Finite Group Databasebeta

← #29887519

Subgroups — #29887519

Order 15616.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840368C211yesmaximal, characteristic, complemented
2C2×#16840348C211yesmaximal, characteristic, complemented
3#21454163C211yesmaximal, characteristic, complemented
4#21454152C211yesmaximal, characteristic, complemented
5#21452708C211yesmaximal, characteristic, complemented
6#21452613C211yesmaximal, characteristic, complemented
7#21452166C211yesmaximal, characteristic, complemented
8#21452160C211yesmaximal, characteristic, complemented
9#21452141C211yesmaximal, characteristic, complemented
10#21452126C211yesmaximal, characteristic, complemented
11#21452110C211yesmaximal, characteristic, complemented
12#21452086C211yesmaximal, characteristic, complemented
13#21452085C211yesmaximal, characteristic, complemented
14#21452075C211yesmaximal, characteristic, complemented
15#21452060C211yesmaximal, characteristic, complemented
16#21452052C211yesmaximal, characteristic, complemented
17#21452035C211yesmaximal, characteristic, complemented
18#21452034C211yesmaximal, characteristic, complemented
19#21452029C211yesmaximal, characteristic, complemented
20#21451954C211yesmaximal, characteristic, complemented
21#21451952C211yesmaximal, characteristic, complemented
22#21451504C211yesmaximal, characteristic, complemented
23#21451449C211yesmaximal, characteristic, complemented
24#21451435C211yesmaximal, characteristic, complemented
25#21451422C211yesmaximal, characteristic, complemented
26#21450754C211yesmaximal, characteristic, complemented
27#21450746C211yesmaximal, characteristic, complemented
28#21449239C211yesmaximal, characteristic, complemented
29#21449199C211yesmaximal, characteristic, complemented
30#21448257C211yesmaximal, characteristic, complemented
31C61×#2694C211yesmaximal, characteristic, complemented
32#16840368—28no—
33#16840348—28no—
34C2×#14519774C2211yescharacteristic
35C2×#14519773C2211yescharacteristic
36C2×#14519772C2211yescharacteristic
37C2×#14519770C2211yescharacteristic
38C2×#14519763C2211yescharacteristic
39C2×#14519763C2211yescharacteristic
40C2×#14519762C2211yescharacteristic
41C2×#14519762C2211yescharacteristic
42C2×#14519762C2211yescharacteristic
43C2×#14519762C2211yescharacteristic
44C2×#14519762C2211yescharacteristic
45C2×#14519762C2211yescharacteristic, complemented
46C2×#14519762C2211yescharacteristic, complemented
47C2×#14519757C2211yescharacteristic
48C2×#14519755C2211yescharacteristic, complemented
49C2×#14519755C2211yescharacteristic, complemented
50C2×#14519752C2211yescharacteristic
51C2×#14519752C2211yescharacteristic
52C2×#14519752C2211yescharacteristic
53C2×#14519752C2211yescharacteristic
54C2×#14519752C2211yescharacteristic, complemented
55C2×#14519752C2211yescharacteristic, complemented
56C2×#14519752C2211yescharacteristic, complemented
57C2×#14519751C2211yescharacteristic
58C2×#14519751C2211yescharacteristic, complemented
59C2×#14519750C2211yescharacteristic
60C2×#14519750C2211yescharacteristic
61C2×#14519750C2211yescharacteristic
62C2×#14519750C2211yescharacteristic
63C2×#14519750C2211yescharacteristic
64C2×#14519750C2211yescharacteristic, complemented
65C2×#14519750C2211yescharacteristic, complemented
66C2×#14519748C2211yescharacteristic
67C2×#14519747C2211yescharacteristic
68C2×#14519747C2211yescharacteristic
69C2×#14519747C2211yescharacteristic
70C2×#14519747C2211yescharacteristic
71C2×#14519745C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C2×#14519739C2211yescharacteristic, complemented
74C2×C4×C22⋊D61C2211yescharacteristic
75C2×#14519735C2211yescharacteristic
76C2×#14519734C2211yescharacteristic, complemented
77C2×C22⋊C4×D61C2211yescharacteristic
78C2×C42×D61C2211yescharacteristic, complemented
79#16839697C2211yescharacteristic
80#16839697C2211yescharacteristic
81#16839696C2211yescharacteristic, complemented
