Finite Group Databasebeta

← #29852572

Subgroups — #29852572

Order 15616.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840320C211yesmaximal, characteristic
2C2×C4×D4×D61C211yesmaximal, characteristic, complemented
3#21454143C211yesmaximal, characteristic, complemented
4#21454139C211yesmaximal, characteristic, complemented
5#21454114C211yesmaximal, characteristic, complemented
6#21454108C211yesmaximal, characteristic, complemented
7#21451604C211yesmaximal, characteristic, complemented
8#21451600C211yesmaximal, characteristic, complemented
9#21451593C211yesmaximal, characteristic, complemented
10#21451591C211yesmaximal, characteristic, complemented
11#21449575C211yesmaximal, characteristic, complemented
12#21449571C211yesmaximal, characteristic, complemented
13#21449567C211yesmaximal, characteristic, complemented
14#21449563C211yesmaximal, characteristic, complemented
15#21449558C211yesmaximal, characteristic, complemented
16#21449554C211yesmaximal, characteristic, complemented
17#21449550C211yesmaximal, characteristic, complemented
18#21449301C211yesmaximal, characteristic, complemented
19#21449297C211yesmaximal, characteristic, complemented
20#21449295C211yesmaximal, characteristic, complemented
21#21449291C211yesmaximal, characteristic, complemented
22#21449288C211yesmaximal, characteristic, complemented
23#21449284C211yesmaximal, characteristic, complemented
24#21449278C211yesmaximal, characteristic, complemented
25#21449274C211yesmaximal, characteristic, complemented
26#21448430C211yesmaximal, characteristic, complemented
27#21448393C211yesmaximal, characteristic, complemented
28#21448393C211yesmaximal, characteristic, complemented
29#386×D61C211yesmaximal, characteristic, complemented
30C2×#16839633C211yesmaximal, characteristic, complemented
31C61×#2443C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic, complemented
36#16840320—28no—
37C2×#14519762C2211yescharacteristic
38C2×#14519762C2211yescharacteristic
39C2×#14519762C2211yescharacteristic, complemented
40C2×#14519762C2211yescharacteristic, complemented
41C2×#14519759C2211yescharacteristic
42C2×#14519759C2211yescharacteristic
43C2×#14519758C2211yescharacteristic, complemented
44C2×#14519751C2211yescharacteristic
45C2×#14519749C2211yescharacteristic
46C2×#14519749C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×#14519747C2211yescharacteristic
49C2×#14519745C2211yescharacteristic
50C2×#14519745C2211yescharacteristic
51C2×C4×D244C2211yescharacteristic
52C2×D4×Dic61C2211yescharacteristic, complemented
53C2×#14519739C2211yescharacteristic
54C2×C4×C22⋊D61C2211yescharacteristic
55C2×C4×C22⋊D61C2211yescharacteristic, complemented
56C2×#14519737C2211yescharacteristic
57C2×#14519737C2211yescharacteristic, complemented
58C4×D4×D61—28no—
59C22×#11758196C2211yescharacteristic, complemented
60C2×C4⋊C4×D61C2211yescharacteristic, complemented
61C22×#11758198C2211yescharacteristic
62C22×#11758198C2211yescharacteristic
63C2×C22⋊C4×D61C2211yescharacteristic
64C2×C22⋊C4×D61C2211yescharacteristic
65C2×C22⋊C4×D61C2211yescharacteristic, complemented
66C2×C22⋊C4×D61C2211yescharacteristic, complemented
67C2×C22⋊C4×D61C2211yescharacteristic, complemented
68C2×C42×D61C2211yescharacteristic, complemented
69#16839703C2211yescharacteristic, complemented
70#16839703C2211yescharacteristic, complemented
71#16839702C2211yescharacteristic, complemented
72#16839700C2211yescharacteristic, complemented
73#16839698C2211yescharacteristic, complemented
74#16839697C2211yescharacteristic, complemented
75#16839697C2211yescharacteristic, complemented
76#16839695C2211yescharacteristic, complemented
77#16839695C2211yescharacteristic, complemented
78#16839692C2211yescharacteristic, complemented
79#16839691C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic, complemented
81#16839690C2211yescharacteristic, complemented
82#16839690C2211yescharacteristic, complemented
83#16839690C2211yescharacteristic, complemented
84#16839690C2211yescharacteristic, complemented
85#16839689C2211yescharacteristic, complemented
86#16839689C2211yescharacteristic, complemented
87#16839688C2211yescharacteristic, complemented
88#16839688C2211yescharacteristic, complemented
89#16839687C2211yescharacteristic, complemented
90#16839680C2211yescharacteristic, complemented
91#16839679C2211yescharacteristic, complemented
92#16839678C2211yescharacteristic, complemented
93#16839678C2211yescharacteristic, complemented
94#16839677C2211yescharacteristic, complemented
