no—
837C8×C61—21no—
838#92418—21no—
839#92418—21no—
840#92418—21no—
841#92418—21no—
842C2×#3300—611nomaximal, Sylow
843C22×C61—21no—
844C22×C61—21no—
845C22×C61—21no—
846C22×C61—21no—
847C22×C61—21no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61C2×#13512yes—
852C22×C61C23×D411yescharacteristic
853C2×D61—21no—
854C2×D61—21no—
855C2×D61—28no—
856C2×D61—21no—
857C2×D61—21no—
858C2×D61—21no—
859C2×D61—44no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—84no—
864C2×D61#54612yes—
865C2×D61C2×#13512yes—
866C2×D61C2×#13512yes—
867C2×D61#57812yes—
868C4×C61—22no—
869C4×C61—21no—
870C4×C61—21no—
871C4×C61—21no—
872C4×C61—21no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61—41no—
879C4×C61C22×#4111yescharacteristic
880C4×C61C2×H(5,𝔽2)11yescharacteristic
881Dic61—22no—
882Dic61—21no—
883Dic61—21no—
884Dic61—21no—
885Dic61—21no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891Dic61—41no—
892Dic61#54612yes—
893C2×#552—611no—
894C2×#548—611no—
895#3300—611no—
896#3300—611no—
897#3300—611no—
898#3300—611no—
899#3300—611no—
900#3300—611no—
901#3300—611no—
902#3300—611no—
903#3300—611no—
904#3300—611no—
905#3300—611no—
906#3300—611no—
907#3300—611no—
908#3300—611no—
909#3300—611no—
910#3300D6111yescharacteristic, direct product factor
911C2×#488—611no—
912C2×#485—611no—
913C2×#480—611no—
914C2×#479—611no—
915C2×#467—611no—
916C2×#465—611no—
917C2×#464—611no—
918C2×#452—611no—
919C2×#451—611no—
920C2×C4×Q16—611no—
921C2×C8×D4—611no—
922C2×#416—611no—
923C22×#103—611no—
924C2×C61—22no—
925C2×C61—41no—
926C2×C61—81no—
927C2×C61C2×#54611yescharacteristic
928C2×C61C22×#13511yescharacteristic
929C2×C61C2×#57811yescharacteristic
930D61—22no—
931D61—41no—
932D61—81no—
933D61#330014yesdirect product factor
934C22×#41—611no—
935C23×Q8—611no—
936C22×Q16—611no—
937C22×Q16—611no—
938C22×SD16—611no—
939C23×C8—611no—
940C23×C8—611no—
941#552—611no—
942#552—611no—
943#552—611no—
944#552—611no—
945#552—611no—
946#552—611no—
947#552—611no—
948#552—1221no—
949#552—1221no—
950#552—1221no—
951#552—1221no—
952#552C2×D6111yescharacteristic, complemented
953#548—611no—
954#548—611no—
955#548—611no—
956#548—611no—
957#548—611no—
958#548—611no—
959#548—611no—
960#548—1221no—
961#548—1221no—
962#548—1221no—
963#548—1221no—
964#548C2×D6111yescharacteristic
965C2×#126—1221no—
966C2×#125—611no—
967C2×#125—1221no—
968C2×#124—611no—
969C2×#124—1221no—
970C2×#123—1221no—
971C2×C22⋊Q8—611no—
972C2×C22⋊Q8—611no—
973C2×C22⋊Q8—611no—
974C2×C22⋊Q8—1221no—
975C2×#121—611no—
976C2×#121—1221no—
977C2×C4×Q8—611no—
978C2×C4×Q8—611no—
979C2×C4×D4—611no—
980C2×C4×D4—1221no—
981C2×#117—611no—
982C2×#117—1221no—
983C22×C4⋊C4—611no—
984#488—611no—
985#488—611no—
986#488—611no—
987#488—611no—
988#488—611no—
989#488—611no—
990#488—611no—
