Finite Group Databasebeta

← #16071713

Subgroups — #16071713

Order 3328.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123126C211yesmaximal, characteristic, complemented
2#13123116C211yesmaximal, characteristic, complemented
3#13122777C211yesmaximal, characteristic, complemented
4#13122695C211yesmaximal, characteristic, complemented
5#13122587C211yesmaximal, characteristic, complemented
6#13122534C211yesmaximal, characteristic, complemented
7#13122488C211yesmaximal, characteristic, complemented
8#13122454C211yesmaximal, characteristic, complemented
9#13122095C211yesmaximal, characteristic, complemented
10#13122068C211yesmaximal, characteristic, complemented
11#13122011C211yesmaximal, characteristic, complemented
12#13121634C211yesmaximal, characteristic, complemented
13#13121580C211yesmaximal, characteristic, complemented
14#13121552C211yesmaximal, characteristic, complemented
15#13121549C211yesmaximal, characteristic, complemented
16#13121366C211yesmaximal, characteristic, complemented
17#13121240C211yesmaximal, characteristic, complemented
18#13121203C211yesmaximal, characteristic, complemented
19#13120791C211yesmaximal, characteristic, complemented
20#13120766C211yesmaximal, characteristic, complemented
21#13119096C211yesmaximal, characteristic, complemented
22#13118961C211yesmaximal, characteristic, complemented
23#13118577C211yesmaximal, characteristic, complemented
24#13118514C211yesmaximal, characteristic, complemented
25#13118440C211yesmaximal, characteristic, complemented
26#13118368C211yesmaximal, characteristic, complemented
27#13118221C211yesmaximal, characteristic, complemented
28#13117502C211yesmaximal, characteristic, complemented
29#13117428C211yesmaximal, characteristic, complemented
30C2×#11718611C211yesmaximal, characteristic, complemented
31C13×#2404C211yesmaximal, characteristic, complemented
32C22×C13×#41C2211yescharacteristic
33C24×Dic13C2211yescharacteristic
34C2×C13×#120C2211yescharacteristic
35C2×C13×#120C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C22×C22⋊Dic13C2211yescharacteristic
39C2×#88193C2211yescharacteristic
40C2×#88193C2211yescharacteristic
41C2×#88193C2211yescharacteristic
42C2×#88193C2211yescharacteristic
43C2×#88192C2211yescharacteristic
44C2×#88190C2211yescharacteristic
45C2×#88189C2211yescharacteristic
46C2×#88189C2211yescharacteristic
47C2×#88183C2211yescharacteristic
48C2×#88180C2211yescharacteristic
49C22×C4⋊Dic13C2211yescharacteristic
50C22×C4⋊Dic13C2211yescharacteristic
51C2×#88137C2211yescharacteristic, complemented
52C2×#88135C2211yescharacteristic
53C2×#88133C2211yescharacteristic, complemented
54C2×#88132C2211yescharacteristic
55C13×#393C2211yescharacteristic
56C13×#393C2211yescharacteristic
57C13×#392C2211yescharacteristic
58C13×#392C2211yescharacteristic
59C13×#386C2211yescharacteristic
60C13×#386C2211yescharacteristic
61C13×#386C2211yescharacteristic
62C13×#386C2211yescharacteristic
63C13×#386C2211yescharacteristic
64C13×#386C2211yescharacteristic
65C13×#381C2211yescharacteristic
66#11718908C2211yescharacteristic
67#11718892C2211yescharacteristic, complemented
68#11718891C2211yescharacteristic, complemented
69#11718891C2211yescharacteristic, complemented
70#11718890C2211yescharacteristic, complemented
71#11718884C2211yescharacteristic
72#11718884C2211yescharacteristic, complemented
73#11718883C2211yescharacteristic
74#11718883C2211yescharacteristic
75#11718883C2211yescharacteristic
76#11718883C2211yescharacteristic, complemented