82#16839693C2211yescharacteristic, complemented
83#16839692C2211yescharacteristic, complemented
84#16839691C2211yescharacteristic
85#16839689C2211yescharacteristic, complemented
86#16839688C2211yescharacteristic
87#16839685C2211yescharacteristic
88#16839684C2211yescharacteristic
89#16839684C2211yescharacteristic, complemented
90#16839682C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic
92#16839680C2211yescharacteristic
93#16839680C2211yescharacteristic, complemented
94#16839679C2211yescharacteristic
95#16839679C2211yescharacteristic
96#16839679C2211yescharacteristic, complemented
97#16839679C2211yescharacteristic, complemented
98#16839679C2211yescharacteristic, complemented
99#16839678C2211yescharacteristic
100#16839678C2211yescharacteristic
101#16839677C2211yescharacteristic
102#16839677C2211yescharacteristic
103#16839677C2211yescharacteristic
104#16839677C2211yescharacteristic, complemented
105#16839675C2211yescharacteristic, complemented
106#16839672C2211yescharacteristic
107#16839672C2211yescharacteristic
108#16839672C2211yescharacteristic
109#16839672C2211yescharacteristic
110#16839672C2211yescharacteristic
111#16839671C2211yescharacteristic
112#16839671C2211yescharacteristic
113#16839671C2211yescharacteristic
114#16839671C2211yescharacteristic
115#16839671C2211yescharacteristic
116#16839671C2211yescharacteristic
117#16839671C2211yescharacteristic
118#16839671C2211yescharacteristic, complemented
119#16839671C2211yescharacteristic, complemented
120#16839670C2211yescharacteristic
121#16839664C2211yescharacteristic
122#16839664C2211yescharacteristic, complemented
123#16839663C2211yescharacteristic
124#16839663C2211yescharacteristic
125#16839663C2211yescharacteristic
126#16839663C2211yescharacteristic, complemented
127#16839662C2211yescharacteristic
128#16839662C2211yescharacteristic
129#16839662C2211yescharacteristic
130#16839662C2211yescharacteristic, complemented
131#16839662C2211yescharacteristic, complemented
132#16839662C2211yescharacteristic, complemented
133#16839658C2211yescharacteristic, complemented
134#16839658C2211yescharacteristic, complemented
135#16839654C2211yescharacteristic, complemented
136#16839653C2211yescharacteristic
137#16839653C2211yescharacteristic
138#16839652C2211yescharacteristic
139#16839652C2211yescharacteristic, complemented
140#16839651C2211yescharacteristic
141#16839651C2211yescharacteristic
142#16839651C2211yescharacteristic, complemented
143#16839651C2211yescharacteristic, complemented
144#16839651C2211yescharacteristic, complemented
145#16839650C2211yescharacteristic
146#16839650C2211yescharacteristic, complemented
147#16839648C2211yescharacteristic, complemented
148#16839646C2211yescharacteristic, complemented
149#16839643C2211yescharacteristic, complemented
150#16839641C2211yescharacteristic, complemented
151#16839640C2211yescharacteristic
152#16839640C2211yescharacteristic
153#16839640C2211yescharacteristic
154#16839640C2211yescharacteristic
155#16839640C2211yescharacteristic
156#16839640C2211yescharacteristic, complemented
157#16839638C2211yescharacteristic
158#16839638C2211yescharacteristic
159#16839638C2211yescharacteristic
160#16839638C2211yescharacteristic, complemented
161#16839636C2211yescharacteristic, complemented
162#16839636C2211yescharacteristic, complemented
163#16839636C2211yescharacteristic, complemented
164#16839636C2211yescharacteristic, complemented
165#16839633C2211yescharacteristic
166#16839633C2211yescharacteristic, complemented
167#16839631C2211yescharacteristic, complemented
168#16839619C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic
170#16839613C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic
172#16839609C2211yescharacteristic, complemented
173#16839607C2211yescharacteristic, complemented
174C2×#125×C61C2211yescharacteristic, complemented
175C2×#123×C61C2211yescharacteristic
