Finite Group Databasebeta

← #30577098

Subgroups — #30577098

Order 15616.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460205C211yesmaximal, characteristic, complemented
2#21459889C211yesmaximal, characteristic, complemented
3#21458776C211yesmaximal, characteristic, complemented
4#21458722C211yesmaximal, characteristic, complemented
5#21458644C211yesmaximal, characteristic, complemented
6#21458540C211yesmaximal, characteristic, complemented
7#21458361C211yesmaximal, characteristic, complemented
8#21458335C211yesmaximal, characteristic, complemented
9#21458320C211yesmaximal, characteristic, complemented
10#21458255C211yesmaximal, characteristic, complemented
11#21458235C211yesmaximal, characteristic, complemented
12#21458217C211yesmaximal, characteristic, complemented
13#21457972C211yesmaximal, characteristic, complemented
14#21457971C211yesmaximal, characteristic, complemented
15#21457796C211yesmaximal, characteristic, complemented
16#21457781C211yesmaximal, characteristic, complemented
17#21457743C211yesmaximal, characteristic, complemented
18#21457666C211yesmaximal, characteristic, complemented
19#21457264C211yesmaximal, characteristic, complemented
20#21457232C211yesmaximal, characteristic, complemented
21#21457148C211yesmaximal, characteristic, complemented
22#21457117C211yesmaximal, characteristic, complemented
23#21457086C211yesmaximal, characteristic, complemented
24#21457064C211yesmaximal, characteristic, complemented
25#21456064C211yesmaximal, characteristic, complemented
26#21456018C211yesmaximal, characteristic, complemented
27#21455972C211yesmaximal, characteristic, complemented
28#21455643C211yesmaximal, characteristic, complemented
29#21455604C211yesmaximal, characteristic, complemented
30#21454956C211yesmaximal, characteristic, complemented
31C61×#3083C211yesmaximal, characteristic, complemented
32#16840510—21no—
33#16840508—21no—
34#16840485C2211yescharacteristic
35#16840484C2211yescharacteristic
36#16840478C2211yescharacteristic
37#16840475C2211yescharacteristic
38#16840475C2211yescharacteristic, complemented
39#16840469C2211yescharacteristic
40#16840468C2211yescharacteristic, complemented
41#16840465C2211yescharacteristic
42#16840460C2211yescharacteristic
43#16840460C2211yescharacteristic, complemented
44#16840458—21no—
45#16840447C2211yescharacteristic
46#16840445—21no—
47#16840444—21no—
48#16840441—21no—
49#16840436—21no—
50#16840427C2211yescharacteristic, complemented
51#16840422—21no—
52#16840413C2211yescharacteristic
53#16840411C2211yescharacteristic
54#16840407C2211yescharacteristic
55#16840400C2211yescharacteristic
56#16840389C2211yescharacteristic
57#16840386—21no—
58#16840383C2211yescharacteristic
59#16840382—21no—
60#16840370C2211yescharacteristic
61#16840368C2211yescharacteristic
62#16840367C2211yescharacteristic, complemented
63#16840359—21no—
64#16840345—21no—
65#16840342—21no—
66#16840337—21no—
67#16840318C2211yescharacteristic, complemented
68#16840313C2211yescharacteristic, complemented
69#16840299C2211yescharacteristic
70#16840292—21no—
71#16840290C2211yescharacteristic
72C2×#14519772—21no—
73#16840234C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840158C2211yescharacteristic, complemented
81#16840129C2211yescharacteristic, complemented
82#16840124C2211yescharacteristic
83#16840123C2211yescharacteristic
84#16840123C2211yescharacteristic
85#16840119C2211yescharacteristic
86#16840111C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic
88#16840103C2211yescharacteristic, complemented
89#16840102C2211yescharacteristic
90#16840102C2211yescharacteristic, complemented
91#16840101C2211yescharacteristic, complemented
92#16840099C2211yescharacteristic
93#16840092C2211yescharacteristic, complemented
94#16840091C2211yescharacteristic
95#16840089C2211yescharacteristic
96#16840089C2211yescharacteristic
97#16840089C2211yescharacteristic, complemented
98#16840089C2211yescharacteristic, complemented
99#16840088C2211yescharacteristic
100#16840088C2211yescharacteristic
101#16840086C2211yescharacteristic
