Finite Group Databasebeta

← #30562701

Subgroups — #30562701

Order 15616.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459924C211yesmaximal, characteristic, complemented
2#21458815C211yesmaximal, characteristic, complemented
3#21458694C211yesmaximal, characteristic, complemented
4#21458655C211yesmaximal, characteristic, complemented
5#21458572C211yesmaximal, characteristic, complemented
6#21458226C211yesmaximal, characteristic, complemented
7#21458198C211yesmaximal, characteristic, complemented
8#21458192C211yesmaximal, characteristic, complemented
9#21458081C211yesmaximal, characteristic, complemented
10#21458020C211yesmaximal, characteristic, complemented
11#21457975C211yesmaximal, characteristic, complemented
12#21457915C211yesmaximal, characteristic, complemented
13#21457879C211yesmaximal, characteristic, complemented
14#21457819C211yesmaximal, characteristic, complemented
15#21457545C211yesmaximal, characteristic, complemented
16#21457522C211yesmaximal, characteristic, complemented
17#21457522C211yesmaximal, characteristic, complemented
18#21456448C211yesmaximal, characteristic, complemented
19#21456430C211yesmaximal, characteristic, complemented
20#21456383C211yesmaximal, characteristic, complemented
21#21456114C211yesmaximal, characteristic, complemented
22#21456081C211yesmaximal, characteristic, complemented
23#21456075C211yesmaximal, characteristic, complemented
24#21456062C211yesmaximal, characteristic, complemented
25#21455928C211yesmaximal, characteristic, complemented
26#21455922C211yesmaximal, characteristic, complemented
27#21454795C211yesmaximal, characteristic, complemented
28#21454700C211yesmaximal, characteristic, complemented
29#21454676C211yesmaximal, characteristic, complemented
30C4×#14519797C211yesmaximal, characteristic, complemented
31C61×#3521C211yesmaximal, characteristic, complemented
32C2×#14519797C2211yescharacteristic
33C2×#14519797C2211yescharacteristic
34C22×#11758200C2211yescharacteristic
35#16840497C2211yescharacteristic, complemented
36#16840496—21no—
37#16840490C2211yescharacteristic, complemented
38#16840477C2211yescharacteristic
39#16840474—21no—
40#16840458C2211yescharacteristic
41#16840457—21no—
42#16840452C2211yescharacteristic, complemented
43#16840444—21no—
44#16840433C2211yescharacteristic, complemented
45#16840421C2211yescharacteristic
46#16840421C2211yescharacteristic
47#16840383C2211yescharacteristic, complemented
48#16840382—21no—
49#16840367C2211yescharacteristic
50#16840362—21no—
51#16840296C2211yescharacteristic, complemented
52#16840295—21no—
53#16840295—21no—
54#16840242C2211yescharacteristic, complemented
55#16840239C2211yescharacteristic
56C4×#11758222C2211yescharacteristic, complemented
57#16840161C2211yescharacteristic, complemented
58#16840161C2211yescharacteristic, complemented
59#16840158C2211yescharacteristic, complemented
60#16840144C2211yescharacteristic
61#16840144C2211yescharacteristic
62#16840136C2211yescharacteristic, complemented
63#16840130C2211yescharacteristic, complemented
64#16840128C2211yescharacteristic, complemented
65#16840124C2211yescharacteristic, complemented
66#16840121C2211yescharacteristic
67#16840119C2211yescharacteristic, complemented
68#16840116C2211yescharacteristic
69#16840103C2211yescharacteristic, complemented
70#16840100C2211yescharacteristic
71#16840100C2211yescharacteristic
72#16840100C2211yescharacteristic, complemented
73#16840097C2211yescharacteristic, complemented
74#16840095C2211yescharacteristic, complemented
75#16840086C2211yescharacteristic
76#16840086C2211yescharacteristic
77#16840086C2211yescharacteristic, complemented
78#16840083C2211yescharacteristic
79#16840075C2211yescharacteristic, complemented
80#16840073C2211yescharacteristic
81#16840069C2211yescharacteristic, complemented
82#16840066C2211yescharacteristic, complemented
83#16840066C2211yescharacteristic, complemented
84#16840066C2211yescharacteristic, complemented
85#16840062C2211yescharacteristic
86#16840062C2211yescharacteristic
87#16840062C2211yescharacteristic
88#16840059C2211yescharacteristic, complemented
89#16840057C2211yescharacteristic, complemented
90#16840054C2211yescharacteristic, complemented
91#16840042C2211yescharacteristic
92#16840039C2211yescharacteristic, complemented
93#16840018C2211yescharacteristic, complemented
94#16840013C2211yescharacteristic
95#16840010C2211yescharacteristic
96#16840010C2211yescharacteristic
