Finite Group Databasebeta

← #30566914

Subgroups — #30566914

Order 15616.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460192C211yesmaximal, characteristic, complemented
2#21459587C211yesmaximal, characteristic, complemented
3#21457988C211yesmaximal, characteristic, complemented
4#21457986C211yesmaximal, characteristic, complemented
5#21457884C211yesmaximal, characteristic, complemented
6#21457882C211yesmaximal, characteristic, complemented
7#21457828C211yesmaximal, characteristic, complemented
8#21457826C211yesmaximal, characteristic, complemented
9#21457804C211yesmaximal, characteristic, complemented
10#21457409C211yesmaximal, characteristic, complemented
11#21457405C211yesmaximal, characteristic, complemented
12#21457356C211yesmaximal, characteristic, complemented
13#21457352C211yesmaximal, characteristic, complemented
14#21457336C211yesmaximal, characteristic, complemented
15#21457332C211yesmaximal, characteristic, complemented
16#21457320C211yesmaximal, characteristic, complemented
17#21457316C211yesmaximal, characteristic, complemented
18#21456855C211yesmaximal, characteristic, complemented
19#21456815C211yesmaximal, characteristic, complemented
20#21456723C211yesmaximal, characteristic, complemented
21#21456719C211yesmaximal, characteristic, complemented
22#21456672C211yesmaximal, characteristic, complemented
23#21456664C211yesmaximal, characteristic, complemented
24#21455988C211yesmaximal, characteristic, complemented
25#21455943C211yesmaximal, characteristic, complemented
26#21455139C211yesmaximal, characteristic, complemented
27#21455136C211yesmaximal, characteristic, complemented
28#21455102C211yesmaximal, characteristic, complemented
29#21455100C211yesmaximal, characteristic, complemented
30#21454887C211yesmaximal, characteristic, complemented
31C61×#3308C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic, complemented
33C2×#14519824C2211yescharacteristic, complemented
34C2×#14519810C2211yescharacteristic, complemented
35C2×#14519808C2211yescharacteristic, complemented
36C2×#14519804C2211yescharacteristic
37C2×#14519801C2211yescharacteristic
38C2×#14519799C2211yescharacteristic, complemented
39C2×#14519797C2211yescharacteristic, complemented
40C2×SD16×D61C2211yescharacteristic
41C2×SD16×D61C2211yescharacteristic
42#16840502—21no—
43#16840502—21no—
44#16840486C2211yescharacteristic
45#16840460C2211yescharacteristic
46#16840460C2211yescharacteristic
47#16840433C2211yescharacteristic
48#16840431—21no—
49#16840431C2211yescharacteristic, complemented
50#16840430—21no—
51#16840430C2211yescharacteristic, complemented
52Q8×C22⋊D61C2211yescharacteristic, complemented
53#16840425—21no—
54#16840425C2211yescharacteristic, complemented
55#16840424C2211yescharacteristic
56#16840421—21no—
57#16840421C2211yescharacteristic, complemented
58#16840420—21no—
59#16840420C2211yescharacteristic
60#16840409C2211yescharacteristic
61#16840409C2211yescharacteristic
62#16840403—21no—
63D4×D244C2211yescharacteristic
64#16840385—21no—
65#16840348—21no—
66#16840348—21no—
67#16840343C2211yescharacteristic
68#16840343C2211yescharacteristic
69#16840342—21no—
70#16840342C2211yescharacteristic, complemented
71#16840341—21no—
72#16840341C2211yescharacteristic, complemented
73#16840328C2211yescharacteristic
74#16840328C2211yescharacteristic
75#16840326—21no—
76#16840313C2211yescharacteristic
77#16840311—21no—
78#16840311C2211yescharacteristic, complemented
79#16840309—21no—
80#16840309C2211yescharacteristic
81#16840294C2211yescharacteristic
82C4×Q8×D61C2211yescharacteristic, complemented
83#16840153C2211yescharacteristic
84#16840152C2211yescharacteristic
85#16840151C2211yescharacteristic
86#16840150C2211yescharacteristic
87#16840129C2211yescharacteristic, complemented
88#16840125C2211yescharacteristic, complemented
89#16840124C2211yescharacteristic, complemented
90#16840105C2211yescharacteristic, complemented
91#16840101C2211yescharacteristic, complemented
92#16840099C2211yescharacteristic, complemented
93#16840097C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840085C2211yescharacteristic, complemented
96#16840079C2211yescharacteristic
97#16840077C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic, complemented
99#16840075C2211yescharacteristic, complemented
100#16840068C2211yescharacteristic, complemented
101#16840067C2211yescharacteristic, complemented
102#16840054C2211yescharacteristic, complemented
103#16840015C2211yescharacteristic, complemented
104#16840013C2211yescharacteristic, complemented
105#16840011C2211yescharacteristic
106#16840009C2211yescharacteristic
107#16840009C2211yescharacteristic, complemented
108#16840007C2211yescharacteristic, complemented
109#16840006C2211yescharacteristic
110#16840004C2211yescharacteristic, complemented
111#16840002C2211yescharacteristic, complemented
112#16839999C2211yescharacteristic
113#16839997C2211yescharacteristic
114#16839996C2211yescharacteristic
115#16839993C2211yescharacteristic, complemented
116#16839991C2211yescharacteristic, complemented
117#16839985C2211yescharacteristic, complemented
118#16839983C2211yescharacteristic
119#16839982C2211yescharacteristic
120#16839981C2211yescharacteristic, complemented
121#16839977C2211yescharacteristic
122#16839966C2211yescharacteristic, complemented
123#16839966C2211yescharacteristic, complemented
124#16839963C2211yescharacteristic
125#16839962C2211yescharacteristic
126#16839956C2211yescharacteristic, complemented
127#16839956C2211yescharacteristic, complemented
128#16839927C2211yescharacteristic, complemented
129#16839927C2211yescharacteristic, complemented
130#16839926C2211yescharacteristic, complemented
