Finite Group Databasebeta

← #29888813

Subgroups — #29888813

Order 15616.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454111C211yesmaximal, characteristic, complemented
2#21454101C211yesmaximal, characteristic, complemented
3#21453761C211yesmaximal, characteristic, complemented
4#21453680C211yesmaximal, characteristic, complemented
5#21453565C211yesmaximal, characteristic, complemented
6#21453518C211yesmaximal, characteristic, complemented
7#21453465C211yesmaximal, characteristic, complemented
8#21453431C211yesmaximal, characteristic, complemented
9#21453076C211yesmaximal, characteristic, complemented
10#21453061C211yesmaximal, characteristic, complemented
11#21452992C211yesmaximal, characteristic, complemented
12#21452616C211yesmaximal, characteristic, complemented
13#21452565C211yesmaximal, characteristic, complemented
14#21452541C211yesmaximal, characteristic, complemented
15#21452538C211yesmaximal, characteristic, complemented
16#21452358C211yesmaximal, characteristic, complemented
17#21452229C211yesmaximal, characteristic, complemented
18#21452185C211yesmaximal, characteristic, complemented
19#21451772C211yesmaximal, characteristic, complemented
20#21451747C211yesmaximal, characteristic, complemented
21#21450074C211yesmaximal, characteristic, complemented
22#21449939C211yesmaximal, characteristic, complemented
23#21449554C211yesmaximal, characteristic, complemented
24#21449495C211yesmaximal, characteristic, complemented
25#21449429C211yesmaximal, characteristic, complemented
26#21449355C211yesmaximal, characteristic, complemented
27#21449204C211yesmaximal, characteristic, complemented
28#21449138C211yesmaximal, characteristic, complemented
29#21448488C211yesmaximal, characteristic, complemented
30#21448412C211yesmaximal, characteristic, complemented
31C2×C61×#385C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C2×#14519772C2211yescharacteristic, complemented
34C2×#14519763C2211yescharacteristic
35C2×#14519762C2211yescharacteristic, complemented
36C2×#14519760C2211yescharacteristic
37C2×#14519760C2211yescharacteristic
38C2×#14519760C2211yescharacteristic
39C2×#14519756C2211yescharacteristic
40C2×#14519751C2211yescharacteristic
41C2×#14519751C2211yescharacteristic
42C2×#14519751C2211yescharacteristic
43C2×#14519751C2211yescharacteristic
44C2×#14519750C2211yescharacteristic
45C2×#14519746C2211yescharacteristic
46C2×#14519746C2211yescharacteristic
47C2×#14519746C2211yescharacteristic
48C2×C4×C22⋊D61C2211yescharacteristic
49C2×#14519736C2211yescharacteristic
50C61⋊#401C2211yescharacteristic, complemented
51#16839704C2211yescharacteristic, complemented
52#16839703C2211yescharacteristic, complemented
53#16839703C2211yescharacteristic, complemented
54#16839703C2211yescharacteristic, complemented
55#16839702C2211yescharacteristic, complemented
56#16839702C2211yescharacteristic, complemented
57#16839701C2211yescharacteristic, complemented
58#16839700C2211yescharacteristic, complemented
59#16839697C2211yescharacteristic, complemented
60#16839696C2211yescharacteristic, complemented
61#16839695C2211yescharacteristic, complemented
62#16839694C2211yescharacteristic, complemented
63#16839691C2211yescharacteristic, complemented
64#16839691C2211yescharacteristic, complemented
65#16839691C2211yescharacteristic, complemented
66#16839690C2211yescharacteristic
67#16839689C2211yescharacteristic, complemented
68#16839689C2211yescharacteristic, complemented
69#16839688C2211yescharacteristic, complemented
70#16839688C2211yescharacteristic, complemented
71#16839686C2211yescharacteristic, complemented
72#16839685C2211yescharacteristic
73#16839685C2211yescharacteristic
74#16839685C2211yescharacteristic
75#16839684C2211yescharacteristic, complemented
76#16839683C2211yescharacteristic, complemented
77#16839683C2211yescharacteristic, complemented
