Finite Group Databasebeta

← #30566917

Subgroups — #30566917

Order 15616.

2018 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460198C211yesmaximal, characteristic, complemented
2#21459586C211yesmaximal, characteristic, complemented
3#21458009C211yesmaximal, characteristic, complemented
4#21457998C211yesmaximal, characteristic, complemented
5#21457949C211yesmaximal, characteristic, complemented
6#21457946C211yesmaximal, characteristic, complemented
7#21457931C211yesmaximal, characteristic, complemented
8#21457926C211yesmaximal, characteristic, complemented
9#21457866C211yesmaximal, characteristic, complemented
10#21457863C211yesmaximal, characteristic, complemented
11#21457404C211yesmaximal, characteristic, complemented
12#21457402C211yesmaximal, characteristic, complemented
13#21457393C211yesmaximal, characteristic, complemented
14#21457387C211yesmaximal, characteristic, complemented
15#21457383C211yesmaximal, characteristic, complemented
16#21457382C211yesmaximal, characteristic, complemented
17#21457374C211yesmaximal, characteristic, complemented
18#21457368C211yesmaximal, characteristic, complemented
19#21456854C211yesmaximal, characteristic, complemented
20#21456827C211yesmaximal, characteristic, complemented
21#21456728C211yesmaximal, characteristic, complemented
22#21456725C211yesmaximal, characteristic, complemented
23#21456703C211yesmaximal, characteristic, complemented
24#21456700C211yesmaximal, characteristic, complemented
25#21455985C211yesmaximal, characteristic, complemented
26#21455944C211yesmaximal, characteristic, complemented
27#21455129C211yesmaximal, characteristic, complemented
28#21455114C211yesmaximal, characteristic, complemented
29#21455109C211yesmaximal, characteristic, complemented
30#21454888C211yesmaximal, characteristic, complemented
31C61×#3013C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic
33C2×#14519809C2211yescharacteristic
34C2×#14519807C2211yescharacteristic
35C2×#14519806C2211yescharacteristic
36C2×#14519798C2211yescharacteristic
37C22×#11758202C2211yescharacteristic
38C2×Q16×D61C2211yescharacteristic
39#16840507—21no—
40#16840507—21no—
41#16840476—21no—
42#16840476C2211yescharacteristic
43#16840467C2211yescharacteristic
44#16840455—21no—
45#16840447C2211yescharacteristic
46#16840446C2211yescharacteristic
47#16840431—21no—
48#16840431C2211yescharacteristic
49#16840431C2211yescharacteristic
50Q8×C22⋊D61—21no—
51Q8×C22⋊D61C2211yescharacteristic
52Q8×C22⋊D61C2211yescharacteristic
53#16840425C2211yescharacteristic
54#16840423—21no—
55#16840423C2211yescharacteristic
56#16840423C2211yescharacteristic
57#16840419—21no—
58#16840419C2211yescharacteristic
59#16840419C2211yescharacteristic
60#16840419C2211yescharacteristic
61#16840418C2211yescharacteristic
62#16840411C2211yescharacteristic
63#16840391—21no—
64#16840382—21no—
65#16840379—21no—
66#16840362—21no—
67#16840341C2211yescharacteristic
68#16840340—21no—
69#16840340—21no—
70#16840340C2211yescharacteristic
71#16840340C2211yescharacteristic
72#16840335C2211yescharacteristic
73#16840333C2211yescharacteristic
74#16840314C2211yescharacteristic
75#16840308—21no—
76#16840308—21no—
77#16840308C2211yescharacteristic
78#16840308C2211yescharacteristic
79#16840293C2211yescharacteristic
80C2×Q8×Dic61C2211yescharacteristic
81#16840155C2211yescharacteristic
82#16840153C2211yescharacteristic
83#16840153C2211yescharacteristic
84#16840150C2211yescharacteristic
85#16840129C2211yescharacteristic
86#16840125C2211yescharacteristic
87#16840123C2211yescharacteristic
88#16840120C2211yescharacteristic
89#16840104C2211yescharacteristic
90#16840102C2211yescharacteristic
91#16840098C2211yescharacteristic
92#16840093C2211yescharacteristic
93#16840092C2211yescharacteristic
94#16840091C2211yescharacteristic
95#16840090C2211yescharacteristic
96#16840087C2211yescharacteristic
97#16840084C2211yescharacteristic
98#16840080C2211yescharacteristic
99#16840079C2211yescharacteristic
100#16840078C2211yescharacteristic
101#16840071C2211yescharacteristic
102#16840071C2211yescharacteristic
103#16840045C2211yescharacteristic
104#16840045C2211yescharacteristic
105#16840020C2211yescharacteristic
106#16840019C2211yescharacteristic
107#16840019C2211yescharacteristic
108#16840018C2211yescharacteristic
109#16840013C2211yescharacteristic
110#16840012C2211yescharacteristic
111#16840008C2211yescharacteristic
112#16840005C2211yescharacteristic
113#16840003C2211yescharacteristic
114#16840000C2211yescharacteristic
115#16839993C2211yescharacteristic
116#16839991C2211yescharacteristic
117#16839990C2211yescharacteristic
118#16839990C2211yescharacteristic
119#16839989C2211yescharacteristic
120#16839988C2211yescharacteristic
121#16839987C2211yescharacteristic
122#16839983C2211yescharacteristic
123#16839982C2211yescharacteristic
124#16839982C2211yescharacteristic
125#16839979C2211yescharacteristic
126#16839975C2211yescharacteristic
