Finite Group Databasebeta

← #29888885

Subgroups — #29888885

Order 15616.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454113C211yesmaximal, characteristic, complemented
2#21454104C211yesmaximal, characteristic, complemented
3#21453655C211yesmaximal, characteristic, complemented
4#21453208C211yesmaximal, characteristic, complemented
5#21453158C211yesmaximal, characteristic, complemented
6#21453066C211yesmaximal, characteristic, complemented
7#21452876C211yesmaximal, characteristic, complemented
8#21452811C211yesmaximal, characteristic, complemented
9#21452744C211yesmaximal, characteristic, complemented
10#21452624C211yesmaximal, characteristic, complemented
11#21452585C211yesmaximal, characteristic, complemented
12#21452555C211yesmaximal, characteristic, complemented
13#21452487C211yesmaximal, characteristic, complemented
14#21452439C211yesmaximal, characteristic, complemented
15#21452411C211yesmaximal, characteristic, complemented
16#21452299C211yesmaximal, characteristic, complemented
17#21452224C211yesmaximal, characteristic, complemented
18#21452076C211yesmaximal, characteristic, complemented
19#21451628C211yesmaximal, characteristic, complemented
20#21451595C211yesmaximal, characteristic, complemented
21#21451001C211yesmaximal, characteristic, complemented
22#21450825C211yesmaximal, characteristic, complemented
23#21450062C211yesmaximal, characteristic, complemented
24#21450062C211yesmaximal, characteristic, complemented
25#21449942C211yesmaximal, characteristic, complemented
26#21449942C211yesmaximal, characteristic, complemented
27#21449169C211yesmaximal, characteristic
28#21448554C211yesmaximal, characteristic, complemented
29#21448446C211yesmaximal, characteristic, complemented
30C2×#16839642C211yesmaximal, characteristic, complemented
31C61×#2435C211yesmaximal, characteristic, complemented
32C24×Dic61C2211yescharacteristic
33C2×#14519770C2211yescharacteristic, complemented
34C2×#14519770C2211yescharacteristic, complemented
35C2×#14519763C2211yescharacteristic, complemented
36C2×#14519763C2211yescharacteristic, complemented
37C2×#14519761C2211yescharacteristic, complemented
38C2×#14519761C2211yescharacteristic, complemented
39C2×#14519754C2211yescharacteristic
40C2×#14519754C2211yescharacteristic
41C2×#14519754C2211yescharacteristic, complemented
42C2×#14519754C2211yescharacteristic, complemented
43C2×#14519748C2211yescharacteristic
44C2×#14519748C2211yescharacteristic
45C2×#14519746C2211yescharacteristic
46C2×#14519746C2211yescharacteristic
47C2×C4×C22⋊D61C2211yescharacteristic
48C22×C22⋊Dic61C2211yescharacteristic
49C22×C22⋊Dic61C2211yescharacteristic
50C22×C22⋊Dic61C2211yescharacteristic
51#16839700C2211yescharacteristic, complemented
52#16839698C2211yescharacteristic, complemented
53#16839698C2211yescharacteristic, complemented
54#16839697C2211yescharacteristic, complemented
55#16839694C2211yescharacteristic, complemented
56#16839694C2211yescharacteristic, complemented
57#16839690C2211yescharacteristic, complemented
58#16839690C2211yescharacteristic, complemented
59#16839690C2211yescharacteristic, complemented
60#16839690C2211yescharacteristic, complemented
61#16839690C2211yescharacteristic, complemented
62#16839690C2211yescharacteristic, complemented
63#16839687C2211yescharacteristic, complemented
64#16839687C2211yescharacteristic, complemented
65#16839687C2211yescharacteristic, complemented
66#16839687C2211yescharacteristic, complemented
67#16839687C2211yescharacteristic, complemented
68#16839687C2211yescharacteristic, complemented
69#16839685C2211yescharacteristic, complemented
70#16839685C2211yescharacteristic, complemented
71#16839685C2211yescharacteristic, complemented
72#16839685C2211yescharacteristic, complemented
73#16839685C2211yescharacteristic, complemented
74#16839685C2211yescharacteristic, complemented
75#16839683C2211yescharacteristic, complemented
76#16839683C2211yescharacteristic, complemented
77#16839681C2211yescharacteristic, complemented
78#16839678C2211yescharacteristic, complemented
79#16839678C2211yescharacteristic, complemented
80#16839678C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic, complemented
