Finite Group Databasebeta

← #29853464

Subgroups — #29853464

Order 15616.

2778 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840271C211yesmaximal, characteristic, complemented
2C2×#16840270C211yesmaximal, characteristic, complemented
3#21454170C211yesmaximal, characteristic, complemented
4#21454163C211yesmaximal, characteristic, complemented
5#21454117C211yesmaximal, characteristic, complemented
6#21454117C211yesmaximal, characteristic, complemented
7#21451558C211yesmaximal, characteristic, complemented
8#21451558C211yesmaximal, characteristic, complemented
9#21451554C211yesmaximal, characteristic, complemented
10#21451552C211yesmaximal, characteristic, complemented
11#21451438C211yesmaximal, characteristic, complemented
12#21451436C211yesmaximal, characteristic, complemented
13#21451433C211yesmaximal, characteristic, complemented
14#21451431C211yesmaximal, characteristic, complemented
15#21451430C211yesmaximal, characteristic, complemented
16#21451428C211yesmaximal, characteristic, complemented
17#21451425C211yesmaximal, characteristic, complemented
18#21450279C211yesmaximal, characteristic, complemented
19#21450276C211yesmaximal, characteristic, complemented
20#21450270C211yesmaximal, characteristic, complemented
21#21450267C211yesmaximal, characteristic, complemented
22#21449445C211yesmaximal, characteristic, complemented
23#21449442C211yesmaximal, characteristic, complemented
24#21449436C211yesmaximal, characteristic, complemented
25#21449433C211yesmaximal, characteristic, complemented
26#21448523C211yesmaximal, characteristic, complemented
27#21448521C211yesmaximal, characteristic, complemented
28#21448518C211yesmaximal, characteristic, complemented
29#21448516C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
31C61×#2602C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C22×#11758224C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35C2×#14519776C2211yescharacteristic, complemented
36C2×#14519773C2211yescharacteristic, complemented
37C2×#14519763C2211yescharacteristic, complemented
38C2×#14519763C2211yescharacteristic, complemented
39#16840271—28no—
40#16840270—28no—
41C2×#14519762C2211yescharacteristic
42C2×#14519760C2211yescharacteristic
43C2×#14519759C2211yescharacteristic
44C2×#14519755C2211yescharacteristic
45C2×#14519755C2211yescharacteristic
46C2×#14519755C2211yescharacteristic
47C2×#14519754C2211yescharacteristic
48C2×#14519752C2211yescharacteristic
49C2×#14519750C2211yescharacteristic
50C2×#14519750C2211yescharacteristic
51C2×#14519750C2211yescharacteristic
52C2×#14519750C2211yescharacteristic
53C2×#14519750C2211yescharacteristic
54C2×#14519749C2211yescharacteristic
55C2×#14519748C2211yescharacteristic
56C2×#14519747C2211yescharacteristic
57C2×#14519747C2211yescharacteristic
58C2×#14519745C2211yescharacteristic
59C2×#14519745C2211yescharacteristic
60C2×C4×D244C2211yescharacteristic
61C2×#14519739C2211yescharacteristic
62C2×#14519739C2211yescharacteristic
63C2×C4×C22⋊D61C2211yescharacteristic
64C2×C4×C22⋊D61C2211yescharacteristic
65C2×#14519737C2211yescharacteristic
66C2×#14519737C2211yescharacteristic
67C2×#14519734C2211yescharacteristic
68C2×#14519733C2211yescharacteristic
69C2×C22⋊C4×D61C2211yescharacteristic
70C2×C22⋊C4×D61C2211yescharacteristic
71C2×C42×D61C2211yescharacteristic
72C2×C42×D61C2211yescharacteristic
73#16839691C2211yescharacteristic
74#16839691C2211yescharacteristic
75#16839690C2211yescharacteristic
76#16839690C2211yescharacteristic
77#16839689C2211yescharacteristic
78#16839688C2211yescharacteristic
79#16839687C2211yescharacteristic
80#16839680C2211yescharacteristic
81#16839680C2211yescharacteristic
82#16839679C2211yescharacteristic
83#16839679C2211yescharacteristic
84#16839678C2211yescharacteristic
85#16839678C2211yescharacteristic
86#16839678C2211yescharacteristic