131#16839925C2211yescharacteristic, complemented
132#16839925C2211yescharacteristic, complemented
133#16839922C2211yescharacteristic, complemented
134#16839919C2211yescharacteristic, complemented
135#16839919C2211yescharacteristic, complemented
136#16839919C2211yescharacteristic, complemented
137#16839914C2211yescharacteristic
138#16839911C2211yescharacteristic
139#16839910C2211yescharacteristic
140#16839910C2211yescharacteristic, complemented
141#16839910C2211yescharacteristic, complemented
142#16839909C2211yescharacteristic, complemented
143#16839909C2211yescharacteristic, complemented
144#16839908C2211yescharacteristic
145#16839908C2211yescharacteristic, complemented
146#16839908C2211yescharacteristic, complemented
147#16839907C2211yescharacteristic, complemented
148#16839906C2211yescharacteristic
149#16839905C2211yescharacteristic
150#16839905C2211yescharacteristic, complemented
151#16839904C2211yescharacteristic
152#16839903C2211yescharacteristic, complemented
153#16839902C2211yescharacteristic
154#16839902C2211yescharacteristic
155#16839902C2211yescharacteristic, complemented
156#16839902C2211yescharacteristic, complemented
157#16839901C2211yescharacteristic, complemented
158#16839900C2211yescharacteristic
159#16839899C2211yescharacteristic
160#16839897C2211yescharacteristic
161#16839894C2211yescharacteristic
162#16839870C2211yescharacteristic, complemented
163#16839867C2211yescharacteristic, complemented
164#16839865C2211yescharacteristic, complemented
165#16839865C2211yescharacteristic, complemented
166#16839862C2211yescharacteristic
167#16839861C2211yescharacteristic, complemented
168#16839861C2211yescharacteristic, complemented
169#16839836C2211yescharacteristic, complemented
170#16839835C2211yescharacteristic
171#16839834C2211yescharacteristic, complemented
172#16839833C2211yescharacteristic, complemented
173#16839832C2211yescharacteristic
174#16839831C2211yescharacteristic, complemented
175#16839830C2211yescharacteristic, complemented
176#16839818C2211yescharacteristic, complemented
177#16839817C2211yescharacteristic, complemented
178#16839769C2211yescharacteristic, complemented
179#16839769C2211yescharacteristic, complemented
180#16839761C2211yescharacteristic, complemented
181#16839757C2211yescharacteristic, complemented
182#16839755C2211yescharacteristic, complemented
183C2×#14519700C2211yescharacteristic, complemented
184#16839730C2211yescharacteristic, complemented
185#16839728C2211yescharacteristic, complemented
186#16839727C2211yescharacteristic, complemented
187#16839727C2211yescharacteristic, complemented
188C61×#548C2211yescharacteristic, complemented
189C61×#547C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#477C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic
195C61×#466C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#448C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C2×#103×C61C2211yescharacteristic, complemented
203#14519825—42no—
204#14519825—42no—
205#14519824—42no—
206#14519824—42no—
207C2×#11758226—21no—
208C2×#11758226—21no—
209C2×#11758226C2311yescharacteristic
210C2×#11758226C2311yescharacteristic
211C2×#11758222—21no—
212C2×#11758222—21no—
213C2×#11758222—21no—
214C2×#11758222C2311yescharacteristic
215C2×#11758222C2311yescharacteristic
216C2×#11758222C2311yescharacteristic
217C2×#11758222C2311yescharacteristic
218C2×#11758222C2311yescharacteristic
219C2×#11758224—21no—
220C2×#11758224—21no—
221C2×#11758224C2311yescharacteristic
222C2×#11758224C2311yescharacteristic
223C22×Dic122—21no—
224C22×Dic122C2311yescharacteristic
225C2×Q8×D61—21no—
226C2×Q8×D61C2311yescharacteristic
227C2×Q8×D61C2311yescharacteristic
228C2×Q8×D61C2311yescharacteristic
229C22×D244—21no—
230C2×D4×D61C2311yescharacteristic
231C2×D4×D61C2311yescharacteristic
232#14519810—42no—
233#14519808—42no—
234#14519804—42no—
235#14519801—42no—
236#14519799—42no—
237#14519797—42no—
238C2×Dic244C2311yescharacteristic
239C2×Dic244C2311yescharacteristic
240C2×#11758202C2311yescharacteristic
241C2×#11758202C2311yescharacteristic
242C2×#11758190C2311yescharacteristic
243C2×#11758190C2311yescharacteristic
244C2×#11758190C2311yescharacteristic
245C2×#11758190C2311yescharacteristic
246C2×#11758190C2311yescharacteristic
247C2×#11758200C2311yescharacteristic
248C2×#11758200C2311yescharacteristic
249C2×#11758200C2311yescharacteristic
250C2×#11758201C2311yescharacteristic
251C2×#11758201C2311yescharacteristic
252C2×#11758201C2311yescharacteristic
253C2×#11758201C2311yescharacteristic
254SD16×D61—42no—
255SD16×D61—42no—
256C2×D488C2311yescharacteristic
257C2×D488C2311yescharacteristic
258C2×#11758199C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758199C2311yescharacteristic
261C2×#11758194C2311yescharacteristic
262C2×#11758189C2311yescharacteristic
263C2×#11758189C2311yescharacteristic
264C22×#92418C2311yescharacteristic
265C2×C8×D61C2311yescharacteristic
266C2×C8×D61C2311yescharacteristic
267#14519776—21no—
268#14519776D411yescharacteristic
269#14519775—21no—
270#14519775C2311yescharacteristic
271#14519774C2311yescharacteristic
272#14519773—21no—
273#14519773—21no—
274#14519773—21no—
275#14519773—21no—
276#14519773—21no—
277#14519773D411yescharacteristic
278#14519773C2311yescharacteristic
279#14519772—21no—
280#14519772—21no—
281#14519772—21no—
282#14519772—21no—
283#14519770—21no—
284#14519768C2311yescharacteristic
285#14519766—21no—
286#14519766—21no—
287#14519765—21no—
288#14519765C2311yescharacteristic
289#14519764C2311yescharacteristic
290#14519763—21no—
291#14519763—21no—
292#14519763—21no—
293#14519763—21no—
294#14519763D411yescharacteristic
