Finite Group Databasebeta

← #30573492

Subgroups — #30573492

Order 15616.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460410C211yesmaximal, characteristic, complemented
2#21459824C211yesmaximal, characteristic, complemented
3#21458856C211yesmaximal, characteristic, complemented
4#21458840C211yesmaximal, characteristic, complemented
5#21458668C211yesmaximal, characteristic, complemented
6#21458586C211yesmaximal, characteristic, complemented
7#21457828C211yesmaximal, characteristic, complemented
8#21457796C211yesmaximal, characteristic, complemented
9#21457774C211yesmaximal, characteristic, complemented
10#21457717C211yesmaximal, characteristic, complemented
11#21457667C211yesmaximal, characteristic, complemented
12#21457576C211yesmaximal, characteristic, complemented
13#21457547C211yesmaximal, characteristic, complemented
14#21457407C211yesmaximal, characteristic, complemented
15#21457405C211yesmaximal, characteristic, complemented
16#21457366C211yesmaximal, characteristic, complemented
17#21457364C211yesmaximal, characteristic, complemented
18#21457261C211yesmaximal, characteristic, complemented
19#21457253C211yesmaximal, characteristic, complemented
20#21457148C211yesmaximal, characteristic, complemented
21#21456876C211yesmaximal, characteristic, complemented
22#21456867C211yesmaximal, characteristic, complemented
23#21456815C211yesmaximal, characteristic, complemented
24#21456028C211yesmaximal, characteristic, complemented
25#21456021C211yesmaximal, characteristic, complemented
26#21455932C211yesmaximal, characteristic, complemented
27#21455374C211yesmaximal, characteristic, complemented
28#21455357C211yesmaximal, characteristic, complemented
29#21455271C211yesmaximal, characteristic, complemented
30#21454954C211yesmaximal, characteristic, complemented
31C61×#3308C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic, complemented
33C2×#14519805C2211yescharacteristic
34C2×#14519799C2211yescharacteristic
35C2×#14519798C2211yescharacteristic
36C2×#14519797C2211yescharacteristic
37C2×#14519796C2211yescharacteristic, complemented
38#16840508—21no—
39#16840500—21no—
40#16840494C2211yescharacteristic
41#16840487C2211yescharacteristic, complemented
42#16840484C2211yescharacteristic
43#16840461—21no—
44#16840460C2211yescharacteristic
45#16840460C2211yescharacteristic, complemented
46#16840457—21no—
47#16840457—21no—
48#16840442—21no—
49#16840433C2211yescharacteristic
50#16840433C2211yescharacteristic, complemented
51#16840431—21no—
52#16840430C2211yescharacteristic
53#16840430C2211yescharacteristic
54#16840430C2211yescharacteristic, complemented
55#16840423C2211yescharacteristic
56#16840414—21no—
57#16840411C2211yescharacteristic
58#16840408C2211yescharacteristic
59#16840403C2211yescharacteristic
60#16840372C2211yescharacteristic
61#16840365C2211yescharacteristic
62#16840365C2211yescharacteristic
63#16840365C2211yescharacteristic, complemented
64#16840364—21no—
65#16840364—21no—
66#16840363—21no—
67#16840361—21no—
68#16840346—21no—
69#16840344—21no—
70#16840336C2211yescharacteristic
71#16840326C2211yescharacteristic
72#16840313C2211yescharacteristic, complemented
73#16840311C2211yescharacteristic
74#16840308—21no—
75#16840299C2211yescharacteristic
76#16840298—21no—
77#16840294C2211yescharacteristic
78#16840243C2211yescharacteristic
79#16840243C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic, complemented
81#16840152C2211yescharacteristic, complemented
82#16840151C2211yescharacteristic
83#16840148C2211yescharacteristic
84#16840148C2211yescharacteristic
85#16840137C2211yescharacteristic
86#16840133C2211yescharacteristic, complemented
87#16840129C2211yescharacteristic, complemented
88#16840125C2211yescharacteristic
89#16840124C2211yescharacteristic
90#16840118C2211yescharacteristic
91#16840118C2211yescharacteristic
92#16840102C2211yescharacteristic, complemented
93#16840092C2211yescharacteristic
94#16840089C2211yescharacteristic
95#16840080C2211yescharacteristic
96#16840071C2211yescharacteristic, complemented
97#16840068C2211yescharacteristic, complemented
98#16840068C2211yescharacteristic, complemented
99#16840065C2211yescharacteristic
100#16840065C2211yescharacteristic, complemented
101#16840065C2211yescharacteristic, complemented
