Finite Group Databasebeta

← #29888446

Subgroups — #29888446

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#21454133C211yesmaximal, characteristic, complemented
2#21454117C211yesmaximal, characteristic, complemented
3#21453481C211yesmaximal, characteristic, complemented
4#21453480C211yesmaximal, characteristic, complemented
5#21453436C211yesmaximal, characteristic, complemented
6#21453248C211yesmaximal, characteristic, complemented
7#21453246C211yesmaximal, characteristic, complemented
8#21453212C211yesmaximal, characteristic, complemented
9#21453139C211yesmaximal, characteristic, complemented
10#21453041C211yesmaximal, characteristic, complemented
11#21452959C211yesmaximal, characteristic, complemented
12#21452932C211yesmaximal, characteristic, complemented
13#21452856C211yesmaximal, characteristic, complemented
14#21452823C211yesmaximal, characteristic, complemented
15#21452442C211yesmaximal, characteristic, complemented
16#21452214C211yesmaximal, characteristic, complemented
17#21452199C211yesmaximal, characteristic, complemented
18#21451604C211yesmaximal, characteristic, complemented
19#21451566C211yesmaximal, characteristic, complemented
20#21450372C211yesmaximal, characteristic, complemented
21#21450148C211yesmaximal, characteristic, complemented
22#21449576C211yesmaximal, characteristic, complemented
23#21449481C211yesmaximal, characteristic, complemented
24#21449375C211yesmaximal, characteristic, complemented
25#21449208C211yesmaximal, characteristic, complemented
26#21449195C211yesmaximal, characteristic
27#21449144C211yesmaximal, characteristic, complemented
28#21448481C211yesmaximal, characteristic, complemented
29#21448395C211yesmaximal, characteristic, complemented
30#388×D61C211yesmaximal, characteristic, complemented
31C61×#2735C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C2×#14519770C2211yescharacteristic, complemented
34C2×#14519763C2211yescharacteristic, complemented
35C2×#14519762C2211yescharacteristic, complemented
36C2×#14519759C2211yescharacteristic
37C2×#14519759C2211yescharacteristic
38C2×#14519757C2211yescharacteristic, complemented
39C2×#14519755C2211yescharacteristic, complemented
40C2×#14519750C2211yescharacteristic
41C2×#14519750C2211yescharacteristic
42C2×#14519747C2211yescharacteristic
43C2×#14519746C2211yescharacteristic
44C2×C4×D244C2211yescharacteristic, complemented
45C2×C4⋊C4×D61C2211yescharacteristic, complemented
46C2×C22⋊C4×D61C2211yescharacteristic
47C2×C22⋊C4×D61C2211yescharacteristic
48C2×C22⋊C4×D61C2211yescharacteristic
49C2×C22⋊C4×D61C2211yescharacteristic
50C2×C42×D61C2211yescharacteristic, complemented
51C61⋊#401C2211yescharacteristic, complemented
52#16839704C2211yescharacteristic, complemented
53#16839703C2211yescharacteristic, complemented
54#16839702C2211yescharacteristic, complemented
55#16839702C2211yescharacteristic, complemented
56#16839702C2211yescharacteristic, complemented
57#16839700C2211yescharacteristic, complemented
58#16839698C2211yescharacteristic
59#16839698C2211yescharacteristic, complemented
60#16839696C2211yescharacteristic, complemented
61#16839695C2211yescharacteristic, complemented
62#16839695C2211yescharacteristic, complemented
63#16839695C2211yescharacteristic, complemented
64#16839695C2211yescharacteristic, complemented
65#16839690C2211yescharacteristic
66#16839690C2211yescharacteristic, complemented
67#16839690C2211yescharacteristic, complemented