295#14519763D411yescharacteristic
296#14519762—21no—
297#14519762—21no—
298#14519759—21no—
299#14519759—21no—
300#14519759—21no—
301#14519757—21no—
302#14519757—21no—
303#14519757—21no—
304#14519757C2311yescharacteristic
305#14519757C2311yescharacteristic
306#14519757C2311yescharacteristic
307#14519757C2311yescharacteristic
308#14519756—21no—
309#14519756C2311yescharacteristic
310#14519755—21no—
311#14519755—21no—
312#14519755—21no—
313#14519754—21no—
314#14519754—21no—
315#14519754—21no—
316#14519753—21no—
317#14519753C2311yescharacteristic
318#14519752—21no—
319#14519752—21no—
320#14519752—21no—
321#14519752—21no—
322#14519752—21no—
323#14519752D411yescharacteristic
324#14519752C2311yescharacteristic
325#14519752C2311yescharacteristic
326#14519752C2311yescharacteristic
327#14519752C2311yescharacteristic
328#14519752C2311yescharacteristic
329#14519751—21no—
330#14519751—21no—
331#14519751—21no—
332#14519751—21no—
333#14519751—21no—
334#14519751—21no—
335#14519751—21no—
336#14519751—21no—
337#14519751C2311yescharacteristic
338#14519751C2311yescharacteristic
339#14519751C2311yescharacteristic
340#14519750—21no—
341#14519750—21no—
342#14519750—21no—
343#14519750—21no—
344#14519750—21no—
345#14519750—21no—
346#14519750—21no—
347#14519750—21no—
348#14519750—21no—
349#14519750D411yescharacteristic
350#14519750D411yescharacteristic
351#14519749—21no—
352#14519749—21no—
353#14519749—21no—
354#14519748—21no—
355#14519748—21no—
356#14519748—21no—
357#14519748—21no—
358#14519748D411yescharacteristic
359#14519748C2311yescharacteristic
360#14519748C2311yescharacteristic
361#14519747—21no—
362#14519747—21no—
363#14519747—21no—
364#14519747—21no—
365#14519745—21no—
366#14519745—21no—
367#14519745—21no—
368#14519745—21no—
369Q8×Dic61—21no—
370Q8×Dic61C2311yescharacteristic
371C4×Dic122—21no—
372C4×Dic122C2311yescharacteristic
373C4×Dic122C2311yescharacteristic
374#14519742—21no—
375#14519742C2311yescharacteristic
376C4×D244—21no—
377C4×D244C2311yescharacteristic
378#14519739—21no—
379#14519739—21no—
380#14519739C2311yescharacteristic
381#14519739C2311yescharacteristic
382C4×C22⋊D61—21no—
383C4×C22⋊D61—21no—
384C4×C22⋊D61—21no—
385C4×C22⋊D61—21no—
386C4×C22⋊D61—21no—
387C4×C22⋊D61C2311yescharacteristic
388C4×C22⋊D61C2311yescharacteristic
389#14519737—21no—
390#14519737—21no—
391#14519737—21no—
392#14519737—21no—
393#14519737—21no—
394#14519737—21no—
395#14519736—21no—
396#14519735C2311yescharacteristic
397#14519735C2311yescharacteristic
398C4⋊C4×D61—21no—
399C4⋊C4×D61C2311yescharacteristic
400C22⋊C4×D61—21no—
401C22⋊C4×D61—21no—
402C42×D61—21no—
403C42×D61C2311yescharacteristic
404#14519710C2311yescharacteristic
405#14519710C2311yescharacteristic
406#14519710C2311yescharacteristic
407#14519709C2311yescharacteristic
408#14519708C2311yescharacteristic
409C4⋊#92418C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519706C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434C22⋊#92418C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519689C2311yescharacteristic
443#14519689C2311yescharacteristic
444#14519688C2311yescharacteristic
445#14519687C2311yescharacteristic
446#14519687C2311yescharacteristic
447C2×#41×C61—21no—
448C2×#41×C61C2311yescharacteristic
449C22×Q8×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×D8×C61C2311yescharacteristic
453C2×M16×C61C2311yescharacteristic
454C22×C8×C61C2311yescharacteristic
455C4⋊Q8×C61C2311yescharacteristic
456#124×C61—21no—
457#124×C61C2311yescharacteristic
458#123×C61—21no—
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61—21no—
462C22⋊Q8×C61C2311yescharacteristic
463#121×C61—21no—
464#121×C61C2311yescharacteristic
465#121×C61C2311yescharacteristic
466#121×C61C2311yescharacteristic
467C4×Q8×C61C2311yescharacteristic
468C4×D4×C61—21no—
469C4×D4×C61C2311yescharacteristic
470C4×D4×C61C2311yescharacteristic
471C2×C4⋊C4×C61C2311yescharacteristic
472C2×C4⋊C4×C61C2311yescharacteristic
473#107×C61C2311yescharacteristic
474#107×C61C2311yescharacteristic
475#107×C61C2311yescharacteristic
476C4⋊C8×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486#102×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489#97×C61C2311yescharacteristic
490C23×D61—21no—
491C23×D61—21no—
492#41×C61—22no—
493#41×C61—41no—
494#41×C61—82no—
495C2×Q8×C61—21no—
496C2×Q8×C61—21no—
497C2×Q8×C61—22no—
498C2×Q8×C61—41no—
499C2×Q8×C61C2411yescharacteristic
500C2×Q8×C61C2411yescharacteristic
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61C2×D411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61—21no—
513C22×C4×C61C2411yescharacteristic
514C22×C4×C61C2411yescharacteristic
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⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61C2×D411yescharacteristic
530C2×C22⋊D61C2×D411yescharacteristic
531C2×C22⋊D61C2×D411yescharacteristic
532C2×C22⋊D61C2×D411yescharacteristic
533C2×C22⋊D61C2×D411yescharacteristic
534C2×C22⋊D61C2×D411yescharacteristic
535C22×Dic61—21no—
536C22×Dic61—21no—
537C22×Dic61—21no—
538#11758226—22no—
539#11758226—41no—
540#11758226—41no—
541#11758226—41no—
542#11758226—44no—
543#11758226—82no—
544Q8×D61—22no—
545Q8×D61—22no—
546Q8×D61—22no—
547Q8×D61—22no—
548Q8×D61—41no—
549Q8×D61—41no—
550Q8×D61—44no—
551#11758224—22no—
552#11758224—41no—
553#11758224—41no—
554#11758224—41no—
555#11758224—44no—
556#11758224—44no—
557D4×D61—41no—
558D4×D61—41no—
559D4×D61—41no—
560D4×D61—41no—
561#11758222—22no—
562#11758222—41no—
563#11758222—44no—
564#11758222—41no—
565#11758222—41no—
566#11758222—41no—
567#11758222—41no—
568#11758222—41no—
569#11758222—41no—
570#11758222—41no—
571#11758222—41no—
572#11758222—44no—
573#11758222—44no—
