Finite Group Databasebeta

← #29847803

Subgroups — #29847803

Order 15616.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840295C211yesmaximal, characteristic, complemented
2C22×#14519739C211yesmaximal, characteristic, complemented
3#21450065C211yesmaximal, characteristic, complemented
4#21449954C211yesmaximal, characteristic, complemented
5#21449947C211yesmaximal, characteristic, complemented
6#21449866C211yesmaximal, characteristic, complemented
7#21449859C211yesmaximal, characteristic, complemented
8#21449769C211yesmaximal, characteristic, complemented
9#21449762C211yesmaximal, characteristic, complemented
10#21449646C211yesmaximal, characteristic, complemented
11#21449572C211yesmaximal, characteristic, complemented
12#21449487C211yesmaximal, characteristic, complemented
13#21449365C211yesmaximal, characteristic, complemented
14#21449299C211yesmaximal, characteristic, complemented
15#21449214C211yesmaximal, characteristic, complemented
16#21449196C211yesmaximal, characteristic
17#21449148C211yesmaximal, characteristic, complemented
18#21449108C211yesmaximal, characteristic, complemented
19#21449085C211yesmaximal, characteristic, complemented
20#21449064C211yesmaximal, characteristic, complemented
21#21449056C211yesmaximal, characteristic, complemented
22#21448351C211yesmaximal, characteristic, complemented
23#21448340C211yesmaximal, characteristic, complemented
24#21448331C211yesmaximal, characteristic, complemented
25#21448324C211yesmaximal, characteristic, complemented
26#21448324C211yesmaximal, characteristic, complemented
27#21448259C211yesmaximal, characteristic, complemented
28#21448257C211yesmaximal, characteristic, complemented
29#21448201C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
31C61×#2481C211yesmaximal, characteristic, complemented
32C23×D244C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840295—28no—
36C2×#14519771C2211yescharacteristic, complemented
37C2×#14519767C2211yescharacteristic, complemented
38C2×#14519763C2211yescharacteristic, complemented
39C2×#14519762C2211yescharacteristic
40C2×#14519762C2211yescharacteristic
41C2×#14519759C2211yescharacteristic, complemented
42C2×#14519755C2211yescharacteristic, complemented
43C2×#14519754C2211yescharacteristic
44C2×#14519750C2211yescharacteristic
45C2×#14519750C2211yescharacteristic
46C2×#14519745C2211yescharacteristic
47C2×#14519745C2211yescharacteristic
48C2×#14519742C2211yescharacteristic, complemented
49C2×D4×Dic61C2211yescharacteristic
50C2×#14519739—28no—
51C2×#14519739C2211yescharacteristic
52C2×#14519739C2211yescharacteristic
53C2×#14519739C2211yescharacteristic
54C2×#14519739C2211yescharacteristic
55C2×#14519739C2211yescharacteristic
56C2×#14519739C2211yescharacteristic
57C2×#14519739C2211yescharacteristic
58C2×#14519739C2211yescharacteristic
59C2×#14519737C2211yescharacteristic, complemented
60C2×#14519737C2211yescharacteristic, complemented
61C2×#14519737C2211yescharacteristic, complemented
62C2×#14519737C2211yescharacteristic, complemented
63C2×#14519735C2211yescharacteristic, complemented
64C2×#14519735C2211yescharacteristic, complemented
65C2×#14519733C2211yescharacteristic, complemented
66C22×#11758198C2211yescharacteristic
67C22×#11758198C2211yescharacteristic
68C2×C22⋊C4×D61C2211yescharacteristic
69C2×C22⋊C4×D61C2211yescharacteristic
70C22×C4×Dic61C2211yescharacteristic
71C2×C42×D61C2211yescharacteristic, complemented
72C2×C42×D61C2211yescharacteristic, complemented
73#16839700C2211yescharacteristic, complemented
74#16839697C2211yescharacteristic, complemented
75#16839695C2211yescharacteristic, complemented
76#16839693C2211yescharacteristic, complemented
77#16839692C2211yescharacteristic, complemented
78#16839691C2211yescharacteristic, complemented
79#16839691C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic, complemented
81#16839691C2211yescharacteristic, complemented
82#16839691C2211yescharacteristic, complemented
83#16839689C2211yescharacteristic, complemented
84#16839686C2211yescharacteristic, complemented
85#16839686C2211yescharacteristic, complemented
86#16839684C2211yescharacteristic, complemented
87#16839680C2211yescharacteristic
88#16839680C2211yescharacteristic
89#16839680C2211yescharacteristic
90#16839680C2211yescharacteristic