991#488C2×D6111yescharacteristic, complemented
992#485—611no—
993#485—611no—
994#485—611no—
995#485—611no—
996#485—611no—
997#485—611no—
998#485—611no—
999#485C2×D6111yescharacteristic, complemented
1000#480—611no—
1001#480—611no—
1002#480—611no—
1003#480—611no—
1004#480—611no—
1005#480—611no—
1006#480—611no—
1007#480C2×D6111yescharacteristic, complemented
1008#479—611no—
1009#479—611no—
1010#479—611no—
1011#479—611no—
1012#479—611no—
1013#479—611no—
1014#479—611no—
1015#479C2×D6111yescharacteristic, complemented
1016#467—611no—
1017#467—611no—
1018#467—611no—
1019#467—611no—
1020#467—611no—
1021#467—611no—
1022#467—611no—
1023#467C2×D6111yescharacteristic, complemented
1024#465—611no—
1025#465—611no—
1026#465—611no—
1027#465—611no—
1028#465—611no—
1029#465—611no—
1030#465—611no—
1031#465C2×D6111yescharacteristic, complemented
1032#464—611no—
1033#464—611no—
1034#464—611no—
1035#464—611no—
1036#464—611no—
1037#464—611no—
1038#464—611no—
1039#464C2×D6111yescharacteristic, complemented
1040#452—611no—
1041#452—611no—
1042#452—611no—
1043#452—611no—
1044#452—611no—
1045#452—611no—
1046#452—611no—
1047#452C2×D6111yescharacteristic, complemented
1048#451—611no—
1049#451—611no—
1050#451—611no—
1051#451—611no—
1052#451—611no—
1053#451—611no—
1054#451—611no—
1055#451C2×D6111yescharacteristic, complemented
1056C4×Q16—611no—
1057C4×Q16—611no—
1058C4×Q16—611no—
1059C4×Q16—611no—
1060C4×Q16—611no—
1061C4×Q16—611no—
1062C4×Q16—611no—
1063C4×Q16C2×D6111yescharacteristic, complemented
1064C8×D4—611no—
1065C8×D4—611no—
1066C8×D4—611no—
1067C8×D4—611no—
1068C8×D4—611no—
1069C8×D4—611no—
1070C8×D4—611no—
1071C8×D4C2×D6111yescharacteristic, complemented
1072C2×#107—611no—
1073C2×#107—611no—
1074C2×#106—611no—
1075C2×C4⋊C8—611no—
1076#416—611no—
1077#416—611no—
1078#416—611no—
1079#416—611no—
1080#416—611no—
1081#416—611no—
1082#416—611no—
1083#416C2×D6111yescharacteristic, complemented
1084C2×#103—611no—
1085C2×#103—611no—
1086C2×#103—611no—
1087C2×#103—611no—
1088C2×#103—611no—
1089C2×#103—611no—
1090C2×#103—611no—
1091C2×#103—611no—
1092C2×#103—611no—
1093C2×#103—611no—
1094C2×#103—611no—
1095C2×#103—611no—
1096C2×#103—611no—
1097C2×#103—611no—
1098C2×#103C2×D6111yescharacteristic, complemented
1099C2×#102—611no—
1100C2×#102—611no—
1101C2×#102—611no—
1102C2×C22⋊C8—611no—
1103C2×C22⋊C8—611no—
1104C2×C4×C8—611no—
1105C61C2×#330011yescharacteristic, complemented, Sylow
1106C2×#41—611no—
1107C2×#41—611no—
1108C2×#41—611no—
1109C2×#41—1221no—
1110C2×#41—1221no—
1111C2×#41—1224no—
1112C2×#41—2442no—
1113C2×#41C22×D6111yescharacteristic
1114C22×Q8—611no—
1115C22×Q8—611no—
1116C22×Q8—611no—
1117C22×Q8—611no—
1118C22×Q8—611no—
1119C22×Q8—611no—
1120C22×Q8—1221no—
1121C22×Q8—1221no—
1122C22×Q8—1221no—
1123C22×Q8—1224no—
1124C22×Q8—2442no—
1125C22×Q8C22×D6111yescharacteristic