97#16840001C2211yescharacteristic, complemented
98#16839996C2211yescharacteristic
99#16839993C2211yescharacteristic
100#16839993C2211yescharacteristic
101#16839993C2211yescharacteristic, complemented
102#16839993C2211yescharacteristic, complemented
103#16839989C2211yescharacteristic
104#16839989C2211yescharacteristic
105#16839984C2211yescharacteristic, complemented
106#16839984C2211yescharacteristic, complemented
107#16839981C2211yescharacteristic
108#16839981C2211yescharacteristic
109#16839977C2211yescharacteristic
110#16839977C2211yescharacteristic
111#16839974C2211yescharacteristic
112#16839974C2211yescharacteristic
113#16839969C2211yescharacteristic, complemented
114#16839969C2211yescharacteristic, complemented
115#16839957C2211yescharacteristic
116#16839957C2211yescharacteristic
117#16839924C2211yescharacteristic
118#16839924C2211yescharacteristic
119#16839922C2211yescharacteristic, complemented
120#16839922C2211yescharacteristic, complemented
121#16839917C2211yescharacteristic
122#16839917C2211yescharacteristic
123#16839907C2211yescharacteristic
124#16839907C2211yescharacteristic
125#16839905C2211yescharacteristic
126#16839905C2211yescharacteristic
127#16839896C2211yescharacteristic
128#16839896C2211yescharacteristic
129#16839893C2211yescharacteristic, complemented
130Q8×#92418C2211yescharacteristic, complemented
131#16839872C2211yescharacteristic
132#16839872C2211yescharacteristic
133#16839872C2211yescharacteristic
134#16839867C2211yescharacteristic, complemented
135#16839867C2211yescharacteristic, complemented
136#16839867C2211yescharacteristic, complemented
137#16839862C2211yescharacteristic
138#16839862C2211yescharacteristic
139#16839862C2211yescharacteristic
140#16839862C2211yescharacteristic
141#16839860C2211yescharacteristic, complemented
142#16839860C2211yescharacteristic, complemented
143C4×#11758202C2211yescharacteristic, complemented
144C4×#11758202C2211yescharacteristic, complemented
145C4×#11758202C2211yescharacteristic, complemented
146C4×#11758201C2211yescharacteristic, complemented
147C4×#11758201C2211yescharacteristic, complemented
148C4×#11758201C2211yescharacteristic, complemented
149C4×#11758201C2211yescharacteristic, complemented
150C4×#11758200C2211yescharacteristic
151C4×#11758200C2211yescharacteristic
152C4×#11758200C2211yescharacteristic
153C4×#11758200C2211yescharacteristic
154C4×#11758200C2211yescharacteristic
155C4×#11758200C2211yescharacteristic
156C4×#11758199C2211yescharacteristic
157C4×#11758199C2211yescharacteristic
158C4×#11758199C2211yescharacteristic
159#16839840C2211yescharacteristic
160#16839834C2211yescharacteristic
161#16839834C2211yescharacteristic, complemented
162D4×#92418C2211yescharacteristic
163D4×#92418C2211yescharacteristic
164D4×#92418C2211yescharacteristic, complemented
165#16839823C2211yescharacteristic
166#16839823C2211yescharacteristic, complemented
167#16839819C2211yescharacteristic, complemented
168#16839798C2211yescharacteristic
169#16839798C2211yescharacteristic, complemented
170C2×#14519708C2211yescharacteristic, complemented
171#16839770C2211yescharacteristic
172#16839767C2211yescharacteristic
173#16839763C2211yescharacteristic
174#16839761C2211yescharacteristic, complemented
175#16839758C2211yescharacteristic
176#16839756C2211yescharacteristic, complemented
177#16839718C2211yescharacteristic
178#16839718C2211yescharacteristic, complemented
179C2×C4×#92418C2211yescharacteristic, complemented
180C61×#556C2211yescharacteristic
181C61×#556C2211yescharacteristic
182C61×#554C2211yescharacteristic
183C61×#553—21no—
184C61×#553C2211yescharacteristic
185C61×#552—21no—
186C61×#552C2211yescharacteristic
187C61×#551—21no—
188C61×#551—21no—
189C61×#547C2211yescharacteristic
190C61×#546C2211yescharacteristic
191C61×#546C2211yescharacteristic
192C61×#542C2211yescharacteristic
193C61×#541C2211yescharacteristic
194C61×#539—21no—
195C61×#538—21no—
196C61×#529—21no—
197C61×#529C2211yescharacteristic
198C61×#529C2211yescharacteristic
199C2×#126×C61—21no—
200C61×#520C2211yescharacteristic
201C61×#518C2211yescharacteristic
202C4×#41×C61C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C22×Dic122C2311yescharacteristic
206#14519797—24no—
207#14519797—24no—
208C2×#11758202C2311yescharacteristic
209C2×#11758202C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758200—24no—
213C2×#11758200C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758199C2311yescharacteristic