91#16839679C2211yescharacteristic
92#16839679C2211yescharacteristic
93#16839678C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic, complemented
95#16839677C2211yescharacteristic, complemented
96#16839677C2211yescharacteristic, complemented
97#16839675C2211yescharacteristic, complemented
98#16839675C2211yescharacteristic, complemented
99#16839671C2211yescharacteristic
100#16839671C2211yescharacteristic
101#16839666C2211yescharacteristic, complemented
102#16839662C2211yescharacteristic, complemented
103#16839657C2211yescharacteristic, complemented
104#16839657C2211yescharacteristic, complemented
105#16839656C2211yescharacteristic, complemented
106#16839654C2211yescharacteristic, complemented
107#16839653C2211yescharacteristic, complemented
108#16839653C2211yescharacteristic, complemented
109#16839653C2211yescharacteristic, complemented
110#16839651C2211yescharacteristic, complemented
111#16839650C2211yescharacteristic, complemented
112#16839648C2211yescharacteristic, complemented
113#16839647C2211yescharacteristic, complemented
114#16839647C2211yescharacteristic, complemented
115#16839645C2211yescharacteristic, complemented
116#16839643C2211yescharacteristic, complemented
117#16839643C2211yescharacteristic, complemented
118#16839642C2211yescharacteristic
119#16839640C2211yescharacteristic
120#16839640C2211yescharacteristic
121#16839640C2211yescharacteristic
122#16839640C2211yescharacteristic
123#16839638C2211yescharacteristic, complemented
124#16839638C2211yescharacteristic, complemented
125#16839638C2211yescharacteristic, complemented
126#16839638C2211yescharacteristic, complemented
127#16839638C2211yescharacteristic, complemented
128#16839636C2211yescharacteristic, complemented
129#16839636C2211yescharacteristic, complemented
130#16839636C2211yescharacteristic, complemented
131#16839636C2211yescharacteristic, complemented
132#16839636C2211yescharacteristic, complemented
133#16839636C2211yescharacteristic, complemented
134#16839635C2211yescharacteristic
135#16839635C2211yescharacteristic
136#16839635C2211yescharacteristic
137#16839635C2211yescharacteristic
138#16839634C2211yescharacteristic
139#16839633C2211yescharacteristic, complemented
140#16839624C2211yescharacteristic, complemented
141#16839624C2211yescharacteristic, complemented
142#16839624C2211yescharacteristic, complemented
143#16839622C2211yescharacteristic
144#16839621C2211yescharacteristic, complemented
145#16839620C2211yescharacteristic
146#16839619C2211yescharacteristic, complemented
147#16839619C2211yescharacteristic, complemented
148#16839617C2211yescharacteristic
149#16839617C2211yescharacteristic
150#16839617C2211yescharacteristic
151#16839617C2211yescharacteristic
152C4⋊C4×Dic61C2211yescharacteristic, complemented
153#16839613C2211yescharacteristic, complemented
154#16839613C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156C22⋊C4×Dic61C2211yescharacteristic
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic, complemented
160C4×#11758198C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic, complemented
162C4×C22⋊Dic61C2211yescharacteristic
163#16839609C2211yescharacteristic, complemented
164#16839609C2211yescharacteristic, complemented
165#16839609C2211yescharacteristic, complemented
166#16839609C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic, complemented
169#16839609C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839607C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173#95×D61C2211yescharacteristic, complemented
174C2×#126×C61C2211yescharacteristic, complemented
175C22×C4⋊C4×C61C2211yescharacteristic
176C61×#400C2211yescharacteristic, complemented
177C61×#400C2211yescharacteristic, complemented
178C61×#397C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic, complemented
180C61×#388C2211yescharacteristic, complemented
181C61×#387C2211yescharacteristic, complemented
182C61×#387C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#385C2211yescharacteristic
187C61×#380C2211yescharacteristic
188C4×C22⋊C4×C61C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×D244—24no—
193C22×D244—24no—
194C22×D244—24no—
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C22×C4×D61—24no—
207C22×C4×D61—24no—
208C22×C4×D61—24no—
209C22×C4×D61—24no—
210C22×C4×D61—42no—
211C22×C4×D61—42no—