1126C22×D4—611no—
1127C22×D4—611no—
1128C22×D4—1221no—
1129C22×D4—1221no—
1130C23×C4—611no—
1131C23×C4—611no—
1132C23×C4—1221no—
1133C23×C4—1221no—
1134C23×C4—1221no—
1135C2×Q16—611no—
1136C2×Q16—611no—
1137C2×Q16—611no—
1138C2×Q16—611no—
1139C2×Q16—611no—
1140C2×Q16—611no—
1141C2×Q16—1224no—
1142C2×Q16—2442no—
1143C2×Q16C22×D6111yescharacteristic
1144C2×Q16C22×D6111yescharacteristic
1145C2×SD16—611no—
1146C2×SD16—611no—
1147C2×SD16—611no—
1148C2×SD16—2442no—
1149C2×SD16C22×D6111yescharacteristic
1150C22×C8—611no—
1151C22×C8—611no—
1152C22×C8—611no—
1153C22×C8—611no—
1154C22×C8—611no—
1155C22×C8—611no—
1156C22×C8—611no—
1157C22×C8—611no—
1158C22×C8—611no—
1159C22×C8—611no—
1160C22×C8—2442no—
1161C22×C8—2442no—
1162C22×C8C22×D6111yescharacteristic
1163C22×C8C22×D6111yescharacteristic
1164#126—21no—
1165#126—1221no—
1166#126—1221no—
1167#126—1221no—
1168#126—1221no—
1169#126—1221no—
1170#126—1221no—
1171#126—1221no—
1172#125—21no—
1173#125—611no—
1174#125—611no—
1175#125—611no—
1176#125—1221no—
1177#125—1221no—
1178#125—1221no—
1179#125—1221no—
1180#125—1221no—
1181#125—1221no—
1182#125—1221no—
1183#125—1221no—
1184#125—1221no—
1185#125C22×D6111yescharacteristic
1186#124—21no—
1187#124—611no—
1188#124—611no—
1189#124—611no—
1190#124—1221no—
1191#124—1221no—
1192#124—1221no—
1193#124—1221no—
1194#124—1221no—
1195#124—1221no—
1196#124—1221no—
1197#124—1221no—
1198#124—1221no—
1199#124C22×D6111yescharacteristic
1200#123—21no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208C22⋊Q8—21no—
1209C22⋊Q8—611no—
1210C22⋊Q8—611no—
1211C22⋊Q8—611no—
1212C22⋊Q8—611no—
1213C22⋊Q8—611no—
1214C22⋊Q8—611no—
1215C22⋊Q8—611no—
1216C22⋊Q8—611no—
1217C22⋊Q8—611no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221C22⋊Q8—1221no—
1222C22⋊Q8—1221no—
1223C22⋊Q8—1221no—
1224C22⋊Q8—1221no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8C22×D6111yescharacteristic
1232C22⋊Q8C22×D6111yescharacteristic
1233C22⋊Q8C22×D6111yescharacteristic
1234#121—21no—
1235#121—611no—
1236#121—611no—
1237#121—611no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121C22×D6111yescharacteristic
1248C4×Q8—611no—
1249C4×Q8—611no—
1250C4×Q8—611no—
1251C4×Q8—611no—
1252C4×Q8—611no—
1253C4×Q8—611no—
1254C4×Q8—1221no—
1255C4×Q8—1221no—
1256C4×Q8—1221no—
1257C4×Q8—1221no—
1258C4×Q8C22×D6111yescharacteristic
1259C4×Q8C22×D6111yescharacteristic
1260C4×D4—21no—
1261C4×D4—611no—
1262C4×D4—611no—
1263C4×D4—611no—
1264C4×D4—611no—
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4—1221no—
1272C4×D4—1221no—
1273C4×D4—1221no—
1274C4×D4—1221no—
1275C4×D4C22×D6111yescharacteristic
1276#117—21no—
1277#117—611no—
1278#117—611no—
1279#117—611no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117—1221no—
1286#117—1221no—
1287#117—1221no—
1288#117—1221no—