95#16839677C2211yescharacteristic, complemented
96#16839676C2211yescharacteristic, complemented
97#16839656C2211yescharacteristic, complemented
98#16839655C2211yescharacteristic, complemented
99#16839654C2211yescharacteristic, complemented
100#16839653C2211yescharacteristic, complemented
101#16839652C2211yescharacteristic, complemented
102#16839651C2211yescharacteristic, complemented
103#16839650C2211yescharacteristic, complemented
104#16839649C2211yescharacteristic, complemented
105#16839648C2211yescharacteristic, complemented
106#16839647C2211yescharacteristic, complemented
107#16839646C2211yescharacteristic, complemented
108#16839645C2211yescharacteristic, complemented
109#16839644C2211yescharacteristic, complemented
110#16839643C2211yescharacteristic, complemented
111#16839642C2211yescharacteristic, complemented
112#16839642C2211yescharacteristic, complemented
113#16839642C2211yescharacteristic, complemented
114#16839641C2211yescharacteristic, complemented
115#16839641C2211yescharacteristic, complemented
116#16839641C2211yescharacteristic, complemented
117#16839641C2211yescharacteristic, complemented
118#16839640C2211yescharacteristic
119#16839640C2211yescharacteristic
120#16839640C2211yescharacteristic
121#16839640C2211yescharacteristic
122#16839640C2211yescharacteristic
123#16839640C2211yescharacteristic
124#16839639C2211yescharacteristic, complemented
125#16839639C2211yescharacteristic, complemented
126#16839639C2211yescharacteristic, complemented
127#16839639C2211yescharacteristic, complemented
128#16839638C2211yescharacteristic
129#16839638C2211yescharacteristic
130#16839638C2211yescharacteristic
131#16839638C2211yescharacteristic
132#16839638C2211yescharacteristic
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic, complemented
135#16839638C2211yescharacteristic, complemented
136#16839637C2211yescharacteristic, complemented
137#16839636C2211yescharacteristic, complemented
138#16839636C2211yescharacteristic, complemented
139#16839635C2211yescharacteristic, complemented
140#16839634C2211yescharacteristic, complemented
141#16839634C2211yescharacteristic, complemented
142#16839633C2211yescharacteristic, complemented
143#16839633C2211yescharacteristic, complemented
144#16839633C2211yescharacteristic, complemented
145#16839633C2211yescharacteristic, complemented
146#16839633C2211yescharacteristic, complemented
147#16839633C2211yescharacteristic, complemented
148#16839633C2211yescharacteristic, complemented
149#16839633C2211yescharacteristic, complemented
150#16839633C2211yescharacteristic, complemented
151#16839633C2211yescharacteristic, complemented
152#16839633C2211yescharacteristic, complemented
153#16839633C2211yescharacteristic, complemented
154#16839625C2211yescharacteristic, complemented
155#16839624C2211yescharacteristic, complemented
156#16839624C2211yescharacteristic, complemented
157#16839624C2211yescharacteristic, complemented
158#16839624C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839624C2211yescharacteristic, complemented
161#16839623C2211yescharacteristic, complemented
162#16839621C2211yescharacteristic, complemented
163#16839621C2211yescharacteristic, complemented
164#16839619C2211yescharacteristic, complemented
165#16839619C2211yescharacteristic, complemented
166#16839617C2211yescharacteristic, complemented
167#16839617C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173#95×D61C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic
176C2×C4×D4×C61C2211yescharacteristic, complemented
177C22×C4⋊C4×C61C2211yescharacteristic, complemented
178C61×#399C2211yescharacteristic, complemented
179C61×#398C2211yescharacteristic, complemented
180C61×#397C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#387C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic, complemented
188C61×#385C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C24×D61C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C2×D4×D61—24no—
202C2×D4×D61—24no—
203C2×D4×D61—24no—
204C2×D4×D61—24no—
205C2×D4×D61—24no—
206C2×D4×D61D418yes—
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C22×C4×D61—24no—
212C22×C4×D61—24no—
213C22×C4×D61—42no—
214C22×C4×D61—42no—
215C22×C4×D61—42no—
216C22×C4×D61—42no—
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229#14519762—24no—
230#14519762—24no—
231#14519762—42no—
232#14519762—42no—
233#14519759—24no—
234#14519759—24no—
235#14519758—42no—
236#14519751—24no—
237#14519749—24no—
238#14519749—24no—
239#14519747—24no—
240#14519747—24no—