82#16839678C2211yescharacteristic, complemented
83#16839678C2211yescharacteristic, complemented
84#16839677C2211yescharacteristic, complemented
85#16839677C2211yescharacteristic, complemented
86#16839676C2211yescharacteristic
87#16839676C2211yescharacteristic
88#16839674C2211yescharacteristic, complemented
89#16839674C2211yescharacteristic, complemented
90#16839674C2211yescharacteristic, complemented
91#16839674C2211yescharacteristic, complemented
92#16839673C2211yescharacteristic, complemented
93#16839670C2211yescharacteristic
94#16839670C2211yescharacteristic
95#16839669C2211yescharacteristic, complemented
96#16839669C2211yescharacteristic, complemented
97#16839668C2211yescharacteristic, complemented
98#16839668C2211yescharacteristic, complemented
99#16839665C2211yescharacteristic
100#16839665C2211yescharacteristic
101#16839662C2211yescharacteristic, complemented
102#16839662C2211yescharacteristic, complemented
103#16839661C2211yescharacteristic, complemented
104#16839661C2211yescharacteristic, complemented
105#16839660C2211yescharacteristic, complemented
106#16839660C2211yescharacteristic, complemented
107#16839656C2211yescharacteristic, complemented
108#16839656C2211yescharacteristic, complemented
109#16839655C2211yescharacteristic, complemented
110#16839655C2211yescharacteristic, complemented
111#16839655C2211yescharacteristic, complemented
112#16839655C2211yescharacteristic, complemented
113#16839653C2211yescharacteristic, complemented
114#16839653C2211yescharacteristic, complemented
115#16839650C2211yescharacteristic, complemented
116#16839650C2211yescharacteristic, complemented
117#16839650C2211yescharacteristic, complemented
118#16839650C2211yescharacteristic, complemented
119#16839648C2211yescharacteristic, complemented
120#16839648C2211yescharacteristic, complemented
121#16839648C2211yescharacteristic, complemented
122#16839648C2211yescharacteristic, complemented
123#16839646C2211yescharacteristic, complemented
124#16839646C2211yescharacteristic, complemented
125#16839643C2211yescharacteristic, complemented
126#16839643C2211yescharacteristic, complemented
127#16839642C2211yescharacteristic
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic
130#16839642C2211yescharacteristic
131#16839642C2211yescharacteristic
132#16839642C2211yescharacteristic
133#16839642C2211yescharacteristic
134#16839642C2211yescharacteristic
135#16839639C2211yescharacteristic
136#16839639C2211yescharacteristic
137#16839639C2211yescharacteristic
138#16839639C2211yescharacteristic
139#16839639C2211yescharacteristic, complemented
140#16839639C2211yescharacteristic, complemented
141#16839637C2211yescharacteristic
142#16839637C2211yescharacteristic
143#16839637C2211yescharacteristic
144#16839637C2211yescharacteristic
145#16839637C2211yescharacteristic, complemented
146#16839637C2211yescharacteristic, complemented
147#16839637C2211yescharacteristic, complemented
148#16839637C2211yescharacteristic, complemented
149#16839634C2211yescharacteristic
150#16839634C2211yescharacteristic
151#16839634C2211yescharacteristic, complemented
152#16839634C2211yescharacteristic, complemented
153#16839633C2211yescharacteristic, complemented
154#16839633C2211yescharacteristic, complemented
155#16839629C2211yescharacteristic, complemented
156#16839626C2211yescharacteristic, complemented
157#16839624C2211yescharacteristic, complemented
158#16839623C2211yescharacteristic, complemented
159#16839623C2211yescharacteristic, complemented
160#16839622C2211yescharacteristic
161#16839621C2211yescharacteristic, complemented
162#16839620C2211yescharacteristic
163#16839620C2211yescharacteristic
164#16839620C2211yescharacteristic, complemented
165#16839620C2211yescharacteristic, complemented
166#16839618C2211yescharacteristic
167#16839618C2211yescharacteristic
168C22⋊C4×Dic61C2211yescharacteristic
169C22⋊C4×Dic61C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C23×D4×C61C2211yescharacteristic
173C2×#124×C61C2211yescharacteristic
174C2×#124×C61C2211yescharacteristic
175C2×C22⋊Q8×C61C2211yescharacteristic
176C61×#394C2211yescharacteristic
177C61×#394C2211yescharacteristic