78#16839680C2211yescharacteristic, complemented
79#16839680C2211yescharacteristic, complemented
80#16839680C2211yescharacteristic, complemented
81#16839679C2211yescharacteristic, complemented
82#16839678C2211yescharacteristic
83#16839678C2211yescharacteristic
84#16839678C2211yescharacteristic
85#16839677C2211yescharacteristic
86#16839677C2211yescharacteristic
87#16839677C2211yescharacteristic
88#16839675C2211yescharacteristic, complemented
89#16839675C2211yescharacteristic, complemented
90#16839675C2211yescharacteristic, complemented
91#16839674C2211yescharacteristic
92#16839674C2211yescharacteristic
93#16839674C2211yescharacteristic
94#16839672C2211yescharacteristic, complemented
95#16839671C2211yescharacteristic
96#16839671C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839667C2211yescharacteristic, complemented
99#16839667C2211yescharacteristic, complemented
100#16839666C2211yescharacteristic, complemented
101#16839663C2211yescharacteristic, complemented
102#16839663C2211yescharacteristic, complemented
103#16839662C2211yescharacteristic
104#16839662C2211yescharacteristic
105#16839662C2211yescharacteristic
106#16839662C2211yescharacteristic
107#16839659C2211yescharacteristic, complemented
108#16839657C2211yescharacteristic, complemented
109#16839657C2211yescharacteristic, complemented
110#16839656C2211yescharacteristic
111#16839656C2211yescharacteristic
112#16839655C2211yescharacteristic
113#16839655C2211yescharacteristic
114#16839652C2211yescharacteristic, complemented
115#16839652C2211yescharacteristic, complemented
116#16839652C2211yescharacteristic, complemented
117#16839652C2211yescharacteristic, complemented
118#16839650C2211yescharacteristic
119#16839649C2211yescharacteristic, complemented
120#16839648C2211yescharacteristic, complemented
121#16839648C2211yescharacteristic, complemented
122#16839645C2211yescharacteristic, complemented
123#16839643C2211yescharacteristic, complemented
124#16839643C2211yescharacteristic, complemented
125#16839643C2211yescharacteristic, complemented
126#16839641C2211yescharacteristic
127#16839641C2211yescharacteristic
128#16839641C2211yescharacteristic
129#16839641C2211yescharacteristic
130#16839641C2211yescharacteristic
131#16839641C2211yescharacteristic
132#16839641C2211yescharacteristic
133#16839641C2211yescharacteristic
134#16839641C2211yescharacteristic
135#16839641C2211yescharacteristic
136#16839641C2211yescharacteristic
137#16839641C2211yescharacteristic
138#16839641C2211yescharacteristic
139#16839641C2211yescharacteristic
140#16839641C2211yescharacteristic
141#16839641C2211yescharacteristic
142#16839640C2211yescharacteristic, complemented
143#16839640C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic
145#16839638C2211yescharacteristic
146#16839638C2211yescharacteristic
147#16839638C2211yescharacteristic
148#16839638C2211yescharacteristic
149#16839636C2211yescharacteristic, complemented
150#16839636C2211yescharacteristic, complemented
151#16839635C2211yescharacteristic
152#16839635C2211yescharacteristic
153#16839635C2211yescharacteristic
154#16839635C2211yescharacteristic
155#16839635C2211yescharacteristic
156#16839635C2211yescharacteristic
157#16839633C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic, complemented
159#16839633C2211yescharacteristic, complemented
160#16839625C2211yescharacteristic
161#16839625C2211yescharacteristic
162#16839625C2211yescharacteristic
163#16839622C2211yescharacteristic
164#16839622C2211yescharacteristic
165#16839622C2211yescharacteristic
166#16839619C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic, complemented
168#16839619C2211yescharacteristic, complemented
169#16839619C2211yescharacteristic, complemented
170#16839618C2211yescharacteristic
171C4×C22⋊Dic61C2211yescharacteristic