1289#117C22×D6111yescharacteristic
1290C2×C4⋊C4—611no—
1291C2×C4⋊C4—611no—
1292C2×C4⋊C4—611no—
1293C2×C4⋊C4—611no—
1294C2×C4⋊C4—611no—
1295C2×C4⋊C4—611no—
1296C2×C4⋊C4—611no—
1297C2×C4⋊C4—611no—
1298C2×C4⋊C4—1221no—
1299C2×C4⋊C4—1221no—
1300C2×C4⋊C4—1221no—
1301C2×C4⋊C4—1221no—
1302C2×C4⋊C4—1221no—
1303C2×C4⋊C4—1221no—
1304C2×C4⋊C4—1221no—
1305C2×C4⋊C4—1221no—
1306C2×C4⋊C4—1221no—
1307C2×C4⋊C4—1221no—
1308C2×C4⋊C4C22×D6111yescharacteristic
1309C2×C22⋊C4—611no—
1310C2×C22⋊C4—611no—
1311C2×C22⋊C4—1221no—
1312C2×C22⋊C4—1221no—
1313C2×C22⋊C4—1221no—
1314C2×C22⋊C4—1221no—
1315C2×C22⋊C4—1221no—
1316C2×C22⋊C4—1221no—
1317C2×C22⋊C4—1221no—
1318C2×C42—611no—
1319C2×C42—1221no—
1320C2×C42—1221no—
1321C2×C42—1221no—
1322#107—611no—
1323#107—611no—
1324#107—611no—
1325#107—611no—
1326#107—611no—
1327#107—611no—
1328#107C22×D6111yescharacteristic
1329#107C22×D6111yescharacteristic
1330#106—611no—
1331#106—611no—
1332#106—611no—
1333#106C22×D6111yescharacteristic
1334C4⋊C8—611no—
1335C4⋊C8—611no—
1336C4⋊C8—611no—
1337C4⋊C8C22×D6111yescharacteristic
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103—611no—
1354#103—611no—
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103C22×D6111yescharacteristic
1360#103C22×D6111yescharacteristic
1361#103C22×D6111yescharacteristic
1362#103C22×D6111yescharacteristic
1363#103C22×D6111yescharacteristic
1364#103C22×D6111yescharacteristic
1365#103C22×D6111yescharacteristic
1366#102—611no—
1367#102—611no—
1368#102—611no—
1369#102—611no—
1370#102—611no—
1371#102—611no—
1372#102—611no—
1373#102—611no—
1374#102—611no—
1375#102C22×D6111yescharacteristic
1376#102C22×D6111yescharacteristic
1377#102C22×D6111yescharacteristic
1378C22⋊C8—611no—
1379C22⋊C8—611no—
1380C22⋊C8—611no—
1381C22⋊C8—611no—
1382C22⋊C8—611no—
1383C22⋊C8—611no—
1384C22⋊C8C22×D6111yescharacteristic
1385C22⋊C8C22×D6111yescharacteristic
1386C4×C8—611no—
1387C4×C8—611no—
1388C4×C8—611no—
1389C4×C8C22×D6111yescharacteristic
1390C24—611no—
1391C24—611no—
1392C24—1221no—
1393#41—22no—
1394#41—41no—
1395#41—1222no—
1396#41—1222no—
1397#41—1222no—
1398#41—2441no—
1399#41—2444no—
1400#41—2441no—
1401#41—2444no—
1402#41—2441no—
1403C2×Q8—21no—
1404C2×Q8—22no—
1405C2×Q8—41no—
1406C2×Q8—614no—
1407C2×Q8—611no—
1408C2×Q8—611no—
1409C2×Q8—611no—
1410C2×Q8—1221no—
1411C2×Q8—1221no—
1412C2×Q8—1221no—
1413C2×Q8—1221no—
1414C2×Q8—1221no—
1415C2×Q8—1222no—
1416C2×Q8—1222no—
1417C2×Q8—1222no—
1418C2×Q8—1222no—
1419C2×Q8—1222no—
1420C2×Q8—1222no—
1421C2×Q8—1221no—
1422C2×Q8—1222no—
1423C2×Q8—1222no—
1424C2×Q8—2441no—
1425C2×Q8—2444no—
1426C2×Q8—2444no—
1427C2×Q8—2441no—
1428C2×Q8—2441no—
1429C2×Q8—2444no—
1430C2×Q8C23×D6111yescharacteristic
1431C2×Q8C23×D6111yescharacteristic
1432C2×Q8C23×D6111yescharacteristic
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—611no—
