Finite Group Databasebeta

← #29887398

Subgroups — #29887398

Order 15616.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840352C211yesmaximal, characteristic, complemented
2C2×#16840345C211yesmaximal, characteristic, complemented
3#21454102C211yesmaximal, characteristic, complemented
4#21454100C211yesmaximal, characteristic, complemented
5#21452730C211yesmaximal, characteristic, complemented
6#21452637C211yesmaximal, characteristic, complemented
7#21452630C211yesmaximal, characteristic, complemented
8#21452589C211yesmaximal, characteristic, complemented
9#21452360C211yesmaximal, characteristic, complemented
10#21452355C211yesmaximal, characteristic, complemented
11#21452328C211yesmaximal, characteristic, complemented
12#21452307C211yesmaximal, characteristic, complemented
13#21452306C211yesmaximal, characteristic, complemented
14#21452126C211yesmaximal, characteristic, complemented
15#21452116C211yesmaximal, characteristic, complemented
16#21452112C211yesmaximal, characteristic, complemented
17#21452067C211yesmaximal, characteristic, complemented
18#21452066C211yesmaximal, characteristic, complemented
19#21452062C211yesmaximal, characteristic, complemented
20#21452052C211yesmaximal, characteristic, complemented
21#21451559C211yesmaximal, characteristic, complemented
22#21451556C211yesmaximal, characteristic, complemented
23#21451001C211yesmaximal, characteristic, complemented
24#21450997C211yesmaximal, characteristic, complemented
25#21450783C211yesmaximal, characteristic, complemented
26#21450775C211yesmaximal, characteristic, complemented
27#21449269C211yesmaximal, characteristic, complemented
28#21449258C211yesmaximal, characteristic, complemented
29#21449253C211yesmaximal, characteristic, complemented
30C2×#16839633C211yesmaximal, characteristic, complemented
31C61×#2417C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33#16840352—28no—
34#16840345—28no—
35C2×#14519772C2211yescharacteristic
36C2×#14519772C2211yescharacteristic
37C2×#14519772C2211yescharacteristic
38C2×#14519771C2211yescharacteristic
39C2×#14519766C2211yescharacteristic
40C2×#14519766C2211yescharacteristic
41C2×#14519765C2211yescharacteristic
42C2×#14519763C2211yescharacteristic
43C2×#14519762C2211yescharacteristic
44C2×#14519762C2211yescharacteristic
45C2×#14519762C2211yescharacteristic
46C2×#14519760C2211yescharacteristic
47C2×#14519755C2211yescharacteristic, complemented
48C2×#14519754C2211yescharacteristic
49C2×#14519752C2211yescharacteristic
50C2×#14519752C2211yescharacteristic
51C2×#14519752C2211yescharacteristic
52C2×#14519752C2211yescharacteristic
53C2×#14519752C2211yescharacteristic, complemented
54C2×#14519751C2211yescharacteristic
55C2×#14519751C2211yescharacteristic
56C2×#14519751C2211yescharacteristic
57C2×#14519751C2211yescharacteristic
58C2×#14519750C2211yescharacteristic
59C2×#14519750C2211yescharacteristic
60C2×#14519750C2211yescharacteristic
61C2×#14519750C2211yescharacteristic, complemented
62C2×#14519749C2211yescharacteristic
63C2×#14519749C2211yescharacteristic
64C2×#14519749C2211yescharacteristic
65C2×#14519747C2211yescharacteristic
66C2×#14519747C2211yescharacteristic
67C2×#14519747C2211yescharacteristic
68C2×#14519745C2211yescharacteristic
69C2×C4×C22⋊D61C2211yescharacteristic
70C2×#14519737C2211yescharacteristic
71C2×#14519737C2211yescharacteristic
72C22×#11758196C2211yescharacteristic
73C22×#11758198C2211yescharacteristic
74C22×#11758198C2211yescharacteristic
75#16839703C2211yescharacteristic, complemented
76#16839700C2211yescharacteristic, complemented
77#16839697C2211yescharacteristic, complemented
78#16839697C2211yescharacteristic, complemented
79#16839696C2211yescharacteristic, complemented
80#16839696C2211yescharacteristic, complemented
81#16839693C2211yescharacteristic, complemented
82#16839692C2211yescharacteristic, complemented
83#16839691C2211yescharacteristic
84#16839691C2211yescharacteristic
85#16839691C2211yescharacteristic, complemented
86#16839689C2211yescharacteristic
87#16839689C2211yescharacteristic