172C24×C4×C61C2211yescharacteristic
173C22×C4⋊C4×C61C2211yescharacteristic
174C22×C4⋊C4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C22×C22⋊C4×C61C2211yescharacteristic
177C61×#385C2211yescharacteristic
178C61×#385C2211yescharacteristic
179C61×#385C2211yescharacteristic
180C61×#385C2211yescharacteristic
181C61×#385C2211yescharacteristic
182C61×#385C2211yescharacteristic
183C61×#385C2211yescharacteristic
184C61×#385C2211yescharacteristic
185C2×#95×C61C2211yescharacteristic
186C2×#95×C61C2211yescharacteristic
187C2×#11758222—24no—
188C2×#11758222—42no—
189C2×#11758222—42no—
190C22×Dic122C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207#14519772—42no—
208#14519763—42no—
209#14519762—42no—
210#14519760—24no—
211#14519760—42no—
212#14519760—42no—
213#14519756—42no—
214#14519751—42no—
215#14519751—42no—
216#14519751—42no—
217#14519751—42no—
218#14519750—42no—
219#14519746—42no—
220#14519746—42no—
221#14519746—42no—
222C4×C22⋊D61—42no—
223#14519736—42no—
224C2×C4⋊Dic61C2311yescharacteristic
225C2×C4⋊Dic61C2311yescharacteristic
226C2×C4⋊Dic61C2311yescharacteristic
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×C22⋊Dic61C2311yescharacteristic
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
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×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×C4×Dic61C2311yescharacteristic
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
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
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327C25×C61C2311yescharacteristic
328C23×C4×C61—42no—
329C23×C4×C61—42no—
330C23×C4×C61—42no—
331C23×C4×C61C2311yescharacteristic
332C23×C4×C61C2311yescharacteristic
333C23×C4×C61C2311yescharacteristic
334C23×C4×C61C2311yescharacteristic
335C23×C4×C61C2311yescharacteristic
336C23×C4×C61C2311yescharacteristic
337C23×C4×C61C2311yescharacteristic
338C23×C4×C61C2311yescharacteristic
339C23×C4×C61C2311yescharacteristic
340C23×C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61—42no—
342C2×C4⋊C4×C61—42no—
343C2×C4⋊C4×C61C2311yescharacteristic
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61—24no—
352C2×C22⋊C4×C61—42no—
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369C24×C61—22no—
370C24×C61—22no—
371C24×C61—22no—
372C24×C61—22no—
373C24×C61—22no—
374C24×C61—41no—
375C24×C61—41no—
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C23×D61C2411yescharacteristic
380C23×D61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C22×C4×C61—22no—
383C22×C4×C61—22no—
384C22×C4×C61—22no—
385C22×C4×C61—22no—
386C22×C4×C61—22no—
387C22×C4×C61—22no—
388C22×C4×C61—22no—
389C22×C4×C61—22no—
390C22×C4×C61—22no—
391C22×C4×C61—22no—
392C22×C4×C61—22no—
393C22×C4×C61—22no—
394C22×C4×C61—41no—
395C22×C4×C61—41no—
396C22×C4×C61—41no—
397C22×C4×C61—41no—
398C22×C4×C61—41no—
399C22×C4×C61—41no—
400C22×C4×C61—41no—
401C22×C4×C61—41no—
402C22×C4×C61—41no—
403C22×C4×C61—41no—
404C22×C4×C61—41no—
405C22×C4×C61—41no—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61—41no—
409C22×C4×C61—41no—
410C22×C4×C61—41no—
411C22×C4×C61—416no—
412C22×C4×C61#4114yes—
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—22no—
430C2×C22⋊D61—22no—
431C2×C22⋊D61—22no—
432C2×C22⋊D61—22no—
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465#11758222—416no—
466C2×D244—22no—
467C2×D244—22no—
468C2×D244—41no—
469C2×D244—41no—
470C2×D244—41no—
471C2×D244—41no—
472C2×D244—41no—
473C2×D244—41no—
474C2×D244—41no—
475C2×C4×D61—22no—
476C2×C4×D61—22no—
477C2×C4×D61—41no—
478C2×C4×D61—41no—
479C2×C4×D61—41no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C2×C4×D61—41no—
484C2×Dic122—22no—
485C2×Dic122—41no—
486C2×Dic122—41no—
487C2×Dic122—41no—
488C2×Dic122—41no—
489C2×Dic122—41no—
490C4⋊C4×C61—22no—
491C4⋊C4×C61—22no—
492C4⋊C4×C61—41no—
493C4⋊C4×C61—41no—
