Finite Group Databasebeta

← #30550865

Subgroups — #30550865

Order 15616.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459483C211yesmaximal, characteristic
2#536×D61C211yesmaximal, characteristic, complemented
3#21456707C211yesmaximal, characteristic, complemented
4#21456705C211yesmaximal, characteristic, complemented
5#21456695C211yesmaximal, characteristic, complemented
6#21456693C211yesmaximal, characteristic, complemented
7#21456692C211yesmaximal, characteristic, complemented
8#21456689C211yesmaximal, characteristic, complemented
9#21456686C211yesmaximal, characteristic, complemented
10#21456650C211yesmaximal, characteristic, complemented
11#21456647C211yesmaximal, characteristic, complemented
12#21456624C211yesmaximal, characteristic, complemented
13#21456620C211yesmaximal, characteristic, complemented
14#21456601C211yesmaximal, characteristic, complemented
15#21456598C211yesmaximal, characteristic, complemented
16#21456575C211yesmaximal, characteristic, complemented
17#21456571C211yesmaximal, characteristic, complemented
18#21455787C211yesmaximal, characteristic, complemented
19#21455781C211yesmaximal, characteristic, complemented
20#21455758C211yesmaximal, characteristic, complemented
21#21455737C211yesmaximal, characteristic, complemented
22#21455509C211yesmaximal, characteristic, complemented
23#21455507C211yesmaximal, characteristic, complemented
24#21455456C211yesmaximal, characteristic, complemented
25#21455453C211yesmaximal, characteristic, complemented
26#21455093C211yesmaximal, characteristic, complemented
27#21455093C211yesmaximal, characteristic, complemented
28#21455054C211yesmaximal, characteristic, complemented
29#448×D61C211yesmaximal, characteristic, complemented
30#21454267C211yesmaximal, characteristic, complemented
31C61×#3201C211yesmaximal, characteristic, complemented
32C2×#14519823C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C22×Q8×D61C2211yescharacteristic, complemented
35C2×#14519809C2211yescharacteristic, complemented
36C2×#14519809C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic, complemented
38C2×SD16×D61C2211yescharacteristic, complemented
39C2×#14519785C2211yescharacteristic, complemented
40C2×#14519783C2211yescharacteristic, complemented
41#16840430—21no—
42#16840422—21no—
43#16840403—21no—
44#16840401—21no—
45#16840401—21no—
46#16840396—21no—
47#16840396—21no—
48#16840396—21no—
49#16840342C2211yescharacteristic
50#16840342C2211yescharacteristic
51#16840338C2211yescharacteristic, complemented
52#16840337—21no—
53#16840336C2211yescharacteristic, complemented
54#16840335C2211yescharacteristic
55#16840335C2211yescharacteristic
56#16840335C2211yescharacteristic, complemented
57#16840335C2211yescharacteristic, complemented
58#16840334—21no—
59#16840334—21no—
60#16840333C2211yescharacteristic, complemented
61#16840332—21no—
62#16840328C2211yescharacteristic
63#16840328C2211yescharacteristic
64#16840326C2211yescharacteristic
65C4⋊Q8×D61—21no—
66#124×D61—21no—
67#16840275C2211yescharacteristic
68#16840275C2211yescharacteristic
69#16840269C2211yescharacteristic
70#123×D61—21no—
71#123×D61—21no—
72C22⋊Q8×D61C2211yescharacteristic, complemented
73C22⋊Q8×D61C2211yescharacteristic, complemented
74C22⋊Q8×D61C2211yescharacteristic, complemented
75C22⋊Q8×D61C2211yescharacteristic, complemented
76C2×#14519752C2211yescharacteristic
77#121×D61C2211yescharacteristic
78#121×D61C2211yescharacteristic
79#16840243C2211yescharacteristic
80#117×D61C2211yescharacteristic, complemented
81#16840106C2211yescharacteristic, complemented
82#16840105C2211yescharacteristic, complemented
83#16840104C2211yescharacteristic, complemented
84#16840104C2211yescharacteristic, complemented
85#16840102C2211yescharacteristic, complemented
86#16840101C2211yescharacteristic, complemented
87#16840100C2211yescharacteristic, complemented
88#16840100C2211yescharacteristic, complemented
89#16840100C2211yescharacteristic, complemented
90#16840099C2211yescharacteristic, complemented
91#16840097C2211yescharacteristic, complemented
92#16840096C2211yescharacteristic, complemented
93#16840096C2211yescharacteristic, complemented
94#16840094C2211yescharacteristic, complemented
95#16840092C2211yescharacteristic, complemented
96#16840091C2211yescharacteristic, complemented
97#16840091C2211yescharacteristic, complemented
98#16840087C2211yescharacteristic, complemented
99#16840087C2211yescharacteristic, complemented
100#16840086C2211yescharacteristic, complemented
101#16840086C2211yescharacteristic, complemented
102#16840083C2211yescharacteristic, complemented
103#16840082C2211yescharacteristic, complemented
104#16840082C2211yescharacteristic, complemented
105#16840079C2211yescharacteristic, complemented
106#16840077C2211yescharacteristic, complemented
107#16840077C2211yescharacteristic, complemented
108#16840074C2211yescharacteristic, complemented
109#16840019C2211yescharacteristic, complemented
110#16840018C2211yescharacteristic, complemented
111#16840017C2211yescharacteristic, complemented
112#16840011C2211yescharacteristic, complemented
113#16840011C2211yescharacteristic, complemented
114#16840010C2211yescharacteristic, complemented
115#16840010C2211yescharacteristic, complemented
116#16840009C2211yescharacteristic, complemented
117#16840009C2211yescharacteristic, complemented
118#16840008C2211yescharacteristic, complemented
119#16840008C2211yescharacteristic, complemented
120#16840007C2211yescharacteristic, complemented
121#16840006C2211yescharacteristic, complemented
122#16840005C2211yescharacteristic, complemented
123#16840002C2211yescharacteristic, complemented
124#16840001C2211yescharacteristic, complemented
125#16840000C2211yescharacteristic, complemented
126#16839994C2211yescharacteristic, complemented
127#16839994C2211yescharacteristic, complemented
128#16839993C2211yescharacteristic, complemented
129#16839993C2211yescharacteristic, complemented
130#16839992C2211yescharacteristic, complemented
131#16839992C2211yescharacteristic, complemented
132#16839991C2211yescharacteristic, complemented
133#16839991C2211yescharacteristic, complemented
134#16839990C2211yescharacteristic, complemented