127#16839971C2211yescharacteristic
128#16839970C2211yescharacteristic
129#16839970C2211yescharacteristic
130#16839970C2211yescharacteristic
131#16839961C2211yescharacteristic
132#16839960C2211yescharacteristic
133#16839927C2211yescharacteristic
134#16839927C2211yescharacteristic
135#16839926C2211yescharacteristic
136#16839926C2211yescharacteristic
137#16839924C2211yescharacteristic
138#16839924C2211yescharacteristic
139#16839924C2211yescharacteristic
140#16839924C2211yescharacteristic
141#16839924C2211yescharacteristic
142#16839923C2211yescharacteristic
143#16839922C2211yescharacteristic
144#16839921C2211yescharacteristic
145#16839920C2211yescharacteristic
146#16839919C2211yescharacteristic
147#16839919C2211yescharacteristic
148#16839918C2211yescharacteristic
149#16839918C2211yescharacteristic
150#16839918C2211yescharacteristic
151#16839918C2211yescharacteristic
152#16839916C2211yescharacteristic
153#16839916C2211yescharacteristic
154#16839907C2211yescharacteristic
155#16839906C2211yescharacteristic
156#16839905C2211yescharacteristic
157#16839904C2211yescharacteristic
158#16839903C2211yescharacteristic
159#16839899C2211yescharacteristic
160#16839899C2211yescharacteristic
161#16839869C2211yescharacteristic
162#16839869C2211yescharacteristic
163#16839866C2211yescharacteristic
164#16839866C2211yescharacteristic
165#16839866C2211yescharacteristic
166#16839866C2211yescharacteristic
167#16839863C2211yescharacteristic
168#16839863C2211yescharacteristic
169#16839836C2211yescharacteristic
170#16839836C2211yescharacteristic
171#16839833C2211yescharacteristic
172#16839833C2211yescharacteristic
173#16839831C2211yescharacteristic
174#16839831C2211yescharacteristic
175#16839830C2211yescharacteristic
176#16839830C2211yescharacteristic
177#16839816C2211yescharacteristic
178#16839816C2211yescharacteristic
179#16839771C2211yescharacteristic
180#16839769C2211yescharacteristic
181#16839762C2211yescharacteristic
182#16839758C2211yescharacteristic
183#16839757C2211yescharacteristic
184#103×D61C2211yescharacteristic
185#16839729C2211yescharacteristic
186#16839727C2211yescharacteristic
187#16839727C2211yescharacteristic
188C2×2−1+4×C61C2211yescharacteristic
189C2×#137×C61C2211yescharacteristic
190C2×#135×C61C2211yescharacteristic
191C61×#537C2211yescharacteristic
192C61×#452C2211yescharacteristic
193C61×#452C2211yescharacteristic
194C61×#451C2211yescharacteristic
195C61×#451C2211yescharacteristic
196C61×#449C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#448C2211yescharacteristic
199C61×#448C2211yescharacteristic
200C61×#417C2211yescharacteristic
201C2×#103×C61C2211yescharacteristic
202C61×#408C2211yescharacteristic
203#14519825—42no—
204#14519825—42no—
205C2×#11758226—21no—
206C2×#11758226C2311yescharacteristic
207C2×#11758226C2311yescharacteristic
208C2×#11758222—21no—
209C2×#11758222—21no—
210C2×#11758222C2311yescharacteristic
211C2×#11758222C2311yescharacteristic
212C2×#11758224C2311yescharacteristic
213C22×Dic122C2311yescharacteristic
214C2×Q8×D61—21no—
215C2×Q8×D61C2311yescharacteristic
216C2×Q8×D61C2311yescharacteristic
217C2×Q8×D61C2311yescharacteristic
218#14519809—42no—
219#14519807—42no—
220#14519806—42no—
221#14519798—42no—
222C2×Dic244C2311yescharacteristic
223C2×Dic244C2311yescharacteristic
224C2×#11758202—42no—
225C2×#11758202C2311yescharacteristic
226C2×#11758202C2311yescharacteristic
227C2×#11758202C2311yescharacteristic
228C2×#11758202C2311yescharacteristic
229C2×#11758202C2311yescharacteristic
230C2×#11758202C2311yescharacteristic
231C2×#11758202C2311yescharacteristic
232Q16×D61—42no—
233C2×#11758190C2311yescharacteristic
234C2×#11758190C2311yescharacteristic
235C2×#11758200C2311yescharacteristic
236C2×#11758200C2311yescharacteristic
237C2×#11758200C2311yescharacteristic
238C2×#11758201C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758194C2311yescharacteristic
241C2×#11758189C2311yescharacteristic
242C2×#11758189C2311yescharacteristic
243C22×#92418C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245C2×C8×D61C2311yescharacteristic
246#14519776—21no—
247#14519776—21no—
248#14519776C2311yescharacteristic
249#14519775—21no—
250#14519775—21no—
251#14519775—21no—
252#14519775D411yescharacteristic
253#14519775C2311yescharacteristic
254#14519775C2311yescharacteristic
255#14519773—21no—
256#14519773—21no—
257#14519773D411yescharacteristic
258#14519773C2311yescharacteristic
259#14519772—21no—
260#14519770—21no—
261#14519770—21no—
262#14519768C2311yescharacteristic
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519766—21no—
268#14519766—21no—
269#14519766D411yescharacteristic
270#14519766C2311yescharacteristic
271#14519764—21no—
272#14519764—21no—
273#14519764—21no—
274#14519764—21no—
275#14519764—21no—
276#14519764D411yescharacteristic
277#14519764C2311yescharacteristic
278#14519764C2311yescharacteristic
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519762—21no—
283#14519760—21no—
