Finite Group Databasebeta

← #30575984

Subgroups — #30575984

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459797C211yesmaximal, characteristic, complemented
2#21459429C211yesmaximal, characteristic, complemented
3#21458779C211yesmaximal, characteristic, complemented
4#21458766C211yesmaximal, characteristic, complemented
5#21458589C211yesmaximal, characteristic, complemented
6#21458574C211yesmaximal, characteristic, complemented
7#21458424C211yesmaximal, characteristic, complemented
8#21458381C211yesmaximal, characteristic, complemented
9#21458306C211yesmaximal, characteristic, complemented
10#21458306C211yesmaximal, characteristic, complemented
11#21458291C211yesmaximal, characteristic, complemented
12#21458276C211yesmaximal, characteristic, complemented
13#21458037C211yesmaximal, characteristic, complemented
14#21458022C211yesmaximal, characteristic, complemented
15#21457962C211yesmaximal, characteristic, complemented
16#21457902C211yesmaximal, characteristic, complemented
17#21457842C211yesmaximal, characteristic, complemented
18#21457782C211yesmaximal, characteristic, complemented
19#21457220C211yesmaximal, characteristic, complemented
20#21457182C211yesmaximal, characteristic, complemented
21#21457171C211yesmaximal, characteristic, complemented
22#21457061C211yesmaximal, characteristic, complemented
23#21457011C211yesmaximal, characteristic, complemented
24#21456989C211yesmaximal, characteristic, complemented
25#21455959C211yesmaximal, characteristic, complemented
26#21455930C211yesmaximal, characteristic, complemented
27#21455868C211yesmaximal, characteristic, complemented
28#21455642C211yesmaximal, characteristic, complemented
29#21455618C211yesmaximal, characteristic, complemented
30C2×#16840063C211yesmaximal, characteristic, complemented
31C61×#2989C211yesmaximal, characteristic, complemented
32#16840497C2211yescharacteristic
33#16840490C2211yescharacteristic, complemented
34#16840472C2211yescharacteristic
35#16840472C2211yescharacteristic, complemented
36#16840469C2211yescharacteristic
37#16840469C2211yescharacteristic, complemented
38#16840458C2211yescharacteristic
39#16840458C2211yescharacteristic
40#16840458C2211yescharacteristic
41#16840458C2211yescharacteristic, complemented
42#16840456—21no—
43#16840452C2211yescharacteristic
44#16840452C2211yescharacteristic, complemented
45#16840451—21no—
46#16840445—21no—
47#16840445—21no—
48#16840436—21no—
49#16840436—21no—
50#16840416C2211yescharacteristic, complemented
51#16840411—21no—
52#16840408C2211yescharacteristic
53#16840408C2211yescharacteristic
54#16840400—21no—
55D4×D244C2211yescharacteristic
56#16840370—21no—
57#16840354—21no—
58#16840354—21no—
59#16840319C2211yescharacteristic, complemented
60#16840312C2211yescharacteristic
61#16840299—21no—
62#16840296C2211yescharacteristic
63#16840296C2211yescharacteristic
64#16840296C2211yescharacteristic, complemented
65#16840296C2211yescharacteristic, complemented
66#16840296C2211yescharacteristic, complemented
67C2×#14519769C2211yescharacteristic, complemented
68C2×#14519769C2211yescharacteristic, complemented
69#16840271—21no—
70#16840271—21no—
71#16840241—21no—
72C4×#11758222C2211yescharacteristic
73C2×C4×D244C2211yescharacteristic
74C2×C4×D244C2211yescharacteristic
75C4×D4×D61—21no—
76#16840171C2211yescharacteristic, complemented
77#16840171C2211yescharacteristic, complemented
78#16840171C2211yescharacteristic, complemented
79#16840171C2211yescharacteristic, complemented
80#16840164C2211yescharacteristic, complemented
81#16840164C2211yescharacteristic, complemented
82#16840127C2211yescharacteristic
83#16840127C2211yescharacteristic
84#16840122C2211yescharacteristic, complemented
85#16840122C2211yescharacteristic, complemented
86#16840117C2211yescharacteristic, complemented