176C61×#399C2211yescharacteristic
177C61×#399C2211yescharacteristic, complemented
178C61×#398C2211yescharacteristic, complemented
179C61×#397C2211yescharacteristic
180C61×#396C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#390C2211yescharacteristic
183C61×#389C2211yescharacteristic, complemented
184C61×#388C2211yescharacteristic
185C61×#388C2211yescharacteristic, complemented
186C61×#387C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
203C22×D244C2311yescharacteristic
204C22×D244C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C22×C22⋊D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223#14519774—24no—
224#14519773—42no—
225#14519772—24no—
226#14519770—24no—
227#14519763—24no—
228#14519763—24no—
229#14519762—24no—
230#14519762—24no—
231#14519762—24no—
232#14519762—24no—
233#14519762—24no—
234#14519762—42no—
235#14519762—42no—
236#14519757—24no—
237#14519755—42no—
238#14519755—42no—
239#14519752—24no—
240#14519752—24no—
241#14519752—24no—
242#14519752—24no—
243#14519752—24no—
244#14519752—24no—
245#14519752—42no—
246#14519751—24no—
247#14519751—42no—
248#14519750—24no—
249#14519750—42no—
250#14519750—42no—
251#14519750—42no—
252#14519750—42no—
253#14519750—42no—
254#14519750—42no—
255#14519748—24no—
256#14519747—24no—
257#14519747—42no—
258#14519747—42no—
259#14519747—42no—
260#14519745—24no—
261#14519739—24no—
262#14519739D418yescomplemented
263C4×C22⋊D61—24no—
264#14519735—42no—
265#14519734—24no—
266C2×C4⋊Dic61C2311yescharacteristic
267C2×C4⋊Dic61C2311yescharacteristic
268C2×C4⋊Dic61C2311yescharacteristic
269C2×C4⋊Dic61C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
279C2×#11758196C2311yescharacteristic
280C2×#11758196C2311yescharacteristic
281C2×#11758196C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C2×#11758198C2311yescharacteristic
329C22⋊C4×D61—24no—
330C2×C4×Dic61C2311yescharacteristic
331C2×C4×Dic61C2311yescharacteristic
332C2×C4×Dic61C2311yescharacteristic
333C2×C4×Dic61C2311yescharacteristic
334C2×C4×Dic61C2311yescharacteristic
335C2×C4×Dic61C2311yescharacteristic
336C2×C4×Dic61C2311yescharacteristic
337C42×D61—42no—
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356#125×C61—24no—
357#123×C61—24no—
358C2×C4⋊C4×C61C2311yescharacteristic
359C2×C4⋊C4×C61C2311yescharacteristic
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊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×C22⋊C4×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
393C23×D61—22no—
394C23×D61—41no—
395C23×D61—41no—
396C23×D61—41no—
397C23×D61—41no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C23×D61C2411yescharacteristic
406C2×D4×C61—22no—
407C2×D4×C61—41no—
408C2×D4×C61—41no—
409C22×C4×C61—22no—
410C22×C4×C61—41no—
411C22×C4×C61—41no—
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—22no—
430C2×C22⋊D61—22no—
431C2×C22⋊D61—22no—
432C2×C22⋊D61—22no—
433C2×C22⋊D61—41no—
434C2×C22⋊D61—41no—
435C2×C22⋊D61—41no—
436C2×C22⋊D61—41no—
437C2×C22⋊D61—41no—
438C2×C22⋊D61—41no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C2×D244—22no—
466C2×D244—22no—
467C2×D244—22no—
468C2×D244—22no—
469C2×D244—22no—
470C2×D244—22no—
471C2×D244—22no—
472C2×D244—22no—
473C2×D244—22no—
474C2×D244—22no—
475C2×D244—22no—
476C2×D244—41no—
477C2×D244—41no—
478C2×D244—41no—
479C2×D244—41no—
480C2×D244—41no—
481C2×D244—41no—
482C2×D244—41no—
483C2×D244—41no—
484C2×D244—41no—
485C2×D244—41no—
486C2×D244—41no—
487C2×D244—41no—
488C2×D244—41no—
489C2×D244—41no—
490C2×D244—41no—
491C2×D244—41no—
492C2×D244—41no—
493C2×D244—41no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×D244—41no—
498C2×D244—41no—
499C2×D244—41no—
500C2×D244—41no—
501C2×D244—41no—
502C2×D244—41no—
503C2×D244—41no—
504C2×D244—41no—
505C2×D244—41no—
506C2×D244C2×D414yes—
507C2×C4×D61—22no—
508C2×C4×D61—22no—
509C2×C4×D61—22no—
510C2×C4×D61—22no—
511C2×C4×D61—22no—
512C2×C4×D61—22no—
513C2×C4×D61—22no—