574C2×D244—21no—
575C2×D244—21no—
576C2×D244—21no—
577C2×D244—21no—
578C2×D244—21no—
579C2×D244—21no—
580C2×D244—21no—
581C2×D244—21no—
582C2×D244—21no—
583C2×D244—82no—
584C2×D244C2×D411yescharacteristic
585C2×D244C2×D411yescharacteristic
586C2×D244C2×D411yescharacteristic
587C2×D244C2411yescharacteristic
588C2×D244C2411yescharacteristic
589C2×D244C2411yescharacteristic
590C2×C4×D61—21no—
591C2×C4×D61—21no—
592C2×C4×D61—21no—
593C2×C4×D61—21no—
594C2×C4×D61—21no—
595C2×C4×D61—21no—
596C2×C4×D61—21no—
597C2×C4×D61—21no—
598C2×C4×D61—21no—
599C2×C4×D61—21no—
600C2×C4×D61—21no—
601C2×C4×D61C2×D411yescharacteristic
602C2×C4×D61C2×D411yescharacteristic
603C2×C4×D61C2411yescharacteristic
604C2×C4×D61C2411yescharacteristic
605C2×C4×D61C2411yescharacteristic
606C2×Dic122—21no—
607C2×Dic122—22no—
608C2×Dic122—21no—
609C2×Dic122—21no—
610C2×Dic122—21no—
611C2×Dic122—41no—
612C2×Dic122—44no—
613C2×Dic122C2×D411yescharacteristic
614C2×Dic122C2×D411yescharacteristic
615C2×Dic122C2411yescharacteristic
616C2×Dic122C2411yescharacteristic
617C2×Dic122C2411yescharacteristic
618SD16×C61—22no—
619SD16×C61—41no—
620D8×C61—41no—
621M16×C61—41no—
622C2×C8×C61—41no—
623C2×C8×C61C2411yescharacteristic
624C2×C8×C61C2411yescharacteristic
625C2×C8×C61C2411yescharacteristic
626C2×C8×C61C2411yescharacteristic
627C4⋊C4×C61—21no—
628C4⋊C4×C61—21no—
629C4⋊C4×C61—21no—
630C4⋊C4×C61—21no—
631C4⋊C4×C61—21no—
632C4⋊C4×C61C2×D411yescharacteristic
633C4⋊C4×C61C2411yescharacteristic
634C4⋊C4×C61C2411yescharacteristic
635C4⋊C4×C61C2411yescharacteristic
636C4⋊C4×C61C2411yescharacteristic
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61—21no—
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61C2×D411yescharacteristic
645C22⋊C4×C61C2×D411yescharacteristic
646C42×C61—21no—
647C42×C61C2411yescharacteristic
648C22⋊Dic61—21no—
649C22⋊Dic61—21no—
650C22⋊Dic61—21no—
651C22⋊Dic61—21no—
652C22⋊Dic61—21no—
653C22⋊Dic61C2×D411yescharacteristic
654C22⋊Dic61C2×D411yescharacteristic
655#11758202—22no—
656#11758202—41no—
657#11758201—22no—
658#11758201—22no—
659#11758201—41no—
660#11758201—41no—
661#11758200—22no—
662#11758200—41no—
663#11758200—41no—
664#11758199—41no—
665#11758199—41no—
666#11758199—41no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198—21no—
684#11758198—21no—
685#11758198—21no—
686#11758198C2×D411yescharacteristic
687#11758198C2×D411yescharacteristic
688#11758198C2×D411yescharacteristic
689#11758198C2×D411yescharacteristic
690C4⋊Dic61—21no—
691C4⋊Dic61—21no—
692C4⋊Dic61—21no—
693C4⋊Dic61—21no—
694C4⋊Dic61—21no—
695C4⋊Dic61—21no—
696C4⋊Dic61C2×D411yescharacteristic
697C4⋊Dic61C2411yescharacteristic
698C4⋊Dic61C2411yescharacteristic
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196C2×D411yescharacteristic
709#11758196C2×D411yescharacteristic
710C4×Dic61—21no—
711C4×Dic61—21no—
712C4×Dic61—21no—
713C4×Dic61—21no—
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61C2×D411yescharacteristic
717C4×Dic61C2×D411yescharacteristic
718C4×Dic61C2411yescharacteristic
719#11758194—41no—
720C2×#92418—41no—
721C2×#92418C2411yescharacteristic
722C2×#92418C2411yescharacteristic
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725Dic244—22no—
726Dic244—41no—
727D488—41no—
728D488—41no—
729#11758190—22no—
730#11758190—22no—
731#11758190—41no—
732#11758190—41no—
733#11758190—41no—
734#11758189—41no—
735#11758189—41no—
736C8×D61—41no—
737C8×D61—41no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61C22×D411yescharacteristic
741C23×C61C22×D411yescharacteristic
742C22×D61—21no—
743C22×D61—21no—
744C22×D61—21no—
745C22×D61—81no—
746C22×D61—81no—
747C22×D61—81no—
748C22×D61—81no—
749C22×D61—81no—
750C22×D61—81no—
751C22×D61C22×D411yescharacteristic
752C22×D61C22×D411yescharacteristic
753C22×D61C22×D411yescharacteristic
754Q8×C61—21no—
755Q8×C61—21no—
756Q8×C61—21no—
757Q8×C61—42no—
758Q8×C61—42no—
759Q8×C61H(5,𝔽2)12yes—
760D4×C61—21no—
761D4×C61—21no—
762D4×C61—21no—
763D4×C61—21no—
764D4×C61—41no—
765D4×C61—42no—
766D4×C61—81no—
767D4×C61—81no—
768D4×C61—81no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—42no—
780C2×C4×C61—42no—
781C2×C4×C61—42no—
782C2×C4×C61—81no—
783C2×C4×C61—81no—
784C2×C4×C61C22×D411yescharacteristic
785C2×C4×C61C22×D411yescharacteristic
786C2×C4×C61C22×D411yescharacteristic
787C2×C4×C61C22×D411yescharacteristic
788C2×C4×C61C2511yescharacteristic
789C22⋊D61—41no—
790C22⋊D61—41no—
791C22⋊D61—41no—
792C22⋊D61—41no—
793C22⋊D61—41no—
794C22⋊D61—41no—
795C22⋊D61—42no—
796C22⋊D61—42no—
797C22⋊D61—42no—
798C22⋊D61—42no—
799C22⋊D61—81no—
800C22⋊D61—81no—
801C22⋊D61—81no—
802C22⋊D61—81no—
803C22⋊D61—81no—
804C22⋊D61—81no—
805C22⋊D61—81no—
806C22⋊D61—81no—
807C22⋊D61—81no—
808C22⋊D61—81no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—42no—
815C2×Dic61—42no—
816C2×Dic61—42no—
817C2×Dic61C22×D411yescharacteristic
818C2×Dic61C22×D411yescharacteristic
819C2×Dic61C22×D411yescharacteristic
820C2×Dic61C22×D411yescharacteristic
821C2×Dic61C22×D411yescharacteristic
822D244—21no—
823D244—21no—
824D244—21no—
825D244—21no—
826D244—21no—
827D244—21no—
828D244—41no—
829D244—41no—
830D244—41no—
831D244—42no—
832D244—42no—
833D244—42no—
834D244—81no—
835D244—81no—
836D244—81no—
837D244—81no—
838D244—81no—
839D244—81no—
840C4×D61—24no—
841C4×D61—21no—
842C4×D61—21no—
843C4×D61—21no—
844C4×D61—21no—
845C4×D61—21no—
846C4×D61—21no—
847C4×D61—41no—
848C4×D61—41no—
849C4×D61—42no—
850C4×D61—42no—
851C4×D61—42no—
852C4×D61—42no—
853C4×D61—42no—
854C4×D61—81no—
855C4×D61—81no—
856C4×D61—81no—
857C4×D61—81no—
858C4×D61—81no—
859Dic122—24no—
860Dic122—21no—
861Dic122—21no—
862Dic122—21no—
863Dic122—21no—