68#16839689C2211yescharacteristic, complemented
69#16839688C2211yescharacteristic, complemented
70#16839687C2211yescharacteristic, complemented
71#16839687C2211yescharacteristic, complemented
72#16839685C2211yescharacteristic
73#16839685C2211yescharacteristic, complemented
74#16839685C2211yescharacteristic, complemented
75#16839684C2211yescharacteristic, complemented
76#16839684C2211yescharacteristic, complemented
77#16839678C2211yescharacteristic
78#16839678C2211yescharacteristic
79#16839678C2211yescharacteristic
80#16839678C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic, complemented
82#16839677C2211yescharacteristic
83#16839677C2211yescharacteristic
84#16839677C2211yescharacteristic
85#16839677C2211yescharacteristic
86#16839677C2211yescharacteristic
87#16839677C2211yescharacteristic, complemented
88#16839677C2211yescharacteristic, complemented
89#16839674C2211yescharacteristic
90#16839674C2211yescharacteristic, complemented
91#16839671C2211yescharacteristic
92#16839671C2211yescharacteristic
93#16839666C2211yescharacteristic, complemented
94#16839666C2211yescharacteristic, complemented
95#16839663C2211yescharacteristic, complemented
96#16839662C2211yescharacteristic
97#16839662C2211yescharacteristic, complemented
98#16839660C2211yescharacteristic, complemented
99#16839656C2211yescharacteristic
100#16839656C2211yescharacteristic, complemented
101#16839656C2211yescharacteristic, complemented
102#16839656C2211yescharacteristic, complemented
103#16839655C2211yescharacteristic
104#16839655C2211yescharacteristic
105#16839655C2211yescharacteristic, complemented
106#16839655C2211yescharacteristic, complemented
107#16839654C2211yescharacteristic, complemented
108#16839654C2211yescharacteristic, complemented
109#16839653C2211yescharacteristic, complemented
110#16839653C2211yescharacteristic, complemented
111#16839653C2211yescharacteristic, complemented
112#16839652C2211yescharacteristic, complemented
113#16839652C2211yescharacteristic, complemented
114#16839651C2211yescharacteristic, complemented
115#16839650C2211yescharacteristic
116#16839650C2211yescharacteristic, complemented
117#16839650C2211yescharacteristic, complemented
118#16839648C2211yescharacteristic, complemented
119#16839648C2211yescharacteristic, complemented
120#16839646C2211yescharacteristic, complemented
121#16839646C2211yescharacteristic, complemented
122#16839645C2211yescharacteristic, complemented
123#16839640C2211yescharacteristic, complemented
124#16839640C2211yescharacteristic, complemented
125#16839640C2211yescharacteristic, complemented
126#16839640C2211yescharacteristic, complemented
127#16839640C2211yescharacteristic, complemented
128#16839639C2211yescharacteristic
129#16839638C2211yescharacteristic
130#16839638C2211yescharacteristic
131#16839638C2211yescharacteristic
132#16839638C2211yescharacteristic
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic
137#16839638C2211yescharacteristic
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic
140#16839638C2211yescharacteristic
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic, complemented
143#16839638C2211yescharacteristic, complemented
144#16839637C2211yescharacteristic
145#16839636C2211yescharacteristic, complemented
146#16839636C2211yescharacteristic, complemented
147#16839634C2211yescharacteristic
148#16839634C2211yescharacteristic
149#16839633C2211yescharacteristic, complemented
150#16839633C2211yescharacteristic, complemented