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224#14519771—24no—
225#14519767—24no—
226#14519763—24no—
227#14519762—24no—
228#14519762—24no—
229#14519759—24no—
230#14519755—24no—
231#14519754—24no—
232#14519750—24no—
233#14519750—24no—
234#14519745—24no—
235#14519745—24no—
236#14519742—24no—
237D4×Dic61—24no—
238#14519739—24no—
239#14519739—24no—
240#14519739—24no—
241#14519739—24no—
242#14519739—24no—
243#14519739—24no—
244#14519739—24no—
245#14519739D418yescomplemented
246#14519737—24no—
247#14519737—24no—
248#14519737—42no—
249#14519737—42no—
250#14519735—24no—
251#14519735—42no—
252#14519733—24no—
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×#11758198—24no—
279C2×#11758198—24no—
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C22⋊C4×D61—24no—
313C22⋊C4×D61—24no—
314C2×C4×Dic61—24no—
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326C2×C4×Dic61C2311yescharacteristic
327C2×C4×Dic61C2311yescharacteristic
328C42×D61—24no—
329C42×D61—42no—
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358#126×C61—24no—
359C2×C4⋊C4×C61—24no—
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C42×C61C2311yescharacteristic
378C2×C42×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C23×D61—22no—
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—22no—
399C23×D61—22no—
400C23×D61—22no—
401C23×D61—22no—
402C23×D61—41no—
403C23×D61—41no—
404C23×D61—41no—
405C23×D61—41no—
406C23×D61#4114yes—
407C23×D61C2411yescharacteristic
408C23×D61C2411yescharacteristic
409C23×D61C2411yescharacteristic
410C23×D61C2411yescharacteristic
411C2×D4×C61—22no—
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C22×C4×C61—22no—
415C22×C4×C61—22no—
416C22×C4×C61—22no—
417C22×C4×C61—22no—
418C22×C4×C61—22no—
419C22×C4×C61—22no—
420C22×C4×C61—22no—
421C22×C4×C61—41no—
422C22×C4×C61—41no—
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C22×Dic61—22no—
449C22×Dic61—22no—
450C22×Dic61—22no—
451C22×Dic61—22no—
452C22×Dic61—22no—
453C22×Dic61—22no—
454C22×Dic61—22no—
455C22×Dic61—41no—
456C22×Dic61#4114yes—
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C2×D244—232no—
470C2×D244—22no—
471C2×D244—22no—
472C2×D244—22no—
473C2×D244—22no—
474C2×D244—22no—
475C2×D244—22no—
476C2×D244—22no—
477C2×D244—22no—
478C2×D244—22no—
479C2×D244—22no—
480C2×D244C2×D414yes—
481C2×D244#4114yes—
482C2×C4×D61—22no—
483C2×C4×D61—22no—
484C2×C4×D61—22no—
485C2×C4×D61—22no—
486C2×C4×D61—22no—
487C2×C4×D61—22no—
488C2×C4×D61—22no—
489C2×C4×D61—22no—
490C2×C4×D61—22no—
491C2×C4×D61—22no—
492C2×C4×D61—22no—
493C2×C4×D61—22no—
494C2×C4×D61—22no—
495C2×C4×D61—22no—
496C2×C4×D61—22no—
497C2×C4×D61—22no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
500C2×C4×D61—22no—
501C2×C4×D61—22no—
502C2×C4×D61—22no—
503C2×C4×D61—22no—
504C2×C4×D61—22no—
505C2×C4×D61—22no—
506C2×C4×D61—22no—
507C2×C4×D61—22no—
508C2×C4×D61—416no—
509C2×C4×D61—416no—
510C2×C4×D61—41no—
511C2×C4×D61—41no—
512C2×C4×D61—41no—
513C2×C4×D61—41no—
514C2×C4×D61—41no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61C2×D414yes—
519C2×C4×D61C2×D414yes—
520C2×Dic122—22no—
521C2×Dic122—22no—
522C2×Dic122—41no—
523C4⋊C4×C61—22no—
524C4⋊C4×C61—22no—
525C4⋊C4×C61—22no—
526C4⋊C4×C61—22no—
527C4⋊C4×C61—22no—
528C4⋊C4×C61—22no—
529C4⋊C4×C61—41no—
530C4⋊C4×C61C2×D414yes—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—22no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—22no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C42×C61—22no—
541C42×C61—41no—
542C22⋊Dic61—22no—
543C22⋊Dic61—22no—
544C22⋊Dic61—22no—
545C22⋊Dic61—22no—
546C22⋊Dic61—22no—
547C22⋊Dic61—41no—
548C22⋊Dic61#4114yes—
549#11758198—22no—
550#11758198—22no—
551#11758198—22no—
552#11758198—22no—
553#11758198—22no—
554#11758198—22no—
555#11758198—22no—
556#11758198—22no—
557#11758198—22no—
558#11758198—22no—
559#11758198—22no—
560#11758198—22no—
561#11758198—22no—
562#11758198—22no—
563#11758198—22no—
564#11758198—22no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—41no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198—41no—
579#11758198C2×D414yes—
580#11758198C2×D414yes—
581C4⋊Dic61—22no—
582C4⋊Dic61—22no—
583C4⋊Dic61—22no—
584C4⋊Dic61—41no—
585#11758196—22no—
586#11758196—22no—
587#11758196—22no—
588#11758196—22no—
589#11758196—22no—