87#16840117C2211yescharacteristic, complemented
88#16840104C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840104C2211yescharacteristic, complemented
91#16840098C2211yescharacteristic, complemented
92#16840098C2211yescharacteristic, complemented
93#16840093C2211yescharacteristic, complemented
94#16840093C2211yescharacteristic, complemented
95#16840087C2211yescharacteristic
96#16840087C2211yescharacteristic
97#16840087C2211yescharacteristic, complemented
98#16840081C2211yescharacteristic
99#16840081C2211yescharacteristic, complemented
100#16840081C2211yescharacteristic, complemented
101#16840081C2211yescharacteristic, complemented
102#16840076C2211yescharacteristic
103#16840076C2211yescharacteristic, complemented
104#16840076C2211yescharacteristic, complemented
105#16840076C2211yescharacteristic, complemented
106#16840070C2211yescharacteristic, complemented
107#16840070C2211yescharacteristic, complemented
108#16840070C2211yescharacteristic, complemented
109#16840070C2211yescharacteristic, complemented
110#16840070C2211yescharacteristic, complemented
111#16840070C2211yescharacteristic, complemented
112#16840070C2211yescharacteristic, complemented
113#16840063C2211yescharacteristic
114#16840063C2211yescharacteristic
115#16840063C2211yescharacteristic
116#16840063C2211yescharacteristic
117#16840063C2211yescharacteristic
118#16840063C2211yescharacteristic
119#16840063C2211yescharacteristic
120#16840063C2211yescharacteristic, complemented
121#16840063C2211yescharacteristic, complemented
122#16840063C2211yescharacteristic, complemented
123#16840063C2211yescharacteristic, complemented
124#16840063C2211yescharacteristic, complemented
125#16840063C2211yescharacteristic, complemented
126#16840063C2211yescharacteristic, complemented
127#16840063C2211yescharacteristic, complemented
128#16840063C2211yescharacteristic, complemented
129#16840063C2211yescharacteristic, complemented
130#16840053C2211yescharacteristic
131#16840053C2211yescharacteristic, complemented
132#16840048C2211yescharacteristic, complemented
133#16840043C2211yescharacteristic
134#16840043C2211yescharacteristic, complemented
135#16840043C2211yescharacteristic, complemented
136#16840020C2211yescharacteristic, complemented
137#16840015C2211yescharacteristic
138#16840015C2211yescharacteristic, complemented
139#16840015C2211yescharacteristic, complemented
140#16840008C2211yescharacteristic
141#16840008C2211yescharacteristic, complemented
142#16840008C2211yescharacteristic, complemented
143#16840008C2211yescharacteristic, complemented
144#16840003C2211yescharacteristic, complemented
145#16839998C2211yescharacteristic
146#16839991C2211yescharacteristic
147#16839991C2211yescharacteristic, complemented
148#16839985C2211yescharacteristic, complemented
149#16839985C2211yescharacteristic, complemented
150#16839985C2211yescharacteristic, complemented
151#16839978C2211yescharacteristic
152#16839978C2211yescharacteristic, complemented
153#16839978C2211yescharacteristic, complemented
154#16839978C2211yescharacteristic, complemented
155#16839978C2211yescharacteristic, complemented
156#16839963C2211yescharacteristic
157#16839958C2211yescharacteristic
158#16839926C2211yescharacteristic
159#16839915C2211yescharacteristic
160#16839915C2211yescharacteristic
161#16839909C2211yescharacteristic
162#16839898C2211yescharacteristic
163#16839898C2211yescharacteristic
164#16839875C2211yescharacteristic
165#16839875C2211yescharacteristic
166#16839875C2211yescharacteristic, complemented
167#16839870C2211yescharacteristic, complemented
168#16839864C2211yescharacteristic
169#16839864C2211yescharacteristic
170#16839864C2211yescharacteristic, complemented
171#16839864C2211yescharacteristic, complemented
172C4×#11758190C2211yescharacteristic