1436C2×D4—611no—
1437C2×D4—611no—
1438C2×D4—611no—
1439C2×D4—1221no—
1440C2×D4—1221no—
1441C2×D4—1222no—
1442C2×D4—1222no—
1443C2×D4—1221no—
1444C2×D4—1224no—
1445C2×D4—1221no—
1446C2×D4—1221no—
1447C2×D4—1221no—
1448C2×D4—1221no—
1449C2×D4—2444no—
1450C2×D4—2444no—
1451C2×D4D4×D6111yescharacteristic
1452C2×D4C23×D6111yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—611no—
1457C22×C4—611no—
1458C22×C4—611no—
1459C22×C4—611no—
1460C22×C4—611no—
1461C22×C4—611no—
1462C22×C4—611no—
1463C22×C4—611no—
1464C22×C4—611no—
1465C22×C4—611no—
1466C22×C4—611no—
1467C22×C4—1222no—
1468C22×C4—1222no—
1469C22×C4—1222no—
1470C22×C4—1222no—
1471C22×C4—1221no—
1472C22×C4—1221no—
1473C22×C4—1221no—
1474C22×C4—1221no—
1475C22×C4—1221no—
1476C22×C4—1221no—
1477C22×C4—1221no—
1478C22×C4—1221no—
1479C22×C4—1221no—
1480C22×C4—1221no—
1481C22×C4—1221no—
1482C22×C4—1221no—
1483C22×C4—1221no—
1484C22×C4—1221no—
1485C22×C4—1221no—
1486C22×C4—1221no—
1487C22×C4—2444no—
1488C22×C4—2444no—
1489C22×C4—2444no—
1490C22×C4C23×D6111yescharacteristic
1491C22×C4C23×D6111yescharacteristic
1492Q16—22no—
1493Q16—41no—
1494Q16—1222no—
1495Q16—1222no—
1496Q16—1222no—
1497Q16—2441no—
1498Q16—2441no—
1499Q16—2441no—
1500SD16—41no—
1501SD16—2441no—
1502SD16—2441no—
1503SD16—2441no—
1504C2×C8—41no—
1505C2×C8—41no—
1506C2×C8—611no—
1507C2×C8—611no—
1508C2×C8—611no—
1509C2×C8—611no—
1510C2×C8—1222no—
1511C2×C8—1222no—
1512C2×C8—1222no—
1513C2×C8—1222no—
1514C2×C8—2441no—
1515C2×C8—2441no—
1516C2×C8—2441no—
1517C2×C8—2441no—
1518C2×C8—2441no—
1519C2×C8—2441no—
1520C2×C8C23×D6111yescharacteristic
1521C2×C8C23×D6111yescharacteristic
1522C2×C8C23×D6111yescharacteristic
1523C2×C8C23×D6111yescharacteristic
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—611no—
1533C4⋊C4—611no—
1534C4⋊C4—611no—
1535C4⋊C4—611no—
1536C4⋊C4—611no—
1537C4⋊C4—611no—
1538C4⋊C4—611no—
1539C4⋊C4—1221no—
1540C4⋊C4—1221no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4—1221no—
1548C4⋊C4—1221no—
1549C4⋊C4—1221no—
1550C4⋊C4—1221no—
1551C4⋊C4—1221no—
1552C4⋊C4—1221no—
1553C4⋊C4—1221no—
1554C4⋊C4—1221no—
1555C4⋊C4—1221no—
1556C4⋊C4—1221no—
1557C4⋊C4—1221no—
1558C4⋊C4—1221no—
1559C4⋊C4—1221no—
1560C4⋊C4—1221no—
1561C4⋊C4—1221no—
1562C4⋊C4—1221no—
1563C4⋊C4—1221no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4D4×D6111yescharacteristic
1568C4⋊C4C23×D6111yescharacteristic
1569C4⋊C4C23×D6111yescharacteristic
1570C4⋊C4C23×D6111yescharacteristic
1571C4⋊C4C23×D6111yescharacteristic
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—611no—
1580C22⋊C4—611no—
1581C22⋊C4—611no—
1582C22⋊C4—611no—
1583C22⋊C4—611no—
1584C22⋊C4—611no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4—1221no—
1592C22⋊C4—1221no—
1593C22⋊C4—1221no—
1594C22⋊C4—1221no—
1595C22⋊C4—1221no—
