Finite Group Databasebeta

← #29887886

Subgroups — #29887886

Order 15616.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454106C211yesmaximal, characteristic, complemented
2#21454101C211yesmaximal, characteristic, complemented
3#21453672C211yesmaximal, characteristic, complemented
4#21453485C211yesmaximal, characteristic, complemented
5#21453456C211yesmaximal, characteristic, complemented
6#21453441C211yesmaximal, characteristic, complemented
7#21453440C211yesmaximal, characteristic, complemented
8#21453144C211yesmaximal, characteristic, complemented
9#21453099C211yesmaximal, characteristic, complemented
10#21453045C211yesmaximal, characteristic, complemented
11#21452938C211yesmaximal, characteristic, complemented
12#21452819C211yesmaximal, characteristic, complemented
13#21452618C211yesmaximal, characteristic, complemented
14#21452466C211yesmaximal, characteristic, complemented
15#21452451C211yesmaximal, characteristic, complemented
16#21452370C211yesmaximal, characteristic, complemented
17#21452256C211yesmaximal, characteristic, complemented
18#21452124C211yesmaximal, characteristic, complemented
19#21451531C211yesmaximal, characteristic, complemented
20#21451531C211yesmaximal, characteristic, complemented
21#21450204C211yesmaximal, characteristic, complemented
22#21450145C211yesmaximal, characteristic, complemented
23#21450059C211yesmaximal, characteristic, complemented
24#21449939C211yesmaximal, characteristic, complemented
25#21449370C211yesmaximal, characteristic, complemented
26#21449355C211yesmaximal, characteristic, complemented
27#21449296C211yesmaximal, characteristic, complemented
28#21449281C211yesmaximal, characteristic, complemented
29#21448477C211yesmaximal, characteristic, complemented
30#21448477C211yesmaximal, characteristic, complemented
31C2×C61×#386C211yesmaximal, characteristic, complemented
32C2×#14519770C2211yescharacteristic, complemented
33C2×#14519763C2211yescharacteristic, complemented
34C2×#14519760C2211yescharacteristic
35C2×#14519760C2211yescharacteristic
36C2×#14519759C2211yescharacteristic, complemented
37C2×#14519756C2211yescharacteristic
38C2×#14519756C2211yescharacteristic, complemented
39C2×#14519756C2211yescharacteristic, complemented
40C2×#14519751C2211yescharacteristic
41C2×#14519751C2211yescharacteristic, complemented
42C2×#14519751C2211yescharacteristic, complemented
43C2×#14519750C2211yescharacteristic, complemented
44C2×#14519746C2211yescharacteristic
45C2×#14519746C2211yescharacteristic
46C2×#14519746C2211yescharacteristic
47C2×#14519746C2211yescharacteristic
48C2×C4×C22⋊D61C2211yescharacteristic
49C2×C4×C22⋊D61C2211yescharacteristic
50C61⋊#401C2211yescharacteristic, complemented
51#16839704C2211yescharacteristic, complemented
52#16839704C2211yescharacteristic, complemented
53#16839703C2211yescharacteristic, complemented
54#16839703C2211yescharacteristic, complemented
55#16839703C2211yescharacteristic, complemented
56#16839702C2211yescharacteristic, complemented
57#16839698C2211yescharacteristic, complemented
58#16839696C2211yescharacteristic, complemented
59#16839696C2211yescharacteristic, complemented
60#16839691C2211yescharacteristic, complemented
61#16839691C2211yescharacteristic, complemented
62#16839691C2211yescharacteristic, complemented
63#16839690C2211yescharacteristic, complemented
64#16839690C2211yescharacteristic, complemented
65#16839690C2211yescharacteristic, complemented
66#16839690C2211yescharacteristic, complemented
67#16839689C2211yescharacteristic, complemented
68#16839687C2211yescharacteristic, complemented
69#16839686C2211yescharacteristic, complemented
70#16839685C2211yescharacteristic, complemented
71#16839685C2211yescharacteristic, complemented
72#16839680C2211yescharacteristic, complemented
73#16839678C2211yescharacteristic, complemented
74#16839678C2211yescharacteristic, complemented
75#16839677C2211yescharacteristic, complemented