173C4×#11758190C2211yescharacteristic, complemented
174C4×D488C2211yescharacteristic
175C4×D488C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839804C2211yescharacteristic, complemented
178#16839804C2211yescharacteristic, complemented
179#16839804C2211yescharacteristic, complemented
180C2×#14519711C2211yescharacteristic, complemented
181C2×#14519709C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839768C2211yescharacteristic
184#16839764C2211yescharacteristic
185#16839764C2211yescharacteristic
186C2×#14519699C2211yescharacteristic
187C2×#14519699C2211yescharacteristic
188C4×#41×C61C2211yescharacteristic
189C61×#446C2211yescharacteristic, complemented
190C61×#446C2211yescharacteristic, complemented
191C61×#436C2211yescharacteristic, complemented
192C61×#436C2211yescharacteristic, complemented
193C61×#435C2211yescharacteristic
194C61×#435C2211yescharacteristic
195C61×#435C2211yescharacteristic, complemented
196C61×#435C2211yescharacteristic, complemented
197C61×#432C2211yescharacteristic, complemented
198C61×#432C2211yescharacteristic, complemented
199C61×#431C2211yescharacteristic, complemented
200C61×#423C2211yescharacteristic, complemented
201C61×#423C2211yescharacteristic, complemented
202C2×C4⋊C8×C61C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758222C2311yescharacteristic
205C2×#11758224—21no—
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C2×D4×D61—21no—
209C22×C4×D61—21no—
210C22×C4×D61—21no—
211C2×Dic244C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×D488C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519775—21no—
223#14519774C2311yescharacteristic
224#14519772—21no—
225#14519772—21no—
226#14519772—21no—
227#14519772—21no—
228#14519771—21no—
229#14519771—21no—
230#14519771—21no—
231#14519771—21no—
232#14519771—21no—
233#14519770—21no—
234#14519770—21no—
235#14519769—21no—
236#14519769—21no—
237#14519769—21no—
238#14519769—21no—
239#14519769C2311yescharacteristic
240#14519769C2311yescharacteristic
241#14519769C2311yescharacteristic
242#14519769C2311yescharacteristic
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519769C2311yescharacteristic
248#14519768—21no—
249#14519768—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519766—21no—
255#14519765—21no—
256#14519765C2311yescharacteristic
257#14519765C2311yescharacteristic
258#14519765C2311yescharacteristic
259#14519762—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519761—21no—
264#14519761—21no—
265#14519760—21no—
266#14519760—21no—
267#14519760—21no—
268#14519760—21no—
269#14519760—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519758—21no—
275#14519758—21no—
276#14519757—21no—
277#14519756—21no—
278#14519756—21no—
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519756C2311yescharacteristic
283#14519756C2311yescharacteristic
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519753—21no—
293#14519753—21no—
294#14519752—21no—
295#14519751—21no—
296#14519751C2311yescharacteristic
297#14519751C2311yescharacteristic
298#14519751C2311yescharacteristic
299#14519751C2311yescharacteristic
300#14519751C2311yescharacteristic
301#14519751C2311yescharacteristic
302#14519751C2311yescharacteristic
303#14519750—21no—
304#14519750—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519747—21no—
310#14519747—21no—
311#14519745—21no—
312#14519745—21no—
313C4×Dic122—21no—
314C4×Dic122—21no—
315C4×Dic122C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320#14519742—21no—
321C4×D244—21no—
322C4×D244—21no—
323C4×D244—21no—
324C4×D244—21no—
325C4×D244—21no—
326C4×D244C2311yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332C4×D244C2311yescharacteristic
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336C4×D244C2311yescharacteristic