87#16839678C2211yescharacteristic
88#16839677C2211yescharacteristic
89#16839677C2211yescharacteristic
90#16839677C2211yescharacteristic
91#16839677C2211yescharacteristic
92#16839676C2211yescharacteristic
93#16839676C2211yescharacteristic
94#16839672C2211yescharacteristic
95#16839671C2211yescharacteristic
96#16839671C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839670C2211yescharacteristic
99#16839670C2211yescharacteristic
100#16839670C2211yescharacteristic
101#16839666C2211yescharacteristic, complemented
102#16839666C2211yescharacteristic, complemented
103#16839666C2211yescharacteristic, complemented
104#16839666C2211yescharacteristic, complemented
105#16839664C2211yescharacteristic, complemented
106#16839662C2211yescharacteristic, complemented
107#16839662C2211yescharacteristic, complemented
108#16839662C2211yescharacteristic, complemented
109#16839662C2211yescharacteristic, complemented
110#16839662C2211yescharacteristic, complemented
111#16839662C2211yescharacteristic, complemented
112#16839660C2211yescharacteristic, complemented
113#16839657C2211yescharacteristic, complemented
114#16839657C2211yescharacteristic, complemented
115#16839656C2211yescharacteristic, complemented
116#16839656C2211yescharacteristic, complemented
117#16839656C2211yescharacteristic, complemented
118#16839655C2211yescharacteristic, complemented
119#16839654C2211yescharacteristic, complemented
120#16839653C2211yescharacteristic, complemented
121#16839653C2211yescharacteristic, complemented
122#16839653C2211yescharacteristic, complemented
123#16839652C2211yescharacteristic, complemented
124#16839652C2211yescharacteristic, complemented
125#16839652C2211yescharacteristic, complemented
126#16839651C2211yescharacteristic, complemented
127#16839650C2211yescharacteristic, complemented
128#16839649C2211yescharacteristic, complemented
129#16839648C2211yescharacteristic, complemented
130#16839647C2211yescharacteristic, complemented
131#16839646C2211yescharacteristic, complemented
132#16839645C2211yescharacteristic, complemented
133#16839644C2211yescharacteristic, complemented
134#16839643C2211yescharacteristic, complemented
135#16839642C2211yescharacteristic, complemented
136#16839641C2211yescharacteristic, complemented
137#16839640C2211yescharacteristic
138#16839640C2211yescharacteristic
139#16839640C2211yescharacteristic
140#16839640C2211yescharacteristic
141#16839640C2211yescharacteristic, complemented
142#16839640C2211yescharacteristic, complemented
143#16839639C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic
145#16839638C2211yescharacteristic
146#16839638C2211yescharacteristic
147#16839638C2211yescharacteristic
148#16839638C2211yescharacteristic, complemented
149#16839638C2211yescharacteristic, complemented
150#16839637C2211yescharacteristic, complemented
151#16839636C2211yescharacteristic, complemented
152#16839636C2211yescharacteristic, complemented
153#16839635C2211yescharacteristic, complemented
154#16839634C2211yescharacteristic, complemented
155#16839633C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic, complemented
157#16839631C2211yescharacteristic, complemented
158#16839631C2211yescharacteristic, complemented
159#16839626C2211yescharacteristic, complemented
160#16839626C2211yescharacteristic, complemented
161#16839621C2211yescharacteristic
162#16839621C2211yescharacteristic
163#16839619C2211yescharacteristic
164#16839619C2211yescharacteristic
165C22⋊C4×Dic61C2211yescharacteristic
166C22⋊C4×Dic61C2211yescharacteristic
167C4×#11758198C2211yescharacteristic
168C4×#11758198C2211yescharacteristic
169C4×C22⋊Dic61C2211yescharacteristic
170#16839609C2211yescharacteristic
171#16839609C2211yescharacteristic
172#95×D61C2211yescharacteristic
173#95×D61C2211yescharacteristic
174C2×#123×C61C2211yescharacteristic