102#16840060C2211yescharacteristic, complemented
103#16840060C2211yescharacteristic, complemented
104#16840049C2211yescharacteristic
105#16840013C2211yescharacteristic
106#16840013C2211yescharacteristic, complemented
107#16840008C2211yescharacteristic
108#16839999C2211yescharacteristic
109#16839999C2211yescharacteristic
110#16839998C2211yescharacteristic
111#16839994C2211yescharacteristic, complemented
112#16839994C2211yescharacteristic, complemented
113#16839993C2211yescharacteristic
114#16839989C2211yescharacteristic
115#16839987C2211yescharacteristic
116#16839987C2211yescharacteristic
117#16839987C2211yescharacteristic
118#16839985C2211yescharacteristic
119#16839981C2211yescharacteristic, complemented
120#16839980C2211yescharacteristic
121#16839980C2211yescharacteristic
122#16839980C2211yescharacteristic
123#16839980C2211yescharacteristic
124#16839979C2211yescharacteristic
125#16839977C2211yescharacteristic
126#16839971C2211yescharacteristic, complemented
127#16839971C2211yescharacteristic, complemented
128#16839966C2211yescharacteristic, complemented
129#16839966C2211yescharacteristic, complemented
130#16839966C2211yescharacteristic, complemented
131#16839965C2211yescharacteristic, complemented
132#16839962C2211yescharacteristic, complemented
133#16839961C2211yescharacteristic
134#16839961C2211yescharacteristic
135#16839961C2211yescharacteristic, complemented
136#16839960C2211yescharacteristic, complemented
137#16839958C2211yescharacteristic
138#16839956C2211yescharacteristic
139#16839956C2211yescharacteristic
140#16839956C2211yescharacteristic
141#16839956C2211yescharacteristic
142#16839955C2211yescharacteristic
143#16839955C2211yescharacteristic, complemented
144#16839926C2211yescharacteristic
145#16839922C2211yescharacteristic
146#16839921C2211yescharacteristic, complemented
147#16839910C2211yescharacteristic
148#16839910C2211yescharacteristic
149#16839909C2211yescharacteristic
150#16839909C2211yescharacteristic
151#16839908C2211yescharacteristic
152#16839908C2211yescharacteristic, complemented
153#16839908C2211yescharacteristic, complemented
154#16839907C2211yescharacteristic
155#16839905C2211yescharacteristic
156#16839905C2211yescharacteristic, complemented
157#16839901C2211yescharacteristic, complemented
158#16839898C2211yescharacteristic
159#16839895C2211yescharacteristic
160#16839891C2211yescharacteristic, complemented
161#16839890C2211yescharacteristic, complemented
162#16839872C2211yescharacteristic
163#16839871C2211yescharacteristic, complemented
164#16839867C2211yescharacteristic, complemented
165#16839866C2211yescharacteristic, complemented
166#16839864C2211yescharacteristic
167#16839861C2211yescharacteristic
168#16839861C2211yescharacteristic, complemented
169#16839856C2211yescharacteristic, complemented
170#16839853C2211yescharacteristic, complemented
171#16839847C2211yescharacteristic, complemented
172#16839844C2211yescharacteristic
173#16839836C2211yescharacteristic, complemented
174#16839834C2211yescharacteristic
175#16839831C2211yescharacteristic
176C8×C22⋊D61C2211yescharacteristic, complemented
177#16839825C2211yescharacteristic
178#16839820C2211yescharacteristic
179#16839820C2211yescharacteristic, complemented
180#16839817C2211yescharacteristic, complemented
181#16839790C2211yescharacteristic
182#16839788C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839761C2211yescharacteristic
185#16839757C2211yescharacteristic
186#16839755C2211yescharacteristic, complemented
187C2×#14519697C2211yescharacteristic
188C61×#548C2211yescharacteristic
189C61×#547C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic
192C61×#480C2211yescharacteristic, complemented
193C61×#477C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic
195C61×#466C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic
198C61×#448C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic
201C61×#417C2211yescharacteristic
202C2×#103×C61C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758222C2311yescharacteristic
209C2×#11758224C2311yescharacteristic
210C2×#11758224C2311yescharacteristic
211C22×D244C2311yescharacteristic
212#14519808—42no—
213#14519805—42no—
214#14519799—42no—
215#14519798—42no—
216#14519797—42no—
217#14519796—42no—