1596C22⋊C4—1221no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4D4×D6111yescharacteristic
1607C22⋊C4D4×D6111yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—21no—
1611C42—611no—
1612C42—611no—
1613C42—611no—
1614C42—1221no—
1615C42—1221no—
1616C42—1221no—
1617C42—1221no—
1618C42—1221no—
1619C42—1221no—
1620C42—1221no—
1621C42—1221no—
1622C42—1221no—
1623C42C23×D6111yescharacteristic
1624C23—21no—
1625C23—611no—
1626C23—614no—
1627C23—611no—
1628C23—611no—
1629C23—1222no—
1630C23—1222no—
1631C23—1222no—
1632C23—1222no—
1633C23—1222no—
1634C23—1221no—
1635C23—2442no—
1636C23—2442no—
1637C23—2442no—
1638C23C2×D4×D6111yescharacteristic
1639C23C2×D4×D6111yescharacteristic
1640Q8—21no—
1641Q8—21no—
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—42no—
1646Q8—612no—
1647Q8—1224no—
1648Q8—1221no—
1649Q8—1221no—
1650Q8—1221no—
1651Q8—1221no—
1652Q8—1221no—
1653Q8—2442no—
1654Q8—2442no—
1655Q8—2442no—
1656Q8—2442no—
1657Q8—2442no—
1658Q8#41×D6112yes—
1659D4—22no—
1660D4—21no—
1661D4—21no—
1662D4—42no—
1663D4—42no—
1664D4—1222no—
1665D4—1222no—
1666D4—1222no—
1667D4—1221no—
1668D4—1221no—
1669D4—2442no—
1670D4—2442no—
1671D4—2442no—
1672D4—2442no—
1673D4—2442no—
1674D4—2442no—
1675D4—2442no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—42no—
1690C2×C4—611no—
1691C2×C4—612no—
1692C2×C4—612no—
1693C2×C4—611no—
1694C2×C4—611no—
1695C2×C4—611no—
1696C2×C4—611no—
1697C2×C4—1222no—
1698C2×C4—1222no—
1699C2×C4—1222no—
1700C2×C4—1222no—
1701C2×C4—1222no—
1702C2×C4—1222no—
1703C2×C4—1224no—
1704C2×C4—1222no—
1705C2×C4—1222no—
1706C2×C4—1221no—
1707C2×C4—1221no—
1708C2×C4—1221no—
1709C2×C4—1221no—
1710C2×C4—1221no—
1711C2×C4—1221no—
1712C2×C4—1221no—
1713C2×C4—1221no—
1714C2×C4—1221no—
1715C2×C4—1221no—
1716C2×C4—1221no—
1717C2×C4—2442no—
1718C2×C4—2442no—
1719C2×C4—2442no—
1720C2×C4—2442no—
1721C2×C4—2442no—
1722C2×C4—2442no—
1723C2×C4—2442no—
1724C2×C4—2442no—
1725C2×C4—2442no—
1726C2×C4—2442no—
1727C2×C4—2442no—
1728C2×C4—2442no—
1729C2×C4—2442no—
1730C2×C4—2442no—
1731C2×C4—2442no—
1732C2×C4C2×D4×D6111yescharacteristic
1733C2×C4C2×D4×D6111yescharacteristic
1734C2×C4C2×D4×D6111yescharacteristic
1735C2×C4C2×D4×D6111yescharacteristic
1736C2×C4C24×D6111yescharacteristic
1737C8—21no—
1738C8—21no—
1739C8—21no—
1740C8—21no—
1741C8—1221no—
1742C8—1221no—
1743C8—1221no—
1744C8—1221no—
1745C22—21no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—21no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—612no—
1754C22—612no—
1755C22—612no—
1756C22—612no—
1757C22—1228no—
1758C22—1221no—
1759C22—1221no—
1760C22—1221no—
1761C22—1221no—
1762C22—1221no—
1763C22—4884no—
1764C22—2444no—
1765C22—2441no—
1766C22—2441no—
1767C22—2441no—
1768C22#135×D6112yes—