88#16839687C2211yescharacteristic, complemented
89#16839686C2211yescharacteristic, complemented
90#16839686C2211yescharacteristic, complemented
91#16839685C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839684C2211yescharacteristic, complemented
94#16839684C2211yescharacteristic, complemented
95#16839682C2211yescharacteristic, complemented
96#16839681C2211yescharacteristic, complemented
97#16839680C2211yescharacteristic
98#16839680C2211yescharacteristic
99#16839680C2211yescharacteristic, complemented
100#16839679C2211yescharacteristic
101#16839679C2211yescharacteristic
102#16839679C2211yescharacteristic
103#16839679C2211yescharacteristic
104#16839679C2211yescharacteristic, complemented
105#16839679C2211yescharacteristic, complemented
106#16839679C2211yescharacteristic, complemented
107#16839677C2211yescharacteristic
108#16839677C2211yescharacteristic
109#16839677C2211yescharacteristic, complemented
110#16839677C2211yescharacteristic, complemented
111#16839675C2211yescharacteristic, complemented
112#16839673C2211yescharacteristic, complemented
113#16839672C2211yescharacteristic
114#16839672C2211yescharacteristic
115#16839671C2211yescharacteristic
116#16839671C2211yescharacteristic
117#16839671C2211yescharacteristic, complemented
118#16839671C2211yescharacteristic, complemented
119#16839666C2211yescharacteristic, complemented
120#16839663C2211yescharacteristic, complemented
121#16839662C2211yescharacteristic, complemented
122#16839661C2211yescharacteristic, complemented
123#16839659C2211yescharacteristic, complemented
124#16839657C2211yescharacteristic, complemented
125#16839655C2211yescharacteristic, complemented
126#16839653C2211yescharacteristic, complemented
127#16839653C2211yescharacteristic, complemented
128#16839651C2211yescharacteristic, complemented
129#16839648C2211yescharacteristic, complemented
130#16839644C2211yescharacteristic, complemented
131#16839643C2211yescharacteristic, complemented
132#16839643C2211yescharacteristic, complemented
133#16839641C2211yescharacteristic
134#16839641C2211yescharacteristic
135#16839641C2211yescharacteristic, complemented
136#16839641C2211yescharacteristic, complemented
137#16839640C2211yescharacteristic
138#16839640C2211yescharacteristic
139#16839640C2211yescharacteristic
140#16839640C2211yescharacteristic
141#16839640C2211yescharacteristic
142#16839640C2211yescharacteristic
143#16839640C2211yescharacteristic, complemented
144#16839639C2211yescharacteristic
145#16839639C2211yescharacteristic
146#16839639C2211yescharacteristic
147#16839639C2211yescharacteristic
148#16839638C2211yescharacteristic
149#16839638C2211yescharacteristic
150#16839638C2211yescharacteristic, complemented
151#16839636C2211yescharacteristic, complemented
152#16839633C2211yescharacteristic
153#16839633C2211yescharacteristic
154#16839633C2211yescharacteristic
155#16839633C2211yescharacteristic
156#16839633C2211yescharacteristic
157#16839633C2211yescharacteristic
158#16839633C2211yescharacteristic
159#16839633C2211yescharacteristic
160#16839633C2211yescharacteristic, complemented
161#16839633C2211yescharacteristic, complemented
162#16839633C2211yescharacteristic, complemented
163#16839621C2211yescharacteristic
164#16839621C2211yescharacteristic
165#16839621C2211yescharacteristic, complemented
166#16839621C2211yescharacteristic, complemented
167#16839620C2211yescharacteristic
168#16839620C2211yescharacteristic
169#16839619C2211yescharacteristic
170#16839619C2211yescharacteristic
171#16839619C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic
173C2×#14519684C2211yescharacteristic
174C2×C22⋊Q8×C61C2211yescharacteristic
175C2×C22⋊Q8×C61C2211yescharacteristic, complemented
176C2×C4×D4×C61C2211yescharacteristic
177C22×C4⋊C4×C61C2211yescharacteristic
178C61×#398C2211yescharacteristic, complemented
179C61×#398C2211yescharacteristic, complemented
180C61×#396C2211yescharacteristic, complemented
181C61×#396C2211yescharacteristic, complemented
182C61×#391C2211yescharacteristic, complemented