218C2×Dic244C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758190C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×D488C2311yescharacteristic
232C2×D488C2311yescharacteristic
233C2×D488C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758194C2311yescharacteristic
240C22×#92418C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243#14519775—21no—
244#14519775C2311yescharacteristic
245#14519775C2311yescharacteristic
246#14519774C2311yescharacteristic
247#14519773—21no—
248#14519773—21no—
249#14519773—21no—
250#14519773—21no—
251#14519773C2311yescharacteristic
252#14519773C2311yescharacteristic
253#14519773C2311yescharacteristic
254#14519773C2311yescharacteristic
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519771—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770D411yescharacteristic
263#14519770D411yescharacteristic
264#14519768—21no—
265#14519768D411yescharacteristic
266#14519768C2311yescharacteristic
267#14519768C2311yescharacteristic
268#14519768C2311yescharacteristic
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519766—21no—
273#14519766—21no—
274#14519766C2311yescharacteristic
275#14519766C2311yescharacteristic
276#14519766C2311yescharacteristic
277#14519765C2311yescharacteristic
278#14519764D411yescharacteristic
279#14519763—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762—21no—
285#14519761—21no—
286#14519761—21no—
287#14519761—21no—
288#14519761—21no—
289#14519760—21no—
290#14519760—21no—
291#14519760—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759—21no—
296#14519759D411yescharacteristic
297#14519759D411yescharacteristic
298#14519758—21no—
299#14519757D411yescharacteristic
300#14519756C2311yescharacteristic
301#14519755—21no—
302#14519753—21no—
303#14519753—21no—
304#14519753—21no—
305#14519753C2311yescharacteristic
306#14519752—21no—
307#14519752—21no—
308#14519752C2311yescharacteristic
309#14519752C2311yescharacteristic
310#14519752C2311yescharacteristic
311#14519751—21no—
312#14519751—21no—
313#14519751—21no—
314#14519751—21no—
315#14519751—21no—
316#14519751—21no—
317#14519751C2311yescharacteristic
318#14519751C2311yescharacteristic
319#14519751C2311yescharacteristic
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519750—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749—21no—
336#14519749—21no—
337#14519748—21no—
338#14519748—21no—
339#14519748—21no—
340#14519748D411yescharacteristic
341#14519747—21no—
342#14519745—21no—
343#14519745—21no—
344#14519745—21no—
345Q8×Dic61—21no—
346Q8×Dic61C2311yescharacteristic
347C4×Dic122C2311yescharacteristic
348C4×Dic122C2311yescharacteristic
349#14519742C2311yescharacteristic
350#14519742C2311yescharacteristic
351#14519742C2311yescharacteristic
352#14519742C2311yescharacteristic
353C4×D244—21no—
354C4×D244C2311yescharacteristic
355D4×Dic61C2311yescharacteristic
356D4×Dic61C2311yescharacteristic
357#14519739—21no—
358#14519739—21no—
359#14519739C2311yescharacteristic
360#14519739C2311yescharacteristic
361#14519739C2311yescharacteristic
362#14519739C2311yescharacteristic
363#14519739C2311yescharacteristic
364C4×C22⋊D61—21no—
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⋊D61C2311yescharacteristic
373C4×C22⋊D61C2311yescharacteristic
374#14519737—21no—
375#14519737—21no—
376#14519737—21no—
377#14519737—21no—
378#14519737—21no—
379#14519737—21no—
380#14519737—21no—
381#14519736C2311yescharacteristic
382#14519736C2311yescharacteristic
383#14519735—21no—
384#14519735—21no—
385#14519735C2311yescharacteristic
386#14519734—21no—
387#14519734—21no—
388#14519733—21no—
389C2×#11758196—21no—
390C4⋊C4×D61—21no—
391C4⋊C4×D61—21no—
392C22⋊C4×D61—21no—
393C22⋊C4×D61—21no—
394C2×C4×Dic61—21no—
395C42×D61C2311yescharacteristic
396#14519711C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519688C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61—21no—
442C2×#41×C61C2311yescharacteristic
443C22×Q8×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×D8×C61C2311yescharacteristic
447C2×M16×C61C2311yescharacteristic
448C22×C8×C61C2311yescharacteristic
449C4⋊Q8×C61C2311yescharacteristic
450#124×C61—21no—
451#124×C61C2311yescharacteristic
452#123×C61—21no—
453#123×C61—21no—
454C22⋊Q8×C61—21no—
455C22⋊Q8×C61—21no—
456C22⋊Q8×C61C2311yescharacteristic
457#121×C61—21no—