76#16839677C2211yescharacteristic, complemented
77#16839677C2211yescharacteristic, complemented
78#16839677C2211yescharacteristic, complemented
79#16839676C2211yescharacteristic
80#16839676C2211yescharacteristic
81#16839676C2211yescharacteristic
82#16839676C2211yescharacteristic
83#16839676C2211yescharacteristic
84#16839676C2211yescharacteristic
85#16839676C2211yescharacteristic
86#16839676C2211yescharacteristic
87#16839675C2211yescharacteristic, complemented
88#16839674C2211yescharacteristic, complemented
89#16839671C2211yescharacteristic, complemented
90#16839670C2211yescharacteristic
91#16839670C2211yescharacteristic
92#16839670C2211yescharacteristic
93#16839670C2211yescharacteristic
94#16839670C2211yescharacteristic
95#16839670C2211yescharacteristic
96#16839670C2211yescharacteristic
97#16839670C2211yescharacteristic
98#16839666C2211yescharacteristic, complemented
99#16839662C2211yescharacteristic, complemented
100#16839662C2211yescharacteristic, complemented
101#16839662C2211yescharacteristic, complemented
102#16839662C2211yescharacteristic, complemented
103#16839662C2211yescharacteristic, complemented
104#16839662C2211yescharacteristic, complemented
105#16839659C2211yescharacteristic, complemented
106#16839656C2211yescharacteristic, complemented
107#16839656C2211yescharacteristic, complemented
108#16839656C2211yescharacteristic, complemented
109#16839656C2211yescharacteristic, complemented
110#16839656C2211yescharacteristic, complemented
111#16839656C2211yescharacteristic, complemented
112#16839655C2211yescharacteristic, complemented
113#16839655C2211yescharacteristic, complemented
114#16839655C2211yescharacteristic, complemented
115#16839655C2211yescharacteristic, complemented
116#16839654C2211yescharacteristic, complemented
117#16839651C2211yescharacteristic, complemented
118#16839651C2211yescharacteristic, complemented
119#16839650C2211yescharacteristic, complemented
120#16839650C2211yescharacteristic, complemented
121#16839650C2211yescharacteristic, complemented
122#16839650C2211yescharacteristic, complemented
123#16839650C2211yescharacteristic, complemented
124#16839650C2211yescharacteristic, complemented
125#16839649C2211yescharacteristic, complemented
126#16839647C2211yescharacteristic, complemented
127#16839645C2211yescharacteristic, complemented
128#16839644C2211yescharacteristic, complemented
129#16839644C2211yescharacteristic, complemented
130#16839641C2211yescharacteristic
131#16839641C2211yescharacteristic
132#16839641C2211yescharacteristic
133#16839641C2211yescharacteristic
134#16839641C2211yescharacteristic, complemented
135#16839641C2211yescharacteristic, complemented
136#16839641C2211yescharacteristic, complemented
137#16839641C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839638C2211yescharacteristic, complemented
140#16839638C2211yescharacteristic, complemented
141#16839638C2211yescharacteristic, complemented
142#16839638C2211yescharacteristic, complemented
143#16839638C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839636C2211yescharacteristic, complemented
146#16839635C2211yescharacteristic
147#16839635C2211yescharacteristic
148#16839635C2211yescharacteristic
149#16839635C2211yescharacteristic
150#16839635C2211yescharacteristic, complemented
151#16839635C2211yescharacteristic, complemented
152#16839635C2211yescharacteristic, complemented
153#16839635C2211yescharacteristic, complemented
154#16839629C2211yescharacteristic, complemented
155#16839626C2211yescharacteristic, complemented
156#16839625C2211yescharacteristic
157#16839625C2211yescharacteristic
158#16839624C2211yescharacteristic, complemented
159#16839622C2211yescharacteristic
160#16839622C2211yescharacteristic
161#16839622C2211yescharacteristic, complemented
162#16839622C2211yescharacteristic, complemented
163#16839622C2211yescharacteristic, complemented
164#16839622C2211yescharacteristic, complemented