864Dic122—21no—
865Dic122—41no—
866Dic122—41no—
867Dic122—42no—
868Dic122—42no—
869Dic122—42no—
870Dic122H(5,𝔽2)12yes—
871C8×C61—21no—
872C8×C61—21no—
873C8×C61—21no—
874C8×C61—21no—
875#92418—21no—
876#92418—21no—
877#92418—21no—
878#92418—21no—
879#61671—611nomaximal, Sylow
880C22×C61—21no—
881C22×C61—21no—
882C22×C61—21no—
883C22×C61—21no—
884C22×C61—21no—
885C22×C61—21no—
886C22×C61—41no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61C23×D411yescharacteristic
893C2×D61—21no—
894C2×D61—21no—
895C2×D61—21no—
896C2×D61—21no—
897C2×D61—21no—
898C2×D61—21no—
899C2×D61—21no—
900C2×D61—21no—
901C2×D61—21no—
902C2×D61—41no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—162no—
912C2×D61—162no—
913C4×C61—21no—
914C4×C61—21no—
915C4×C61—22no—
916C4×C61—21no—
917C4×C61—21no—
918C4×C61—41no—
919C4×C61—41no—
920C4×C61—41no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61C2×H(5,𝔽2)11yescharacteristic
924C4×C61C2×H(5,𝔽2)11yescharacteristic
925Dic61—21no—
926Dic61—21no—
927Dic61—21no—
928Dic61—22no—
929Dic61—21no—
930Dic61—21no—
931Dic61—41no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935#3546—611no—
936#3497—611no—
937#3320—611no—
938#3320—611no—
939#3313—611no—
940#3313—611no—
941#3309—611no—
942#3309—611no—
943#3308—611no—
944#3308D6111yescharacteristic, complemented
945#3271—611no—
946#3271—611no—
947#3268—611no—
948#3268—611no—
949#3266—611no—
950#3266—611no—
951#3265—611no—
952#3265—611no—
953#3219—611no—
954#3214—611no—
955#3203—611no—
956#3203—611no—
957#3198—611no—
958#3198—611no—
959#3117—611no—
960#3112—611no—
961#3013—611no—
962#3013—611no—
963#3010—611no—
964#3010—611no—
965#2980—611no—
966C2×C61—41no—
967C2×C61—41no—
968C2×C61—81no—
969C2×C61—81no—
970C2×C61#348411yescharacteristic
971C2×C61#358511yescharacteristic
972C2×C61#358611yescharacteristic
973D61—41no—
974D61—41no—
975D61—41no—
976D61—81no—
977D61—81no—
978D61—81no—
979C2×2−1+4—611no—
980C2×2−1+4—611no—
981C2×#137—611no—
982C2×#137—611no—
983C2×AGL(1,ℤ/8)—611no—
984C2×AGL(1,ℤ/8)—611no—
985C2×#135—611no—
986C2×#135—611no—
987C22×SD16—611no—
988C22×SD16—611no—
989#560—1221no—
990#560—1221no—
991#556—611no—
992#553—611no—
993#553—611no—
994#550—611no—
995#550—611no—
996#550—611no—
997#550—1221no—
998#550—1221no—
999D4×Q8—611no—
1000D4×Q8—611no—
1001D4×Q8—1221no—
1002#548—611no—
1003#548—611no—
1004#548—611no—
1005#548—1221no—
1006#548—1221no—
1007#548C2×D6111yescharacteristic, complemented
1008#547C2×D6111yescharacteristic
1009#546—611no—
1010#546—611no—
1011#546—1221no—
1012D42—611no—
1013#542—1221no—
1014#538—1221no—
1015#538—1221no—
1016#537—611no—
1017#537—611no—
1018#537—611no—
1019#537—611no—
1020#537—1221no—
1021#537—1221no—
1022#535—611no—
1023#535—611no—
1024#535—1221no—
1025#532—611no—
1026#532—611no—
1027#532—611no—
1028#532—1221no—
1029#532—1221no—
1030#529—611no—
1031C2×C4×Q8—611no—
1032#497—611no—
1033#496—611no—
1034#496—611no—
1035#496—611no—
1036#491—611no—
1037#490—611no—
1038#489—611no—
1039#489C2×D6111yescharacteristic, complemented
1040#485—611no—
1041#485—611no—
1042#484—611no—
1043#484—611no—
1044#484C2×D6111yescharacteristic, complemented
1045#482—611no—
1046#482—611no—
1047#481—611no—
1048#480—611no—
1049#480—611no—
1050#480—611no—
1051#480C2×D6111yescharacteristic, complemented
1052#479—611no—
1053#479—611no—
1054#477—611no—
1055#477C2×D6111yescharacteristic, complemented
1056#469—611no—
1057#469—611no—
1058#468—611no—
1059#468—611no—
1060#468—611no—
1061#468—611no—
1062#468—611no—
1063#468C2×D6111yescharacteristic
1064#467—611no—
1065#467—611no—
1066#466—611no—
1067#466—611no—
1068#466—611no—
1069#466C2×D6111yescharacteristic
1070#465—611no—
1071#465—611no—
1072#464—611no—
1073#464—611no—
1074#464—611no—
1075#464—611no—
1076#463—611no—
1077#463C2×D6111yescharacteristic
1078#461—611no—
1079#461—611no—
1080#460—611no—
1081#460—611no—
1082#459—611no—
1083#459—611no—
1084#452—611no—
1085#452—611no—
1086#452—611no—
1087#452—611no—
1088#452—611no—
1089#452—611no—
1090#451—611no—
1091#451—611no—
1092#451—611no—
1093#450—611no—
1094#450—611no—
1095#449—611no—
1096#449—611no—
1097#449—611no—
1098#449—611no—
1099#449—611no—
1100#449—611no—
1101#449—611no—
1102#449—611no—
1103#449—611no—
1104#449—611no—
1105#449—611no—
1106#449—611no—
1107#449—611no—
1108#449C2×D6111yescharacteristic
1109#448—611no—
1110#448—611no—
1111#448—611no—
1112#448—611no—
1113#448—611no—
1114#448—611no—
1115#448—611no—
1116#448—611no—
1117#448C2×D6111yescharacteristic
1118#447—611no—
1119#447—611no—
1120#441—611no—
1121#441—611no—
1122#440—611no—
1123#440—611no—
1124#440—611no—
1125#440—611no—
1126#440—611no—
1127#440C2×D6111yescharacteristic
1128#435—611no—
1129#435—611no—
1130#435—611no—
1131#435—611no—
1132#435—611no—
1133#435—611no—
1134#435—611no—
1135#435C2×D6111yescharacteristic, complemented
1136#432—611no—
1137#432—611no—
1138#419—611no—
1139#419—611no—
1140#417—611no—
1141#417C2×D6111yescharacteristic, complemented
1142#416—611no—
1143#416—611no—
1144C2×#103—611no—
1145C2×#103C2×D6111yescharacteristic, complemented
1146#408—611no—
1147#408—611no—
1148#408—611no—
1149#408—611no—
1150C61#6167111yescharacteristic, complemented, Sylow
11512−1+4—2442no—
11522−1+4—2442no—
11532−1+4—2442no—
11542−1+4—2442no—
1155C2×#41—21no—
1156C2×#41—611no—
1157C2×#41—611no—
1158C2×#41—611no—
1159C2×#41—611no—
1160C2×#41—611no—
1161C2×#41—611no—
1162C2×#41—611no—
1163C2×#41—611no—
1164C2×#41—611no—
1165C2×#41—1221no—
1166C2×#41—1221no—
1167C2×#41—1221no—
1168C2×#41—1221no—
1169C2×#41—1221no—
1170C2×#41—1221no—
1171C2×#41—1221no—
1172C2×#41C22×D6111yescharacteristic
1173C22×Q8—611no—
1174C22×Q8—611no—
1175C22×Q8—611no—