178C61×#394C2211yescharacteristic
179C61×#394C2211yescharacteristic
180C61×#390C2211yescharacteristic
181C61×#390C2211yescharacteristic
182C61×#379C2211yescharacteristic
183C61×#379C2211yescharacteristic
184C61×#379C2211yescharacteristic
185C61×#379C2211yescharacteristic
186C4×C22⋊C4×C61C2211yescharacteristic
187C22×Dic122C2311yescharacteristic
188C22×Dic122C2311yescharacteristic
189C22×C22⋊D61C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C23×Dic61—42no—
195C23×Dic61—42no—
196C23×Dic61—42no—
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206#14519770—42no—
207#14519770—42no—
208#14519763—42no—
209#14519763—42no—
210#14519761—42no—
211#14519761—42no—
212#14519754—42no—
213#14519754—42no—
214#14519754—42no—
215#14519754—42no—
216#14519748—42no—
217#14519748—42no—
218#14519746—42no—
219#14519746—42no—
220C4×C22⋊D61—24no—
221C2×C4⋊Dic61C2311yescharacteristic
222C2×C4⋊Dic61C2311yescharacteristic
223C2×C4⋊Dic61C2311yescharacteristic
224C2×C4⋊Dic61C2311yescharacteristic
225C2×C4⋊Dic61C2311yescharacteristic
226C2×C4⋊Dic61C2311yescharacteristic
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×C22⋊Dic61—42no—
247C2×C22⋊Dic61—42no—
248C2×C22⋊Dic61—42no—
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×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×C4×Dic61C2311yescharacteristic
286C2×C4×Dic61C2311yescharacteristic
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290#14519684C2311yescharacteristic
291#14519684C2311yescharacteristic
292#14519684C2311yescharacteristic
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
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328C25×C61C2311yescharacteristic
329C25×C61C2311yescharacteristic
330C22×Q8×C61C2311yescharacteristic
331C22×D4×C61—24no—
332C22×D4×C61—42no—
333C22×D4×C61—42no—
334C22×D4×C61C2311yescharacteristic
335C22×D4×C61C2311yescharacteristic
336C22×D4×C61C2311yescharacteristic
337C22×D4×C61C2311yescharacteristic
338C23×C4×C61C2311yescharacteristic
339#124×C61—42no—
340#124×C61—42no—
341C22⋊Q8×C61—24no—
342C2×C4⋊C4×C61C2311yescharacteristic
343C2×C4⋊C4×C61C2311yescharacteristic
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61C2311yescharacteristic
346C2×C22⋊C4×C61C2311yescharacteristic
347C2×C22⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61C2311yescharacteristic
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
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C42×C61C2311yescharacteristic
366C2×C42×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369C24×C61—22no—
370C24×C61—22no—
371C24×C61—22no—
372C24×C61—22no—
373C24×C61—22no—
374C24×C61—22no—
375C24×C61—22no—
376C24×C61—22no—
377C24×C61—41no—
378C24×C61—41no—
379C24×C61—41no—
380C24×C61—41no—
381C24×C61—41no—
382C24×C61—41no—
383C24×C61C2411yescharacteristic
384C24×C61C2411yescharacteristic
385C24×C61C2411yescharacteristic
386C24×C61C2411yescharacteristic
387C24×C61C2411yescharacteristic
388C23×D61C2411yescharacteristic
389C2×Q8×C61—22no—
390C2×Q8×C61—41no—
391C2×Q8×C61—41no—
392C2×D4×C61—22no—
393C2×D4×C61—22no—
394C2×D4×C61—22no—
395C2×D4×C61—22no—
396C2×D4×C61—22no—
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—41no—
401C2×D4×C61—41no—
402C2×D4×C61—41no—
403C2×D4×C61—41no—
404C2×D4×C61—416no—
405C22×C4×C61—41no—
406C22×C4×C61—41no—
407C22×C4×C61#4114yes—
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C2×C22⋊D61—22no—
419C2×C22⋊D61—22no—
420C2×C22⋊D61—22no—
421C2×C22⋊D61—22no—
422C2×C22⋊D61—22no—
423C2×C22⋊D61—41no—
424C2×C22⋊D61—41no—
425C2×C22⋊D61—41no—
426C2×C22⋊D61—41no—
427C2×C22⋊D61—41no—
428C2×C22⋊D61—41no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—41no—
432C2×C22⋊D61—41no—
433C22×Dic61—22no—
434C22×Dic61—22no—
435C22×Dic61—22no—
436C22×Dic61—22no—
437C22×Dic61—22no—
438C22×Dic61—22no—
439C22×Dic61—22no—
440C22×Dic61—22no—
441C22×Dic61—22no—
442C22×Dic61—41no—
443C22×Dic61—41no—
444C22×Dic61—41no—
445C22×Dic61—41no—
446C22×Dic61—41no—
447C22×Dic61—41no—
448C22×Dic61—41no—
449C22×Dic61—41no—
450C22×Dic61—41no—
451C22×Dic61—41no—
452C22×Dic61—41no—
453C22×Dic61—41no—
454C22×Dic61—41no—
455C22×Dic61—41no—
456C22×Dic61—41no—