165#16839621C2211yescharacteristic, complemented
166#16839618C2211yescharacteristic
167#16839618C2211yescharacteristic
168#16839618C2211yescharacteristic
169#16839618C2211yescharacteristic
170C4×C22⋊Dic61C2211yescharacteristic
171C4×C22⋊Dic61C2211yescharacteristic
172C23×D4×C61C2211yescharacteristic
173C24×C4×C61C2211yescharacteristic
174C22×C22⋊C4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C22×C22⋊C4×C61C2211yescharacteristic
177C61×#386C2211yescharacteristic
178C61×#386C2211yescharacteristic
179C61×#386C2211yescharacteristic
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C61×#386C2211yescharacteristic
183C61×#386C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C2×#95×C61C2211yescharacteristic
186C2×#95×C61C2211yescharacteristic
187C22×Dic122C2311yescharacteristic
188C22×D244C2311yescharacteristic
189C22×C22⋊D61C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C4×D61C2311yescharacteristic
200C22×C4×D61C2311yescharacteristic
201#14519770—42no—
202#14519763—42no—
203#14519760—42no—
204#14519760—42no—
205#14519759—42no—
206#14519756—42no—
207#14519756—42no—
208#14519756—42no—
209#14519751—42no—
210#14519751—42no—
211#14519751—42no—
212#14519750—42no—
213#14519746—24no—
214#14519746—24no—
215#14519746—42no—
216#14519746—42no—
217C4×C22⋊D61—42no—
218C4×C22⋊D61—42no—
219C2×C4⋊Dic61C2311yescharacteristic
220C2×C4⋊Dic61C2311yescharacteristic
221C2×C4⋊Dic61C2311yescharacteristic
222C2×C4⋊Dic61C2311yescharacteristic
223C2×C4⋊Dic61C2311yescharacteristic
224C2×C4⋊Dic61C2311yescharacteristic
225C2×#11758196C2311yescharacteristic
226C2×#11758196C2311yescharacteristic
227C2×#11758196C2311yescharacteristic
228C2×#11758196C2311yescharacteristic
229C2×#11758196C2311yescharacteristic
230C2×#11758196C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×C22⋊Dic61C2311yescharacteristic
242C2×C22⋊Dic61C2311yescharacteristic
243C2×C22⋊Dic61C2311yescharacteristic
244C2×C22⋊Dic61C2311yescharacteristic
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C2×C4×Dic61C2311yescharacteristic
292C2×C4×Dic61C2311yescharacteristic
293#14519684C2311yescharacteristic
294#14519684C2311yescharacteristic
295#14519684C2311yescharacteristic
296#14519684C2311yescharacteristic
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325C25×C61C2311yescharacteristic
326C25×C61C2311yescharacteristic
327C22×D4×C61—24no—
328C22×D4×C61—42no—
329C22×D4×C61—42no—
330C22×D4×C61C2311yescharacteristic
331C22×D4×C61C2311yescharacteristic
332C22×D4×C61C2311yescharacteristic
333C22×D4×C61C2311yescharacteristic
334C23×C4×C61—42no—
335C23×C4×C61—42no—
336C23×C4×C61—42no—
337C23×C4×C61C2311yescharacteristic
338C23×C4×C61C2311yescharacteristic
339C23×C4×C61C2311yescharacteristic
340C23×C4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345C23×C4×C61C2311yescharacteristic
346C2×C22⋊C4×C61—42no—
347C2×C22⋊C4×C61—42no—
348C2×C22⋊C4×C61—42no—
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369C24×C61—22no—
370C24×C61—22no—
371C24×C61—22no—
372C24×C61—22no—
373C24×C61—22no—
374C24×C61—41no—
375C24×C61—41no—
376C24×C61—41no—
377C24×C61—41no—
378C24×C61—41no—
379C24×C61—41no—
380C24×C61—41no—
381C24×C61—41no—
382C24×C61#4114yes—
383C24×C61C2411yescharacteristic
384C24×C61C2411yescharacteristic
385C24×C61C2411yescharacteristic
386C24×C61C2411yescharacteristic
387C24×C61C2411yescharacteristic
388C23×D61C2411yescharacteristic
389C23×D61C2411yescharacteristic
390C2×D4×C61—22no—
391C2×D4×C61—22no—
392C2×D4×C61—22no—
393C2×D4×C61—22no—
394C2×D4×C61—41no—
395C2×D4×C61—41no—
396C2×D4×C61—41no—
397C2×D4×C61—41no—
398C2×D4×C61—41no—
399C2×D4×C61—41no—
400C2×D4×C61—41no—
401C2×D4×C61—41no—
402C2×D4×C61—416no—
403C22×C4×C61—22no—
404C22×C4×C61—22no—
405C22×C4×C61—22no—
406C22×C4×C61—22no—
407C22×C4×C61—22no—
408C22×C4×C61—22no—
409C22×C4×C61—22no—
410C22×C4×C61—22no—
411C22×C4×C61—22no—
412C22×C4×C61—22no—
413C22×C4×C61—22no—