337D4×Dic61—21no—
338D4×Dic61—21no—
339#14519739—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519736C2311yescharacteristic
352#14519736C2311yescharacteristic
353#14519736C2311yescharacteristic
354#14519734—21no—
355#14519734—21no—
356#14519734—21no—
357#14519734—21no—
358#14519734—21no—
359#14519734—21no—
360#14519733—21no—
361#14519733—21no—
362C2×C4⋊Dic61C2311yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C2×C4⋊Dic61C2311yescharacteristic
366C2×C4⋊Dic61C2311yescharacteristic
367C2×C4⋊Dic61C2311yescharacteristic
368C2×#11758196—21no—
369C2×#11758196—21no—
370C2×#11758196—21no—
371C2×#11758196—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C2×#11758198—21no—
375C2×#11758198—21no—
376C22⋊C4×D61—21no—
377C22⋊C4×D61—21no—
378C42×D61—21no—
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519711C2311yescharacteristic
383#14519711C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519711C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519711C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519709C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519709C2311yescharacteristic
402#14519709C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519699C2311yescharacteristic
429#14519699C2311yescharacteristic
430#14519699C2311yescharacteristic
431#14519699C2311yescharacteristic
432#14519699C2311yescharacteristic
433#14519699C2311yescharacteristic
434#14519699C2311yescharacteristic
435C2×#41×C61D411yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C2×M16×C61C2311yescharacteristic
438C2×M16×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442C4×Q8×C61D411yescharacteristic
443C4×Q8×C61C2311yescharacteristic
444C4×D4×C61D411yescharacteristic
445C4×D4×C61D411yescharacteristic
446C4×D4×C61D411yescharacteristic
447C4×D4×C61C2311yescharacteristic
448C4×D4×C61C2311yescharacteristic
449C4×D4×C61C2311yescharacteristic
450#117×C61D411yescharacteristic
451#117×C61D411yescharacteristic
452#117×C61D411yescharacteristic
453C2×C42×C61C2311yescharacteristic
454C2×C42×C61C2311yescharacteristic
455C2×C42×C61C2311yescharacteristic
456C4⋊C8×C61C2311yescharacteristic
457C4⋊C8×C61C2311yescharacteristic
458C4⋊C8×C61C2311yescharacteristic
459C4⋊C8×C61C2311yescharacteristic
460C4⋊C8×C61C2311yescharacteristic
461C4⋊C8×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
470C22⋊C8×C61C2311yescharacteristic
471C22⋊C8×C61C2311yescharacteristic
472#97×C61C2311yescharacteristic
473#97×C61C2311yescharacteristic
474#97×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480#41×C61—42no—
481C2×Q8×C61C2×D411yescharacteristic
482C2×D4×C61C2×D411yescharacteristic
483C2×D4×C61C2×D411yescharacteristic
484C2×D4×C61C2×D411yescharacteristic
485C22×C4×C61C2×D411yescharacteristic
486C22×C4×C61C2×D411yescharacteristic
487C22×C4×C61C2×D411yescharacteristic
488C22×C4×C61C2×D411yescharacteristic
489C22×C4×C61C2×D411yescharacteristic
490C22×C4×C61C2×D411yescharacteristic
491C22×C4×C61C2411yescharacteristic
492C22×C4×C61C2411yescharacteristic
493C22×C4×C61C2411yescharacteristic
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508#11758224—44no—
509D4×D61—44no—
510#11758222—22no—
511#11758222—41no—
512#11758222—82no—
513C2×D244—22no—
514C2×D244—22no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—21no—
519C2×D244—41no—
520C2×D244—41no—
521C2×D244C2411yescharacteristic
522C2×D244C2411yescharacteristic
523C2×D244C2411yescharacteristic
524C2×D244C2411yescharacteristic
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—82no—
538C2×C4×D61—82no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544M16×C61—41no—
545M16×C61—41no—
546M16×C61—41no—
547M16×C61—41no—
548C2×C8×C61—41no—
549C2×C8×C61—41no—
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C22⋊C4×C61C2×D411yescharacteristic