77#11718882C2211yescharacteristic
78#11718882C2211yescharacteristic
79#11718882C2211yescharacteristic, complemented
80#11718882C2211yescharacteristic, complemented
81#11718881C2211yescharacteristic
82#11718881C2211yescharacteristic
83#11718881C2211yescharacteristic
84#11718881C2211yescharacteristic
85#11718881C2211yescharacteristic
86#11718881C2211yescharacteristic
87#11718881C2211yescharacteristic
88#11718881C2211yescharacteristic
89#11718881C2211yescharacteristic
90#11718881C2211yescharacteristic
91#11718874C2211yescharacteristic
92#11718874C2211yescharacteristic, complemented
93#11718874C2211yescharacteristic, complemented
94#11718873C2211yescharacteristic, complemented
95#11718873C2211yescharacteristic, complemented
96#11718873C2211yescharacteristic, complemented
97#11718873C2211yescharacteristic, complemented
98#11718871C2211yescharacteristic
99#11718871C2211yescharacteristic, complemented
100#11718871C2211yescharacteristic, complemented
101C2×#88071C2211yescharacteristic
102C2×#88071C2211yescharacteristic
103#11718622C2211yescharacteristic
104#11718622C2211yescharacteristic
105#11718622C2211yescharacteristic
106#11718622C2211yescharacteristic, complemented
107#11718622C2211yescharacteristic, complemented
108#11718620C2211yescharacteristic, complemented
109#11718619C2211yescharacteristic
110#11718619C2211yescharacteristic
111#11718619C2211yescharacteristic
112#11718618C2211yescharacteristic
113#11718618C2211yescharacteristic
114#11718617C2211yescharacteristic
115#11718614C2211yescharacteristic
116#11718614C2211yescharacteristic, complemented
117#11718614C2211yescharacteristic, complemented
118#11718613C2211yescharacteristic, complemented
119#11718613C2211yescharacteristic, complemented
120#11718613C2211yescharacteristic, complemented
121#11718612C2211yescharacteristic, complemented
122#11718612C2211yescharacteristic, complemented
123#11718611C2211yescharacteristic
124#11718611C2211yescharacteristic
125#11718611C2211yescharacteristic
126#11718611C2211yescharacteristic
127#11718611C2211yescharacteristic
128#11718611C2211yescharacteristic
129#11718611C2211yescharacteristic
130#11718611C2211yescharacteristic
131#11718611C2211yescharacteristic
132#11718610C2211yescharacteristic, complemented
133#11718609C2211yescharacteristic
134#11718609C2211yescharacteristic
135#11718609C2211yescharacteristic
136#11718609C2211yescharacteristic, complemented
137#11718609C2211yescharacteristic, complemented
138#11718608C2211yescharacteristic
139#11718608C2211yescharacteristic, complemented
140#11718607C2211yescharacteristic
141#11718607C2211yescharacteristic
142#11718607C2211yescharacteristic
143#11718607C2211yescharacteristic
144#11718606C2211yescharacteristic
145#11718606C2211yescharacteristic
146#11718606C2211yescharacteristic
147#11718606C2211yescharacteristic
148#11718605C2211yescharacteristic
149#11718604C2211yescharacteristic
150#11718604C2211yescharacteristic
151#11718603C2211yescharacteristic
152#11718603C2211yescharacteristic
153#11718603C2211yescharacteristic
154C22⋊C4×Dic13C2211yescharacteristic
155#11718336C2211yescharacteristic, complemented
156#11718335C2211yescharacteristic, complemented
157#11718334C2211yescharacteristic, complemented
158#11718331C2211yescharacteristic, complemented
159#11718331C2211yescharacteristic, complemented
160#11718329C2211yescharacteristic, complemented
161#11718329C2211yescharacteristic, complemented
162#11718329C2211yescharacteristic, complemented
163C13⋊#401C2211yescharacteristic, complemented