457C22×Dic61—416no—
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C2×C4×D61—22no—
474C2×C4×D61—41no—
475C2×C4×D61—41no—
476C2×Dic122—22no—
477C2×Dic122—41no—
478C2×Dic122—41no—
479C2×Dic122—41no—
480C2×Dic122—41no—
481C2×Dic122—41no—
482C4⋊C4×C61—22no—
483C4⋊C4×C61—22no—
484C4⋊C4×C61—22no—
485C22⋊C4×C61—22no—
486C22⋊C4×C61—22no—
487C22⋊C4×C61—22no—
488C22⋊C4×C61—22no—
489C22⋊C4×C61—22no—
490C22⋊C4×C61—22no—
491C22⋊C4×C61—22no—
492C22⋊C4×C61—22no—
493C22⋊C4×C61—41no—
494C22⋊C4×C61—41no—
495C22⋊C4×C61—41no—
496C22⋊C4×C61—41no—
497C22⋊C4×C61—41no—
498C22⋊C4×C61—41no—
499C22⋊C4×C61—41no—
500C22⋊C4×C61—41no—
501C22⋊C4×C61—41no—
502C22⋊C4×C61—41no—
503C22⋊C4×C61—41no—
504C22⋊C4×C61—41no—
505C42×C61—41no—
506C42×C61—41no—
507C22⋊Dic61—22no—
508C22⋊Dic61—22no—
509C22⋊Dic61—22no—
510C22⋊Dic61—22no—
511C22⋊Dic61—22no—
512C22⋊Dic61—22no—
513C22⋊Dic61—22no—
514C22⋊Dic61—22no—
515C22⋊Dic61—22no—
516C22⋊Dic61—41no—
517C22⋊Dic61—41no—
518C22⋊Dic61—41no—
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—
534#11758198—22no—
535#11758198—22no—
536#11758198—41no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198—41no—
543C4⋊Dic61—22no—
544C4⋊Dic61—41no—
545C4⋊Dic61—41no—
546C4⋊Dic61—41no—
547C4⋊Dic61—41no—
548C4⋊Dic61—41no—
549C4⋊Dic61—41no—
550C4⋊Dic61—41no—
551C4⋊Dic61—41no—
552C4⋊Dic61—41no—
553C4⋊Dic61—41no—
554C4⋊Dic61—41no—
555#11758196—22no—
556#11758196—22no—
557#11758196—41no—
558#11758196—41no—
559#11758196—41no—
560#11758196—41no—
561#11758196—41no—
562#11758196—41no—
563#11758196—41no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
567#11758196—41no—
568C4×Dic61—22no—
569C4×Dic61—41no—
570C4×Dic61—41no—
571C4×Dic61—41no—
572C4×Dic61—41no—
573C23×C61—21no—
574C23×C61—21no—
575C23×C61—21no—
576C23×C61—21no—
577C23×C61—28no—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
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—44no—
605C23×C61—44no—
606C23×C61—44no—
607C23×C61—44no—
608C23×C61—44no—
609C23×C61—44no—
610C23×C61—44no—
611C23×C61—44no—
612C23×C61—44no—
613C23×C61—82no—
614C23×C61—82no—
615C23×C61—82no—
616C23×C61—82no—
617C23×C61C2×#4112yes—
618C23×C61H(5,𝔽2)12yes—
619C23×C61H(5,𝔽2)12yes—
620C23×C61H(5,𝔽2)12yes—
621C23×C612−1+412yes—
622C23×C61C2511yescharacteristic
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
630Q8×C61—82no—
631D4×C61—44no—
632D4×C61—44no—
633D4×C61—44no—
634D4×C61—44no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
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—44no—
664C2×C4×C61C2×#4112yes—
665C2×C4×C61C2×#4112yes—
666C22⋊D61—44no—
667C22⋊D61—82no—
668C22⋊D61—82no—
669C22⋊D61—82no—
670C22⋊D61—82no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
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—44no—
716C2×Dic61—44no—
717C2×Dic61—44no—
718C2×Dic61—44no—
719C2×Dic61—44no—
720C2×Dic61—44no—
721C2×Dic61—82no—
722C2×Dic61—82no—
723C2×Dic61H(5,𝔽2)12yes—
724C4×D61—82no—
725Dic122—82no—
726Dic122—82no—
727#36793—611nomaximal, Sylow
728C22×C61—22no—
729C22×C61—22no—
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—22no—
734C22×C61—22no—
735C22×C61—22no—
736C22×C61—22no—
737C22×C61—22no—
738C22×C61—22no—
739C22×C61—22no—
740C22×C61—416no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61—41no—
745C22×C61—41no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61—41no—
751C22×C61—41no—
752C22×C61—41no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61—41no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—88no—
764C22×C61#54214yes—
765C22×C61C22×#4111yescharacteristic
766C22×C61C2×H(5,𝔽2)11yescharacteristic
767C22×C61C2×H(5,𝔽2)11yescharacteristic
768C22×C61C2×H(5,𝔽2)11yescharacteristic
769C22×C61C2×H(5,𝔽2)11yescharacteristic
770C22×C61C2×2−1+411yescharacteristic
771C22×C61#58511yescharacteristic
772C2×D61—41no—
773C2×D61—41no—
774C2×D61—41no—
775C2×D61—41no—
776C2×D61—41no—
777C2×D61—41no—
778C2×D61—41no—
779C4×C61—22no—
780C4×C61—22no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789Dic61—22no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801Dic61—41no—
802Dic61—41no—
803Dic61—41no—
804#2849—611no—
805#2848—611no—
806#2796—611no—
807#2761—611no—