183C61×#389C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#380C2211yescharacteristic
187C61×#380C2211yescharacteristic
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C22×C4×D61—42no—
212C22×C4×D61—42no—
213C22×C4×D61—42no—
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221#14519772—24no—
222#14519772—24no—
223#14519772—24no—
224#14519771—24no—
225#14519766—24no—
226#14519766—24no—
227#14519765—24no—
228#14519763—24no—
229#14519762—24no—
230#14519762—24no—
231#14519762—24no—
232#14519760—24no—
233#14519755—42no—
234#14519754—24no—
235#14519752—24no—
236#14519752—24no—
237#14519752—42no—
238#14519752—42no—
239#14519752—42no—
240#14519751—24no—
241#14519751—24no—
242#14519751—42no—
243#14519751—42no—
244#14519750—24no—
245#14519750—42no—
246#14519750—42no—
247#14519750—42no—
248#14519749—24no—
249#14519749—42no—
250#14519749—42no—
251#14519747—24no—
252#14519747—24no—
253#14519747—24no—
254#14519745—24no—
255C4×C22⋊D61—24no—
256#14519737—24no—
257#14519737—24no—
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×#11758196—42no—
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×#11758198—42no—
284C2×#11758198D418yescomplemented
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
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326C2×C4×Dic61C2311yescharacteristic
327C2×C4×Dic61C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
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
352C22×Q8×C61C2311yescharacteristic
353C22×D4×C61C2311yescharacteristic
354C23×C4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C22⋊Q8×C61—24no—
359C22⋊Q8×C61—42no—
360C4×D4×C61—24no—
361C2×C4⋊C4×C61—42no—
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×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C4⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C42×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—41no—
396C23×D61—41no—
397C23×D61—41no—
398C23×D61—41no—
399C23×D61C2×D414yes—
400C23×D61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C2×Q8×C61—22no—
406C2×Q8×C61—41no—
407C2×Q8×C61—41no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
411C22×C4×C61—22no—
412C22×C4×C61—22no—
413C22×C4×C61—22no—
414C22×C4×C61—22no—
415C22×C4×C61—41no—
416C22×C4×C61—41no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61—41no—
420C22×C4×C61—41no—
421C22×C4×C61—41no—
422C22×C4×C61C2×D414yes—
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—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C2×C22⋊D61—41no—
460C22×Dic61—22no—
461C22×Dic61—22no—
462C22×Dic61—22no—
463C22×Dic61—41no—
464C22×Dic61—41no—
465C22×Dic61—41no—
466C22×Dic61—41no—
467C22×Dic61—41no—
468C22×Dic61C2×D414yes—
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C2×D244—22no—
481C2×D244—22no—
482C2×D244—22no—
483C2×D244—22no—
484C2×D244—22no—
485C2×D244—22no—
486C2×D244—22no—
487C2×D244—22no—
488C2×D244—41no—
489C2×D244—41no—
490C2×D244—41no—
491C2×D244—41no—
492C2×D244—41no—
493C2×D244—41no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×D244—41no—
498C2×D244—41no—
499C2×D244—41no—
500C2×D244—41no—
501C2×D244—41no—
502C2×D244—41no—
503C2×D244—41no—
504C2×D244—41no—
505C2×D244—41no—
506C2×D244—41no—
507C2×C4×D61—22no—
508C2×C4×D61—22no—
509C2×C4×D61—22no—
510C2×C4×D61—22no—
511C2×C4×D61—22no—
512C2×C4×D61—22no—
513C2×C4×D61—22no—
514C2×C4×D61—41no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—416no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61—41no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×Dic122—22no—
530C2×Dic122—41no—
531C2×Dic122—41no—
532C4⋊C4×C61—22no—
533C4⋊C4×C61—22no—
534C4⋊C4×C61—22no—
535C4⋊C4×C61—22no—
536C4⋊C4×C61—22no—
537C4⋊C4×C61—22no—
538C4⋊C4×C61—22no—
539C4⋊C4×C61—41no—
540C4⋊C4×C61—41no—
541C4⋊C4×C61—41no—
542C4⋊C4×C61—41no—
543C4⋊C4×C61—41no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—22no—
547C22⋊C4×C61—22no—
548C22⋊C4×C61—22no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C42×C61—22no—
553C22⋊Dic61—22no—
554C22⋊Dic61—22no—
555C22⋊Dic61—41no—
556C22⋊Dic61—41no—
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—22no—