102#16840080C2211yescharacteristic
103#16840080C2211yescharacteristic, complemented
104#16840075C2211yescharacteristic, complemented
105#16840070C2211yescharacteristic, complemented
106#16840069C2211yescharacteristic, complemented
107#16840066C2211yescharacteristic, complemented
108#16840065C2211yescharacteristic
109#16840065C2211yescharacteristic, complemented
110#16840065C2211yescharacteristic, complemented
111#16840065C2211yescharacteristic, complemented
112#16840063C2211yescharacteristic
113#16840062C2211yescharacteristic
114#16840061C2211yescharacteristic, complemented
115#16840060C2211yescharacteristic
116#16840059C2211yescharacteristic
117#16840056C2211yescharacteristic, complemented
118#16840053C2211yescharacteristic, complemented
119#16840050C2211yescharacteristic
120#16840050C2211yescharacteristic
121#16840049C2211yescharacteristic
122#16840046C2211yescharacteristic, complemented
123#16840044C2211yescharacteristic, complemented
124#16840043C2211yescharacteristic, complemented
125#16840041C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840015C2211yescharacteristic
128#16840011C2211yescharacteristic
129#16840009C2211yescharacteristic
130#16840008C2211yescharacteristic, complemented
131#16839999C2211yescharacteristic
132#16839999C2211yescharacteristic
133#16839998C2211yescharacteristic
134#16839994C2211yescharacteristic
135#16839994C2211yescharacteristic, complemented
136#16839994C2211yescharacteristic, complemented
137#16839992C2211yescharacteristic
138#16839991C2211yescharacteristic, complemented
139#16839980C2211yescharacteristic
140#16839980C2211yescharacteristic
141#16839978C2211yescharacteristic
142#16839978C2211yescharacteristic
143#16839966C2211yescharacteristic, complemented
144#16839966C2211yescharacteristic, complemented
145#16839963C2211yescharacteristic, complemented
146#16839962C2211yescharacteristic, complemented
147#16839958C2211yescharacteristic
148#16839957C2211yescharacteristic
149#16839908C2211yescharacteristic
150#16839908C2211yescharacteristic
151#16839907C2211yescharacteristic
152#16839907C2211yescharacteristic
153#16839897C2211yescharacteristic
154#16839897C2211yescharacteristic
155#16839891C2211yescharacteristic, complemented
156#16839889C2211yescharacteristic, complemented
157#16839873C2211yescharacteristic
158#16839872C2211yescharacteristic
159#16839871C2211yescharacteristic
160#16839871C2211yescharacteristic
161#16839871C2211yescharacteristic
162#16839861C2211yescharacteristic, complemented
163#16839861C2211yescharacteristic, complemented
164#16839860C2211yescharacteristic, complemented
165C4×#11758201C2211yescharacteristic, complemented
166#16839844C2211yescharacteristic
167C4×#11758199C2211yescharacteristic
168#16839842C2211yescharacteristic
169#16839833C2211yescharacteristic
170#16839832C2211yescharacteristic
171#16839831C2211yescharacteristic
172#16839831C2211yescharacteristic, complemented
173#16839827C2211yescharacteristic
174C8×C22⋊D61C2211yescharacteristic, complemented
175#16839823C2211yescharacteristic, complemented
176#16839822C2211yescharacteristic
177#16839818C2211yescharacteristic, complemented
178#16839803C2211yescharacteristic
179#16839799C2211yescharacteristic
180#16839799C2211yescharacteristic, complemented
181#16839797C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic
185#16839755C2211yescharacteristic
186#16839755C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#544C2211yescharacteristic, complemented
189C61×#520C2211yescharacteristic
190C61×#479C2211yescharacteristic, complemented
191C61×#479C2211yescharacteristic, complemented
192C61×#478C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#477C2211yescharacteristic, complemented
195C61×#477C2211yescharacteristic, complemented
196C61×#474C2211yescharacteristic
197C61×#474C2211yescharacteristic
198C61×#428C2211yescharacteristic, complemented
199C2×#107×C61C2211yescharacteristic, complemented
200C61×#424C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758222—21no—
205C2×#11758224C2311yescharacteristic
206C2×Q8×D61—21no—