494C4⋊C4×C61—41no—
495C4⋊C4×C61—41no—
496C4⋊C4×C61—41no—
497C4⋊C4×C61—41no—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—22no—
500C22⋊C4×C61—22no—
501C22⋊C4×C61—22no—
502C22⋊C4×C61—22no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61—41no—
505C22⋊C4×C61—41no—
506C22⋊Dic61—22no—
507C22⋊Dic61—22no—
508C22⋊Dic61—22no—
509C22⋊Dic61—22no—
510C22⋊Dic61—22no—
511C22⋊Dic61—22no—
512C22⋊Dic61—22no—
513C22⋊Dic61—41no—
514C22⋊Dic61—41no—
515C22⋊Dic61—41no—
516C22⋊Dic61—41no—
517C22⋊Dic61—41no—
518C22⋊Dic61—41no—
519C22⋊Dic61—41no—
520C22⋊Dic61—41no—
521#11758198—22no—
522#11758198—22no—
523#11758198—22no—
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—
534#11758198—41no—
535#11758198—41no—
536#11758198—41no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198—41no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548C4⋊Dic61—22no—
549C4⋊Dic61—41no—
550C4⋊Dic61—41no—
551C4⋊Dic61—41no—
552C4⋊Dic61—41no—
553C4⋊Dic61—41no—
554C4⋊Dic61—41no—
555#11758196—22no—
556#11758196—22no—
557#11758196—22no—
558#11758196—41no—
559#11758196—41no—
560#11758196—41no—
561#11758196—41no—
562#11758196—41no—
563#11758196—41no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
567#11758196—41no—
568C4×Dic61—41no—
569C4×Dic61—41no—
570C4×Dic61—41no—
571C4×Dic61—41no—
572C4×Dic61—41no—
573C23×C61—21no—
574C23×C61—21no—
575C23×C61—21no—
576C23×C61—21no—
577C23×C61—28no—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—44no—
591C23×C61—44no—
592C23×C61—44no—
593C23×C61—44no—
594C23×C61—44no—
595C23×C61—44no—
596C23×C61C2×#4112yes—
597C23×C61H(5,𝔽2)12yes—
598C23×C61H(5,𝔽2)12yes—
599C23×C61H(5,𝔽2)12yes—
600C23×C612−1+412yes—
601C23×C61C2511yescharacteristic
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—21no—
606C22×D61—21no—
607C22×D61—21no—
608C22×D61—21no—
609C22×D61—21no—
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61—21no—
621C22×D61—21no—
622C22×D61—21no—
623C2×C4×C61—28no—
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—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—44no—
658C2×C4×C61—44no—
659C2×C4×C61—44no—
660C2×C4×C61—44no—
661C2×C4×C61—44no—
662C2×C4×C61—44no—
663C2×C4×C61—44no—
664C2×C4×C61—82no—
665C2×C4×C61—82no—
666C2×C4×C61C2×#4112yes—
667C2×C4×C61C2×#4112yes—
668C2×C4×C61H(5,𝔽2)12yes—
669C22⋊D61—44no—
670C22⋊D61—44no—
671C22⋊D61—44no—
672C22⋊D61—82no—
673C22⋊D61—82no—
674C22⋊D61—82no—
675C22⋊D61—82no—
676C22⋊D61—82no—
677C22⋊D61—82no—
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—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717D244—44no—
718D244—82no—
719D244—82no—
720C4×D61—44no—
721C4×D61—44no—
722C4×D61—82no—
723Dic122—44no—
724Dic122—82no—
725#36791—611nomaximal, Sylow
726C22×C61—22no—
727C22×C61—22no—
728C22×C61—22no—
729C22×C61—22no—
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—22no—
734C22×C61—22no—
735C22×C61—22no—
736C22×C61—22no—
737C22×C61—22no—
738C22×C61—416no—
739C22×C61—41no—
740C22×C61—41no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61—41no—
745C22×C61—41no—
746C22×C61—41no—
747C22×C61#53814yes—
748C22×C61C22×#4111yescharacteristic
749C22×C61C2×H(5,𝔽2)11yescharacteristic
750C22×C61C2×H(5,𝔽2)11yescharacteristic
751C22×C61C2×H(5,𝔽2)11yescharacteristic
752C22×C61C2×H(5,𝔽2)11yescharacteristic
753C22×C61C2×2−1+411yescharacteristic
754C22×C61#58511yescharacteristic
755C2×D61—41no—
756C2×D61—41no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C2×D61—41no—
766C2×D61—41no—
767C2×D61—41no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C2×D61—41no—
774C2×D61—41no—
775C2×D61—41no—
776C4×C61—22no—
777C4×C61—22no—
778C4×C61—22no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801#2849—611no—
802#2847—611no—
803#2804—611no—
804#2797—611no—
805#2788—611no—
806#2784—611no—
807#2780—611no—
808#2778—611no—
809#2751—611no—