175C2×C4×D4×C61C2211yescharacteristic
176C61×#397C2211yescharacteristic
177C61×#394C2211yescharacteristic
178C61×#394C2211yescharacteristic
179C61×#392C2211yescharacteristic
180C61×#390C2211yescharacteristic, complemented
181C61×#389C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#388C2211yescharacteristic, complemented
184C61×#388C2211yescharacteristic, complemented
185C61×#387C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic, complemented
188C4×C22⋊C4×C61C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758222—24no—
191C2×#11758222—42no—
192C2×#11758222—42no—
193C2×#11758224—24no—
194C2×#11758224—42no—
195C2×#11758224—42no—
196C22×Dic122C2311yescharacteristic
197C22×Dic122C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C22×C4×D61—42no—
216C22×C4×D61—42no—
217C22×C4×D61D418yescomplemented
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
228#14519776—42no—
229#14519773—42no—
230#14519763—42no—
231#14519763—42no—
232#14519762—24no—
233#14519760—24no—
234#14519759—24no—
235#14519755—24no—
236#14519755—24no—
237#14519755—24no—
238#14519754—24no—
239#14519752—24no—
240#14519750—24no—
241#14519750—24no—
242#14519750—24no—
243#14519750—24no—
244#14519750—24no—
245#14519749—24no—
246#14519748—24no—
247#14519747—24no—
248#14519747—24no—
249#14519745—24no—
250#14519745—24no—
251C4×D244—24no—
252#14519739—24no—
253#14519739—24no—
254C4×C22⋊D61—24no—
255C4×C22⋊D61—24no—
256#14519737—24no—
257#14519737—24no—
258#14519734—24no—
259#14519733—24no—
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×C4⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
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
317C22⋊C4×D61—24no—
318C22⋊C4×D61—24no—
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326C2×C4×Dic61C2311yescharacteristic
327C2×C4×Dic61C2311yescharacteristic
328C42×D61—42no—
329C42×D61—42no—
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic
359#123×C61—24no—
360C4×D4×C61—24no—
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C42×C61C2311yescharacteristic
381C2×C42×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—41no—
397C23×D61—41no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61C2×D414yes—
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C2×D4×C61—22no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—41no—
409C2×D4×C61—41no—
410C2×D4×C61—41no—
411C2×D4×C61—41no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C22×C4×C61—22no—
415C22×C4×C61—41no—
416C22×C4×C61—41no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61C2×D414yes—
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
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
432C2×C22⋊D61—22no—
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—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—22no—
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—
460C2×C22⋊D61—41no—
461C2×C22⋊D61—41no—
462C22×Dic61—22no—
463C22×Dic61—22no—
464C22×Dic61—22no—
465C22×Dic61—41no—
466C22×Dic61—41no—
467C22×Dic61C2×D414yes—
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480#11758224—416no—
481#11758222—416no—
482C2×D244—22no—
483C2×D244—22no—
484C2×D244—22no—
485C2×D244—22no—
486C2×D244—22no—
487C2×D244—22no—
488C2×D244—22no—
489C2×D244—22no—
490C2×D244—22no—
491C2×D244—41no—
492C2×D244—41no—
493C2×D244—41no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×C4×D61—22no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
500C2×C4×D61—22no—
501C2×C4×D61—22no—
502C2×C4×D61—22no—
503C2×C4×D61—22no—
504C2×C4×D61—22no—
505C2×C4×D61—416no—
506C2×C4×D61—41no—
507C2×C4×D61—41no—
508C2×C4×D61—41no—
509C2×C4×D61—41no—
510C2×C4×D61—41no—
511C2×C4×D61—41no—
512C2×C4×D61—41no—
513C2×C4×D61—41no—
514C2×C4×D61—41no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61C2×D414yes—