284#14519760—21no—
285#14519759—21no—
286#14519759—21no—
287#14519758—21no—
288#14519758—21no—
289#14519758—21no—
290#14519758—21no—
291#14519757C2311yescharacteristic
292#14519757C2311yescharacteristic
293#14519756—21no—
294#14519756—21no—
295#14519756—21no—
296#14519756—21no—
297#14519756—21no—
298#14519756—21no—
299#14519756—21no—
300#14519756C2311yescharacteristic
301#14519756C2311yescharacteristic
302#14519756C2311yescharacteristic
303#14519756C2311yescharacteristic
304#14519756C2311yescharacteristic
305#14519756C2311yescharacteristic
306#14519755—21no—
307#14519755—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519754—21no—
312#14519753—21no—
313#14519753—21no—
314#14519753—21no—
315#14519753—21no—
316#14519753—21no—
317#14519753C2311yescharacteristic
318#14519753C2311yescharacteristic
319#14519753C2311yescharacteristic
320#14519751—21no—
321#14519751—21no—
322#14519751—21no—
323#14519751—21no—
324#14519751—21no—
325#14519751C2311yescharacteristic
326#14519751C2311yescharacteristic
327#14519750—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749—21no—
336#14519749—21no—
337#14519749—21no—
338#14519749D411yescharacteristic
339#14519749D411yescharacteristic
340#14519749D411yescharacteristic
341#14519749D411yescharacteristic
342#14519748—21no—
343#14519748—21no—
344#14519748—21no—
345#14519748—21no—
346#14519748—21no—
347#14519748—21no—
348#14519748—21no—
349#14519748C2311yescharacteristic
350#14519748C2311yescharacteristic
351#14519748C2311yescharacteristic
352Q8×Dic61—21no—
353Q8×Dic61—21no—
354Q8×Dic61C2311yescharacteristic
355Q8×Dic61C2311yescharacteristic
356Q8×Dic61C2311yescharacteristic
357Q8×Dic61C2311yescharacteristic
358Q8×Dic61C2311yescharacteristic
359#14519742—21no—
360#14519742C2311yescharacteristic
361#14519742C2311yescharacteristic
362D4×Dic61—21no—
363D4×Dic61—21no—
364D4×Dic61C2311yescharacteristic
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61—21no—
370C4×C22⋊D61—21no—
371C4×C22⋊D61—21no—
372C4×C22⋊D61—21no—
373C4×C22⋊D61—21no—
374C4×C22⋊D61—21no—
375C4×C22⋊D61—21no—
376C4×C22⋊D61—21no—
377C4×C22⋊D61C2311yescharacteristic
378C4×C22⋊D61C2311yescharacteristic
379C4×C22⋊D61C2311yescharacteristic
380C4×C22⋊D61C2311yescharacteristic
381#14519737—21no—
382#14519736—21no—
383#14519736C2311yescharacteristic
384#14519735—21no—
385#14519735C2311yescharacteristic
386#14519733—21no—
387#14519733—21no—
388#14519733—21no—
389C2×C4⋊Dic61—21no—
390C2×C4⋊Dic61C2311yescharacteristic
391C2×#11758196—21no—
392C4⋊C4×D61C2311yescharacteristic
393C2×C4×Dic61—21no—
394C2×C4×Dic61C2311yescharacteristic
395#14519711C2311yescharacteristic
396#14519711C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434C22⋊#92418C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519687C2311yescharacteristic
440#14519687C2311yescharacteristic
441#14519687C2311yescharacteristic
442#14519687C2311yescharacteristic
4432−1+4×C61—42no—
4442−1+4×C61—42no—
445C2×#41×C61—21no—
446C2×#41×C61—21no—
447C2×#41×C61—21no—
448C2×#41×C61C2311yescharacteristic
449C2×#41×C61C2311yescharacteristic
450C2×#41×C61C2311yescharacteristic
451C2×#41×C61C2311yescharacteristic
452C2×#41×C61C2311yescharacteristic
453C22×Q8×C61—21no—
454C22×Q8×C61C2311yescharacteristic
455C22×Q8×C61C2311yescharacteristic
456C22×Q8×C61C2311yescharacteristic
457#137×C61—42no—
458#135×C61—42no—
459C2×Q16×C61C2311yescharacteristic
460C2×Q16×C61C2311yescharacteristic
461C2×Q16×C61C2311yescharacteristic
462C2×SD16×C61C2311yescharacteristic
463C2×SD16×C61C2311yescharacteristic
464C2×SD16×C61C2311yescharacteristic
465C2×SD16×C61C2311yescharacteristic
466C2×D8×C61C2311yescharacteristic
467C2×M16×C61C2311yescharacteristic
468C22×C8×C61C2311yescharacteristic
469C22⋊Q8×C61—21no—
470C22⋊Q8×C61C2311yescharacteristic
471C22⋊Q8×C61C2311yescharacteristic
472#121×C61—21no—
473#121×C61—21no—
474#121×C61—21no—
475#121×C61C2311yescharacteristic
476#121×C61C2311yescharacteristic
477C2×C4⋊C4×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#103×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489C22⋊C8×C61C2311yescharacteristic
490#41×C61—22no—
491#41×C61—22no—
492#41×C61—41no—
493#41×C61—41no—
494#41×C61—41no—
495#41×C61—41no—
496#41×C61—41no—
497#41×C61—41no—
498#41×C61—44no—
499#41×C61—44no—
500#41×C61—41no—
501#41×C61—41no—
502#41×C61—44no—
503C2×Q8×C61—22no—
504C2×Q8×C61—22no—
505C2×Q8×C61—21no—
506C2×Q8×C61—21no—
507C2×Q8×C61—21no—
508C2×Q8×C61—22no—
509C2×Q8×C61—22no—
510C2×Q8×C61—41no—
511C2×Q8×C61—41no—
512C2×Q8×C61—44no—
513C2×Q8×C61C2×D411yescharacteristic
514C2×Q8×C61C2411yescharacteristic
515C2×Q8×C61C2411yescharacteristic
516C2×Q8×C61C2411yescharacteristic
517C2×Q8×C61C2411yescharacteristic
518C2×D4×C61—21no—
519C2×D4×C61—21no—
520C2×D4×C61—21no—
521C2×D4×C61—21no—
522C2×D4×C61—21no—
523C2×D4×C61—21no—
524C2×D4×C61C2×D411yescharacteristic
525C2×D4×C61C2×D411yescharacteristic
526C2×D4×C61C2×D411yescharacteristic
527C2×D4×C61C2411yescharacteristic
