Finite Group Databasebeta

← #29888447

Subgroups — #29888447

Order 15616.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454136C211yesmaximal, characteristic, complemented
2#21454122C211yesmaximal, characteristic, complemented
3#21453476C211yesmaximal, characteristic, complemented
4#21453476C211yesmaximal, characteristic, complemented
5#21453431C211yesmaximal, characteristic, complemented
6#21453260C211yesmaximal, characteristic, complemented
7#21453245C211yesmaximal, characteristic, complemented
8#21453212C211yesmaximal, characteristic, complemented
9#21453142C211yesmaximal, characteristic, complemented
10#21453043C211yesmaximal, characteristic, complemented
11#21452965C211yesmaximal, characteristic, complemented
12#21452930C211yesmaximal, characteristic, complemented
13#21452862C211yesmaximal, characteristic, complemented
14#21452861C211yesmaximal, characteristic, complemented
15#21452810C211yesmaximal, characteristic, complemented
16#21452443C211yesmaximal, characteristic, complemented
17#21452217C211yesmaximal, characteristic, complemented
18#21452202C211yesmaximal, characteristic, complemented
19#21451605C211yesmaximal, characteristic, complemented
20#21451564C211yesmaximal, characteristic, complemented
21#21450375C211yesmaximal, characteristic, complemented
22#21450151C211yesmaximal, characteristic, complemented
23#21449573C211yesmaximal, characteristic, complemented
24#21449368C211yesmaximal, characteristic, complemented
25#21449209C211yesmaximal, characteristic, complemented
26#21449187C211yesmaximal, characteristic
27#21449147C211yesmaximal, characteristic, complemented
28#21448474C211yesmaximal, characteristic, complemented
29#21448394C211yesmaximal, characteristic, complemented
30C2×#16839650C211yesmaximal, characteristic, complemented
31C61×#2437C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C2×#14519772C2211yescharacteristic, complemented
34C2×#14519766C2211yescharacteristic, complemented
35C2×#14519761C2211yescharacteristic
36C2×#14519761C2211yescharacteristic
37C2×#14519761C2211yescharacteristic, complemented
38C2×#14519751C2211yescharacteristic
39C2×#14519751C2211yescharacteristic
40C2×#14519747C2211yescharacteristic
41C2×#14519746C2211yescharacteristic
42C2×#14519737C2211yescharacteristic, complemented
43C22×#11758196C2211yescharacteristic, complemented
44C22×C22⋊Dic61C2211yescharacteristic
45C22×C22⋊Dic61C2211yescharacteristic
46C22×C4×Dic61C2211yescharacteristic, complemented
47C61⋊#401C2211yescharacteristic, complemented
48#16839704C2211yescharacteristic, complemented
49#16839704C2211yescharacteristic, complemented
50#16839704C2211yescharacteristic, complemented
51#16839701C2211yescharacteristic, complemented
52#16839701C2211yescharacteristic, complemented
53#16839701C2211yescharacteristic, complemented
54#16839697C2211yescharacteristic, complemented
55#16839697C2211yescharacteristic, complemented
56#16839695C2211yescharacteristic, complemented
57#16839695C2211yescharacteristic, complemented
58#16839694C2211yescharacteristic, complemented
59#16839694C2211yescharacteristic, complemented
60#16839694C2211yescharacteristic, complemented
61#16839691C2211yescharacteristic, complemented
62#16839691C2211yescharacteristic, complemented
63#16839691C2211yescharacteristic, complemented
64#16839689C2211yescharacteristic, complemented
65#16839689C2211yescharacteristic, complemented
66#16839688C2211yescharacteristic, complemented
67#16839688C2211yescharacteristic, complemented
68#16839688C2211yescharacteristic, complemented
69#16839687C2211yescharacteristic
70#16839687C2211yescharacteristic
71#16839684C2211yescharacteristic, complemented
72#16839684C2211yescharacteristic, complemented
73#16839684C2211yescharacteristic, complemented
74#16839684C2211yescharacteristic, complemented
75#16839684C2211yescharacteristic, complemented
76#16839680C2211yescharacteristic, complemented
77#16839680C2211yescharacteristic, complemented
78#16839679C2211yescharacteristic, complemented
79#16839679C2211yescharacteristic, complemented
80#16839678C2211yescharacteristic
81#16839678C2211yescharacteristic
82#16839678C2211yescharacteristic
83#16839678C2211yescharacteristic
84#16839678C2211yescharacteristic
85#16839678C2211yescharacteristic
86#16839678C2211yescharacteristic
87#16839678C2211yescharacteristic
88#16839673C2211yescharacteristic, complemented
89#16839671C2211yescharacteristic
90#16839671C2211yescharacteristic
91#16839669C2211yescharacteristic, complemented
92#16839669C2211yescharacteristic, complemented
93#16839663C2211yescharacteristic, complemented
94#16839662C2211yescharacteristic