590#11758196—22no—
591#11758196—22no—
592#11758196—22no—
593#11758196—22no—
594#11758196—22no—
595#11758196—41no—
596#11758196—41no—
597#11758196—41no—
598#11758196—41no—
599C4×Dic61—22no—
600C4×Dic61—22no—
601C4×Dic61—22no—
602C4×Dic61—22no—
603C4×Dic61—22no—
604C4×Dic61—22no—
605C4×Dic61—22no—
606C4×Dic61—22no—
607C4×Dic61—22no—
608C4×Dic61—22no—
609C4×Dic61—22no—
610C4×Dic61—41no—
611C4×Dic61C2×D414yes—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61C2×#4112yes—
624C23×C61C2×#4112yes—
625C23×C61C2×#4112yes—
626C23×C61C2511yescharacteristic
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
630C22×D61—21no—
631C22×D61—28no—
632C22×D61—28no—
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—28no—
652C22×D61—44no—
653C22×D61—44no—
654C22×D61—44no—
655C22×D61—44no—
656C22×D61—44no—
657C22×D61—44no—
658C22×D61—44no—
659C22×D61—44no—
660C22×D61—44no—
661C22×D61—44no—
662C22×D61—44no—
663C22×D61C22×D412yes—
664C22×D61C22×D412yes—
665C22×D61C2×#4112yes—
666C22×D61C2×#4112yes—
667C22×D61C2×#4112yes—
668C22×D61C2×#4112yes—
669D4×C61—44no—
670C2×C4×C61—28no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—44no—
707C2×C4×C61—44no—
708C2×C4×C61C22×D412yes—
709C2×C4×C61C22×D412yes—
710C2×C4×C61C22×D412yes—
711C2×C4×C61C2×#4112yes—
712C22⋊D61—44no—
713C22⋊D61—44no—
714C22⋊D61—44no—
715C22⋊D61—44no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—28no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—44no—
747C2×Dic61—44no—
748C2×Dic61C22×D412yes—
749C2×Dic61C22×D412yes—
750C2×Dic61C2×#4112yes—
751C2×Dic61C2×#4112yes—
752C2×Dic61C2×#4112yes—
753C2×Dic61C2×#4112yes—
754C2×Dic61H(5,𝔽2)12yes—
755D244—28no—
756D244—28no—
757D244—28no—
758D244—28no—
759C4×D61—28no—
760C4×D61—28no—
761C4×D61—44no—
762C4×D61—44no—
763C4×D61—44no—
764C4×D61—44no—
765C4×D61—44no—
766C4×D61—44no—
767C4×D61—44no—
768C4×D61—44no—
769C4×D61—44no—
770C4×D61—44no—
771Dic122—44no—
772#34670—611nomaximal, Sylow
773C22×C61—22no—
774C22×C61—22no—
775C22×C61—22no—
776C22×C61—22no—
777C22×C61—22no—
778C22×C61—22no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61#52914yescomplemented
787C22×C61C23×D411yescharacteristic
788C22×C61C22×#4111yescharacteristic
789C22×C61C22×#4111yescharacteristic
790C22×C61C22×#4111yescharacteristic
791C22×C61C22×#4111yescharacteristic
792C22×C61C2×H(5,𝔽2)11yescharacteristic
793C22×C61#58511yescharacteristic
794C2×D61—22no—
795C2×D61—22no—
796C2×D61—22no—
797C2×D61—22no—
798C2×D61—22no—
799C2×D61—22no—
800C2×D61—22no—
801C2×D61—22no—
802C2×D61—22no—
803C2×D61—22no—
804C2×D61—22no—
805C2×D61—22no—
806C2×D61—22no—
807C2×D61—22no—
808C2×D61—22no—
809C2×D61—416no—
810C2×D61—416no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61#52514yes—
824C4×C61—22no—
825C4×C61—22no—
826C4×C61—22no—
827C4×C61—22no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837Dic61—22no—
838Dic61—22no—
839Dic61—22no—
840Dic61—22no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61#54614yes—
849C2×#529—611no—
850C22×C4×D4—611no—
851#2481D6111yescharacteristic, complemented
852#2480—611no—
853#2473—611no—
854#2472—611no—
855#2467—611no—
856#2466—611no—
857#2460—611no—
858#2459—611no—
859#2450—611no—
860#2444—611no—
861#2437—611no—
862#2425—611no—
863#2419—611no—
864#2412—611no—
865#2410—611no—
866#2405—611no—
867#2398—611no—
868#2395—611no—
869#2392—611no—
870#2392—611no—
871C4×C22⋊Q8—611no—
872C4×#123—611no—
873C4×#121—611no—
874C4×#120—611no—
875C4×#120—611no—
876#2290—611no—
877#2290—611no—
878#2280—611no—
879C2×C4×C22⋊C4—611no—
880C2×C61—24no—
881C2×C61—81no—
882C2×C61C2×#52511yescharacteristic
883C2×C61C2×#52911yescharacteristic
884C2×C61#345911yescharacteristic
885C2×C61C2×#54611yescharacteristic
886C2×C61D4×#4111yescharacteristic
887C2×C61#347511yescharacteristic
888C2×C61#348111yescharacteristic
889D61—24no—
890D61—42no—
891D61—42no—
892D61—42no—
893C23×D4—611no—
894C24×C4—611no—
895C24×C4—611no—
896#529—1228no—
897C2×#126—611no—
898C2×#126C2×D6111yescharacteristic, complemented
899C2×#125—611no—
900C2×#124—611no—
901C2×#123—611no—
902C2×#123—611no—
903C2×#123—611no—
904C2×C22⋊Q8—611no—
905C2×C22⋊Q8—611no—
906C2×#121—611no—
907C2×#121—611no—
908C2×#120—611no—
909C2×#120—611no—
910C2×C4×Q8—611no—
911C2×C4×D4—611no—
912C2×C4×D4—611no—
913C2×C4×D4—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—611no—