514C2×C4×D61—41no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61—41no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61C2×D414yes—
530C2×C4×D61C2×D414yes—
531C2×Dic122—22no—
532C2×Dic122—41no—
533C2×Dic122—41no—
534C4⋊C4×C61—22no—
535C4⋊C4×C61—22no—
536C4⋊C4×C61—22no—
537C4⋊C4×C61—22no—
538C4⋊C4×C61—22no—
539C4⋊C4×C61—22no—
540C4⋊C4×C61—22no—
541C4⋊C4×C61—41no—
542C4⋊C4×C61—41no—
543C4⋊C4×C61—41no—
544C4⋊C4×C61—41no—
545C4⋊C4×C61C2×D414yes—
546C22⋊C4×C61—22no—
547C22⋊C4×C61—22no—
548C22⋊C4×C61—22no—
549C22⋊C4×C61—22no—
550C22⋊C4×C61—22no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C22⋊C4×C61—41no—
555C22⋊C4×C61—41no—
556C22⋊C4×C61—41no—
557C42×C61—22no—
558C42×C61—41no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—41no—
563C22⋊Dic61—41no—
564#11758198—22no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—22no—
572#11758198—22no—
573#11758198—22no—
574#11758198—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—
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—
604#11758198C2×D414yes—
605#11758198C2×D414yes—
606C4⋊Dic61—22no—
607C4⋊Dic61—22no—
608C4⋊Dic61—22no—
609C4⋊Dic61—41no—
610#11758196—22no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—22no—
615#11758196—22no—
616#11758196—22no—
617#11758196—22no—
618#11758196—41no—
619#11758196—41no—
620#11758196—41no—
621#11758196—41no—
622C4×Dic61—22no—
623C4×Dic61—22no—
624C4×Dic61—22no—
625C4×Dic61—41no—
626C4×Dic61—41no—
627C4×Dic61—41no—
628C4×Dic61C2×D414yes—
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×C61—21no—
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—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—21no—
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—44no—
685C22×D61—82no—
686C22×D61—82no—
687C22×D61—82no—
688C22×D61—82no—
689C22×D61—82no—
690C22×D61—82no—
691C22×D61C22×D412yes—
692C22×D61C22×D412yes—
693D4×C61—82no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—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—82no—
730C2×C4×C61C22×D412yes—
731C2×C4×C61C22×D412yes—
732C2×C4×C61C22×D412yes—
733C2×C4×C61H(5,𝔽2)12yes—
734C22⋊D61—44no—
735C22⋊D61—82no—
736C22⋊D61—82no—
737C22⋊D61—82no—
738C22⋊D61—82no—
739C22⋊D61—82no—
740C22⋊D61—82no—
741C22⋊D61—82no—
742C22⋊D61—82no—
743C22⋊D61—82no—
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×Dic61C22×D412yes—
771C2×Dic61C22×D412yes—
772C2×Dic61H(5,𝔽2)12yes—
773C2×Dic61H(5,𝔽2)12yes—
774D244—44no—
775D244—44no—
776D244—82no—
777D244—82no—
778D244—82no—
779D244—82no—
780D244—82no—
781D244—82no—
782D244—82no—
783D244—82no—
784D244—82no—
785D244—82no—
786D244—82no—
787D244—82no—
788C4×D61—44no—
789C4×D61—44no—
790C4×D61—44no—
791C4×D61—44no—
792C4×D61—44no—
793C4×D61—82no—
794C4×D61—82no—
795C4×D61—82no—
796Dic122—82no—
797#36744—611nomaximal, Sylow
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×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61C23×D411yescharacteristic
813C22×C61C2×H(5,𝔽2)11yescharacteristic
814C22×C61C2×H(5,𝔽2)11yescharacteristic
815C22×C61C2×H(5,𝔽2)11yescharacteristic
816C22×C61#58511yescharacteristic
817C22×C61#58511yescharacteristic
818C22×C61#58511yescharacteristic
819C2×D61—22no—
820C2×D61—22no—
821C2×D61—22no—
822C2×D61—22no—
823C2×D61—22no—
824C2×D61—22no—
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—41no—
843C2×D61—41no—
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—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—88no—
862C4×C61—22no—
863C4×C61—22no—
864C4×C61—22no—
865C4×C61—22no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870C4×C61—41no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875Dic61—22no—
876Dic61—22no—
877Dic61—22no—
878Dic61—22no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885C2×#540—611no—
886C2×#538—611no—
887#2856—611no—
888#2854—611no—
889#2721—611no—
890#2714—611no—
891#2694D6111yescharacteristic, complemented