1176C22×Q8—611no—
1177C22×Q8—1221no—
1178C22×Q8—1221no—
1179C22×Q8C22×D6111yescharacteristic
1180C22×D4—611no—
1181C22×D4—611no—
1182C22×D4—1221no—
1183#137—2442no—
1184#137—2442no—
1185AGL(1,ℤ/8)—2442no—
1186AGL(1,ℤ/8)—2442no—
1187#135—2442no—
1188#135—2442no—
1189C2×Q16—611no—
1190C2×Q16—611no—
1191C2×Q16—611no—
1192C2×Q16—611no—
1193C2×SD16—611no—
1194C2×SD16—611no—
1195C2×SD16—611no—
1196C2×SD16—611no—
1197C2×SD16—611no—
1198C2×SD16—611no—
1199C2×SD16—611no—
1200C2×SD16—611no—
1201C2×SD16—611no—
1202C2×SD16—611no—
1203C2×SD16—611no—
1204C2×SD16—611no—
1205C2×SD16—2442no—
1206C2×SD16—2442no—
1207C2×SD16C22×D6111yescharacteristic
1208C2×SD16C22×D6111yescharacteristic
1209C2×D8—611no—
1210C2×D8—611no—
1211C2×D8—611no—
1212C2×D8—611no—
1213C2×D8—611no—
1214C2×D8C22×D6111yescharacteristic
1215C2×M16—611no—
1216C2×M16—611no—
1217C2×M16—611no—
1218C2×M16C22×D6111yescharacteristic
1219C22×C8—611no—
1220C22×C8—611no—
1221C22×C8—611no—
1222C22×C8C22×D6111yescharacteristic
1223C4⋊Q8—611no—
1224C4⋊Q8—611no—
1225C4⋊Q8—1221no—
1226C4⋊Q8—1221no—
1227C4⋊Q8C22×D6111yescharacteristic
1228#127—611no—
1229#127—611no—
1230#127—611no—
1231#127—1221no—
1232#127—1221no—
1233#127—1221no—
1234#127—1221no—
1235#127—1221no—
1236#126—1221no—
1237#126—1221no—
1238#126—1221no—
1239#126—1221no—
1240#126—1221no—
1241#125—611no—
1242#124—21no—
1243#124—611no—
1244#124—611no—
1245#124—611no—
1246#124—611no—
1247#124—1221no—
1248#124—1221no—
1249#124—1221no—
1250#124—1221no—
1251#124—1221no—
1252#124—1221no—
1253#124—1221no—
1254#124C22×D6111yescharacteristic
1255#123—21no—
1256#123—21no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—611no—
1265C22⋊Q8—611no—
1266C22⋊Q8—611no—
1267C22⋊Q8—611no—
1268C22⋊Q8—611no—
1269C22⋊Q8—611no—
1270C22⋊Q8—1221no—
1271C22⋊Q8—1221no—
1272C22⋊Q8—1221no—
1273C22⋊Q8—1221no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8—1221no—
1278C22⋊Q8—1221no—
1279C22⋊Q8—1221no—
1280C22⋊Q8—1221no—
1281C22⋊Q8C22×D6111yescharacteristic
1282#121—21no—
1283#121—611no—
1284#121—611no—
1285#121—611no—
1286#121—611no—
1287#121—611no—
1288#121—611no—
1289#121—611no—
1290#121—611no—
1291#121—611no—
1292#121—611no—
1293#121—611no—
1294#121—611no—
1295#121—611no—
1296#121—611no—
1297#121—1221no—
1298#121—1221no—
1299#121—1221no—
1300#121—1221no—
1301#121—1221no—
1302#121—1221no—
1303#121—1221no—
1304#121—1221no—
1305#121—1221no—
1306#121—1221no—
1307#121—1221no—
1308#121—1221no—
1309#121—1221no—
1310#121—1221no—
1311#121—1221no—
1312#121—1221no—
1313#121—1221no—
1314#121—1221no—
1315#121—1221no—
1316#121—1221no—
1317#121—1221no—
1318#121—1221no—
1319#121—1221no—
1320#121—1221no—
1321#121—1221no—
1322#121—1221no—
1323#121—1221no—
1324#121—1221no—
1325#121—1221no—
1326#121C22×D6111yescharacteristic
1327#121C22×D6111yescharacteristic
1328#121C22×D6111yescharacteristic
1329#120—1221no—
1330#120—1221no—
1331#120—1221no—
1332#120—1221no—
1333#120—1221no—
1334#120—1221no—
1335#120—1221no—
1336#120—1221no—
1337C4×Q8—611no—
1338C4×Q8—611no—
1339C4×Q8—611no—
1340C4×Q8—611no—
1341C4×Q8—1221no—
1342C4×Q8—1221no—
1343C4×Q8—1221no—
1344C4×Q8C22×D6111yescharacteristic
1345C4×D4—21no—
1346C4×D4—611no—
1347C4×D4—611no—
1348C4×D4—611no—
1349C4×D4—611no—
1350C4×D4—611no—
1351C4×D4—1221no—
1352C4×D4—1221no—
1353C4×D4—1221no—
1354C4×D4—1221no—
1355C4×D4—1221no—
1356C4×D4—1221no—
1357C4×D4—1221no—
1358C4×D4—1221no—
1359C4×D4—1221no—
1360C4×D4—1221no—
1361C4×D4—1221no—
1362C4×D4—1221no—
1363C4×D4—1221no—
1364C4×D4—1221no—
1365C4×D4C22×D6111yescharacteristic
1366C4×D4C22×D6111yescharacteristic
1367#117—611no—
1368#117—611no—
1369#117—1221no—
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—1221no—
1372C2×C4⋊C4C22×D6111yescharacteristic
1373C2×C4⋊C4C22×D6111yescharacteristic
1374C2×C22⋊C4—1221no—
1375C2×C22⋊C4—1221no—
1376C2×C42—611no—
1377C2×C42—1221no—
1378#107—611no—
1379#107—611no—
1380#107—611no—
1381#107C22×D6111yescharacteristic
1382#107C22×D6111yescharacteristic
1383#107C22×D6111yescharacteristic
1384#106—611no—
1385#106—611no—
1386C4⋊C8—611no—
1387C4⋊C8—611no—
1388C4⋊C8—611no—
1389C4⋊C8C22×D6111yescharacteristic
1390#103—611no—
1391#103—611no—
1392#103—611no—
1393#103—611no—
1394#103—611no—
1395#103—611no—
1396#103—611no—
1397#103—611no—
1398#103—611no—
1399#103—611no—
1400#103—611no—
1401#103—611no—
1402#103C22×D6111yescharacteristic
1403#103C22×D6111yescharacteristic
1404#103C22×D6111yescharacteristic
1405#103C22×D6111yescharacteristic
1406#103C22×D6111yescharacteristic
1407#103C22×D6111yescharacteristic
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102—611no—
1418#102C22×D6111yescharacteristic
1419#102C22×D6111yescharacteristic
1420#102C22×D6111yescharacteristic
1421#102C22×D6111yescharacteristic
1422C22⋊C8—611no—
1423C22⋊C8—611no—
1424C22⋊C8—611no—
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8—611no—
1428C22⋊C8—611no—
1429C22⋊C8—611no—
1430C22⋊C8—611no—
1431C22⋊C8—611no—
1432C22⋊C8C22×D6111yescharacteristic
1433C22⋊C8C22×D6111yescharacteristic
1434#97—611no—
1435#97—611no—
1436#97—611no—
1437#97C22×D6111yescharacteristic
1438C24—1221no—
1439C24—1221no—
1440#41—22no—
1441#41—41no—
1442#41—82no—
1443#41—1222no—
1444#41—1222no—
1445#41—1222no—
1446#41—4882no—
1447#41—2441no—
1448#41—2441no—
1449#41—2441no—
1450#41—2441no—
1451#41—2441no—
1452#41—2441no—
1453#41—2441no—
1454#41—2441no—
1455#41—2441no—
1456#41—2444no—
1457#41—2444no—
1458#41—2444no—
1459#41—2441no—
1460#41—2441no—
1461#41—2441no—
1462#41—2444no—
1463#41—2441no—
1464#41—2441no—
1465#41—2441no—
1466#41—2444no—
1467#41—2444no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—22no—
1471C2×Q8—41no—
1472C2×Q8—611no—
1473C2×Q8—611no—