523C2×C4×D61C2×D414yes—
524C2×C4×D61C2×D414yes—
525C2×C4×D61C2×D414yes—
526C2×C4×D61#4114yescomplemented
527C2×C4×D61#4114yescomplemented
528C2×Dic122—22no—
529C2×Dic122—22no—
530C2×Dic122—22no—
531C2×Dic122—22no—
532C2×Dic122—22no—
533C2×Dic122—22no—
534C4⋊C4×C61—22no—
535C4⋊C4×C61—22no—
536C4⋊C4×C61—22no—
537C4⋊C4×C61—22no—
538C4⋊C4×C61—41no—
539C4⋊C4×C61—41no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
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—
552C22⋊C4×C61—41no—
553C42×C61—22no—
554C42×C61—41no—
555C42×C61—41no—
556C22⋊Dic61—22no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—22no—
563C22⋊Dic61—41no—
564C22⋊Dic61—41no—
565C22⋊Dic61—41no—
566C22⋊Dic61—41no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—22no—
572#11758198—22no—
573#11758198—22no—
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—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594#11758198—41no—
595C4⋊Dic61—22no—
596C4⋊Dic61—22no—
597C4⋊Dic61—41no—
598C4⋊Dic61—41no—
599#11758196—22no—
600#11758196—22no—
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—41no—
610#11758196—41no—
611#11758196—41no—
612#11758196—41no—
613C4×Dic61—22no—
614C4×Dic61—22no—
615C4×Dic61—22no—
616C4×Dic61—22no—
617C4×Dic61—22no—
618C4×Dic61—22no—
619C4×Dic61—22no—
620C4×Dic61—41no—
621C4×Dic61—41no—
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×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×C61—21no—
641C23×C61—21no—
642C23×C61C22×D412yes—
643C23×C61C2511yescharacteristic
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—28no—
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—
677C22×D61C2×#4112yes—
678C22×D61C2×#4112yes—
679D4×C61—44no—
680D4×C61—44no—
681D4×C61—82no—
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—44no—
715C2×C4×C61—44no—
716C2×C4×C61C22×D412yes—
717C2×C4×C61C22×D412yes—
718C2×C4×C61C2×#4112yes—
719C2×C4×C61C2×#4112yes—
720C22⋊D61—44no—
721C22⋊D61—44no—
722C22⋊D61—44no—
723C22⋊D61—44no—
724C22⋊D61—44no—
725C22⋊D61—44no—
726C22⋊D61—44no—
727C22⋊D61—44no—
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—28no—
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—21no—
761C2×Dic61—44no—
762C2×Dic61C22×D412yes—
763C2×Dic61C22×D412yes—
764C2×Dic61C2×#4112yes—
765C2×Dic61C2×#4112yes—
766C2×Dic61H(5,𝔽2)12yes—
767C2×Dic61H(5,𝔽2)12yes—
768D244—44no—
769D244—44no—
770D244—44no—
771D244—44no—
772D244—82no—
773C4×D61—28no—
774C4×D61—28no—
775C4×D61—44no—
776C4×D61—44no—
777C4×D61—44no—
778C4×D61—44no—
779C4×D61—44no—
780C4×D61—44no—
781C4×D61—44no—
782C4×D61—44no—
783Dic122—44no—
784Dic122—44no—
785#35032—611nomaximal, Sylow
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—22no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61C23×D411yescharacteristic
808C22×C61C22×#4111yescharacteristic
809C22×C61C22×#4111yescharacteristic
810C22×C61C2×H(5,𝔽2)11yescharacteristic
811C22×C61C2×H(5,𝔽2)11yescharacteristic
812C22×C61#58511yescharacteristic
813C22×C61#58511yescharacteristic
814C2×D61—22no—
815C2×D61—22no—
816C2×D61—22no—
817C2×D61—22no—
818C2×D61—22no—
819C2×D61—22no—
820C2×D61—22no—
821C2×D61—22no—
822C2×D61—22no—
823C2×D61—416no—
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—
841C2×D61—41no—
842C2×D61#53214yes—
843C4×C61—22no—
844C4×C61—22no—
845C4×C61—22no—
846C4×C61—22no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855Dic61—22no—
856Dic61—22no—
857Dic61—22no—
858Dic61—41no—
859Dic61—41no—
860Dic61—41no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61#53414yes—
867C2×#525—611no—
868C2×#525—611no—
869#2857—611no—
870#2856—611no—
871#2850—611no—
872#2850—611no—
873#2617—611no—
874#2617—611no—
875#2617—611no—
876#2617—611no—
877#2602—611no—
878#2602—611no—
879#2602—611no—
880#2602—611no—
881#2602—611no—
882#2602—611no—
883#2602—611no—