135#16839989C2211yescharacteristic, complemented
136#16839988C2211yescharacteristic, complemented
137#16839927C2211yescharacteristic, complemented
138#16839927C2211yescharacteristic, complemented
139#16839924C2211yescharacteristic, complemented
140#16839924C2211yescharacteristic, complemented
141#16839923C2211yescharacteristic, complemented
142#16839923C2211yescharacteristic, complemented
143#16839917C2211yescharacteristic, complemented
144#16839916C2211yescharacteristic, complemented
145#16839916C2211yescharacteristic, complemented
146#16839915C2211yescharacteristic, complemented
147#16839915C2211yescharacteristic, complemented
148#16839914C2211yescharacteristic, complemented
149#16839914C2211yescharacteristic, complemented
150#16839912C2211yescharacteristic, complemented
151#16839912C2211yescharacteristic, complemented
152#16839911C2211yescharacteristic, complemented
153#16839911C2211yescharacteristic, complemented
154#16839903C2211yescharacteristic, complemented
155#16839903C2211yescharacteristic, complemented
156#16839902C2211yescharacteristic, complemented
157#16839902C2211yescharacteristic, complemented
158#16839902C2211yescharacteristic, complemented
159#16839902C2211yescharacteristic, complemented
160#16839901C2211yescharacteristic, complemented
161#16839901C2211yescharacteristic, complemented
162#16839900C2211yescharacteristic, complemented
163#16839899C2211yescharacteristic, complemented
164#16839899C2211yescharacteristic, complemented
165#16839803C2211yescharacteristic, complemented
166#16839801C2211yescharacteristic, complemented
167#16839799C2211yescharacteristic, complemented
168#16839797C2211yescharacteristic, complemented
169#16839769C2211yescharacteristic, complemented
170#16839769C2211yescharacteristic, complemented
171#16839765C2211yescharacteristic, complemented
172#16839765C2211yescharacteristic, complemented
173#16839757C2211yescharacteristic, complemented
174#16839757C2211yescharacteristic, complemented
175#103×D61C2211yescharacteristic, complemented
176#103×D61C2211yescharacteristic, complemented
177#16839729C2211yescharacteristic, complemented
178#16839727C2211yescharacteristic
179#16839727C2211yescharacteristic
180#16839727C2211yescharacteristic, complemented
181#16839727C2211yescharacteristic, complemented
182#16839725C2211yescharacteristic, complemented
183#16839724C2211yescharacteristic, complemented
184#16839724C2211yescharacteristic, complemented
185C2×#14519689C2211yescharacteristic, complemented
186C22⋊C8×D61C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic, complemented
188C61×#537C2211yescharacteristic
189C61×#536C2211yescharacteristic, complemented
190C61×#485C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#483C2211yescharacteristic, complemented
193C61×#482C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#467C2211yescharacteristic, complemented
197C61×#465C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic, complemented
200C61×#451C2211yescharacteristic, complemented
201C61×#448C2211yescharacteristic, complemented
202C61×#408C2211yescharacteristic, complemented
203#14519823—42no—
204#14519823—42no—
205C2×#11758226D411yescharacteristic
206C2×#11758226C2311yescharacteristic
207C2×#11758226C2311yescharacteristic
208C2×#11758222—21no—
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758222C2311yescharacteristic
212C2×#11758224D411yescharacteristic
213C2×#11758224D411yescharacteristic
214C2×#11758224D411yescharacteristic
215#41×D61—42no—
216#41×D61—42no—
217C22×Dic122—21no—
218C22×Dic122C2311yescharacteristic
219C2×Q8×D61—21no—
220C2×Q8×D61—21no—
221C2×Q8×D61—42no—
222C2×Q8×D61—42no—
223C2×Q8×D61D411yescharacteristic
224C2×Q8×D61C2311yescharacteristic
225C2×Q8×D61C2311yescharacteristic
226C2×Q8×D61C2311yescharacteristic
227C2×Q8×D61C2311yescharacteristic
228C22×D244—21no—
229C22×D244—21no—
230C22×D244C2311yescharacteristic
231C2×D4×D61—21no—
232C2×D4×D61—21no—
233C2×D4×D61—21no—
234C2×D4×D61—21no—
235C2×D4×D61D411yescharacteristic
236C2×D4×D61D411yescharacteristic
237C2×D4×D61D411yescharacteristic
238C2×D4×D61C2311yescharacteristic
239C2×D4×D61C2311yescharacteristic
240C22×C4×D61—21no—
241C22×C4×D61C2311yescharacteristic
242C22×C4×D61C2311yescharacteristic
243C22×C4×D61C2311yescharacteristic
244#14519809—42no—
245#14519809—42no—
246C2×#11758202C2311yescharacteristic
247C2×#11758202C2311yescharacteristic
248C2×#11758190C2311yescharacteristic
249C2×#11758190C2311yescharacteristic
250C2×#11758190C2311yescharacteristic
251C2×#11758190C2311yescharacteristic
252C2×#11758200C2311yescharacteristic
253C2×#11758200C2311yescharacteristic
254C2×#11758201C2311yescharacteristic
255C2×#11758201C2311yescharacteristic
256C2×#11758201C2311yescharacteristic
257C2×#11758201C2311yescharacteristic
258SD16×D61—42no—
259SD16×D61—42no—
260#14519785—42no—
261#14519783—42no—
262C2×#11758194C2311yescharacteristic
263C2×#11758189C2311yescharacteristic
264C2×#11758189C2311yescharacteristic
265C2×#11758189C2311yescharacteristic
266C2×#11758189C2311yescharacteristic
267C22×#92418C2311yescharacteristic
268C2×C8×D61C2311yescharacteristic
269C2×C8×D61C2311yescharacteristic
270C2×C8×D61C2311yescharacteristic
271C2×C8×D61C2311yescharacteristic
272#14519777—21no—
273#14519776—21no—
274#14519776—21no—
275#14519776—21no—
276#14519776—21no—
277#14519775—21no—
278#14519775—21no—
279#14519773—21no—
280#14519773—21no—
281#14519773—21no—
282#14519766—21no—
283#14519766—21no—
284#14519765—21no—
285#14519764—21no—
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519763—21no—
290#14519763—21no—
291#14519763—21no—
292#14519762—21no—
293#14519762—21no—
294#14519762—21no—
295#14519762—21no—
296#14519762—21no—
297#14519762—21no—
298#14519761—21no—
299#14519761—21no—
300#14519760—21no—
301#14519760—21no—
302#14519759—21no—
303#14519759—21no—
304#14519759—21no—
305#14519759—21no—
306#14519758—21no—
307#14519758—21no—
308#14519758—21no—
309#14519757C2311yescharacteristic
310#14519757C2311yescharacteristic
311#14519757C2311yescharacteristic
312#14519757C2311yescharacteristic
313#14519756C2311yescharacteristic
314#14519756C2311yescharacteristic