164#11718322C2211yescharacteristic, complemented
165#11718321C2211yescharacteristic, complemented
166#11718321C2211yescharacteristic, complemented
167#11718321C2211yescharacteristic, complemented
168#11718321C2211yescharacteristic, complemented
169#11718320C2211yescharacteristic, complemented
170#11718320C2211yescharacteristic, complemented
171#11718319C2211yescharacteristic, complemented
172#11718319C2211yescharacteristic, complemented
173#11718318C2211yescharacteristic, complemented
174#11718318C2211yescharacteristic, complemented
175#11718317C2211yescharacteristic, complemented
176#11718316C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718308C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C2×C13×#41—24no—
189C2×C13×#41—42no—
190C2×C13×#41—42no—
191C22×Q8×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C22×D4×C13C2311yescharacteristic
196C22×D4×C13C2311yescharacteristic
197C22×D4×C13C2311yescharacteristic
198C22×D4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C23×C4×C13C2311yescharacteristic
202C23×C4×C13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C22×C22⋊D13C2311yescharacteristic
208C23×Dic13—42no—
209C23×Dic13—42no—
210C23×Dic13—42no—
211C23×Dic13C2311yescharacteristic
212C23×Dic13C2311yescharacteristic
213C23×Dic13C2311yescharacteristic
214C23×Dic13C2311yescharacteristic
215C23×Dic13C2311yescharacteristic
216C23×Dic13C2311yescharacteristic
217C23×Dic13C2311yescharacteristic
218C23×Dic13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×Dic26C2311yescharacteristic
221C13×#120—42no—
222C13×#120—42no—
223C2×C13×C22⋊C4—24no—
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238#88207—42no—
239C2×C22⋊Dic13—42no—
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265C2×C22⋊Dic13C2311yescharacteristic
266C2×C22⋊Dic13C2311yescharacteristic
267#88193—42no—
268#88193—42no—
269#88193—42no—
270#88193—42no—
271#88192—42no—
272#88190—42no—
273#88189—42no—
274#88189—42no—
275#88183—24no—
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285#88180—42no—
286C2×C4⋊Dic13—42no—
287C2×C4⋊Dic13—42no—
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
300C2×C4⋊Dic13C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321#88137—42no—
322#88135—42no—
323#88133—42no—
324#88132—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#36791—131nomaximal, Sylow
370C24×C13—22no—
371C24×C13—22no—
372C24×C13—22no—
373C24×C13—22no—
374C24×C13—22no—
375C24×C13—41no—
376C24×C13—41no—
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C24×C13C2411yescharacteristic
381C24×C13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C13×#41—416no—
384C2×Q8×C13—22no—
385C2×Q8×C13—41no—
386C2×Q8×C13—41no—
387C2×D4×C13—22no—
388C2×D4×C13—22no—
389C2×D4×C13—22no—
390C2×D4×C13—22no—
391C2×D4×C13—22no—
392C2×D4×C13—22no—
393C2×D4×C13—22no—
394C2×D4×C13—22no—
395C2×D4×C13—22no—
396C2×D4×C13—22no—
397C2×D4×C13—22no—
398C2×D4×C13—41no—
399C2×D4×C13—41no—
400C2×D4×C13—41no—
401C2×D4×C13—41no—
402C2×D4×C13—41no—
403C2×D4×C13—41no—
404C2×D4×C13—41no—
405C2×D4×C13—41no—
406C2×D4×C13—41no—
407C2×D4×C13—41no—
408C22×C4×C13—22no—
409C22×C4×C13—22no—
410C22×C4×C13—22no—
411C22×C4×C13—22no—
412C22×C4×C13—22no—
413C22×C4×C13—41no—
414C22×C4×C13—41no—
415C22×C4×C13—41no—
416C22×C4×C13—41no—
417C22×C4×C13—41no—
418C22×C4×C13—41no—
419C22×C4×C13#4114yes—
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—22no—
434C2×C22⋊D13—22no—
435C2×C22⋊D13—22no—
436C2×C22⋊D13—41no—
437C2×C22⋊D13—41no—