892#2681—611no—
893#2680—611no—
894#2678—611no—
895#2676—611no—
896#2675—611no—
897#2673—611no—
898#2673—611no—
899#2672—611no—
900#2671—611no—
901#2671—611no—
902#2669—611no—
903#2669—611no—
904#2668—611no—
905#2661—611no—
906#2661—611no—
907#2610—611no—
908#2603—611no—
909#2602—611no—
910#2601—611no—
911#2540—611no—
912#2539—611no—
913#2414—611no—
914#2411—611no—
915#2290—611no—
916C2×C61—81no—
917C2×C61—81no—
918C2×C61#344911yescharacteristic
919C2×C61#349611yescharacteristic
920C2×C61#349811yescharacteristic
921C2×C61#353411yescharacteristic
922C2×C61#354211yescharacteristic
923C2×C61#355111yescharacteristic
924C2×C61#356211yescharacteristic
925D61—42no—
926D61—42no—
927D61—81no—
928D61—81no—
929D61—81no—
930D61—81no—
931#540—1228no—
932#538—1228no—
933C2×#127—611no—
934C2×#127—611no—
935C2×#126—611no—
936C2×#126—611no—
937C2×#125C2×D6111yescharacteristic, complemented
938C2×#124—611no—
939C2×#124—611no—
940C2×#123—611no—
941C2×#123—611no—
942C2×#123—611no—
943C2×#123—611no—
944C2×#123—611no—
945C2×#123—611no—
946C2×#123—611no—
947C2×#123C2×D6111yescharacteristic
948C2×C22⋊Q8—611no—
949C2×C22⋊Q8—611no—
950C2×C22⋊Q8—611no—
951C2×#121—611no—
952C2×#121—611no—
953C2×#121—611no—
954C2×#121—611no—
955C2×#121—611no—
956C2×#121—611no—
957C2×#121—611no—
958C2×#121—611no—
959C2×#121—611no—
960C2×#121—611no—
961C2×#121—611no—
962C2×#121—611no—
963C2×#121—611no—
964C2×#121—611no—
965C2×#121—611no—
966C2×#121—611no—
967C2×#121—611no—
968C2×#120—611no—
969C2×#120—611no—
970C2×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×C4×D4—611no—
974C2×C4×D4—611no—
975C2×C4×D4—611no—
976C2×#117—611no—
977C2×#117—611no—
978C22×C22⋊C4—611no—
979C22×C42—611no—
980#399—611no—
981#399—611no—
982#399C2×D6111yescharacteristic
983#399C2×D6111yescharacteristic, complemented
984#398—611no—
985#398—611no—
986#398—611no—
987#398C2×D6111yescharacteristic, complemented
988#397—611no—
989#397—611no—
990#397—611no—
991#397C2×D6111yescharacteristic
992#396—611no—
993#396—611no—
994#396—611no—
995#396C2×D6111yescharacteristic
996#395—611no—
997#394—611no—
998#394—611no—
999#394—611no—
1000#394—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394—611no—
1009#394—611no—
1010#394—611no—
1011#394C2×D6111yescharacteristic
1012#393—611no—
1013#392—611no—
1014#392—611no—
1015#392—611no—
1016#392—611no—
1017#392—611no—
1018#392—611no—
1019#392—611no—
1020#392—611no—
1021#392—611no—
1022#392—611no—
1023#392—611no—
1024#392—611no—
1025#392—611no—
1026#392—611no—
1027#392—611no—
1028#390—611no—
1029#390—611no—
1030#390—611no—
1031#390—611no—
1032#390—611no—
1033#390—611no—
1034#390—611no—
1035#390—611no—
1036#390—611no—
1037#390—611no—
1038#390—611no—
1039#390—611no—
1040#390C2×D6111yescharacteristic
1041#389—611no—
1042#389—611no—
1043#389C2×D6111yescharacteristic, complemented
1044#388—611no—
1045#388—611no—
1046#388—611no—
1047#388—611no—
1048#388—611no—
1049#388—611no—
1050#388—611no—
1051#388—611no—
1052#388—611no—
1053#388—611no—
1054#388—611no—
1055#388—611no—
1056#388C2×D6111yescharacteristic
1057#388C2×D6111yescharacteristic, complemented
1058#387—611no—
1059#387—611no—
1060#387—611no—
1061#387C2×D6111yescharacteristic, complemented
1062#386—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386—611no—
1072#386—611no—
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385C2×D6111yescharacteristic, complemented
1080#384—611no—
1081#380—611no—
1082#380C2×D6111yescharacteristic, complemented
1083#379—611no—
1084C4×C4⋊C4—611no—
1085C4×C22⋊C4—611no—
1086C4×C22⋊C4—611no—
1087#376—611no—
1088C61#3674411yescharacteristic, complemented, Sylow
1089C25—611no—
1090C22×Q8—611no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—611no—
1104C22×D4—611no—
1105C22×D4—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C22×D4C22×D6111yescharacteristic
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—611no—