810#2750—611no—
811#2745—611no—
812#2714—611no—
813#2710—611no—
814#2708—611no—
815#2708—611no—
816#2695—611no—
817#2686—611no—
818#2682—611no—
819#2643—611no—
820#2639—611no—
821#2481—611no—
822#2472—611no—
823#2443—611no—
824#2438—611no—
825#2430—611no—
826#2424—611no—
827#2411—611no—
828#2404—611no—
829#2322—611no—
830#2311—611no—
831C2×#385D6111yescharacteristic, complemented
832C2×C61—24no—
833C2×C61—42no—
834C2×C61—42no—
835C2×C61C2×#53811yescharacteristic
836C2×C61#349211yescharacteristic
837C2×C61#350611yescharacteristic
838C2×C61#353211yescharacteristic
839C2×C61#353411yescharacteristic
840C2×C61#353511yescharacteristic
841C2×C61#353611yescharacteristic
842D61—81no—
843D61—81no—
844D61—81no—
845C22×#41—611no—
846C24×C4C2×D6111yescharacteristic
847C2×#126—611no—
848C2×#124—611no—
849C2×#123—611no—
850C2×#123—611no—
851C2×#123—611no—
852C2×#123—611no—
853C2×C22⋊Q8—611no—
854C2×#121—611no—
855C2×#121—611no—
856C2×#121—611no—
857C2×#121—611no—
858C2×#121—611no—
859C2×#120—611no—
860C2×#120—611no—
861C2×#120—611no—
862C2×C4×D4—611no—
863C2×#117—611no—
864C22×C4⋊C4C2×D6111yescharacteristic
865C22×C4⋊C4C2×D6111yescharacteristic
866C22×C22⋊C4C2×D6111yescharacteristic
867C22×C22⋊C4C2×D6111yescharacteristic
868#401—611no—
869#400—611no—
870#400—611no—
871#400—611no—
872#400—611no—
873#400—611no—
874#400—611no—
875#400—611no—
876#400—611no—
877#399—611no—
878#398—611no—
879#398—611no—
880#398—611no—
881#397—611no—
882#397—611no—
883#397—611no—
884#397—611no—
885#397—611no—
886#397—611no—
887#397—611no—
888#397—611no—
889#396—611no—
890#396—611no—
891#396—611no—
892#396—611no—
893#396—611no—
894#395—611no—
895#395—611no—
896#394—611no—
897#394—611no—
898#394—611no—
899#394—611no—
900#394—611no—
901#394—611no—
902#394—611no—
903#394—611no—
904#394—611no—
905#394—611no—
906#393—611no—
907#393—611no—
908#393—611no—
909#393—611no—
910#393—611no—
911#393—611no—
912#392—611no—
913#392—611no—
914#392—611no—
915#392—611no—
916#391—611no—
917#391—611no—
918#391—611no—
919#390—611no—
920#390—611no—
921#390—611no—
922#390—611no—
923#390—611no—
924#390—611no—
925#389—611no—
926#389—611no—
927#389—611no—
928#388—611no—
929#388—611no—
930#388—611no—
931#388—611no—
932#388—611no—
933#388—611no—
934#388—611no—
935#388—611no—
936#388—611no—
937#387—611no—
938#387—611no—
939#387—611no—
940#387—611no—
941#387—611no—
942#387—611no—
943#387—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#386—611no—
956#386—611no—
957#386—611no—
958#386—611no—
959#386—611no—
960#386—611no—
961#386—611no—
962#386—611no—
963#386—611no—
964#386—611no—
965#386—611no—
966#386—611no—
967#385—611no—
968#385—611no—
969#385—611no—
970#385—611no—
971#385—611no—
972#385—611no—
973#385—611no—
974#385—611no—
975#385—611no—
976#385—611no—
977#385—611no—
978#385C2×D6111yescharacteristic
979#385C2×D6111yescharacteristic
980#385C2×D6111yescharacteristic
981#385C2×D6111yescharacteristic
982#385C2×D6111yescharacteristic
983#385C2×D6111yescharacteristic
984#385C2×D6111yescharacteristic
985#385C2×D6111yescharacteristic
986#381—611no—
987#381—611no—
988#381—611no—
989#380—611no—
990#380—611no—
991#380—611no—
992#380—611no—
993#380—611no—
994#380—611no—
995#380—611no—
996#379—611no—
997C4×C22⋊C4—611no—
998C2×#95C2×D6111yescharacteristic
999C2×#95C2×D6111yescharacteristic
1000C61#3679111yescharacteristic, complemented, Sylow
1001C25C22×D6111yescharacteristic
1002C2×#41—1224no—
1003C2×#41—2442no—
1004C2×#41—2442no—
1005C22×Q8—611no—
1006C22×Q8—611no—
1007C22×D4—611no—
1008C22×D4—611no—
1009C22×D4—611no—
1010C22×D4—611no—
1011C22×D4—611no—
1012C22×D4—611no—
1013C22×D4—611no—
1014C22×D4—611no—
1015C22×D4—611no—
1016C22×D4—611no—
1017C22×D4—611no—
1018C22×D4—611no—
1019C23×C4—42no—
1020C23×C4—42no—
1021C23×C4—42no—
1022C23×C4—611no—
1023C23×C4—611no—
1024C23×C4—611no—