95#16839662C2211yescharacteristic, complemented
96#16839661C2211yescharacteristic, complemented
97#16839656C2211yescharacteristic
98#16839656C2211yescharacteristic, complemented
99#16839654C2211yescharacteristic, complemented
100#16839654C2211yescharacteristic, complemented
101#16839654C2211yescharacteristic, complemented
102#16839652C2211yescharacteristic, complemented
103#16839652C2211yescharacteristic, complemented
104#16839652C2211yescharacteristic, complemented
105#16839652C2211yescharacteristic, complemented
106#16839652C2211yescharacteristic, complemented
107#16839652C2211yescharacteristic, complemented
108#16839652C2211yescharacteristic, complemented
109#16839652C2211yescharacteristic, complemented
110#16839652C2211yescharacteristic, complemented
111#16839651C2211yescharacteristic, complemented
112#16839650C2211yescharacteristic
113#16839650C2211yescharacteristic
114#16839650C2211yescharacteristic
115#16839650C2211yescharacteristic
116#16839650C2211yescharacteristic
117#16839650C2211yescharacteristic, complemented
118#16839650C2211yescharacteristic, complemented
119#16839650C2211yescharacteristic, complemented
120#16839650C2211yescharacteristic, complemented
121#16839650C2211yescharacteristic, complemented
122#16839648C2211yescharacteristic, complemented
123#16839648C2211yescharacteristic, complemented
124#16839648C2211yescharacteristic, complemented
125#16839645C2211yescharacteristic, complemented
126#16839643C2211yescharacteristic, complemented
127#16839641C2211yescharacteristic
128#16839641C2211yescharacteristic
129#16839641C2211yescharacteristic
130#16839641C2211yescharacteristic
131#16839641C2211yescharacteristic
132#16839641C2211yescharacteristic
133#16839641C2211yescharacteristic, complemented
134#16839641C2211yescharacteristic, complemented
135#16839640C2211yescharacteristic, complemented
136#16839640C2211yescharacteristic, complemented
137#16839639C2211yescharacteristic
138#16839639C2211yescharacteristic
139#16839639C2211yescharacteristic
140#16839639C2211yescharacteristic
141#16839639C2211yescharacteristic
142#16839639C2211yescharacteristic
143#16839639C2211yescharacteristic
144#16839639C2211yescharacteristic, complemented
145#16839639C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic
147#16839638C2211yescharacteristic, complemented
148#16839637C2211yescharacteristic
149#16839637C2211yescharacteristic
150#16839637C2211yescharacteristic
151#16839637C2211yescharacteristic, complemented
152#16839634C2211yescharacteristic, complemented
153#16839629C2211yescharacteristic, complemented
154#16839629C2211yescharacteristic, complemented
155#16839627C2211yescharacteristic, complemented
156#16839627C2211yescharacteristic, complemented
157#16839624C2211yescharacteristic, complemented
158#16839623C2211yescharacteristic
159#16839623C2211yescharacteristic
160#16839623C2211yescharacteristic, complemented
161#16839622C2211yescharacteristic, complemented
162#16839622C2211yescharacteristic, complemented
163#16839619C2211yescharacteristic, complemented
164#16839617C2211yescharacteristic
165#16839617C2211yescharacteristic
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic, complemented
172C2×C22⋊Q8×C61C2211yescharacteristic, complemented
173C2×C22⋊Q8×C61C2211yescharacteristic, complemented
174C22×C22⋊C4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C61×#399C2211yescharacteristic
177C61×#396C2211yescharacteristic
178C61×#396C2211yescharacteristic
179C61×#393C2211yescharacteristic
180C61×#385C2211yescharacteristic, complemented
181C61×#385C2211yescharacteristic, complemented
182C61×#385C2211yescharacteristic, complemented
183C61×#385C2211yescharacteristic, complemented
184C61×#380C2211yescharacteristic, complemented
185C61×#380C2211yescharacteristic, complemented
186C61×#379C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C22×D244C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×C22⋊D61—24no—
191C22×C22⋊D61—42no—
192C22×C22⋊D61—42no—
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206#14519772—42no—
207#14519766—42no—
208#14519761—42no—
209#14519761—42no—
210#14519761—42no—
211#14519751—42no—
212#14519751—42no—
213#14519747—42no—
214#14519746—24no—
215#14519737—42no—
216C2×C4⋊Dic61C2311yescharacteristic
217C2×C4⋊Dic61C2311yescharacteristic
218C2×C4⋊Dic61C2311yescharacteristic
219C2×C4⋊Dic61C2311yescharacteristic
220C2×C4⋊Dic61C2311yescharacteristic
221C2×C4⋊Dic61C2311yescharacteristic
222C2×C4⋊Dic61C2311yescharacteristic
223C2×C4⋊Dic61C2311yescharacteristic
224C2×C4⋊Dic61C2311yescharacteristic
225C2×C4⋊Dic61C2311yescharacteristic
226C2×#11758196—42no—
227C2×#11758196C2311yescharacteristic