528C2×D4×C61C2411yescharacteristic
529C22×C4×C61—21no—
530C22×C4×C61—21no—
531C22×C4×C61—21no—
532C22×C4×C61—21no—
533C22×C4×C61—21no—
534C22×C4×C61—21no—
535C22×C4×C61—21no—
536C22×C4×C61—21no—
537C22×C4×C61C2411yescharacteristic
538C22×C4×C61C2411yescharacteristic
539C22×C4×C61C2411yescharacteristic
540C2×C22⋊D61—21no—
541C2×C22⋊D61—21no—
542C2×C22⋊D61—21no—
543C2×C22⋊D61—21no—
544C2×C22⋊D61—21no—
545C2×C22⋊D61—21no—
546C2×C22⋊D61—21no—
547C2×C22⋊D61—21no—
548C2×C22⋊D61—21no—
549C2×C22⋊D61C2×D411yescharacteristic
550C2×C22⋊D61C2×D411yescharacteristic
551C2×C22⋊D61C2×D411yescharacteristic
552C2×C22⋊D61C2×D411yescharacteristic
553C2×C22⋊D61C2×D411yescharacteristic
554C2×C22⋊D61C2×D411yescharacteristic
555C22×Dic61—21no—
556C22×Dic61—21no—
557C22×Dic61—21no—
558C22×Dic61—21no—
559C22×Dic61C2×D411yescharacteristic
560C22×Dic61C2×D411yescharacteristic
561#11758226—22no—
562#11758226—22no—
563#11758226—41no—
564#11758226—41no—
565#11758226—44no—
566Q8×D61—22no—
567Q8×D61—22no—
568Q8×D61—41no—
569Q8×D61—41no—
570Q8×D61—41no—
571Q8×D61—41no—
572Q8×D61—44no—
573#11758224—41no—
574#11758224—41no—
575#11758222—41no—
576#11758222—41no—
577#11758222—41no—
578#11758222—41no—
579#11758222—44no—
580#11758222—44no—
581C2×D244—21no—
582C2×D244—21no—
583C2×D244C2×D411yescharacteristic
584C2×D244C2411yescharacteristic
585C2×C4×D61—21no—
586C2×C4×D61—21no—
587C2×C4×D61—21no—
588C2×C4×D61—21no—
589C2×C4×D61—21no—
590C2×C4×D61—21no—
591C2×C4×D61—21no—
592C2×C4×D61C2411yescharacteristic
593C2×C4×D61C2411yescharacteristic
594C2×Dic122—21no—
595C2×Dic122—21no—
596C2×Dic122—21no—
597C2×Dic122—21no—
598C2×Dic122—21no—
599C2×Dic122—41no—
600C2×Dic122—41no—
601C2×Dic122C2×D411yescharacteristic
602C2×Dic122C2411yescharacteristic
603C2×Dic122C2411yescharacteristic
604C2×Dic122C2411yescharacteristic
605Q16×C61—22no—
606Q16×C61—22no—
607Q16×C61—41no—
608SD16×C61—22no—
609SD16×C61—22no—
610SD16×C61—41no—
611SD16×C61—41no—
612D8×C61—41no—
613M16×C61—41no—
614C2×C8×C61—41no—
615C2×C8×C61C2411yescharacteristic
616C2×C8×C61C2411yescharacteristic
617C2×C8×C61C2411yescharacteristic
618C2×C8×C61C2411yescharacteristic
619C4⋊C4×C61—21no—
620C4⋊C4×C61—21no—
621C4⋊C4×C61—21no—
622C4⋊C4×C61C2411yescharacteristic
623C4⋊C4×C61C2411yescharacteristic
624C22⋊C4×C61—21no—
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61—21no—
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61—21no—
639C22⋊Dic61—21no—
640C22⋊Dic61—21no—
641C22⋊Dic61—21no—
642C22⋊Dic61—21no—
643C22⋊Dic61C2×D411yescharacteristic
644C22⋊Dic61C2×D411yescharacteristic
645C22⋊Dic61C2×D411yescharacteristic
646C22⋊Dic61C2×D411yescharacteristic
647#11758202—22no—
648#11758202—22no—
649#11758202—22no—
650#11758202—22no—
651#11758202—41no—
652#11758202—41no—
653#11758202—41no—
654#11758201—41no—
655#11758200—41no—
656#11758200—41no—
657#11758200—41no—
658#11758199—41no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
666#11758198—21no—
667#11758198—21no—
668#11758198—21no—
669#11758198C2×D411yescharacteristic
670#11758198C2×D411yescharacteristic
671#11758198C2×D411yescharacteristic
672#11758198C2×D411yescharacteristic
673C4⋊Dic61—21no—
674C4⋊Dic61—21no—
675C4⋊Dic61—21no—
676C4⋊Dic61—21no—
677C4⋊Dic61—21no—
678C4⋊Dic61—21no—
679C4⋊Dic61—21no—
680C4⋊Dic61—21no—
681C4⋊Dic61—21no—
682C4⋊Dic61C2411yescharacteristic
683C4⋊Dic61C2411yescharacteristic
684C4⋊Dic61C2411yescharacteristic
685C4⋊Dic61C2411yescharacteristic
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196—21no—
693#11758196—21no—
694#11758196—21no—
695#11758196—21no—
696#11758196—21no—
697#11758196—21no—
698#11758196—21no—
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196C2×D411yescharacteristic
705#11758196C2×D411yescharacteristic
706#11758196C2×D411yescharacteristic
707#11758196C2×D411yescharacteristic
708C4×Dic61—21no—
709C4×Dic61—21no—
710C4×Dic61—21no—
711C4×Dic61—21no—
712C4×Dic61—21no—
713C4×Dic61—21no—
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61—21no—
717C4×Dic61C2×D411yescharacteristic
718C4×Dic61C2×D411yescharacteristic
719C4×Dic61C2411yescharacteristic
720C4×Dic61C2411yescharacteristic
721#11758194—41no—
722C2×#92418—41no—
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725C2×#92418C2411yescharacteristic
726C2×#92418C2411yescharacteristic
727Dic244—41no—
728Dic244—41no—
729#11758190—41no—
730#11758190—41no—
731#11758189—41no—
732#11758189—41no—
733C8×D61—41no—
734C8×D61—41no—
735C23×C61—21no—
736C23×C61—21no—
737C23×C61C22×D411yescharacteristic
738C23×C61C22×D411yescharacteristic
739C23×C61C22×D411yescharacteristic
740C22×D61—21no—
741C22×D61C22×D411yescharacteristic
742C22×D61C22×D411yescharacteristic
743Q8×C61—24no—
744Q8×C61—21no—
745Q8×C61—21no—
746Q8×C61—21no—
747Q8×C61—21no—
748Q8×C61—21no—
749Q8×C61—21no—
750Q8×C61—41no—
751Q8×C61—42no—
752Q8×C61—42no—
753Q8×C61H(5,𝔽2)12yes—
754Q8×C61H(5,𝔽2)12yes—
755D4×C61—21no—
756D4×C61—21no—
757D4×C61—21no—