884#2602D6111yescharacteristic, complemented
885#2500—611no—
886#2500—611no—
887#2499—611no—
888#2499—611no—
889#2432—611no—
890#2432—611no—
891#2431—611no—
892#2431—611no—
893#2325—611no—
894#2325—611no—
895#2325—611no—
896#2325—611no—
897C2×C4×C22⋊C4—611no—
898C2×C61—42no—
899C2×C61—81no—
900C2×C61—81no—
901C2×C61C2×#53211yescharacteristic
902C2×C61C2×#53411yescharacteristic
903C2×C61#344911yescharacteristic
904C2×C61#350511yescharacteristic
905C2×C61#350511yescharacteristic
906C2×C61#350611yescharacteristic
907C2×C61#350611yescharacteristic
908D61—24no—
909D61—42no—
910D61—81no—
911D61—81no—
912C22×#41—611no—
913C22×#41—611no—
914C24×C4—611no—
915C2×C4⋊Q8—611no—
916C2×#127—611no—
917C2×#124—611no—
918C2×#124—611no—
919#525—1228no—
920#525—1228no—
921C2×#123—611no—
922C2×#123—611no—
923C2×#123—611no—
924C2×#123C2×D6111yescharacteristic
925C2×C22⋊Q8—611no—
926C2×C22⋊Q8—611no—
927C2×C22⋊Q8—611no—
928C2×C22⋊Q8—611no—
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×#120—611no—
938C2×#120—611no—
939C2×#120—611no—
940C2×#120—611no—
941C2×C4×D4—611no—
942C2×C4×D4—611no—
943C2×C4×D4—611no—
944C2×C4×D4—611no—
945C2×C4×D4—611no—
946C2×C4×D4—611no—
947C2×C4×D4—611no—
948C2×C4×D4C2×D6111yescharacteristic
949C2×#117—611no—
950C2×#117—611no—
951C22×C22⋊C4—611no—
952C22×C22⋊C4—611no—
953C22×C42—611no—
954C22×C42—611no—
955#397—611no—
956#397—611no—
957#397—611no—
958#397—611no—
959#397—611no—
960#397—611no—
961#397—611no—
962#397C2×D6111yescharacteristic
963#394—611no—
964#394—611no—
965#394—611no—
966#394—611no—
967#394—611no—
968#394—611no—
969#394—611no—
970#394—611no—
971#394—611no—
972#394—611no—
973#394—611no—
974#394—611no—
975#394—611no—
976#394—611no—
977#394C2×D6111yescharacteristic
978#394C2×D6111yescharacteristic
979#392—611no—
980#392—611no—
981#392—611no—
982#392—611no—
983#392—611no—
984#392—611no—
985#392—611no—
986#392C2×D6111yescharacteristic
987#391—611no—
988#391—611no—
989#391—611no—
990#391—611no—
991#390—611no—
992#390—611no—
993#390—611no—
994#390—611no—
995#390—611no—
996#390—611no—
997#390—611no—
998#390C2×D6111yescharacteristic, complemented
999#389—611no—
1000#389—611no—
1001#389—611no—
1002#389C2×D6111yescharacteristic, complemented
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388—611no—
1008#388—611no—
1009#388—611no—
1010#388—611no—
1011#388—611no—
1012#388—611no—
1013#388—611no—
1014#388—611no—
1015#388—611no—
1016#388C2×D6111yescharacteristic, complemented
1017#388C2×D6111yescharacteristic, complemented
1018#388C2×D6111yescharacteristic, complemented
1019#387—611no—
1020#387—611no—
1021#387—611no—
1022#387—611no—
1023#387—611no—
1024#387—611no—
1025#387—611no—
1026#387C2×D6111yescharacteristic, complemented
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#386—611no—
1042#386C2×D6111yescharacteristic, complemented
1043#385—611no—
1044#385—611no—
1045#385—611no—
1046#385—611no—
1047#385—611no—
1048#385—611no—
1049#385—611no—
1050#385C2×D6111yescharacteristic, complemented
1051#384—611no—
1052#384—611no—
1053#382—611no—
1054#382—611no—
1055#380—611no—
1056#380—611no—
1057#380—611no—
1058#380—611no—
1059C4×C22⋊C4—611no—
1060C4×C22⋊C4—611no—
1061C4×C22⋊C4—611no—
1062C4×C22⋊C4—611no—
1063C4×C22⋊C4—611no—
1064C4×C22⋊C4—611no—
1065C4×C22⋊C4—611no—
1066C4×C22⋊C4C2×D6111yescharacteristic
1067C2×#95—611no—
1068C2×#95—611no—
1069C61#3503211yescharacteristic, complemented, Sylow
1070C25—611no—
1071C2×#41—1224no—
1072C2×#41—1224no—
1073C2×#41—2442no—
1074C2×#41—2442no—
1075C2×#41—2442no—
1076C2×#41—2442no—
1077C22×Q8—611no—
1078C22×Q8—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×D4—611no—
1089C22×D4—611no—
1090C22×D4—611no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4C22×D6111yescharacteristic
1095C22×D4C22×D6111yescharacteristic
1096C22×D4C22×D6111yescharacteristic
1097C23×C4—611no—