414C22×C4×C61—22no—
415C22×C4×C61—22no—
416C22×C4×C61—41no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61—41no—
420C22×C4×C61—41no—
421C22×C4×C61—41no—
422C22×C4×C61—41no—
423C22×C4×C61—41no—
424C22×C4×C61—41no—
425C22×C4×C61—41no—
426C22×C4×C61—41no—
427C22×C4×C61—41no—
428C22×C4×C61—41no—
429C22×C4×C61—41no—
430C22×C4×C61—416no—
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2411yescharacteristic
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—22no—
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—
462C2×C22⋊D61—41no—
463C2×C22⋊D61—41no—
464C2×C22⋊D61—41no—
465C2×C22⋊D61—41no—
466C2×C22⋊D61—41no—
467C2×C22⋊D61—41no—
468C2×C22⋊D61—41no—
469C2×C22⋊D61—41no—
470C2×C22⋊D61—41no—
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C2×D244—22no—
486C2×D244—41no—
487C2×D244—41no—
488C2×C4×D61—41no—
489C2×C4×D61—41no—
490C2×C4×D61—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61—41no—
494C2×Dic122—22no—
495C2×Dic122—41no—
496C2×Dic122—41no—
497C22⋊C4×C61—22no—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—22no—
500C22⋊C4×C61—22no—
501C22⋊C4×C61—41no—
502C22⋊C4×C61—41no—
503C22⋊C4×C61—41no—
504C22⋊C4×C61—41no—
505C22⋊C4×C61—41no—
506C22⋊C4×C61—41no—
507C22⋊C4×C61—41no—
508C22⋊C4×C61—41no—
509C22⋊Dic61—22no—
510C22⋊Dic61—22no—
511C22⋊Dic61—22no—
512C22⋊Dic61—22no—
513C22⋊Dic61—22no—
514C22⋊Dic61—22no—
515C22⋊Dic61—22no—
516C22⋊Dic61—22no—
517C22⋊Dic61—22no—
518C22⋊Dic61—22no—
519C22⋊Dic61—41no—
520C22⋊Dic61—41no—
521C22⋊Dic61—41no—
522C22⋊Dic61—41no—
523C22⋊Dic61—41no—
524C22⋊Dic61—41no—
525C22⋊Dic61—41no—
526C22⋊Dic61—41no—
527C22⋊Dic61—41no—
528C22⋊Dic61—41no—
529C22⋊Dic61—41no—
530C22⋊Dic61—41no—
531C22⋊Dic61—41no—
532C22⋊Dic61—41no—
533C22⋊Dic61—41no—
534C22⋊Dic61—41no—
535C22⋊Dic61—41no—
536C22⋊Dic61—41no—
537C22⋊Dic61—41no—
538C22⋊Dic61—41no—
539#11758198—22no—
540#11758198—22no—
541#11758198—41no—
542#11758198—41no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550#11758198—41no—
551#11758198—41no—
552#11758198—41no—
553#11758198—41no—
554#11758198—41no—
555C4⋊Dic61—22no—
556C4⋊Dic61—22no—
557C4⋊Dic61—41no—
558C4⋊Dic61—41no—
559C4⋊Dic61—41no—
560C4⋊Dic61—41no—
561#11758196—22no—
562#11758196—22no—
563#11758196—41no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
567#11758196—41no—
568#11758196—41no—
569#11758196—41no—
570#11758196—41no—
571#11758196—41no—
572#11758196—41no—
573#11758196—41no—
574#11758196—41no—
575#11758196—41no—
576#11758196—41no—
577C4×Dic61—41no—
578C4×Dic61—41no—
579C4×Dic61—41no—
580C4×Dic61—41no—
581C4×Dic61—41no—
582C4×Dic61—41no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—28no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—44no—
615C23×C61—44no—
616C23×C61—44no—
617C23×C61—44no—
618C23×C61—44no—
619C23×C61—44no—
620C23×C61—44no—
621C23×C61—44no—
622C23×C61—44no—
623C23×C61—82no—
624C23×C61—82no—
625C23×C61—82no—
626C23×C61—82no—
627C23×C61C2×#4112yes—
628C23×C61C2×#4112yes—
629C23×C61C2×#4112yes—
630C23×C61H(5,𝔽2)12yes—
631C23×C61H(5,𝔽2)12yes—
632C23×C61C2511yescharacteristic
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647D4×C61—44no—
648D4×C61—44no—
649D4×C61—44no—
650D4×C61—44no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—44no—
680C2×C4×C61—44no—
681C2×C4×C61—44no—
682C2×C4×C61—44no—
683C2×C4×C61—44no—
684C2×C4×C61—44no—
685C2×C4×C61—44no—
686C2×C4×C61—82no—
687C2×C4×C61—82no—
688C2×C4×C61H(5,𝔽2)12yes—
689C2×C4×C61H(5,𝔽2)12yes—
690C22⋊D61—44no—
691C22⋊D61—44no—
692C22⋊D61—82no—
693C22⋊D61—82no—
694C22⋊D61—82no—
695C22⋊D61—82no—
696C22⋊D61—82no—
697C22⋊D61—82no—
698C22⋊D61—82no—
699C22⋊D61—82no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742D244—82no—
743C4×D61—82no—
744C4×D61—82no—
745Dic122—82no—
746#36758—611nomaximal, Sylow
747C22×C61—22no—
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—22no—
756C22×C61—22no—
757C22×C61—22no—
758C22×C61—22no—
759C22×C61—416no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—88no—