808#2757—611no—
809#2751—611no—
810#2737—611no—
811#2730—611no—
812#2723—611no—
813#2715—611no—
814#2712—611no—
815#2710—611no—
816#2705—611no—
817#2701—611no—
818#2700—611no—
819#2691—611no—
820#2686—611no—
821#2672—611no—
822#2626—611no—
823#2622—611no—
824#2564—611no—
825#2549—611no—
826#2480—611no—
827#2480—611no—
828#2472—611no—
829#2472—611no—
830#2435D6111yescharacteristic, complemented
831#2408—611no—
832#2329—611no—
833#2318—611no—
834C2×#386—611no—
835C2×C61—24no—
836C2×C61—42no—
837C2×C61—42no—
838C2×C61—81no—
839C2×C61—81no—
840C2×C61C2×#54211yescharacteristic
841C2×C61#349011yescharacteristic
842C2×C61#350611yescharacteristic
843C2×C61#353211yescharacteristic
844C2×C61#353411yescharacteristic
845C2×C61#353511yescharacteristic
846C2×C61#353611yescharacteristic
847D61—81no—
848C23×D4C2×D6111yescharacteristic
849C24×C4—611no—
850C2×#126—611no—
851C2×#126—611no—
852C2×#124—611no—
853C2×#124—611no—
854C2×#124C2×D6111yescharacteristic
855C2×#124C2×D6111yescharacteristic
856C2×#123—611no—
857C2×#123—611no—
858C2×C22⋊Q8—611no—
859C2×C22⋊Q8—611no—
860C2×C22⋊Q8—611no—
861C2×C22⋊Q8—611no—
862C2×C22⋊Q8C2×D6111yescharacteristic
863C2×#121—611no—
864C2×#121—611no—
865C2×#120—611no—
866C2×#120—611no—
867C2×C4×D4—611no—
868C22×C22⋊C4—611no—
869C22×C22⋊C4—611no—
870C22×C22⋊C4—611no—
871#400—611no—
872#399—611no—
873#399—611no—
874#399—611no—
875#398—611no—
876#398—611no—
877#397—611no—
878#397—611no—
879#397—611no—
880#397—611no—
881#397—611no—
882#397—611no—
883#397—611no—
884#397—611no—
885#397—611no—
886#397—611no—
887#397—611no—
888#397—611no—
889#396—611no—
890#396—611no—
891#396—611no—
892#396—611no—
893#396—611no—
894#396—611no—
895#395—611no—
896#395—611no—
897#395—611no—
898#394—611no—
899#394—611no—
900#394—611no—
901#394—611no—
902#394—611no—
903#394—611no—
904#394—611no—
905#394—611no—
906#394—611no—
907#394—611no—
908#394C2×D6111yescharacteristic
909#394C2×D6111yescharacteristic
910#394C2×D6111yescharacteristic
911#394C2×D6111yescharacteristic
912#393—611no—
913#393—611no—
914#393—611no—
915#393—611no—
916#393—611no—
917#392—611no—
918#392—611no—
919#391—611no—
920#391—611no—
921#391—611no—
922#391—611no—
923#390—611no—
924#390—611no—
925#390—611no—
926#390—611no—
927#390C2×D6111yescharacteristic
928#390C2×D6111yescharacteristic
929#389—611no—
930#389—611no—
931#389—611no—
932#389—611no—
933#388—611no—
934#388—611no—
935#388—611no—
936#388—611no—
937#388—611no—
938#388—611no—
939#388—611no—
940#388—611no—
941#388—611no—
942#388—611no—
943#388—611no—
944#388—611no—
945#387—611no—
946#387—611no—
947#387—611no—
948#387—611no—
949#387—611no—
950#387—611no—
951#387—611no—
952#387—611no—
953#386—611no—
954#386—611no—
955#386—611no—
956#386—611no—
957#386—611no—
958#386—611no—
959#386—611no—
960#386—611no—
961#386—611no—
962#386—611no—
963#386—611no—
964#386—611no—
965#386—611no—
966#386—611no—
967#385—611no—
968#385—611no—
969#385—611no—
970#385—611no—
971#385—611no—
972#385—611no—
973#385—611no—
974#385—611no—
975#385—611no—
976#385—611no—
977#385—611no—
978#385—611no—
979#385—611no—
980#385—611no—
981#383—611no—
982#382—611no—
983#381—611no—
984#381—611no—
985#381—611no—
986#380—611no—
987#380—611no—
988#380—611no—
989#380—611no—
990#380—611no—
991#380—611no—
992#379—611no—
993#379—611no—
994#379C2×D6111yescharacteristic
995#379C2×D6111yescharacteristic
996#379C2×D6111yescharacteristic
997#379C2×D6111yescharacteristic
998C4×C22⋊C4—611no—
999C4×C22⋊C4—611no—
1000C4×C22⋊C4C2×D6111yescharacteristic
1001C2×#95—611no—
1002C2×#95—611no—
1003C61#3679311yescharacteristic, complemented, Sylow
1004C25C22×D6111yescharacteristic
1005C25C22×D6111yescharacteristic
1006C22×Q8—611no—
1007C22×Q8—611no—
1008C22×Q8C22×D6111yescharacteristic
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4—611no—
1013C22×D4—611no—
1014C22×D4—611no—
1015C22×D4—611no—
1016C22×D4—611no—
1017C22×D4C22×D6111yescharacteristic
1018C22×D4C22×D6111yescharacteristic
1019C22×D4C22×D6111yescharacteristic
1020C22×D4C22×D6111yescharacteristic
1021C23×C4—611no—
1022C23×C4—611no—
1023C23×C4—611no—
1024C23×C4—611no—
1025C23×C4—611no—
1026C23×C4—611no—
1027C23×C4—611no—