1025C23×C4C22×D6111yescharacteristic
1026C23×C4C22×D6111yescharacteristic
1027C23×C4C22×D6111yescharacteristic
1028C23×C4C22×D6111yescharacteristic
1029C23×C4C22×D6111yescharacteristic
1030C23×C4C22×D6111yescharacteristic
1031C23×C4C22×D6111yescharacteristic
1032C23×C4C22×D6111yescharacteristic
1033C23×C4C22×D6111yescharacteristic
1034C23×C4C22×D6111yescharacteristic
1035#126—2442no—
1036#124—2442no—
1037#123—1224no—
1038#123—2442no—
1039#123—2442no—
1040#123—2442no—
1041C22⋊Q8—2442no—
1042#121—2442no—
1043#121—2442no—
1044#121—2442no—
1045#121—2442no—
1046#121—2442no—
1047#120—2442no—
1048#120—2442no—
1049#120—2442no—
1050C4×D4—2442no—
1051#117—2442no—
1052C2×C4⋊C4—42no—
1053C2×C4⋊C4—42no—
1054C2×C4⋊C4—611no—
1055C2×C4⋊C4—611no—
1056C2×C4⋊C4—611no—
1057C2×C4⋊C4—611no—
1058C2×C4⋊C4—611no—
1059C2×C4⋊C4—611no—
1060C2×C4⋊C4—611no—
1061C2×C4⋊C4—611no—
1062C2×C4⋊C4—611no—
1063C2×C4⋊C4—611no—
1064C2×C4⋊C4—611no—
1065C2×C4⋊C4—611no—
1066C2×C4⋊C4—611no—
1067C2×C4⋊C4—611no—
1068C2×C4⋊C4—611no—
1069C2×C4⋊C4—611no—
1070C2×C4⋊C4—611no—
1071C2×C4⋊C4—611no—
1072C2×C4⋊C4—611no—
1073C2×C4⋊C4—611no—
1074C2×C4⋊C4C22×D6111yescharacteristic
1075C2×C4⋊C4C22×D6111yescharacteristic
1076C2×C4⋊C4C22×D6111yescharacteristic
1077C2×C4⋊C4C22×D6111yescharacteristic
1078C2×C4⋊C4C22×D6111yescharacteristic
1079C2×C4⋊C4C22×D6111yescharacteristic
1080C2×C4⋊C4C22×D6111yescharacteristic
1081C2×C4⋊C4C22×D6111yescharacteristic
1082C2×C22⋊C4—24no—
1083C2×C22⋊C4—42no—
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—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—611no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4C22×D6111yescharacteristic
1127C2×C22⋊C4C22×D6111yescharacteristic
1128C2×C22⋊C4C22×D6111yescharacteristic
1129C2×C22⋊C4C22×D6111yescharacteristic
1130C2×C22⋊C4C22×D6111yescharacteristic
1131C2×C22⋊C4C22×D6111yescharacteristic
1132C2×C22⋊C4C22×D6111yescharacteristic
1133C2×C22⋊C4C22×D6111yescharacteristic
1134C2×C42—611no—
1135C2×C42—611no—
1136C2×C42—611no—
1137C2×C42—611no—
1138C2×C42—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#95—611no—
1158#95—611no—
1159#95—611no—
1160#95—611no—
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95—611no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95C22×D6111yescharacteristic
1176#95C22×D6111yescharacteristic
1177#95C22×D6111yescharacteristic
1178#95C22×D6111yescharacteristic
1179#95C22×D6111yescharacteristic
1180#95C22×D6111yescharacteristic
1181#95C22×D6111yescharacteristic
1182#95C22×D6111yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—611no—
1191C24—611no—
1192C24—611no—
1193C24C23×D6111yescharacteristic
1194C24C23×D6111yescharacteristic
1195C24C23×D6111yescharacteristic
1196#41—24416no—
1197C2×Q8—1222no—
1198C2×Q8—2441no—
1199C2×Q8—2441no—
1200C2×Q8—2441no—
1201C2×Q8—2441no—
1202C2×Q8—2441no—
1203C2×D4—1222no—
1204C2×D4—1222no—
1205C2×D4—1222no—
1206C2×D4—1222no—
1207C2×D4—1222no—
1208C2×D4—1222no—
1209C2×D4—1222no—
1210C2×D4—1222no—
1211C2×D4—1222no—
1212C2×D4—1222no—
1213C2×D4—1222no—
1214C2×D4—1222no—
1215C2×D4—1222no—
1216C2×D4—1222no—
1217C2×D4—1222no—
1218C2×D4—1222no—
1219C2×D4—1222no—
1220C2×D4—2441no—
1221C2×D4—2441no—
1222C2×D4—2441no—
1223C2×D4—2441no—
1224C2×D4—2441no—
1225C2×D4—2441no—
1226C2×D4—2441no—
1227C2×D4—2441no—
1228C2×D4—2441no—
1229C2×D4—2441no—
1230C2×D4—2441no—
1231C2×D4—2441no—
1232C2×D4—2441no—
1233C2×D4—2441no—
1234C2×D4—2441no—
1235C2×D4—2441no—
1236C2×D4—2441no—
1237C2×D4—2441no—
1238C2×D4—2441no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—416no—
1269C22×C4—611no—
1270C22×C4—611no—
1271C22×C4—611no—
1272C22×C4—611no—
1273C22×C4—611no—
1274C22×C4—611no—
1275C22×C4—611no—
1276C22×C4—611no—
1277C22×C4—611no—
1278C22×C4—611no—
1279C22×C4—611no—
1280C22×C4—611no—
1281C22×C4—611no—
1282C22×C4—1222no—
1283C22×C4—1222no—