207C2×D4×D61C2311yescharacteristic
208C2×#11758190C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758201C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×D488C2311yescharacteristic
213C2×D488C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519775—21no—
225#14519775C2311yescharacteristic
226#14519774C2311yescharacteristic
227#14519772—21no—
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772D411yescharacteristic
238#14519771—21no—
239#14519771—21no—
240#14519770D411yescharacteristic
241#14519769—21no—
242#14519769C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767D411yescharacteristic
250#14519766—21no—
251#14519766—21no—
252#14519766—21no—
253#14519766C2311yescharacteristic
254#14519765—21no—
255#14519765—21no—
256#14519765—21no—
257#14519765C2311yescharacteristic
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763D411yescharacteristic
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519762D411yescharacteristic
272#14519761—21no—
273#14519760—21no—
274#14519760—21no—
275#14519760—21no—
276#14519760—21no—
277#14519759—21no—
278#14519759D411yescharacteristic
279#14519758—21no—
280#14519757—21no—
281#14519757C2311yescharacteristic
282#14519756—21no—
283#14519756C2311yescharacteristic
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755D411yescharacteristic
295#14519754—21no—
296#14519754—21no—
297#14519753—21no—
298#14519753—21no—
299#14519753C2311yescharacteristic
300#14519753C2311yescharacteristic
301#14519752—21no—
302#14519752—21no—
303#14519752—21no—
304#14519752—21no—
305#14519752—21no—
306#14519752C2311yescharacteristic
307#14519752C2311yescharacteristic
308#14519752C2311yescharacteristic
309#14519752C2311yescharacteristic
310#14519752C2311yescharacteristic
311#14519751—21no—
312#14519751—21no—
313#14519751—21no—
314#14519751C2311yescharacteristic
315#14519751C2311yescharacteristic
316#14519751C2311yescharacteristic
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750D411yescharacteristic
322#14519749—21no—
323#14519749—21no—
324#14519747—21no—
325#14519745—21no—
326C4×Dic122—21no—
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329#14519742—21no—
330#14519742—21no—
331#14519742C2311yescharacteristic
332C4×D244—21no—
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336C4×D244C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339#14519739—21no—
340#14519739—21no—
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61C2311yescharacteristic
351C4×C22⋊D61C2311yescharacteristic
352#14519737—21no—
353#14519737—21no—
354#14519736—21no—
355#14519735—21no—
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519734—21no—
362#14519734—21no—
363#14519734—21no—
364#14519734—21no—
365#14519734C2311yescharacteristic
366#14519733—21no—
367C2×C4⋊Dic61—21no—
368C2×#11758196—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61C2311yescharacteristic
371C2×#11758198—21no—
372C2×#11758198—21no—
373C2×#11758198—21no—
374C22⋊C4×D61—21no—
375C2×C4×Dic61—21no—
376C42×D61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519697C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61—21no—
439C4⋊Q8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#125×C61—21no—
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C4×Q8×C61C2311yescharacteristic
447C4×Q8×C61C2311yescharacteristic
448C4×D4×C61—21no—
449C4×D4×C61—21no—
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452#117×C61—21no—
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C4⋊C4×C61—21no—
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C23×D61—21no—
479#41×C61—22no—
480#41×C61—41no—
481C2×Q8×C61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61C2411yescharacteristic
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61C2×D411yescharacteristic
498C2×C22⋊D61C2×D411yescharacteristic
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502#11758226—82no—
503Q8×D61—82no—
504#11758224—22no—
505#11758224—41no—
506D4×D61—22no—
507D4×D61—41no—
508#11758222—82no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244C2×D411yescharacteristic