151#16839633C2211yescharacteristic, complemented
152#16839633C2211yescharacteristic, complemented
153#16839629C2211yescharacteristic, complemented
154#16839629C2211yescharacteristic, complemented
155#16839627C2211yescharacteristic, complemented
156#16839626C2211yescharacteristic, complemented
157#16839624C2211yescharacteristic, complemented
158#16839624C2211yescharacteristic, complemented
159#16839623C2211yescharacteristic
160#16839623C2211yescharacteristic
161#16839621C2211yescharacteristic, complemented
162#16839621C2211yescharacteristic, complemented
163#16839621C2211yescharacteristic, complemented
164#16839619C2211yescharacteristic, complemented
165#16839619C2211yescharacteristic, complemented
166#16839618C2211yescharacteristic
167#16839618C2211yescharacteristic
168#16839617C2211yescharacteristic
169#16839609C2211yescharacteristic, complemented
170#95×D61C2211yescharacteristic, complemented
171#95×D61C2211yescharacteristic, complemented
172C61×#399C2211yescharacteristic, complemented
173C61×#397C2211yescharacteristic
174C61×#397C2211yescharacteristic, complemented
175C61×#397C2211yescharacteristic, complemented
176C61×#396C2211yescharacteristic
177C61×#396C2211yescharacteristic, complemented
178C61×#388C2211yescharacteristic
179C61×#388C2211yescharacteristic
180C61×#388C2211yescharacteristic, complemented
181C61×#388C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#388C2211yescharacteristic, complemented
184C61×#379C2211yescharacteristic
185C61×#379C2211yescharacteristic
186C61×#379C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C22×Dic122C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×C22⋊D61—24no—
192C22×C22⋊D61—42no—
193C22×C22⋊D61—42no—
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C22×C4×D61C2311yescharacteristic
203C22×C4×D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211#14519770—42no—
212#14519763—42no—
213#14519762—42no—
214#14519759—42no—
215#14519759—42no—
216#14519757—42no—
217#14519755—42no—
218#14519750—42no—
219#14519750—42no—
220#14519747—24no—
221#14519746—42no—
222C4×D244—42no—
223C2×C4⋊Dic61C2311yescharacteristic
224C2×C4⋊Dic61C2311yescharacteristic
225C2×C4⋊Dic61C2311yescharacteristic
226C2×C4⋊Dic61C2311yescharacteristic
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×#11758196C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C4⋊C4×D61—42no—
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
282C22⋊C4×D61—24no—
283C22⋊C4×D61—42no—
284C22⋊C4×D61—42no—
285C22⋊C4×D61—42no—
286C2×C4×Dic61C2311yescharacteristic
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C42×D61—42no—
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
327#14519684C2311yescharacteristic
328C25×C61C2311yescharacteristic
329C2×C4⋊C4×C61C2311yescharacteristic
330C2×C4⋊C4×C61C2311yescharacteristic
331C2×C4⋊C4×C61C2311yescharacteristic
332C2×C4⋊C4×C61C2311yescharacteristic
333C2×C4⋊C4×C61C2311yescharacteristic
334C2×C4⋊C4×C61C2311yescharacteristic
335C2×C22⋊C4×C61C2311yescharacteristic
336C2×C22⋊C4×C61C2311yescharacteristic
337C2×C22⋊C4×C61C2311yescharacteristic
338C2×C22⋊C4×C61C2311yescharacteristic
339C2×C22⋊C4×C61C2311yescharacteristic
340C2×C22⋊C4×C61C2311yescharacteristic
341C2×C22⋊C4×C61C2311yescharacteristic
342C2×C22⋊C4×C61C2311yescharacteristic
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×C42×C61C2311yescharacteristic
354C2×C42×C61C2311yescharacteristic
355#95×C61C2311yescharacteristic