572#11758198—22no—
573#11758198—22no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198—41no—
579#11758198—41no—
580#11758198—41no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585#11758198—41no—
586#11758198—41no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198C2×D414yes—
594#11758198C2×D414yes—
595#11758198C2×D414yes—
596#11758198C2×D414yes—
597C4⋊Dic61—22no—
598C4⋊Dic61—22no—
599C4⋊Dic61—41no—
600C4⋊Dic61—41no—
601#11758196—22no—
602#11758196—22no—
603#11758196—22no—
604#11758196—22no—
605#11758196—22no—
606#11758196—22no—
607#11758196—22no—
608#11758196—22no—
609#11758196—22no—
610#11758196—41no—
611#11758196—41no—
612#11758196—41no—
613#11758196—41no—
614#11758196—41no—
615#11758196—41no—
616#11758196—41no—
617C4×Dic61—22no—
618C4×Dic61—22no—
619C4×Dic61—22no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61C22×D412yes—
632C23×C61H(5,𝔽2)12yes—
633C23×C612−1+412yes—
634C23×C61C2511yescharacteristic
635C22×D61—28no—
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—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—44no—
670C22×D61—44no—
671C22×D61—44no—
672C22×D61—44no—
673C22×D61—44no—
674C22×D61—44no—
675C22×D61C22×D412yes—
676C22×D61C22×D412yes—
677Q8×C61—82no—
678D4×C61—44no—
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—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—44no—
716C2×C4×C61—44no—
717C2×C4×C61—82no—
718C2×C4×C61—82no—
719C2×C4×C61C22×D412yes—
720C2×C4×C61C22×D412yes—
721C2×C4×C61H(5,𝔽2)12yes—
722C22⋊D61—44no—
723C22⋊D61—44no—
724C22⋊D61—44no—
725C22⋊D61—82no—
726C22⋊D61—82no—
727C22⋊D61—82no—
728C22⋊D61—82no—
729C22⋊D61—82no—
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—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—44no—
761C2×Dic61—44no—
762C2×Dic61—82no—
763C2×Dic61C22×D412yes—
764C2×Dic61C22×D412yes—
765C2×Dic61H(5,𝔽2)12yes—
766D244—82no—
767D244—82no—
768D244—82no—
769D244—82no—
770D244—82no—
771D244—82no—
772D244—82no—
773D244—82no—
774D244—82no—
775C4×D61—44no—
776C4×D61—44no—
777C4×D61—44no—
778C4×D61—44no—
779C4×D61—82no—
780C4×D61—82no—
781C4×D61—82no—
782Dic122—82no—
783#36738—611nomaximal, Sylow
784C22×C61—22no—
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—22no—
789C22×C61—22no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61#53714yes—
798C22×C61C23×D411yescharacteristic
799C22×C61C2×H(5,𝔽2)11yescharacteristic
800C22×C61C2×H(5,𝔽2)11yescharacteristic
801C22×C61C2×H(5,𝔽2)11yescharacteristic
802C22×C61C2×2−1+411yescharacteristic
803C22×C61#58511yescharacteristic
804C22×C61#58511yescharacteristic
805C2×D61—22no—
806C2×D61—22no—
807C2×D61—22no—
808C2×D61—22no—
809C2×D61—22no—
810C2×D61—22no—
811C2×D61—416no—
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—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C4×C61—22no—
842C4×C61—22no—
843C4×C61—22no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854Dic61—22no—
855Dic61—22no—
856Dic61—22no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860Dic61—41no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865C2×#538—611no—
866C2×#538—611no—
867#2847—611no—
868#2847—611no—
869#2722—611no—
870#2715—611no—
871#2715—611no—
872#2712—611no—
873#2695—611no—
874#2695—611no—
875#2693—611no—
876#2691—611no—
877#2691—611no—
878#2676—611no—
879#2676—611no—
880#2675—611no—
881#2672—611no—
882#2672—611no—
883#2671—611no—
884#2671—611no—
885#2617—611no—
886#2617—611no—
887#2564—611no—
888#2564—611no—
889#2543—611no—
890#2543—611no—
891#2417—611no—
892#2417D6111yescharacteristic, complemented
893#2416—611no—
894#2416—611no—
895C2×#385—611no—
896C2×C61—24no—
897C2×C61—81no—
898C2×C61C2×#53711yescharacteristic
899C2×C61#349611yescharacteristic
900C2×C61#349611yescharacteristic
901C2×C61#353211yescharacteristic
902C2×C61#353311yescharacteristic
903C2×C61#354111yescharacteristic
904C2×C61#354111yescharacteristic
905D61—42no—
906D61—42no—
907D61—81no—
908D61—81no—
909D61—81no—
910C24×C4—611no—
911#538—1228no—
912#538—1228no—
913C2×#126—611no—
914C2×#126—611no—