758D4×C61—21no—
759D4×C61—41no—
760D4×C61—41no—
761D4×C61—41no—
762D4×C61—42no—
763D4×C61—42no—
764D4×C61—42no—
765D4×C61—81no—
766D4×C61—81no—
767D4×C61—81no—
768C2×C4×C61—24no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—42no—
782C2×C4×C61—42no—
783C2×C4×C61—42no—
784C2×C4×C61—42no—
785C2×C4×C61—42no—
786C2×C4×C61—81no—
787C2×C4×C61—81no—
788C2×C4×C61C22×D411yescharacteristic
789C2×C4×C61C22×D411yescharacteristic
790C2×C4×C61C22×D411yescharacteristic
791C2×C4×C61C2511yescharacteristic
792C22⋊D61—41no—
793C22⋊D61—41no—
794C22⋊D61—41no—
795C22⋊D61—41no—
796C22⋊D61—41no—
797C22⋊D61—41no—
798C22⋊D61—42no—
799C22⋊D61—42no—
800C22⋊D61—81no—
801C22⋊D61—81no—
802C22⋊D61—81no—
803C22⋊D61—81no—
804C22⋊D61—81no—
805C22⋊D61—81no—
806C22⋊D61—81no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—41no—
815C2×Dic61—41no—
816C2×Dic61—42no—
817C2×Dic61—81no—
818C2×Dic61—81no—
819C2×Dic61—81no—
820C2×Dic61C22×D411yescharacteristic
821C2×Dic61C22×D411yescharacteristic
822C2×Dic61C22×D411yescharacteristic
823C2×Dic61C22×D411yescharacteristic
824C2×Dic61C22×D411yescharacteristic
825C2×Dic61C22×D411yescharacteristic
826D244—21no—
827D244—21no—
828D244—41no—
829D244—42no—
830D244—42no—
831C4×D61—21no—
832C4×D61—21no—
833C4×D61—21no—
834C4×D61—21no—
835C4×D61—42no—
836C4×D61—42no—
837C4×D61—42no—
838C4×D61—42no—
839C4×D61—42no—
840C4×D61—81no—
841C4×D61—81no—
842Dic122—21no—
843Dic122—21no—
844Dic122—21no—
845Dic122—21no—
846Dic122—21no—
847Dic122—21no—
848Dic122—41no—
849Dic122—42no—
850Dic122—42no—
851Dic122—81no—
852Dic122—81no—
853Dic122—81no—
854C8×C61—21no—
855C8×C61—21no—
856C8×C61—21no—
857C8×C61—21no—
858#92418—21no—
859#92418—21no—
860#92418—21no—
861#92418—21no—
862#61672—611nomaximal, Sylow
863C22×C61—21no—
864C22×C61—21no—
865C22×C61—21no—
866C22×C61—21no—
867C22×C61—21no—
868C22×C61—21no—
869C22×C61—21no—
870C22×C61—21no—
871C22×C61—21no—
872C22×C61—41no—
873C22×C61—41no—
874C22×C61—41no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61C23×D411yescharacteristic
879C2×D61—21no—
880C2×D61—21no—
881C2×D61—21no—
882C2×D61—21no—
883C2×D61—21no—
884C2×D61—21no—
885C2×D61—41no—
886C2×D61—41no—
887C2×D61—41no—
888C4×C61—22no—
889C4×C61—22no—
890C4×C61—21no—
891C4×C61—21no—
892C4×C61—21no—
893C4×C61—41no—
894C4×C61—41no—
895C4×C61—41no—
896C4×C61—41no—
897C4×C61C2×H(5,𝔽2)11yescharacteristic
898C4×C61C2×H(5,𝔽2)11yescharacteristic
899Dic61—21no—
900Dic61—21no—
901Dic61—21no—
902Dic61—21no—
903Dic61—21no—
904Dic61—21no—
905Dic61—41no—
906Dic61—41no—
907Dic61—41no—
908Dic61—41no—
909Dic61—41no—
910Dic61—41no—
911Dic61—41no—
912#3547—611no—
913#3497—611no—
914#3321—611no—
915#3321—611no—
916#3317—611no—
917#3317—611no—
918#3316—611no—
919#3316—611no—
920#3312—611no—
921#3312—611no—
922#3271—611no—
923#3271—611no—
924#3270—611no—
925#3270—611no—
926#3270—611no—
927#3270—611no—
928#3269—611no—
929#3269—611no—
930#3219—611no—
931#3216—611no—
932#3204—611no—
933#3204—611no—
934#3201—611no—
935#3201—611no—
936#3117—611no—
937#3113—611no—
938#3013—611no—
939#3013D6111yescharacteristic, complemented
940#3011—611no—
941#3011—611no—
942#2980—611no—
943C2×C61—41no—
944C2×C61—41no—
945C2×C61—41no—
946C2×C61—81no—
947C2×C61—81no—
948C2×C61#348411yescharacteristic
949C2×C61#358611yescharacteristic
950C2×C61#358611yescharacteristic
951D61—41no—
952D61—41no—
953D61—81no—
954C2×2−1+4—611no—
955C2×2−1+4C2×D6111yescharacteristic
956C2×#137—611no—
957C2×#137—611no—
958C2×#137—611no—
959C2×#137C2×D6111yescharacteristic
960C2×#135—611no—
961C2×#135C2×D6111yescharacteristic
962C22×Q16—611no—
963C22×Q16—611no—
964#562—1221no—
965#562—1221no—
966#555—611no—
967#555—1221no—
968#554—611no—
969#553—1221no—
970#552—611no—
971#552—611no—
972#550—611no—
973#550—611no—
974#550—1221no—
975D4×Q8—611no—
976D4×Q8—611no—
977D4×Q8—611no—
978D4×Q8—1221no—
979#548—611no—
980#548—611no—
981#548—611no—
982#548—611no—
983#548—611no—
984#548—611no—
985#548—1221no—
986#548—1221no—
987#547—611no—
988#544—1221no—
989#542—1221no—
990#542—1221no—
991#540—1221no—
992#537—611no—
993#537—611no—
994#537—611no—
995#537—1221no—
996#537—1221no—
997#537C2×D6111yescharacteristic
998#536—611no—
999#536—611no—
1000#533—611no—
1001#532—611no—
1002#532—611no—
1003#532—1221no—
1004#532—1221no—
1005#529—611no—
1006C2×C4×Q8—611no—
1007#497—611no—
1008#497—611no—
1009#497—611no—
1010#496—611no—
1011#491—611no—
1012#490—611no—
1013#489—611no—
1014#489—611no—
1015#485—611no—
1016#485—611no—
1017#484—611no—
1018#483—611no—
1019#483—611no—
1020#483—611no—
1021#483—611no—
1022#482—611no—
1023#482—611no—
1024#481—611no—
1025#481—611no—
1026#481—611no—
1027#479—611no—
1028#479—611no—
1029#475—611no—
1030#475—611no—
1031#470—611no—
1032#470—611no—
1033#470—611no—
1034#470—611no—
1035#469—611no—
1036#469—611no—
1037#468—611no—
1038#468—611no—
1039#467—611no—
1040#467—611no—
1041#465—611no—
1042#465—611no—
1043#465—611no—
1044#465—611no—
1045#465—611no—
1046#465—611no—