1028C23×C4—611no—
1029C23×C4—611no—
1030C23×C4—2442no—
1031C23×C4—2442no—
1032C23×C4—2442no—
1033C23×C4C22×D6111yescharacteristic
1034#126—2442no—
1035#126—2442no—
1036#124—42no—
1037#124—42no—
1038#124—2442no—
1039#124—2442no—
1040#123—2442no—
1041#123—2442no—
1042C22⋊Q8—24no—
1043C22⋊Q8—2442no—
1044C22⋊Q8—2442no—
1045C22⋊Q8—2442no—
1046C22⋊Q8—2442no—
1047#121—2442no—
1048#121—2442no—
1049#120—2442no—
1050#120—2442no—
1051C4×D4—1224no—
1052C2×C4⋊C4—611no—
1053C2×C4⋊C4—611no—
1054C2×C4⋊C4—611no—
1055C2×C4⋊C4—611no—
1056C2×C4⋊C4—611no—
1057C2×C4⋊C4—611no—
1058C2×C4⋊C4—611no—
1059C2×C4⋊C4—611no—
1060C2×C4⋊C4—611no—
1061C2×C4⋊C4—611no—
1062C2×C4⋊C4—611no—
1063C2×C4⋊C4—611no—
1064C2×C4⋊C4—611no—
1065C2×C4⋊C4—611no—
1066C2×C4⋊C4—611no—
1067C2×C4⋊C4—611no—
1068C2×C4⋊C4—611no—
1069C2×C4⋊C4—611no—
1070C2×C4⋊C4—611no—
1071C2×C4⋊C4—611no—
1072C2×C4⋊C4—611no—
1073C2×C4⋊C4—611no—
1074C2×C4⋊C4—611no—
1075C2×C4⋊C4—611no—
1076C2×C4⋊C4—611no—
1077C2×C4⋊C4C22×D6111yescharacteristic
1078C2×C4⋊C4C22×D6111yescharacteristic
1079C2×C4⋊C4C22×D6111yescharacteristic
1080C2×C22⋊C4—611no—
1081C2×C22⋊C4—611no—
1082C2×C22⋊C4—611no—
1083C2×C22⋊C4—611no—
1084C2×C22⋊C4—611no—
1085C2×C22⋊C4—611no—
1086C2×C22⋊C4—611no—
1087C2×C22⋊C4—611no—
1088C2×C22⋊C4—611no—
1089C2×C22⋊C4—611no—
1090C2×C22⋊C4—611no—
1091C2×C22⋊C4—611no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—611no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
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—2442no—
1117C2×C22⋊C4—2442no—
1118C2×C22⋊C4—2442no—
1119C2×C22⋊C4C22×D6111yescharacteristic
1120C2×C22⋊C4C22×D6111yescharacteristic
1121C2×C22⋊C4C22×D6111yescharacteristic
1122C2×C22⋊C4C22×D6111yescharacteristic
1123C2×C22⋊C4C22×D6111yescharacteristic
1124C2×C22⋊C4C22×D6111yescharacteristic
1125C2×C22⋊C4C22×D6111yescharacteristic
1126C2×C22⋊C4C22×D6111yescharacteristic
1127C2×C22⋊C4C22×D6111yescharacteristic
1128C2×C22⋊C4C22×D6111yescharacteristic
1129C2×C22⋊C4C22×D6111yescharacteristic
1130C2×C22⋊C4C22×D6111yescharacteristic
1131C2×C22⋊C4C22×D6111yescharacteristic
1132C2×C22⋊C4C22×D6111yescharacteristic
1133C2×C22⋊C4C22×D6111yescharacteristic
1134C2×C22⋊C4C22×D6111yescharacteristic
1135C2×C22⋊C4C22×D6111yescharacteristic
1136C2×C22⋊C4C22×D6111yescharacteristic
1137C2×C22⋊C4C22×D6111yescharacteristic
1138C2×C22⋊C4C22×D6111yescharacteristic
1139C2×C42—611no—
1140C2×C42—611no—
1141C2×C42—611no—
1142C2×C42—611no—
1143C2×C42—611no—
1144C2×C42C22×D6111yescharacteristic
1145C2×C42C22×D6111yescharacteristic
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95—611no—
1150#95—611no—
1151#95—611no—
1152#95—611no—
1153#95—611no—
1154#95—611no—
1155#95—611no—
1156#95—611no—
1157#95—611no—
1158#95—611no—
1159#95—611no—
1160#95—611no—
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95—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#95C22×D6111yescharacteristic
1185#95C22×D6111yescharacteristic
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—611no—
1201C24C23×D6111yescharacteristic
1202C24C23×D6111yescharacteristic
1203C24C23×D6111yescharacteristic
1204C24C23×D6111yescharacteristic
1205C24C23×D6111yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—1222no—
1210C2×Q8—2441no—
1211C2×Q8—2441no—
1212C2×Q8—2441no—
1213C2×Q8—2441no—
1214C2×Q8—2441no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—416no—
1228C2×D4—1222no—
1229C2×D4—1222no—
1230C2×D4—1222no—
1231C2×D4—1222no—
1232C2×D4—1222no—
1233C2×D4—2441no—
1234C2×D4—2441no—
1235C2×D4—2441no—
1236C2×D4—2441no—
1237C2×D4—2441no—
1238C2×D4—2441no—
1239C2×D4—2441no—
1240C2×D4—2441no—
1241C2×D4—2441no—
1242C2×D4—2441no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—611no—
1246C22×C4—611no—
1247C22×C4—611no—
1248C22×C4—611no—
1249C22×C4—611no—
1250C22×C4—611no—
1251C22×C4—611no—
1252C22×C4—611no—
1253C22×C4—611no—
1254C22×C4—611no—
1255C22×C4—611no—
1256C22×C4—611no—
1257C22×C4—611no—
1258C22×C4—611no—
1259C22×C4—611no—
1260C22×C4—1222no—
1261C22×C4—1222no—
1262C22×C4—1222no—
1263C22×C4—1222no—
1264C22×C4—1222no—
1265C22×C4—1222no—
1266C22×C4—1222no—
1267C22×C4—1222no—
1268C22×C4—1222no—
1269C22×C4—1222no—
1270C22×C4—2441no—