917C2×C4×D4—611no—
918C2×C4×D4—611no—
919C2×C4×D4—611no—
920C2×C4×D4—611no—
921C2×C4×D4—611no—
922C2×C4×D4—611no—
923C2×C4×D4—611no—
924C2×C4×D4—1228no—
925C2×#117—611no—
926C2×#117—611no—
927C2×#117—611no—
928C22×C4⋊C4C2×D6111yescharacteristic
929C22×C22⋊C4—611no—
930C22×C22⋊C4—611no—
931C22×C22⋊C4—611no—
932C22×C22⋊C4—611no—
933C22×C42—611no—
934C22×C42—611no—
935C22×C42—611no—
936#400—611no—
937#400C2×D6111yescharacteristic, complemented
938#400C2×D6111yescharacteristic, complemented
939#399—611no—
940#398—611no—
941#398—611no—
942#398—611no—
943#397—611no—
944#397—611no—
945#397—611no—
946#397—611no—
947#397—611no—
948#397—611no—
949#397C2×D6111yescharacteristic, complemented
950#396—611no—
951#396—611no—
952#396—611no—
953#396C2×D6111yescharacteristic, complemented
954#394—611no—
955#394—611no—
956#394—611no—
957#394—611no—
958#394—611no—
959#394—611no—
960#394—611no—
961#394—611no—
962#394—611no—
963#394—611no—
964#393—611no—
965#393—611no—
966#392—611no—
967#392—611no—
968#391—611no—
969#390—611no—
970#389—611no—
971#389—611no—
972#388—611no—
973#388—611no—
974#388—611no—
975#388—611no—
976#388—611no—
977#388—611no—
978#388—611no—
979#388C2×D6111yescharacteristic, complemented
980#387—611no—
981#387—611no—
982#387—611no—
983#387—611no—
984#387—611no—
985#387—611no—
986#387C2×D6111yescharacteristic, complemented
987#387C2×D6111yescharacteristic, complemented
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#386—611no—
997#386—611no—
998#386C2×D6111yescharacteristic
999#386C2×D6111yescharacteristic
1000#386C2×D6111yescharacteristic
1001#385—611no—
1002#385—611no—
1003#385—611no—
1004#385—611no—
1005#385—611no—
1006#385—611no—
1007#385—611no—
1008#385—611no—
1009#385—611no—
1010#385—611no—
1011#385—611no—
1012#385—611no—
1013#385C2×D6111yescharacteristic
1014#381—611no—
1015#381—611no—
1016#381—611no—
1017#380—611no—
1018#380—611no—
1019#380—611no—
1020#380—611no—
1021#380—611no—
1022#380C2×D6111yescharacteristic
1023#379—611no—
1024#379—611no—
1025#379—611no—
1026#379—611no—
1027C4×C4⋊C4—611no—
1028C4×C4⋊C4—611no—
1029C4×C4⋊C4—611no—
1030C4×C4⋊C4—611no—
1031C4×C22⋊C4—611no—
1032C4×C22⋊C4—611no—
1033C4×C22⋊C4—611no—
1034C4×C22⋊C4—611no—
1035C4×C22⋊C4—611no—
1036C4×C22⋊C4—611no—
1037C4×C22⋊C4—611no—
1038C4×C22⋊C4—611no—
1039C4×C22⋊C4—611no—
1040C4×C22⋊C4—611no—
1041C4×C22⋊C4—611no—
1042C4×C22⋊C4—611no—
1043C4×C22⋊C4—611no—
1044C4×C22⋊C4—611no—
1045C4×C22⋊C4—611no—
1046C4×C22⋊C4C2×D6111yescharacteristic
1047#376—611no—
1048C2×#95—611no—
1049C2×#95—611no—
1050C61#3467011yescharacteristic, complemented, Sylow
1051C25—611no—
1052C25—611no—
1053C22×Q8—611no—
1054C22×D4—611no—
1055C22×D4—611no—
1056C22×D4—611no—
1057C22×D4—611no—
1058C22×D4—611no—
1059C22×D4—611no—
1060C22×D4—611no—
1061C22×D4—611no—
1062C22×D4—1224no—
1063C22×D4—1224no—
1064C22×D4—1224no—
1065C22×D4C22×D6111yescharacteristic
1066C23×C4—611no—
1067C23×C4—611no—
1068C23×C4—611no—
1069C23×C4—611no—
1070C23×C4—611no—
1071C23×C4—611no—
1072C23×C4—611no—
1073C23×C4—611no—
1074C23×C4—611no—
1075C23×C4—611no—
1076C23×C4—611no—
1077C23×C4—611no—
1078C23×C4—611no—
1079C23×C4—611no—
1080C23×C4—611no—
1081C23×C4—1224no—
1082C23×C4—1224no—
1083C23×C4—1224no—
1084C23×C4—1224no—
1085C23×C4—2442no—
1086C23×C4—2442no—
1087C23×C4C22×D6111yescharacteristic
1088C23×C4C22×D6111yescharacteristic
1089C23×C4C22×D6111yescharacteristic
1090#126—24no—
1091#126—1224no—
1092#125—1224no—
1093#124—1224no—
1094#123—1224no—
1095#123—1224no—
1096#123—1224no—
1097C22⋊Q8—1224no—
1098C22⋊Q8—1224no—
1099#121—1224no—
1100#121—1224no—
1101#120—1224no—
1102#120—1224no—
1103C4×Q8—1224no—
1104C4×D4—618no—
1105C4×D4—1224no—
1106C4×D4—1224no—
1107C4×D4—1224no—
1108C4×D4—1224no—
1109C4×D4—1224no—
1110C4×D4—1224no—
1111C4×D4—1224no—
1112C4×D4—1224no—
1113C4×D4—1224no—
1114C4×D4—1224no—
1115C4×D4—2442no—
1116C4×D4—2442no—
1117#117—1224no—
1118#117—1224no—
1119#117—2442no—
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—611no—
1122C2×C4⋊C4—611no—
1123C2×C4⋊C4—611no—
1124C2×C4⋊C4—611no—
1125C2×C4⋊C4—611no—
1126C2×C4⋊C4—611no—
1127C2×C4⋊C4—611no—
1128C2×C4⋊C4—611no—
1129C2×C4⋊C4—611no—
1130C2×C4⋊C4—611no—
1131C2×C4⋊C4—611no—
1132C2×C4⋊C4—611no—
1133C2×C4⋊C4—611no—
1134C2×C4⋊C4—611no—
1135C2×C4⋊C4—611no—