1769C22C22×D4×D6111yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—22no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—612no—
1782C4—1221no—
1783C4—1221no—
1784C4—1222no—
1785C4—1221no—
1786C4—1221no—
1787C4—2441no—
1788C4—2441no—
1789C4—2441no—
1790C4—2441no—
1791C4—2441no—
1792C4—2441no—
1793C4C2×#41×D6111yescharacteristic
1794C4H(5,𝔽2)×D6111yescharacteristic
1795C2—22no—
1796C2—41no—
1797C2—81no—
1798C2—614no—
1799C2—1222no—
1800C2—4881no—
1801C2—2441no—
1802C2#546×D6111yescharacteristic
1803C2C2×#135×D6111yescharacteristic
1804C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3300C2
socleC22×C61C23×D4
prime radical#548×D61C2
hypercenter#3300D61
hypocenterC61C2×#3300
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3300

Complements

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

NH ≅ G/Ntype
1. #552×D61C2semidirect
3. #21457713C2semidirect
4. #21457712C2semidirect
5. #21457711C2semidirect
6. #21457710C2semidirect
7. #21457709C2semidirect
8. #21457708C2semidirect
9. #21457707C2semidirect
10. #21457706C2semidirect
11. #21457705C2semidirect
12. #21457704C2semidirect
13. #21457703C2semidirect
14. #21457702C2semidirect
15. #21457701C2semidirect
16. #21457700C2semidirect
17. #21457699C2semidirect
18. #488×D61C2semidirect
19. #485×D61C2semidirect
20. #480×D61C2semidirect
21. #479×D61C2semidirect
22. #467×D61C2semidirect
23. #465×D61C2semidirect
24. #464×D61C2semidirect
25. #452×D61C2semidirect
26. #451×D61C2semidirect
27. C4×Q16×D61C2semidirect
28. C8×D4×D61C2semidirect
29. #416×D61C2semidirect
30. C2×#103×D61C2semidirect
31. C61×#3300C2semidirect
39. #16840454C22semidirect
40. #16840453C22semidirect
41. #16840452C22semidirect
42. #16840451C22semidirect
43. #16840450C22semidirect
46. #16840447C22semidirect
47. #16840446C22semidirect
80. #16840119C22semidirect
81. #16840118C22semidirect
82. #16840118C22semidirect
83. #16840117C22semidirect
84. #16840116C22semidirect
85. #16840115C22semidirect
86. #16840115C22semidirect
87. #16840106C22semidirect
88. #16840105C22semidirect
89. #16840104C22semidirect
90. #16840103C22semidirect
91. #16840102C22semidirect
92. #16840101C22semidirect
93. #16840100C22semidirect
94. #16840077C22semidirect
95. #16840077C22semidirect
96. #16840076C22semidirect
97. #16840075C22semidirect
98. #16840074C22semidirect
99. #16840074C22semidirect
100. #16840073C22semidirect
101. #16840072C22semidirect
102. #16840071C22semidirect
103. #16840070C22semidirect
104. #16840069C22semidirect
105. #16840068C22semidirect
106. #16840067C22semidirect
107. #16840066C22semidirect
108. #16840004C22semidirect
109. #16840003C22semidirect
110. #16840002C22semidirect
111. #16840002C22semidirect
112. #16840001C22semidirect
113. #16840001C22semidirect
114. #16840000C22semidirect
115. #16839994C22semidirect
116. #16839993C22semidirect
117. #16839992C22semidirect