228C2×#11758196C2311yescharacteristic
229C2×#11758196C2311yescharacteristic
230C2×#11758196C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×C22⋊Dic61—24no—
235C2×C22⋊Dic61—42no—
236C2×C22⋊Dic61C2311yescharacteristic
237C2×C22⋊Dic61C2311yescharacteristic
238C2×C22⋊Dic61C2311yescharacteristic
239C2×C22⋊Dic61C2311yescharacteristic
240C2×C22⋊Dic61C2311yescharacteristic
241C2×C22⋊Dic61C2311yescharacteristic
242C2×C22⋊Dic61C2311yescharacteristic
243C2×C22⋊Dic61C2311yescharacteristic
244C2×C22⋊Dic61C2311yescharacteristic
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
247C2×#11758198C2311yescharacteristic
248C2×#11758198C2311yescharacteristic
249C2×#11758198C2311yescharacteristic
250C2×#11758198C2311yescharacteristic
251C2×#11758198C2311yescharacteristic
252C2×#11758198C2311yescharacteristic
253C2×#11758198C2311yescharacteristic
254C2×#11758198C2311yescharacteristic
255C2×#11758198C2311yescharacteristic
256C2×#11758198C2311yescharacteristic
257C2×#11758198C2311yescharacteristic
258C2×#11758198C2311yescharacteristic
259C2×#11758198C2311yescharacteristic
260C2×#11758198C2311yescharacteristic
261C2×#11758198C2311yescharacteristic
262C2×#11758198C2311yescharacteristic
263C2×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×C4×Dic61—42no—
279C2×C4×Dic61C2311yescharacteristic
280C2×C4×Dic61C2311yescharacteristic
281C2×C4×Dic61C2311yescharacteristic
282C2×C4×Dic61C2311yescharacteristic
283C2×C4×Dic61C2311yescharacteristic
284C2×C4×Dic61C2311yescharacteristic
285C2×C4×Dic61C2311yescharacteristic
286#14519684C2311yescharacteristic
287#14519684C2311yescharacteristic
288#14519684C2311yescharacteristic
289#14519684C2311yescharacteristic
290#14519684C2311yescharacteristic
291#14519684C2311yescharacteristic
292#14519684C2311yescharacteristic
293#14519684C2311yescharacteristic
294#14519684C2311yescharacteristic
295#14519684C2311yescharacteristic
296#14519684C2311yescharacteristic
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324C25×C61C2311yescharacteristic
325C22×Q8×C61C2311yescharacteristic
326C23×C4×C61C2311yescharacteristic
327C23×C4×C61C2311yescharacteristic
328C23×C4×C61C2311yescharacteristic
329C23×C4×C61C2311yescharacteristic
330C22⋊Q8×C61—42no—
331C22⋊Q8×C61—42no—
332C2×C4⋊C4×C61C2311yescharacteristic
333C2×C4⋊C4×C61C2311yescharacteristic
334C2×C4⋊C4×C61C2311yescharacteristic
335C2×C4⋊C4×C61C2311yescharacteristic
336C2×C4⋊C4×C61C2311yescharacteristic
337C2×C4⋊C4×C61C2311yescharacteristic
338C2×C4⋊C4×C61C2311yescharacteristic
339C2×C4⋊C4×C61C2311yescharacteristic
340C2×C4⋊C4×C61C2311yescharacteristic
341C2×C22⋊C4×C61—42no—
342C2×C22⋊C4×C61—42no—
343C2×C22⋊C4×C61C2311yescharacteristic
344C2×C22⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61C2311yescharacteristic
346C2×C22⋊C4×C61C2311yescharacteristic
347C2×C22⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363C24×C61—22no—
364C24×C61—22no—
365C24×C61—41no—
366C24×C61—41no—
367C24×C61—41no—
368C24×C61—41no—
369C24×C61#4114yes—
370C24×C61C2411yescharacteristic
371C24×C61C2411yescharacteristic
372C24×C61C2411yescharacteristic
373C23×D61—22no—
374C23×D61—41no—
375C23×D61—41no—
376C23×D61—41no—
377C23×D61—41no—
378C23×D61—41no—
379C23×D61—41no—
380C23×D61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C23×D61C2411yescharacteristic
383C2×Q8×C61—22no—
384C2×Q8×C61—41no—
385C2×Q8×C61—41no—
386C22×C4×C61—22no—
387C22×C4×C61—22no—
388C22×C4×C61—22no—
389C22×C4×C61—41no—
390C22×C4×C61—41no—
391C22×C4×C61—41no—
392C22×C4×C61—41no—
393C22×C4×C61—41no—
394C22×C4×C61—41no—
395C22×C4×C61—41no—
396C22×C4×C61—41no—
397C22×C4×C61—41no—
398C22×C4×C61C2411yescharacteristic
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C2×C22⋊D61—22no—
411C2×C22⋊D61—22no—
412C2×C22⋊D61—22no—
413C2×C22⋊D61—22no—
414C2×C22⋊D61—22no—
415C2×C22⋊D61—22no—
416C2×C22⋊D61—22no—
417C2×C22⋊D61—22no—
418C2×C22⋊D61—22no—
419C2×C22⋊D61—22no—
420C2×C22⋊D61—22no—
421C2×C22⋊D61—22no—
422C2×C22⋊D61—22no—
423C2×C22⋊D61—41no—
424C2×C22⋊D61—41no—
425C2×C22⋊D61—41no—
426C2×C22⋊D61—41no—
427C2×C22⋊D61—41no—
428C2×C22⋊D61—41no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—416no—
432C22×Dic61—22no—
433C22×Dic61—22no—
434C22×Dic61—22no—
435C22×Dic61—22no—
436C22×Dic61—22no—
437C22×Dic61—22no—
438C22×Dic61—22no—
439C22×Dic61—41no—
440C22×Dic61—41no—
441C22×Dic61—41no—
442C22×Dic61—41no—
443C22×Dic61—41no—
444C22×Dic61—41no—
445C22×Dic61—41no—
446C22×Dic61—41no—
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C2×D244—22no—
461C2×D244—41no—
462C2×D244—41no—
463C2×D244—41no—
464C2×D244—41no—
465C2×D244—41no—
466C2×C4×D61—41no—
467C2×C4×D61—41no—