356#95×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363C24×C61—22no—
364C24×C61—41no—
365C24×C61—41no—
366C24×C61—41no—
367C24×C61—41no—
368C24×C61—41no—
369C24×C61—41no—
370C24×C61C2411yescharacteristic
371C24×C61C2411yescharacteristic
372C24×C61C2411yescharacteristic
373C23×D61—22no—
374C23×D61—22no—
375C23×D61—41no—
376C23×D61—41no—
377C23×D61—41no—
378C23×D61—41no—
379C23×D61#4114yes—
380C23×D61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C23×D61C2411yescharacteristic
383C22×C4×C61C2411yescharacteristic
384C22×C4×C61C2411yescharacteristic
385C22×C4×C61C2411yescharacteristic
386C22×C4×C61C2411yescharacteristic
387C22×C4×C61C2411yescharacteristic
388C22×C4×C61C2411yescharacteristic
389C22×C4×C61C2411yescharacteristic
390C22×C4×C61C2411yescharacteristic
391C22×C4×C61C2411yescharacteristic
392C22×C4×C61C2411yescharacteristic
393C22×C4×C61C2411yescharacteristic
394C22×C4×C61C2411yescharacteristic
395C2×C22⋊D61—22no—
396C2×C22⋊D61—22no—
397C2×C22⋊D61—22no—
398C2×C22⋊D61—22no—
399C2×C22⋊D61—22no—
400C2×C22⋊D61—22no—
401C2×C22⋊D61—22no—
402C2×C22⋊D61—22no—
403C2×C22⋊D61—22no—
404C2×C22⋊D61—22no—
405C2×C22⋊D61—41no—
406C2×C22⋊D61—41no—
407C2×C22⋊D61—41no—
408C2×C22⋊D61—41no—
409C2×C22⋊D61—41no—
410C2×C22⋊D61—41no—
411C2×C22⋊D61—41no—
412C2×C22⋊D61—41no—
413C2×C22⋊D61—41no—
414C2×C22⋊D61—41no—
415C2×C22⋊D61—41no—
416C2×C22⋊D61—416no—
417C22×Dic61—22no—
418C22×Dic61—41no—
419C22×Dic61—41no—
420C22×Dic61C2411yescharacteristic
421C22×Dic61C2411yescharacteristic
422C22×Dic61C2411yescharacteristic
423C22×Dic61C2411yescharacteristic
424C22×Dic61C2411yescharacteristic
425C22×Dic61C2411yescharacteristic
426C22×Dic61C2411yescharacteristic
427C22×Dic61C2411yescharacteristic
428C22×Dic61C2411yescharacteristic
429C22×Dic61C2411yescharacteristic
430C22×Dic61C2411yescharacteristic
431C22×Dic61C2411yescharacteristic
432C22×Dic61C2411yescharacteristic
433C2×D244—22no—
434C2×D244—22no—
435C2×D244—22no—
436C2×D244—22no—
437C2×D244—41no—
438C2×D244—41no—
439C2×C4×D61—22no—
440C2×C4×D61—22no—
441C2×C4×D61—22no—
442C2×C4×D61—22no—
443C2×C4×D61—22no—
444C2×C4×D61—22no—
445C2×C4×D61—22no—
446C2×C4×D61—22no—
447C2×C4×D61—22no—
448C2×C4×D61—41no—
449C2×C4×D61—41no—
450C2×C4×D61—41no—
451C2×C4×D61—41no—
452C2×C4×D61—41no—
453C2×C4×D61—41no—
454C2×C4×D61—41no—
455C2×C4×D61—41no—
456C2×C4×D61—41no—
457C2×C4×D61—41no—
458C2×C4×D61—41no—
459C2×C4×D61—41no—
460C2×C4×D61—41no—
461C2×C4×D61—41no—
462C2×C4×D61—41no—
463C2×C4×D61—41no—
464C2×C4×D61—41no—
465C2×C4×D61—41no—
466C2×Dic122—22no—
467C2×Dic122—41no—
468C2×Dic122—41no—
469C4⋊C4×C61—41no—
470C4⋊C4×C61—41no—
471C4⋊C4×C61—41no—
472C4⋊C4×C61—41no—
473C4⋊C4×C61—41no—
474C4⋊C4×C61—41no—
475C22⋊C4×C61—22no—
476C22⋊C4×C61—22no—
477C22⋊C4×C61—41no—
478C22⋊C4×C61—41no—
479C22⋊C4×C61—41no—
480C22⋊C4×C61—41no—
481C22⋊C4×C61—41no—
482C22⋊C4×C61—41no—
483C22⋊C4×C61—41no—
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⋊C4×C61—41no—
493C42×C61—41no—
494C42×C61—41no—
495C22⋊Dic61—22no—
496C22⋊Dic61—22no—
497C22⋊Dic61—22no—
498C22⋊Dic61—41no—
499C22⋊Dic61—41no—
500C22⋊Dic61—41no—
501C22⋊Dic61—41no—
502C22⋊Dic61—41no—
503C22⋊Dic61—41no—
504C22⋊Dic61—41no—
505C22⋊Dic61—41no—
506C22⋊Dic61—41no—
507C22⋊Dic61—41no—
508C22⋊Dic61—41no—
509C22⋊Dic61—41no—
510#11758198—22no—
511#11758198—22no—
512#11758198—22no—
513#11758198—22no—
514#11758198—22no—
515#11758198—22no—
516#11758198—22no—
517#11758198—22no—
518#11758198—22no—