224C2×#11758199C2311yescharacteristic
225C2×#11758194C2311yescharacteristic
226C2×#11758194C2311yescharacteristic
227C22×#92418C2311yescharacteristic
228C22×#92418C2311yescharacteristic
229C22×#92418C2311yescharacteristic
230C22×#92418C2311yescharacteristic
231#14519777C2311yescharacteristic
232#14519775—21no—
233#14519774C2311yescharacteristic
234#14519773—21no—
235#14519772—21no—
236#14519772—21no—
237#14519771—21no—
238#14519770—21no—
239#14519769C2311yescharacteristic
240#14519769C2311yescharacteristic
241#14519767—21no—
242#14519767—21no—
243#14519767—21no—
244#14519766—21no—
245#14519765C2311yescharacteristic
246#14519765C2311yescharacteristic
247#14519763—21no—
248#14519763—21no—
249#14519763—21no—
250#14519763—21no—
251#14519763—21no—
252#14519762—21no—
253#14519762—21no—
254#14519762—21no—
255#14519762—21no—
256#14519760—21no—
257#14519759—21no—
258#14519759—21no—
259#14519758—21no—
260#14519756C2311yescharacteristic
261#14519756C2311yescharacteristic
262#14519755—21no—
263#14519755—21no—
264#14519755—21no—
265#14519751C2311yescharacteristic
266#14519751C2311yescharacteristic
267#14519751C2311yescharacteristic
268#14519751C2311yescharacteristic
269#14519750—21no—
270#14519750—21no—
271#14519750—21no—
272#14519750—21no—
273#14519749—21no—
274#14519749—21no—
275#14519749—21no—
276#14519748—21no—
277C4×Dic122C2311yescharacteristic
278C4×Dic122C2311yescharacteristic
279C4×Dic122C2311yescharacteristic
280C4×Dic122C2311yescharacteristic
281C4×Dic122C2311yescharacteristic
282C4×Dic122C2311yescharacteristic
283#14519742—21no—
284#14519742—21no—
285#14519742—21no—
286C4×D244C2311yescharacteristic
287C4×D244C2311yescharacteristic
288C4×D244C2311yescharacteristic
289C4×D244C2311yescharacteristic
290#14519739—21no—
291#14519739—21no—
292C4×C22⋊D61—21no—
293C4×C22⋊D61—21no—
294C4×C22⋊D61—21no—
295#14519737—21no—
296#14519737—21no—
297#14519737—21no—
298#14519737—21no—
299#14519737—21no—
300#14519736C2311yescharacteristic
301#14519736C2311yescharacteristic
302#14519735—21no—
303#14519735—21no—
304#14519734—21no—
305#14519734—21no—
306#14519733—21no—
307#14519733—21no—
308#14519733—21no—
309C2×C4⋊Dic61C2311yescharacteristic
310C4⋊C4×D61—21no—
311C42×D61—21no—
312#14519710C2311yescharacteristic
313#14519710C2311yescharacteristic
314#14519710C2311yescharacteristic
315#14519710C2311yescharacteristic
316#14519710C2311yescharacteristic
317#14519710C2311yescharacteristic
318#14519710C2311yescharacteristic
319#14519710C2311yescharacteristic
320#14519708C2311yescharacteristic
321#14519708C2311yescharacteristic
322#14519708C2311yescharacteristic
323#14519708C2311yescharacteristic
324#14519708C2311yescharacteristic
325#14519708C2311yescharacteristic
326#14519708C2311yescharacteristic
327#14519708C2311yescharacteristic
328C4⋊#92418C2311yescharacteristic
329C4⋊#92418C2311yescharacteristic
330C4⋊#92418C2311yescharacteristic
331C4⋊#92418C2311yescharacteristic
332C4⋊#92418C2311yescharacteristic
333C4⋊#92418C2311yescharacteristic
334#14519701C2311yescharacteristic
335#14519701C2311yescharacteristic
336#14519701C2311yescharacteristic
337#14519701C2311yescharacteristic
338#14519701C2311yescharacteristic
339#14519701C2311yescharacteristic
340#14519701C2311yescharacteristic
341#14519701C2311yescharacteristic
342#14519700C2311yescharacteristic
343#14519700C2311yescharacteristic
344#14519700C2311yescharacteristic
345#14519700C2311yescharacteristic
346#14519700C2311yescharacteristic
347#14519700C2311yescharacteristic
348#14519700C2311yescharacteristic
349#14519700C2311yescharacteristic
350#14519698C2311yescharacteristic
351#14519698C2311yescharacteristic
352#14519698C2311yescharacteristic
353#14519698C2311yescharacteristic
354#14519698C2311yescharacteristic
355#14519698C2311yescharacteristic
356#14519698C2311yescharacteristic
357#14519698C2311yescharacteristic
358#14519697C2311yescharacteristic
359#14519697C2311yescharacteristic
360#14519697C2311yescharacteristic
361#14519697C2311yescharacteristic
362#14519697C2311yescharacteristic
363#14519697C2311yescharacteristic
364#14519697C2311yescharacteristic
365#14519697C2311yescharacteristic
366C22⋊#92418C2311yescharacteristic
367C22⋊#92418C2311yescharacteristic
368C22⋊#92418C2311yescharacteristic
369C22⋊#92418C2311yescharacteristic
370C22⋊#92418C2311yescharacteristic
371C22⋊#92418C2311yescharacteristic
372#14519688C2311yescharacteristic