241#14519745—24no—
242#14519745—24no—
243C4×D244—24no—
244D4×Dic61—24no—
245#14519739—24no—
246C4×C22⋊D61—24no—
247C4×C22⋊D61—24no—
248#14519737—24no—
249#14519737—24no—
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×#11758196—42no—
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C4⋊C4×D61—24no—
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×#11758198—24no—
280C2×#11758198—24no—
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
311C22⋊C4×D61—24no—
312C22⋊C4×D61—24no—
313C22⋊C4×D61—24no—
314C22⋊C4×D61—42no—
315C22⋊C4×D61—42no—
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C42×D61—24no—
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
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×D4×C61C2311yescharacteristic
353C22×D4×C61C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic
359#123×C61—42no—
360#121×C61—24no—
361C4×D4×C61—24no—
362C2×C4⋊C4×C61—42no—
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×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊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
393C24×C61C2411yescharacteristic
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—22no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61—41no—
403C23×D61—41no—
404C23×D61—41no—
405C23×D61—41no—
406C23×D61—41no—
407C23×D61—41no—
408C23×D61—41no—
409C23×D61—41no—
410C23×D61—41no—
411C23×D61C2×D414yes—
412C23×D61C2×D414yes—
413C23×D61#4114yes—
414C23×D61#4114yes—
415C23×D61C2411yescharacteristic
416C23×D61C2411yescharacteristic
417C23×D61C2411yescharacteristic
418C23×D61C2411yescharacteristic
419C2×D4×C61—22no—
420C2×D4×C61—22no—
421C2×D4×C61—22no—
422C2×D4×C61—22no—
423C2×D4×C61—22no—
424C2×D4×C61—22no—
425C2×D4×C61—41no—
426C2×D4×C61—41no—
427C2×D4×C61C2×D414yes—
428C22×C4×C61—22no—
429C22×C4×C61—22no—
430C22×C4×C61—22no—
431C22×C4×C61—22no—
432C22×C4×C61—22no—
433C22×C4×C61—22no—
434C22×C4×C61—41no—
435C22×C4×C61—41no—
436C22×C4×C61—41no—
437C22×C4×C61—41no—
438C22×C4×C61—41no—
439C22×C4×C61—41no—
440C22×C4×C61C2411yescharacteristic
441C22×C4×C61C2411yescharacteristic
442C22×C4×C61C2411yescharacteristic
443C22×C4×C61C2411yescharacteristic
444C22×C4×C61C2411yescharacteristic
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C2×C22⋊D61—22no—
453C2×C22⋊D61—22no—
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—22no—
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—41no—
465C2×C22⋊D61—41no—
466C2×C22⋊D61—41no—
467C2×C22⋊D61—41no—
468C2×C22⋊D61C2×D414yes—
469C2×C22⋊D61C2×D414yes—
470C22×Dic61—22no—
471C22×Dic61—22no—
472C22×Dic61—22no—
473C22×Dic61—22no—
474C22×Dic61—22no—
475C22×Dic61—22no—
476C22×Dic61—41no—
477C22×Dic61—41no—
478C22×Dic61—41no—
479C22×Dic61—41no—
480C22×Dic61—41no—
481C22×Dic61—41no—
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487C22×Dic61C2411yescharacteristic
488C22×Dic61C2411yescharacteristic
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491C22×Dic61C2411yescharacteristic
492C22×Dic61C2411yescharacteristic
493C22×Dic61C2411yescharacteristic
494D4×D61—232no—
495D4×D61—416no—
496C2×D244—22no—
497C2×D244—22no—
498C2×D244—22no—
499C2×D244—22no—
500C2×D244—22no—
501C2×D244—22no—
502C2×D244—41no—
503C2×D244—41no—
504C2×D244C2×D414yes—
505C2×C4×D61—22no—
506C2×C4×D61—22no—
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—22no—
515C2×C4×D61—22no—
516C2×C4×D61—22no—
517C2×C4×D61—22no—
518C2×C4×D61—22no—
519C2×C4×D61—22no—
520C2×C4×D61—22no—
521C2×C4×D61—22no—
522C2×C4×D61—22no—
523C2×C4×D61—22no—
524C2×C4×D61—22no—
525C2×C4×D61—22no—
526C2×C4×D61—416no—
527C2×C4×D61—416no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×C4×D61—41no—
532C2×C4×D61—41no—
533C2×C4×D61—41no—
534C2×C4×D61—41no—
535C2×C4×D61—41no—
536C2×C4×D61—41no—
537C2×C4×D61—41no—
538C2×C4×D61—41no—
539C2×C4×D61—41no—
540C2×C4×D61—41no—
541C2×C4×D61—41no—
542C2×C4×D61C2×D414yes—
543C4⋊C4×C61—22no—
544C4⋊C4×C61—22no—
545C4⋊C4×C61—22no—
546C4⋊C4×C61—22no—
547C4⋊C4×C61—41no—
548C4⋊C4×C61—41no—
549C4⋊C4×C61—41no—
550C4⋊C4×C61—41no—
551C22⋊C4×C61—22no—
552C22⋊C4×C61—22no—
553C22⋊C4×C61—22no—
554C22⋊C4×C61—22no—
555C22⋊C4×C61—22no—
556C22⋊C4×C61—22no—
557C22⋊C4×C61—41no—
558C22⋊C4×C61—41no—
559C22⋊C4×C61—41no—
560C22⋊C4×C61—41no—
561C22⋊C4×C61—41no—
562C42×C61—22no—
563C22⋊Dic61—22no—
564C22⋊Dic61—22no—
565C22⋊Dic61—22no—
566C22⋊Dic61—22no—
567C22⋊Dic61—22no—
568C22⋊Dic61—22no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
571C22⋊Dic61—41no—
572C22⋊Dic61—41no—
573C22⋊Dic61—41no—
574#11758198—22no—