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—
533C4⋊Dic61—22no—
534C4⋊Dic61—41no—
535C4⋊Dic61—41no—
536C4⋊Dic61—41no—
537C4⋊Dic61—41no—
538C4⋊Dic61—41no—
539C4⋊Dic61—41no—
540#11758196—41no—
541#11758196—41no—
542#11758196—41no—
543#11758196—41no—
544#11758196—41no—
545#11758196—41no—
546#11758196—41no—
547#11758196—41no—
548#11758196—41no—
549#11758196—41no—
550#11758196—41no—
551#11758196—41no—
552#11758196—41no—
553C4×Dic61—22no—
554C4×Dic61—22no—
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—21no—
575C23×C61—21no—
576C23×C61—21no—
577C23×C61—21no—
578C23×C61—44no—
579C23×C61—82no—
580C23×C61—82no—
581C23×C61—82no—
582C23×C61—82no—
583C23×C61—82no—
584C23×C61—82no—
585C23×C61C2×#4112yes—
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—28no—
598C22×D61—21no—
599C22×D61—21no—
600C22×D61—21no—
601C22×D61—21no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—44no—
606C22×D61—44no—
607C22×D61—82no—
608C22×D61—82no—
609C22×D61—82no—
610C22×D61—82no—
611C22×D61C2×#4112yes—
612C22×D61C2×#4112yes—
613C22×D61H(5,𝔽2)12yes—
614C22×D61H(5,𝔽2)12yes—
615C2×C4×C61—21no—
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—
651C22⋊D61—44no—
652C22⋊D61—44no—
653C22⋊D61—44no—
654C22⋊D61—44no—
655C22⋊D61—82no—
656C22⋊D61—82no—
657C22⋊D61—82no—
658C2×Dic61—21no—
659C2×Dic61—21no—
660C2×Dic61—21no—
661C2×Dic61—21no—
662C2×Dic61—21no—
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—44no—
697C2×Dic61H(5,𝔽2)12yes—
698D244—44no—
699D244—82no—
700C4×D61—44no—
701C4×D61—44no—
702C4×D61—44no—
703C4×D61—44no—
704C4×D61—82no—
705C4×D61—82no—
706C4×D61—82no—
707C4×D61—82no—
708C4×D61—82no—
709Dic122—82no—
710#36779—611nomaximal, Sylow
711C22×C61—22no—
712C22×C61—22no—
713C22×C61—22no—
714C22×C61—41no—
715C22×C61—41no—
716C22×C61—41no—
717C22×C61—41no—
718C22×C61—41no—
719C22×C61—41no—
720C22×C61—41no—
721C22×C61—41no—
722C22×C61—41no—
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—41no—
732C22×C61—88no—
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—22no—
741C2×D61—22no—
742C2×D61—22no—
743C2×D61—22no—
744C2×D61—22no—
745C2×D61—22no—
746C2×D61—22no—
747C2×D61—22no—
748C2×D61—22no—
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—88no—
761C2×D61#53814yes—
762C4×C61—41no—
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—22no—
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#2735D6111yescharacteristic, complemented
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#2437—611no—
811#2425—611no—
812#2412—611no—
813#2410—611no—
814#2405—611no—
815#2321—611no—
816#2308—611no—
817C2×#388—611no—
818C2×C61—42no—
819C2×C61—81no—
820C2×C61—81no—
821C2×C61C2×#53811yescharacteristic
822C2×C61#349111yescharacteristic
823C2×C61#350511yescharacteristic
824C2×C61#353411yescharacteristic
825C2×C61#354211yescharacteristic
826C2×C61#354511yescharacteristic
827C2×C61#356011yescharacteristic
828D61—24no—
829D61—42no—
830D61—81no—
831C23×D4—611no—
832C2×#126—611no—
833C2×#124—611no—
834C2×#123—611no—
835C2×#123—611no—
836C2×#123—611no—
837C2×C22⋊Q8—611no—
838C2×C22⋊Q8—611no—
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⋊C4—611no—
848C22×C22⋊C4—611no—
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, complemented
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#397C2×D6111yescharacteristic
873#397C2×D6111yescharacteristic, complemented
874#397C2×D6111yescharacteristic, complemented
875#396—611no—
876#396—611no—
877#396—611no—
878#396—611no—