783C22×C61#53814yes—
784C22×C61C22×#4111yescharacteristic
785C22×C61C2×H(5,𝔽2)11yescharacteristic
786C22×C61C2×H(5,𝔽2)11yescharacteristic
787C22×C61C2×H(5,𝔽2)11yescharacteristic
788C22×C61C2×H(5,𝔽2)11yescharacteristic
789C22×C61#58511yescharacteristic
790C22×C61#58511yescharacteristic
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—41no—
805C4×C61—22no—
806C4×C61—22no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829#2848—611no—
830#2847—611no—
831#2797—611no—
832#2781—611no—
833#2779—611no—
834#2778—611no—
835#2778—611no—
836#2756—611no—
837#2753—611no—
838#2749—611no—
839#2741—611no—
840#2730—611no—
841#2714—611no—
842#2703—611no—
843#2702—611no—
844#2696—611no—
845#2688—611no—
846#2676—611no—
847#2613—611no—
848#2613—611no—
849#2493—611no—
850#2488—611no—
851#2480—611no—
852#2472—611no—
853#2425—611no—
854#2424—611no—
855#2419—611no—
856#2418—611no—
857#2321—611no—
858#2321—611no—
859C2×#386D6111yescharacteristic, complemented
860C2×C61—24no—
861C2×C61—42no—
862C2×C61—42no—
863C2×C61—81no—
864C2×C61—81no—
865C2×C61C2×#53811yescharacteristic
866C2×C61#350511yescharacteristic
867C2×C61#350511yescharacteristic
868C2×C61#353211yescharacteristic
869C2×C61#353311yescharacteristic
870C2×C61#354211yescharacteristic
871C2×C61#354211yescharacteristic
872D61—81no—
873D61—81no—
874C23×D4C2×D6111yescharacteristic
875C24×C4C2×D6111yescharacteristic
876C2×#126—611no—
877C2×#124—611no—
878C2×#123—611no—
879C2×#123—611no—
880C2×#123—611no—
881C2×C22⋊Q8—611no—
882C2×C22⋊Q8—611no—
883C2×C22⋊Q8—611no—
884C2×#121—611no—
885C2×#121—611no—
886C2×#121—611no—
887C2×#121—611no—
888C2×#120—611no—
889C2×#120—611no—
890C2×#120—611no—
891C2×#120—611no—
892C2×C4×D4—611no—
893C2×C4×D4—611no—
894C22×C22⋊C4C2×D6111yescharacteristic
895C22×C22⋊C4C2×D6111yescharacteristic
896C22×C22⋊C4C2×D6111yescharacteristic
897#401—611no—
898#400—611no—
899#400—611no—
900#400—611no—
901#400—611no—
902#400—611no—
903#400—611no—
904#399—611no—
905#398—611no—
906#398—611no—
907#397—611no—
908#397—611no—
909#397—611no—
910#397—611no—
911#397—611no—
912#397—611no—
913#397—611no—
914#397—611no—
915#397—611no—
916#396—611no—
917#396—611no—
918#396—611no—
919#394—611no—
920#394—611no—
921#394—611no—
922#394—611no—
923#394—611no—
924#394—611no—
925#394—611no—
926#394—611no—
927#394—611no—
928#394—611no—
929#394—611no—
930#394—611no—
931#394—611no—
932#394—611no—
933#394—611no—
934#393—611no—
935#393—611no—
936#392—611no—
937#392—611no—
938#392—611no—
939#392—611no—
940#392—611no—
941#392—611no—
942#392—611no—
943#392—611no—
944#392—611no—
945#391—611no—
946#390—611no—
947#390—611no—
948#390—611no—
949#390—611no—
950#390—611no—
951#390—611no—
952#389—611no—
953#388—611no—
954#388—611no—
955#388—611no—
956#388—611no—
957#388—611no—
958#388—611no—
959#388—611no—
960#388—611no—
961#388—611no—
962#388—611no—
963#388—611no—
964#388—611no—
965#388—611no—
966#388—611no—
967#388—611no—
968#388—611no—
969#388—611no—
970#388—611no—
971#388—611no—
972#387—611no—
973#387—611no—
974#387—611no—
975#387—611no—
976#387—611no—
977#386—611no—
978#386—611no—
979#386—611no—
980#386—611no—
981#386—611no—
982#386—611no—
983#386—611no—
984#386—611no—
985#386—611no—
986#386—611no—
987#386—611no—
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386C2×D6111yescharacteristic
993#386C2×D6111yescharacteristic
994#386C2×D6111yescharacteristic
995#386C2×D6111yescharacteristic
996#386C2×D6111yescharacteristic
997#386C2×D6111yescharacteristic
998#386C2×D6111yescharacteristic
999#386C2×D6111yescharacteristic
1000#385—611no—
1001#385—611no—
1002#385—611no—
1003#385—611no—
1004#385—611no—
1005#385—611no—
1006#385—611no—
1007#385—611no—
1008#385—611no—
1009#383—611no—
1010#382—611no—
1011#381—611no—
1012#381—611no—
1013#381—611no—
1014#380—611no—
1015#380—611no—
1016#380—611no—
1017#380—611no—
1018#380—611no—
1019#380—611no—
1020#380—611no—