468C2×C4×D61—41no—
469C4⋊C4×C61—22no—
470C4⋊C4×C61—41no—
471C4⋊C4×C61—41no—
472C4⋊C4×C61—41no—
473C4⋊C4×C61—41no—
474C4⋊C4×C61—41no—
475C4⋊C4×C61—41no—
476C4⋊C4×C61—41no—
477C4⋊C4×C61—41no—
478C22⋊C4×C61—22no—
479C22⋊C4×C61—22no—
480C22⋊C4×C61—22no—
481C22⋊C4×C61—22no—
482C22⋊C4×C61—22no—
483C22⋊C4×C61—22no—
484C22⋊C4×C61—41no—
485C22⋊C4×C61—41no—
486C22⋊C4×C61—41no—
487C22⋊C4×C61—41no—
488C22⋊C4×C61—41no—
489C22⋊C4×C61—41no—
490C22⋊C4×C61—41no—
491C22⋊C4×C61—41no—
492C22⋊Dic61—22no—
493C22⋊Dic61—22no—
494C22⋊Dic61—22no—
495C22⋊Dic61—22no—
496C22⋊Dic61—22no—
497C22⋊Dic61—22no—
498C22⋊Dic61—22no—
499C22⋊Dic61—41no—
500C22⋊Dic61—41no—
501C22⋊Dic61—41no—
502C22⋊Dic61—41no—
503#11758198—22no—
504#11758198—41no—
505#11758198—41no—
506#11758198—41no—
507#11758198—41no—
508#11758198—41no—
509#11758198—41no—
510#11758198—41no—
511#11758198—41no—
512#11758198—41no—
513#11758198—41no—
514#11758198—41no—
515#11758198—41no—
516#11758198—41no—
517#11758198—41no—
518#11758198—41no—
519#11758198—41no—
520#11758198—41no—
521#11758198—41no—
522#11758198—41no—
523#11758198—41no—
524#11758198—41no—
525#11758198—41no—
526#11758198—41no—
527#11758198—41no—
528#11758198—41no—
529#11758198—41no—
530#11758198—41no—
531#11758198—41no—
532#11758198—41no—
533#11758198—41no—
534C4⋊Dic61—41no—
535C4⋊Dic61—41no—
536C4⋊Dic61—41no—
537C4⋊Dic61—41no—
538C4⋊Dic61—41no—
539C4⋊Dic61—41no—
540C4⋊Dic61—41no—
541C4⋊Dic61—41no—
542C4⋊Dic61—41no—
543C4⋊Dic61—41no—
544#11758196—41no—
545#11758196—41no—
546#11758196—41no—
547#11758196—41no—
548#11758196—41no—
549#11758196—41no—
550#11758196—41no—
551C4×Dic61—22no—
552C4×Dic61—22no—
553C4×Dic61—41no—
554C4×Dic61—41no—
555C4×Dic61—41no—
556C4×Dic61—41no—
557C4×Dic61—41no—
558C23×C61—21no—
559C23×C61—21no—
560C23×C61—21no—
561C23×C61—21no—
562C23×C61—21no—
563C23×C61—21no—
564C23×C61—21no—
565C23×C61—21no—
566C23×C61—21no—
567C23×C61—21no—
568C23×C61—21no—
569C23×C61—21no—
570C23×C61—21no—
571C23×C61—21no—
572C23×C61—21no—
573C23×C61—21no—
574C23×C61—28no—
575C23×C61—44no—
576C23×C61—44no—
577C23×C61—82no—
578C23×C61—82no—
579C23×C61—82no—
580C23×C61—82no—
581C23×C61C2×#4112yes—
582C23×C61C2×#4112yes—
583C23×C61C2×#4112yes—
584C23×C61H(5,𝔽2)12yes—
585C23×C61H(5,𝔽2)12yes—
586C23×C61C2511yescharacteristic
587C22×D61—21no—
588C22×D61—21no—
589C22×D61—21no—
590C22×D61—21no—
591C22×D61—21no—
592C22×D61—21no—
593C22×D61—21no—
594C22×D61—21no—
595C22×D61—21no—
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—21no—
599C22×D61—21no—
600C22×D61—21no—
601C22×D61—21no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—21no—
606C22×D61—21no—
607C22×D61—21no—
608C22×D61—44no—
609C22×D61—82no—
610C22×D61—82no—
611C22×D61—82no—
612C22×D61—82no—
613C22×D61—82no—
614C22×D61—82no—
615Q8×C61—82no—
616C2×C4×C61—21no—
617C2×C4×C61—21no—
618C2×C4×C61—21no—
619C2×C4×C61—21no—
620C2×C4×C61—21no—
621C2×C4×C61—21no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—44no—
652C2×C4×C61—82no—
653C2×C4×C61—82no—
654C2×C4×C61—82no—
655C2×C4×C61H(5,𝔽2)12yes—
656C22⋊D61—44no—
657C22⋊D61—44no—
658C22⋊D61—44no—
659C22⋊D61—44no—
660C22⋊D61—44no—
661C22⋊D61—82no—
662C22⋊D61—82no—
663C2×Dic61—21no—
664C2×Dic61—21no—
665C2×Dic61—21no—
666C2×Dic61—21no—
667C2×Dic61—21no—
668C2×Dic61—21no—
669C2×Dic61—21no—
670C2×Dic61—21no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—44no—
703C2×Dic61—44no—
704C2×Dic61—44no—
705C2×Dic61—44no—
706C2×Dic61—82no—
707D244—82no—
708D244—82no—
709C4×D61—82no—
710#36779—611nomaximal, Sylow
711C22×C61—22no—
712C22×C61—22no—
713C22×C61—22no—
714C22×C61—22no—
715C22×C61—22no—
716C22×C61—22no—
717C22×C61—22no—
718C22×C61—22no—
719C22×C61—22no—
720C22×C61—22no—
721C22×C61—22no—
722C22×C61—22no—
723C22×C61—41no—
724C22×C61—41no—
725C22×C61—41no—
726C22×C61—41no—
727C22×C61—41no—
728C22×C61—41no—
729C22×C61—41no—
730C22×C61—41no—
731C22×C61—88no—
732C22×C61#53814yes—
733C22×C61C22×#4111yescharacteristic
734C22×C61C2×H(5,𝔽2)11yescharacteristic
735C22×C61C2×H(5,𝔽2)11yescharacteristic
736C22×C61C2×H(5,𝔽2)11yescharacteristic
737C22×C61#58511yescharacteristic
738C22×C61#58511yescharacteristic
739C22×C61#58511yescharacteristic
740C2×D61—41no—
741C2×D61—41no—
742C2×D61—41no—
743C2×D61—41no—
744C2×D61—41no—
745C2×D61—41no—
746C2×D61—41no—
747C2×D61—41no—
748C2×D61—41no—
749C2×D61—41no—
750C2×D61—41no—
751C2×D61—41no—
752C2×D61—41no—
753C2×D61—41no—
754C2×D61—41no—
755C2×D61—41no—
756C2×D61—41no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—88no—
762C4×C61—22no—
763C4×C61—41no—
764C4×C61—41no—
765C4×C61—41no—
766C4×C61—41no—
767C4×C61—41no—
768C4×C61—41no—
769C4×C61—41no—