1474C2×Q8—611no—
1475C2×Q8—611no—
1476C2×Q8—611no—
1477C2×Q8—1221no—
1478C2×Q8—1221no—
1479C2×Q8—1221no—
1480C2×Q8—1222no—
1481C2×Q8—1222no—
1482C2×Q8—1222no—
1483C2×Q8—1221no—
1484C2×Q8—1222no—
1485C2×Q8—1222no—
1486C2×Q8—2441no—
1487C2×Q8—2444no—
1488C2×Q8—2441no—
1489C2×Q8—2441no—
1490C2×Q8—2444no—
1491C2×Q8C23×D6111yescharacteristic
1492C2×Q8C23×D6111yescharacteristic
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—611no—
1498C2×D4—611no—
1499C2×D4—611no—
1500C2×D4—611no—
1501C2×D4—611no—
1502C2×D4—611no—
1503C2×D4—611no—
1504C2×D4—611no—
1505C2×D4—611no—
1506C2×D4—611no—
1507C2×D4—611no—
1508C2×D4—611no—
1509C2×D4—1221no—
1510C2×D4—1221no—
1511C2×D4—1221no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—1221no—
1515C2×D4—1221no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—1221no—
1519C2×D4—1221no—
1520C2×D4—1221no—
1521C2×D4—1221no—
1522C2×D4—1221no—
1523C2×D4—1221no—
1524C2×D4—1221no—
1525C2×D4—1221no—
1526C2×D4—1221no—
1527C2×D4—1221no—
1528C2×D4—1221no—
1529C2×D4—1221no—
1530C2×D4—1221no—
1531C2×D4—1221no—
1532C2×D4—4882no—
1533C2×D4—2441no—
1534C2×D4—2441no—
1535C2×D4—2441no—
1536C2×D4—2441no—
1537C2×D4D4×D6111yescharacteristic
1538C2×D4C23×D6111yescharacteristic
1539C2×D4C23×D6111yescharacteristic
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—21no—
1544C22×C4—21no—
1545C22×C4—611no—
1546C22×C4—611no—
1547C22×C4—611no—
1548C22×C4—611no—
1549C22×C4—611no—
1550C22×C4—1221no—
1551C22×C4—1221no—
1552C22×C4—1221no—
1553C22×C4—1221no—
1554C22×C4—1221no—
1555C22×C4—1221no—
1556C22×C4—1221no—
1557C22×C4—1221no—
1558C22×C4—1221no—
1559C22×C4—1221no—
1560C22×C4—1221no—
1561C22×C4—1221no—
1562C22×C4—1221no—
1563C22×C4—1221no—
1564C22×C4C23×D6111yescharacteristic
1565C22×C4C23×D6111yescharacteristic
1566Q16—1222no—
1567Q16—1222no—
1568Q16—2441no—
1569Q16—2441no—
1570SD16—22no—
1571SD16—41no—
1572SD16—1222no—
1573SD16—1222no—
1574SD16—1222no—
1575SD16—1222no—
1576SD16—1222no—
1577SD16—2441no—
1578SD16—2441no—
1579SD16—2441no—
1580SD16—2441no—
1581SD16—2441no—
1582SD16—2441no—
1583SD16—2441no—
1584D8—41no—
1585D8—2441no—
1586D8—2441no—
1587D8—2441no—
1588D8—2441no—
1589D8—2441no—
1590M16—41no—
1591M16—2441no—
1592M16—2441no—
1593M16—2441no—
1594C2×C8—41no—
1595C2×C8—611no—
1596C2×C8—611no—
1597C2×C8—611no—
1598C2×C8—611no—
1599C2×C8—2441no—
1600C2×C8—2441no—
1601C2×C8—2441no—
1602C2×C8C23×D6111yescharacteristic
1603C2×C8C23×D6111yescharacteristic
1604C2×C8C23×D6111yescharacteristic
1605C2×C8C23×D6111yescharacteristic
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—611no—
1612C4⋊C4—611no—
1613C4⋊C4—611no—
1614C4⋊C4—611no—
1615C4⋊C4—611no—
1616C4⋊C4—1221no—
1617C4⋊C4—1221no—
1618C4⋊C4—1221no—
1619C4⋊C4—1221no—
1620C4⋊C4—1221no—
1621C4⋊C4—1221no—
1622C4⋊C4—1221no—
1623C4⋊C4—1221no—
1624C4⋊C4—1221no—
1625C4⋊C4—1221no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4—1221no—
1630C4⋊C4—1221no—
1631C4⋊C4D4×D6111yescharacteristic
1632C4⋊C4C23×D6111yescharacteristic
1633C4⋊C4C23×D6111yescharacteristic
1634C4⋊C4C23×D6111yescharacteristic
1635C4⋊C4C23×D6111yescharacteristic
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—611no—
1644C22⋊C4—611no—
1645C22⋊C4—611no—
1646C22⋊C4—611no—
1647C22⋊C4—611no—
1648C22⋊C4—611no—
1649C22⋊C4—1221no—
1650C22⋊C4—1221no—
1651C22⋊C4—1221no—
1652C22⋊C4—1221no—
1653C22⋊C4—1221no—
1654C22⋊C4—1221no—
1655C22⋊C4—1221no—
1656C22⋊C4—1221no—
1657C22⋊C4—1221no—
1658C22⋊C4—1221no—
1659C22⋊C4—1221no—
1660C22⋊C4—1221no—
1661C22⋊C4—1221no—
1662C22⋊C4—1221no—
1663C22⋊C4—1221no—
1664C22⋊C4—1221no—
1665C22⋊C4—1221no—
1666C22⋊C4—1221no—
1667C22⋊C4—1221no—
1668C22⋊C4—1221no—
1669C22⋊C4—1221no—
1670C22⋊C4—1221no—
1671C22⋊C4—1221no—
1672C22⋊C4—1221no—
1673C22⋊C4D4×D6111yescharacteristic
1674C22⋊C4D4×D6111yescharacteristic
1675C42—21no—
1676C42—611no—
1677C42—611no—
1678C42—611no—
1679C42—1221no—
1680C42—1221no—
1681C42—1221no—
1682C42—1221no—
1683C42—1221no—
1684C42—1221no—
1685C42C23×D6111yescharacteristic
1686C23—21no—
1687C23—21no—
1688C23—611no—
1689C23—611no—
1690C23—611no—
1691C23—1221no—
1692C23—1221no—
1693C23—1221no—
1694C23—4881no—
1695C23—4881no—
1696C23—4881no—
1697C23—4881no—
1698C23—4881no—
1699C23—4881no—
1700C23C2×D4×D6111yescharacteristic
1701C23C2×D4×D6111yescharacteristic
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—42no—
1706Q8—42no—
1707Q8—612no—
1708Q8—1224no—
1709Q8—1221no—
1710Q8—1221no—
1711Q8—1221no—
1712Q8—1221no—
1713Q8—1221no—
1714Q8—2441no—
1715Q8—2441no—
1716Q8—2442no—
1717Q8—2442no—
1718Q8—2442no—
1719Q8#1451982312yes—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—41no—
1725D4—42no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—1221no—
1730D4—1221no—
1731D4—1221no—
1732D4—1221no—
1733D4—1221no—
1734D4—1221no—
1735D4—4881no—
1736D4—4881no—
1737D4—4881no—
1738D4—4881no—
1739D4—4881no—
1740D4—4881no—
1741D4—4881no—
1742D4—4881no—
1743D4—4881no—
1744D4—4881no—
1745D4—4881no—
1746D4—4881no—
1747D4—4881no—
1748D4—4881no—
1749D4—4881no—
1750D4—4881no—
1751D4—2441no—
1752D4—2441no—
1753D4—2441no—
1754D4—2442no—
1755D4—2442no—
1756D4—2442no—
1757D4—2441no—
1758D4—2441no—
1759D4—2441no—
1760D4—2441no—
1761D4—2441no—
1762D4—2441no—
1763D4—2442no—
1764D4—2442no—
1765D4—2442no—
1766D4—2442no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—611no—
1783C2×C4—611no—
1784C2×C4—611no—
1785C2×C4—611no—
1786C2×C4—611no—
1787C2×C4—1224no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—1221no—
1799C2×C4—4881no—
1800C2×C4—4881no—
1801C2×C4—4881no—
1802C2×C4—4881no—
1803C2×C4—4881no—
1804C2×C4—2441no—
1805C2×C4—2441no—
1806C2×C4—2442no—
1807C2×C4—2442no—
1808C2×C4—2442no—
1809C2×C4—2442no—
1810C2×C4—2442no—
1811C2×C4—2442no—