315#14519756C2311yescharacteristic
316#14519756C2311yescharacteristic
317#14519755—21no—
318#14519755—21no—
319#14519755—21no—
320#14519755—21no—
321#14519755—21no—
322#14519755—21no—
323#14519754—21no—
324#14519754—21no—
325#14519754—21no—
326#14519754—21no—
327#14519753C2311yescharacteristic
328#14519753C2311yescharacteristic
329#14519753C2311yescharacteristic
330#14519753C2311yescharacteristic
331#14519753C2311yescharacteristic
332#14519753C2311yescharacteristic
333#14519752—21no—
334#14519752—21no—
335#14519752—21no—
336#14519752—21no—
337#14519752C2311yescharacteristic
338#14519752C2311yescharacteristic
339#14519752C2311yescharacteristic
340#14519752C2311yescharacteristic
341#14519751C2311yescharacteristic
342#14519751C2311yescharacteristic
343#14519751C2311yescharacteristic
344#14519751C2311yescharacteristic
345#14519750—21no—
346#14519750—21no—
347#14519750—21no—
348#14519750—21no—
349#14519750—21no—
350#14519750—21no—
351#14519749—21no—
352#14519749—21no—
353#14519748C2311yescharacteristic
354#14519748C2311yescharacteristic
355#14519747—21no—
356#14519747—21no—
357#14519747—21no—
358#14519747—21no—
359#14519745—21no—
360#14519745—21no—
361#14519745—21no—
362#14519745—21no—
363#14519745—21no—
364#14519742—21no—
365#14519739—21no—
366#14519739—21no—
367#14519739—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61—21no—
370C4×C22⋊D61—21no—
371C4×C22⋊D61—21no—
372#14519737—21no—
373#14519737—21no—
374#14519736C2311yescharacteristic
375#14519736C2311yescharacteristic
376#14519735C2311yescharacteristic
377#14519735C2311yescharacteristic
378#14519735C2311yescharacteristic
379#14519735C2311yescharacteristic
380#14519734—21no—
381#14519733—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61—21no—
385C4⋊C4×D61—21no—
386C4⋊C4×D61C2311yescharacteristic
387C4⋊C4×D61C2311yescharacteristic
388C4⋊C4×D61C2311yescharacteristic
389C4⋊C4×D61C2311yescharacteristic
390C2×#11758198—21no—
391C22⋊C4×D61—21no—
392C22⋊C4×D61—21no—
393C22⋊C4×D61—21no—
394C22⋊C4×D61—21no—
395C22⋊C4×D61—21no—
396C22⋊C4×D61—21no—
397C22⋊C4×D61—21no—
398C42×D61—21no—
399#14519711C2311yescharacteristic
400#14519711C2311yescharacteristic
401#14519710C2311yescharacteristic
402#14519710C2311yescharacteristic
403#14519710C2311yescharacteristic
404#14519710C2311yescharacteristic
405#14519709C2311yescharacteristic
406#14519709C2311yescharacteristic
407#14519708C2311yescharacteristic
408#14519708C2311yescharacteristic
409#14519708C2311yescharacteristic
410#14519708C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519699C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437C22⋊#92418C2311yescharacteristic
438C22⋊#92418C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519689C2311yescharacteristic
443#14519689C2311yescharacteristic
444#14519689C2311yescharacteristic
445#14519689C2311yescharacteristic
446#14519689C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C2×#41×C61C2311yescharacteristic
449C22×Q8×C61C2311yescharacteristic
450C2×Q16×C61C2311yescharacteristic
451C2×Q16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic
453C2×SD16×C61C2311yescharacteristic
454C2×M16×C61C2311yescharacteristic
455C22×C8×C61C2311yescharacteristic
456C4⋊Q8×C61—21no—
457#124×C61—21no—
458#123×C61—21no—
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61C2311yescharacteristic
462C22⋊Q8×C61C2311yescharacteristic
463C22⋊Q8×C61C2311yescharacteristic
464C22⋊Q8×C61C2311yescharacteristic
465C22⋊Q8×C61C2311yescharacteristic
466C22⋊Q8×C61C2311yescharacteristic
467#121×C61—21no—
468#121×C61—21no—
469#121×C61—21no—
470#121×C61C2311yescharacteristic
471#121×C61C2311yescharacteristic
472#117×C61C2311yescharacteristic
473C2×C4⋊C4×C61C2311yescharacteristic
474#107×C61C2311yescharacteristic
475#107×C61C2311yescharacteristic
476#106×C61C2311yescharacteristic
477#106×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#103×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489C22⋊C8×C61C2311yescharacteristic
490C23×D61—21no—
491C23×D61—21no—
492C23×D61—21no—
493C23×D61C2×D411yescharacteristic
494C23×D61C2×D411yescharacteristic
495C23×D61C2×D411yescharacteristic
496#41×C61—41no—
497#41×C61—41no—
498#41×C61—41no—
499#41×C61—41no—
500C2×Q8×C61—21no—
501C2×Q8×C61—41no—
502C2×Q8×C61—41no—
503C2×Q8×C61C2×D411yescharacteristic
504C2×Q8×C61C2411yescharacteristic
505C2×Q8×C61C2411yescharacteristic
506C2×Q8×C61C2411yescharacteristic
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61C2×D411yescharacteristic
511C2×D4×C61C2×D411yescharacteristic
512C2×D4×C61C2×D411yescharacteristic
513C2×D4×C61C2411yescharacteristic
514C22×C4×C61—21no—
515C22×C4×C61—21no—
516C22×C4×C61—21no—
517C22×C4×C61C2411yescharacteristic
518C22×C4×C61C2411yescharacteristic
519C22×C4×C61C2411yescharacteristic
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⋊D61C2×D411yescharacteristic
529C2×C22⋊D61C2×D411yescharacteristic
530C2×C22⋊D61C2×D411yescharacteristic
531C2×C22⋊D61C2×D411yescharacteristic
532C2×C22⋊D61C2×D411yescharacteristic
533C2×C22⋊D61C2×D411yescharacteristic
534C22×Dic61—21no—
535C22×Dic61C2×D411yescharacteristic
536C22×Dic61C2×D411yescharacteristic
537C22×Dic61C2×D411yescharacteristic
538#11758226—22no—
539#11758226—22no—
540#11758226—42no—
541#11758226—41no—
542#11758226—41no—
543Q8×D61—22no—
544Q8×D61—22no—
545Q8×D61—22no—
546Q8×D61—22no—
547Q8×D61—42no—
548Q8×D61—41no—
549Q8×D61—41no—
550Q8×D61—41no—
551Q8×D61—41no—
552Q8×D61—44no—
553Q8×D61—44no—
554#11758224—42no—
555#11758224—42no—
556#11758224—42no—
557D4×D61—22no—
558D4×D61—22no—
559D4×D61—41no—
560D4×D61—41no—
561D4×D61—42no—
562D4×D61—42no—
563D4×D61—42no—
564D4×D61—44no—
565D4×D61—44no—
566D4×D61—82no—
567D4×D61—82no—
568#11758222—22no—
569#11758222—22no—
570#11758222—22no—
571#11758222—22no—
572#11758222—44no—
573#11758222—41no—
574#11758222—41no—
575C2×D244—21no—
576C2×D244—21no—
577C2×D244—21no—
578C2×D244—21no—
579C2×D244—21no—
580C2×D244—21no—
581C2×D244—21no—
582C2×D244—41no—
583C2×D244—41no—
584C2×D244—44no—
585C2×D244—82no—
586C2×D244C2×D411yescharacteristic
587C2×D244C2×D411yescharacteristic
588C2×D244C2×D411yescharacteristic
589C2×D244C2411yescharacteristic
590C2×D244C2411yescharacteristic