1271C22×C4—2441no—
1272C22×C4—2441no—
1273C22×C4—2441no—
1274C22×C4—2441no—
1275C22×C4—2441no—
1276C22×C4—2441no—
1277C22×C4—2441no—
1278C22×C4—2441no—
1279C22×C4—2441no—
1280C22×C4—2441no—
1281C22×C4—2441no—
1282C22×C4—2441no—
1283C22×C4—2441no—
1284C22×C4—2441no—
1285C22×C4—2441no—
1286C22×C4—2441no—
1287C22×C4—24416no—
1288C22×C4#1175822414yes—
1289C22×C4C23×D6111yescharacteristic
1290C22×C4C23×D6111yescharacteristic
1291C22×C4C23×D6111yescharacteristic
1292C22×C4C23×D6111yescharacteristic
1293C22×C4C23×D6111yescharacteristic
1294C22×C4C23×D6111yescharacteristic
1295C22×C4C23×D6111yescharacteristic
1296C22×C4C23×D6111yescharacteristic
1297C22×C4C23×D6111yescharacteristic
1298C22×C4C23×D6111yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—1222no—
1303C4⋊C4—1222no—
1304C4⋊C4—1222no—
1305C4⋊C4—2441no—
1306C4⋊C4—2441no—
1307C4⋊C4—2441no—
1308C4⋊C4—2441no—
1309C4⋊C4—2441no—
1310C4⋊C4—2441no—
1311C4⋊C4—2441no—
1312C4⋊C4—2441no—
1313C4⋊C4—2441no—
1314C4⋊C4—2441no—
1315C4⋊C4—2441no—
1316C4⋊C4—2441no—
1317C4⋊C4—2441no—
1318C4⋊C4—2441no—
1319C4⋊C4—2441no—
1320C4⋊C4—2441no—
1321C4⋊C4—2441no—
1322C4⋊C4—2441no—
1323C4⋊C4—2441no—
1324C4⋊C4—2441no—
1325C4⋊C4—2441no—
1326C4⋊C4—2441no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—1222no—
1348C22⋊C4—1222no—
1349C22⋊C4—1222no—
1350C22⋊C4—1222no—
1351C22⋊C4—1222no—
1352C22⋊C4—1222no—
1353C22⋊C4—1222no—
1354C22⋊C4—1222no—
1355C22⋊C4—1222no—
1356C22⋊C4—1222no—
1357C22⋊C4—1222no—
1358C22⋊C4—2441no—
1359C22⋊C4—2441no—
1360C22⋊C4—2441no—
1361C22⋊C4—2441no—
1362C22⋊C4—2441no—
1363C22⋊C4—2441no—
1364C22⋊C4—2441no—
1365C22⋊C4—2441no—
1366C22⋊C4—2441no—
1367C22⋊C4—2441no—
1368C22⋊C4—2441no—
1369C22⋊C4—2441no—
1370C22⋊C4—2441no—
1371C22⋊C4—2441no—
1372C22⋊C4—2441no—
1373C22⋊C4—2441no—
1374C22⋊C4—2441no—
1375C22⋊C4—2441no—
1376C22⋊C4—2441no—
1377C22⋊C4—2441no—
1378C22⋊C4—2441no—
1379C22⋊C4—2441no—
1380C22⋊C4—2441no—
1381C22⋊C4—2441no—
1382C22⋊C4—2441no—
1383C42—41no—
1384C42—41no—
1385C42—1222no—
1386C42—2441no—
1387C42—2441no—
1388C42—2441no—
1389C42—2441no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—1221no—
1435C23—1221no—
1436C23—1221no—
1437C23—1221no—
1438C23—1221no—
1439C23—1221no—
1440C23—1221no—
1441C23C2×#1175822412yes—
1442C23#1451982212yes—
1443C23#1451982212yes—
1444C23#1451982312yes—
1445C23#1451982412yes—
1446C23C24×D6111yescharacteristic
1447Q8—82no—
1448Q8—4882no—
1449Q8—4882no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—4882no—
1455D4—4882no—
1456D4—4882no—
1457D4—4882no—
1458D4—2444no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—44no—
1488C2×C4—612no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1221no—
1494C2×C4—1221no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
1505C2×C4—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—1221no—
1527C2×C4—1221no—
1528C2×C4—1221no—
1529C2×C4—1221no—
1530C2×C4—1221no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—4882no—
1534C2×C4—4882no—
1535C2×C4—4882no—
1536C2×C4—2444no—
1537C2×C4—2444no—
1538C2×C4—2444no—
1539C2×C4—2444no—
1540C2×C4—2444no—
1541C2×C4—2444no—
1542C2×C4C2×#1175822412yes—
1543C2×C4C2×#1175822412yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—88no—
1580C22—2441no—
1581C22—2441no—
1582C22—2441no—
1583C22—2441no—
1584C22—2441no—
1585C22—2441no—
1586C22—2441no—
1587C22#1684038114yes—
1588C22C22×#1175822411yescharacteristic
1589C22H(5,𝔽2)×D6111yescharacteristic
1590C22C2×#1451982211yescharacteristic
1591C22C2×#1451982211yescharacteristic
1592C22C2×#1451982311yescharacteristic
1593C22C2×#1451982411yescharacteristic
1594C22#1684059711yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—1222no—
1606C4—2441no—
1607C4—2441no—
1608C4—2441no—
1609C4—2441no—
1610C4—2441no—
1611C4—2441no—
1612C4—2441no—
1613C4—2441no—
1614C4—2441no—
1615C4—2441no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—4881no—
1626C2C2×#1684038111yescharacteristic
1627C2#2145950611yescharacteristic
1628C2#2145967011yescharacteristic
1629C2#2145996811yescharacteristic
1630C2#2146000511yescharacteristic
1631C2#2146001611yescharacteristic
1632C2#2146003411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2435C2