575#11758198—22no—
576#11758198—22no—
577#11758198—22no—
578#11758198—22no—
579#11758198—22no—
580#11758198—22no—
581#11758198—22no—
582#11758198—22no—
583#11758198—22no—
584#11758198—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—22no—
588#11758198—22no—
589#11758198—22no—
590#11758198—22no—
591#11758198—22no—
592#11758198—22no—
593#11758198—22no—
594#11758198—41no—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598#11758198—41no—
599#11758198—41no—
600#11758198—41no—
601#11758198—41no—
602#11758198—41no—
603#11758198—41no—
604C4⋊Dic61—22no—
605C4⋊Dic61—22no—
606C4⋊Dic61—41no—
607C4⋊Dic61—41no—
608#11758196—22no—
609#11758196—22no—
610#11758196—22no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—41no—
615#11758196—41no—
616#11758196—41no—
617#11758196—41no—
618#11758196—41no—
619#11758196—41no—
620C4×Dic61—22no—
621C4×Dic61—22no—
622C4×Dic61—22no—
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×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61C22×D412yes—
641C23×C61C22×D412yes—
642C23×C61C2×#4112yes—
643C23×C61C2×#4112yes—
644C23×C61C2511yescharacteristic
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—28no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—44no—
668C22×D61—44no—
669C22×D61—44no—
670C22×D61—44no—
671C22×D61—44no—
672C22×D61—44no—
673C22×D61—44no—
674C22×D61—44no—
675C22×D61—44no—
676C22×D61—44no—
677C22×D61—44no—
678C22×D61—44no—
679C22×D61—44no—
680C22×D61—44no—
681C22×D61—44no—
682C22×D61—82no—
683C22×D61—82no—
684C22×D61—82no—
685C22×D61—82no—
686C22×D61#123116yescomplemented
687C22×D61C22×D412yes—
688C22×D61C22×D412yes—
689C22×D61C22×D412yes—
690C22×D61C2×#4112yes—
691C22×D61C2×#4112yes—
692C22×D61C2×#4112yes—
693C22×D61C2×#4112yes—
694D4×C61—28no—
695D4×C61—44no—
696D4×C61—82no—
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—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—44no—
732C2×C4×C61—44no—
733C2×C4×C61—44no—
734C2×C4×C61—82no—
735C2×C4×C61C22×D412yes—
736C2×C4×C61H(5,𝔽2)12yes—
737C22⋊D61—28no—
738C22⋊D61—28no—
739C22⋊D61—44no—
740C22⋊D61—44no—
741C22⋊D61—82no—
742C22⋊D61—82no—
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—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—44no—
778C2×Dic61—44no—
779C2×Dic61—44no—
780C2×Dic61—82no—
781C2×Dic61C22×D412yes—
782C2×Dic61H(5,𝔽2)12yes—
783D244—28no—
784D244—44no—
785D244—82no—
786C4×D61—28no—
787C4×D61—28no—
788C4×D61—44no—
789C4×D61—44no—
790C4×D61—44no—
791C4×D61—44no—
792C4×D61—44no—
793C4×D61—44no—
794C4×D61—44no—
795C4×D61—44no—
796C4×D61—82no—
797C4×D61—82no—
798#34983—611nomaximal, Sylow
799C22×C61—22no—
800C22×C61—22no—
801C22×C61—22no—
802C22×C61—22no—
803C22×C61—22no—
804C22×C61—22no—
805C22×C61—22no—
806C22×C61—22no—
807C22×C61—22no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61C2×#12314yes—
820C22×C61C23×D411yescharacteristic
821C22×C61C22×#4111yescharacteristic
822C22×C61C22×#4111yescharacteristic
823C22×C61C2×H(5,𝔽2)11yescharacteristic
824C22×C61C2×H(5,𝔽2)11yescharacteristic
825C22×C61#58511yescharacteristic
826C22×C61#58511yescharacteristic
827C2×D61—22no—
828C2×D61—22no—
829C2×D61—22no—
830C2×D61—22no—
831C2×D61—22no—
832C2×D61—22no—
833C2×D61—22no—
834C2×D61—22no—
835C2×D61—22no—
836C2×D61—22no—
837C2×D61—22no—
838C2×D61—22no—
839C2×D61—22no—
840C2×D61—22no—
841C2×D61—22no—
842C2×D61—416no—
843C2×D61—416no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—88no—
856C2×D61C2×#12314yes—
857C2×D61C2×#12314yes—
858C4×C61—22no—
859C4×C61—22no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870Dic61—22no—
871Dic61—22no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882C2×#534—611no—
883C22×C4×D4—611no—
884#2853—611no—
885#2853—611no—
886#2849—611no—
887#2849—611no—
888#2623—611no—
889#2623—611no—
890#2622—611no—
891#2622—611no—
892#2444—611no—
893#2444—611no—
894#2444—611no—
895#2444—611no—
896#2443—611no—
897#2443—611no—
898#2443—611no—
899#2443D6111yescharacteristic, complemented
900#2419—611no—
901#2419—611no—
902#2419—611no—
903#2419—611no—
904#2418—611no—
905#2418—611no—
906#2418—611no—
907#2418—611no—
908#2315—611no—
909#2308—611no—
910#2308—611no—
911C2×#386—611no—
912C2×#385—611no—
913C2×C61—24no—
914C2×C61—42no—
915C2×C61—81no—
916C2×C61C22×#12311yescharacteristic
917C2×C61#345911yescharacteristic
918C2×C61#345911yescharacteristic
919C2×C61#348411yescharacteristic
920C2×C61#348511yescharacteristic
921C2×C61#350511yescharacteristic
922C2×C61#350511yescharacteristic
923D61—24no—
924D61—24no—
925D61—42no—
926D61—81no—