458#121×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460#121×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×D4×C61—21no—
463C4×D4×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C2×C4⋊C4×C61C2311yescharacteristic
466C2×C4⋊C4×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—41no—
486#41×C61—41no—
487#41×C61—82no—
488C2×Q8×C61—21no—
489C2×Q8×C61—21no—
490C2×Q8×C61—41no—
491C2×Q8×C61—41no—
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61C2×D411yescharacteristic
499C2×D4×C61C2411yescharacteristic
500C2×D4×C61C2411yescharacteristic
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61C2411yescharacteristic
507C22×C4×C61C2411yescharacteristic
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61C2×D411yescharacteristic
525C2×C22⋊D61C2×D411yescharacteristic
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530#11758226—41no—
531#11758226—41no—
532#11758226—82no—
533#11758224—22no—
534#11758224—41no—
535#11758224—41no—
536#11758224—41no—
537#11758222—22no—
538#11758222—22no—
539#11758222—41no—
540#11758222—41no—
541#11758222—41no—
542#11758222—41no—
543#11758222—82no—
544C2×D244—21no—
545C2×D244—21no—
546C2×D244—21no—
547C2×D244—21no—
548C2×D244—21no—
549C2×D244—21no—
550C2×D244—21no—
551C2×D244—41no—
552C2×D244—41no—
553C2×D244C2411yescharacteristic
554C2×D244C2411yescharacteristic
555C2×D244C2411yescharacteristic
556C2×D244C2411yescharacteristic
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61C2×D411yescharacteristic
568C2×C4×D61C2×D411yescharacteristic
569C2×C4×D61C2411yescharacteristic
570C2×Dic122C2×D411yescharacteristic
571C2×Dic122C2411yescharacteristic
572C2×Dic122C2411yescharacteristic
573SD16×C61—41no—
574SD16×C61—41no—
575D8×C61—41no—
576M16×C61—41no—
577C2×C8×C61—41no—
578C2×C8×C61C2411yescharacteristic
579C2×C8×C61C2411yescharacteristic
580C2×C8×C61C2411yescharacteristic
581C2×C8×C61C2411yescharacteristic
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61C2×D411yescharacteristic
588C4⋊C4×C61C2411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61C2×D411yescharacteristic
600C22⋊C4×C61C2×D411yescharacteristic
601C42×C61—21no—
602C42×C61C2411yescharacteristic
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61C2×D411yescharacteristic
607C22⋊Dic61C2×D411yescharacteristic
608C22⋊Dic61C2×D411yescharacteristic
609C22⋊Dic61C2×D411yescharacteristic
610C22⋊Dic61C2×D411yescharacteristic
611C22⋊Dic61C2×D411yescharacteristic
612#11758202—22no—
613#11758202—22no—
614#11758201—41no—
615#11758201—41no—
616#11758201—41no—
617#11758201—41no—
618#11758200—22no—
619#11758200—41no—
620#11758199—41no—
621#11758199—41no—
622#11758199—41no—
623#11758199—41no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
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—
646#11758198C2×D411yescharacteristic
647#11758198C2×D411yescharacteristic
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2×D411yescharacteristic
655C4⋊Dic61C2×D411yescharacteristic
656C4⋊Dic61C2×D411yescharacteristic
657C4⋊Dic61C2411yescharacteristic
658C4⋊Dic61C2411yescharacteristic
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C4×Dic61C2411yescharacteristic
689#11758194—41no—
690C2×#92418—41no—
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—22no—
696D488—41no—
697D488—41no—
698D488—41no—
699D488—41no—
700#11758190—22no—
701#11758190—22no—
702#11758190—41no—
703#11758190—41no—
704C8×D61—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61C22×D411yescharacteristic
709C23×C61C22×D411yescharacteristic
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61C22×D411yescharacteristic
718Q8×C61—21no—
719Q8×C61—21no—
720Q8×C61—21no—
721Q8×C61—21no—
722Q8×C61—42no—
723Q8×C61—81no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—21no—
727D4×C61—21no—
728D4×C61—41no—
729D4×C61—81no—
730D4×C61—81no—
731D4×C61—81no—
732D4×C61—81no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—42no—
744C2×C4×C61—81no—
745C2×C4×C61—81no—
746C2×C4×C61—81no—
747C2×C4×C61—81no—
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C2511yescharacteristic
753C22⋊D61—41no—
754C22⋊D61—41no—
755C22⋊D61—42no—
756C22⋊D61—42no—
757C22⋊D61—42no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—42no—
776C2×Dic61—81no—
777C2×Dic61—81no—
778C2×Dic61—81no—