1098C23×C4—611no—
1099C23×C4—611no—
1100C23×C4—618no—
1101C23×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—611no—
1105C23×C4—611no—
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—611no—
1109C23×C4—611no—
1110C23×C4—2442no—
1111C23×C4—2442no—
1112C23×C4C22×D6111yescharacteristic
1113C23×C4C22×D6111yescharacteristic
1114C4⋊Q8—2442no—
1115#127—2442no—
1116#124—2442no—
1117#124—2442no—
1118#123—24no—
1119#123—1224no—
1120#123—1224no—
1121#123—1224no—
1122C22⋊Q8—1224no—
1123C22⋊Q8—1224no—
1124C22⋊Q8—1224no—
1125C22⋊Q8—1224no—
1126#121—1224no—
1127#121—1224no—
1128#121—1224no—
1129#121—1224no—
1130#121—1224no—
1131#121—1224no—
1132#121—1224no—
1133#121—1224no—
1134#120—1224no—
1135#120—1224no—
1136#120—1224no—
1137#120—1224no—
1138C4×D4—24no—
1139C4×D4—1224no—
1140C4×D4—1224no—
1141C4×D4—1224no—
1142C4×D4—1224no—
1143C4×D4—1224no—
1144C4×D4—1224no—
1145C4×D4—1224no—
1146#117—1224no—
1147#117—1224no—
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⋊C4C22×D6111yescharacteristic
1167C2×C4⋊C4C22×D6111yescharacteristic
1168C2×C4⋊C4C22×D6111yescharacteristic
1169C2×C4⋊C4C22×D6111yescharacteristic
1170C2×C4⋊C4C22×D6111yescharacteristic
1171C2×C4⋊C4C22×D6111yescharacteristic
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—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—1224no—
1212C2×C22⋊C4—1224no—
1213C2×C22⋊C4C22×D6111yescharacteristic
1214C2×C22⋊C4C22×D6111yescharacteristic
1215C2×C22⋊C4C22×D6111yescharacteristic
1216C2×C22⋊C4C22×D6111yescharacteristic
1217C2×C22⋊C4C22×D6111yescharacteristic
1218C2×C22⋊C4C22×D6111yescharacteristic
1219C2×C22⋊C4C22×D6111yescharacteristic
1220C2×C22⋊C4C22×D6111yescharacteristic
1221C2×C22⋊C4C22×D6111yescharacteristic
1222C2×C22⋊C4C22×D6111yescharacteristic
1223C2×C22⋊C4C22×D6111yescharacteristic
1224C2×C22⋊C4C22×D6111yescharacteristic
1225C2×C22⋊C4C22×D6111yescharacteristic
1226C2×C42—611no—
1227C2×C42—611no—
1228C2×C42—611no—
1229C2×C42—611no—
1230C2×C42—611no—
1231C2×C42—611no—
1232C2×C42—611no—
1233C2×C42—611no—
1234C2×C42—611no—
1235C2×C42—2442no—
1236C2×C42—2442no—
1237C2×C42C22×D6111yescharacteristic
1238C2×C42C22×D6111yescharacteristic
1239C2×C42C22×D6111yescharacteristic
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#95—611no—
1263#95—611no—
1264#95C22×D6111yescharacteristic
1265#95C22×D6111yescharacteristic
1266#95C22×D6111yescharacteristic
1267#95C22×D6111yescharacteristic
1268#95C22×D6111yescharacteristic
1269#95C22×D6111yescharacteristic
1270#95C22×D6111yescharacteristic
1271#95C22×D6111yescharacteristic
1272C24—611no—
1273C24—611no—
1274C24—614no—
1275C24—611no—
1276C24—611no—
1277C24—1222no—
1278C24—1222no—
1279C24—2441no—
1280C24—2441no—
1281C24—2441no—
1282C24—2441no—
1283C24C23×D6111yescharacteristic
1284C24C23×D6111yescharacteristic
1285C24C23×D6111yescharacteristic
1286#41—24416no—
1287#41—24416no—
1288C2×Q8—1222no—
1289C2×Q8—1222no—
1290C2×Q8—1222no—
1291C2×Q8—1222no—
1292C2×Q8—1222no—
1293C2×Q8—1222no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
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—1222no—
1315C2×D4—1222no—
1316C2×D4—1222no—
1317C2×D4—1222no—
1318C2×D4—1222no—
1319C2×D4—1222no—
1320C2×D4—1222no—
1321C2×D4—1222no—
1322C2×D4—1222no—
1323C2×D4—1222no—
1324C2×D4—1222no—
1325C2×D4—1222no—
1326C2×D4—1222no—
1327C2×D4—1222no—
1328C2×D4—1222no—
1329C2×D4—1222no—
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—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C22×C4—22no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—611no—
1354C22×C4—614no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—614no—
1359C22×C4—614no—
1360C22×C4—614no—
1361C22×C4—614no—
1362C22×C4—614no—
1363C22×C4—614no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—1222no—
1373C22×C4—1222no—
1374C22×C4—1222no—