915C2×#126—611no—
916C2×#126—611no—
917C2×#124—611no—
918C2×#124—611no—
919C2×#124—611no—
920C2×#124—611no—
921C2×#123—611no—
922C2×#123—611no—
923C2×#123—611no—
924C2×#123—611no—
925C2×C22⋊Q8—611no—
926C2×C22⋊Q8—611no—
927C2×C22⋊Q8C2×D6111yescharacteristic
928C2×C22⋊Q8C2×D6111yescharacteristic, complemented
929C2×#121—611no—
930C2×#121—611no—
931C2×#121—611no—
932C2×#121—611no—
933C2×#121—611no—
934C2×#121—611no—
935C2×#121—611no—
936C2×#121—611no—
937C2×#121—611no—
938C2×#121—611no—
939C2×#121—611no—
940C2×#121—611no—
941C2×#121—611no—
942C2×#121—611no—
943C2×#121—611no—
944C2×#121—611no—
945C2×#120—611no—
946C2×#120—611no—
947C2×#120—611no—
948C2×#120—611no—
949C2×C4×D4—611no—
950C2×C4×D4—611no—
951C2×C4×D4—611no—
952C2×C4×D4C2×D6111yescharacteristic
953C22×C4⋊C4—611no—
954C22×C4⋊C4C2×D6111yescharacteristic
955C22×C22⋊C4—611no—
956C22×C22⋊C4—611no—
957#400—611no—
958#400—611no—
959#399—611no—
960#399—611no—
961#398—611no—
962#398—611no—
963#398—611no—
964#398—611no—
965#398C2×D6111yescharacteristic, complemented
966#398C2×D6111yescharacteristic, complemented
967#397—611no—
968#397—611no—
969#397—611no—
970#397—611no—
971#397—611no—
972#397—611no—
973#396—611no—
974#396—611no—
975#396—611no—
976#396—611no—
977#396—611no—
978#396—611no—
979#396C2×D6111yescharacteristic, complemented
980#396C2×D6111yescharacteristic, complemented
981#395—611no—
982#395—611no—
983#394—611no—
984#394—611no—
985#394—611no—
986#394—611no—
987#394—611no—
988#394—611no—
989#394—611no—
990#394—611no—
991#394—611no—
992#394—611no—
993#394—611no—
994#394—611no—
995#394—611no—
996#394—611no—
997#393—611no—
998#393—611no—
999#392—611no—
1000#392—611no—
1001#392—611no—
1002#392—611no—
1003#392—611no—
1004#392—611no—
1005#391—611no—
1006#391C2×D6111yescharacteristic, complemented
1007#390—611no—
1008#390—611no—
1009#389—611no—
1010#389—611no—
1011#389—611no—
1012#389C2×D6111yescharacteristic, complemented
1013#388—611no—
1014#388—611no—
1015#388—611no—
1016#388—611no—
1017#387—611no—
1018#387—611no—
1019#387—611no—
1020#387—611no—
1021#386—611no—
1022#386—611no—
1023#386—611no—
1024#386—611no—
1025#386—611no—
1026#386—611no—
1027#386—611no—
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#386C2×D6111yescharacteristic
1040#386C2×D6111yescharacteristic
1041#385—611no—
1042#385—611no—
1043#385—611no—
1044#385—611no—
1045#385—611no—
1046#385—611no—
1047#385—611no—
1048#385—611no—
1049#385—611no—
1050#385—611no—
1051#385—611no—
1052#385—611no—
1053#380—611no—
1054#380—611no—
1055#380—611no—
1056#380—611no—
1057#380—611no—
1058#380—611no—
1059#380—611no—
1060#380—611no—
1061#380—611no—
1062#380C2×D6111yescharacteristic
1063#380C2×D6111yescharacteristic
1064#380C2×D6111yescharacteristic, complemented
1065C2×#95—611no—
1066C2×#95—611no—
1067C61#3673811yescharacteristic, complemented, Sylow
1068C25—611no—
1069C22×Q8—611no—
1070C22×Q8C22×D6111yescharacteristic
1071C22×D4—611no—
1072C22×D4—611no—
1073C22×D4—611no—
1074C22×D4—611no—
1075C22×D4—611no—
1076C22×D4—611no—
1077C22×D4—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4C22×D6111yescharacteristic
1089C23×C4—611no—
1090C23×C4—611no—
1091C23×C4—611no—
1092C23×C4—611no—
1093C23×C4—611no—
1094C23×C4—611no—
1095C23×C4—611no—
1096C23×C4—611no—
1097C23×C4—611no—
1098C23×C4—611no—
1099C23×C4—2442no—
1100C23×C4—2442no—
1101C23×C4—2442no—
1102C23×C4C22×D6111yescharacteristic
1103C23×C4C22×D6111yescharacteristic
1104C23×C4C22×D6111yescharacteristic
1105C23×C4C22×D6111yescharacteristic
1106#126—1224no—
1107#126—1224no—
1108#126—1224no—
1109#126—1224no—
1110#124—1224no—
1111#124—1224no—
1112#124—1224no—
1113#124—1224no—
1114#123—1224no—
1115#123—1224no—
1116#123—1224no—
1117#123—1224no—
1118C22⋊Q8—24no—
1119C22⋊Q8—42no—
1120C22⋊Q8—1224no—
1121C22⋊Q8—2442no—
1122#121—1224no—
1123#121—1224no—
1124#121—1224no—
1125#121—1224no—
1126#121—1224no—
1127#121—1224no—
1128#121—2442no—
1129#121—2442no—
1130#121—2442no—
1131#121—2442no—
1132#121—2442no—
1133#121—2442no—
1134#121—2442no—
1135#121—2442no—
1136#121—2442no—
1137#121—2442no—