1284C22×C4—2441no—
1285C22×C4—2441no—
1286C22×C4—2441no—
1287C22×C4—2441no—
1288C22×C4—2441no—
1289C22×C4—2441no—
1290C22×C4—2441no—
1291C22×C4#1175822214yes—
1292C22×C4C23×D6111yescharacteristic
1293C22×C4C23×D6111yescharacteristic
1294C22×C4C23×D6111yescharacteristic
1295C22×C4C23×D6111yescharacteristic
1296C22×C4C23×D6111yescharacteristic
1297C22×C4C23×D6111yescharacteristic
1298C22×C4C23×D6111yescharacteristic
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C22×C4C23×D6111yescharacteristic
1302C22×C4C23×D6111yescharacteristic
1303C22×C4C23×D6111yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—1222no—
1313C4⋊C4—1222no—
1314C4⋊C4—1222no—
1315C4⋊C4—1222no—
1316C4⋊C4—2441no—
1317C4⋊C4—2441no—
1318C4⋊C4—2441no—
1319C4⋊C4—2441no—
1320C4⋊C4—2441no—
1321C4⋊C4—2441no—
1322C4⋊C4—2441no—
1323C4⋊C4—2441no—
1324C4⋊C4—2441no—
1325C4⋊C4—2441no—
1326C4⋊C4—2441no—
1327C4⋊C4—2441no—
1328C4⋊C4—2441no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4—2441no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—1222no—
1341C22⋊C4—1222no—
1342C22⋊C4—1222no—
1343C22⋊C4—1222no—
1344C22⋊C4—1222no—
1345C22⋊C4—1222no—
1346C22⋊C4—1222no—
1347C22⋊C4—1222no—
1348C22⋊C4—1222no—
1349C22⋊C4—1222no—
1350C22⋊C4—2441no—
1351C22⋊C4—2441no—
1352C22⋊C4—2441no—
1353C22⋊C4—2441no—
1354C22⋊C4—2441no—
1355C22⋊C4—2441no—
1356C22⋊C4—2441no—
1357C22⋊C4—2441no—
1358C22⋊C4—2441no—
1359C22⋊C4—2441no—
1360C22⋊C4—2441no—
1361C22⋊C4—2441no—
1362C22⋊C4—2441no—
1363C22⋊C4—2441no—
1364C22⋊C4—2441no—
1365C22⋊C4—2441no—
1366C22⋊C4—2441no—
1367C22⋊C4—2441no—
1368C22⋊C4—2441no—
1369C22⋊C4—2441no—
1370C22⋊C4—2441no—
1371C22⋊C4—2441no—
1372C22⋊C4—2441no—
1373C22⋊C4—2441no—
1374C22⋊C4—2441no—
1375C22⋊C4—2441no—
1376C22⋊C4—2441no—
1377C22⋊C4—2441no—
1378C22⋊C4—2441no—
1379C22⋊C4—2441no—
1380C22⋊C4—2441no—
1381C22⋊C4—2441no—
1382C42—2441no—
1383C42—2441no—
1384C42—2441no—
1385C42—2441no—
1386C42—2441no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—44no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—1221no—
1411C23—1221no—
1412C23—1221no—
1413C23—1221no—
1414C23—1221no—
1415C23—1221no—
1416C23—1221no—
1417C23—1221no—
1418C23—1221no—
1419C23—1221no—
1420C23—1221no—
1421C23—1221no—
1422C23—1221no—
1423C23—1221no—
1424C23—1221no—
1425C23—1221no—
1426C23—1221no—
1427C23—1221no—
1428C23—1221no—
1429C23—1221no—
1430C23—1221no—
1431C23C2×#1175822212yes—
1432C23#1451982212yes—
1433C23#1451982212yes—
1434C23#1451982312yes—
1435C23#1451982512yes—
1436C23C24×D6111yescharacteristic
1437Q8—4882no—
1438Q8—2444no—
1439D4—4882no—
1440D4—4882no—
1441D4—4882no—
1442D4—4882no—
1443D4—4882no—
1444D4—4882no—
1445D4—4882no—
1446D4—4882no—
1447D4—2444no—
1448D4—2444no—
1449D4—2444no—
1450D4—2444no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—28no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—82no—
1493C2×C4—82no—
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—1221no—
1504C2×C4—1221no—
1505C2×C4—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—1221no—
1527C2×C4—1221no—
1528C2×C4—1221no—
1529C2×C4—1221no—
1530C2×C4—1221no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—4882no—
1534C2×C4—2444no—
1535C2×C4—2444no—
1536C2×C4C2×#1175822212yes—
1537C2×C4C2×#1175822212yes—
1538C2×C4#1451982212yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—2441no—
1561C22—2441no—
1562C22—2441no—
1563C22—2441no—
1564C22—2441no—
1565C22—2441no—
1566C22—2441no—
1567C22—2441no—
1568C22—2441no—
1569C22—2441no—
1570C22—2441no—
1571C22—2441no—
1572C22—2441no—
1573C22—2441no—
1574C22—2441no—
1575C22—2441no—
1576C22—2441no—
1577C22—2441no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
1581C22#1684034514yes—
1582C22C22×#1175822211yescharacteristic
1583C22C2×#1451982211yescharacteristic
1584C22C2×#1451982211yescharacteristic
1585C22C2×#1451982211yescharacteristic