438C2×C22⋊D13—41no—
439C2×C22⋊D13—41no—
440C2×C22⋊D13—41no—
441C2×C22⋊D13—41no—
442C2×C22⋊D13—41no—
443C2×C22⋊D13—41no—
444C2×C22⋊D13—41no—
445C22×Dic13—22no—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—22no—
449C22×Dic13—22no—
450C22×Dic13—22no—
451C22×Dic13—22no—
452C22×Dic13—22no—
453C22×Dic13—22no—
454C22×Dic13—41no—
455C22×Dic13—41no—
456C22×Dic13—41no—
457C22×Dic13—41no—
458C22×Dic13—41no—
459C22×Dic13—41no—
460C22×Dic13—41no—
461C22×Dic13—41no—
462C22×Dic13—41no—
463C22×Dic13—41no—
464C22×Dic13—41no—
465C22×Dic13—41no—
466C22×Dic13—41no—
467C22×Dic13—41no—
468C22×Dic13—41no—
469C22×Dic13—416no—
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2411yescharacteristic
477C22×Dic13C2411yescharacteristic
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C2×C4×D13—41no—
486C2×C4×D13—41no—
487C2×C4×D13—41no—
488C2×Dic26—41no—
489C2×Dic26—41no—
490C2×Dic26—41no—
491C13×C22⋊C4—22no—
492C13×C22⋊C4—22no—
493C13×C22⋊C4—22no—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C22⋊Dic13—22no—
506C22⋊Dic13—22no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13—41no—
518C22⋊Dic13—41no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523C22⋊Dic13—41no—
524C22⋊Dic13—41no—
525C22⋊Dic13—41no—
526C22⋊Dic13—41no—
527C22⋊Dic13—41no—
528C22⋊Dic13—41no—
529C22⋊Dic13—41no—
530C22⋊Dic13—41no—
531C22⋊Dic13—41no—
532#6103—22no—
533#6103—22no—
534#6103—41no—
535#6103—41no—
536#6103—41no—
537#6103—41no—
538#6103—41no—
539#6103—41no—
540#6103—41no—
541C4⋊Dic13—22no—
542C4⋊Dic13—22no—
543C4⋊Dic13—41no—
544C4⋊Dic13—41no—
545C4⋊Dic13—41no—
546C4⋊Dic13—41no—
547C4⋊Dic13—41no—
548C4⋊Dic13—41no—
549C4⋊Dic13—41no—
550C4⋊Dic13—41no—
551C4⋊Dic13—41no—
552C4⋊Dic13—41no—
553C4⋊Dic13—41no—
554#6101—22no—
555#6101—22no—
556#6101—22no—
557#6101—22no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563#6101—41no—
564#6101—41no—
565#6101—41no—
566#6101—41no—
567#6101—41no—
568#6101—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2849—131no—
575#2847—131no—
576#2804—131no—
577#2797—131no—
578#2788—131no—
579#2784—131no—
580#2780—131no—
581#2778—131no—
582#2751—131no—
583#2750—131no—
584#2745—131no—
585#2714—131no—
586#2710—131no—
587#2708—131no—
588#2708—131no—
589#2695—131no—
590#2686—131no—
591#2682—131no—
592#2643—131no—
593#2639—131no—
594#2481—131no—
595#2472—131no—
596#2443—131no—
597#2438—131no—
598#2430—131no—
599#2424—131no—
600#2411—131no—
601#2404D1311yescharacteristic, complemented
602#2322—131no—
603#2311—131no—
604C2×#385—131no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—28no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—44no—
637C23×C13—44no—
638C23×C13—44no—
639C23×C13—44no—
640C23×C13—44no—
641C23×C13—44no—
642C23×C13C2×#4112yes—
643C23×C13H(5,𝔽2)12yes—
644C23×C13H(5,𝔽2)12yes—
645C23×C13H(5,𝔽2)12yes—
646C23×C132−1+412yes—
647C23×C13C2511yescharacteristic
648C22×D13—21no—
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655Q8×C13—44no—
656D4×C13—44no—
657D4×C13—44no—
658D4×C13—44no—
659D4×C13—82no—
660D4×C13—82no—
661D4×C13—82no—
662D4×C13—82no—
663C2×C4×C13—28no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—44no—
693C2×C4×C13—44no—
694C2×C4×C13—44no—
695C2×C4×C13C2×#4112yes—
696C2×C4×C13C2×#4112yes—
697C22⋊D13—44no—
698C22⋊D13—82no—
699C22⋊D13—82no—
700C22⋊D13—82no—
701C22⋊D13—82no—
702C2×Dic13—21no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—44no—
747C2×Dic13—44no—
748C2×Dic13—44no—
749C2×Dic13—44no—
750C2×Dic13—44no—
751C2×Dic13—44no—
752C2×Dic13—82no—
753C2×Dic13—82no—