591C2×C4×D61—22no—
592C2×C4×D61—22no—
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×D61—21no—
602C2×C4×D61—21no—
603C2×C4×D61—41no—
604C2×C4×D61—41no—
605C2×C4×D61—41no—
606C2×C4×D61—41no—
607C2×C4×D61—44no—
608C2×C4×D61C2×D411yescharacteristic
609C2×C4×D61C2×D411yescharacteristic
610C2×C4×D61C2×D411yescharacteristic
611C2×C4×D61C2×D411yescharacteristic
612C2×C4×D61C2×D411yescharacteristic
613C2×C4×D61C2×D411yescharacteristic
614C2×C4×D61C2411yescharacteristic
615C2×C4×D61C2411yescharacteristic
616C2×C4×D61C2411yescharacteristic
617C2×C4×D61C2411yescharacteristic
618C2×Dic122—21no—
619C2×Dic122—21no—
620C2×Dic122—21no—
621C2×Dic122—21no—
622C2×Dic122—21no—
623C2×Dic122—41no—
624C2×Dic122—41no—
625C2×Dic122—44no—
626C2×Dic122C2×D411yescharacteristic
627C2×Dic122C2×D411yescharacteristic
628C2×Dic122C2×D411yescharacteristic
629C2×Dic122C2411yescharacteristic
630C2×Dic122C2411yescharacteristic
631Q16×C61—41no—
632Q16×C61—41no—
633SD16×C61—41no—
634SD16×C61—41no—
635M16×C61—41no—
636C2×C8×C61—41no—
637C2×C8×C61C2411yescharacteristic
638C2×C8×C61C2411yescharacteristic
639C2×C8×C61C2411yescharacteristic
640C2×C8×C61C2411yescharacteristic
641C4⋊C4×C61—21no—
642C4⋊C4×C61—21no—
643C4⋊C4×C61—21no—
644C4⋊C4×C61—21no—
645C4⋊C4×C61—21no—
646C4⋊C4×C61—21no—
647C4⋊C4×C61—21no—
648C4⋊C4×C61C2411yescharacteristic
649C4⋊C4×C61C2411yescharacteristic
650C4⋊C4×C61C2411yescharacteristic
651C4⋊C4×C61C2411yescharacteristic
652C22⋊C4×C61—21no—
653C22⋊C4×C61—21no—
654C22⋊C4×C61—21no—
655C22⋊C4×C61—21no—
656C22⋊C4×C61—21no—
657C22⋊C4×C61—21no—
658C22⋊C4×C61—21no—
659C22⋊C4×C61—21no—
660C22⋊C4×C61—21no—
661C42×C61—21no—
662C22⋊Dic61—21no—
663C22⋊Dic61—21no—
664C22⋊Dic61—21no—
665C22⋊Dic61—21no—
666C22⋊Dic61—21no—
667C22⋊Dic61—21no—
668C22⋊Dic61—21no—
669C22⋊Dic61—21no—
670#11758202—41no—
671#11758202—41no—
672#11758201—41no—
673#11758201—41no—
674#11758201—41no—
675#11758201—41no—
676#11758200—41no—
677#11758200—41no—
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#11758198—21no—
687#11758198—21no—
688#11758198—21no—
689#11758198—21no—
690#11758198—21no—
691#11758198—21no—
692#11758198—21no—
693#11758198—21no—
694#11758198—21no—
695#11758198—21no—
696#11758198—21no—
697#11758198—21no—
698#11758198—21no—
699#11758198—21no—
700C4⋊Dic61—21no—
701C4⋊Dic61—21no—
702C4⋊Dic61—21no—
703C4⋊Dic61—21no—
704C4⋊Dic61C2411yescharacteristic
705C4⋊Dic61C2411yescharacteristic
706C4⋊Dic61C2411yescharacteristic
707C4⋊Dic61C2411yescharacteristic
708#11758196—21no—
709#11758196—21no—
710#11758196—21no—
711#11758196—21no—
712#11758196—21no—
713#11758196—21no—
714#11758196—21no—
715#11758196—21no—
716#11758196—21no—
717#11758196—21no—
718#11758196—21no—
719#11758196—21no—
720#11758196—21no—
721#11758196—21no—
722C4×Dic61—21no—
723C4×Dic61—21no—
724C4×Dic61—21no—
725C4×Dic61—21no—
726C4×Dic61—21no—
727C4×Dic61—21no—
728#11758194—41no—
729C2×#92418—41no—
730C2×#92418C2411yescharacteristic
731C2×#92418C2411yescharacteristic
732C2×#92418C2411yescharacteristic
733C2×#92418C2411yescharacteristic
734#11758190—41no—
735#11758190—41no—
736#11758190—41no—
737#11758190—41no—
738#11758189—22no—
739#11758189—22no—
740#11758189—41no—
741#11758189—41no—
742C8×D61—22no—
743C8×D61—22no—
744C8×D61—41no—
745C8×D61—41no—
746C23×C61—21no—
747C23×C61C22×D411yescharacteristic
748C23×C61C22×D411yescharacteristic
749C23×C61C22×D411yescharacteristic
750C22×D61—22no—
751C22×D61—22no—
752C22×D61—22no—
753C22×D61—22no—
754C22×D61—21no—
755C22×D61—21no—
756C22×D61—41no—
757C22×D61—41no—
758C22×D61—41no—
759C22×D61—41no—
760C22×D61—41no—
761C22×D61—42no—
762C22×D61—42no—
763C22×D61—42no—
764C22×D61—81no—
765C22×D61—81no—
766C22×D61—81no—
767C22×D61—81no—
768C22×D61—81no—
769C22×D61—81no—
770C22×D61C22×D411yescharacteristic
771C22×D61C22×D411yescharacteristic
772C22×D61C22×D411yescharacteristic
773C22×D61C22×D411yescharacteristic
774Q8×C61—21no—
775Q8×C61—21no—
776Q8×C61—21no—
777Q8×C61—21no—
778Q8×C61—21no—
779Q8×C61—21no—
780Q8×C61—41no—
781Q8×C61—42no—
782D4×C61—21no—
783D4×C61—21no—
784D4×C61—41no—
785D4×C61—41no—
786D4×C61—41no—
787D4×C61—42no—
788D4×C61—81no—
789D4×C61—81no—
790C2×C4×C61—21no—
791C2×C4×C61—21no—
792C2×C4×C61—21no—
793C2×C4×C61—21no—
794C2×C4×C61—21no—
795C2×C4×C61—21no—
796C2×C4×C61—21no—
797C2×C4×C61—21no—
798C2×C4×C61—21no—
799C2×C4×C61—21no—
800C2×C4×C61—21no—
801C2×C4×C61—21no—
802C2×C4×C61—21no—
803C2×C4×C61—42no—
804C2×C4×C61—42no—
805C2×C4×C61—81no—
806C2×C4×C61C22×D411yescharacteristic
807C2×C4×C61C22×D411yescharacteristic
808C2×C4×C61C22×D411yescharacteristic
809C2×C4×C61C2511yescharacteristic
810C22⋊D61—22no—
811C22⋊D61—22no—
812C22⋊D61—22no—
813C22⋊D61—22no—
814C22⋊D61—41no—
815C22⋊D61—41no—
816C22⋊D61—42no—
817C22⋊D61—42no—
818C22⋊D61—42no—
819C22⋊D61—81no—
820C22⋊D61—81no—
821C22⋊D61—81no—
822C22⋊D61—81no—
823C22⋊D61—81no—
824C2×Dic61—22no—
825C2×Dic61—21no—
826C2×Dic61—21no—
827C2×Dic61—21no—
828C2×Dic61—21no—
829C2×Dic61—21no—
830C2×Dic61—21no—
831C2×Dic61—41no—
832C2×Dic61—41no—
833C2×Dic61—42no—
834C2×Dic61C22×D411yescharacteristic
835C2×Dic61C22×D411yescharacteristic
836C2×Dic61C22×D411yescharacteristic
837C2×Dic61C22×D411yescharacteristic
838D244—22no—
839D244—22no—
840D244—21no—
841D244—21no—
842D244—21no—
843D244—21no—
844D244—41no—
845D244—42no—
846D244—42no—
847D244—42no—
848D244—42no—
849D244—42no—
850D244—81no—
851D244—81no—
852C4×D61—22no—
853C4×D61—21no—
854C4×D61—21no—
855C4×D61—21no—
856C4×D61—21no—
857C4×D61—21no—
858C4×D61—21no—
859C4×D61—22no—
860C4×D61—41no—
861C4×D61—41no—
862C4×D61—41no—
863C4×D61—41no—
864C4×D61—42no—
865C4×D61—42no—
866C4×D61—42no—
867C4×D61—42no—
868C4×D61—42no—
869C4×D61—42no—
870C4×D61—42no—
871C4×D61—42no—
872C4×D61—81no—
873C4×D61—81no—
874C4×D61H(5,𝔽2)12yes—
875C4×D61H(5,𝔽2)12yes—
876Dic122—22no—
877Dic122—22no—
878Dic122—21no—
879Dic122—21no—
880Dic122—21no—
881Dic122—21no—
882Dic122—41no—
883Dic122—42no—
884Dic122—42no—
885Dic122—42no—
886Dic122—42no—
887Dic122—42no—
888C8×C61—21no—
889C8×C61—21no—
890C8×C61—21no—
891C8×C61—21no—
892#92418—21no—
893#92418—21no—
894#92418—21no—
895#92418—21no—
896#60758—611nomaximal, Sylow
897C22×C61—21no—
898C22×C61—21no—