1136C2×C4⋊C4—611no—
1137C2×C4⋊C4—611no—
1138C2×C4⋊C4—611no—
1139C2×C4⋊C4C22×D6111yescharacteristic
1140C2×C4⋊C4C22×D6111yescharacteristic
1141C2×C4⋊C4C22×D6111yescharacteristic
1142C2×C4⋊C4C22×D6111yescharacteristic
1143C2×C4⋊C4C22×D6111yescharacteristic
1144C2×C4⋊C4C22×D6111yescharacteristic
1145C2×C4⋊C4C22×D6111yescharacteristic
1146C2×C4⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4—611no—
1148C2×C22⋊C4—611no—
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—1224no—
1187C2×C22⋊C4—1224no—
1188C2×C22⋊C4—1224no—
1189C2×C22⋊C4—1224no—
1190C2×C22⋊C4C22×D6111yescharacteristic
1191C2×C22⋊C4C22×D6111yescharacteristic
1192C2×C22⋊C4C22×D6111yescharacteristic
1193C2×C22⋊C4C22×D6111yescharacteristic
1194C2×C22⋊C4C22×D6111yescharacteristic
1195C2×C22⋊C4C22×D6111yescharacteristic
1196C2×C22⋊C4C22×D6111yescharacteristic
1197C2×C22⋊C4C22×D6111yescharacteristic
1198C2×C22⋊C4C22×D6111yescharacteristic
1199C2×C42—611no—
1200C2×C42—611no—
1201C2×C42—611no—
1202C2×C42—611no—
1203C2×C42—611no—
1204C2×C42—611no—
1205C2×C42—611no—
1206C2×C42—611no—
1207C2×C42—611no—
1208C2×C42—611no—
1209C2×C42—611no—
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—1224no—
1213C2×C42—1224no—
1214C2×C42—2442no—
1215C2×C42C22×D6111yescharacteristic
1216C2×C42C22×D6111yescharacteristic
1217#95—611no—
1218#95—611no—
1219#95—611no—
1220#95—611no—
1221#95—611no—
1222#95—611no—
1223#95—611no—
1224#95—611no—
1225#95—611no—
1226#95—611no—
1227#95—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95C22×D6111yescharacteristic
1242#95C22×D6111yescharacteristic
1243#95C22×D6111yescharacteristic
1244#95C22×D6111yescharacteristic
1245#95C22×D6111yescharacteristic
1246#95C22×D6111yescharacteristic
1247#95C22×D6111yescharacteristic
1248#95C22×D6111yescharacteristic
1249#95C22×D6111yescharacteristic
1250#95C22×D6111yescharacteristic
1251#95C22×D6111yescharacteristic
1252#95C22×D6111yescharacteristic
1253C24—611no—
1254C24—611no—
1255C24—611no—
1256C24—611no—
1257C24—614no—
1258C24—1222no—
1259C24—1222no—
1260C24—1222no—
1261C24—1222no—
1262C24—1222no—
1263C24—1222no—
1264C24—1222no—
1265C24—1222no—
1266C24—1222no—
1267C24—2441no—
1268C24—2441no—
1269C24—2441no—
1270C24—2441no—
1271C24C23×D6111yescharacteristic
1272C24C23×D6111yescharacteristic
1273C2×Q8—1222no—
1274C2×Q8—1222no—
1275C2×Q8—2441no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—614no—
1280C2×D4—614no—
1281C2×D4—1222no—
1282C2×D4—1222no—
1283C2×D4—1222no—
1284C2×D4—1222no—
1285C2×D4—1222no—
1286C2×D4—1222no—
1287C2×D4—1222no—
1288C2×D4—1222no—
1289C2×D4—12232no—
1290C2×D4—1222no—
1291C2×D4—1222no—
1292C2×D4—1222no—
1293C2×D4—1222no—
1294C2×D4—1222no—
1295C2×D4—1222no—
1296C2×D4—1222no—
1297C2×D4—1222no—
1298C2×D4—1222no—
1299C2×D4—1222no—
1300C2×D4—2441no—
1301C2×D4—2441no—
1302C2×D4—2441no—
1303C2×D4—2441no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—611no—
1314C22×C4—614no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—614no—
1320C22×C4—614no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—611no—
1325C22×C4—611no—
1326C22×C4—611no—
1327C22×C4—611no—
1328C22×C4—1222no—
1329C22×C4—1222no—
1330C22×C4—1222no—
1331C22×C4—1222no—
1332C22×C4—1222no—
1333C22×C4—1222no—
1334C22×C4—1222no—
1335C22×C4—1222no—
1336C22×C4—1222no—
1337C22×C4—1222no—
1338C22×C4—1222no—
1339C22×C4—1222no—
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—1222no—
1351C22×C4—1222no—
1352C22×C4—1222no—
1353C22×C4—1222no—
1354C22×C4—1222no—
1355C22×C4—1222no—
1356C22×C4—1222no—
1357C22×C4—1222no—
1358C22×C4—1222no—
1359C22×C4—1222no—
1360C22×C4—1222no—
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—24416no—
1370C22×C4—24416no—
1371C22×C4—2441no—
1372C22×C4C23×D6111yescharacteristic
1373C22×C4C23×D6111yescharacteristic
1374C22×C4C23×D6111yescharacteristic
1375C22×C4C23×D6111yescharacteristic
1376C22×C4C23×D6111yescharacteristic
1377C22×C4C23×D6111yescharacteristic
1378C22×C4C23×D6111yescharacteristic
1379C22×C4C23×D6111yescharacteristic
1380C22×C4C23×D6111yescharacteristic
1381C22×C4C23×D6111yescharacteristic
1382C22×C4C23×D6111yescharacteristic
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—41no—
1392C4⋊C4—1222no—
1393C4⋊C4—1222no—
1394C4⋊C4—1222no—
1395C4⋊C4—1222no—
1396C4⋊C4—1222no—
1397C4⋊C4—1222no—
1398C4⋊C4—1222no—
1399C4⋊C4—1222no—