prime radical#21449169C2
hypercenter#2435D61
hypocenterC61#36793
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2435

Complements

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

NH ≅ G/Ntype
1. #21454113C2semidirect
2. #21454104C2semidirect
3. #21453655C2semidirect
4. #21453208C2semidirect
5. #21453158C2semidirect
6. #21453066C2semidirect
7. #21452876C2semidirect
8. #21452811C2semidirect
9. #21452744C2semidirect
10. #21452624C2semidirect
11. #21452585C2semidirect
12. #21452555C2semidirect
13. #21452487C2semidirect
14. #21452439C2semidirect
15. #21452411C2semidirect
16. #21452299C2semidirect
17. #21452224C2semidirect
18. #21452076C2semidirect
19. #21451628C2semidirect
20. #21451595C2semidirect
21. #21451001C2semidirect
22. #21450825C2semidirect
23. #21450062C2semidirect
24. #21450062C2semidirect
25. #21449942C2semidirect
26. #21449942C2semidirect
28. #21448554C2semidirect
29. #21448446C2semidirect
30. C2×#16839642C2semidirect
31. C61×#2435C2semidirect
33. C2×#14519770C22semidirect
34. C2×#14519770C22semidirect
35. C2×#14519763C22semidirect
36. C2×#14519763C22semidirect
37. C2×#14519761C22semidirect
38. C2×#14519761C22semidirect
41. C2×#14519754C22semidirect
42. C2×#14519754C22semidirect
51. #16839700C22semidirect
52. #16839698C22semidirect
53. #16839698C22semidirect
54. #16839697C22semidirect
55. #16839694C22semidirect
56. #16839694C22semidirect
57. #16839690C22semidirect
58. #16839690C22semidirect
59. #16839690C22semidirect
60. #16839690C22semidirect
61. #16839690C22semidirect
62. #16839690C22semidirect
63. #16839687C22semidirect
64. #16839687C22semidirect
65. #16839687C22semidirect
66. #16839687C22semidirect
67. #16839687C22semidirect
68. #16839687C22semidirect
69. #16839685C22semidirect
70. #16839685C22semidirect
71. #16839685C22semidirect
72. #16839685C22semidirect
73. #16839685C22semidirect
74. #16839685C22semidirect
75. #16839683C22semidirect
76. #16839683C22semidirect
77. #16839681C22semidirect
78. #16839678C22semidirect
79. #16839678C22semidirect
80. #16839678C22semidirect
81. #16839678C22semidirect
82. #16839678C22semidirect
83. #16839678C22semidirect
84. #16839677C22semidirect
85. #16839677C22semidirect
88. #16839674C22semidirect
89. #16839674C22semidirect
90. #16839674C22semidirect
91. #16839674C22semidirect
92. #16839673C22semidirect
95. #16839669C22semidirect
96. #16839669C22semidirect
97. #16839668C22semidirect
98. #16839668C22semidirect
101. #16839662C22semidirect
102. #16839662C22semidirect
103. #16839661C22semidirect
104. #16839661C22semidirect
105. #16839660C22semidirect
106. #16839660C22semidirect
107. #16839656C22semidirect
108. #16839656C22semidirect
109. #16839655C22semidirect
110. #16839655C22semidirect
111. #16839655C22semidirect
112. #16839655C22semidirect
113. #16839653C22semidirect
114. #16839653C22semidirect
115. #16839650C22semidirect
116. #16839650C22semidirect
117. #16839650C22semidirect
118. #16839650C22semidirect
119. #16839648C22semidirect
120. #16839648C22semidirect
121. #16839648C22semidirect
122. #16839648C22semidirect
123. #16839646C22semidirect
124. #16839646C22semidirect
125. #16839643C22semidirect
126. #16839643C22semidirect
139. #16839639C22semidirect
140. #16839639C22semidirect
145. #16839637C22semidirect
146. #16839637C22semidirect
147. #16839637C22semidirect
148. #16839637C22semidirect
151. #16839634C22semidirect
152. #16839634C22semidirect
153. #16839633C22semidirect
154. #16839633C22semidirect
155. #16839629C22semidirect
156. #16839626C22semidirect
157. #16839624C22semidirect
158. #16839623C22semidirect
159. #16839623C22semidirect
161. #16839621C22semidirect
164. #16839620C22semidirect
165. #16839620C22semidirect
830. #2435D61semidirect
1003. C61#36793semidirect

Maximal subgroups

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

subgroupindex
#214541132
#214541042
#214536552
#214532082
#214531582
#214530662
#214528762
#214528112
#214527442
#214526242
#214525852
#214525552
#214524872
#214524392
#214524112
#214522992
#214522242
#214520762
#214516282
#214515952
#214510012
#214508252
#214500622
#214499422
#214491692
#214485542
#214484462
C2×#168396422
C61×#24352
#3679361