1138#120—1224no—
1139#120—1224no—
1140#120—1224no—
1141#120—1224no—
1142C4×D4—24no—
1143C4×D4—1224no—
1144C4×D4—1224no—
1145C4×D4—1224no—
1146C2×C4⋊C4—42no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4—611no—
1149C2×C4⋊C4—611no—
1150C2×C4⋊C4—611no—
1151C2×C4⋊C4—611no—
1152C2×C4⋊C4—611no—
1153C2×C4⋊C4—611no—
1154C2×C4⋊C4—611no—
1155C2×C4⋊C4—611no—
1156C2×C4⋊C4—611no—
1157C2×C4⋊C4—611no—
1158C2×C4⋊C4—611no—
1159C2×C4⋊C4—611no—
1160C2×C4⋊C4—611no—
1161C2×C4⋊C4—611no—
1162C2×C4⋊C4—611no—
1163C2×C4⋊C4—611no—
1164C2×C4⋊C4—611no—
1165C2×C4⋊C4—611no—
1166C2×C4⋊C4—611no—
1167C2×C4⋊C4—2442no—
1168C2×C4⋊C4C22×D6111yescharacteristic
1169C2×C4⋊C4C22×D6111yescharacteristic
1170C2×C4⋊C4C22×D6111yescharacteristic
1171C2×C4⋊C4C22×D6111yescharacteristic
1172C2×C4⋊C4C22×D6111yescharacteristic
1173C2×C4⋊C4C22×D6111yescharacteristic
1174C2×C4⋊C4C22×D6111yescharacteristic
1175C2×C4⋊C4C22×D6111yescharacteristic
1176C2×C4⋊C4C22×D6111yescharacteristic
1177C2×C4⋊C4C22×D6111yescharacteristic
1178C2×C4⋊C4C22×D6111yescharacteristic
1179C2×C4⋊C4C22×D6111yescharacteristic
1180C2×C22⋊C4—618no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—2442no—
1226C2×C22⋊C4C22×D6111yescharacteristic
1227C2×C22⋊C4C22×D6111yescharacteristic
1228C2×C22⋊C4C22×D6111yescharacteristic
1229C2×C22⋊C4C22×D6111yescharacteristic
1230C2×C22⋊C4C22×D6111yescharacteristic
1231C2×C22⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4C22×D6111yescharacteristic
1234C2×C42—611no—
1235C2×C42—611no—
1236C2×C42—611no—
1237C2×C42C22×D6111yescharacteristic
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95—611no—
1245#95—611no—
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95—611no—
1255#95—611no—
1256#95—611no—
1257#95—611no—
1258#95—611no—
1259#95—611no—
1260#95—611no—
1261#95—611no—
1262#95C22×D6111yescharacteristic
1263#95C22×D6111yescharacteristic
1264#95C22×D6111yescharacteristic
1265#95C22×D6111yescharacteristic
1266#95C22×D6111yescharacteristic
1267#95C22×D6111yescharacteristic
1268#95C22×D6111yescharacteristic
1269#95C22×D6111yescharacteristic
1270C24—611no—
1271C24—611no—
1272C24—614no—
1273C24—611no—
1274C24—611no—
1275C24—611no—
1276C24—1222no—
1277C24—1222no—
1278C24—2441no—
1279C24—2441no—
1280C24—2441no—
1281C24—2441no—
1282C24C23×D6111yescharacteristic
1283C24C23×D6111yescharacteristic
1284C2×Q8—22no—
1285C2×Q8—41no—
1286C2×Q8—41no—
1287C2×Q8—1222no—
1288C2×Q8—2441no—
1289C2×Q8—2441no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—1222no—
1294C2×D4—1222no—
1295C2×D4—1222no—
1296C2×D4—1222no—
1297C2×D4—1222no—
1298C2×D4—1222no—
1299C2×D4—1222no—
1300C2×D4—1222no—
1301C2×D4—1222no—
1302C2×D4—1222no—
1303C2×D4—1222no—
1304C2×D4—1222no—
1305C2×D4—1222no—
1306C2×D4—1222no—
1307C2×D4—1222no—
1308C2×D4—1222no—
1309C2×D4—1222no—
1310C2×D4—1222no—
1311C2×D4—1222no—
1312C2×D4—1222no—
1313C2×D4—1222no—
1314C2×D4—2441no—
1315C2×D4—2441no—
1316C2×D4—2441no—
1317C2×D4—2441no—
1318C2×D4—2441no—
1319C2×D4—2441no—
1320C2×D4—2441no—
1321C2×D4—2441no—
1322C2×D4—2441no—
1323C2×D4—2441no—
1324C2×D4—2441no—
1325C2×D4—2441no—
1326C2×D4—2441no—
1327C2×D4—2441no—
1328C2×D4—2441no—
1329C2×D4—2441no—
1330C2×D4—2441no—
1331C2×D4—2441no—
1332C2×D4—2441no—
1333C2×D4—2441no—
1334C2×D4—2441no—
1335C2×D4—2441no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—614no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—1222no—
1368C22×C4—1222no—
1369C22×C4—1222no—
1370C22×C4—1222no—
1371C22×C4—1222no—
1372C22×C4—1222no—
1373C22×C4—1222no—
1374C22×C4—1222no—
1375C22×C4—1222no—
1376C22×C4—1222no—
1377C22×C4—2441no—
1378C22×C4—2441no—
1379C22×C4—2441no—
1380C22×C4—2441no—
1381C22×C4—2441no—
1382C22×C4—2441no—
1383C22×C4—2441no—
1384C22×C4—2441no—
1385C22×C4—2441no—
1386C22×C4—2441no—
1387C22×C4—2441no—
1388C22×C4—2441no—
1389C22×C4—2441no—
1390C22×C4—2441no—
1391C22×C4—24416no—
1392C22×C4—2441no—
1393C22×C4—2441no—
1394C22×C4—2441no—
1395C22×C4—2441no—
1396C22×C4—2441no—
1397C22×C4D4×D6114yes—
1398C22×C4C23×D6111yescharacteristic
1399C22×C4C23×D6111yescharacteristic