1119C23×C4—611no—
1120C23×C4—611no—
1121C23×C4—611no—
1122C23×C4—611no—
1123C23×C4—611no—
1124C23×C4C22×D6111yescharacteristic
1125#127—1224no—
1126#127—2442no—
1127#126—1224no—
1128#126—1224no—
1129#125—24no—
1130#124—1224no—
1131#124—1224no—
1132#123—24no—
1133#123—1224no—
1134#123—1224no—
1135#123—1224no—
1136#123—1224no—
1137#123—1224no—
1138#123—2442no—
1139#123—2442no—
1140C22⋊Q8—1224no—
1141C22⋊Q8—2442no—
1142C22⋊Q8—2442no—
1143#121—1224no—
1144#121—1224no—
1145#121—1224no—
1146#121—1224no—
1147#121—1224no—
1148#121—1224no—
1149#121—1224no—
1150#121—1224no—
1151#121—1224no—
1152#121—2442no—
1153#121—2442no—
1154#121—2442no—
1155#121—2442no—
1156#121—2442no—
1157#121—2442no—
1158#121—2442no—
1159#121—2442no—
1160#120—1224no—
1161#120—1224no—
1162#120—2442no—
1163#120—2442no—
1164#120—2442no—
1165C4×D4—618no—
1166C4×D4—1224no—
1167C4×D4—1224no—
1168#117—1224no—
1169#117—2442no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—611no—
1172C2×C4⋊C4—611no—
1173C2×C4⋊C4—611no—
1174C2×C4⋊C4—611no—
1175C2×C4⋊C4—611no—
1176C2×C4⋊C4—611no—
1177C2×C4⋊C4—611no—
1178C2×C4⋊C4—611no—
1179C2×C4⋊C4—611no—
1180C2×C4⋊C4—611no—
1181C2×C4⋊C4—611no—
1182C2×C4⋊C4—611no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4C22×D6111yescharacteristic
1187C2×C4⋊C4C22×D6111yescharacteristic
1188C2×C4⋊C4C22×D6111yescharacteristic
1189C2×C4⋊C4C22×D6111yescharacteristic
1190C2×C4⋊C4C22×D6111yescharacteristic
1191C2×C4⋊C4C22×D6111yescharacteristic
1192C2×C4⋊C4C22×D6111yescharacteristic
1193C2×C4⋊C4C22×D6111yescharacteristic
1194C2×C4⋊C4C22×D6111yescharacteristic
1195C2×C4⋊C4C22×D6111yescharacteristic
1196C2×C4⋊C4C22×D6111yescharacteristic
1197C2×C4⋊C4C22×D6111yescharacteristic
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊C4—1224no—
1246C2×C22⋊C4C22×D6111yescharacteristic
1247C2×C22⋊C4C22×D6111yescharacteristic
1248C2×C22⋊C4C22×D6111yescharacteristic
1249C2×C22⋊C4C22×D6111yescharacteristic
1250C2×C22⋊C4C22×D6111yescharacteristic
1251C2×C22⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4C22×D6111yescharacteristic
1253C2×C22⋊C4C22×D6111yescharacteristic
1254C2×C22⋊C4C22×D6111yescharacteristic
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C42—611no—
1258C2×C42—611no—
1259C2×C42—611no—
1260C2×C42—611no—
1261C2×C42—611no—
1262C2×C42—611no—
1263C2×C42—611no—
1264C2×C42—2442no—
1265C2×C42C22×D6111yescharacteristic
1266C2×C42C22×D6111yescharacteristic
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#95—611no—
1280#95—611no—
1281#95—611no—
1282#95—611no—
1283#95C22×D6111yescharacteristic
1284#95C22×D6111yescharacteristic
1285#95C22×D6111yescharacteristic
1286#95C22×D6111yescharacteristic
1287#95C22×D6111yescharacteristic
1288#95C22×D6111yescharacteristic
1289#95C22×D6111yescharacteristic
1290#95C22×D6111yescharacteristic
1291C24—611no—
1292C24—611no—
1293C24—611no—
1294C24—611no—
1295C24—611no—
1296C24—611no—
1297C24—1222no—
1298C24—2441no—
1299C24—2441no—
1300C24—2441no—
1301C24—2441no—
1302C24—2441no—
1303C24—2441no—
1304C24C23×D6111yescharacteristic
1305C24C23×D6111yescharacteristic
1306C2×Q8—1222no—
1307C2×Q8—2441no—
1308C2×Q8—2441no—
1309C2×D4—22no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—614no—
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—1222no—
1331C2×D4—1222no—
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—
1348C2×D4—2441no—
1349C2×D4—2441no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4—2441no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2441no—
1358C2×D4—2441no—
1359C2×D4—2441no—
1360C2×D4—2441no—
1361C2×D4—2441no—
1362C2×D4—2441no—
1363C2×D4—2441no—
1364C2×D4—2441no—
1365C2×D4—2441no—
1366C2×D4—2441no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2441no—
1372C2×D4—2441no—
1373C2×D4—2441no—
1374C2×D4—2441no—
1375C2×D4—2441no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4—2441no—
1384C22×C4—22no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—614no—