879#396—611no—
880#396C2×D6111yescharacteristic
881#396C2×D6111yescharacteristic, complemented
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#393—611no—
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#388C2×D6111yescharacteristic
924#388C2×D6111yescharacteristic
925#388C2×D6111yescharacteristic, complemented
926#388C2×D6111yescharacteristic, complemented
927#388C2×D6111yescharacteristic, complemented
928#388C2×D6111yescharacteristic, complemented
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#385—611no—
961#385—611no—
962#385—611no—
963#385—611no—
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#380—611no—
976#380—611no—
977#379—611no—
978#379—611no—
979#379—611no—
980#379C2×D6111yescharacteristic
981#379C2×D6111yescharacteristic
982#379C2×D6111yescharacteristic
983C4×C22⋊C4—611no—
984C2×#95—611no—
985C2×#95—611no—
986C61#3677911yescharacteristic, complemented, Sylow
987C25—611no—
988C25C22×D6111yescharacteristic
989C22×Q8—611no—
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×C4—611no—
1009C23×C4—611no—
1010C23×C4—611no—
1011C23×C4—611no—
1012#126—2442no—
1013#124—2442no—
1014#123—2442no—
1015#123—2442no—
1016#123—2442no—
1017C22⋊Q8—2442no—
1018C22⋊Q8—2442no—
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—611no—
1042C2×C4⋊C4—611no—
1043C2×C4⋊C4—611no—
1044C2×C4⋊C4—2442no—
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—611no—
1052C2×C22⋊C4—611no—
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—1224no—
1090C2×C22⋊C4—2442no—
1091C2×C22⋊C4—2442no—
1092C2×C22⋊C4—2442no—
1093C2×C22⋊C4C22×D6111yescharacteristic
1094C2×C22⋊C4C22×D6111yescharacteristic
1095C2×C22⋊C4C22×D6111yescharacteristic
1096C2×C22⋊C4C22×D6111yescharacteristic
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—2442no—
1117C2×C42C22×D6111yescharacteristic
1118C2×C42C22×D6111yescharacteristic
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#95C22×D6111yescharacteristic
1156#95C22×D6111yescharacteristic
1157#95C22×D6111yescharacteristic
1158#95C22×D6111yescharacteristic
1159#95C22×D6111yescharacteristic
1160#95C22×D6111yescharacteristic
1161#95C22×D6111yescharacteristic
1162#95C22×D6111yescharacteristic
1163C24—22no—
1164C24—41no—
1165C24—41no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—611no—
1171C24—611no—
1172C24—614no—
1173C24—611no—
1174C24—1222no—
1175C24—1222no—
1176C24—2441no—
1177C24—2441no—
1178C24—2441no—
1179C24—2441no—
1180C24C23×D6111yescharacteristic
1181C24C23×D6111yescharacteristic
1182C24C23×D6111yescharacteristic
1183C2×Q8—1222no—
1184C2×Q8—2441no—
1185C2×Q8—2441no—
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—611no—
1215C22×C4—611no—
1216C22×C4—611no—
1217C22×C4—611no—
1218C22×C4—611no—
1219C22×C4—611no—
1220C22×C4—611no—
1221C22×C4—611no—
1222C22×C4—611no—
1223C22×C4—611no—
1224C22×C4—611no—
1225C22×C4—611no—
1226C22×C4—611no—
1227C22×C4—1222no—
1228C22×C4—1222no—
1229C22×C4—1222no—
1230C22×C4—1222no—
1231C22×C4—1222no—
1232C22×C4—1222no—
1233C22×C4—1222no—
1234C22×C4—1222no—
1235C22×C4—1222no—
1236C22×C4—1222no—
1237C22×C4—2441no—
1238C22×C4—2441no—
1239C22×C4—2441no—
1240C22×C4—2441no—
1241C22×C4—2441no—
1242C22×C4—2441no—
1243C22×C4—2441no—
1244C22×C4—2441no—
1245C22×C4—2441no—
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—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—1222no—
1276C4⋊C4—2441no—
1277C4⋊C4—2441no—
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—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