927C23×D4—611no—
928C23×D4—611no—
929C24×C4—611no—
930C24×C4—611no—
931#534—1228no—
932C2×#123—611no—
933C2×#123—611no—
934C2×#123—611no—
935C2×#123—611no—
936C2×#123—611no—
937C2×#123—611no—
938C2×#123—611no—
939C2×#123C2×D6111yescharacteristic, complemented
940C2×#121—611no—
941C2×#121—611no—
942C2×#121—611no—
943C2×#121C2×D6111yescharacteristic
944C2×#120—611no—
945C2×#120—611no—
946C2×#120—611no—
947C2×#120—611no—
948C2×C4×D4—611no—
949C2×C4×D4—611no—
950C2×C4×D4—611no—
951C2×C4×D4—611no—
952C2×C4×D4—611no—
953C2×C4×D4—611no—
954C2×C4×D4—611no—
955C2×C4×D4—1228no—
956C2×C4×D4C2×D6111yescharacteristic, complemented
957C22×C4⋊C4—611no—
958C22×C4⋊C4—611no—
959C22×C4⋊C4C2×D6111yescharacteristic, complemented
960C22×C22⋊C4—611no—
961C22×C22⋊C4—611no—
962C22×C22⋊C4—611no—
963C22×C22⋊C4—611no—
964C22×C22⋊C4—611no—
965C22×C22⋊C4—611no—
966C22×C22⋊C4—611no—
967C22×C42—611no—
968#400—611no—
969#400—611no—
970#400—611no—
971#400—611no—
972#399—611no—
973#399—611no—
974#399—611no—
975#399C2×D6111yescharacteristic, complemented
976#398—611no—
977#398—611no—
978#398—611no—
979#398C2×D6111yescharacteristic, complemented
980#397—611no—
981#397—611no—
982#397—611no—
983#397—611no—
984#397—611no—
985#397—611no—
986#397—611no—
987#397—611no—
988#397—611no—
989#397—611no—
990#397—611no—
991#397C2×D6111yescharacteristic, complemented
992#394—611no—
993#394—611no—
994#394—611no—
995#394—611no—
996#394—611no—
997#394—611no—
998#394—611no—
999#394C2×D6111yescharacteristic, complemented
1000#388—611no—
1001#388—611no—
1002#388—611no—
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388C2×D6111yescharacteristic, complemented
1008#387—611no—
1009#387—611no—
1010#387—611no—
1011#387—611no—
1012#387—611no—
1013#387—611no—
1014#387—611no—
1015#387C2×D6111yescharacteristic, complemented
1016#386—611no—
1017#386—611no—
1018#386—611no—
1019#386—611no—
1020#386—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#386—611no—
1040#386—611no—
1041#386C2×D6111yescharacteristic, complemented
1042#386C2×D6111yescharacteristic, complemented
1043#386C2×D6111yescharacteristic, complemented
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#385—611no—
1054#385—611no—
1055#385—611no—
1056#385—611no—
1057#385—611no—
1058#385—611no—
1059#385—611no—
1060#385—611no—
1061#385—611no—
1062#385C2×D6111yescharacteristic, complemented
1063#385C2×D6111yescharacteristic, complemented
1064#381—611no—
1065#381—611no—
1066#381—611no—
1067#381—611no—
1068#381—611no—
1069#381—611no—
1070#381—611no—
1071#381—611no—
1072#380—611no—
1073#380—611no—
1074#380—611no—
1075#380—611no—
1076#379—611no—
1077#379—611no—
1078#379—611no—
1079#379—611no—
1080C2×#95—611no—
1081C2×#95—611no—
1082C2×#95—611no—
1083C2×#95—611no—
1084C61#3498311yescharacteristic, complemented, Sylow
1085C25—611no—
1086C25—611no—
1087C25—611no—
1088C22×D4—611no—
1089C22×D4—611no—
1090C22×D4—618no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—611no—
1097C22×D4—611no—
1098C22×D4—1224no—
1099C22×D4—1224no—
1100C22×D4—1224no—
1101C22×D4—1224no—
1102C22×D4—1224no—
1103C22×D4C22×D6111yescharacteristic
1104C22×D4C22×D6111yescharacteristic
1105C22×D4C22×D6111yescharacteristic
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—611no—
1109C23×C4—611no—
1110C23×C4—611no—
1111C23×C4—611no—
1112C23×C4—611no—
1113C23×C4—611no—
1114C23×C4—611no—
1115C23×C4—611no—
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—611no—
1119C23×C4—611no—
1120C23×C4—611no—
1121C23×C4—611no—
1122C23×C4—1224no—
1123C23×C4—1224no—
1124C23×C4—2442no—
1125C23×C4—2442no—
1126C23×C4—2442no—
1127C23×C4—2442no—
1128C23×C4C22×D6111yescharacteristic
1129C23×C4C22×D6111yescharacteristic
1130C23×C4C22×D6111yescharacteristic
1131C23×C4C22×D6111yescharacteristic
1132#123—42no—
1133#123—1224no—
1134#123—1224no—
1135#123—1224no—
1136#123—1224no—
1137#123—2442no—
1138#123—2442no—
1139#123—2442no—
1140#121—24no—
1141#121—1224no—
1142#121—1224no—
1143#121—1224no—
1144#120—1224no—
1145#120—1224no—
1146#120—1224no—
1147#120—1224no—
1148C4×D4—24no—
1149C4×D4—1224no—
1150C4×D4—1224no—
1151C4×D4—1224no—
1152C4×D4—1224no—
1153C4×D4—1224no—
1154C4×D4—1224no—
1155C4×D4—1224no—
1156C2×C4⋊C4—42no—
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—611no—
1168C2×C4⋊C4—611no—
1169C2×C4⋊C4—611no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—611no—
1172C2×C4⋊C4—611no—
1173C2×C4⋊C4—1224no—
1174C2×C4⋊C4—2442no—
1175C2×C4⋊C4C22×D6111yescharacteristic
1176C2×C4⋊C4C22×D6111yescharacteristic