1021#379—611no—
1022#379—611no—
1023#379—611no—
1024#379—611no—
1025C4×C22⋊C4—611no—
1026C4×C22⋊C4—611no—
1027C2×#95C2×D6111yescharacteristic
1028C2×#95C2×D6111yescharacteristic
1029C61#3675811yescharacteristic, complemented, Sylow
1030C25C22×D6111yescharacteristic
1031C25C22×D6111yescharacteristic
1032C22×Q8—611no—
1033C22×D4—24no—
1034C22×D4—42no—
1035C22×D4—42no—
1036C22×D4—611no—
1037C22×D4—611no—
1038C22×D4—611no—
1039C22×D4—611no—
1040C22×D4—611no—
1041C22×D4—611no—
1042C22×D4—611no—
1043C22×D4—611no—
1044C22×D4—611no—
1045C22×D4—611no—
1046C22×D4—611no—
1047C22×D4C22×D6111yescharacteristic
1048C22×D4C22×D6111yescharacteristic
1049C22×D4C22×D6111yescharacteristic
1050C22×D4C22×D6111yescharacteristic
1051C23×C4—42no—
1052C23×C4—42no—
1053C23×C4—42no—
1054C23×C4—611no—
1055C23×C4—611no—
1056C23×C4C22×D6111yescharacteristic
1057C23×C4C22×D6111yescharacteristic
1058C23×C4C22×D6111yescharacteristic
1059C23×C4C22×D6111yescharacteristic
1060C23×C4C22×D6111yescharacteristic
1061C23×C4C22×D6111yescharacteristic
1062C23×C4C22×D6111yescharacteristic
1063C23×C4C22×D6111yescharacteristic
1064C23×C4C22×D6111yescharacteristic
1065#126—2442no—
1066#124—2442no—
1067#123—2442no—
1068#123—2442no—
1069#123—2442no—
1070C22⋊Q8—2442no—
1071C22⋊Q8—2442no—
1072C22⋊Q8—2442no—
1073#121—2442no—
1074#121—2442no—
1075#121—2442no—
1076#121—2442no—
1077#120—1224no—
1078#120—1224no—
1079#120—2442no—
1080#120—2442no—
1081C4×D4—2442no—
1082C4×D4—2442no—
1083C2×C4⋊C4—611no—
1084C2×C4⋊C4—611no—
1085C2×C4⋊C4—611no—
1086C2×C4⋊C4—611no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—611no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—611no—
1093C2×C4⋊C4—611no—
1094C2×C4⋊C4—611no—
1095C2×C4⋊C4—611no—
1096C2×C4⋊C4—611no—
1097C2×C4⋊C4—611no—
1098C2×C4⋊C4—611no—
1099C2×C4⋊C4—611no—
1100C2×C4⋊C4—611no—
1101C2×C4⋊C4—611no—
1102C2×C4⋊C4—611no—
1103C2×C4⋊C4—611no—
1104C2×C4⋊C4—611no—
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—42no—
1107C2×C22⋊C4—42no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—611no—
1141C2×C22⋊C4—611no—
1142C2×C22⋊C4—611no—
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—611no—
1145C2×C22⋊C4—611no—
1146C2×C22⋊C4—611no—
1147C2×C22⋊C4—611no—
1148C2×C22⋊C4—611no—
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4C22×D6111yescharacteristic
1155C2×C22⋊C4C22×D6111yescharacteristic
1156C2×C22⋊C4C22×D6111yescharacteristic
1157C2×C22⋊C4C22×D6111yescharacteristic
1158C2×C22⋊C4C22×D6111yescharacteristic
1159C2×C22⋊C4C22×D6111yescharacteristic
1160C2×C22⋊C4C22×D6111yescharacteristic
1161C2×C22⋊C4C22×D6111yescharacteristic
1162C2×C22⋊C4C22×D6111yescharacteristic
1163C2×C22⋊C4C22×D6111yescharacteristic
1164C2×C22⋊C4C22×D6111yescharacteristic
1165C2×C22⋊C4C22×D6111yescharacteristic
1166C2×C42—611no—
1167C2×C42—611no—
1168C2×C42—611no—
1169C2×C42—611no—
1170C2×C42—611no—
1171C2×C42—611no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95—611no—
1201#95—611no—
1202#95—611no—
1203#95—611no—
1204#95C22×D6111yescharacteristic
1205#95C22×D6111yescharacteristic
1206#95C22×D6111yescharacteristic
1207#95C22×D6111yescharacteristic
1208#95C22×D6111yescharacteristic
1209#95C22×D6111yescharacteristic
1210#95C22×D6111yescharacteristic
1211#95C22×D6111yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—611no—
1226C24—611no—
1227C24#1175822214yes—
1228C24C23×D6111yescharacteristic
1229C24C23×D6111yescharacteristic
1230C24C23×D6111yescharacteristic
1231C24C23×D6111yescharacteristic
1232C24C23×D6111yescharacteristic
1233C2×Q8—1222no—
1234C2×Q8—2441no—
1235C2×Q8—2441no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—416no—
1249C2×D4—1222no—
1250C2×D4—1222no—
1251C2×D4—1222no—
1252C2×D4—1222no—
1253C2×D4—1222no—
1254C2×D4—1222no—
1255C2×D4—1222no—
1256C2×D4—1222no—
1257C2×D4—1222no—
1258C2×D4—1222no—
1259C2×D4—1222no—
1260C2×D4—2441no—
1261C2×D4—2441no—
1262C2×D4—2441no—
1263C2×D4—2441no—
1264C2×D4—2441no—