770C4×C61—41no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774Dic61—41no—
775Dic61—41no—
776Dic61—41no—
777Dic61—41no—
778Dic61—41no—
779Dic61—41no—
780Dic61—41no—
781Dic61—41no—
782Dic61—41no—
783Dic61—41no—
784Dic61—41no—
785Dic61—41no—
786Dic61—41no—
787#2852—611no—
788#2850—611no—
789#2781—611no—
790#2781—611no—
791#2778—611no—
792#2765—611no—
793#2764—611no—
794#2761—611no—
795#2756—611no—
796#2749—611no—
797#2743—611no—
798#2741—611no—
799#2735—611no—
800#2735—611no—
801#2730—611no—
802#2702—611no—
803#2685—611no—
804#2684—611no—
805#2623—611no—
806#2618—611no—
807#2510—611no—
808#2488—611no—
809#2444—611no—
810#2437D6111yescharacteristic, complemented
811#2425—611no—
812#2412—611no—
813#2410—611no—
814#2405—611no—
815#2321—611no—
816#2308—611no—
817C2×#388—611no—
818C2×C61—24no—
819C2×C61—42no—
820C2×C61—42no—
821C2×C61C2×#53811yescharacteristic
822C2×C61#349111yescharacteristic
823C2×C61#350511yescharacteristic
824C2×C61#353411yescharacteristic
825C2×C61#354211yescharacteristic
826C2×C61#354511yescharacteristic
827C2×C61#356011yescharacteristic
828D61—81no—
829D61—81no—
830D61—81no—
831C23×D4—611no—
832C2×#126—611no—
833C2×#124—611no—
834C2×#123—611no—
835C2×#123—611no—
836C2×#123—611no—
837C2×C22⋊Q8C2×D6111yescharacteristic, complemented
838C2×C22⋊Q8C2×D6111yescharacteristic, complemented
839C2×#121—611no—
840C2×#121—611no—
841C2×#120—611no—
842C2×#120—611no—
843C2×C4×D4—611no—
844C22×C4⋊C4—611no—
845C22×C22⋊C4—611no—
846C22×C22⋊C4—611no—
847C22×C22⋊C4C2×D6111yescharacteristic
848C22×C22⋊C4C2×D6111yescharacteristic
849C22×C42—611no—
850#401—611no—
851#400—611no—
852#400—611no—
853#400—611no—
854#400—611no—
855#400—611no—
856#400—611no—
857#399—611no—
858#399—611no—
859#399C2×D6111yescharacteristic
860#398—611no—
861#398—611no—
862#398—611no—
863#398—611no—
864#398—611no—
865#397—611no—
866#397—611no—
867#397—611no—
868#397—611no—
869#397—611no—
870#397—611no—
871#397—611no—
872#397—611no—
873#397—611no—
874#397—611no—
875#396—611no—
876#396—611no—
877#396—611no—
878#396—611no—
879#396—611no—
880#396C2×D6111yescharacteristic
881#396C2×D6111yescharacteristic
882#394—611no—
883#394—611no—
884#394—611no—
885#394—611no—
886#394—611no—
887#394—611no—
888#394—611no—
889#394—611no—
890#394—611no—
891#394—611no—
892#394—611no—
893#394—611no—
894#393—611no—
895#393C2×D6111yescharacteristic
896#392—611no—
897#392—611no—
898#391—611no—
899#391—611no—
900#390—611no—
901#390—611no—
902#390—611no—
903#389—611no—
904#388—611no—
905#388—611no—
906#388—611no—
907#388—611no—
908#388—611no—
909#388—611no—
910#388—611no—
911#388—611no—
912#388—611no—
913#388—611no—
914#388—611no—
915#388—611no—
916#388—611no—
917#388—611no—
918#388—611no—
919#388—611no—
920#388—611no—
921#388—611no—
922#388—611no—
923#388—611no—
924#388—611no—
925#388—611no—
926#388—611no—
927#388—611no—
928#388—611no—
929#387—611no—
930#387—611no—
931#387—611no—
932#387—611no—
933#387—611no—
934#386—611no—
935#386—611no—
936#386—611no—
937#386—611no—
938#386—611no—
939#386—611no—
940#386—611no—
941#386—611no—
942#386—611no—
943#386—611no—
944#386—611no—
945#386—611no—
946#386—611no—
947#386—611no—
948#386—611no—
949#386—611no—
950#386—611no—
951#386—611no—
952#386—611no—
953#386—611no—
954#386—611no—
955#385—611no—
956#385—611no—
957#385—611no—
958#385—611no—
959#385—611no—
960#385C2×D6111yescharacteristic, complemented
961#385C2×D6111yescharacteristic, complemented
962#385C2×D6111yescharacteristic, complemented
963#385C2×D6111yescharacteristic, complemented
964#383—611no—
965#383—611no—
966#382—611no—
967#382—611no—
968#381—611no—
969#381—611no—
970#381—611no—
971#381—611no—
972#380—611no—
973#380—611no—
974#380—611no—
975#380C2×D6111yescharacteristic, complemented
976#380C2×D6111yescharacteristic, complemented
977#379—611no—
978#379—611no—
979#379—611no—
980#379—611no—
981#379—611no—
982#379C2×D6111yescharacteristic
983C4×C22⋊C4—611no—
984C2×#95—611no—
985C2×#95—611no—
986C61#3677911yescharacteristic, complemented, Sylow
987C25—611no—
988C25C22×D6111yescharacteristic
989C22×Q8C22×D6111yescharacteristic
990C22×D4—611no—
991C22×D4—611no—
992C22×D4—611no—
993C22×D4—611no—
994C22×D4—611no—
995C22×D4—611no—
996C22×D4—611no—
997C22×D4—611no—
998C22×D4—611no—
999C22×D4—1224no—
1000C22×D4—2442no—
1001C22×D4—2442no—
1002C23×C4—611no—
1003C23×C4—611no—
1004C23×C4—611no—
1005C23×C4—611no—
1006C23×C4—611no—
1007C23×C4—611no—
1008C23×C4C22×D6111yescharacteristic
1009C23×C4C22×D6111yescharacteristic
1010C23×C4C22×D6111yescharacteristic
1011C23×C4C22×D6111yescharacteristic
1012#126—2442no—
1013#124—2442no—
1014#123—2442no—
1015#123—2442no—
1016#123—2442no—