1177C2×C4⋊C4C22×D6111yescharacteristic
1178C2×C4⋊C4C22×D6111yescharacteristic
1179C2×C4⋊C4C22×D6111yescharacteristic
1180C2×C4⋊C4C22×D6111yescharacteristic
1181C2×C4⋊C4C22×D6111yescharacteristic
1182C2×C4⋊C4C22×D6111yescharacteristic
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—1224no—
1225C2×C22⋊C4—1224no—
1226C2×C22⋊C4—1224no—
1227C2×C22⋊C4—1224no—
1228C2×C22⋊C4—1224no—
1229C2×C22⋊C4—2442no—
1230C2×C22⋊C4—2442no—
1231C2×C22⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4C22×D6111yescharacteristic
1234C2×C22⋊C4C22×D6111yescharacteristic
1235C2×C22⋊C4C22×D6111yescharacteristic
1236C2×C22⋊C4C22×D6111yescharacteristic
1237C2×C22⋊C4C22×D6111yescharacteristic
1238C2×C22⋊C4C22×D6111yescharacteristic
1239C2×C22⋊C4C22×D6111yescharacteristic
1240C2×C22⋊C4C22×D6111yescharacteristic
1241C2×C22⋊C4C22×D6111yescharacteristic
1242C2×C42—611no—
1243C2×C42—611no—
1244C2×C42—611no—
1245C2×C42—1224no—
1246C2×C42C22×D6111yescharacteristic
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#95—611no—
1263#95—611no—
1264#95—611no—
1265#95—611no—
1266#95—611no—
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95—611no—
1271#95—611no—
1272#95—611no—
1273#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95C22×D6111yescharacteristic
1280#95C22×D6111yescharacteristic
1281#95C22×D6111yescharacteristic
1282#95C22×D6111yescharacteristic
1283#95C22×D6111yescharacteristic
1284#95C22×D6111yescharacteristic
1285#95C22×D6111yescharacteristic
1286#95C22×D6111yescharacteristic
1287C24—611no—
1288C24—611no—
1289C24—614no—
1290C24—614no—
1291C24—614no—
1292C24—611no—
1293C24—614no—
1294C24—611no—
1295C24—1222no—
1296C24—1222no—
1297C24—1222no—
1298C24—1222no—
1299C24—1222no—
1300C24—2441no—
1301C24—2441no—
1302C24—2441no—
1303C24—2441no—
1304C24—2441no—
1305C24—2441no—
1306C24—2441no—
1307C24—2441no—
1308C24—2441no—
1309C24—2441no—
1310C24—2441no—
1311C24—2441no—
1312C24C23×D6111yescharacteristic
1313C24C23×D6111yescharacteristic
1314C24C23×D6111yescharacteristic
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—614no—
1324C2×D4—614no—
1325C2×D4—614no—
1326C2×D4—1222no—
1327C2×D4—1222no—
1328C2×D4—1222no—
1329C2×D4—1222no—
1330C2×D4—1222no—
1331C2×D4—1222no—
1332C2×D4—12232no—
1333C2×D4—1222no—
1334C2×D4—1222no—
1335C2×D4—1222no—
1336C2×D4—1222no—
1337C2×D4—1222no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1222no—
1341C2×D4—1222no—
1342C2×D4—1222no—
1343C2×D4—1222no—
1344C2×D4—1222no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—2441no—
1349C2×D4—2441no—
1350C2×D4—2441no—
1351C2×D4—24416no—
1352C2×D4D4×D6114yes—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—614no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—1222no—
1379C22×C4—1222no—
1380C22×C4—1222no—
1381C22×C4—1222no—
1382C22×C4—1222no—
1383C22×C4—1222no—
1384C22×C4—1222no—
1385C22×C4—1222no—
1386C22×C4—1222no—
1387C22×C4—1222no—
1388C22×C4—1222no—
1389C22×C4—1222no—
1390C22×C4—1222no—
1391C22×C4—1222no—
1392C22×C4—1222no—
1393C22×C4—1222no—
1394C22×C4—1222no—
1395C22×C4—1222no—
1396C22×C4—1222no—
1397C22×C4—1222no—
1398C22×C4—1222no—
1399C22×C4—1222no—
1400C22×C4—1222no—
1401C22×C4—1222no—
1402C22×C4—1222no—
1403C22×C4—1222no—
1404C22×C4—1222no—
1405C22×C4—2441no—
1406C22×C4—2441no—
1407C22×C4—2441no—
1408C22×C4—2441no—
1409C22×C4—2441no—
1410C22×C4—2441no—
1411C22×C4—2441no—
1412C22×C4—2441no—
1413C22×C4—2441no—
1414C22×C4—2441no—
1415C22×C4—2441no—
1416C22×C4—2441no—
1417C22×C4—2441no—
1418C22×C4—2441no—
1419C22×C4—24416no—
1420C22×C4—24416no—
1421C22×C4—2441no—
1422C22×C4—2441no—
1423C22×C4—2441no—
1424C22×C4—2441no—
1425C22×C4—2441no—
1426C22×C4—2441no—
1427C22×C4C23×D6111yescharacteristic
1428C22×C4C23×D6111yescharacteristic
1429C22×C4C23×D6111yescharacteristic
1430C22×C4C23×D6111yescharacteristic
1431C22×C4C23×D6111yescharacteristic
1432C22×C4C23×D6111yescharacteristic
1433C22×C4C23×D6111yescharacteristic
1434C22×C4C23×D6111yescharacteristic
1435C22×C4C23×D6111yescharacteristic
1436C22×C4C23×D6111yescharacteristic
1437C22×C4C23×D6111yescharacteristic
1438C22×C4C23×D6111yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—41no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—1222no—
1448C4⋊C4—1222no—
1449C4⋊C4—1222no—
1450C4⋊C4—1222no—
1451C4⋊C4—1222no—
1452C4⋊C4—1222no—
1453C4⋊C4—1222no—
1454C4⋊C4—1222no—
1455C4⋊C4—2441no—
1456C4⋊C4—2441no—
1457C4⋊C4—2441no—
1458C4⋊C4—2441no—
1459C4⋊C4—2441no—
1460C4⋊C4—2441no—
1461C4⋊C4—2441no—
1462C4⋊C4—2441no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—1222no—