1047#464—611no—
1048#464—611no—
1049#464—611no—
1050#464—611no—
1051#463—611no—
1052#463—611no—
1053#462—611no—
1054#462—611no—
1055#462—611no—
1056#462—611no—
1057#460—611no—
1058#460—611no—
1059#452—611no—
1060#452—611no—
1061#452—611no—
1062#452—611no—
1063#452—611no—
1064#452—611no—
1065#452—611no—
1066#452—611no—
1067#452—611no—
1068#452—611no—
1069#452—611no—
1070#452—611no—
1071#452C2×D6111yescharacteristic
1072#452C2×D6111yescharacteristic
1073#451—611no—
1074#451—611no—
1075#451—611no—
1076#451—611no—
1077#451—611no—
1078#451—611no—
1079#451—611no—
1080#451—611no—
1081#451—611no—
1082#451C2×D6111yescharacteristic
1083#451C2×D6111yescharacteristic
1084#449—611no—
1085#449—611no—
1086#449—611no—
1087#449—611no—
1088#449C2×D6111yescharacteristic
1089#449C2×D6111yescharacteristic
1090#448—611no—
1091#448—611no—
1092#448—611no—
1093#448C2×D6111yescharacteristic
1094#448C2×D6111yescharacteristic
1095#441—611no—
1096#441—611no—
1097#441—611no—
1098#441—611no—
1099#441—611no—
1100#441—611no—
1101#440—611no—
1102#440—611no—
1103#435—611no—
1104#435—611no—
1105#435—611no—
1106#435—611no—
1107#435—611no—
1108#435—611no—
1109#435—611no—
1110#435—611no—
1111#432—611no—
1112#432—611no—
1113#419—611no—
1114#419—611no—
1115#417—611no—
1116#417C2×D6111yescharacteristic
1117#416—611no—
1118#416—611no—
1119C2×#103—611no—
1120C2×#103C2×D6111yescharacteristic
1121#408—611no—
1122#408—611no—
1123#408—611no—
1124#408C2×D6111yescharacteristic
1125C61#6167211yescharacteristic, complemented, Sylow
11262−1+4—42no—
11272−1+4—42no—
11282−1+4—2442no—
11292−1+4—2442no—
1130C2×#41—21no—
1131C2×#41—21no—
1132C2×#41—21no—
1133C2×#41—611no—
1134C2×#41—611no—
1135C2×#41—611no—
1136C2×#41—611no—
1137C2×#41—611no—
1138C2×#41—1221no—
1139C2×#41—1221no—
1140C2×#41—1221no—
1141C2×#41C22×D6111yescharacteristic
1142C2×#41C22×D6111yescharacteristic
1143C2×#41C22×D6111yescharacteristic
1144C2×#41C22×D6111yescharacteristic
1145C2×#41C22×D6111yescharacteristic
1146C22×Q8—21no—
1147C22×Q8—611no—
1148C22×Q8—611no—
1149C22×Q8—611no—
1150C22×Q8—611no—
1151C22×Q8—1221no—
1152C22×Q8C22×D6111yescharacteristic
1153C22×Q8C22×D6111yescharacteristic
1154C22×Q8C22×D6111yescharacteristic
1155#137—42no—
1156#137—2442no—
1157#137—2442no—
1158#137—2442no—
1159#135—42no—
1160#135—2442no—
1161C2×Q16—611no—
1162C2×Q16—611no—
1163C2×Q16—611no—
1164C2×Q16—611no—
1165C2×Q16—611no—
1166C2×Q16—611no—
1167C2×Q16—611no—
1168C2×Q16—611no—
1169C2×Q16—611no—
1170C2×Q16—2442no—
1171C2×Q16—2442no—
1172C2×Q16C22×D6111yescharacteristic
1173C2×Q16C22×D6111yescharacteristic
1174C2×Q16C22×D6111yescharacteristic
1175C2×SD16—611no—
1176C2×SD16—611no—
1177C2×SD16—611no—
1178C2×SD16—611no—
1179C2×SD16—611no—
1180C2×SD16—611no—
1181C2×SD16C22×D6111yescharacteristic
1182C2×SD16C22×D6111yescharacteristic
1183C2×SD16C22×D6111yescharacteristic
1184C2×SD16C22×D6111yescharacteristic
1185C2×D8—611no—
1186C2×D8C22×D6111yescharacteristic
1187C2×M16—611no—
1188C2×M16—611no—
1189C2×M16—611no—
1190C2×M16C22×D6111yescharacteristic
1191C22×C8—611no—
1192C22×C8—611no—
1193C22×C8—611no—
1194C22×C8C22×D6111yescharacteristic
1195C4⋊Q8—611no—
1196C4⋊Q8—611no—
1197C4⋊Q8—611no—
1198C4⋊Q8—611no—
1199C4⋊Q8—1221no—
1200C4⋊Q8—1221no—
1201C4⋊Q8—1221no—
1202C4⋊Q8—1221no—
1203C4⋊Q8—1221no—
1204#127—611no—
1205#127—611no—
1206#127—1221no—
1207#127—1221no—
1208#126—1221no—
1209#126—1221no—
1210#126—1221no—
1211#125—611no—
1212#125—1221no—
1213#125—1221no—
1214#125—1221no—
1215#125—1221no—
1216#124—611no—
1217#124—611no—
1218#124—611no—
1219#124—611no—
1220#124—611no—
1221#124—1221no—
1222#124—1221no—
1223#124—1221no—
1224#124—1221no—
1225#124—1221no—
1226#124—1221no—
1227#124—1221no—
1228#124—1221no—
1229#124—1221no—
1230#124—1221no—
1231#123—1221no—
1232#123—1221no—
1233#123—1221no—
1234#123—1221no—
1235#123—1221no—
1236#123—1221no—
1237#123—1221no—
1238#123—1221no—
1239#123—1221no—
1240C22⋊Q8—21no—
1241C22⋊Q8—611no—
1242C22⋊Q8—611no—
1243C22⋊Q8—611no—
1244C22⋊Q8—611no—
1245C22⋊Q8—611no—
1246C22⋊Q8—611no—
1247C22⋊Q8—611no—
1248C22⋊Q8—611no—
1249C22⋊Q8—611no—
1250C22⋊Q8—611no—
1251C22⋊Q8—611no—
1252C22⋊Q8—1221no—
1253C22⋊Q8—1221no—
1254C22⋊Q8—1221no—
1255C22⋊Q8—1221no—
1256C22⋊Q8—1221no—
1257C22⋊Q8—1221no—
1258C22⋊Q8—1221no—
1259C22⋊Q8—1221no—
1260C22⋊Q8—1221no—
1261C22⋊Q8—1221no—
1262C22⋊Q8—1221no—
1263C22⋊Q8—1221no—
1264C22⋊Q8—1221no—
1265C22⋊Q8—1221no—
1266C22⋊Q8—1221no—
1267C22⋊Q8—1221no—
1268C22⋊Q8—1221no—
1269C22⋊Q8—1221no—
1270C22⋊Q8C22×D6111yescharacteristic
1271C22⋊Q8C22×D6111yescharacteristic
1272#121—21no—
1273#121—21no—
1274#121—21no—
1275#121—611no—
1276#121—611no—
1277#121—611no—
1278#121—611no—
1279#121—611no—
1280#121—611no—
1281#121—611no—
1282#121—611no—
1283#121—611no—
1284#121—1221no—
1285#121—1221no—
1286#121—1221no—
1287#121—1221no—
1288#121—1221no—
1289#121—1221no—
1290#121—1221no—
1291#121—1221no—
1292#121—1221no—
1293#121—1221no—
1294#121—1221no—
1295#121—1221no—