373#14519688C2311yescharacteristic
374#14519688C2311yescharacteristic
375#14519688C2311yescharacteristic
376C4×#92418C2311yescharacteristic
377C4×#92418C2311yescharacteristic
378C4×#92418C2311yescharacteristic
379C4×#92418C2311yescharacteristic
380C4×#92418C2311yescharacteristic
381C4×#92418C2311yescharacteristic
382C2×#41×C61C2311yescharacteristic
383C2×#41×C61C2311yescharacteristic
384C22×D4×C61C2311yescharacteristic
385C4⋊Q8×C61C2311yescharacteristic
386C4⋊Q8×C61C2311yescharacteristic
387#126×C61—21no—
388#126×C61—21no—
389#126×C61—21no—
390#126×C61—21no—
391#126×C61—21no—
392#126×C61—21no—
393#126×C61—21no—
394#126×C61—21no—
395#126×C61—21no—
396#126×C61—21no—
397#126×C61D411yescharacteristic
398#126×C61D411yescharacteristic
399#125×C61—21no—
400#125×C61—21no—
401#125×C61—21no—
402#125×C61D411yescharacteristic
403#125×C61C2311yescharacteristic
404#125×C61C2311yescharacteristic
405#124×C61—21no—
406#124×C61—21no—
407#124×C61D411yescharacteristic
408#124×C61C2311yescharacteristic
409#124×C61C2311yescharacteristic
410#123×C61—21no—
411#123×C61—21no—
412#123×C61—21no—
413#123×C61—21no—
414#123×C61—21no—
415#123×C61—21no—
416#123×C61—21no—
417#123×C61—21no—
418#123×C61D411yescharacteristic
419#123×C61D411yescharacteristic
420C22⋊Q8×C61—21no—
421C22⋊Q8×C61—21no—
422C22⋊Q8×C61—21no—
423C22⋊Q8×C61—21no—
424C22⋊Q8×C61—21no—
425C22⋊Q8×C61D411yescharacteristic
426C22⋊Q8×C61C2311yescharacteristic
427C22⋊Q8×C61C2311yescharacteristic
428C22⋊Q8×C61C2311yescharacteristic
429C22⋊Q8×C61C2311yescharacteristic
430#121×C61—21no—
431#121×C61—21no—
432#121×C61—21no—
433#121×C61—21no—
434#121×C61D411yescharacteristic
435#121×C61C2311yescharacteristic
436#121×C61C2311yescharacteristic
437#120×C61—21no—
438#120×C61—21no—
439C4×Q8×C61—21no—
440C4×Q8×C61C2311yescharacteristic
441C4×Q8×C61C2311yescharacteristic
442C4×Q8×C61C2311yescharacteristic
443C4×Q8×C61C2311yescharacteristic
444C4×Q8×C61C2311yescharacteristic
445C4×D4×C61—21no—
446C4×D4×C61—21no—
447C4×D4×C61—21no—
448C4×D4×C61—21no—
449C4×D4×C61—21no—
450C4×D4×C61—21no—
451C4×D4×C61—21no—
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61—21no—
463#117×C61—21no—
464#117×C61—21no—
465#117×C61—21no—
466#117×C61—21no—
467#117×C61C2311yescharacteristic
468#117×C61C2311yescharacteristic
469#117×C61C2311yescharacteristic
470#117×C61C2311yescharacteristic
471C2×C4⋊C4×C61—21no—
472C2×C4⋊C4×C61—21no—
473C2×C4⋊C4×C61—21no—
474C2×C4⋊C4×C61C2311yescharacteristic
475C2×C22⋊C4×C61—21no—
476C2×C22⋊C4×C61—21no—
477C2×C22⋊C4×C61—21no—
478C2×C22⋊C4×C61—21no—
479C2×C42×C61—21no—
480C2×C42×C61C2311yescharacteristic
481C24×C61—21no—
482#41×C61—22no—
483#41×C61—22no—
484#41×C61—41no—
485#41×C61—41no—
486C2×Q8×C61—21no—
487C2×Q8×C61C2×D411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×D4×C61—22no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—41no—
497C2×D4×C61C2×D411yescharacteristic
498C2×D4×C61C2×D411yescharacteristic
499C2×D4×C61C2×D411yescharacteristic
500C2×D4×C61C2411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61C2×D411yescharacteristic
512C22×C4×C61C2×D411yescharacteristic
513C22×C4×C61C2411yescharacteristic
514C22×C4×C61C2411yescharacteristic
515C22×C4×C61C2411yescharacteristic
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524#11758222—22no—
525#11758222—22no—
526#11758222—41no—
527#11758222—41no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244C2411yescharacteristic
531C2×D244C2411yescharacteristic
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×Dic122—22no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—41no—
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2×D411yescharacteristic
566C4⋊C4×C61C2×D411yescharacteristic
567C4⋊C4×C61C2×D411yescharacteristic
568C4⋊C4×C61C2×D411yescharacteristic
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61C2×D411yescharacteristic
593C22⋊C4×C61C2×D411yescharacteristic
594C22⋊C4×C61C2×D411yescharacteristic
595C22⋊C4×C61C2×D411yescharacteristic
596C22⋊C4×C61C2×D411yescharacteristic
597C22⋊C4×C61C2×D411yescharacteristic
598C22⋊C4×C61C2×D411yescharacteristic
599C22⋊C4×C61C2×D411yescharacteristic
600C22⋊C4×C61C2×D411yescharacteristic
601C22⋊C4×C61C2×D411yescharacteristic
602C42×C61—21no—
603C42×C61—21no—
604C42×C61—21no—
605C42×C61—21no—
606C42×C61—21no—
607C42×C61—21no—
608C42×C61C2×D411yescharacteristic
609C42×C61C2×D411yescharacteristic
610C42×C61C2411yescharacteristic