517C2×D244C2411yescharacteristic
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2×D411yescharacteristic
531C2×C4×D61C2411yescharacteristic
532C2×C4×D61C2411yescharacteristic
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2411yescharacteristic
539M16×C61—41no—
540C2×C8×C61—41no—
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61C2×D411yescharacteristic
567C22⋊C4×C61C2×D411yescharacteristic
568C42×C61—21no—
569C42×C61—21no—
570C42×C61—21no—
571C42×C61C2411yescharacteristic
572C42×C61C2411yescharacteristic
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61C2×D411yescharacteristic
577C22⋊Dic61C2×D411yescharacteristic
578#11758201—41no—
579#11758201—41no—
580#11758199—22no—
581#11758199—22no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664D488—41no—
665D488—41no—
666#11758190—41no—
667#11758190—41no—
668#11758189—41no—
669C8×D61—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61C22×D411yescharacteristic
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—42no—
678C22×D61—81no—
679C22×D61—81no—
680C22×D61C22×D411yescharacteristic
681C22×D61C22×D411yescharacteristic
682Q8×C61—21no—
683Q8×C61—21no—
684Q8×C61—81no—
685Q8×C61—81no—
686D4×C61—21no—
687D4×C61—42no—
688D4×C612−1+412yes—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—42no—
699C2×C4×C61—81no—
700C2×C4×C61—81no—
701C2×C4×C61—81no—
702C2×C4×C61—81no—
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C2511yescharacteristic
709C22⋊D61—41no—
710C22⋊D61—41no—
711C22⋊D61—42no—
712C22⋊D61—42no—
713C22⋊D61—81no—
714C22⋊D61—81no—
715C22⋊D61—81no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—42no—
722C2×Dic61—81no—
723C2×Dic61—81no—
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730D244—21no—
731D244—21no—
732D244—21no—
733D244—21no—
734D244—21no—
735D244—21no—
736D244—41no—
737D244—81no—
738D244—81no—
739D244—81no—
740D244—81no—
741D244—81no—
742D244—81no—
743D244—81no—
744C4×D61—21no—
745C4×D61—21no—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—41no—
749C4×D61—41no—
750C4×D61—42no—
751C4×D61—42no—
752C4×D61—81no—
753C4×D61—81no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759Dic122—21no—
760Dic122—21no—
761Dic122—41no—
762Dic122—42no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62171—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—22no—
778C22×C61—21no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61C23×D411yescharacteristic
782C2×D61—21no—
783C2×D61—21no—
784C2×D61—21no—
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—162no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—21no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61C2×2−1+411yescharacteristic
811C4×C61#58511yescharacteristic
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—21no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823#3547—611no—
824#3521—611no—
825#3389—611no—
826#3384—611no—
827#3376—611no—
828#3367—611no—
829#3350—611no—
830#3348—611no—
831#3347—611no—
832#3343—611no—
833#3340—611no—
834#3339—611no—
835#3319—611no—
836#3319—611no—
837#3307—611no—
838#3306—611no—
839#3303—611no—
840#3297—611no—
841#3260—611no—
842#3257—611no—
843#3247—611no—
844#3244—611no—
845#3242—611no—
846#3240—611no—
847#3122—611no—
848#3119—611no—
849#3115—611no—
850#3083D6111yescharacteristic, complemented
851#3081—611no—
852#3076—611no—
853#2992—611no—
854C2×C61—42no—
855C2×C61—41no—
856C2×C61#348911yescharacteristic
857C2×C61#358411yescharacteristic
858C2×C61#358511yescharacteristic
859D61—41no—
860D61—41no—
861D61—81no—
862D61—81no—
863D61—81no—
864#562—1221no—
865#562—1221no—
866#556—611no—
867#556—611no—
868#555—611no—
869#555—611no—
870#555—611no—
871#554—611no—
872#554—611no—
873#553—611no—
874#553—611no—
875#553—611no—
876#553—1221no—
877#552—611no—
878#552—1221no—
879#552—1221no—
880#551—1221no—
881#551—1221no—
882D4×Q8—611no—
883#548—1221no—
884#547—611no—
885#547—611no—
886#546—611no—
887#546—611no—
888#544—611no—
889#544C2×D6111yescharacteristic, complemented
890#542—611no—
891#542—1221no—
892#542—1221no—
893#541—611no—