754C2×Dic13H(5,𝔽2)12yes—
755C4×D13—82no—
756Dic26—82no—
757C22×#41C2×D1311yescharacteristic
758C24×C4—131no—
759C2×#126—131no—
760C2×#124—131no—
761C2×#123—131no—
762C2×#123—131no—
763C2×#123—131no—
764C2×#123—131no—
765C2×C22⋊Q8—131no—
766C2×#121—131no—
767C2×#121—131no—
768C2×#121—131no—
769C2×#121—131no—
770C2×#121—131no—
771C2×#120—131no—
772C2×#120C2×D1311yescharacteristic
773C2×#120C2×D1311yescharacteristic
774C2×C4×D4—131no—
775C2×#117—131no—
776C22×C4⋊C4—131no—
777C22×C4⋊C4—131no—
778C22×C22⋊C4—131no—
779C22×C22⋊C4C2×D1311yescharacteristic
780#401—131no—
781#400—131no—
782#400—131no—
783#400—131no—
784#400—131no—
785#400—131no—
786#400—131no—
787#400—131no—
788#400—131no—
789#399—131no—
790#398—131no—
791#398—131no—
792#398—131no—
793#397—131no—
794#397—131no—
795#397—131no—
796#397—131no—
797#397—131no—
798#397—131no—
799#397—131no—
800#397—131no—
801#396—131no—
802#396—131no—
803#396—131no—
804#396—131no—
805#396—131no—
806#395—131no—
807#395—131no—
808#394—131no—
809#394—131no—
810#394—131no—
811#394—131no—
812#394—131no—
813#394—131no—
814#394—131no—
815#394—131no—
816#394—131no—
817#394—131no—
818#393—131no—
819#393—131no—
820#393—131no—
821#393—131no—
822#393C2×D1311yescharacteristic
823#393C2×D1311yescharacteristic
824#392—131no—
825#392—131no—
826#392C2×D1311yescharacteristic
827#392C2×D1311yescharacteristic
828#391—131no—
829#391—131no—
830#391—131no—
831#390—131no—
832#390—131no—
833#390—131no—
834#390—131no—
835#390—131no—
836#390—131no—
837#389—131no—
838#389—131no—
839#389—131no—
840#388—131no—
841#388—131no—
842#388—131no—
843#388—131no—
844#388—131no—
845#388—131no—
846#388—131no—
847#388—131no—
848#388—131no—
849#387—131no—
850#387—131no—
851#387—131no—
852#387—131no—
853#387—131no—
854#387—131no—
855#387—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386C2×D1311yescharacteristic
874#386C2×D1311yescharacteristic
875#386C2×D1311yescharacteristic
876#386C2×D1311yescharacteristic
877#386C2×D1311yescharacteristic
878#386C2×D1311yescharacteristic
879#385—131no—
880#385—131no—
881#385—131no—
882#385—131no—
883#385—131no—
884#385—131no—
885#385—131no—
886#385—131no—
887#385—131no—
888#385—131no—
889#385—131no—
890#385—131no—
891#385—131no—
892#385—131no—
893#385—131no—
894#385—131no—
895#385—131no—
896#385—131no—
897#385—131no—
898#381—131no—
899#381—131no—
900#381C2×D1311yescharacteristic
901#380—131no—
902#380—131no—
903#380—131no—
904#380—131no—
905#380—131no—
906#380—131no—
907#380—131no—
908#379—131no—
909C4×C22⋊C4—131no—
910C2×#95—131no—
911C2×#95—131no—
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—22no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—416no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13—41no—
941C22×C13—41no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13—41no—
947C22×C13#53814yes—
948C22×C13C22×#4111yescharacteristic
949C22×C13C2×H(5,𝔽2)11yescharacteristic
950C22×C13C2×H(5,𝔽2)11yescharacteristic
951C22×C13C2×H(5,𝔽2)11yescharacteristic
952C22×C13C2×H(5,𝔽2)11yescharacteristic
953C22×C13C2×2−1+411yescharacteristic
954C22×C13#58511yescharacteristic
955C2×D13—41no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13—41no—
959C2×D13—41no—
960C2×D13—41no—
961C2×D13—41no—
962C4×C13—22no—
963C4×C13—22no—
964C4×C13—41no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972Dic13—22no—
973Dic13—41no—
974Dic13—41no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987C25C22×D1311yescharacteristic
988C2×#41—24no—
989C2×#41—42no—