1400C22×C4C23×D6111yescharacteristic
1401C22×C4C23×D6111yescharacteristic
1402C22×C4C23×D6111yescharacteristic
1403C22×C4C23×D6111yescharacteristic
1404C22×C4C23×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406C22×C4C23×D6111yescharacteristic
1407C22×C4C23×D6111yescharacteristic
1408C22×C4C23×D6111yescharacteristic
1409C22×C4C23×D6111yescharacteristic
1410C22×C4C23×D6111yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—1222no—
1424C4⋊C4—1222no—
1425C4⋊C4—1222no—
1426C4⋊C4—1222no—
1427C4⋊C4—1222no—
1428C4⋊C4—1222no—
1429C4⋊C4—1222no—
1430C4⋊C4—1222no—
1431C4⋊C4—1222no—
1432C4⋊C4—1222no—
1433C4⋊C4—1222no—
1434C4⋊C4—2441no—
1435C4⋊C4—2441no—
1436C4⋊C4—2441no—
1437C4⋊C4—2441no—
1438C4⋊C4—2441no—
1439C4⋊C4—2441no—
1440C4⋊C4—2441no—
1441C4⋊C4—2441no—
1442C4⋊C4—2441no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—614no—
1452C22⋊C4—614no—
1453C22⋊C4—614no—
1454C22⋊C4—614no—
1455C22⋊C4—1222no—
1456C22⋊C4—1222no—
1457C22⋊C4—1222no—
1458C22⋊C4—1222no—
1459C22⋊C4—1222no—
1460C22⋊C4—1222no—
1461C22⋊C4—1222no—
1462C22⋊C4—1222no—
1463C22⋊C4—1222no—
1464C22⋊C4—1222no—
1465C22⋊C4—1222no—
1466C22⋊C4—1222no—
1467C22⋊C4—1222no—
1468C22⋊C4—1222no—
1469C22⋊C4—1222no—
1470C22⋊C4—1222no—
1471C22⋊C4—1222no—
1472C22⋊C4—1222no—
1473C22⋊C4—1222no—
1474C22⋊C4—2441no—
1475C22⋊C4—2441no—
1476C22⋊C4—2441no—
1477C22⋊C4—2441no—
1478C22⋊C4—2441no—
1479C22⋊C4—2441no—
1480C22⋊C4—2441no—
1481C22⋊C4—2441no—
1482C22⋊C4—2441no—
1483C22⋊C4—2441no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C22⋊C4—2441no—
1488C22⋊C4—2441no—
1489C22⋊C4—2441no—
1490C22⋊C4—2441no—
1491C22⋊C4—2441no—
1492C22⋊C4—2441no—
1493C22⋊C4—2441no—
1494C22⋊C4—2441no—
1495C42—22no—
1496C42—1222no—
1497C42—1222no—
1498C42—1222no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—612no—
1511C23—612no—
1512C23—1221no—
1513C23—1221no—
1514C23—1221no—
1515C23—1221no—
1516C23—1221no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23—1228no—
1521C23—1221no—
1522C23—1221no—
1523C23—1221no—
1524C23—1221no—
1525C23—1221no—
1526C23—1221no—
1527C23—1221no—
1528C23—1221no—
1529C23—1221no—
1530C23—1221no—
1531C23—1221no—
1532C23—1221no—
1533C23—1221no—
1534C23—1221no—
1535C23—1221no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—2444no—
1547C23—2444no—
1548C23—2444no—
1549C23—2444no—
1550C23—2444no—
1551C23—2444no—
1552C23C2×D4×D6112yes—
1553C23#1451982312yes—
1554C23#1451982512yes—
1555C23C24×D6111yescharacteristic
1556Q8—82no—
1557Q8—4882no—
1558D4—44no—
1559D4—4882no—
1560D4—4882no—
1561D4—4882no—
1562D4—4882no—
1563D4—4882no—
1564D4—4882no—
1565D4—4882no—
1566D4—4882no—
1567D4—4882no—
1568D4—4882no—
1569D4—4882no—
1570D4—4882no—
1571D4—4882no—
1572D4—4882no—
1573D4—2444no—
1574D4—2444no—
1575D4—2444no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—82no—
1615C2×C4—82no—
1616C2×C4—612no—
1617C2×C4—612no—
1618C2×C4—612no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—4882no—
1650C2×C4—4882no—
1651C2×C4—4882no—
1652C2×C4—4882no—
1653C2×C4—2444no—
1654C2×C4—2444no—
1655C2×C4—2444no—
1656C2×C4—2444no—
1657C2×C4—2444no—
1658C2×C4—2444no—
1659C2×C4C2×D4×D6112yes—
1660C2×C4C2×D4×D6112yes—
1661C2×C4#1451982212yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—1222no—
1676C22—1222no—
1677C22—1222no—
1678C22—1222no—
1679C22—1222no—
1680C22—1222no—
1681C22—24416no—
1682C22—2441no—
1683C22—2441no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22—2441no—
1688C22—2441no—
1689C22—2441no—
1690C22—2441no—
1691C22—2441no—
1692C22—2441no—
1693C22—2441no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22—2441no—
1704C22—2441no—
1705C22—2441no—
1706C22—2441no—
1707C22—2441no—
1708C22—2441no—
1709C22—2441no—
1710C22—2441no—
1711C22#1684034214yes—
1712C22C22×D4×D6111yescharacteristic
1713C22H(5,𝔽2)×D6111yescharacteristic
1714C22C2×#1451982211yescharacteristic
1715C22C2×#1451982311yescharacteristic
1716C22C2×#1451982511yescharacteristic
1717C22#1684059811yescharacteristic
1718C22#1684059911yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—1222no—
1733C4—1222no—
1734C4—1222no—
1735C4—2441no—