611C42×C61C2411yescharacteristic
612C42×C61C2411yescharacteristic
613C42×C61C2411yescharacteristic
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618#11758202—22no—
619#11758202—22no—
620#11758202—41no—
621#11758202—41no—
622#11758201—22no—
623#11758201—22no—
624#11758201—41no—
625#11758201—41no—
626#11758200—22no—
627#11758200—22no—
628#11758200—22no—
629#11758200#4114yes—
630#11758199—22no—
631#11758199—22no—
632#11758199—41no—
633#11758199—41no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61C2411yescharacteristic
649C4⋊Dic61C2411yescharacteristic
650C4⋊Dic61C2411yescharacteristic
651C4⋊Dic61C2411yescharacteristic
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672#11758194—41no—
673#11758194—41no—
674C2×#92418—22no—
675C2×#92418—22no—
676C2×#92418—22no—
677C2×#92418—41no—
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684C2×#92418C2411yescharacteristic
685C2×#92418C2411yescharacteristic
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—42no—
689C23×C61—81no—
690C23×C61—81no—
691C23×C61C22×D411yescharacteristic
692C23×C61C22×D411yescharacteristic
693C23×C61C22×D411yescharacteristic
694C22×D61—21no—
695C22×D61—21no—
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—41no—
701Q8×C61—81no—
702D4×C61—21no—
703D4×C61—21no—
704D4×C61—21no—
705D4×C61—41no—
706D4×C61—41no—
707D4×C61—41no—
708D4×C61—42no—
709D4×C61—42no—
710D4×C61—42no—
711D4×C61—81no—
712D4×C61—81no—
713D4×C61C2×#4112yes—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—41no—
727C2×C4×C61—41no—
728C2×C4×C61—42no—
729C2×C4×C61—42no—
730C2×C4×C61—81no—
731C2×C4×C61—81no—
732C2×C4×C61—81no—
733C2×C4×C61—81no—
734C2×C4×C61—81no—
735C2×C4×C61—81no—
736C2×C4×C61—81no—
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C2511yescharacteristic
749C22⋊D61—42no—
750C22⋊D61—42no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—42no—
762C2×Dic61—81no—
763D244—21no—
764D244—21no—
765D244—21no—
766D244—21no—
767D244—81no—
768D244—81no—
769C4×D61—42no—
770C4×D61—42no—
771C4×D61—81no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775Dic122—21no—
776Dic122—21no—
777Dic122—21no—
778Dic122—42no—
779Dic122—81no—
780Dic122C2×#4112yes—
781#92418—21no—
782#92418—21no—
783#92418—21no—
784#92418—21no—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418C2×#4112yes—
789#61486—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—22no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—162no—
806C22×C61C23×D411yescharacteristic
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—21no—
818C4×C61—21no—
819C4×C61—21no—
820C4×C61—21no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61C22×#4111yescharacteristic
831C4×C61#58511yescharacteristic
832Dic61—22no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838#3524—611no—
839#3521D6111yescharacteristic, complemented
840#3394—611no—
841#3381—611no—
842#3377—611no—
843#3370—611no—
844#3340—611no—
845#3337—611no—
846#3337—611no—
847#3327—611no—
848#3322—611no—
849#3319—611no—
850#3315—611no—
851#3313—611no—
852#3309—611no—
853#3284—611no—
854#3282—611no—
855#3282—611no—
856#3174—611no—
857#3173—611no—
858#3168—611no—
859#3127—611no—
860#3124—611no—
861#3124—611no—
862#3122—611no—
863#3111—611no—
864#3111—611no—
865#2966—611no—
866#2952—611no—
867#2949—611no—
868C4×#135—611no—
869C2×C61—41no—
870C2×C61—41no—
871C2×C61—41no—
872C2×C61—42no—
873C2×C61—81no—
874C2×C61D4×#4111yescharacteristic
875C2×C61#358411yescharacteristic
876C2×C61#358411yescharacteristic
877D61—81no—
878D61—81no—
879C2×#135—611no—
880C2×#135—611no—
881C22×SD16—611no—
882#559—611no—
883#559—1221no—
884#557—611no—
885#556C2×D6111yescharacteristic
886#556C2×D6111yescharacteristic
887#555—611no—
888#555—1221no—
889#554C2×D6111yescharacteristic
890#553—21no—
891#553—611no—
892#553—1221no—
893#553C2×D6111yescharacteristic
894#552—21no—
895#552—611no—
896#552—1221no—
897#552C2×D6111yescharacteristic
898#551—21no—
899#551—21no—
900#550—611no—
901#548—611no—
902#548—611no—
903#547C2×D6111yescharacteristic
904#546C2×D6111yescharacteristic
905#546C2×D6111yescharacteristic
906#542—611no—
907#542—1221no—
908#542C2×D6111yescharacteristic
909#541C2×D6111yescharacteristic
910#540—611no—
911#540—1221no—
912#539—21no—
913#538—21no—
914#529—21no—
915#529—611no—
916#529—1221no—
917#529—1221no—
918#529C2×D6111yescharacteristic
919#529C2×D6111yescharacteristic
920C2×#126—21no—
921#520—611no—
922#520C2×D6111yescharacteristic