899C22×C61—21no—
900C22×C61—21no—
901C22×C61—21no—
902C22×C61—21no—
903C22×C61—21no—
904C22×C61—21no—
905C22×C61—21no—
906C22×C61—41no—
907C22×C61—41no—
908C22×C61—41no—
909C22×C61C23×D411yescharacteristic
910C2×D61—21no—
911C2×D61—21no—
912C2×D61—21no—
913C2×D61—21no—
914C2×D61—21no—
915C2×D61—21no—
916C2×D61—21no—
917C2×D61—21no—
918C2×D61—21no—
919C2×D61—21no—
920C2×D61—44no—
921C2×D61—41no—
922C2×D61—41no—
923C2×D61—41no—
924C2×D61—41no—
925C2×D61—41no—
926C2×D61—41no—
927C2×D61—82no—
928C2×D61—82no—
929C2×D61—162no—
930C2×D61—162no—
931C2×D61—162no—
932C2×D61#53412yes—
933C2×D61#57712yes—
934C4×C61—21no—
935C4×C61—21no—
936C4×C61—21no—
937C4×C61—41no—
938C4×C61—41no—
939C4×C61—41no—
940C4×C61—41no—
941C4×C61—41no—
942C4×C61—41no—
943C4×C61—41no—
944C4×C61C2×H(5,𝔽2)11yescharacteristic
945C4×C61C2×H(5,𝔽2)11yescharacteristic
946Dic61—21no—
947Dic61—21no—
948Dic61—21no—
949Dic61—41no—
950Dic61—41no—
951Dic61—41no—
952Dic61—41no—
953Dic61—41no—
954Dic61—41no—
955Dic61#53412yes—
956#3488—611no—
957C2×#536—611no—
958#3201—611no—
959#3201—611no—
960#3201—611no—
961#3201D6111yescharacteristic, complemented
962#3200—611no—
963#3200—611no—
964#3200—611no—
965#3200—611no—
966#3196—611no—
967#3196—611no—
968#3193—611no—
969#3193—611no—
970#3190—611no—
971#3190—611no—
972#3187—611no—
973#3187—611no—
974#3097—611no—
975#3097—611no—
976#3094—611no—
977#3091—611no—
978#3063—611no—
979#3063—611no—
980#3057—611no—
981#3057—611no—
982#3009—611no—
983#3009—611no—
984#3004—611no—
985C2×#448—611no—
986#2880—611no—
987C2×C61—41no—
988C2×C61—41no—
989C2×C61—41no—
990C2×C61—81no—
991C2×C61C2×#53411yescharacteristic
992C2×C61C2×#57711yescharacteristic
993C2×C61#358611yescharacteristic
994D61—22no—
995D61—22no—
996D61—41no—
997D61—41no—
998D61—81no—
999D61—81no—
1000C2×H(5,𝔽2)—611no—
1001C22×#41—611no—
1002C23×Q8—611no—
1003C2×#137—611no—
1004C2×#137—611no—
1005C22×SD16—611no—
1006C22×SD16—611no—
1007C2×#131—611no—
1008C2×#131—611no—
1009#550—1221no—
1010#548—1221no—
1011#546—1221no—
1012#546—1221no—
1013#546—1221no—
1014D42—1221no—
1015D42—1221no—
1016D42—1221no—
1017#537—611no—
1018#537—611no—
1019#537C2×D6111yescharacteristic
1020#536—611no—
1021#536—611no—
1022#536—611no—
1023#536—611no—
1024#536—611no—
1025#536—611no—
1026#536—611no—
1027#536—1221no—
1028#536—1221no—
1029#536—1221no—
1030#536—1221no—
1031#536C2×D6111yescharacteristic, complemented
1032#535—611no—
1033#535—611no—
1034#535—611no—
1035C2×C4⋊Q8—1221no—
1036C2×#124—1221no—
1037#525—611no—
1038#525—611no—
1039#525—611no—
1040C2×#123—1221no—
1041C2×#123—1221no—
1042C2×C22⋊Q8—611no—
1043C2×C22⋊Q8—611no—
1044C2×C22⋊Q8—611no—
1045C2×C22⋊Q8—611no—
1046C2×#121—611no—
1047C2×#121—611no—
1048C2×#121—611no—
1049#520—611no—
1050C2×#117—611no—
1051#485—611no—
1052#485—611no—
1053#485—611no—
1054#485—611no—
1055#485—611no—
1056#485—611no—
1057#485—611no—
1058#485—611no—
1059#485—611no—
1060#485C2×D6111yescharacteristic, complemented
1061#484—611no—
1062#484—611no—
1063#484—611no—
1064#484—611no—
1065#484C2×D6111yescharacteristic, complemented
1066#483—611no—
1067#483—611no—
1068#483—611no—
1069#483—611no—
1070#483C2×D6111yescharacteristic, complemented
1071#482—611no—
1072#482—611no—
1073#482—611no—
1074#482—611no—
1075#482—611no—
1076#482C2×D6111yescharacteristic, complemented
1077#481—611no—
1078#481—611no—
1079#481—611no—
1080#480—611no—
1081#480—611no—
1082#480—611no—
1083#470—611no—
1084#470—611no—
1085#470—611no—
1086#470C2×D6111yescharacteristic, complemented
1087#468—611no—
1088#468—611no—
1089#468—611no—
1090#468—611no—
1091#468—611no—
1092#468—611no—
1093#468—611no—
1094#468—611no—
1095#468—611no—
1096#468—611no—
1097#468—611no—
1098#468C2×D6111yescharacteristic, complemented
1099#467—611no—
1100#467—611no—
1101#467—611no—
1102#467C2×D6111yescharacteristic, complemented
1103#465—611no—
1104#465—611no—
1105#465—611no—
1106#465—611no—
1107#465—611no—
1108#465—611no—
1109#465—611no—
1110#465—611no—
1111#465—611no—
1112#465—611no—
1113#465—611no—
1114#465C2×D6111yescharacteristic, complemented
1115#452—611no—
1116#452—611no—
1117#452—611no—
1118#452—611no—
1119#452—611no—
1120#452—611no—
1121#452C2×D6111yescharacteristic, complemented
1122#452C2×D6111yescharacteristic, complemented
1123#451—611no—
1124#451—611no—
1125#451—611no—
1126#451C2×D6111yescharacteristic, complemented
1127#450—611no—
1128#450—611no—
1129#450—611no—
1130#450—611no—
1131#450—611no—
1132#450—611no—
1133#450—611no—
1134#450—611no—
1135#448—611no—
1136#448—611no—
1137#448—611no—
1138#448—611no—
1139#448—611no—
1140#448—611no—
1141#448—611no—
1142#448—611no—
1143#448—611no—
1144#448—611no—
1145#448—611no—
1146#448C2×D6111yescharacteristic, complemented
1147#428—611no—
1148#428—611no—
1149#427—611no—
1150#427—611no—
1151#419—611no—
1152#419—611no—
1153#418—611no—
1154#418—611no—
1155#416—611no—
1156#416—611no—
1157C2×#103—611no—
1158C2×#103—611no—
1159#408—611no—
1160#408—611no—
1161#408—611no—
1162#408—611no—
1163#408—611no—
1164#408C2×D6111yescharacteristic, complemented
1165#407—611no—
1166#407—611no—
1167#407—611no—
1168C2×C22⋊C8—611no—
1169C2×C22⋊C8—611no—
1170C2×C22⋊C8—611no—
1171C61#6075811yescharacteristic, complemented, Sylow
1172H(5,𝔽2)—2442no—
1173H(5,𝔽2)—2442no—
1174C2×#41—611no—
1175C2×#41—611no—
1176C2×#41—611no—
1177C2×#41—611no—
1178C2×#41—611no—
1179C2×#41—611no—
1180C2×#41—611no—
1181C2×#41—611no—
1182C2×#41—611no—
1183C2×#41—1221no—
1184C2×#41—2442no—
1185C2×#41—2442no—
1186C2×#41C22×D6111yescharacteristic
1187C2×#41C22×D6111yescharacteristic
1188C22×Q8—611no—
1189C22×Q8—611no—
1190C22×Q8—611no—
1191C22×Q8—611no—
1192C22×Q8—611no—
1193C22×Q8—611no—
1194C22×Q8—1221no—
1195C22×Q8—1221no—
1196C22×Q8—1221no—
1197C22×Q8—2442no—
1198C22×Q8—2442no—
1199C22×Q8C22×D6111yescharacteristic
1200C22×D4—611no—
1201C22×D4—611no—
1202C22×D4—611no—
1203C22×D4—611no—
1204C22×D4—611no—
1205C22×D4—611no—
1206C22×D4—1221no—
1207C22×D4—1221no—
1208C22×D4—1221no—
1209C22×D4—1221no—
1210C22×D4—1221no—
1211C22×D4—1221no—
1212C23×C4—611no—
1213C23×C4—611no—
1214C23×C4—611no—
1215C23×C4—1221no—
1216#137—2442no—
1217#137—2442no—
1218C2×Q16—611no—
1219C2×Q16—611no—