1375C22×C4—1222no—
1376C22×C4—1222no—
1377C22×C4—1222no—
1378C22×C4—1222no—
1379C22×C4—1222no—
1380C22×C4—1222no—
1381C22×C4—1222no—
1382C22×C4—1222no—
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—2441no—
1392C22×C4—2441no—
1393C22×C4—2441no—
1394C22×C4—2441no—
1395C22×C4—2441no—
1396C22×C4—2441no—
1397C22×C4—2441no—
1398C22×C4—2441no—
1399C22×C4—24416no—
1400C22×C4—2441no—
1401C22×C4—2441no—
1402C22×C4D4×D6114yes—
1403C22×C4C23×D6111yescharacteristic
1404C22×C4C23×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406C22×C4C23×D6111yescharacteristic
1407C22×C4C23×D6111yescharacteristic
1408C22×C4C23×D6111yescharacteristic
1409C22×C4C23×D6111yescharacteristic
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412C22×C4C23×D6111yescharacteristic
1413C22×C4C23×D6111yescharacteristic
1414C22×C4C23×D6111yescharacteristic
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—1222no—
1422C4⋊C4—1222no—
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—2441no—
1434C4⋊C4—2441no—
1435C4⋊C4—2441no—
1436C4⋊C4—2441no—
1437C4⋊C4—2441no—
1438C4⋊C4—2441no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
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—41no—
1452C22⋊C4—1222no—
1453C22⋊C4—1222no—
1454C22⋊C4—1222no—
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—1222no—
1475C22⋊C4—1222no—
1476C22⋊C4—1222no—
1477C22⋊C4—1222no—
1478C22⋊C4—1222no—
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—
1491C42—22no—
1492C42—41no—
1493C42—41no—
1494C42—1222no—
1495C42—1222no—
1496C42—1222no—
1497C42—1222no—
1498C42—1222no—
1499C42—1222no—
1500C42—1222no—
1501C42—2441no—
1502C42—2441no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—612no—
1524C23—612no—
1525C23—612no—
1526C23—612no—
1527C23—1228no—
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—1221no—
1547C23—1221no—
1548C23—1221no—
1549C23—1221no—
1550C23—1221no—
1551C23—1221no—
1552C23—2444no—
1553C23—2444no—
1554C23—2444no—
1555C23—2444no—
1556C23—2444no—
1557C23—2444no—
1558C23C2×D4×D6112yes—
1559C23C24×D6111yescharacteristic
1560Q8—2444no—
1561Q8—2444no—
1562D4—44no—
1563D4—44no—
1564D4—82no—
1565D4—4882no—
1566D4—4882no—
1567D4—4882no—
1568D4—2444no—
1569D4—2444no—
1570D4—2444no—
1571D4—2444no—
1572D4—2444no—
1573D4—2444no—
1574D4—2444no—
1575D4—2444no—
1576D4—2444no—
1577D4—2444no—
1578D4—2444no—
1579D4—2444no—
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—612no—
1615C2×C4—612no—
1616C2×C4—612no—
1617C2×C4—612no—
1618C2×C4—612no—
1619C2×C4—612no—
1620C2×C4—1228no—
1621C2×C4—1228no—
1622C2×C4—1228no—
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—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—2444no—
1654C2×C4—2444no—
1655C2×C4—2444no—
1656C2×C4—2444no—
1657C2×C4—2444no—
1658C2×C4—2444no—
1659C2×C4—2444no—
1660C2×C4—2444no—
1661C2×C4—2444no—
1662C2×C4C2×D4×D6112yes—
1663C2×C4C2×D4×D6112yes—
1664C2×C4#41×D6112yes—
1665C2×C4#41×D6112yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—614no—
1688C22—1222no—
1689C22—1222no—
1690C22—1222no—
1691C22—1222no—
1692C22—1222no—
1693C22—1222no—
1694C22—1222no—
1695C22—1222no—
1696C22—1222no—
1697C22—24416no—
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—2441no—
1712C22—2441no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22C22×D4×D6111yescharacteristic
1717C22C2×#41×D6111yescharacteristic
1718C22C2×#41×D6111yescharacteristic
1719C22H(5,𝔽2)×D6111yescharacteristic
1720C22H(5,𝔽2)×D6111yescharacteristic
1721C22#1684059811yescharacteristic
1722C22#1684059811yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—614no—
1736C4—1222no—
1737C4—1222no—
1738C4—1222no—
1739C4—2441no—
1740C4—2441no—
1741C4—2441no—
1742C4—2441no—
1743C4—2441no—
1744C4—2441no—
1745C4—2441no—
1746C4—2441no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—1224no—
1751C2—4881no—
1752C2—4881no—