923#519—611no—
924#518C2×D6111yescharacteristic
925C4×#41—611no—
926C4×#41C2×D6111yescharacteristic
927#499—611no—
928#499—611no—
929#498—611no—
930#495—611no—
931#495—611no—
932#492—611no—
933#491—611no—
934#490—611no—
935#489—611no—
936#489—611no—
937#488—611no—
938#488—611no—
939#485—611no—
940#485—611no—
941#485—611no—
942#485—611no—
943#484—611no—
944#484—611no—
945#482—611no—
946#482—611no—
947#482—611no—
948#482—611no—
949#480—611no—
950#480—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#477—611no—
960#477—611no—
961#474—611no—
962#474—611no—
963#470—611no—
964#469—611no—
965#468—611no—
966#468—611no—
967#467—611no—
968#466—611no—
969#465—611no—
970#465—611no—
971#465—611no—
972#465—611no—
973#465—611no—
974#465—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#462—611no—
984#462—611no—
985#459—611no—
986#459—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#451—611no—
992#451—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#449—611no—
997#447—611no—
998#447—611no—
999#446—611no—
1000C8×Q8—611no—
1001#442—611no—
1002#442—611no—
1003#442—611no—
1004#441—611no—
1005#441—611no—
1006#441—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—611no—
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×SD16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028C4×D8—611no—
1029#436—611no—
1030#435—611no—
1031#435—611no—
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4—611no—
1035#433—611no—
1036#433—611no—
1037#432—611no—
1038#427—611no—
1039#427—611no—
1040C2×#106—611no—
1041#419—611no—
1042#418—611no—
1043#417—611no—
1044#417—611no—
1045#416—611no—
1046#416—611no—
1047#405—611no—
1048#405—611no—
1049C2×C4×C8—611no—
1050C61#6148611yescharacteristic, complemented, Sylow
1051C2×#41—611no—
1052C2×#41—611no—
1053C2×#41C22×D6111yescharacteristic
1054C2×#41C22×D6111yescharacteristic
1055C22×Q8—611no—
1056C22×D4C22×D6111yescharacteristic
1057#135—1224no—
1058#135—1224no—
1059C2×Q16—611no—
1060C2×Q16—611no—
1061C2×Q16—611no—
1062C2×Q16—611no—
1063C2×SD16—611no—
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16—1224no—
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×M16—611no—
1077C2×M16—611no—
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8—611no—
1081C22×C8—611no—
1082C4⋊Q8—611no—
1083C4⋊Q8—1221no—
1084C4⋊Q8C22×D6111yescharacteristic
1085C4⋊Q8C22×D6111yescharacteristic
1086#127—611no—
1087#127—1221no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126C22⋊D6111yescharacteristic
1103#126C22⋊D6111yescharacteristic
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—611no—
1108#125—611no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125C22⋊D6111yescharacteristic
1113#125C22×D6111yescharacteristic
1114#125C22×D6111yescharacteristic
1115#124—21no—
1116#124—21no—
1117#124—611no—
1118#124—611no—
1119#124—1221no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124C22⋊D6111yescharacteristic
1126#124C22×D6111yescharacteristic
1127#124C22×D6111yescharacteristic
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123C22⋊D6111yescharacteristic
1145#123C22⋊D6111yescharacteristic
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—611no—
1152C22⋊Q8—611no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8C22⋊D6111yescharacteristic
1157C22⋊Q8C22×D6111yescharacteristic
1158C22⋊Q8C22×D6111yescharacteristic
1159C22⋊Q8C22×D6111yescharacteristic
1160C22⋊Q8C22×D6111yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—611no—
1166#121—611no—
1167#121—611no—
1168#121—611no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121—1221no—
1177#121C22⋊D6111yescharacteristic
1178#121C22×D6111yescharacteristic
1179#121C22×D6111yescharacteristic
1180#120—21no—
1181#120—21no—
1182C4×Q8—21no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—1221no—
1190C4×Q8—1221no—
1191C4×Q8—1221no—
1192C4×Q8C22×D6111yescharacteristic
1193C4×Q8C22×D6111yescharacteristic
1194C4×Q8C22×D6111yescharacteristic
1195C4×Q8C22×D6111yescharacteristic
1196C4×Q8C22×D6111yescharacteristic
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4C22×D6111yescharacteristic
1220C4×D4C22×D6111yescharacteristic
1221C4×D4C22×D6111yescharacteristic
1222C4×D4C22×D6111yescharacteristic
1223C4×D4C22×D6111yescharacteristic
1224C4×D4C22×D6111yescharacteristic
1225C4×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227C4×D4C22×D6111yescharacteristic
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117—21no—