1475C22⋊C4—1222no—
1476C22⋊C4—1222no—
1477C22⋊C4—1222no—
1478C22⋊C4—1222no—
1479C22⋊C4—1222no—
1480C22⋊C4—1222no—
1481C22⋊C4—1222no—
1482C22⋊C4—1222no—
1483C22⋊C4—1222no—
1484C22⋊C4—1222no—
1485C22⋊C4—1222no—
1486C22⋊C4—1222no—
1487C22⋊C4—1222no—
1488C22⋊C4—1222no—
1489C22⋊C4—1222no—
1490C22⋊C4—1222no—
1491C22⋊C4—1222no—
1492C22⋊C4—1222no—
1493C22⋊C4—1222no—
1494C22⋊C4—1222no—
1495C22⋊C4—1222no—
1496C22⋊C4—1222no—
1497C22⋊C4—1222no—
1498C22⋊C4—1222no—
1499C22⋊C4—1222no—
1500C22⋊C4—2441no—
1501C22⋊C4—2441no—
1502C22⋊C4—2441no—
1503C22⋊C4—2441no—
1504C22⋊C4—2441no—
1505C22⋊C4—2441no—
1506C22⋊C4—2441no—
1507C22⋊C4—2441no—
1508C22⋊C4—2441no—
1509C22⋊C4—2441no—
1510C22⋊C4—2441no—
1511C22⋊C4—2441no—
1512C22⋊C4—2441no—
1513C22⋊C4—2441no—
1514C22⋊C4—2441no—
1515C42—22no—
1516C42—1222no—
1517C42—1222no—
1518C42—1222no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—612no—
1537C23—612no—
1538C23—612no—
1539C23—612no—
1540C23—612no—
1541C23—612no—
1542C23—6116no—
1543C23—612no—
1544C23—1228no—
1545C23—1221no—
1546C23—1221no—
1547C23—1221no—
1548C23—1221no—
1549C23—1221no—
1550C23—1221no—
1551C23—1221no—
1552C23—1221no—
1553C23—1221no—
1554C23—1221no—
1555C23—1221no—
1556C23—1221no—
1557C23—1221no—
1558C23—1221no—
1559C23—1221no—
1560C23—1221no—
1561C23—1221no—
1562C23—1221no—
1563C23—1221no—
1564C23—1221no—
1565C23—1221no—
1566C23—4882no—
1567C23—4882no—
1568C23—4882no—
1569C23—4882no—
1570C23—2444no—
1571C23—2444no—
1572C23—2444no—
1573C23—2444no—
1574C23—2444no—
1575C23—2444no—
1576C23—2444no—
1577C23—2444no—
1578C23—2444no—
1579C23—2444no—
1580C23—2444no—
1581C23—2444no—
1582C23—2444no—
1583C23—2444no—
1584C23—2444no—
1585C23C2×D4×D6112yes—
1586C23C2×D4×D6112yes—
1587C23#41×D6112yes—
1588C23#41×D6112yes—
1589C23C24×D6111yescharacteristic
1590D4—28no—
1591D4—44no—
1592D4—82no—
1593D4—1228no—
1594D4—1228no—
1595D4—1228no—
1596D4—4882no—
1597D4—4882no—
1598D4—4882no—
1599D4—2444no—
1600D4—2444no—
1601D4—2444no—
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—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—82no—
1640C2×C4—612no—
1641C2×C4—612no—
1642C2×C4—1228no—
1643C2×C4—1228no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—1221no—
1671C2×C4—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—4882no—
1679C2×C4—4882no—
1680C2×C4—4882no—
1681C2×C4—2444no—
1682C2×C4—2444no—
1683C2×C4—2444no—
1684C2×C4—2444no—
1685C2×C4—2444no—
1686C2×C4—2444no—
1687C2×C4—2444no—
1688C2×C4—2444no—
1689C2×C4—2444no—
1690C2×C4—2444no—
1691C2×C4—2444no—
1692C2×C4C2×D4×D6112yes—
1693C2×C4#1451982212yes—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—614no—
1715C22—614no—
1716C22—1222no—
1717C22—1222no—
1718C22—1222no—
1719C22—1222no—
1720C22—1222no—
1721C22—1222no—
1722C22—1222no—
1723C22—1222no—
1724C22—1222no—
1725C22—1222no—
1726C22—1222no—
1727C22—1222no—
1728C22—1222no—
1729C22—1222no—
1730C22—1222no—
1731C22—4888no—
1732C22—24416no—
1733C22—24416no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22#123×D6114yes—
1746C22C22×D4×D6111yescharacteristic
1747C22C2×#41×D6111yescharacteristic
1748C22C2×#41×D6111yescharacteristic
1749C22H(5,𝔽2)×D6111yescharacteristic
1750C22C2×#1451982211yescharacteristic
1751C22#1684059811yescharacteristic
1752C22#1684059911yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—1222no—
1766C4—1222no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4—2441no—
1774C4—2441no—
1775C4—2441no—
1776C4—2441no—
1777C2—24no—
1778C2—42no—
1779C2—81no—
1780C2—1224no—
1781C2—1224no—
1782C2—4881no—
1783C2—2442no—
1784C2C2×#123×D6111yescharacteristic
1785C2#2145922611yescharacteristic
1786C2#2145922711yescharacteristic
1787C2#2145944711yescharacteristic
1788C2#2145945811yescharacteristic
1789C2#2145965211yescharacteristic
1790C2#2145965511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2443C2
prime radicalC2×#16840320C2
hypercenter#2443D61
hypocenterC61#34983
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D61C2semidirect
3. #21454143C2semidirect
4. #21454139C2semidirect
5. #21454114C2semidirect
6. #21454108C2semidirect
7. #21451604C2semidirect
8. #21451600C2semidirect
9. #21451593C2semidirect
10. #21451591C2semidirect
11. #21449575C2semidirect
12. #21449571C2semidirect
13. #21449567C2semidirect
14. #21449563C2semidirect
15. #21449558C2semidirect
16. #21449554C2semidirect
17. #21449550C2semidirect
18. #21449301C2semidirect
19. #21449297C2semidirect
20. #21449295C2semidirect
21. #21449291C2semidirect
22. #21449288C2semidirect
23. #21449284C2semidirect