1220C2×Q16C22×D6111yescharacteristic
1221C2×Q16C22×D6111yescharacteristic
1222C2×SD16—611no—
1223C2×SD16—611no—
1224C2×SD16—611no—
1225C2×SD16—611no—
1226C2×SD16—611no—
1227C2×SD16—611no—
1228C2×SD16—611no—
1229C2×SD16—611no—
1230C2×SD16—611no—
1231C2×SD16—611no—
1232C2×SD16—2442no—
1233C2×SD16—2442no—
1234C2×SD16C22×D6111yescharacteristic
1235C2×SD16C22×D6111yescharacteristic
1236#131—2442no—
1237#131—2442no—
1238C2×M16—611no—
1239C2×M16—611no—
1240C2×M16—611no—
1241C2×M16—611no—
1242C2×M16—611no—
1243C2×M16C22×D6111yescharacteristic
1244C22×C8—611no—
1245C22×C8—611no—
1246C22×C8—611no—
1247C22×C8—611no—
1248C22×C8—611no—
1249C22×C8C22×D6111yescharacteristic
1250C4⋊Q8—21no—
1251C4⋊Q8—1221no—
1252C4⋊Q8—1221no—
1253C4⋊Q8—1221no—
1254C4⋊Q8—1221no—
1255C4⋊Q8—1221no—
1256C4⋊Q8—1221no—
1257C4⋊Q8—1221no—
1258#127—1221no—
1259#127—1221no—
1260#127—1221no—
1261#124—21no—
1262#124—1221no—
1263#124—1221no—
1264#124—1221no—
1265#124—1221no—
1266#124—1221no—
1267#124—1221no—
1268#124—1221no—
1269#124—1221no—
1270#124—1221no—
1271#124—1221no—
1272#123—21no—
1273#123—21no—
1274#123—1221no—
1275#123—1221no—
1276#123—1221no—
1277#123—1221no—
1278#123—1221no—
1279#123—1221no—
1280#123—1221no—
1281#123—1221no—
1282#123—1221no—
1283#123—1221no—
1284#123—1221no—
1285#123—1221no—
1286#123—1221no—
1287#123—1221no—
1288#123—1221no—
1289#123—1221no—
1290#123—1221no—
1291C22⋊Q8—21no—
1292C22⋊Q8—611no—
1293C22⋊Q8—611no—
1294C22⋊Q8—611no—
1295C22⋊Q8—611no—
1296C22⋊Q8—611no—
1297C22⋊Q8—611no—
1298C22⋊Q8—611no—
1299C22⋊Q8—611no—
1300C22⋊Q8—611no—
1301C22⋊Q8—611no—
1302C22⋊Q8—611no—
1303C22⋊Q8—611no—
1304C22⋊Q8—611no—
1305C22⋊Q8—611no—
1306C22⋊Q8—1221no—
1307C22⋊Q8—1221no—
1308C22⋊Q8—1221no—
1309C22⋊Q8—1221no—
1310C22⋊Q8—1221no—
1311C22⋊Q8—1221no—
1312C22⋊Q8—1221no—
1313C22⋊Q8—1221no—
1314C22⋊Q8—1221no—
1315C22⋊Q8—1221no—
1316C22⋊Q8C22×D6111yescharacteristic
1317C22⋊Q8C22×D6111yescharacteristic
1318C22⋊Q8C22×D6111yescharacteristic
1319C22⋊Q8C22×D6111yescharacteristic
1320C22⋊Q8C22×D6111yescharacteristic
1321C22⋊Q8C22×D6111yescharacteristic
1322#121—21no—
1323#121—21no—
1324#121—21no—
1325#121—611no—
1326#121—611no—
1327#121—611no—
1328#121—611no—
1329#121—611no—
1330#121—611no—
1331#121—611no—
1332#121—611no—
1333#121—611no—
1334#121—611no—
1335#121—1221no—
1336#121—1221no—
1337#121—1221no—
1338#121—1221no—
1339#121—1221no—
1340#121—1221no—
1341#121—1221no—
1342#121—1221no—
1343#121—1221no—
1344#121—1221no—
1345#121—1221no—
1346#121—1221no—
1347#121C22×D6111yescharacteristic
1348#121C22×D6111yescharacteristic
1349#120—1221no—
1350#120—1221no—
1351#120—1221no—
1352#120—1221no—
1353#120—1221no—
1354#120—1221no—
1355#120—1221no—
1356#120—1221no—
1357#120—1221no—
1358C4×Q8—1221no—
1359C4×D4—1221no—
1360C4×D4—1221no—
1361C4×D4—1221no—
1362C4×D4—1221no—
1363C4×D4—1221no—
1364C4×D4—1221no—
1365C4×D4—1221no—
1366C4×D4—1221no—
1367C4×D4—1221no—
1368#117—611no—
1369#117—611no—
1370#117—611no—
1371#117—611no—
1372#117—611no—
1373#117—611no—
1374#117—1221no—
1375#117—1221no—
1376#117C22×D6111yescharacteristic
1377C2×C4⋊C4—611no—
1378C2×C4⋊C4—611no—
1379C2×C4⋊C4—611no—
1380C2×C4⋊C4—611no—
1381C2×C4⋊C4—1221no—
1382C2×C4⋊C4—1221no—
1383C2×C4⋊C4—1221no—
1384C2×C4⋊C4—1221no—
1385C2×C4⋊C4C22×D6111yescharacteristic
1386C2×C22⋊C4—1221no—
1387C2×C22⋊C4—1221no—
1388C2×C22⋊C4—1221no—
1389C2×C22⋊C4—1221no—
1390C2×C22⋊C4—1221no—
1391C2×C22⋊C4—1221no—
1392C2×C22⋊C4—1221no—
1393C2×C22⋊C4—1221no—
1394C2×C42—1221no—
1395#107—611no—
1396#107—611no—
1397#107—611no—
1398#107—611no—
1399#107—611no—
1400#107—611no—
1401#107C22×D6111yescharacteristic
1402#107C22×D6111yescharacteristic
1403#106—611no—
1404#106—611no—
1405#106—611no—
1406#106—611no—
1407#106—611no—
1408#106—611no—
1409#106C22×D6111yescharacteristic
1410#106C22×D6111yescharacteristic
1411#103—611no—
1412#103—611no—
1413#103—611no—
1414#103—611no—
1415#103—611no—
1416#103—611no—
1417#103—611no—
1418#103—611no—
1419#103—611no—
1420#103—611no—
1421#103—611no—
1422#103—611no—
1423#103—611no—
1424#103—611no—
1425#103C22×D6111yescharacteristic
1426#103C22×D6111yescharacteristic
1427#103C22×D6111yescharacteristic
1428#103C22×D6111yescharacteristic
1429#103C22×D6111yescharacteristic
1430#103C22×D6111yescharacteristic
1431#102—611no—
1432#102—611no—
1433#102—611no—
1434#102—611no—
1435#102—611no—
1436#102—611no—
1437#102—611no—
1438#102—611no—
1439#102—611no—
1440#102—611no—
1441#102C22×D6111yescharacteristic
1442#102C22×D6111yescharacteristic
1443C22⋊C8—611no—
1444C22⋊C8—611no—
1445C22⋊C8—611no—
1446C22⋊C8—611no—
1447C22⋊C8—611no—
1448C22⋊C8—611no—
1449C22⋊C8—611no—
1450C22⋊C8—611no—
1451C22⋊C8—611no—
1452C22⋊C8—611no—
1453C22⋊C8—611no—
1454C22⋊C8—611no—
1455C22⋊C8C22×D6111yescharacteristic
1456C22⋊C8C22×D6111yescharacteristic
1457C22⋊C8C22×D6111yescharacteristic
1458C22⋊C8C22×D6111yescharacteristic
1459C24—611no—
1460C24—611no—
1461C24—611no—
1462C24—1221no—
1463C24—1221no—
1464C24—1221no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—41no—
1469#41—1222no—
1470#41—1222no—
1471#41—1222no—
1472#41—1222no—
1473#41—1222no—
1474#41—1222no—
1475#41—2441no—
1476#41—2441no—
1477#41—2444no—
1478#41—2442no—
1479#41—2442no—
1480#41—2442no—
1481#41—2442no—
1482#41—2441no—
1483#41—2441no—
1484C2×Q8—21no—
1485C2×Q8—41no—
1486C2×Q8—41no—
1487C2×Q8—611no—
1488C2×Q8—611no—
1489C2×Q8—611no—
1490C2×Q8—611no—
1491C2×Q8—611no—
1492C2×Q8—1221no—
1493C2×Q8—1221no—
1494C2×Q8—1221no—
1495C2×Q8—1221no—
1496C2×Q8—1222no—
1497C2×Q8—1222no—
1498C2×Q8—1222no—
1499C2×Q8—1222no—
1500C2×Q8—1221no—
1501C2×Q8—2441no—
1502C2×Q8—2441no—
1503C2×Q8—2444no—
1504C2×Q8—2441no—
1505C2×Q8—2441no—
1506C2×Q8—2441no—
1507C2×Q8—2441no—
1508C2×Q8—2442no—
1509C2×Q8—2444no—
1510C2×Q8—2444no—
1511C2×Q8D4×D6111yescharacteristic
1512C2×Q8C23×D6111yescharacteristic
1513C2×Q8C23×D6111yescharacteristic
1514C2×Q8C23×D6111yescharacteristic
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—611no—
1519C2×D4—611no—
1520C2×D4—611no—
1521C2×D4—611no—
1522C2×D4—611no—
1523C2×D4—611no—
1524C2×D4—611no—
1525C2×D4—611no—
1526C2×D4—611no—
1527C2×D4—611no—
1528C2×D4—611no—
1529C2×D4—1221no—
1530C2×D4—1221no—
1531C2×D4—1221no—
1532C2×D4—1221no—