565C22⋊C4×C61C2×D411yescharacteristic
566C22⋊C4×C61C2×D411yescharacteristic
567C22⋊C4×C61C2×D411yescharacteristic
568C22⋊C4×C61C2×D411yescharacteristic
569C22⋊C4×C61C2×D411yescharacteristic
570C42×C61C2×D411yescharacteristic
571C42×C61C2×D411yescharacteristic
572C42×C61C2×D411yescharacteristic
573C42×C61C2×D411yescharacteristic
574C42×C61C2×D411yescharacteristic
575C42×C61C2×D411yescharacteristic
576C42×C61C2411yescharacteristic
577C42×C61C2411yescharacteristic
578C42×C61C2411yescharacteristic
579C42×C61C2411yescharacteristic
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—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#11758198—21no—
611#11758198—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667Dic244—41no—
668D488—22no—
669D488—41no—
670D488—41no—
671#11758190—22no—
672#11758190—41no—
673#11758190—41no—
674#11758190—41no—
675C23×C61C22×D411yescharacteristic
676C23×C61C22×D411yescharacteristic
677C23×C61C22×D411yescharacteristic
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—42no—
685C22×D61—42no—
686C22×D61—81no—
687C22×D61—81no—
688Q8×C61—41no—
689D4×C61—22no—
690D4×C61—22no—
691D4×C61—41no—
692C2×C4×C61—22no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—41no—
700C2×C4×C61—41no—
701C2×C4×C61—41no—
702C2×C4×C61—41no—
703C2×C4×C61—41no—
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C2511yescharacteristic
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—42no—
737C2×Dic61—42no—
738C2×Dic61—81no—
739C2×Dic61—81no—
740C2×Dic61—81no—
741C2×Dic61—81no—
742D244—21no—
743D244—21no—
744D244—21no—
745D244—21no—
746D244—21no—
747D244—21no—
748D244—21no—
749D244—42no—
750D244—42no—
751D244—42no—
752D244—81no—
753D2442−1+412yes—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—81no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766Dic122—21no—
767Dic122—21no—
768Dic122—21no—
769Dic122—21no—
770Dic122—42no—
771Dic122—81no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777C8×C61—21no—
778C8×C61—21no—
779C8×C61—21no—
780C8×C61—21no—
781#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—21no—
789C22×C61—21no—
790C22×C61#57512yes—
791C22×C61C23×D411yescharacteristic
792C2×D61—22no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
805C2×D61—84no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—21no—
812C4×C61—21no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61C2×2−1+411yescharacteristic
818C4×C61#58511yescharacteristic
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989D6111yescharacteristic, complemented
862C2×C61—22no—
863C2×C61—41no—
864C2×C61—41no—
865C2×C61#348911yescharacteristic
866C2×C61C2×#57511yescharacteristic
867C2×C61#358511yescharacteristic
868D61—42no—
869D61—81no—
870D61—81no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554—611no—
878#553—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—1221no—
907C2×#125—611no—
908C2×#125—611no—
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41C2×D6111yescharacteristic
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481—611no—
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478—611no—
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446C2×D6111yescharacteristic, complemented
1006#446C2×D6111yescharacteristic, complemented
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436C2×D6111yescharacteristic, complemented
1020#436C2×D6111yescharacteristic, complemented
1021#435C2×D6111yescharacteristic
1022#435C2×D6111yescharacteristic
1023#435C2×D6111yescharacteristic, complemented
1024#435C2×D6111yescharacteristic, complemented
1025#432C2×D6111yescharacteristic, complemented
1026#432C2×D6111yescharacteristic, complemented
1027#431C2×D6111yescharacteristic, complemented
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423C2×D6111yescharacteristic, complemented