24. #21449278C2semidirect
25. #21449274C2semidirect
26. #21448430C2semidirect
27. #21448393C2semidirect
28. #21448393C2semidirect
29. #386×D61C2semidirect
30. C2×#16839633C2semidirect
31. C61×#2443C2semidirect
35. C23×C4×D61C22semidirect
39. C2×#14519762C22semidirect
40. C2×#14519762C22semidirect
43. C2×#14519758C22semidirect
52. C2×D4×Dic61C22semidirect
55. C2×C4×C22⋊D61C22semidirect
57. C2×#14519737C22semidirect
59. C22×#11758196C22semidirect
60. C2×C4⋊C4×D61C22semidirect
65. C2×C22⋊C4×D61C22semidirect
66. C2×C22⋊C4×D61C22semidirect
67. C2×C22⋊C4×D61C22semidirect
68. C2×C42×D61C22semidirect
69. #16839703C22semidirect
70. #16839703C22semidirect
71. #16839702C22semidirect
72. #16839700C22semidirect
73. #16839698C22semidirect
74. #16839697C22semidirect
75. #16839697C22semidirect
76. #16839695C22semidirect
77. #16839695C22semidirect
78. #16839692C22semidirect
79. #16839691C22semidirect
80. #16839691C22semidirect
81. #16839690C22semidirect
82. #16839690C22semidirect
83. #16839690C22semidirect
84. #16839690C22semidirect
85. #16839689C22semidirect
86. #16839689C22semidirect
87. #16839688C22semidirect
88. #16839688C22semidirect
89. #16839687C22semidirect
90. #16839680C22semidirect
91. #16839679C22semidirect
92. #16839678C22semidirect
93. #16839678C22semidirect
94. #16839677C22semidirect
95. #16839677C22semidirect
96. #16839676C22semidirect
97. #16839656C22semidirect
98. #16839655C22semidirect
99. #16839654C22semidirect
100. #16839653C22semidirect
101. #16839652C22semidirect
102. #16839651C22semidirect
103. #16839650C22semidirect
104. #16839649C22semidirect
105. #16839648C22semidirect
106. #16839647C22semidirect
107. #16839646C22semidirect
108. #16839645C22semidirect
109. #16839644C22semidirect
110. #16839643C22semidirect
111. #16839642C22semidirect
112. #16839642C22semidirect
113. #16839642C22semidirect
114. #16839641C22semidirect
115. #16839641C22semidirect
116. #16839641C22semidirect
117. #16839641C22semidirect
124. #16839639C22semidirect
125. #16839639C22semidirect
126. #16839639C22semidirect
127. #16839639C22semidirect
134. #16839638C22semidirect
135. #16839638C22semidirect
136. #16839637C22semidirect
137. #16839636C22semidirect
138. #16839636C22semidirect
139. #16839635C22semidirect
140. #16839634C22semidirect
141. #16839634C22semidirect
142. #16839633C22semidirect
143. #16839633C22semidirect
144. #16839633C22semidirect
145. #16839633C22semidirect
146. #16839633C22semidirect
147. #16839633C22semidirect
148. #16839633C22semidirect
149. #16839633C22semidirect
150. #16839633C22semidirect
151. #16839633C22semidirect
152. #16839633C22semidirect
153. #16839633C22semidirect
154. #16839625C22semidirect
155. #16839624C22semidirect
156. #16839624C22semidirect
157. #16839624C22semidirect
158. #16839624C22semidirect
159. #16839624C22semidirect
160. #16839624C22semidirect
161. #16839623C22semidirect
162. #16839621C22semidirect
163. #16839621C22semidirect
164. #16839619C22semidirect
165. #16839619C22semidirect
166. #16839617C22semidirect
167. #16839617C22semidirect
168. #16839617C22semidirect
169. #16839617C22semidirect
170. C2×#14519684C22semidirect
171. C2×#14519684C22semidirect
172. #95×D61C22semidirect
173. #95×D61C22semidirect
174. C2×#123×C61C22semidirect
176. C2×C4×D4×C61C22semidirect
177. C22×C4⋊C4×C61C22semidirect
178. C61×#399C22semidirect
179. C61×#398C22semidirect
180. C61×#397C22semidirect
181. C61×#394C22semidirect
182. C61×#388C22semidirect
183. C61×#387C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
186. C61×#386C22semidirect
187. C61×#385C22semidirect
188. C61×#385C22semidirect
686. C22×D61#123semidirect
899. #2443D61semidirect
939. C2×#123C2×D61semidirect
956. C2×C4×D4C2×D61semidirect
959. C22×C4⋊C4C2×D61semidirect
975. #399C2×D61semidirect
979. #398C2×D61semidirect
991. #397C2×D61semidirect
999. #394C2×D61semidirect
1007. #388C2×D61semidirect
1015. #387C2×D61semidirect
1041. #386C2×D61semidirect
1042. #386C2×D61semidirect
1043. #386C2×D61semidirect
1062. #385C2×D61semidirect
1063. #385C2×D61semidirect
1084. C61#34983semidirect

Maximal subgroups

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

subgroupindex
C2×#168403202
C2×C4×D4×D612
#214541432
#214541392
#214541142
#214541082
#214516042
#214516002
#214515932
#214515912
#214495752
#214495712
#214495672
#214495632
#214495582
#214495542
#214495502
#214493012
#214492972
#214492952
#214492912
#214492882
#214492842
#214492782
#214492742
#214484302
#214483932
#386×D612
C2×#168396332
C61×#24432
#3498361