1392C22×C4—614no—
1393C22×C4—611no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—611no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—1222no—
1400C22×C4—1222no—
1401C22×C4—1222no—
1402C22×C4—1222no—
1403C22×C4—1222no—
1404C22×C4—1222no—
1405C22×C4—1222no—
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—2441no—
1420C22×C4—2441no—
1421C22×C4C23×D6111yescharacteristic
1422C22×C4C23×D6111yescharacteristic
1423C22×C4C23×D6111yescharacteristic
1424C22×C4C23×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426C22×C4C23×D6111yescharacteristic
1427C22×C4C23×D6111yescharacteristic
1428C22×C4C23×D6111yescharacteristic
1429C22×C4C23×D6111yescharacteristic
1430C22×C4C23×D6111yescharacteristic
1431C22×C4C23×D6111yescharacteristic
1432C22×C4C23×D6111yescharacteristic
1433C22×C4C23×D6111yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—41no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—41no—
1445C4⋊C4—1222no—
1446C4⋊C4—1222no—
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—1222no—
1456C4⋊C4—2441no—
1457C4⋊C4—2441no—
1458C4⋊C4—2441no—
1459C4⋊C4—2441no—
1460C4⋊C4—2441no—
1461C4⋊C4D4×D6114yes—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—614no—
1474C22⋊C4—614no—
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—1222no—
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—
1515C22⋊C4—2441no—
1516C22⋊C4—2441no—
1517C22⋊C4—2441no—
1518C22⋊C4—2441no—
1519C22⋊C4—2441no—
1520C42—22no—
1521C42—41no—
1522C42—614no—
1523C42—1222no—
1524C42—1222no—
1525C42—1222no—
1526C42—2441no—
1527C42—2441no—
1528C42—2441no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—612no—
1544C23—612no—
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—1221no—
1567C23—1221no—
1568C23—1221no—
1569C23—1221no—
1570C23—1221no—
1571C23—1221no—
1572C23—1221no—
1573C23—1221no—
1574C23—1221no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—1221no—
1584C23—1221no—
1585C23—4882no—
1586C23—4882no—
1587C23—4882no—
1588C23—4882no—
1589C23—4882no—
1590C23—4882no—
1591C23—2444no—
1592C23C24×D6111yescharacteristic
1593Q8—4882no—
1594D4—82no—
1595D4—4882no—
1596D4—4882no—
1597D4—4882no—
1598D4—4882no—
1599D4—4882no—
1600D4—4882no—
1601D4—4882no—
1602D4—4882no—
1603D4—4882no—
1604D4—4882no—
1605D4—4882no—
1606D4—4882no—
1607D4—4882no—
1608D4—4882no—
1609D4—4882no—
1610D4—4882no—
1611D4—4882no—
1612D4—4882no—
1613D4—4882no—
1614D4—4882no—
1615D4—4882no—
1616D4—2444no—
1617D4—2444no—
1618D4—2444no—
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—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—82no—
1655C2×C4—612no—
1656C2×C4—612no—
1657C2×C4—612no—
1658C2×C4—612no—
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—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—4882no—
1686C2×C4—4882no—
1687C2×C4—4882no—
1688C2×C4—2444no—
1689C2×C4—2444no—
1690C2×C4—2444no—
1691C2×C4—2444no—
1692C2×C4—2444no—
1693C2×C4C2×D4×D6112yes—
1694C2×C4C2×D4×D6112yes—
1695C2×C4C2×D4×D6112yes—
1696C2×C4#1451982312yes—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—1222no—
1712C22—1222no—
1713C22—1222no—
1714C22—1222no—
1715C22—1222no—
1716C22—1222no—
1717C22—4888no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22—2441no—
1724C22—2441no—
1725C22—2441no—
1726C22—2441no—
1727C22—2441no—
1728C22—2441no—
1729C22—2441no—
1730C22—2441no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22—2441no—
1754C22C22×D4×D6111yescharacteristic
1755C22H(5,𝔽2)×D6111yescharacteristic
1756C22H(5,𝔽2)×D6111yescharacteristic
1757C22C2×#1451982311yescharacteristic
1758C22#1684059811yescharacteristic
1759C22#1684059911yescharacteristic
1760C22#1684059911yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—1222no—
1775C4—1222no—
1776C4—1222no—
1777C4—1222no—
1778C4—2441no—
1779C4—2441no—
1780C4—2441no—
1781C4—2441no—
1782C4—2441no—
1783C4—2441no—
1784C2—81no—
1785C2—81no—