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—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—1222no—
1314C22⋊C4—1222no—
1315C22⋊C4—1222no—
1316C22⋊C4—1222no—
1317C22⋊C4—1222no—
1318C22⋊C4—1222no—
1319C22⋊C4—1222no—
1320C22⋊C4—1222no—
1321C22⋊C4—1222no—
1322C22⋊C4—1222no—
1323C22⋊C4—1222no—
1324C22⋊C4—1222no—
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—41no—
1352C42—41no—
1353C42—1222no—
1354C42—1222no—
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—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—44no—
1379C23—82no—
1380C23—82no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23—82no—
1385C23—612no—
1386C23—612no—
1387C23—612no—
1388C23—612no—
1389C23—1228no—
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—1221no—
1403C23—1221no—
1404C23—1221no—
1405C23—1221no—
1406C23—1221no—
1407C23—4882no—
1408C23—4882no—
1409C23—4882no—
1410C23—4882no—
1411C23—2444no—
1412C23—2444no—
1413C23#41×D6112yes—
1414C23C24×D6111yescharacteristic
1415Q8—4882no—
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—21no—
1461C2×C4—612no—
1462C2×C4—1221no—
1463C2×C4—1221no—
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—4882no—
1501C2×C4—4882no—
1502C2×C4—4882no—
1503C2×C4—4882no—
1504C2×C4—4882no—
1505C2×C4—2444no—
1506C2×C4—2444no—
1507C2×C4—2444no—
1508C2×C4—2444no—
1509C2×C4—2444no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—88no—
1532C22—614no—
1533C22—1222no—
1534C22—1222no—
1535C22—1222no—
1536C22—1222no—
1537C22—1222no—
1538C22—1222no—
1539C22—1222no—
1540C22—1222no—
1541C22—1222no—
1542C22—4888no—
1543C22—2441no—
1544C22—2441no—
1545C22—2441no—
1546C22—2441no—
1547C22—2441no—
1548C22—2441no—
1549C22—2441no—
1550C22—2441no—
1551C22—2441no—
1552C22—2441no—
1553C22—2441no—
1554C22C2×#41×D6111yescharacteristic
1555C22H(5,𝔽2)×D6111yescharacteristic
1556C22H(5,𝔽2)×D6111yescharacteristic
1557C22H(5,𝔽2)×D6111yescharacteristic
1558C22#1684059711yescharacteristic
1559C22#1684059811yescharacteristic
1560C22#1684059811yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—1222no—
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—42no—
1587C2—81no—
1588C2—81no—
1589C2—1224no—
1590C2—4881no—
1591C2—2442no—
1592C2#538×D6111yescharacteristic
1593C2#2145951011yescharacteristic
1594C2#2145965011yescharacteristic
1595C2#2146000811yescharacteristic
1596C2#2146012411yescharacteristic
1597C2#2146017211yescharacteristic
1598C2#2146036011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2735C2
prime radical#21449195C2
hypercenter#2735D61
hypocenterC61#36779
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2735

Complements

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

NH ≅ G/Ntype
1. #21454133C2semidirect
2. #21454117C2semidirect
3. #21453481C2semidirect
4. #21453480C2semidirect
5. #21453436C2semidirect
6. #21453248C2semidirect
7. #21453246C2semidirect
8. #21453212C2semidirect
9. #21453139C2semidirect
10. #21453041C2semidirect
11. #21452959C2semidirect
12. #21452932C2semidirect
13. #21452856C2semidirect
14. #21452823C2semidirect
15. #21452442C2semidirect
16. #21452214C2semidirect
17. #21452199C2semidirect
18. #21451604C2semidirect
19. #21451566C2semidirect
20. #21450372C2semidirect
21. #21450148C2semidirect
22. #21449576C2semidirect
23. #21449481C2semidirect
24. #21449375C2semidirect
25. #21449208C2semidirect
27. #21449144C2semidirect
28. #21448481C2semidirect