1035#423C2×D6111yescharacteristic, complemented
1036C2×C4⋊C8C2×D6111yescharacteristic, complemented
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—1221no—
1046C2×#41—1221no—
1047C2×#41D24411yescharacteristic
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8—611no—
1061C2×M16C22×D6111yescharacteristic
1062C2×M16C22×D6111yescharacteristic
1063C2×M16C22×D6111yescharacteristic
1064C2×M16C22×D6111yescharacteristic
1065C22×C8C22×D6111yescharacteristic
1066C22×C8C22×D6111yescharacteristic
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—1221no—
1071#127—611no—
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#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125—1221no—
1102#124—611no—
1103#124—611no—
1104#124—611no—
1105#124—1221no—
1106#124—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—
1122#123—1221no—
1123#123—1221no—
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—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8D24411yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
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×D4D24411yescharacteristic
1202C4×D4D24411yescharacteristic
1203C4×D4D24411yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117D24411yescharacteristic
1219#117D24411yescharacteristic
1220#117D24411yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—1221no—
1238C2×C42C22×D6111yescharacteristic
1239C2×C42C22×D6111yescharacteristic
1240C2×C42C22×D6111yescharacteristic
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107—611no—
1252#107—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106—611no—
1263#106—611no—
1264#106—611no—
1265C4⋊C8C22×D6111yescharacteristic
1266C4⋊C8C22×D6111yescharacteristic
1267C4⋊C8C22×D6111yescharacteristic
1268C4⋊C8C22×D6111yescharacteristic
1269C4⋊C8C22×D6111yescharacteristic
1270C4⋊C8C22×D6111yescharacteristic
1271C4⋊C8C22×D6111yescharacteristic
1272C4⋊C8C22×D6111yescharacteristic
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—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#102—611no—
1296#102—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—
1307C22⋊C8C22×D6111yescharacteristic
1308C22⋊C8C22×D6111yescharacteristic
1309C22⋊C8C22×D6111yescharacteristic
1310C22⋊C8C22×D6111yescharacteristic
1311C22⋊C8C22×D6111yescharacteristic
1312C22⋊C8C22×D6111yescharacteristic
1313#97C22×D6111yescharacteristic
1314#97C22×D6111yescharacteristic
1315#97C22×D6111yescharacteristic
1316#97C22×D6111yescharacteristic
1317C4×C8C22×D6111yescharacteristic
1318C4×C8C22×D6111yescharacteristic
1319C24—1221no—
1320C24—1221no—
1321#41—42no—
1322#41—1222no—
1323#41—4882no—
1324#41—2441no—
1325#41—2444no—
1326C2×Q8—611no—
1327C2×Q8—611no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8C2×D24411yescharacteristic
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—1222no—
1337C2×D4—1222no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2444no—
1353C2×D4C2×D24411yescharacteristic
1354C2×D4C2×D24411yescharacteristic
1355C2×D4C2×D24411yescharacteristic
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
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×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—4882no—
1375C22×C4—4882no—
1376C22×C4C2×D24411yescharacteristic
1377C22×C4C2×D24411yescharacteristic
1378C22×C4C2×D24411yescharacteristic
1379C22×C4C2×D24411yescharacteristic
1380C22×C4C2×D24411yescharacteristic
1381C22×C4C2×D24411yescharacteristic
1382C22×C4C23×D6111yescharacteristic
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—1222no—
1391D8—2441no—
1392D8—2441no—
1393M16—41no—
1394M16—41no—
1395M16—41no—
1396M16—41no—
1397C2×C8—41no—
1398C2×C8—41no—
1399C2×C8C23×D6111yescharacteristic
1400C2×C8C23×D6111yescharacteristic