894#540—611no—
895#540—611no—
896#539—1221no—
897#538—1221no—
898#537—1221no—
899#536—1221no—
900#533—611no—
901#532—611no—
902#529—611no—
903#529—611no—
904#529—1221no—
905C2×#126—1221no—
906#520C2×D6111yescharacteristic
907#518—611no—
908C4×#41—611no—
909#501—611no—
910#501—611no—
911#501—611no—
912#501—611no—
913#499—611no—
914#498—611no—
915#491—611no—
916#489—611no—
917#489—611no—
918#489—611no—
919#488—611no—
920#487—611no—
921#485—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#485—611no—
926#484—611no—
927#483—611no—
928#483—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#482—611no—
936#481—611no—
937#481—611no—
938#480—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479C2×D6111yescharacteristic, complemented
943#479C2×D6111yescharacteristic, complemented
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478C2×D6111yescharacteristic
954#478C2×D6111yescharacteristic
955#477—611no—
956#477C2×D6111yescharacteristic, complemented
957#477C2×D6111yescharacteristic, complemented
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#475—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474C2×D6111yescharacteristic
968#474C2×D6111yescharacteristic
969#469—611no—
970#468—611no—
971#468—611no—
972#468—611no—
973#466—611no—
974#466—611no—
975#466—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#465—611no—
981#463—611no—
982#463—611no—
983#463—611no—
984#463—611no—
985#461—611no—
986#461—611no—
987#460—611no—
988#460—611no—
989#459—611no—
990#459—611no—
991#449—611no—
992#449—611no—
993#449—611no—
994#449—611no—
995#447—611no—
996#447—611no—
997#446—611no—
998#446—611no—
999#442—611no—
1000#442—611no—
1001#442—611no—
1002#442—611no—
1003#442—611no—
1004#440—611no—
1005#440—611no—
1006#440—611no—
1007C4×SD16—611no—
1008C4×D8—611no—
1009C4×D8—611no—
1010C4×D8—611no—
1011#435—611no—
1012#435—611no—
1013#435—611no—
1014#435—611no—
1015C8×D4—611no—
1016C8×D4—611no—
1017#433—611no—
1018#433—611no—
1019#432—611no—
1020#428—611no—
1021#428C2×D6111yescharacteristic, complemented
1022#427—611no—
1023#427—611no—
1024#427—611no—
1025C2×#107C2×D6111yescharacteristic, complemented
1026#424—611no—
1027#424C2×D6111yescharacteristic, complemented
1028C2×C4⋊C8—611no—
1029#418—611no—
1030#417C2×D6111yescharacteristic
1031#416—611no—
1032#416—611no—
1033#416C2×D6111yescharacteristic
1034C2×#102—611no—
1035C61#6217111yescharacteristic, complemented, Sylow
1036C2×#41—611no—
1037C2×#41—1221no—
1038C2×#41—1221no—
1039C2×#41C22×D6111yescharacteristic
1040C22×Q8—1221no—
1041C22×D4—611no—
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×D8—611no—
1047C2×D8—611no—
1048C2×D8—611no—
1049C2×D8—611no—
1050C2×M16—611no—
1051C2×M16C22×D6111yescharacteristic
1052C22×C8—611no—
1053C22×C8—611no—
1054C22×C8—611no—
1055C22×C8C22×D6111yescharacteristic
1056C4⋊Q8—21no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—1221no—
1063C4⋊Q8C22×D6111yescharacteristic
1064C4⋊Q8C22×D6111yescharacteristic
1065#127—611no—
1066#126—611no—
1067#126—611no—
1068#126—1221no—
1069#126—1221no—
1070#126—1221no—
1071#126—1221no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#125—21no—
1081#125—611no—
1082#125—611no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—1221no—
1087#125—1221no—
1088#125—1221no—
1089#125—1221no—
1090#125C22×D6111yescharacteristic
1091#125C22×D6111yescharacteristic
1092#124—611no—
1093#124—611no—
1094#124—611no—
1095#124—1221no—
1096#124—1221no—
1097#124—1221no—
1098#124—1221no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#123—611no—
1105#123—611no—
1106#123—1221no—
1107#123—1221no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
1149#121—611no—
1150#121—611no—
1151#121—611no—
1152#121—611no—
1153#121—611no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#120—1221no—
1169#120—1221no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—1221no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8C22×D6111yescharacteristic
1177C4×Q8C22×D6111yescharacteristic
1178C4×D4—21no—
1179C4×D4—21no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204#117—21no—