1233#117—611no—
1234#117—611no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117C22×D6111yescharacteristic
1243#117C22×D6111yescharacteristic
1244#117C22×D6111yescharacteristic
1245#117C22×D6111yescharacteristic
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—21no—
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4—21no—
1253C2×C22⋊C4—21no—
1254C2×C22⋊C4—21no—
1255C2×C22⋊C4—21no—
1256C2×C42—21no—
1257C2×C42—1221no—
1258C2×C42C22×D6111yescharacteristic
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107—611no—
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8—611no—
1280C4⋊C8—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8—611no—
1318C22⋊C8—611no—
1319#97—611no—
1320#97—611no—
1321#97—611no—
1322#97—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8—611no—
1329C24—21no—
1330#41—22no—
1331#41—22no—
1332#41—41no—
1333#41—41no—
1334#41—1222no—
1335#41—1222no—
1336#41—2441no—
1337#41—2441no—
1338C2×Q8—21no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—1222no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8—2441no—
1345C2×Q8C2×C22⋊D6111yescharacteristic
1346C2×Q8C23×D6111yescharacteristic
1347C2×Q8C23×D6111yescharacteristic
1348C2×D4—22no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—41no—
1355C2×D4—611no—
1356C2×D4—611no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4C2×C22⋊D6111yescharacteristic
1366C2×D4C2×C22⋊D6111yescharacteristic
1367C2×D4C2×C22⋊D6111yescharacteristic
1368C2×D4C23×D6111yescharacteristic
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4C2×C22⋊D6111yescharacteristic
1388C22×C4C2×C22⋊D6111yescharacteristic
1389C22×C4C23×D6111yescharacteristic
1390C22×C4C23×D6111yescharacteristic
1391C22×C4C23×D6111yescharacteristic
1392Q16—1222no—
1393Q16—1222no—
1394Q16—2441no—
1395Q16—2441no—
1396SD16—614no—
1397SD16—1222no—
1398SD16—1222no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—1222no—
1402SD16—2441no—
1403SD16—2441no—
1404D8—1222no—
1405D8—1222no—
1406D8—2441no—
1407D8—2441no—
1408M16—2441no—
1409M16—2441no—
1410C2×C8—611no—
1411C2×C8—611no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—611no—
1417C2×C8—611no—
1418C2×C8—1222no—
1419C2×C8—1222no—
1420C2×C8—1222no—
1421C2×C8—2441no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4C2×C22⋊D6111yescharacteristic
1457C4⋊C4C2×C22⋊D6111yescharacteristic
1458C4⋊C4C2×C22⋊D6111yescharacteristic
1459C4⋊C4C2×C22⋊D6111yescharacteristic
1460C4⋊C4C2×C22⋊D6111yescharacteristic
1461C4⋊C4C2×C22⋊D6111yescharacteristic
1462C4⋊C4C2×C22⋊D6111yescharacteristic
1463C4⋊C4C2×C22⋊D6111yescharacteristic
1464C4⋊C4C2×C22⋊D6111yescharacteristic
1465C4⋊C4C2×C22⋊D6111yescharacteristic
1466C4⋊C4C23×D6111yescharacteristic
1467C4⋊C4C23×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4C2×C22⋊D6111yescharacteristic
1505C22⋊C4C2×C22⋊D6111yescharacteristic
1506C22⋊C4C2×C22⋊D6111yescharacteristic
1507C22⋊C4C2×C22⋊D6111yescharacteristic
1508C22⋊C4C2×C22⋊D6111yescharacteristic
1509C22⋊C4C2×C22⋊D6111yescharacteristic
1510C22⋊C4C2×C22⋊D6111yescharacteristic
1511C22⋊C4C2×C22⋊D6111yescharacteristic
1512C22⋊C4C2×C22⋊D6111yescharacteristic
1513C22⋊C4C2×C22⋊D6111yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—1221no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42C2×C22⋊D6111yescharacteristic
1529C42C2×C22⋊D6111yescharacteristic
1530C42C23×D6111yescharacteristic
1531C42C23×D6111yescharacteristic
1532C42C23×D6111yescharacteristic
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—42no—
1537C23—81no—
1538C23—81no—
1539C23—1221no—
1540C23—1221no—
1541C23C22×C22⋊D6111yescharacteristic
1542C23C22×C22⋊D6111yescharacteristic
1543C23C22×C22⋊D6111yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—41no—
1549Q8—81no—
1550Q8—612no—
1551Q8—1221no—
1552Q8—1221no—
1553Q8—1221no—
1554Q8—4881no—
1555Q8—2442no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—42no—
1563D4—42no—
1564D4—42no—
1565D4—81no—
1566D4—81no—
1567D4—1221no—
1568D4—1221no—
1569D4—1221no—
1570D4—1221no—
1571D4—4881no—
1572D4—4881no—
1573D4—4881no—
1574D4—4881no—
1575D4—4881no—
1576D4—4881no—
1577D4—2442no—
1578D4—2442no—
1579D4#41×D6112yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—42no—
1595C2×C4—42no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—2442no—
1615C2×C4—2442no—
1616C2×C4—2442no—
1617C2×C4C22×C22⋊D6111yescharacteristic
1618C2×C4C22×C22⋊D6111yescharacteristic
1619C2×C4C22×C22⋊D6111yescharacteristic