1401C2×C8C23×D6111yescharacteristic
1402C2×C8C23×D6111yescharacteristic
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
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—611no—
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⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
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⋊C4C2×D24411yescharacteristic
1455C4⋊C4C2×D24411yescharacteristic
1456C4⋊C4C2×D24411yescharacteristic
1457C4⋊C4C2×D24411yescharacteristic
1458C4⋊C4C2×D24411yescharacteristic
1459C4⋊C4C2×D24411yescharacteristic
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⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4C2×D24411yescharacteristic
1493C22⋊C4C2×D24411yescharacteristic
1494C22⋊C4C2×D24411yescharacteristic
1495C22⋊C4C2×D24411yescharacteristic
1496C22⋊C4C2×D24411yescharacteristic
1497C22⋊C4C2×D24411yescharacteristic
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42C2×D24411yescharacteristic
1507C42C2×D24411yescharacteristic
1508C42C2×D24411yescharacteristic
1509C42C2×D24411yescharacteristic
1510C42C2×D24411yescharacteristic
1511C42C2×D24411yescharacteristic
1512C42C23×D6111yescharacteristic
1513C42C23×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—1221no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23—4881no—
1521C23—4881no—
1522C23—2442no—
1523C23—2442no—
1524C23—2442no—
1525C23—2442no—
1526C23C22×D24411yescharacteristic
1527C23C22×D24411yescharacteristic
1528C23C22×D24411yescharacteristic
1529Q8—41no—
1530Q8—1221no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—4881no—
1535Q8—4881no—
1536Q8—2442no—
1537D4—22no—
1538D4—22no—
1539D4—41no—
1540D4—612no—
1541D4—1221no—
1542D4—1221no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—1221no—
1547D4—1221no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2442no—
1553D4—2442no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—2442no—
1595C2×C4—2442no—
1596C2×C4—2442no—
1597C2×C4—2442no—
1598C2×C4—2442no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4C22×D24411yescharacteristic
1603C2×C4C22×D24411yescharacteristic
1604C2×C4C22×D24411yescharacteristic
1605C2×C4C22×D24411yescharacteristic
1606C2×C4C22×D24411yescharacteristic
1607C2×C4C22×D24411yescharacteristic
1608C2×C4C22×D24411yescharacteristic
1609C2×C4C22×D24411yescharacteristic
1610C2×C4C22×D24411yescharacteristic
1611C2×C4C22×D24411yescharacteristic
1612C2×C4C22×D24411yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—1222no—
1631C22—4884no—
1632C22—4884no—
1633C22—2441no—
1634C22—2441no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22#1684056212yes—
1645C22C23×D24411yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—2441no—
1658C4—2441no—
1659C4—2441no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C42−1+4×D6111yescharacteristic
1670C4#1684059711yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—41no—
1674C2—4881no—
1675C2—4881no—
1676C2—4881no—
1677C2—2442no—
1678C2#2145950011yescharacteristic
1679C2C2×#1684056211yescharacteristic
1680C2#2146060011yescharacteristic
subgroupG/H
centerC22C23×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#2989C2
socleC22×C61C23×D4
hypercenter#2989D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2989

Complements

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

NH ≅ G/Ntype
1. #21459797C2semidirect
2. #21459429C2semidirect
3. #21458779C2semidirect
4. #21458766C2semidirect
5. #21458589C2semidirect
6. #21458574C2semidirect
7. #21458424C2semidirect
8. #21458381C2semidirect
9. #21458306C2semidirect
10. #21458306C2semidirect
11. #21458291C2semidirect
12. #21458276C2semidirect
13. #21458037C2semidirect
14. #21458022C2semidirect
15. #21457962C2semidirect
16. #21457902C2semidirect
17. #21457842C2semidirect
18. #21457782C2semidirect