1017C22⋊Q8—42no—
1018C22⋊Q8—42no—
1019#121—2442no—
1020#121—2442no—
1021#120—1224no—
1022#120—2442no—
1023C4×D4—2442no—
1024C2×C4⋊C4—611no—
1025C2×C4⋊C4—611no—
1026C2×C4⋊C4—611no—
1027C2×C4⋊C4—611no—
1028C2×C4⋊C4—611no—
1029C2×C4⋊C4—611no—
1030C2×C4⋊C4—611no—
1031C2×C4⋊C4—611no—
1032C2×C4⋊C4—611no—
1033C2×C4⋊C4—611no—
1034C2×C4⋊C4—611no—
1035C2×C4⋊C4—611no—
1036C2×C4⋊C4—611no—
1037C2×C4⋊C4—611no—
1038C2×C4⋊C4—611no—
1039C2×C4⋊C4—611no—
1040C2×C4⋊C4—611no—
1041C2×C4⋊C4—2442no—
1042C2×C4⋊C4C22×D6111yescharacteristic
1043C2×C4⋊C4C22×D6111yescharacteristic
1044C2×C4⋊C4C22×D6111yescharacteristic
1045C2×C4⋊C4C22×D6111yescharacteristic
1046C2×C4⋊C4C22×D6111yescharacteristic
1047C2×C4⋊C4C22×D6111yescharacteristic
1048C2×C4⋊C4C22×D6111yescharacteristic
1049C2×C4⋊C4C22×D6111yescharacteristic
1050C2×C4⋊C4C22×D6111yescharacteristic
1051C2×C22⋊C4—42no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—611no—
1054C2×C22⋊C4—611no—
1055C2×C22⋊C4—611no—
1056C2×C22⋊C4—611no—
1057C2×C22⋊C4—611no—
1058C2×C22⋊C4—611no—
1059C2×C22⋊C4—611no—
1060C2×C22⋊C4—611no—
1061C2×C22⋊C4—611no—
1062C2×C22⋊C4—611no—
1063C2×C22⋊C4—611no—
1064C2×C22⋊C4—611no—
1065C2×C22⋊C4—611no—
1066C2×C22⋊C4—611no—
1067C2×C22⋊C4—611no—
1068C2×C22⋊C4—611no—
1069C2×C22⋊C4—611no—
1070C2×C22⋊C4—611no—
1071C2×C22⋊C4—611no—
1072C2×C22⋊C4—611no—
1073C2×C22⋊C4—611no—
1074C2×C22⋊C4—611no—
1075C2×C22⋊C4—611no—
1076C2×C22⋊C4—611no—
1077C2×C22⋊C4—611no—
1078C2×C22⋊C4—611no—
1079C2×C22⋊C4—611no—
1080C2×C22⋊C4—611no—
1081C2×C22⋊C4—611no—
1082C2×C22⋊C4—611no—
1083C2×C22⋊C4—611no—
1084C2×C22⋊C4—611no—
1085C2×C22⋊C4—611no—
1086C2×C22⋊C4—611no—
1087C2×C22⋊C4—611no—
1088C2×C22⋊C4—611no—
1089C2×C22⋊C4—611no—
1090C2×C22⋊C4—611no—
1091C2×C22⋊C4—611no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—1224no—
1096C2×C22⋊C4—2442no—
1097C2×C22⋊C4C22×D6111yescharacteristic
1098C2×C22⋊C4C22×D6111yescharacteristic
1099C2×C22⋊C4C22×D6111yescharacteristic
1100C2×C22⋊C4C22×D6111yescharacteristic
1101C2×C22⋊C4C22×D6111yescharacteristic
1102C2×C22⋊C4C22×D6111yescharacteristic
1103C2×C22⋊C4C22×D6111yescharacteristic
1104C2×C22⋊C4C22×D6111yescharacteristic
1105C2×C22⋊C4C22×D6111yescharacteristic
1106C2×C22⋊C4C22×D6111yescharacteristic
1107C2×C22⋊C4C22×D6111yescharacteristic
1108C2×C22⋊C4C22×D6111yescharacteristic
1109C2×C22⋊C4C22×D6111yescharacteristic
1110C2×C22⋊C4C22×D6111yescharacteristic
1111C2×C42—611no—
1112C2×C42—611no—
1113C2×C42—611no—
1114C2×C42—611no—
1115C2×C42—611no—
1116C2×C42—611no—
1117C2×C42—611no—
1118C2×C42—2442no—
1119#95—611no—
1120#95—611no—
1121#95—611no—
1122#95—611no—
1123#95—611no—
1124#95—611no—
1125#95—611no—
1126#95—611no—
1127#95—611no—
1128#95—611no—
1129#95—611no—
1130#95—611no—
1131#95—611no—
1132#95—611no—
1133#95—611no—
1134#95—611no—
1135#95—611no—
1136#95—611no—
1137#95—611no—
1138#95—611no—
1139#95—611no—
1140#95—611no—
1141#95—611no—
1142#95—611no—
1143#95—611no—
1144#95—611no—
1145#95—611no—
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95—611no—
1150#95—611no—
1151#95—611no—
1152#95—611no—
1153#95—611no—
1154#95—611no—
1155#95—611no—
1156#95—611no—
1157#95C22×D6111yescharacteristic
1158#95C22×D6111yescharacteristic
1159#95C22×D6111yescharacteristic
1160#95C22×D6111yescharacteristic
1161#95C22×D6111yescharacteristic
1162#95C22×D6111yescharacteristic
1163C24—22no—
1164C24—22no—
1165C24—41no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—611no—
1170C24—611no—
1171C24—611no—
1172C24—1222no—
1173C24—2441no—
1174C24—2441no—
1175C24—2441no—
1176C24—2441no—
1177C24—2441no—
1178C24—2441no—
1179C24#1175822614yes—
1180C24C23×D6111yescharacteristic
1181C24C23×D6111yescharacteristic
1182C24C23×D6111yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—1222no—
1187C2×D4—1222no—
1188C2×D4—1222no—
1189C2×D4—1222no—
1190C2×D4—1222no—
1191C2×D4—1222no—
1192C2×D4—1222no—
1193C2×D4—1222no—
1194C2×D4—1222no—
1195C2×D4—1222no—
1196C2×D4—1222no—
1197C2×D4—1222no—
1198C2×D4—1222no—
1199C2×D4—1222no—
1200C2×D4—2441no—
1201C2×D4—2441no—
1202C2×D4—2441no—
1203C2×D4—2441no—
1204C2×D4—2441no—
1205C2×D4—2441no—
1206C2×D4—2441no—
1207C2×D4—2441no—
1208C2×D4—2441no—
1209C2×D4—2441no—
1210C2×D4—2441no—
1211C2×D4—2441no—
1212C2×D4—2441no—
1213C2×D4—24416no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—611no—
1227C22×C4—611no—
1228C22×C4—611no—
1229C22×C4—611no—
1230C22×C4—611no—
1231C22×C4—611no—
1232C22×C4—611no—
1233C22×C4—611no—
1234C22×C4—611no—
1235C22×C4—611no—
1236C22×C4—611no—
1237C22×C4—611no—
1238C22×C4—611no—
1239C22×C4—1222no—
1240C22×C4—1222no—
1241C22×C4—1222no—
1242C22×C4—1222no—
1243C22×C4—1222no—
1244C22×C4—1222no—
1245C22×C4—1222no—