1205#117—611no—
1206#117—611no—
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117C22×D6111yescharacteristic
1219#117C22×D6111yescharacteristic
1220C2×C4⋊C4—21no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—1221no—
1223C2×C4⋊C4—1221no—
1224C2×C4⋊C4—1221no—
1225C2×C4⋊C4C22×D6111yescharacteristic
1226C2×C4⋊C4C22×D6111yescharacteristic
1227C2×C22⋊C4—1221no—
1228C2×C22⋊C4—1221no—
1229C2×C22⋊C4—1221no—
1230C2×C22⋊C4—1221no—
1231C2×C42—611no—
1232C2×C42—1221no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107C22×D6111yescharacteristic
1240#107C22×D6111yescharacteristic
1241#107C22×D6111yescharacteristic
1242#107C22×D6111yescharacteristic
1243#107C22×D6111yescharacteristic
1244#107C22×D6111yescharacteristic
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106C22×D6111yescharacteristic
1256#106C22×D6111yescharacteristic
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8C22×D6111yescharacteristic
1264C4⋊C8C22×D6111yescharacteristic
1265C4⋊C8C22×D6111yescharacteristic
1266C4⋊C8C22×D6111yescharacteristic
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103C22×D6111yescharacteristic
1276#103C22×D6111yescharacteristic
1277#103C22×D6111yescharacteristic
1278#103C22×D6111yescharacteristic
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298#102C22×D6111yescharacteristic
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8—611no—
1304C22⋊C8—611no—
1305#97—611no—
1306#97—611no—
1307#97—611no—
1308#97—611no—
1309C4×C8—611no—
1310C4×C8—611no—
1311C24—1221no—
1312#41—22no—
1313#41—41no—
1314#41—1222no—
1315#41—4882no—
1316#41—4882no—
1317#41—2441no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—611no—
1321C2×Q8—611no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8—4882no—
1327C2×Q8C23×D6111yescharacteristic
1328C2×D4—21no—
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1222no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—2441no—
1349C2×D4C23×D6111yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4C23×D6111yescharacteristic
1372SD16—2441no—
1373SD16—2441no—
1374SD16—2441no—
1375SD16—2441no—
1376D8—1222no—
1377D8—1222no—
1378D8—2441no—
1379D8—2441no—
1380M16—41no—
1381M16—2441no—
1382C2×C8—41no—
1383C2×C8—611no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—2441no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4D4×D6111yescharacteristic
1438C4⋊C4D4×D6111yescharacteristic
1439C4⋊C4C23×D6111yescharacteristic
1440C4⋊C4C23×D6111yescharacteristic
1441C4⋊C4C23×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—611no—
1449C22⋊C4—611no—
1450C22⋊C4—611no—
1451C22⋊C4—611no—
1452C22⋊C4—611no—
1453C22⋊C4—611no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1488C22⋊C4D4×D6111yescharacteristic
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42C23×D6111yescharacteristic
1504C42C23×D6111yescharacteristic
1505C23—21no—
1506C23—611no—
1507C23—611no—
1508C23—1221no—
1509C23—1221no—
1510C23—1221no—
1511C23—4881no—
1512C23—4881no—
1513C23—2442no—
1514C23C2×D4×D6111yescharacteristic
1515Q8—21no—
1516Q8—21no—
1517Q8—81no—
1518Q8—81no—
1519Q8—1221no—
1520Q8—1221no—
1521Q8—4881no—
1522Q8—4881no—
1523Q8—4881no—
1524Q8—2441no—
1525Q8—2442no—
1526D4—21no—
1527D4—42no—
1528D4—1221no—
1529D4—1221no—
1530D4—1221no—
1531D4—1221no—
1532D4—1221no—
1533D4—1221no—
1534D4—4881no—
1535D4—4881no—
1536D4—4881no—
1537D4—4881no—
1538D4—4881no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—2441no—
1545D4—2441no—
1546D4—2441no—
1547D4—2442no—
1548D4—2442no—
1549D4#1451982512yes—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—42no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—2441no—
1589C2×C4—2441no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4C2×D4×D6111yescharacteristic
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C24×D6111yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—1221no—
1604C8—1221no—
1605C8—1221no—
1606C8—1221no—
1607C22—21no—
1608C22—22no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—1221no—
1614C22—1221no—
1615C22—1221no—