1753C2—2442no—
1754C2#532×D6111yescharacteristic
1755C2#534×D6111yescharacteristic
1756C2#2145914911yescharacteristic
1757C2#2145965011yescharacteristic
1758C2#2145965211yescharacteristic
1759C2#2145966511yescharacteristic
1760C2#2145966711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2602C2
hypercenter#2602D61
hypocenterC61#35032
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. C2×#16840271C2semidirect
2. C2×#16840270C2semidirect
3. #21454170C2semidirect
4. #21454163C2semidirect
5. #21454117C2semidirect
6. #21454117C2semidirect
7. #21451558C2semidirect
8. #21451558C2semidirect
9. #21451554C2semidirect
10. #21451552C2semidirect
11. #21451438C2semidirect
12. #21451436C2semidirect
13. #21451433C2semidirect
14. #21451431C2semidirect
15. #21451430C2semidirect
16. #21451428C2semidirect
17. #21451425C2semidirect
18. #21450279C2semidirect
19. #21450276C2semidirect
20. #21450270C2semidirect
21. #21450267C2semidirect
22. #21449445C2semidirect
23. #21449442C2semidirect
24. #21449436C2semidirect
25. #21449433C2semidirect
26. #21448523C2semidirect
27. #21448521C2semidirect
28. #21448518C2semidirect
29. #21448516C2semidirect
30. C4×C22⋊C4×D61C2semidirect
31. C61×#2602C2semidirect
35. C2×#14519776C22semidirect
36. C2×#14519773C22semidirect
37. C2×#14519763C22semidirect
38. C2×#14519763C22semidirect
101. #16839666C22semidirect
102. #16839666C22semidirect
103. #16839666C22semidirect
104. #16839666C22semidirect
105. #16839664C22semidirect
106. #16839662C22semidirect
107. #16839662C22semidirect
108. #16839662C22semidirect
109. #16839662C22semidirect
110. #16839662C22semidirect
111. #16839662C22semidirect
112. #16839660C22semidirect
113. #16839657C22semidirect
114. #16839657C22semidirect
115. #16839656C22semidirect
116. #16839656C22semidirect
117. #16839656C22semidirect
118. #16839655C22semidirect
119. #16839654C22semidirect
120. #16839653C22semidirect
121. #16839653C22semidirect
122. #16839653C22semidirect
123. #16839652C22semidirect
124. #16839652C22semidirect
125. #16839652C22semidirect
126. #16839651C22semidirect
127. #16839650C22semidirect
128. #16839649C22semidirect
129. #16839648C22semidirect
130. #16839647C22semidirect
131. #16839646C22semidirect
132. #16839645C22semidirect
133. #16839644C22semidirect
134. #16839643C22semidirect
135. #16839642C22semidirect
136. #16839641C22semidirect
141. #16839640C22semidirect
142. #16839640C22semidirect
143. #16839639C22semidirect
148. #16839638C22semidirect
149. #16839638C22semidirect
150. #16839637C22semidirect
151. #16839636C22semidirect
152. #16839636C22semidirect
153. #16839635C22semidirect
154. #16839634C22semidirect
155. #16839633C22semidirect
156. #16839633C22semidirect
157. #16839631C22semidirect
158. #16839631C22semidirect
159. #16839626C22semidirect
160. #16839626C22semidirect
180. C61×#390C22semidirect
181. C61×#389C22semidirect
182. C61×#388C22semidirect
183. C61×#388C22semidirect
184. C61×#388C22semidirect
185. C61×#387C22semidirect
186. C61×#386C22semidirect
187. C61×#385C22semidirect
217. C22×C4×D61D4semidirect
526. C2×C4×D61#41semidirect
527. C2×C4×D61#41semidirect
884. #2602D61semidirect
998. #390C2×D61semidirect
1002. #389C2×D61semidirect
1016. #388C2×D61semidirect
1017. #388C2×D61semidirect
1018. #388C2×D61semidirect
1026. #387C2×D61semidirect
1042. #386C2×D61semidirect
1050. #385C2×D61semidirect
1069. C61#35032semidirect

Maximal subgroups

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

subgroupindex
C2×#168402712
C2×#168402702
#214541702
#214541632
#214541172
#214515582
#214515542
#214515522
#214514382
#214514362
#214514332
#214514312
#214514302
#214514282
#214514252
#214502792
#214502762
#214502702
#214502672
#214494452
#214494422
#214494362
#214494332
#214485232
#214485212
#214485182
#214485162
C4×C22⋊C4×D612
C61×#26022
#3503261