1246C22×C4—2441no—
1247C22×C4—2441no—
1248C22×C4—2441no—
1249C22×C4—2441no—
1250C22×C4—2441no—
1251C22×C4—2441no—
1252C22×C4—2441no—
1253C22×C4—2441no—
1254C22×C4—2441no—
1255C22×C4—2441no—
1256C22×C4—2441no—
1257C22×C4C23×D6111yescharacteristic
1258C22×C4C23×D6111yescharacteristic
1259C22×C4C23×D6111yescharacteristic
1260C22×C4C23×D6111yescharacteristic
1261C22×C4C23×D6111yescharacteristic
1262C22×C4C23×D6111yescharacteristic
1263C22×C4C23×D6111yescharacteristic
1264C22×C4C23×D6111yescharacteristic
1265C22×C4C23×D6111yescharacteristic
1266C22×C4C23×D6111yescharacteristic
1267C22×C4C23×D6111yescharacteristic
1268C22×C4C23×D6111yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—2441no—
1279C4⋊C4—2441no—
1280C4⋊C4—2441no—
1281C4⋊C4—2441no—
1282C4⋊C4—2441no—
1283C4⋊C4—2441no—
1284C4⋊C4—2441no—
1285C4⋊C4—2441no—
1286C4⋊C4—2441no—
1287C4⋊C4—2441no—
1288C4⋊C4—2441no—
1289C4⋊C4—2441no—
1290C4⋊C4—2441no—
1291C4⋊C4—2441no—
1292C4⋊C4—2441no—
1293C4⋊C4—2441no—
1294C4⋊C4—2441no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—1222no—
1310C22⋊C4—1222no—
1311C22⋊C4—1222no—
1312C22⋊C4—1222no—
1313C22⋊C4—1222no—
1314C22⋊C4—1222no—
1315C22⋊C4—1222no—
1316C22⋊C4—1222no—
1317C22⋊C4—2441no—
1318C22⋊C4—2441no—
1319C22⋊C4—2441no—
1320C22⋊C4—2441no—
1321C22⋊C4—2441no—
1322C22⋊C4—2441no—
1323C22⋊C4—2441no—
1324C22⋊C4—2441no—
1325C22⋊C4—2441no—
1326C22⋊C4—2441no—
1327C22⋊C4—2441no—
1328C22⋊C4—2441no—
1329C22⋊C4—2441no—
1330C22⋊C4—2441no—
1331C22⋊C4—2441no—
1332C22⋊C4—2441no—
1333C22⋊C4—2441no—
1334C22⋊C4—2441no—
1335C22⋊C4—2441no—
1336C22⋊C4—2441no—
1337C22⋊C4—2441no—
1338C22⋊C4—2441no—
1339C22⋊C4—2441no—
1340C22⋊C4—2441no—
1341C22⋊C4—2441no—
1342C22⋊C4—2441no—
1343C22⋊C4—2441no—
1344C22⋊C4—2441no—
1345C22⋊C4—2441no—
1346C22⋊C4—2441no—
1347C22⋊C4—2441no—
1348C22⋊C4—2441no—
1349C22⋊C4—2441no—
1350C22⋊C4—2441no—
1351C42—1222no—
1352C42—1222no—
1353C42—2441no—
1354C42—2441no—
1355C42—2441no—
1356C42—2441no—
1357C42—2441no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—28no—
1375C23—44no—
1376C23—44no—
1377C23—82no—
1378C23—82no—
1379C23—82no—
1380C23—82no—
1381C23—1221no—
1382C23—1221no—
1383C23—1221no—
1384C23—1221no—
1385C23—1221no—
1386C23—1221no—
1387C23—1221no—
1388C23—1221no—
1389C23—1221no—
1390C23—1221no—
1391C23—1221no—
1392C23—1221no—
1393C23—1221no—
1394C23—1221no—
1395C23—1221no—
1396C23—1221no—
1397C23—1221no—
1398C23—1221no—
1399C23—1221no—
1400C23—1221no—
1401C23—1221no—
1402C23—4882no—
1403C23—4882no—
1404C23—4882no—
1405C23—4882no—
1406C23—4882no—
1407C23—4882no—
1408C23—2444no—
1409C23C2×#1175822612yes—
1410C23C2×#1175822612yes—
1411C23C2×#1175822612yes—
1412C23#1451982212yes—
1413C23#1451982312yes—
1414C23C24×D6111yescharacteristic
1415Q8—82no—
1416D4—4882no—
1417D4—4882no—
1418D4—4882no—
1419D4—4882no—
1420D4—2444no—
1421D4—2444no—
1422D4—2444no—
1423D4—2444no—
1424D4—2444no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—44no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—1221no—
1465C2×C4—1221no—
1466C2×C4—1221no—
1467C2×C4—1221no—
1468C2×C4—1221no—
1469C2×C4—1221no—
1470C2×C4—1221no—
1471C2×C4—1221no—
1472C2×C4—1221no—
1473C2×C4—1221no—
1474C2×C4—1221no—
1475C2×C4—1221no—
1476C2×C4—1221no—
1477C2×C4—1221no—
1478C2×C4—1221no—
1479C2×C4—1221no—
1480C2×C4—1221no—
1481C2×C4—1221no—
1482C2×C4—1221no—
1483C2×C4—1221no—
1484C2×C4—1221no—
1485C2×C4—1221no—
1486C2×C4—1221no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1221no—
1494C2×C4—1221no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—4882no—
1504C2×C4—4882no—
1505C2×C4—2444no—
1506C2×C4—2444no—
1507C2×C4—2444no—
1508C2×C4—2444no—
1509C2×C4#1451982212yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—88no—
1531C22—4888no—
1532C22—2441no—
1533C22—2441no—
1534C22—2441no—
1535C22—2441no—
1536C22—2441no—
1537C22—2441no—
1538C22—2441no—
1539C22—2441no—
1540C22—2441no—
1541C22—2441no—
1542C22—2441no—
1543C22—2441no—
1544C22—2441no—
1545C22—2441no—
1546C22—2441no—
1547C22—2441no—
1548C22—2441no—
1549C22—2441no—
1550C22—2441no—
1551C22—2441no—
1552C22—2441no—
1553C22#1684035214yes—
1554C22C22×#1175822611yescharacteristic
1555C22C2×#1451982211yescharacteristic
1556C22C2×#1451982211yescharacteristic
1557C22C2×#1451982311yescharacteristic
1558C22#1684059711yescharacteristic
1559C22#1684059711yescharacteristic
1560C22#1684059811yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—2441no—
1574C4—2441no—
1575C4—2441no—
1576C4—2441no—
1577C4—2441no—
1578C4—2441no—
1579C4—2441no—
1580C4—2441no—
1581C4—2441no—
1582C4—2441no—
1583C4—2441no—
1584C4—2441no—
1585C4—2441no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—4881no—