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781C2×Dic61C22×D411yescharacteristic
782C2×Dic61C22×D411yescharacteristic
783C2×Dic61C22×D411yescharacteristic
784C2×Dic61C22×D411yescharacteristic
785C2×Dic61C22×D411yescharacteristic
786D244—21no—
787D244—21no—
788D244—21no—
789D244—21no—
790D244—21no—
791D244—21no—
792D244—21no—
793D244—21no—
794D244—42no—
795D244—81no—
796D244—81no—
797D244—81no—
798D244—81no—
799D244—81no—
800D244—81no—
801C4×D61—21no—
802C4×D61—21no—
803C4×D61—41no—
804C4×D61—41no—
805C4×D61—42no—
806C4×D61—42no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61—81no—
810C4×D61—81no—
811C4×D61—81no—
812C4×D61—81no—
813C4×D61—81no—
814C4×D61—81no—
815Dic122—21no—
816Dic122—21no—
817Dic122—21no—
818Dic122—41no—
819Dic122H(5,𝔽2)12yes—
820C8×C61—21no—
821C8×C61—21no—
822C8×C61—21no—
823C8×C61—21no—
824#92418—21no—
825#92418—21no—
826#92418—21no—
827#92418—21no—
828#62014—611nomaximal, Sylow
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—21no—
833C22×C61—21no—
834C22×C61—21no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61C23×D411yescharacteristic
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—21no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—162no—
858C4×C61—21no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61C2×H(5,𝔽2)11yescharacteristic
869C4×C61#58511yescharacteristic
870Dic61—21no—
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—22no—
877Dic61—21no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881#3562—611no—
882#3517—611no—
883#3399—611no—
884#3397—611no—
885#3377—611no—
886#3371—611no—
887#3309—611no—
888#3308D6111yescharacteristic, complemented
889#3307—611no—
890#3306—611no—
891#3301—611no—
892#3297—611no—
893#3287—611no—
894#3284—611no—
895#3271—611no—
896#3271—611no—
897#3268—611no—
898#3268—611no—
899#3260—611no—
900#3259—611no—
901#3247—611no—
902#3221—611no—
903#3220—611no—
904#3214—611no—
905#3120—611no—
906#3119—611no—
907#3111—611no—
908#3046—611no—
909#3045—611no—
910#3035—611no—
911#2992—611no—
912C2×C61—41no—
913C2×C61—41no—
914C2×C61—81no—
915C2×C61—81no—
916C2×C61#348811yescharacteristic
917C2×C61#358411yescharacteristic
918C2×C61#358511yescharacteristic
919D61—41no—
920D61—81no—
921D61—81no—
922D61—81no—
923D61—81no—
924C2×#137—611no—
925C2×AGL(1,ℤ/8)—611no—
926C2×#135—611no—
927C2×#135—611no—
928C2×#135—611no—
929C2×#135—611no—
930#562—1221no—
931#560—1221no—
932#559—611no—
933#557—611no—
934#556—611no—
935#553—611no—
936#553—611no—
937#553—1221no—
938#553—1221no—
939#553—1221no—
940#551—1221no—
941#550—611no—
942#550—611no—
943#550—611no—
944#550—611no—
945#550—611no—
946#550—1221no—
947#548—611no—
948#548C2×D6111yescharacteristic
949#547—611no—
950#547—1221no—
951#547C2×D6111yescharacteristic
952#546—611no—
953#546—611no—
954#541—611no—
955#540—611no—
956#540—611no—
957#540—611no—
958#540—1221no—
959#540—1221no—
960#540—1221no—
961#539—1221no—
962#538—1221no—
963#538—1221no—
964#536—611no—
965#535—611no—
966#532—611no—
967#532—611no—
968#532—1221no—
969#529—611no—
970#529—611no—
971#529—1221no—
972#520—611no—
973#520—611no—
974C4×#41—611no—
975#496—611no—
976#496—611no—
977#496—611no—
978#496—611no—
979#493—611no—
980#492—611no—
981#491—611no—
982#490—611no—
983#489—611no—
984#489C2×D6111yescharacteristic, complemented
985#488—611no—
986#488—611no—
987#485—611no—
988#484C2×D6111yescharacteristic
989#483—611no—
990#482—611no—
991#481—611no—
992#480C2×D6111yescharacteristic, complemented
993#479—611no—
994#479—611no—
995#479—611no—
996#478—611no—
997#478—611no—
998#478—611no—
999#478—611no—
1000#478—611no—
1001#477C2×D6111yescharacteristic, complemented
1002#476—611no—
1003#469—611no—
1004#469—611no—
1005#468—611no—
1006#468C2×D6111yescharacteristic
1007#466—611no—
1008#466—611no—
1009#466—611no—
1010#466C2×D6111yescharacteristic, complemented
1011#465—611no—
1012#465—611no—
1013#465—611no—
1014#465—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#463—611no—
1021#463—611no—
1022#463—611no—
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463C2×D6111yescharacteristic, complemented
1027#462—611no—
1028#462—611no—
1029#461—611no—
1030#461—611no—
1031#461—611no—
1032#461—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460—611no—
1038#459—611no—