1265C2×D4—2441no—
1266C2×D4—2441no—
1267C2×D4—2441no—
1268C2×D4—2441no—
1269C2×D4—2441no—
1270C2×D4—2441no—
1271C2×D4—2441no—
1272C2×D4—2441no—
1273C2×D4—2441no—
1274C2×D4—2441no—
1275C2×D4—2441no—
1276C2×D4—2441no—
1277C2×D4—2441no—
1278C2×D4—2441no—
1279C2×D4—2441no—
1280C2×D4—2441no—
1281C2×D4—2441no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—416no—
1310C22×C4—611no—
1311C22×C4—611no—
1312C22×C4—611no—
1313C22×C4—611no—
1314C22×C4—611no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—2441no—
1325C22×C4—2441no—
1326C22×C4—2441no—
1327C22×C4—2441no—
1328C22×C4—2441no—
1329C22×C4—2441no—
1330C22×C4C23×D6111yescharacteristic
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C22×C4C23×D6111yescharacteristic
1337C22×C4C23×D6111yescharacteristic
1338C22×C4C23×D6111yescharacteristic
1339C22×C4C23×D6111yescharacteristic
1340C4⋊C4—1222no—
1341C4⋊C4—1222no—
1342C4⋊C4—1222no—
1343C4⋊C4—1222no—
1344C4⋊C4—2441no—
1345C4⋊C4—2441no—
1346C4⋊C4—2441no—
1347C4⋊C4—2441no—
1348C4⋊C4—2441no—
1349C4⋊C4—2441no—
1350C4⋊C4—2441no—
1351C4⋊C4—2441no—
1352C4⋊C4—2441no—
1353C4⋊C4—2441no—
1354C4⋊C4—2441no—
1355C4⋊C4—2441no—
1356C4⋊C4—2441no—
1357C4⋊C4—2441no—
1358C4⋊C4—2441no—
1359C4⋊C4—2441no—
1360C4⋊C4—2441no—
1361C4⋊C4—2441no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
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—1222no—
1384C22⋊C4—1222no—
1385C22⋊C4—1222no—
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—2441no—
1400C22⋊C4—2441no—
1401C22⋊C4—2441no—
1402C22⋊C4—2441no—
1403C22⋊C4—2441no—
1404C22⋊C4—2441no—
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—2441no—
1420C42—2441no—
1421C42—2441no—
1422C42—2441no—
1423C42—2441no—
1424C42—2441no—
1425C42—2441no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—28no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—82no—
1470C23—1221no—
1471C23—1221no—
1472C23—1221no—
1473C23—1221no—
1474C23—1221no—
1475C23—1221no—
1476C23—1221no—
1477C23—1221no—
1478C23—1221no—
1479C23—1221no—
1480C23—1221no—
1481C23—1221no—
1482C23—1221no—
1483C23—1221no—
1484C23C2×#1175822212yes—
1485C23C2×#1175822212yes—
1486C23C2×#1175822212yes—
1487C23#1451982212yes—
1488C23#1451982212yes—
1489C23C24×D6111yescharacteristic
1490Q8—4882no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—44no—
1495D4—4882no—
1496D4—4882no—
1497D4—4882no—
1498D4—4882no—
1499D4—4882no—
1500D4—4882no—
1501D4—4882no—
1502D4—4882no—
1503D4—4882no—
1504D4—2444no—
1505D4—2444no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—82no—
1542C2×C4—82no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—4882no—
1586C2×C4—4882no—
1587C2×C4#1451982212yes—
1588C2×C4#1451982212yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—88no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22—2441no—
1630C22—2441no—
1631C22—2441no—
1632C22—2441no—
1633C22—2441no—
1634C22—2441no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22#1684035014yes—
1640C22C22×#1175822211yescharacteristic
1641C22C2×#1451982211yescharacteristic
1642C22C2×#1451982211yescharacteristic
1643C22C2×#1451982211yescharacteristic
1644C22C2×#1451982211yescharacteristic
1645C22#1684059811yescharacteristic
1646C22#1684059811yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—2441no—
1658C4—2441no—
1659C4—2441no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4—2441no—
1670C4—2441no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—4881no—
1677C2—4881no—
1678C2C2×#1684035011yescharacteristic
1679C2#2145965811yescharacteristic
1680C2#2145965811yescharacteristic
1681C2#2145997411yescharacteristic
1682C2#2145999011yescharacteristic
1683C2#2146013911yescharacteristic
1684C2#2146013911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC2×C61×#386C2
hypercenterC2×#386D61
hypocenterC61#36758
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #21454106C2semidirect
2. #21454101C2semidirect
3. #21453672C2semidirect