1586C22C2×#1451982311yescharacteristic
1587C22C2×#1451982511yescharacteristic
1588C22#1684059811yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4—2441no—
1608C4—2441no—
1609C4—2441no—
1610C4—2441no—
1611C4—2441no—
1612C4—2441no—
1613C4—2441no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—4881no—
1618C2—4881no—
1619C2—4881no—
1620C2C2×#1684034511yescharacteristic
1621C2#2145952811yescharacteristic
1622C2#2145967111yescharacteristic
1623C2#2145997411yescharacteristic
1624C2#2146001311yescharacteristic
1625C2#2146002811yescharacteristic
1626C2#2146004811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC2×C61×#385C2
hypercenterC2×#385D61
hypocenterC61#36791
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
1. #21454111C2semidirect
2. #21454101C2semidirect
3. #21453761C2semidirect
4. #21453680C2semidirect
5. #21453565C2semidirect
6. #21453518C2semidirect
7. #21453465C2semidirect
8. #21453431C2semidirect
9. #21453076C2semidirect
10. #21453061C2semidirect
11. #21452992C2semidirect
12. #21452616C2semidirect
13. #21452565C2semidirect
14. #21452541C2semidirect
15. #21452538C2semidirect
16. #21452358C2semidirect
17. #21452229C2semidirect
18. #21452185C2semidirect
19. #21451772C2semidirect
20. #21451747C2semidirect
21. #21450074C2semidirect
22. #21449939C2semidirect
23. #21449554C2semidirect
24. #21449495C2semidirect
25. #21449429C2semidirect
26. #21449355C2semidirect
27. #21449204C2semidirect
28. #21449138C2semidirect
29. #21448488C2semidirect
30. #21448412C2semidirect
31. C2×C61×#385C2semidirect
33. C2×#14519772C22semidirect
35. C2×#14519762C22semidirect
50. C61⋊#401C22semidirect
51. #16839704C22semidirect
52. #16839703C22semidirect
53. #16839703C22semidirect
54. #16839703C22semidirect
55. #16839702C22semidirect
56. #16839702C22semidirect
57. #16839701C22semidirect
58. #16839700C22semidirect
59. #16839697C22semidirect
60. #16839696C22semidirect
61. #16839695C22semidirect
62. #16839694C22semidirect
63. #16839691C22semidirect
64. #16839691C22semidirect
65. #16839691C22semidirect
67. #16839689C22semidirect
68. #16839689C22semidirect
69. #16839688C22semidirect
70. #16839688C22semidirect
71. #16839686C22semidirect
75. #16839684C22semidirect
76. #16839683C22semidirect
77. #16839683C22semidirect
78. #16839680C22semidirect
79. #16839680C22semidirect
80. #16839680C22semidirect
81. #16839679C22semidirect
88. #16839675C22semidirect
89. #16839675C22semidirect
90. #16839675C22semidirect
94. #16839672C22semidirect
98. #16839667C22semidirect
99. #16839667C22semidirect
100. #16839666C22semidirect
101. #16839663C22semidirect
102. #16839663C22semidirect
107. #16839659C22semidirect
108. #16839657C22semidirect
109. #16839657C22semidirect
114. #16839652C22semidirect
115. #16839652C22semidirect
116. #16839652C22semidirect
117. #16839652C22semidirect
119. #16839649C22semidirect
120. #16839648C22semidirect
121. #16839648C22semidirect
122. #16839645C22semidirect
123. #16839643C22semidirect
124. #16839643C22semidirect
125. #16839643C22semidirect
142. #16839640C22semidirect
143. #16839640C22semidirect
149. #16839636C22semidirect
150. #16839636C22semidirect
157. #16839633C22semidirect
158. #16839633C22semidirect
159. #16839633C22semidirect
166. #16839619C22semidirect
167. #16839619C22semidirect
168. #16839619C22semidirect
169. #16839619C22semidirect
831. C2×#385D61semidirect
1000. C61#36791semidirect

Maximal subgroups

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

subgroupindex
#214541112
#214541012
#214537612
#214536802
#214535652
#214535182
#214534652
#214534312
#214530762
#214530612
#214529922
#214526162
#214525652
#214525412
#214525382
#214523582
#214522292
#214521852
#214517722
#214517472
#214500742
#214499392
#214495542
#214494952
#214494292
#214493552
#214492042
#214491382
#214484882
#214484122
C2×C61×#3852
#3679161