29. #21448395C2semidirect
30. #388×D61C2semidirect
31. C61×#2735C2semidirect
33. C2×#14519770C22semidirect
34. C2×#14519763C22semidirect
35. C2×#14519762C22semidirect
38. C2×#14519757C22semidirect
39. C2×#14519755C22semidirect
44. C2×C4×D244C22semidirect
45. C2×C4⋊C4×D61C22semidirect
50. C2×C42×D61C22semidirect
51. C61⋊#401C22semidirect
52. #16839704C22semidirect
53. #16839703C22semidirect
54. #16839702C22semidirect
55. #16839702C22semidirect
56. #16839702C22semidirect
57. #16839700C22semidirect
59. #16839698C22semidirect
60. #16839696C22semidirect
61. #16839695C22semidirect
62. #16839695C22semidirect
63. #16839695C22semidirect
64. #16839695C22semidirect
66. #16839690C22semidirect
67. #16839690C22semidirect
68. #16839689C22semidirect
69. #16839688C22semidirect
70. #16839687C22semidirect
71. #16839687C22semidirect
73. #16839685C22semidirect
74. #16839685C22semidirect
75. #16839684C22semidirect
76. #16839684C22semidirect
80. #16839678C22semidirect
81. #16839678C22semidirect
87. #16839677C22semidirect
88. #16839677C22semidirect
90. #16839674C22semidirect
93. #16839666C22semidirect
94. #16839666C22semidirect
95. #16839663C22semidirect
97. #16839662C22semidirect
98. #16839660C22semidirect
100. #16839656C22semidirect
101. #16839656C22semidirect
102. #16839656C22semidirect
105. #16839655C22semidirect
106. #16839655C22semidirect
107. #16839654C22semidirect
108. #16839654C22semidirect
109. #16839653C22semidirect
110. #16839653C22semidirect
111. #16839653C22semidirect
112. #16839652C22semidirect
113. #16839652C22semidirect
114. #16839651C22semidirect
116. #16839650C22semidirect
117. #16839650C22semidirect
118. #16839648C22semidirect
119. #16839648C22semidirect
120. #16839646C22semidirect
121. #16839646C22semidirect
122. #16839645C22semidirect
123. #16839640C22semidirect
124. #16839640C22semidirect
125. #16839640C22semidirect
126. #16839640C22semidirect
127. #16839640C22semidirect
142. #16839638C22semidirect
143. #16839638C22semidirect
145. #16839636C22semidirect
146. #16839636C22semidirect
149. #16839633C22semidirect
150. #16839633C22semidirect
151. #16839633C22semidirect
152. #16839633C22semidirect
153. #16839629C22semidirect
154. #16839629C22semidirect
155. #16839627C22semidirect
156. #16839626C22semidirect
157. #16839624C22semidirect
158. #16839624C22semidirect
161. #16839621C22semidirect
162. #16839621C22semidirect
163. #16839621C22semidirect
164. #16839619C22semidirect
165. #16839619C22semidirect
169. #16839609C22semidirect
170. #95×D61C22semidirect
171. #95×D61C22semidirect
172. C61×#399C22semidirect
174. C61×#397C22semidirect
175. C61×#397C22semidirect
177. C61×#396C22semidirect
180. C61×#388C22semidirect
181. C61×#388C22semidirect
182. C61×#388C22semidirect
183. C61×#388C22semidirect
800. #2735D61semidirect
859. #399C2×D61semidirect
873. #397C2×D61semidirect
874. #397C2×D61semidirect
881. #396C2×D61semidirect
925. #388C2×D61semidirect
926. #388C2×D61semidirect
927. #388C2×D61semidirect
928. #388C2×D61semidirect
986. C61#36779semidirect

Maximal subgroups

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

subgroupindex
#214541332
#214541172
#214534812
#214534802
#214534362
#214532482
#214532462
#214532122
#214531392
#214530412
#214529592
#214529322
#214528562
#214528232
#214524422
#214522142
#214521992
#214516042
#214515662
#214503722
#214501482
#214495762
#214494812
#214493752
#214492082
#214491952
#214491442
#214484812
#214483952
#388×D612
C61×#27352
#3677961