1400C4⋊C4—1222no—
1401C4⋊C4—1222no—
1402C4⋊C4—1222no—
1403C4⋊C4—1222no—
1404C4⋊C4—1222no—
1405C4⋊C4—2441no—
1406C4⋊C4—2441no—
1407C4⋊C4—2441no—
1408C4⋊C4—2441no—
1409C4⋊C4—2441no—
1410C4⋊C4D4×D6114yes—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—614no—
1421C22⋊C4—614no—
1422C22⋊C4—614no—
1423C22⋊C4—1222no—
1424C22⋊C4—1222no—
1425C22⋊C4—1222no—
1426C22⋊C4—1222no—
1427C22⋊C4—1222no—
1428C22⋊C4—1222no—
1429C22⋊C4—1222no—
1430C22⋊C4—1222no—
1431C22⋊C4—1222no—
1432C22⋊C4—1222no—
1433C22⋊C4—1222no—
1434C22⋊C4—1222no—
1435C22⋊C4—1222no—
1436C22⋊C4—1222no—
1437C22⋊C4—1222no—
1438C22⋊C4—1222no—
1439C22⋊C4—1222no—
1440C22⋊C4—1222no—
1441C22⋊C4—1222no—
1442C22⋊C4—1222no—
1443C22⋊C4—1222no—
1444C22⋊C4—1222no—
1445C22⋊C4—1222no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
1448C22⋊C4—1222no—
1449C22⋊C4—1222no—
1450C22⋊C4—2441no—
1451C22⋊C4—2441no—
1452C22⋊C4—2441no—
1453C22⋊C4—2441no—
1454C22⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4—2441no—
1459C42—22no—
1460C42—41no—
1461C42—614no—
1462C42—1222no—
1463C42—1222no—
1464C42—1222no—
1465C42—1222no—
1466C42—1222no—
1467C42—1222no—
1468C42—1222no—
1469C42—1222no—
1470C42—1222no—
1471C42—1222no—
1472C42—1222no—
1473C42—2441no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—612no—
1486C23—612no—
1487C23—612no—
1488C23—612no—
1489C23—612no—
1490C23—612no—
1491C23—1228no—
1492C23—1228no—
1493C23—1221no—
1494C23—1221no—
1495C23—1221no—
1496C23—1221no—
1497C23—1228no—
1498C23—1221no—
1499C23—1221no—
1500C23—1221no—
1501C23—1221no—
1502C23—1221no—
1503C23—1221no—
1504C23—1221no—
1505C23—1221no—
1506C23—1221no—
1507C23—1221no—
1508C23—1221no—
1509C23—1221no—
1510C23—1221no—
1511C23—1221no—
1512C23—1221no—
1513C23—1221no—
1514C23—1221no—
1515C23—1221no—
1516C23—2444no—
1517C23—2444no—
1518C23—2444no—
1519C23—2444no—
1520C23—2444no—
1521C23—2444no—
1522C23—2444no—
1523C23—2444no—
1524C23—2444no—
1525C23—2444no—
1526C23—2444no—
1527C23#41×D6112yes—
1528C23#41×D6112yes—
1529C23#41×D6112yes—
1530C23C24×D6111yescharacteristic
1531Q8—2444no—
1532D4—44no—
1533D4—1228no—
1534D4—1228no—
1535D4—1228no—
1536D4—1228no—
1537D4—2444no—
1538D4—2444no—
1539D4—2444no—
1540D4—2444no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—612no—
1580C2×C4—612no—
1581C2×C4—612no—
1582C2×C4—612no—
1583C2×C4—612no—
1584C2×C4—612no—
1585C2×C4—612no—
1586C2×C4—1228no—
1587C2×C4—1228no—
1588C2×C4—1228no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—1221no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—2444no—
1619C2×C4—2444no—
1620C2×C4—2444no—
1621C2×C4—2444no—
1622C2×C4—2444no—
1623C2×C4—2444no—
1624C2×C4—2444no—
1625C2×C4—2444no—
1626C2×C4—2444no—
1627C2×C4—2444no—
1628C2×C4—2444no—
1629C2×C4—2444no—
1630C2×C4C2×D4×D6112yes—
1631C2×C4C2×D4×D6112yes—
1632C2×C4C2×D4×D6112yes—
1633C2×C4#41×D6112yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—614no—
1648C22—1222no—
1649C22—1222no—
1650C22—1222no—
1651C22—1222no—
1652C22—1222no—
1653C22—1222no—
1654C22—1222no—
1655C22—1222no—
1656C22—1222no—
1657C22—1222no—
1658C22—1222no—
1659C22—1222no—
1660C22—1222no—
1661C22—1222no—
1662C22—1222no—
1663C22—24416no—
1664C22—24416no—
1665C22—2441no—
1666C22—2441no—
1667C22—2441no—
1668C22—2441no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22—2441no—
1675C22—2441no—
1676C22—2441no—
1677C22#1684029514yescomplemented
1678C22C22×D4×D6111yescharacteristic
1679C22C2×#41×D6111yescharacteristic
1680C22C2×#41×D6111yescharacteristic
1681C22C2×#41×D6111yescharacteristic
1682C22C2×#41×D6111yescharacteristic
1683C22H(5,𝔽2)×D6111yescharacteristic
1684C22#1684059911yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—614no—
1699C4—1222no—
1700C4—1222no—
1701C4—1222no—
1702C4—1222no—
1703C4—2441no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C2—24no—
1711C2—81no—
1712C2—1224no—
1713C2—2442no—
1714C2—2442no—
1715C2—2442no—
1716C2#525×D6111yescharacteristic
1717C2C2×#1684029511yescharacteristic
1718C2#2145922711yescharacteristic
1719C2#546×D6111yescharacteristic
1720C2#2145930811yescharacteristic
1721C2#2145938411yescharacteristic
1722C2#2145942611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2481C2
prime radical#21449196C2
hypercenter#2481D61
hypocenterC61#34670
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#16840295C2semidirect