1736C4—2441no—
1737C4—2441no—
1738C4—2441no—
1739C4—2441no—
1740C4—2441no—
1741C4—2441no—
1742C4—2441no—
1743C2—24no—
1744C2—81no—
1745C2—4881no—
1746C2—4881no—
1747C2—4881no—
1748C2—2442no—
1749C2—2442no—
1750C2C2×#1684034211yescharacteristic
1751C2#2145957611yescharacteristic
1752C2#2145958211yescharacteristic
1753C2#2145996811yescharacteristic
1754C2#2145998511yescharacteristic
1755C2#2146010511yescharacteristic
1756C2#2146011711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2417C2
hypercenter#2417D61
hypocenterC61#36738
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2417

Complements

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

NH ≅ G/Ntype
1. C2×#16840352C2semidirect
2. C2×#16840345C2semidirect
3. #21454102C2semidirect
4. #21454100C2semidirect
5. #21452730C2semidirect
6. #21452637C2semidirect
7. #21452630C2semidirect
8. #21452589C2semidirect
9. #21452360C2semidirect
10. #21452355C2semidirect
11. #21452328C2semidirect
12. #21452307C2semidirect
13. #21452306C2semidirect
14. #21452126C2semidirect
15. #21452116C2semidirect
16. #21452112C2semidirect
17. #21452067C2semidirect
18. #21452066C2semidirect
19. #21452062C2semidirect
20. #21452052C2semidirect
21. #21451559C2semidirect
22. #21451556C2semidirect
23. #21451001C2semidirect
24. #21450997C2semidirect
25. #21450783C2semidirect
26. #21450775C2semidirect
27. #21449269C2semidirect
28. #21449258C2semidirect
29. #21449253C2semidirect
30. C2×#16839633C2semidirect
31. C61×#2417C2semidirect
47. C2×#14519755C22semidirect
53. C2×#14519752C22semidirect
61. C2×#14519750C22semidirect
75. #16839703C22semidirect
76. #16839700C22semidirect
77. #16839697C22semidirect
78. #16839697C22semidirect
79. #16839696C22semidirect
80. #16839696C22semidirect
81. #16839693C22semidirect
82. #16839692C22semidirect
85. #16839691C22semidirect
88. #16839687C22semidirect
89. #16839686C22semidirect
90. #16839686C22semidirect
91. #16839685C22semidirect
92. #16839684C22semidirect
93. #16839684C22semidirect
94. #16839684C22semidirect
95. #16839682C22semidirect
96. #16839681C22semidirect
99. #16839680C22semidirect
104. #16839679C22semidirect
105. #16839679C22semidirect
106. #16839679C22semidirect
109. #16839677C22semidirect
110. #16839677C22semidirect
111. #16839675C22semidirect
112. #16839673C22semidirect
117. #16839671C22semidirect
118. #16839671C22semidirect
119. #16839666C22semidirect
120. #16839663C22semidirect
121. #16839662C22semidirect
122. #16839661C22semidirect
123. #16839659C22semidirect
124. #16839657C22semidirect
125. #16839655C22semidirect
126. #16839653C22semidirect
127. #16839653C22semidirect
128. #16839651C22semidirect
129. #16839648C22semidirect
130. #16839644C22semidirect
131. #16839643C22semidirect
132. #16839643C22semidirect
135. #16839641C22semidirect
136. #16839641C22semidirect
143. #16839640C22semidirect
150. #16839638C22semidirect
151. #16839636C22semidirect
160. #16839633C22semidirect
161. #16839633C22semidirect
162. #16839633C22semidirect
165. #16839621C22semidirect
166. #16839621C22semidirect
171. #16839619C22semidirect
175. C2×C22⋊Q8×C61C22semidirect
178. C61×#398C22semidirect
179. C61×#398C22semidirect
180. C61×#396C22semidirect
181. C61×#396C22semidirect
182. C61×#391C22semidirect
183. C61×#389C22semidirect
188. C61×#380C22semidirect
284. C2×#11758198D4semidirect
892. #2417D61semidirect
928. C2×C22⋊Q8C2×D61semidirect
965. #398C2×D61semidirect
966. #398C2×D61semidirect
979. #396C2×D61semidirect
980. #396C2×D61semidirect
1006. #391C2×D61semidirect
1012. #389C2×D61semidirect
1064. #380C2×D61semidirect
1067. C61#36738semidirect

Maximal subgroups

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

subgroupindex
C2×#168403522
C2×#168403452
#214541022
#214541002
#214527302
#214526372
#214526302
#214525892
#214523602
#214523552
#214523282
#214523072
#214523062
#214521262
#214521162
#214521122
#214520672
#214520662
#214520622
#214520522
#214515592
#214515562
#214510012
#214509972
#214507832
#214507752
#214492692
#214492582
#214492532
C2×#168396332
C61×#24172
#3673861