990C2×#41—42no—
991C22×Q8—131no—
992C22×Q8C22×D1311yescharacteristic
993C22×D4—131no—
994C22×D4—131no—
995C22×D4—131no—
996C22×D4—131no—
997C22×D4—131no—
998C22×D4C22×D1311yescharacteristic
999C22×D4C22×D1311yescharacteristic
1000C22×D4C22×D1311yescharacteristic
1001C22×D4C22×D1311yescharacteristic
1002C22×D4C22×D1311yescharacteristic
1003C22×D4C22×D1311yescharacteristic
1004C22×D4C22×D1311yescharacteristic
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—131no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4—131no—
1014C23×C4—522no—
1015C23×C4—522no—
1016C23×C4—522no—
1017C23×C4C22×D1311yescharacteristic
1018C23×C4C22×D1311yescharacteristic
1019C23×C4C22×D1311yescharacteristic
1020C23×C4C22×D1311yescharacteristic
1021#126—522no—
1022#124—522no—
1023#123—264no—
1024#123—522no—
1025#123—522no—
1026#123—522no—
1027C22⋊Q8—522no—
1028#121—522no—
1029#121—522no—
1030#121—522no—
1031#121—522no—
1032#121—522no—
1033#120—42no—
1034#120—42no—
1035#120—522no—
1036C4×D4—522no—
1037#117—522no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—131no—
1057C2×C4⋊C4—131no—
1058C2×C4⋊C4—131no—
1059C2×C4⋊C4—131no—
1060C2×C4⋊C4—131no—
1061C2×C4⋊C4—131no—
1062C2×C4⋊C4—131no—
1063C2×C4⋊C4—131no—
1064C2×C4⋊C4—131no—
1065C2×C4⋊C4—131no—
1066C2×C4⋊C4—522no—
1067C2×C4⋊C4—522no—
1068C2×C22⋊C4—24no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—522no—
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C22⋊C4C22×D1311yescharacteristic
1112C2×C22⋊C4C22×D1311yescharacteristic
1113C2×C22⋊C4C22×D1311yescharacteristic
1114C2×C22⋊C4C22×D1311yescharacteristic
1115C2×C22⋊C4C22×D1311yescharacteristic
1116C2×C22⋊C4C22×D1311yescharacteristic
1117C2×C22⋊C4C22×D1311yescharacteristic
1118C2×C22⋊C4C22×D1311yescharacteristic
1119C2×C22⋊C4C22×D1311yescharacteristic
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—131no—
1124C2×C42—131no—
1125#95—131no—
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169C2×C13—24no—
1170C2×C13—42no—
1171C2×C13—42no—
1172C2×C13—81no—
1173C2×C13—81no—
1174C2×C13C2×#53811yescharacteristic
1175C2×C13#349211yescharacteristic
1176C2×C13#350611yescharacteristic
1177C2×C13#353211yescharacteristic
1178C2×C13#353411yescharacteristic
1179C2×C13#353511yescharacteristic
1180C2×C13#353611yescharacteristic
1181D13—81no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—41no—
1188C24—41no—
1189C24—131no—
1190C24C23×D1311yescharacteristic
1191C24C23×D1311yescharacteristic
1192C24C23×D1311yescharacteristic
1193C24C23×D1311yescharacteristic
1194C24C23×D1311yescharacteristic
1195#41—416no—
1196C2×Q8—22no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—521no—
1200C2×Q8—521no—
1201C2×Q8—521no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—262no—
1224C2×D4—262no—
1225C2×D4—262no—
1226C2×D4—262no—
1227C2×D4—262no—
1228C2×D4—262no—
1229C2×D4—521no—
1230C2×D4—521no—
1231C2×D4—521no—
1232C2×D4—521no—
1233C2×D4—521no—
1234C2×D4—521no—
1235C2×D4—521no—
1236C2×D4—521no—
1237C2×D4—521no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—131no—
1253C22×C4—131no—
1254C22×C4—131no—
1255C22×C4—131no—
1256C22×C4—131no—
1257C22×C4—131no—
1258C22×C4—131no—
1259C22×C4—131no—
1260C22×C4—131no—
1261C22×C4—131no—
1262C22×C4—131no—
1263C22×C4—131no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—262no—
1270C22×C4—262no—
1271C22×C4—262no—
1272C22×C4—262no—
1273C22×C4—521no—
1274C22×C4—521no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4—521no—
1280C22×C4—521no—
1281C22×C4—521no—
1282C22×C4—521no—