1039#459—611no—
1040#459—611no—
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459—611no—
1045#452—611no—
1046#452—611no—
1047#452—611no—
1048#449—611no—
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449—611no—
1053#449—611no—
1054#449—611no—
1055#449—611no—
1056#449—611no—
1057#449—611no—
1058#449C2×D6111yescharacteristic
1059#448—611no—
1060#448C2×D6111yescharacteristic, complemented
1061#447—611no—
1062#447—611no—
1063#446—611no—
1064#446—611no—
1065#442—611no—
1066#442—611no—
1067#441—611no—
1068#441—611no—
1069#440—611no—
1070#440—611no—
1071#440—611no—
1072#440C2×D6111yescharacteristic, complemented
1073C4×Q16—611no—
1074C4×SD16—611no—
1075C4×SD16—611no—
1076C4×D8—611no—
1077#435—611no—
1078#435—611no—
1079#435—611no—
1080#435C2×D6111yescharacteristic
1081C8×D4—611no—
1082C8×D4—611no—
1083#433—611no—
1084#433—611no—
1085#432—611no—
1086#424—611no—
1087#424—611no—
1088C2×C4⋊C8—611no—
1089#417—611no—
1090#417C2×D6111yescharacteristic
1091#416—611no—
1092#416—611no—
1093C2×#103C2×D6111yescharacteristic, complemented
1094C2×#102—611no—
1095C61#6201411yescharacteristic, complemented, Sylow
1096C2×#41—21no—
1097C2×#41—611no—
1098C2×#41—611no—
1099C2×#41—611no—
1100C2×#41—611no—
1101C2×#41—611no—
1102C2×#41—611no—
1103C2×#41—1221no—
1104C2×#41—1221no—
1105C2×#41C22×D6111yescharacteristic
1106C22×Q8C22×D6111yescharacteristic
1107C22×D4—611no—
1108#137—2442no—
1109AGL(1,ℤ/8)—2442no—
1110#135—2442no—
1111#135—2442no—
1112#135—2442no—
1113#135—2442no—
1114C2×Q16—611no—
1115C2×Q16—611no—
1116C2×Q16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—611no—
1125C2×SD16—611no—
1126C2×SD16—611no—
1127C2×SD16C22×D6111yescharacteristic
1128C2×SD16C22×D6111yescharacteristic
1129C2×D8—611no—
1130C2×D8—611no—
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8—611no—
1137C2×D8C22×D6111yescharacteristic
1138C2×M16—611no—
1139C2×M16C22×D6111yescharacteristic
1140C22×C8—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8C22×D6111yescharacteristic
1144C4⋊Q8—611no—
1145C4⋊Q8—611no—
1146C4⋊Q8—1221no—
1147C4⋊Q8C22×D6111yescharacteristic
1148#127—611no—
1149#127—611no—
1150#127—611no—
1151#127—611no—
1152#127—611no—
1153#127—1221no—
1154#127—1221no—
1155#127—1221no—
1156#127—1221no—
1157#126—611no—
1158#126—611no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#125—611no—
1167#125—611no—
1168#125—611no—
1169#125—611no—
1170#125—1221no—
1171#125—1221no—
1172#125—1221no—
1173#125—1221no—
1174#124—21no—
1175#124—611no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124—611no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124C22×D6111yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—611no—
1187#123—611no—
1188#123—1221no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8C22×D6111yescharacteristic
1215#121—21no—
1216#121—611no—
1217#121—611no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121C22×D6111yescharacteristic
1252#121C22×D6111yescharacteristic
1253#121C22×D6111yescharacteristic
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257#120—1221no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—611no—
1265C4×Q8—1221no—
1266C4×Q8C22×D6111yescharacteristic
1267C4×D4—21no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4C22×D6111yescharacteristic
1297C4×D4C22×D6111yescharacteristic
1298#117—611no—
1299#117—611no—
1300#117—611no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306C2×C4⋊C4—1221no—
1307C2×C4⋊C4—1221no—
1308C2×C4⋊C4—1221no—
1309C2×C4⋊C4C22×D6111yescharacteristic
1310C2×C4⋊C4C22×D6111yescharacteristic
1311C2×C22⋊C4—1221no—
1312C2×C22⋊C4—1221no—
1313C2×C42—611no—
1314C2×C42—1221no—
1315#107—611no—
1316#107C22×D6111yescharacteristic
1317#107C22×D6111yescharacteristic
1318#107C22×D6111yescharacteristic
1319#106—611no—
1320#106—611no—
1321#106—611no—
1322#106—611no—
1323C4⋊C8—611no—
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8—611no—
1328C4⋊C8—611no—
1329C4⋊C8—611no—
1330C4⋊C8—611no—
1331C4⋊C8—611no—
1332C4⋊C8C22×D6111yescharacteristic
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103C22×D6111yescharacteristic
1342#103C22×D6111yescharacteristic
1343#103C22×D6111yescharacteristic
1344#103C22×D6111yescharacteristic
1345#103C22×D6111yescharacteristic
1346#103C22×D6111yescharacteristic