1296#121—1221no—
1297#121—1221no—
1298#121—1221no—
1299#121—1221no—
1300#121—1221no—
1301#121—1221no—
1302#121—1221no—
1303#121—1221no—
1304#121—1221no—
1305#121—1221no—
1306#121—1221no—
1307#121C22×D6111yescharacteristic
1308#121C22×D6111yescharacteristic
1309C4×Q8—611no—
1310C4×Q8—611no—
1311C4×Q8—611no—
1312C4×Q8—611no—
1313C4×Q8—611no—
1314C4×Q8—611no—
1315C4×Q8—611no—
1316C4×Q8—1221no—
1317C4×Q8—1221no—
1318C4×Q8—1221no—
1319C4×D4—611no—
1320C4×D4—611no—
1321C4×D4—611no—
1322C4×D4—611no—
1323C4×D4—611no—
1324C4×D4—1221no—
1325C4×D4—1221no—
1326C4×D4—1221no—
1327C4×D4—1221no—
1328C4×D4—1221no—
1329C4×D4—1221no—
1330C4×D4—1221no—
1331C4×D4—1221no—
1332C4×D4—1221no—
1333C4×D4—1221no—
1334C4×D4—1221no—
1335C4×D4—1221no—
1336C4×D4—1221no—
1337C4×D4—1221no—
1338C4×D4—1221no—
1339#117—611no—
1340#117—611no—
1341#117—1221no—
1342#117—1221no—
1343#117—1221no—
1344#117—1221no—
1345#117—1221no—
1346C2×C4⋊C4—611no—
1347C2×C4⋊C4—611no—
1348C2×C4⋊C4—1221no—
1349C2×C4⋊C4—1221no—
1350C2×C4⋊C4C22×D6111yescharacteristic
1351C2×C42—611no—
1352C2×C42—1221no—
1353#107—611no—
1354#107—611no—
1355#106—611no—
1356#106—611no—
1357#106—611no—
1358#106—611no—
1359#106—611no—
1360#106—611no—
1361C4⋊C8—611no—
1362C4⋊C8—611no—
1363C4⋊C8—611no—
1364C4⋊C8—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#103—611no—
1375#103—611no—
1376#103—611no—
1377#103—611no—
1378#103—611no—
1379#103—611no—
1380#103—611no—
1381#103C22×D6111yescharacteristic
1382#103C22×D6111yescharacteristic
1383#103C22×D6111yescharacteristic
1384#103C22×D6111yescharacteristic
1385#103C22×D6111yescharacteristic
1386#103C22×D6111yescharacteristic
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#102C22×D6111yescharacteristic
1396#102C22×D6111yescharacteristic
1397C22⋊C8—611no—
1398C22⋊C8—611no—
1399C22⋊C8—611no—
1400C22⋊C8—611no—
1401C22⋊C8—611no—
1402C22⋊C8—611no—
1403C22⋊C8—611no—
1404C22⋊C8—611no—
1405C22⋊C8C22×D6111yescharacteristic
1406C22⋊C8C22×D6111yescharacteristic
1407C22⋊C8C22×D6111yescharacteristic
1408C22⋊C8C22×D6111yescharacteristic
1409#97—611no—
1410#97—611no—
1411#97—611no—
1412#97—611no—
1413#41—22no—
1414#41—22no—
1415#41—41no—
1416#41—41no—
1417#41—41no—
1418#41—41no—
1419#41—41no—
1420#41—41no—
1421#41—44no—
1422#41—44no—
1423#41—41no—
1424#41—41no—
1425#41—44no—
1426#41—1222no—
1427#41—1222no—
1428#41—2441no—
1429#41—2441no—
1430#41—2441no—
1431#41—2441no—
1432#41—2444no—
1433#41—2444no—
1434#41—2441no—
1435#41—2441no—
1436#41—2441no—
1437#41—2441no—
1438#41—2444no—
1439C2×Q8—22no—
1440C2×Q8—22no—
1441C2×Q8—21no—
1442C2×Q8—21no—
1443C2×Q8—21no—
1444C2×Q8—22no—
1445C2×Q8—22no—
1446C2×Q8—41no—
1447C2×Q8—41no—
1448C2×Q8—44no—
1449C2×Q8—611no—
1450C2×Q8—611no—
1451C2×Q8—611no—
1452C2×Q8—611no—
1453C2×Q8—1221no—
1454C2×Q8—1221no—
1455C2×Q8—1221no—
1456C2×Q8—1221no—
1457C2×Q8—1221no—
1458C2×Q8—1222no—
1459C2×Q8—1222no—
1460C2×Q8—2441no—
1461C2×Q8—2441no—
1462C2×Q8—2441no—
1463C2×Q8—2441no—
1464C2×Q8—2441no—
1465C2×Q8—2441no—
1466C2×Q8—2444no—
1467C2×Q8D4×D6111yescharacteristic
1468C2×Q8C23×D6111yescharacteristic
1469C2×Q8C23×D6111yescharacteristic
1470C2×Q8C23×D6111yescharacteristic
1471C2×Q8C23×D6111yescharacteristic
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—611no—
1479C2×D4—611no—
1480C2×D4—611no—
1481C2×D4—611no—
1482C2×D4—611no—
1483C2×D4—611no—
1484C2×D4—611no—
1485C2×D4—611no—
1486C2×D4—1221no—
1487C2×D4—1221no—
1488C2×D4—1221no—
1489C2×D4—1221no—
1490C2×D4—1221no—
1491C2×D4—1221no—
1492C2×D4—1221no—
1493C2×D4—1221no—
1494C2×D4—1221no—
1495C2×D4—1221no—
1496C2×D4—1221no—
1497C2×D4D4×D6111yescharacteristic
1498C2×D4D4×D6111yescharacteristic
1499C2×D4D4×D6111yescharacteristic
1500C2×D4C23×D6111yescharacteristic
1501C2×D4C23×D6111yescharacteristic
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—611no—
1511C22×C4—611no—
1512C22×C4—611no—
1513C22×C4—611no—
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×C4C23×D6111yescharacteristic
1526C22×C4C23×D6111yescharacteristic
1527C22×C4C23×D6111yescharacteristic
1528Q16—22no—
1529Q16—22no—
1530Q16—41no—
1531Q16—1222no—
1532Q16—1222no—
1533Q16—1222no—
1534Q16—1222no—
1535Q16—2441no—
1536Q16—2441no—
1537Q16—2441no—
1538Q16—2441no—
1539Q16—2441no—
1540SD16—22no—
1541SD16—22no—
1542SD16—41no—
1543SD16—41no—
1544SD16—2441no—
1545SD16—2441no—
1546SD16—2441no—
1547SD16—2441no—
1548SD16—2441no—
1549SD16—2441no—
1550D8—41no—
1551D8—2441no—
1552M16—41no—
1553M16—2441no—
1554M16—2441no—
1555M16—2441no—
1556C2×C8—41no—
1557C2×C8—611no—
1558C2×C8—611no—
1559C2×C8—611no—
1560C2×C8—611no—
1561C2×C8—2441no—
1562C2×C8—2441no—
1563C2×C8—2441no—
1564C2×C8C23×D6111yescharacteristic
1565C2×C8C23×D6111yescharacteristic
1566C2×C8C23×D6111yescharacteristic
1567C2×C8C23×D6111yescharacteristic
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—611no—
1572C4⋊C4—611no—
1573C4⋊C4—611no—
1574C4⋊C4—611no—
1575C4⋊C4—611no—
1576C4⋊C4—611no—
1577C4⋊C4—611no—
1578C4⋊C4—611no—