1812C2×C4—2442no—
1813C2×C4—2442no—
1814C2×C4C2×D4×D6111yescharacteristic
1815C2×C4C2×D4×D6111yescharacteristic
1816C2×C4C2×D4×D6111yescharacteristic
1817C2×C4C2×D4×D6111yescharacteristic
1818C2×C4C24×D6111yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—1221no—
1824C8—1221no—
1825C8—1221no—
1826C8—1221no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—1221no—
1840C22—1221no—
1841C22—1221no—
1842C22—1221no—
1843C22—1221no—
1844C22—1221no—
1845C22—1221no—
1846C22—1221no—
1847C22—1221no—
1848C22—9762no—
1849C22—9762no—
1850C22—2441no—
1851C22—2441no—
1852C22—2441no—
1853C22—2441no—
1854C22—2441no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22C22×D4×D6111yescharacteristic
1860C4—21no—
1861C4—21no—
1862C4—21no—
1863C4—21no—
1864C4—22no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—1221no—
1871C4—1221no—
1872C4—1221no—
1873C4—1221no—
1874C4—1221no—
1875C4—1222no—
1876C4—2441no—
1877C4—2441no—
1878C4—2441no—
1879C4—2441no—
1880C4H(5,𝔽2)×D6111yescharacteristic
1881C4C2×#1451982311yescharacteristic
1882C2—41no—
1883C2—41no—
1884C2—81no—
1885C2—81no—
1886C2—4881no—
1887C2—4881no—
1888C2—4881no—
1889C2—2441no—
1890C2—2441no—
1891C2—2441no—
1892C2#2145944911yescharacteristic
1893C2#2146059511yescharacteristic
1894C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3308C2
socleC22×C61C23×D4
hypercenter#3308D61
hypocenterC61#61671
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. #21460192C2semidirect
2. #21459587C2semidirect
3. #21457988C2semidirect
4. #21457986C2semidirect
5. #21457884C2semidirect
6. #21457882C2semidirect
7. #21457828C2semidirect
8. #21457826C2semidirect
9. #21457804C2semidirect
10. #21457409C2semidirect
11. #21457405C2semidirect
12. #21457356C2semidirect
13. #21457352C2semidirect
14. #21457336C2semidirect
15. #21457332C2semidirect
16. #21457320C2semidirect
17. #21457316C2semidirect
18. #21456855C2semidirect
19. #21456815C2semidirect
20. #21456723C2semidirect
21. #21456719C2semidirect
22. #21456672C2semidirect
23. #21456664C2semidirect
24. #21455988C2semidirect
25. #21455943C2semidirect
26. #21455139C2semidirect
27. #21455136C2semidirect
28. #21455102C2semidirect
29. #21455100C2semidirect
30. #21454887C2semidirect
31. C61×#3308C2semidirect
32. C2×#14519825C22semidirect
33. C2×#14519824C22semidirect
34. C2×#14519810C22semidirect
35. C2×#14519808C22semidirect
38. C2×#14519799C22semidirect
39. C2×#14519797C22semidirect
49. #16840431C22semidirect
51. #16840430C22semidirect
52. Q8×C22⋊D61C22semidirect
54. #16840425C22semidirect
57. #16840421C22semidirect
70. #16840342C22semidirect
72. #16840341C22semidirect
78. #16840311C22semidirect
82. C4×Q8×D61C22semidirect
87. #16840129C22semidirect
88. #16840125C22semidirect
89. #16840124C22semidirect
90. #16840105C22semidirect
91. #16840101C22semidirect
92. #16840099C22semidirect
93. #16840097C22semidirect
94. #16840089C22semidirect
95. #16840085C22semidirect
97. #16840077C22semidirect
98. #16840077C22semidirect
99. #16840075C22semidirect
100. #16840068C22semidirect
101. #16840067C22semidirect
102. #16840054C22semidirect
103. #16840015C22semidirect
104. #16840013C22semidirect
107. #16840009C22semidirect
108. #16840007C22semidirect
110. #16840004C22semidirect
111. #16840002C22semidirect
115. #16839993C22semidirect
116. #16839991C22semidirect
117. #16839985C22semidirect
120. #16839981C22semidirect
122. #16839966C22semidirect
123. #16839966C22semidirect
126. #16839956C22semidirect
127. #16839956C22semidirect
128. #16839927C22semidirect
129. #16839927C22semidirect
130. #16839926C22semidirect
131. #16839925C22semidirect
132. #16839925C22semidirect
133. #16839922C22semidirect
134. #16839919C22semidirect
135. #16839919C22semidirect
136. #16839919C22semidirect
140. #16839910C22semidirect
141. #16839910C22semidirect
142. #16839909C22semidirect
143. #16839909C22semidirect
145. #16839908C22semidirect
146. #16839908C22semidirect
147. #16839907C22semidirect
150. #16839905C22semidirect
152. #16839903C22semidirect
155. #16839902C22semidirect
156. #16839902C22semidirect
157. #16839901C22semidirect
162. #16839870C22semidirect
163. #16839867C22semidirect
164. #16839865C22semidirect
165. #16839865C22semidirect
167. #16839861C22semidirect
168. #16839861C22semidirect
169. #16839836C22semidirect
171. #16839834C22semidirect
172. #16839833C22semidirect
174. #16839831C22semidirect
175. #16839830C22semidirect
176. #16839818C22semidirect
177. #16839817C22semidirect
178. #16839769C22semidirect
179. #16839769C22semidirect
180. #16839761C22semidirect
181. #16839757C22semidirect
182. #16839755C22semidirect
183. C2×#14519700C22semidirect
184. #16839730C22semidirect
185. #16839728C22semidirect
186. #16839727C22semidirect
187. #16839727C22semidirect
188. C61×#548C22semidirect
190. C61×#489C22semidirect
191. C61×#484C22semidirect
192. C61×#480C22semidirect
193. C61×#477C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C2×#103×C61C22semidirect
944. #3308D61semidirect
1007. #548C2×D61semidirect
1039. #489C2×D61semidirect
1044. #484C2×D61semidirect
1051. #480C2×D61semidirect
1055. #477C2×D61semidirect
1135. #435C2×D61semidirect
1141. #417C2×D61semidirect
1145. C2×#103C2×D61semidirect
1150. C61#61671semidirect

Maximal subgroups

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

subgroupindex
#214601922
#214595872
#214579882
#214579862
#214578842
#214578822
#214578282
#214578262
#214578042
#214574092
#214574052
#214573562
#214573522
#214573362
#214573322
#214573202
#214573162
#214568552
#214568152
#214567232
#214567192
#214566722
#214566642
#214559882
#214559432
#214551392
#214551362
#214551022
#214551002
#214548872
C61×#33082
#6167161