4. #21453485C2semidirect
5. #21453456C2semidirect
6. #21453441C2semidirect
7. #21453440C2semidirect
8. #21453144C2semidirect
9. #21453099C2semidirect
10. #21453045C2semidirect
11. #21452938C2semidirect
12. #21452819C2semidirect
13. #21452618C2semidirect
14. #21452466C2semidirect
15. #21452451C2semidirect
16. #21452370C2semidirect
17. #21452256C2semidirect
18. #21452124C2semidirect
19. #21451531C2semidirect
20. #21451531C2semidirect
21. #21450204C2semidirect
22. #21450145C2semidirect
23. #21450059C2semidirect
24. #21449939C2semidirect
25. #21449370C2semidirect
26. #21449355C2semidirect
27. #21449296C2semidirect
28. #21449281C2semidirect
29. #21448477C2semidirect
30. #21448477C2semidirect
31. C2×C61×#386C2semidirect
32. C2×#14519770C22semidirect
33. C2×#14519763C22semidirect
36. C2×#14519759C22semidirect
38. C2×#14519756C22semidirect
39. C2×#14519756C22semidirect
41. C2×#14519751C22semidirect
42. C2×#14519751C22semidirect
43. C2×#14519750C22semidirect
50. C61⋊#401C22semidirect
51. #16839704C22semidirect
52. #16839704C22semidirect
53. #16839703C22semidirect
54. #16839703C22semidirect
55. #16839703C22semidirect
56. #16839702C22semidirect
57. #16839698C22semidirect
58. #16839696C22semidirect
59. #16839696C22semidirect
60. #16839691C22semidirect
61. #16839691C22semidirect
62. #16839691C22semidirect
63. #16839690C22semidirect
64. #16839690C22semidirect
65. #16839690C22semidirect
66. #16839690C22semidirect
67. #16839689C22semidirect
68. #16839687C22semidirect
69. #16839686C22semidirect
70. #16839685C22semidirect
71. #16839685C22semidirect
72. #16839680C22semidirect
73. #16839678C22semidirect
74. #16839678C22semidirect
75. #16839677C22semidirect
76. #16839677C22semidirect
77. #16839677C22semidirect
78. #16839677C22semidirect
87. #16839675C22semidirect
88. #16839674C22semidirect
89. #16839671C22semidirect
98. #16839666C22semidirect
99. #16839662C22semidirect
100. #16839662C22semidirect
101. #16839662C22semidirect
102. #16839662C22semidirect
103. #16839662C22semidirect
104. #16839662C22semidirect
105. #16839659C22semidirect
106. #16839656C22semidirect
107. #16839656C22semidirect
108. #16839656C22semidirect
109. #16839656C22semidirect
110. #16839656C22semidirect
111. #16839656C22semidirect
112. #16839655C22semidirect
113. #16839655C22semidirect
114. #16839655C22semidirect
115. #16839655C22semidirect
116. #16839654C22semidirect
117. #16839651C22semidirect
118. #16839651C22semidirect
119. #16839650C22semidirect
120. #16839650C22semidirect
121. #16839650C22semidirect
122. #16839650C22semidirect
123. #16839650C22semidirect
124. #16839650C22semidirect
125. #16839649C22semidirect
126. #16839647C22semidirect
127. #16839645C22semidirect
128. #16839644C22semidirect
129. #16839644C22semidirect
134. #16839641C22semidirect
135. #16839641C22semidirect
136. #16839641C22semidirect
137. #16839641C22semidirect
138. #16839640C22semidirect
139. #16839638C22semidirect
140. #16839638C22semidirect
141. #16839638C22semidirect
142. #16839638C22semidirect
143. #16839638C22semidirect
144. #16839638C22semidirect
145. #16839636C22semidirect
150. #16839635C22semidirect
151. #16839635C22semidirect
152. #16839635C22semidirect
153. #16839635C22semidirect
154. #16839629C22semidirect
155. #16839626C22semidirect
158. #16839624C22semidirect
161. #16839622C22semidirect
162. #16839622C22semidirect
163. #16839622C22semidirect
164. #16839622C22semidirect
165. #16839621C22semidirect
859. C2×#386D61semidirect
1029. C61#36758semidirect

Maximal subgroups

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

subgroupindex
#214541062
#214541012
#214536722
#214534852
#214534562
#214534412
#214534402
#214531442
#214530992
#214530452
#214529382
#214528192
#214526182
#214524662
#214524512
#214523702
#214522562
#214521242
#214515312
#214502042
#214501452
#214500592
#214499392
#214493702
#214493552
#214492962
#214492812
#214484772
C2×C61×#3862
#3675861