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102C22×D6111yescharacteristic
1362#102C22×D6111yescharacteristic
1363#102C22×D6111yescharacteristic
1364#102C22×D6111yescharacteristic
1365C22⋊C8—611no—
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8C22×D6111yescharacteristic
1370C22⋊C8C22×D6111yescharacteristic
1371#97—611no—
1372#97—611no—
1373#97—611no—
1374#97C22×D6111yescharacteristic
1375C4×C8—611no—
1376C4×C8—611no—
1377C24—1221no—
1378#41—41no—
1379#41—41no—
1380#41—82no—
1381#41—1222no—
1382#41—1222no—
1383#41—1222no—
1384#41—4882no—
1385#41—4882no—
1386#41—2441no—
1387#41—2441no—
1388#41—2441no—
1389#41—2441no—
1390#41—2441no—
1391#41—2441no—
1392#41—2441no—
1393#41—2441no—
1394#41—2441no—
1395C2×Q8—21no—
1396C2×Q8—21no—
1397C2×Q8—41no—
1398C2×Q8—41no—
1399C2×Q8—611no—
1400C2×Q8—611no—
1401C2×Q8—611no—
1402C2×Q8C23×D6111yescharacteristic
1403C2×Q8C23×D6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—611no—
1409C2×D4—611no—
1410C2×D4—611no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—2441no—
1438C2×D4—2441no—
1439C2×D4D4×D6111yescharacteristic
1440C2×D4C23×D6111yescharacteristic
1441C2×D4C23×D6111yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—611no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—1221no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
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×C4C23×D6111yescharacteristic
1465C22×C4C23×D6111yescharacteristic
1466Q16—1222no—
1467Q16—1222no—
1468Q16—1222no—
1469SD16—41no—
1470SD16—41no—
1471SD16—1222no—
1472SD16—1222no—
1473SD16—1222no—
1474SD16—2441no—
1475SD16—2441no—
1476SD16—2441no—
1477SD16—2441no—
1478SD16—2441no—
1479SD16—2441no—
1480SD16—2441no—
1481D8—41no—
1482D8—2441no—
1483D8—2441no—
1484D8—2441no—
1485D8—2441no—
1486D8—2441no—
1487D8—2441no—
1488D8—2441no—
1489D8—2441no—
1490M16—41no—
1491M16—2441no—
1492C2×C8—41no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—611no—
1496C2×C8—611no—
1497C2×C8—2441no—
1498C2×C8—2441no—
1499C2×C8—2441no—
1500C2×C8C23×D6111yescharacteristic
1501C2×C8C23×D6111yescharacteristic
1502C2×C8C23×D6111yescharacteristic
1503C2×C8C23×D6111yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—611no—
1519C4⋊C4—611no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4—1221no—
1538C4⋊C4D4×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C4⋊C4C23×D6111yescharacteristic
1541C4⋊C4C23×D6111yescharacteristic
1542C4⋊C4C23×D6111yescharacteristic
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—611no—
1556C22⋊C4—611no—
1557C22⋊C4—611no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4D4×D6111yescharacteristic
1584C22⋊C4D4×D6111yescharacteristic
1585C42—21no—
1586C42—611no—
1587C42—611no—
1588C42—611no—
1589C42—611no—
1590C42—611no—
1591C42—1221no—
1592C42—1221no—
1593C42—1221no—
1594C42—1221no—
1595C42—1221no—
1596C42—1221no—
1597C42—1221no—
1598C42C23×D6111yescharacteristic
1599C23—21no—
1600C23—21no—
1601C23—611no—
1602C23—1221no—
1603C23—1221no—
1604C23—1221no—
1605C23—1221no—
1606C23—4881no—
1607C23—4881no—
1608C23—4881no—
1609C23C2×D4×D6111yescharacteristic
1610C23C2×D4×D6111yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—42no—
1616Q8—81no—
1617Q8—612no—
1618Q8—1221no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—2441no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—41no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—1221no—
1632D4—1221no—
1633D4—1221no—
1634D4—1221no—
1635D4—1221no—
1636D4—1221no—
1637D4—1221no—
1638D4—1221no—
1639D4—4881no—
1640D4—4881no—
1641D4—4881no—
1642D4—4881no—
1643D4—4881no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—2442no—
1659D4—2441no—
1660D4—2441no—
1661D4—2442no—
1662D4—2442no—
1663D4—2442no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—42no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—611no—
1680C2×C4—611no—
1681C2×C4—611no—
1682C2×C4—611no—
1683C2×C4—611no—
1684C2×C4—611no—
1685C2×C4—611no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—4881no—
1693C2×C4—4881no—
1694C2×C4—4881no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—4881no—
1703C2×C4—2441no—
1704C2×C4—2441no—
1705C2×C4—2442no—
1706C2×C4—2442no—
1707C2×C4—2442no—
1708C2×C4C2×D4×D6111yescharacteristic
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C24×D6111yescharacteristic