1283C22×C4—521no—
1284C22×C4—521no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4—521no—
1290C22×C4—521no—
1291C22×C4—5216no—
1292C22×C4#612914yes—
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C4⋊C4—262no—
1304C4⋊C4—262no—
1305C4⋊C4—262no—
1306C4⋊C4—262no—
1307C4⋊C4—262no—
1308C4⋊C4—262no—
1309C4⋊C4—521no—
1310C4⋊C4—521no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C4⋊C4—521no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
1319C4⋊C4—521no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
1322C4⋊C4—521no—
1323C4⋊C4—521no—
1324C4⋊C4—521no—
1325C4⋊C4—521no—
1326C4⋊C4—521no—
1327C4⋊C4—521no—
1328C4⋊C4—521no—
1329C4⋊C4—521no—
1330C4⋊C4—521no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
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—262no—
1346C22⋊C4—262no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
1349C22⋊C4—262no—
1350C22⋊C4—262no—
1351C22⋊C4—262no—
1352C22⋊C4—262no—
1353C22⋊C4—262no—
1354C22⋊C4—262no—
1355C22⋊C4—521no—
1356C22⋊C4—521no—
1357C22⋊C4—521no—
1358C22⋊C4—521no—
1359C22⋊C4—521no—
1360C22⋊C4—521no—
1361C22⋊C4—521no—
1362C22⋊C4—521no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C22⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C22⋊C4—521no—
1374C22⋊C4—521no—
1375C22⋊C4—521no—
1376C22⋊C4—521no—
1377C22⋊C4—521no—
1378C22⋊C4—521no—
1379C22⋊C4—521no—
1380C22⋊C4—521no—
1381C42—521no—
1382C42—521no—
1383C42—521no—
1384C42—521no—
1385C42—521no—
1386C13#3679111yescharacteristic, complemented, Sylow
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
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—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23—261no—
1428C23—261no—
1429C23—261no—
1430C23—261no—
1431C23C2×#612912yes—
1432C23#8825112yes—
1433C23#8825112yes—
1434C23#8825612yes—
1435C23#8825712yes—
1436C23C24×D1311yescharacteristic
1437Q8—44no—
1438Q8—1042no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—524no—
1447D4—1042no—
1448D4—1042no—
1449D4—1042no—
1450D4—1042no—
1451C2×C4—28no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
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—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—132no—
1484C2×C4—261no—
1485C2×C4—261no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—261no—
1513C2×C4—261no—
1514C2×C4—261no—
1515C2×C4—261no—
1516C2×C4—261no—
1517C2×C4—261no—
1518C2×C4—261no—
1519C2×C4—261no—
1520C2×C4—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—261no—
1527C2×C4—261no—
1528C2×C4—524no—
1529C2×C4—524no—
1530C2×C4—524no—
1531C2×C4—524no—
1532C2×C4—524no—
1533C2×C4—524no—
1534C2×C4—1042no—
1535C2×C4—1042no—
1536C2×C4—1042no—
1537C2×C4C2×#612912yes—
1538C2×C4C2×#612912yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
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—521no—
1575C22—521no—
1576C22—521no—
1577C22—521no—
1578C22—521no—
1579C22—521no—
1580C22—521no—
1581C22#1171929814yes—
1582C22C22×#612911yescharacteristic
1583C22C2×#8825111yescharacteristic
1584C22C2×#8825111yescharacteristic
1585C22C2×#8825611yescharacteristic
1586C22C2×#8825711yescharacteristic
1587C22D13×H(5,𝔽2)11yescharacteristic
1588C22#1171965011yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—262no—
1600C4—521no—
1601C4—521no—
1602C4—521no—
1603C4—521no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C4—521no—
1609C4—521no—
1610C4—521no—
1611C4—521no—
1612C4—521no—
1613C4—521no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—1041no—
1620C2C2×#1171929811yescharacteristic