1533C2×D4—1221no—
1534C2×D4—1221no—
1535C2×D4—1222no—
1536C2×D4—1222no—
1537C2×D4—1221no—
1538C2×D4—1221no—
1539C2×D4—1221no—
1540C2×D4—1221no—
1541C2×D4—1221no—
1542C2×D4—1221no—
1543C2×D4—1221no—
1544C2×D4—1221no—
1545C2×D4—1221no—
1546C2×D4—4882no—
1547C2×D4—4882no—
1548C2×D4—4882no—
1549C2×D4—2441no—
1550C2×D4—2441no—
1551C2×D4—2444no—
1552C2×D4—2441no—
1553C2×D4—2441no—
1554C2×D4—2442no—
1555C2×D4—2442no—
1556C2×D4—2442no—
1557C2×D4—2444no—
1558C2×D4—2444no—
1559C2×D4D4×D6111yescharacteristic
1560C2×D4D4×D6111yescharacteristic
1561C2×D4D4×D6111yescharacteristic
1562C2×D4C23×D6111yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—611no—
1567C22×C4—611no—
1568C22×C4—611no—
1569C22×C4—611no—
1570C22×C4—611no—
1571C22×C4—611no—
1572C22×C4—611no—
1573C22×C4—611no—
1574C22×C4—611no—
1575C22×C4—611no—
1576C22×C4—611no—
1577C22×C4—611no—
1578C22×C4—611no—
1579C22×C4—1222no—
1580C22×C4—1222no—
1581C22×C4—1221no—
1582C22×C4—1221no—
1583C22×C4—1221no—
1584C22×C4—1221no—
1585C22×C4—1221no—
1586C22×C4—1221no—
1587C22×C4—1221no—
1588C22×C4—1221no—
1589C22×C4—1221no—
1590C22×C4—1221no—
1591C22×C4—1221no—
1592C22×C4—2441no—
1593C22×C4—2441no—
1594C22×C4—2441no—
1595C22×C4—2441no—
1596C22×C4—2444no—
1597C22×C4C23×D6111yescharacteristic
1598C22×C4C23×D6111yescharacteristic
1599C22×C4C23×D6111yescharacteristic
1600Q16—41no—
1601Q16—41no—
1602Q16—2441no—
1603Q16—2441no—
1604SD16—41no—
1605SD16—41no—
1606SD16—2441no—
1607SD16—2441no—
1608SD16—2441no—
1609SD16—2441no—
1610SD16—2441no—
1611SD16—2441no—
1612SD16—2441no—
1613SD16—2441no—
1614SD16—2441no—
1615SD16—2441no—
1616M16—41no—
1617M16—1222no—
1618M16—1222no—
1619M16—2441no—
1620M16—2441no—
1621M16—2441no—
1622C2×C8—41no—
1623C2×C8—611no—
1624C2×C8—611no—
1625C2×C8—611no—
1626C2×C8—611no—
1627C2×C8—1222no—
1628C2×C8—1222no—
1629C2×C8—2441no—
1630C2×C8—2441no—
1631C2×C8—2441no—
1632C2×C8C23×D6111yescharacteristic
1633C2×C8C23×D6111yescharacteristic
1634C2×C8C23×D6111yescharacteristic
1635C2×C8C23×D6111yescharacteristic
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—611no—
1644C4⋊C4—611no—
1645C4⋊C4—611no—
1646C4⋊C4—611no—
1647C4⋊C4—1221no—
1648C4⋊C4—1221no—
1649C4⋊C4—1221no—
1650C4⋊C4—1221no—
1651C4⋊C4—1221no—
1652C4⋊C4—1221no—
1653C4⋊C4—1221no—
1654C4⋊C4—1221no—
1655C4⋊C4—1221no—
1656C4⋊C4—1221no—
1657C4⋊C4—1221no—
1658C4⋊C4—1221no—
1659C4⋊C4—1221no—
1660C4⋊C4—1221no—
1661C4⋊C4—1221no—
1662C4⋊C4—1221no—
1663C4⋊C4—1221no—
1664C4⋊C4—1221no—
1665C4⋊C4C23×D6111yescharacteristic
1666C4⋊C4C23×D6111yescharacteristic
1667C4⋊C4C23×D6111yescharacteristic
1668C4⋊C4C23×D6111yescharacteristic
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—1221no—
1679C22⋊C4—1221no—
1680C22⋊C4—1221no—
1681C22⋊C4—1221no—
1682C22⋊C4—1221no—
1683C22⋊C4—1221no—
1684C22⋊C4—1221no—
1685C22⋊C4—1221no—
1686C22⋊C4—1221no—
1687C22⋊C4—1221no—
1688C22⋊C4—1221no—
1689C22⋊C4—1221no—
1690C22⋊C4—1221no—
1691C22⋊C4—1221no—
1692C22⋊C4—1221no—
1693C22⋊C4—1221no—
1694C22⋊C4—1221no—
1695C22⋊C4—1221no—
1696C22⋊C4—1221no—
1697C22⋊C4—1221no—
1698C22⋊C4—1221no—
1699C22⋊C4—1221no—
1700C22⋊C4—1221no—
1701C22⋊C4—1221no—
1702C22⋊C4—1221no—
1703C22⋊C4—1221no—
1704C22⋊C4—1221no—
1705C22⋊C4—1221no—
1706C22⋊C4—1221no—
1707C22⋊C4—1221no—
1708C42—21no—
1709C42—1221no—
1710C42—1221no—
1711C42—1221no—
1712C42—1221no—
1713C42—1221no—
1714C42—1221no—
1715C23—21no—
1716C23—611no—
1717C23—611no—
1718C23—611no—
1719C23—611no—
1720C23—1222no—
1721C23—1222no—
1722C23—1222no—
1723C23—1222no—
1724C23—1221no—
1725C23—1221no—
1726C23—4881no—
1727C23—4881no—
1728C23—4881no—
1729C23—4881no—
1730C23—4881no—
1731C23—4881no—
1732C23—2441no—
1733C23—2441no—
1734C23—2441no—
1735C23—2441no—
1736C23—2441no—
1737C23—2442no—
1738C23—2442no—
1739C23—2442no—
1740C23C2×D4×D6111yescharacteristic
1741C23C2×D4×D6111yescharacteristic
1742C23C2×D4×D6111yescharacteristic
1743Q8—21no—
1744Q8—21no—
1745Q8—21no—
1746Q8—21no—
1747Q8—21no—
1748Q8—21no—
1749Q8—41no—
1750Q8—42no—
1751Q8—1222no—
1752Q8—1222no—
1753Q8—1221no—
1754Q8—1221no—
1755Q8—1221no—
1756Q8—1221no—
1757Q8—2441no—
1758Q8—2442no—
1759Q8—2442no—
1760Q8—2442no—
1761Q8—2442no—
1762Q8—2442no—
1763D4—21no—
1764D4—21no—
1765D4—41no—
1766D4—41no—
1767D4—41no—
1768D4—42no—
1769D4—81no—
1770D4—81no—
1771D4—1222no—
1772D4—1222no—
1773D4—1222no—
1774D4—1222no—
1775D4—1222no—
1776D4—1222no—
1777D4—1221no—
1778D4—1221no—
1779D4—1221no—
1780D4—1221no—
1781D4—4881no—
1782D4—4881no—
1783D4—4881no—
1784D4—4881no—
1785D4—4881no—
1786D4—4881no—
1787D4—4881no—
1788D4—2441no—
1789D4—2442no—
1790D4—2442no—
1791D4—2442no—
1792D4—2442no—
1793D4—2442no—
1794D4—2442no—
1795D4—2441no—
1796D4—2441no—
1797D4—2442no—
1798D4—2442no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—42no—
1813C2×C4—42no—
1814C2×C4—81no—
1815C2×C4—611no—
1816C2×C4—612no—
1817C2×C4—612no—
1818C2×C4—611no—
1819C2×C4—611no—
1820C2×C4—611no—
1821C2×C4—1222no—
1822C2×C4—1222no—
1823C2×C4—1222no—
1824C2×C4—1221no—
1825C2×C4—1221no—
1826C2×C4—1221no—
1827C2×C4—1221no—
1828C2×C4—1221no—
1829C2×C4—1221no—
1830C2×C4—1221no—
1831C2×C4—1221no—
1832C2×C4—1221no—
1833C2×C4—1221no—
1834C2×C4—1221no—
1835C2×C4—1221no—
1836C2×C4—4881no—
1837C2×C4—4881no—
1838C2×C4—2441no—
1839C2×C4—2441no—
1840C2×C4—2441no—
1841C2×C4—2441no—
1842C2×C4—2442no—
1843C2×C4—2442no—
1844C2×C4—2442no—
1845C2×C4—2442no—
1846C2×C4—2442no—
1847C2×C4—2442no—
1848C2×C4—2442no—
1849C2×C4—2442no—
1850C2×C4—2441no—
1851C2×C4—2441no—
1852C2×C4—2442no—
1853C2×C4C2×D4×D6111yescharacteristic
1854C2×C4C2×D4×D6111yescharacteristic
1855C2×C4C2×D4×D6111yescharacteristic
1856C2×C4C24×D6111yescharacteristic
1857C8—21no—
1858C8—21no—
1859C8—21no—
1860C8—21no—
1861C8—1221no—
1862C8—1221no—
1863C8—1221no—
1864C8—1221no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—612no—
1878C22—612no—
1879C22—1221no—
1880C22—1221no—
1881C22—1221no—
1882C22—1221no—
1883C22—1221no—
1884C22—1221no—
1885C22—1221no—
1886C22—1221no—
1887C22—1221no—
1888C22—1221no—
1889C22—9762no—
1890C22—9762no—
1891C22—9762no—
1892C22—4882no—
1893C22—4882no—
1894C22—2444no—
1895C22—2441no—
1896C22—2441no—
1897C22—2441no—
1898C22—2441no—
1899C22—2441no—
1900C22—2441no—
1901C22C22×D4×D6111yescharacteristic