1713C8—21no—
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—1221no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—1221no—
1734C22—1221no—
1735C22—1221no—
1736C22—9762no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22C22×D4×D6111yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—1221no—
1761C4—1222no—
1762C4—1221no—
1763C4—1221no—
1764C4—1221no—
1765C4—1221no—
1766C4—1221no—
1767C4—1221no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4H(5,𝔽2)×D6111yescharacteristic
1772C4#1684059811yescharacteristic
1773C2—41no—
1774C2—41no—
1775C2—81no—
1776C2—81no—
1777C2—4881no—
1778C2—4881no—
1779C2—4881no—
1780C2—4881no—
1781C2—2441no—
1782C2#2145948211yescharacteristic
1783C2#2146058911yescharacteristic
1784C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3308C2
socleC22×C61C23×D4
hypercenter#3308D61
hypocenterC61#62014
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #21460410C2semidirect
2. #21459824C2semidirect
3. #21458856C2semidirect
4. #21458840C2semidirect
5. #21458668C2semidirect
6. #21458586C2semidirect
7. #21457828C2semidirect
8. #21457796C2semidirect
9. #21457774C2semidirect
10. #21457717C2semidirect
11. #21457667C2semidirect
12. #21457576C2semidirect
13. #21457547C2semidirect
14. #21457407C2semidirect
15. #21457405C2semidirect
16. #21457366C2semidirect
17. #21457364C2semidirect
18. #21457261C2semidirect
19. #21457253C2semidirect
20. #21457148C2semidirect
21. #21456876C2semidirect
22. #21456867C2semidirect
23. #21456815C2semidirect
24. #21456028C2semidirect
25. #21456021C2semidirect
26. #21455932C2semidirect
27. #21455374C2semidirect
28. #21455357C2semidirect
29. #21455271C2semidirect
30. #21454954C2semidirect
31. C61×#3308C2semidirect
32. C2×#14519808C22semidirect
37. C2×#14519796C22semidirect
41. #16840487C22semidirect
45. #16840460C22semidirect
50. #16840433C22semidirect
54. #16840430C22semidirect
63. #16840365C22semidirect
72. #16840313C22semidirect
79. #16840243C22semidirect
80. C4×#11758224C22semidirect
81. #16840152C22semidirect
86. #16840133C22semidirect
87. #16840129C22semidirect
92. #16840102C22semidirect
96. #16840071C22semidirect
97. #16840068C22semidirect
98. #16840068C22semidirect
100. #16840065C22semidirect
101. #16840065C22semidirect
102. #16840060C22semidirect
103. #16840060C22semidirect
106. #16840013C22semidirect
111. #16839994C22semidirect
112. #16839994C22semidirect
119. #16839981C22semidirect
126. #16839971C22semidirect
127. #16839971C22semidirect
128. #16839966C22semidirect
129. #16839966C22semidirect
130. #16839966C22semidirect
131. #16839965C22semidirect
132. #16839962C22semidirect
135. #16839961C22semidirect
136. #16839960C22semidirect
143. #16839955C22semidirect
146. #16839921C22semidirect
152. #16839908C22semidirect
153. #16839908C22semidirect
156. #16839905C22semidirect
157. #16839901C22semidirect
160. #16839891C22semidirect
161. #16839890C22semidirect
163. #16839871C22semidirect
164. #16839867C22semidirect
165. #16839866C22semidirect
168. #16839861C22semidirect
169. #16839856C22semidirect
170. #16839853C22semidirect
171. #16839847C22semidirect
173. #16839836C22semidirect
176. C8×C22⋊D61C22semidirect
179. #16839820C22semidirect
180. #16839817C22semidirect
182. #16839788C22semidirect
183. C4⋊C8×D61C22semidirect
186. #16839755C22semidirect
190. C61×#489C22semidirect
192. C61×#480C22semidirect
193. C61×#477C22semidirect
195. C61×#466C22semidirect
196. C61×#463C22semidirect
198. C61×#448C22semidirect
199. C61×#440C22semidirect
202. C2×#103×C61C22semidirect
888. #3308D61semidirect
984. #489C2×D61semidirect
992. #480C2×D61semidirect
1001. #477C2×D61semidirect
1010. #466C2×D61semidirect
1026. #463C2×D61semidirect
1060. #448C2×D61semidirect
1072. #440C2×D61semidirect
1093. C2×#103C2×D61semidirect
1095. C61#62014semidirect

Maximal subgroups

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

subgroupindex
#214604102
#214598242
#214588562
#214588402
#214586682
#214585862
#214578282
#214577962
#214577742
#214577172
#214576672
#214575762
#214575472
#214574072
#214574052
#214573662
#214573642
#214572612
#214572532
#214571482
#214568762
#214568672
#214568152
#214560282
#214560212
#214559322
#214553742
#214553572
#214552712
#214549542
C61×#33082
#6201461