1786C2—4881no—
1787C2—4881no—
1788C2—4881no—
1789C2—4881no—
1790C2—2442no—
1791C2—2442no—
1792C2#2145915111yescharacteristic
1793C2#2145957911yescharacteristic
1794C2#2145959611yescharacteristic
1795C2#2146001411yescharacteristic
1796C2#2146013211yescharacteristic
1797C2#2146024711yescharacteristic
1798C2#2146040211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2694C2
hypercenter#2694D61
hypocenterC61#36744
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2694

Complements

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

NH ≅ G/Ntype
1. C2×#16840368C2semidirect
2. C2×#16840348C2semidirect
3. #21454163C2semidirect
4. #21454152C2semidirect
5. #21452708C2semidirect
6. #21452613C2semidirect
7. #21452166C2semidirect
8. #21452160C2semidirect
9. #21452141C2semidirect
10. #21452126C2semidirect
11. #21452110C2semidirect
12. #21452086C2semidirect
13. #21452085C2semidirect
14. #21452075C2semidirect
15. #21452060C2semidirect
16. #21452052C2semidirect
17. #21452035C2semidirect
18. #21452034C2semidirect
19. #21452029C2semidirect
20. #21451954C2semidirect
21. #21451952C2semidirect
22. #21451504C2semidirect
23. #21451449C2semidirect
24. #21451435C2semidirect
25. #21451422C2semidirect
26. #21450754C2semidirect
27. #21450746C2semidirect
28. #21449239C2semidirect
29. #21449199C2semidirect
30. #21448257C2semidirect
31. C61×#2694C2semidirect
45. C2×#14519762C22semidirect
46. C2×#14519762C22semidirect
48. C2×#14519755C22semidirect
49. C2×#14519755C22semidirect
54. C2×#14519752C22semidirect
55. C2×#14519752C22semidirect
56. C2×#14519752C22semidirect
58. C2×#14519751C22semidirect
64. C2×#14519750C22semidirect
65. C2×#14519750C22semidirect
73. C2×#14519739C22semidirect
76. C2×#14519734C22semidirect
78. C2×C42×D61C22semidirect
81. #16839696C22semidirect
82. #16839693C22semidirect
83. #16839692C22semidirect
85. #16839689C22semidirect
89. #16839684C22semidirect
90. #16839682C22semidirect
93. #16839680C22semidirect
96. #16839679C22semidirect
97. #16839679C22semidirect
98. #16839679C22semidirect
104. #16839677C22semidirect
105. #16839675C22semidirect
118. #16839671C22semidirect
119. #16839671C22semidirect
122. #16839664C22semidirect
126. #16839663C22semidirect
130. #16839662C22semidirect
131. #16839662C22semidirect
132. #16839662C22semidirect
133. #16839658C22semidirect
134. #16839658C22semidirect
135. #16839654C22semidirect
139. #16839652C22semidirect
142. #16839651C22semidirect
143. #16839651C22semidirect
144. #16839651C22semidirect
146. #16839650C22semidirect
147. #16839648C22semidirect
148. #16839646C22semidirect
149. #16839643C22semidirect
150. #16839641C22semidirect
156. #16839640C22semidirect
160. #16839638C22semidirect
161. #16839636C22semidirect
162. #16839636C22semidirect
163. #16839636C22semidirect
164. #16839636C22semidirect
166. #16839633C22semidirect
167. #16839631C22semidirect
168. #16839619C22semidirect
170. #16839613C22semidirect
172. #16839609C22semidirect
173. #16839607C22semidirect
174. C2×#125×C61C22semidirect
177. C61×#399C22semidirect
178. C61×#398C22semidirect
183. C61×#389C22semidirect
185. C61×#388C22semidirect
186. C61×#387C22semidirect
187. C61×#385C22semidirect
188. C61×#380C22semidirect
262. #14519739D4semidirect
891. #2694D61semidirect
937. C2×#125C2×D61semidirect
983. #399C2×D61semidirect
987. #398C2×D61semidirect
1043. #389C2×D61semidirect
1057. #388C2×D61semidirect
1061. #387C2×D61semidirect
1079. #385C2×D61semidirect
1082. #380C2×D61semidirect
1088. C61#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#168403682
C2×#168403482
#214541632
#214541522
#214527082
#214526132
#214521662
#214521602
#214521412
#214521262
#214521102
#214520862
#214520852
#214520752
#214520602
#214520522
#214520352
#214520342
#214520292
#214519542
#214519522
#214515042
#214514492
#214514352
#214514222
#214507542
#214507462
#214492392
#214491992
#214482572
C61×#26942
#3674461