1620C2×C4C22×C22⋊D6111yescharacteristic
1621C2×C4C22×C22⋊D6111yescharacteristic
1622C2×C4C22×C22⋊D6111yescharacteristic
1623C2×C4C22×C22⋊D6111yescharacteristic
1624C2×C4C22×C22⋊D6111yescharacteristic
1625C2×C4C22×C22⋊D6111yescharacteristic
1626C2×C4C22×C22⋊D6111yescharacteristic
1627C2×C4C22×C22⋊D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—612no—
1630C8—1221no—
1631C8—1221no—
1632C8—1221no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C8—1221no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—22no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—162no—
1653C22—2441no—
1654C22—2441no—
1655C22—2441no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22C23×C22⋊D6111yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—1222no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059811yescharacteristic
1685C2—41no—
1686C2—41no—
1687C2—41no—
1688C2—42no—
1689C2—81no—
1690C2—4881no—
1691C2—4881no—
1692C2#41×C22⋊D6111yescharacteristic
1693C2#2146059011yescharacteristic
1694C2#2146059011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3521C2
socleC22×C61C23×D4
hypercenter#3521D61
hypocenterC61#61486
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #529 ◁ #3521

Complements

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

NH ≅ G/Ntype
1. #21459924C2semidirect
2. #21458815C2semidirect
3. #21458694C2semidirect
4. #21458655C2semidirect
5. #21458572C2semidirect
6. #21458226C2semidirect
7. #21458198C2semidirect
8. #21458192C2semidirect
9. #21458081C2semidirect
10. #21458020C2semidirect
11. #21457975C2semidirect
12. #21457915C2semidirect
13. #21457879C2semidirect
14. #21457819C2semidirect
15. #21457545C2semidirect
16. #21457522C2semidirect
17. #21457522C2semidirect
18. #21456448C2semidirect
19. #21456430C2semidirect
20. #21456383C2semidirect
21. #21456114C2semidirect
22. #21456081C2semidirect
23. #21456075C2semidirect
24. #21456062C2semidirect
25. #21455928C2semidirect
26. #21455922C2semidirect
27. #21454795C2semidirect
28. #21454700C2semidirect
29. #21454676C2semidirect
30. C4×#14519797C2semidirect
31. C61×#3521C2semidirect
35. #16840497C22semidirect
37. #16840490C22semidirect
42. #16840452C22semidirect
44. #16840433C22semidirect
47. #16840383C22semidirect
51. #16840296C22semidirect
54. #16840242C22semidirect
56. C4×#11758222C22semidirect
57. #16840161C22semidirect
58. #16840161C22semidirect
59. #16840158C22semidirect
62. #16840136C22semidirect
63. #16840130C22semidirect
64. #16840128C22semidirect
65. #16840124C22semidirect
67. #16840119C22semidirect
69. #16840103C22semidirect
72. #16840100C22semidirect
73. #16840097C22semidirect
74. #16840095C22semidirect
77. #16840086C22semidirect
79. #16840075C22semidirect
81. #16840069C22semidirect
82. #16840066C22semidirect
83. #16840066C22semidirect
84. #16840066C22semidirect
88. #16840059C22semidirect
89. #16840057C22semidirect
90. #16840054C22semidirect
92. #16840039C22semidirect
93. #16840018C22semidirect
97. #16840001C22semidirect
101. #16839993C22semidirect
102. #16839993C22semidirect
105. #16839984C22semidirect
106. #16839984C22semidirect
113. #16839969C22semidirect
114. #16839969C22semidirect
119. #16839922C22semidirect
120. #16839922C22semidirect
129. #16839893C22semidirect
130. Q8×#92418C22semidirect
134. #16839867C22semidirect
135. #16839867C22semidirect
136. #16839867C22semidirect
141. #16839860C22semidirect
142. #16839860C22semidirect
143. C4×#11758202C22semidirect
144. C4×#11758202C22semidirect
145. C4×#11758202C22semidirect
146. C4×#11758201C22semidirect
147. C4×#11758201C22semidirect
148. C4×#11758201C22semidirect
149. C4×#11758201C22semidirect
161. #16839834C22semidirect
164. D4×#92418C22semidirect
166. #16839823C22semidirect
167. #16839819C22semidirect
169. #16839798C22semidirect
170. C2×#14519708C22semidirect
174. #16839761C22semidirect
176. #16839756C22semidirect
178. #16839718C22semidirect
179. C2×C4×#92418C22semidirect
839. #3521D61semidirect
1050. C61#61486semidirect

Maximal subgroups

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

subgroupindex
#214599242
#214588152
#214586942
#214586552
#214585722
#214582262
#214581982
#214581922
#214580812
#214580202
#214579752
#214579152
#214578792
#214578192
#214575452
#214575222
#214564482
#214564302
#214563832
#214561142
#214560812
#214560752
#214560622
#214559282
#214559222
#214547952
#214547002
#214546762
C4×#145197972
C61×#35212
#6148661