1621C2#1312854211yescharacteristic
1622C2#1312868711yescharacteristic
1623C2#1312898511yescharacteristic
1624C2#1312902211yescharacteristic
1625C2#1312903311yescharacteristic
1626C2#1312905111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2404C2
hypercenter#2404D13
hypocenterC13#36791
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2404

Complements

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

NH ≅ G/Ntype
1. #13123126C2semidirect
2. #13123116C2semidirect
3. #13122777C2semidirect
4. #13122695C2semidirect
5. #13122587C2semidirect
6. #13122534C2semidirect
7. #13122488C2semidirect
8. #13122454C2semidirect
9. #13122095C2semidirect
10. #13122068C2semidirect
11. #13122011C2semidirect
12. #13121634C2semidirect
13. #13121580C2semidirect
14. #13121552C2semidirect
15. #13121549C2semidirect
16. #13121366C2semidirect
17. #13121240C2semidirect
18. #13121203C2semidirect
19. #13120791C2semidirect
20. #13120766C2semidirect
21. #13119096C2semidirect
22. #13118961C2semidirect
23. #13118577C2semidirect
24. #13118514C2semidirect
25. #13118440C2semidirect
26. #13118368C2semidirect
27. #13118221C2semidirect
28. #13117502C2semidirect
29. #13117428C2semidirect
30. C2×#11718611C2semidirect
31. C13×#2404C2semidirect
51. C2×#88137C22semidirect
53. C2×#88133C22semidirect
67. #11718892C22semidirect
68. #11718891C22semidirect
69. #11718891C22semidirect
70. #11718890C22semidirect
72. #11718884C22semidirect
76. #11718883C22semidirect
79. #11718882C22semidirect
80. #11718882C22semidirect
92. #11718874C22semidirect
93. #11718874C22semidirect
94. #11718873C22semidirect
95. #11718873C22semidirect
96. #11718873C22semidirect
97. #11718873C22semidirect
99. #11718871C22semidirect
100. #11718871C22semidirect
106. #11718622C22semidirect
107. #11718622C22semidirect
108. #11718620C22semidirect
116. #11718614C22semidirect
117. #11718614C22semidirect
118. #11718613C22semidirect
119. #11718613C22semidirect
120. #11718613C22semidirect
121. #11718612C22semidirect
122. #11718612C22semidirect
132. #11718610C22semidirect
136. #11718609C22semidirect
137. #11718609C22semidirect
139. #11718608C22semidirect
155. #11718336C22semidirect
156. #11718335C22semidirect
157. #11718334C22semidirect
158. #11718331C22semidirect
159. #11718331C22semidirect
160. #11718329C22semidirect
161. #11718329C22semidirect
162. #11718329C22semidirect
163. C13⋊#401C22semidirect
164. #11718322C22semidirect
165. #11718321C22semidirect
166. #11718321C22semidirect
167. #11718321C22semidirect
168. #11718321C22semidirect
169. #11718320C22semidirect
170. #11718320C22semidirect
171. #11718319C22semidirect
172. #11718319C22semidirect
173. #11718318C22semidirect
174. #11718318C22semidirect
175. #11718317C22semidirect
176. #11718316C22semidirect
177. #11718316C22semidirect
178. #11718316C22semidirect
179. #11718316C22semidirect
180. #11718315C22semidirect
181. #11718315C22semidirect
182. #11718314C22semidirect
183. #11718308C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
601. #2404D13semidirect
1386. C13#36791semidirect

Maximal subgroups

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

subgroupindex
#131231262
#131231162
#131227772
#131226952
#131225872
#131225342
#131224882
#131224542
#131220952
#131220682
#131220112
#131216342
#131215802
#131215522
#131215492
#131213662
#131212402
#131212032
#131207912
#131207662
#131190962
#131189612
#131185772
#131185142
#131184402
#131183682
#131182212
#131175022
#131174282
C2×#117186112
C13×#24042
#3679113