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—612no—
1913C4—1221no—
1914C4—1221no—
1915C4—1221no—
1916C4—2441no—
1917C4—2441no—
1918C4—2441no—
1919C4—2441no—
1920C4—2441no—
1921C4—2441no—
1922C4H(5,𝔽2)×D6111yescharacteristic
1923C4H(5,𝔽2)×D6111yescharacteristic
1924C2—41no—
1925C2—41no—
1926C2—41no—
1927C2—81no—
1928C2—1222no—
1929C2—1222no—
1930C2—4881no—
1931C2—4881no—
1932C2—2441no—
1933C2—2441no—
1934C2#534×D6111yescharacteristic
1935C2#577×D6111yescharacteristic
1936C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3201C2
socleC22×C61C23×D4
prime radical#21459483C2
hypercenter#3201D61
hypocenterC61#60758
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
2. #536×D61C2semidirect
3. #21456707C2semidirect
4. #21456705C2semidirect
5. #21456695C2semidirect
6. #21456693C2semidirect
7. #21456692C2semidirect
8. #21456689C2semidirect
9. #21456686C2semidirect
10. #21456650C2semidirect
11. #21456647C2semidirect
12. #21456624C2semidirect
13. #21456620C2semidirect
14. #21456601C2semidirect
15. #21456598C2semidirect
16. #21456575C2semidirect
17. #21456571C2semidirect
18. #21455787C2semidirect
19. #21455781C2semidirect
20. #21455758C2semidirect
21. #21455737C2semidirect
22. #21455509C2semidirect
23. #21455507C2semidirect
24. #21455456C2semidirect
25. #21455453C2semidirect
26. #21455093C2semidirect
27. #21455093C2semidirect
28. #21455054C2semidirect
29. #448×D61C2semidirect
30. #21454267C2semidirect
31. C61×#3201C2semidirect
34. C22×Q8×D61C22semidirect
35. C2×#14519809C22semidirect
36. C2×#14519809C22semidirect
37. C2×SD16×D61C22semidirect
38. C2×SD16×D61C22semidirect
39. C2×#14519785C22semidirect
40. C2×#14519783C22semidirect
51. #16840338C22semidirect
53. #16840336C22semidirect
56. #16840335C22semidirect
57. #16840335C22semidirect
60. #16840333C22semidirect
72. C22⋊Q8×D61C22semidirect
73. C22⋊Q8×D61C22semidirect
74. C22⋊Q8×D61C22semidirect
75. C22⋊Q8×D61C22semidirect
80. #117×D61C22semidirect
81. #16840106C22semidirect
82. #16840105C22semidirect
83. #16840104C22semidirect
84. #16840104C22semidirect
85. #16840102C22semidirect
86. #16840101C22semidirect
87. #16840100C22semidirect
88. #16840100C22semidirect
89. #16840100C22semidirect
90. #16840099C22semidirect
91. #16840097C22semidirect
92. #16840096C22semidirect
93. #16840096C22semidirect
94. #16840094C22semidirect
95. #16840092C22semidirect
96. #16840091C22semidirect
97. #16840091C22semidirect
98. #16840087C22semidirect
99. #16840087C22semidirect
100. #16840086C22semidirect
101. #16840086C22semidirect
102. #16840083C22semidirect
103. #16840082C22semidirect
104. #16840082C22semidirect
105. #16840079C22semidirect
106. #16840077C22semidirect
107. #16840077C22semidirect
108. #16840074C22semidirect
109. #16840019C22semidirect
110. #16840018C22semidirect
111. #16840017C22semidirect
112. #16840011C22semidirect
113. #16840011C22semidirect
114. #16840010C22semidirect
115. #16840010C22semidirect
116. #16840009C22semidirect
117. #16840009C22semidirect
118. #16840008C22semidirect
119. #16840008C22semidirect
120. #16840007C22semidirect
121. #16840006C22semidirect
122. #16840005C22semidirect
123. #16840002C22semidirect
124. #16840001C22semidirect
125. #16840000C22semidirect
126. #16839994C22semidirect
127. #16839994C22semidirect
128. #16839993C22semidirect
129. #16839993C22semidirect
130. #16839992C22semidirect
131. #16839992C22semidirect
132. #16839991C22semidirect
133. #16839991C22semidirect
134. #16839990C22semidirect
135. #16839989C22semidirect
136. #16839988C22semidirect
137. #16839927C22semidirect
138. #16839927C22semidirect
139. #16839924C22semidirect
140. #16839924C22semidirect
141. #16839923C22semidirect
142. #16839923C22semidirect
143. #16839917C22semidirect
144. #16839916C22semidirect
145. #16839916C22semidirect
146. #16839915C22semidirect
147. #16839915C22semidirect
148. #16839914C22semidirect
149. #16839914C22semidirect
150. #16839912C22semidirect
151. #16839912C22semidirect
152. #16839911C22semidirect
153. #16839911C22semidirect
154. #16839903C22semidirect
155. #16839903C22semidirect
156. #16839902C22semidirect
157. #16839902C22semidirect
158. #16839902C22semidirect
159. #16839902C22semidirect
160. #16839901C22semidirect
161. #16839901C22semidirect
162. #16839900C22semidirect
163. #16839899C22semidirect
164. #16839899C22semidirect
165. #16839803C22semidirect
166. #16839801C22semidirect
167. #16839799C22semidirect
168. #16839797C22semidirect
169. #16839769C22semidirect
170. #16839769C22semidirect
171. #16839765C22semidirect
172. #16839765C22semidirect
173. #16839757C22semidirect
174. #16839757C22semidirect
175. #103×D61C22semidirect
176. #103×D61C22semidirect
177. #16839729C22semidirect
180. #16839727C22semidirect
181. #16839727C22semidirect
182. #16839725C22semidirect
183. #16839724C22semidirect
184. #16839724C22semidirect
185. C2×#14519689C22semidirect
186. C22⋊C8×D61C22semidirect
187. C22⋊C8×D61C22semidirect
189. C61×#536C22semidirect
190. C61×#485C22semidirect
191. C61×#484C22semidirect
192. C61×#483C22semidirect
193. C61×#482C22semidirect
194. C61×#470C22semidirect
195. C61×#468C22semidirect
196. C61×#467C22semidirect
197. C61×#465C22semidirect
198. C61×#452C22semidirect
199. C61×#452C22semidirect
200. C61×#451C22semidirect
201. C61×#448C22semidirect
202. C61×#408C22semidirect
961. #3201D61semidirect
1031. #536C2×D61semidirect
1060. #485C2×D61semidirect
1065. #484C2×D61semidirect
1070. #483C2×D61semidirect
1076. #482C2×D61semidirect
1086. #470C2×D61semidirect
1098. #468C2×D61semidirect
1102. #467C2×D61semidirect
1114. #465C2×D61semidirect
1121. #452C2×D61semidirect
1122. #452C2×D61semidirect
1126. #451C2×D61semidirect
1146. #448C2×D61semidirect
1164. #408C2×D61semidirect
1171. C61#60758semidirect

Maximal subgroups

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

subgroupindex
#214594832
#536×D612
#214567072
#214567052
#214566952
#214566932
#214566922
#214566892
#214566862
#214566502
#214566472
#214566242
#214566202
#214566012
#214565982
#214565752
#214565712
#214557872
#214557812
#214557582
#214557372
#214555092
#214555072
#214554562
#214554532
#214550932
#214550542
#448×D612
#214542672
C61×#32012
#6075861