118. #16839991C22semidirect
119. #16839990C22semidirect
120. #16839989C22semidirect
121. #16839988C22semidirect
122. #16839987C22semidirect
123. #16839986C22semidirect
124. #16839985C22semidirect
125. #16839984C22semidirect
126. #16839983C22semidirect
127. #16839982C22semidirect
128. #16839981C22semidirect
129. #16839927C22semidirect
130. #16839926C22semidirect
131. #16839925C22semidirect
132. #16839924C22semidirect
133. #16839923C22semidirect
134. #16839922C22semidirect
135. #16839921C22semidirect
136. #16839920C22semidirect
137. #16839919C22semidirect
138. #16839919C22semidirect
139. #16839918C22semidirect
140. #16839917C22semidirect
141. #16839916C22semidirect
142. #16839916C22semidirect
143. C4×Dic244C22semidirect
144. Q16×Dic61C22semidirect
145. #16839856C22semidirect
146. C4×#11758202C22semidirect
147. C4×#11758202C22semidirect
148. #16839854C22semidirect
149. #16839854C22semidirect
150. C8×D244C22semidirect
151. D4×#92418C22semidirect
152. #16839827C22semidirect
153. C8×C22⋊D61C22semidirect
154. C8×C22⋊D61C22semidirect
155. #16839825C22semidirect
156. #16839825C22semidirect
161. #16839759C22semidirect
162. #16839758C22semidirect
163. #16839757C22semidirect
164. #16839757C22semidirect
165. #16839756C22semidirect
166. #16839755C22semidirect
167. #16839755C22semidirect
168. C2×#14519702C22semidirect
169. C2×#14519701C22semidirect
170. C2×#14519700C22semidirect
178. #103×D61C22semidirect
179. #103×D61C22semidirect
180. #103×D61C22semidirect
181. #103×D61C22semidirect
188. C61×#552C22semidirect
190. C61×#488C22semidirect
191. C61×#485C22semidirect
192. C61×#480C22semidirect
193. C61×#479C22semidirect
194. C61×#467C22semidirect
195. C61×#465C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
198. C61×#451C22semidirect
199. C4×Q16×C61C22semidirect
200. C8×D4×C61C22semidirect
201. C61×#416C22semidirect
202. C2×#103×C61C22semidirect
910. #3300D61direct (N × H)
933. D61#3300direct (N × H)
952. #552C2×D61semidirect
991. #488C2×D61semidirect
999. #485C2×D61semidirect
1007. #480C2×D61semidirect
1015. #479C2×D61semidirect
1023. #467C2×D61semidirect
1031. #465C2×D61semidirect
1039. #464C2×D61semidirect
1047. #452C2×D61semidirect
1055. #451C2×D61semidirect
1063. C4×Q16C2×D61semidirect
1071. C8×D4C2×D61semidirect
1083. #416C2×D61semidirect
1098. C2×#103C2×D61semidirect
1105. C61C2×#3300semidirect

Maximal subgroups

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

subgroupindex
#552×D612
#548×D612
#214577132
#214577122
#214577112
#214577102
#214577092
#214577082
#214577072
#214577062
#214577052
#214577042
#214577032
#214577022
#214577012
#214577002
#214576992
#488×D612
#485×D612
#480×D612
#479×D612
#467×D612
#465×D612
#464×D612
#452×D612
#451×D612
C4×Q16×D612
C8×D4×D612
#416×D612
C2×#103×D612
C61×#33002
C2×#330061