2. C22×#14519739C2semidirect
3. #21450065C2semidirect
4. #21449954C2semidirect
5. #21449947C2semidirect
6. #21449866C2semidirect
7. #21449859C2semidirect
8. #21449769C2semidirect
9. #21449762C2semidirect
10. #21449646C2semidirect
11. #21449572C2semidirect
12. #21449487C2semidirect
13. #21449365C2semidirect
14. #21449299C2semidirect
15. #21449214C2semidirect
17. #21449148C2semidirect
18. #21449108C2semidirect
19. #21449085C2semidirect
20. #21449064C2semidirect
21. #21449056C2semidirect
22. #21448351C2semidirect
23. #21448340C2semidirect
24. #21448331C2semidirect
25. #21448324C2semidirect
26. #21448324C2semidirect
27. #21448259C2semidirect
28. #21448257C2semidirect
29. #21448201C2semidirect
30. C4×C22⋊C4×D61C2semidirect
31. C61×#2481C2semidirect
36. C2×#14519771C22semidirect
37. C2×#14519767C22semidirect
38. C2×#14519763C22semidirect
41. C2×#14519759C22semidirect
42. C2×#14519755C22semidirect
48. C2×#14519742C22semidirect
59. C2×#14519737C22semidirect
60. C2×#14519737C22semidirect
61. C2×#14519737C22semidirect
62. C2×#14519737C22semidirect
63. C2×#14519735C22semidirect
64. C2×#14519735C22semidirect
65. C2×#14519733C22semidirect
71. C2×C42×D61C22semidirect
72. C2×C42×D61C22semidirect
73. #16839700C22semidirect
74. #16839697C22semidirect
75. #16839695C22semidirect
76. #16839693C22semidirect
77. #16839692C22semidirect
78. #16839691C22semidirect
79. #16839691C22semidirect
80. #16839691C22semidirect
81. #16839691C22semidirect
82. #16839691C22semidirect
83. #16839689C22semidirect
84. #16839686C22semidirect
85. #16839686C22semidirect
86. #16839684C22semidirect
93. #16839678C22semidirect
94. #16839678C22semidirect
95. #16839677C22semidirect
96. #16839677C22semidirect
97. #16839675C22semidirect
98. #16839675C22semidirect
101. #16839666C22semidirect
102. #16839662C22semidirect
103. #16839657C22semidirect
104. #16839657C22semidirect
105. #16839656C22semidirect
106. #16839654C22semidirect
107. #16839653C22semidirect
108. #16839653C22semidirect
109. #16839653C22semidirect
110. #16839651C22semidirect
111. #16839650C22semidirect
112. #16839648C22semidirect
113. #16839647C22semidirect
114. #16839647C22semidirect
115. #16839645C22semidirect
116. #16839643C22semidirect
117. #16839643C22semidirect
123. #16839638C22semidirect
124. #16839638C22semidirect
125. #16839638C22semidirect
126. #16839638C22semidirect
127. #16839638C22semidirect
128. #16839636C22semidirect
129. #16839636C22semidirect
130. #16839636C22semidirect
131. #16839636C22semidirect
132. #16839636C22semidirect
133. #16839636C22semidirect
139. #16839633C22semidirect
140. #16839624C22semidirect
141. #16839624C22semidirect
142. #16839624C22semidirect
144. #16839621C22semidirect
146. #16839619C22semidirect
147. #16839619C22semidirect
152. C4⋊C4×Dic61C22semidirect
153. #16839613C22semidirect
154. #16839613C22semidirect
155. #16839613C22semidirect
159. C22⋊C4×Dic61C22semidirect
160. C4×#11758198C22semidirect
161. C4×#11758198C22semidirect
163. #16839609C22semidirect
164. #16839609C22semidirect
165. #16839609C22semidirect
166. #16839609C22semidirect
167. #16839609C22semidirect
168. #16839609C22semidirect
169. #16839609C22semidirect
170. #16839609C22semidirect
171. #16839607C22semidirect
172. #95×D61C22semidirect
173. #95×D61C22semidirect
174. C2×#126×C61C22semidirect
176. C61×#400C22semidirect
177. C61×#400C22semidirect
178. C61×#397C22semidirect
179. C61×#396C22semidirect
180. C61×#388C22semidirect
181. C61×#387C22semidirect
182. C61×#387C22semidirect
245. #14519739D4semidirect
786. C22×C61#529semidirect
851. #2481D61semidirect
898. C2×#126C2×D61semidirect
937. #400C2×D61semidirect
938. #400C2×D61semidirect
949. #397C2×D61semidirect
953. #396C2×D61semidirect
979. #388C2×D61semidirect
986. #387C2×D61semidirect
987. #387C2×D61semidirect
1050. C61#34670semidirect
1677. C22#16840295semidirect

Maximal subgroups

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

subgroupindex
C2×#168402952
C22×#145197392
#214500652
#214499542
#214499472
#214498662
#214498592
#214497692
#214497622
#214496462
#214495722
#214494872
#214493652
#214492992
#214492142
#214491962
#214491482
#214491082
#214490852
#214490642
#214490562
#214483512
#214483402
#214483312
#214483242
#214482592
#214482572
#214482012
C4×C22⋊C4×D612
C61×#24812
#3467061