19. #21457220C2semidirect
20. #21457182C2semidirect
21. #21457171C2semidirect
22. #21457061C2semidirect
23. #21457011C2semidirect
24. #21456989C2semidirect
25. #21455959C2semidirect
26. #21455930C2semidirect
27. #21455868C2semidirect
28. #21455642C2semidirect
29. #21455618C2semidirect
30. C2×#16840063C2semidirect
31. C61×#2989C2semidirect
33. #16840490C22semidirect
35. #16840472C22semidirect
37. #16840469C22semidirect
41. #16840458C22semidirect
44. #16840452C22semidirect
50. #16840416C22semidirect
59. #16840319C22semidirect
64. #16840296C22semidirect
65. #16840296C22semidirect
66. #16840296C22semidirect
67. C2×#14519769C22semidirect
68. C2×#14519769C22semidirect
76. #16840171C22semidirect
77. #16840171C22semidirect
78. #16840171C22semidirect
79. #16840171C22semidirect
80. #16840164C22semidirect
81. #16840164C22semidirect
84. #16840122C22semidirect
85. #16840122C22semidirect
86. #16840117C22semidirect
87. #16840117C22semidirect
88. #16840104C22semidirect
89. #16840104C22semidirect
90. #16840104C22semidirect
91. #16840098C22semidirect
92. #16840098C22semidirect
93. #16840093C22semidirect
94. #16840093C22semidirect
97. #16840087C22semidirect
99. #16840081C22semidirect
100. #16840081C22semidirect
101. #16840081C22semidirect
103. #16840076C22semidirect
104. #16840076C22semidirect
105. #16840076C22semidirect
106. #16840070C22semidirect
107. #16840070C22semidirect
108. #16840070C22semidirect
109. #16840070C22semidirect
110. #16840070C22semidirect
111. #16840070C22semidirect
112. #16840070C22semidirect
120. #16840063C22semidirect
121. #16840063C22semidirect
122. #16840063C22semidirect
123. #16840063C22semidirect
124. #16840063C22semidirect
125. #16840063C22semidirect
126. #16840063C22semidirect
127. #16840063C22semidirect
128. #16840063C22semidirect
129. #16840063C22semidirect
131. #16840053C22semidirect
132. #16840048C22semidirect
134. #16840043C22semidirect
135. #16840043C22semidirect
136. #16840020C22semidirect
138. #16840015C22semidirect
139. #16840015C22semidirect
141. #16840008C22semidirect
142. #16840008C22semidirect
143. #16840008C22semidirect
144. #16840003C22semidirect
147. #16839991C22semidirect
148. #16839985C22semidirect
149. #16839985C22semidirect
150. #16839985C22semidirect
152. #16839978C22semidirect
153. #16839978C22semidirect
154. #16839978C22semidirect
155. #16839978C22semidirect
166. #16839875C22semidirect
167. #16839870C22semidirect
170. #16839864C22semidirect
171. #16839864C22semidirect
173. C4×#11758190C22semidirect
175. C4×D488C22semidirect
176. #16839804C22semidirect
177. #16839804C22semidirect
178. #16839804C22semidirect
179. #16839804C22semidirect
180. C2×#14519711C22semidirect
181. C2×#14519709C22semidirect
189. C61×#446C22semidirect
190. C61×#446C22semidirect
191. C61×#436C22semidirect
192. C61×#436C22semidirect
195. C61×#435C22semidirect
196. C61×#435C22semidirect
197. C61×#432C22semidirect
198. C61×#432C22semidirect
199. C61×#431C22semidirect
200. C61×#423C22semidirect
201. C61×#423C22semidirect
202. C2×C4⋊C8×C61C22semidirect
861. #2989D61semidirect
1005. #446C2×D61semidirect
1006. #446C2×D61semidirect
1019. #436C2×D61semidirect
1020. #436C2×D61semidirect
1023. #435C2×D61semidirect
1024. #435C2×D61semidirect
1025. #432C2×D61semidirect
1026. #432C2×D61semidirect
1027. #431C2×D61semidirect
1034. #423C2×D61semidirect
1035. #423C2×D61semidirect
1036. C2×C4⋊C8C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597972
#214594292
#214587792
#214587662
#214585892
#214585742
#214584242
#214583812
#214583062
#214582912
#214582762
#214580372
#214580222
#214579622
#214579022
#214578422
#214577822
#214572202
#214571822
#214571712
#214570612
#214570112
#214569892
#214559592
#214559302
#214558682
#214556422
#214556182
C2×#168400632
C61×#29892
#6211961