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⋊C4—1221no—
1603C4⋊C4—1221no—
1604C4⋊C4—1221no—
1605C4⋊C4—1221no—
1606C4⋊C4C23×D6111yescharacteristic
1607C4⋊C4C23×D6111yescharacteristic
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—611no—
1619C22⋊C4—611no—
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⋊C4—1221no—
1634C22⋊C4—1221no—
1635C22⋊C4—1221no—
1636C22⋊C4—1221no—
1637C22⋊C4—1221no—
1638C22⋊C4—1221no—
1639C22⋊C4—1221no—
1640C22⋊C4—1221no—
1641C22⋊C4—1221no—
1642C22⋊C4—1221no—
1643C22⋊C4—1221no—
1644C22⋊C4—1221no—
1645C42—611no—
1646C42—611no—
1647C42—611no—
1648C42—611no—
1649C42—1221no—
1650C42—1221no—
1651C42—1221no—
1652C42—1221no—
1653C42—1221no—
1654C42—1221no—
1655C42—1221no—
1656C42—1221no—
1657C42—1221no—
1658C23—21no—
1659C23—21no—
1660C23—611no—
1661C23—611no—
1662C23—1221no—
1663C23C2×D4×D6111yescharacteristic
1664C23C2×D4×D6111yescharacteristic
1665C23C2×D4×D6111yescharacteristic
1666Q8—24no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—21no—
1673Q8—41no—
1674Q8—42no—
1675Q8—42no—
1676Q8—1221no—
1677Q8—1221no—
1678Q8—1221no—
1679Q8—1221no—
1680Q8—1221no—
1681Q8—1221no—
1682Q8—4881no—
1683Q8—4881no—
1684Q8—4881no—
1685Q8—2441no—
1686Q8—2442no—
1687Q8—2442no—
1688Q8#1451982212yes—
1689Q8#1451982212yes—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—21no—
1694D4—41no—
1695D4—41no—
1696D4—41no—
1697D4—42no—
1698D4—42no—
1699D4—42no—
1700D4—81no—
1701D4—81no—
1702D4—81no—
1703D4—1221no—
1704D4—1221no—
1705D4—4881no—
1706D4—4881no—
1707D4—4881no—
1708D4—4881no—
1709D4—4881no—
1710D4—4881no—
1711D4—4881no—
1712D4—2441no—
1713D4—2442no—
1714D4—2442no—
1715D4—2441no—
1716D4—2441no—
1717D4—2441no—
1718D4—2441no—
1719D4—2441no—
1720D4—2441no—
1721D4—2442no—
1722D4—2442no—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—81no—
1742C2×C4—81no—
1743C2×C4—611no—
1744C2×C4—611no—
1745C2×C4—611no—
1746C2×C4—611no—
1747C2×C4—611no—
1748C2×C4—611no—
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—1221no—
1760C2×C4—4881no—
1761C2×C4—4881no—
1762C2×C4—4881no—
1763C2×C4—4881no—
1764C2×C4—4881no—
1765C2×C4—2442no—
1766C2×C4—2442no—
1767C2×C4—2442no—
1768C2×C4—2442no—
1769C2×C4—2442no—
1770C2×C4—2441no—
1771C2×C4—2441no—
1772C2×C4—2442no—
1773C2×C4C2×D4×D6111yescharacteristic
1774C2×C4C2×D4×D6111yescharacteristic
1775C2×C4C2×D4×D6111yescharacteristic
1776C2×C4C24×D6111yescharacteristic
1777C8—21no—
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—1221no—
1782C8—1221no—
1783C8—1221no—
1784C8—1221no—
1785C22—21no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—21no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—1221no—
1801C22—1221no—
1802C22—1221no—
1803C22—1221no—
1804C22—1221no—
1805C22—1221no—
1806C22—2441no—
1807C22—2441no—
1808C22—2441no—
1809C22C22×D4×D6111yescharacteristic
1810C4—22no—
1811C4—22no—
1812C4—21no—
1813C4—21no—
1814C4—21no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—1221no—
1820C4—1221no—
1821C4—1221no—
1822C4—1221no—
1823C4—1221no—
1824C4—1221no—
1825C4—2441no—
1826C4—2441no—
1827C4—2441no—
1828C4—2441no—
1829C4—2441no—
1830C4—2441no—
1831C4—2441no—
1832C4C2×#1451982211yescharacteristic
1833C4C2×#1451982211yescharacteristic
1834C2—41no—
1835C2—41no—
1836C2—41no—
1837C2—81no—
1838C2—81no—
1839C2—4881no—
1840C2—2441no—
1841C2—2441no—
1842C2#2145944811yescharacteristic
1843C2#2146060111yescharacteristic
1844C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3013C2
socleC22×C61C23×D4
hypercenter#3013D61
hypocenterC61#61672
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3013

Complements

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

NH ≅ G/Ntype
1. #21460198C2semidirect
2. #21459586C2semidirect
3. #21458009C2semidirect
4. #21457998C2semidirect
5. #21457949C2semidirect
6. #21457946C2semidirect
7. #21457931C2semidirect
8. #21457926C2semidirect
9. #21457866C2semidirect
10. #21457863C2semidirect
11. #21457404C2semidirect
12. #21457402C2semidirect
13. #21457393C2semidirect
14. #21457387C2semidirect
15. #21457383C2semidirect
16. #21457382C2semidirect
17. #21457374C2semidirect
18. #21457368C2semidirect
19. #21456854C2semidirect
20. #21456827C2semidirect
21. #21456728C2semidirect
22. #21456725C2semidirect
23. #21456703C2semidirect
24. #21456700C2semidirect
25. #21455985C2semidirect
26. #21455944C2semidirect
27. #21455129C2semidirect
28. #21455114C2semidirect
29. #21455109C2semidirect
30. #21454888C2semidirect
31. C61×#3013C2semidirect
939. #3013D61semidirect
1125. C61#61672semidirect

Maximal subgroups

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

subgroupindex
#214601982
#214595862
#214580092
#214579982
#214579492
#214579462
#214579312
#214579262
#214578662
#214578632
#214574042
#214574022
#214573932
#214573872
#214573832
#214573822
#214573742
#214573682
#214568542
#214568272
#214567282
#214567252
#214567032
#214567002
#214559852
#214559442
#214551292
#214551142
#214551092
#214548882
C61×#30132
#6167261