1590C2—4881no—
1591C2—4881no—
1592C2C2×#1684035211yescharacteristic
1593C2#2145951811yescharacteristic
1594C2#2145966011yescharacteristic
1595C2#2145999711yescharacteristic
1596C2#2146012111yescharacteristic
1597C2#2146017511yescharacteristic
1598C2#2146035911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2437C2
prime radical#21449187C2
hypercenter#2437D61
hypocenterC61#36779
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. #21454136C2semidirect
2. #21454122C2semidirect
3. #21453476C2semidirect
4. #21453476C2semidirect
5. #21453431C2semidirect
6. #21453260C2semidirect
7. #21453245C2semidirect
8. #21453212C2semidirect
9. #21453142C2semidirect
10. #21453043C2semidirect
11. #21452965C2semidirect
12. #21452930C2semidirect
13. #21452862C2semidirect
14. #21452861C2semidirect
15. #21452810C2semidirect
16. #21452443C2semidirect
17. #21452217C2semidirect
18. #21452202C2semidirect
19. #21451605C2semidirect
20. #21451564C2semidirect
21. #21450375C2semidirect
22. #21450151C2semidirect
23. #21449573C2semidirect
24. #21449368C2semidirect
25. #21449209C2semidirect
27. #21449147C2semidirect
28. #21448474C2semidirect
29. #21448394C2semidirect
30. C2×#16839650C2semidirect
31. C61×#2437C2semidirect
33. C2×#14519772C22semidirect
34. C2×#14519766C22semidirect
37. C2×#14519761C22semidirect
42. C2×#14519737C22semidirect
43. C22×#11758196C22semidirect
46. C22×C4×Dic61C22semidirect
47. C61⋊#401C22semidirect
48. #16839704C22semidirect
49. #16839704C22semidirect
50. #16839704C22semidirect
51. #16839701C22semidirect
52. #16839701C22semidirect
53. #16839701C22semidirect
54. #16839697C22semidirect
55. #16839697C22semidirect
56. #16839695C22semidirect
57. #16839695C22semidirect
58. #16839694C22semidirect
59. #16839694C22semidirect
60. #16839694C22semidirect
61. #16839691C22semidirect
62. #16839691C22semidirect
63. #16839691C22semidirect
64. #16839689C22semidirect
65. #16839689C22semidirect
66. #16839688C22semidirect
67. #16839688C22semidirect
68. #16839688C22semidirect
71. #16839684C22semidirect
72. #16839684C22semidirect
73. #16839684C22semidirect
74. #16839684C22semidirect
75. #16839684C22semidirect
76. #16839680C22semidirect
77. #16839680C22semidirect
78. #16839679C22semidirect
79. #16839679C22semidirect
88. #16839673C22semidirect
91. #16839669C22semidirect
92. #16839669C22semidirect
93. #16839663C22semidirect
95. #16839662C22semidirect
96. #16839661C22semidirect
98. #16839656C22semidirect
99. #16839654C22semidirect
100. #16839654C22semidirect
101. #16839654C22semidirect
102. #16839652C22semidirect
103. #16839652C22semidirect
104. #16839652C22semidirect
105. #16839652C22semidirect
106. #16839652C22semidirect
107. #16839652C22semidirect
108. #16839652C22semidirect
109. #16839652C22semidirect
110. #16839652C22semidirect
111. #16839651C22semidirect
117. #16839650C22semidirect
118. #16839650C22semidirect
119. #16839650C22semidirect
120. #16839650C22semidirect
121. #16839650C22semidirect
122. #16839648C22semidirect
123. #16839648C22semidirect
124. #16839648C22semidirect
125. #16839645C22semidirect
126. #16839643C22semidirect
133. #16839641C22semidirect
134. #16839641C22semidirect
135. #16839640C22semidirect
136. #16839640C22semidirect
144. #16839639C22semidirect
145. #16839639C22semidirect
147. #16839638C22semidirect
151. #16839637C22semidirect
152. #16839634C22semidirect
153. #16839629C22semidirect
154. #16839629C22semidirect
155. #16839627C22semidirect
156. #16839627C22semidirect
157. #16839624C22semidirect
160. #16839623C22semidirect
161. #16839622C22semidirect
162. #16839622C22semidirect
163. #16839619C22semidirect
169. C22⋊C4×Dic61C22semidirect
170. C2×#14519684C22semidirect
171. C2×#14519684C22semidirect
172. C2×C22⋊Q8×C61C22semidirect
173. C2×C22⋊Q8×C61C22semidirect
180. C61×#385C22semidirect
181. C61×#385C22semidirect
182. C61×#385C22semidirect
183. C61×#385C22semidirect
184. C61×#380C22semidirect
185. C61×#380C22semidirect
810. #2437D61semidirect
837. C2×C22⋊Q8C2×D61semidirect
838. C2×C22⋊Q8C2×D61semidirect
960. #385C2×D61semidirect
961. #385C2×D61semidirect
962. #385C2×D61semidirect
963. #385C2×D61semidirect
975. #380C2×D61semidirect
976. #380C2×D61semidirect
986. C61#36779semidirect

Maximal subgroups

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

subgroupindex
#214541362
#214541222
#214534762
#214534312
#214532602
#214532452
#214532122
#214531422
#214530432
#214529652
#214529302
#214528622
#214528612
#214528102
#214524432
#214522172
#214522022
#214516052
#214515642
#214503752
#214501512
#214495732
#214493682
#214492092
#214491872
#214491472
#214484742
#214483942
C2×#168396502
C61×#24372
#3677961