1616C22—1221no—
1617C22—1221no—
1618C22—1221no—
1619C22—9762no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22C22×D4×D6111yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—1221no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4C2×#1451982511yescharacteristic
1654C4#1684059811yescharacteristic
1655C2—41no—
1656C2—42no—
1657C2—4881no—
1658C2—4881no—
1659C2—4881no—
1660C2—2441no—
1661C2—2441no—
1662C2#2145949511yescharacteristic
1663C2#2146058911yescharacteristic
1664C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3083C2
socleC22×C61C23×D4
hypercenter#3083D61
hypocenterC61#62171
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3083

Complements

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

NH ≅ G/Ntype
1. #21460205C2semidirect
2. #21459889C2semidirect
3. #21458776C2semidirect
4. #21458722C2semidirect
5. #21458644C2semidirect
6. #21458540C2semidirect
7. #21458361C2semidirect
8. #21458335C2semidirect
9. #21458320C2semidirect
10. #21458255C2semidirect
11. #21458235C2semidirect
12. #21458217C2semidirect
13. #21457972C2semidirect
14. #21457971C2semidirect
15. #21457796C2semidirect
16. #21457781C2semidirect
17. #21457743C2semidirect
18. #21457666C2semidirect
19. #21457264C2semidirect
20. #21457232C2semidirect
21. #21457148C2semidirect
22. #21457117C2semidirect
23. #21457086C2semidirect
24. #21457064C2semidirect
25. #21456064C2semidirect
26. #21456018C2semidirect
27. #21455972C2semidirect
28. #21455643C2semidirect
29. #21455604C2semidirect
30. #21454956C2semidirect
31. C61×#3083C2semidirect
38. #16840475C22semidirect
40. #16840468C22semidirect
43. #16840460C22semidirect
50. #16840427C22semidirect
62. #16840367C22semidirect
67. #16840318C22semidirect
68. #16840313C22semidirect
75. #16840172C22semidirect
76. #16840170C22semidirect
77. #16840170C22semidirect
78. #16840169C22semidirect
79. #16840163C22semidirect
80. #16840158C22semidirect
81. #16840129C22semidirect
86. #16840111C22semidirect
88. #16840103C22semidirect
90. #16840102C22semidirect
91. #16840101C22semidirect
93. #16840092C22semidirect
97. #16840089C22semidirect
98. #16840089C22semidirect
103. #16840080C22semidirect
104. #16840075C22semidirect
105. #16840070C22semidirect
106. #16840069C22semidirect
107. #16840066C22semidirect
109. #16840065C22semidirect
110. #16840065C22semidirect
111. #16840065C22semidirect
114. #16840061C22semidirect
117. #16840056C22semidirect
118. #16840053C22semidirect
122. #16840046C22semidirect
123. #16840044C22semidirect
124. #16840043C22semidirect
130. #16840008C22semidirect
135. #16839994C22semidirect
136. #16839994C22semidirect
138. #16839991C22semidirect
143. #16839966C22semidirect
144. #16839966C22semidirect
145. #16839963C22semidirect
146. #16839962C22semidirect
155. #16839891C22semidirect
156. #16839889C22semidirect
162. #16839861C22semidirect
163. #16839861C22semidirect
164. #16839860C22semidirect
165. C4×#11758201C22semidirect
172. #16839831C22semidirect
174. C8×C22⋊D61C22semidirect
175. #16839823C22semidirect
177. #16839818C22semidirect
180. #16839799C22semidirect
181. #16839797C22semidirect
183. C4⋊C8×D61C22semidirect
188. C61×#544C22semidirect
190. C61×#479C22semidirect
191. C61×#479C22semidirect
194. C61×#477C22semidirect
195. C61×#477C22semidirect
198. C61×#428C22semidirect
199. C2×#107×C61C22semidirect
200. C61×#424C22semidirect
850. #3083D61semidirect
889. #544C2×D61semidirect
942. #479C2×D61semidirect
943. #479C2×D61semidirect
956. #477C2×D61semidirect
957. #477C2×D61semidirect
1021. #428C2×D61semidirect
1025. C2×#107C2×D61semidirect
1027. #424C2×D61semidirect
1035. C61#62171semidirect

Maximal subgroups

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

subgroupindex
#214602052
#214598892
#214587762
#214587222
#214586442
#214585402
#214583612
#214583352
#214583202
#214582552
#214582352
#214582172
#214579722
#214579712
#214577962
#214577812
#214577432
#214576662
#214572642
#214572322
#214571482
#214571172
#214570862
#214570642
#214560642
#214560182
#214559722
#214556432
#214556042
#214549562
C61×#30832
#6217161