Finite Group Databasebeta

← #16027132

Subgroups — #16027132

Order 3328.

2306 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719322C211yesmaximal, characteristic
2#13118026C211yesmaximal, characteristic, complemented
3#13117982C211yesmaximal, characteristic, complemented
4#13117973C211yesmaximal, characteristic, complemented
5#13117966C211yesmaximal, characteristic, complemented
6#13117962C211yesmaximal, characteristic, complemented
7#13117884C211yesmaximal, characteristic, complemented
8#13117878C211yesmaximal, characteristic, complemented
9#13117877C211yesmaximal, characteristic, complemented
10#13117826C211yesmaximal, characteristic, complemented
11#13117826C211yesmaximal, characteristic, complemented
12#13117819C211yesmaximal, characteristic, complemented
13#13117784C211yesmaximal, characteristic, complemented
14#13117774C211yesmaximal, characteristic, complemented
15#13117682C211yesmaximal, characteristic, complemented
16#13117678C211yesmaximal, characteristic, complemented
17#13117650C211yesmaximal, characteristic, complemented
18#13117647C211yesmaximal, characteristic, complemented
19#13117616C211yesmaximal, characteristic, complemented
20#13117589C211yesmaximal, characteristic, complemented
21#13117542C211yesmaximal, characteristic, complemented
22#13117537C211yesmaximal, characteristic, complemented
23#13117526C211yesmaximal, characteristic, complemented
24#13117514C211yesmaximal, characteristic, complemented
25#13117495C211yesmaximal, characteristic, complemented
26#13117492C211yesmaximal, characteristic, complemented
27#13117462C211yesmaximal, characteristic, complemented
28#13117386C211yesmaximal, characteristic, complemented
29#13117377C211yesmaximal, characteristic, complemented
30#13117298C211yesmaximal, characteristic, complemented
31C13×#2377C211yesmaximal, characteristic, complemented
32C2×C13×#121C2211yescharacteristic
33C2×#88193C2211yescharacteristic
34C2×#88193C2211yescharacteristic
35C2×#88191C2211yescharacteristic
36C2×#88191C2211yescharacteristic
37C2×D4×Dic13C2211yescharacteristic
38C2×D4×Dic13C2211yescharacteristic
39C2×D4×Dic13C2211yescharacteristic, complemented
40C2×C4×C22⋊D13C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic
43C22×#6103C2211yescharacteristic
44C2×#88180C2211yescharacteristic
45C2×#88178C2211yescharacteristic
46#11719322C4116yescomplemented
47C2×#88152C2211yescharacteristic
48C2×#88152C2211yescharacteristic
49C2×#88141C2211yescharacteristic, complemented
50C2×#88140C2211yescharacteristic
51C2×#88140C2211yescharacteristic
52C2×#88139C2211yescharacteristic
53C2×#88139C2211yescharacteristic
54C2×#88135C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×#88131C2211yescharacteristic
58C2×#88131C2211yescharacteristic, complemented
59C2×#88131C2211yescharacteristic, complemented
60C13×#390C2211yescharacteristic
61C13×#390C2211yescharacteristic
62C13×#388C2211yescharacteristic, complemented
63C13×#388C2211yescharacteristic, complemented
64C13×#387C2211yescharacteristic, complemented
65C13×#387C2211yescharacteristic, complemented
66C13×#386C2211yescharacteristic
67C13×#386C2211yescharacteristic
68C13×#386C2211yescharacteristic, complemented
69C13×#386C2211yescharacteristic, complemented
70C13×#385C2211yescharacteristic, complemented
71C13×#385C2211yescharacteristic, complemented
72C13×#381C2211yescharacteristic
73C13×#380C2211yescharacteristic
74#11718882C2211yescharacteristic
75#11718882C2211yescharacteristic
76#11718882C2211yescharacteristic, complemented
77#11718881C2211yescharacteristic
78#11718881C2211yescharacteristic
79#11718874C2211yescharacteristic
80#11718871C2211yescharacteristic, complemented
81C4×C22⋊Dic13C2211yescharacteristic
82C4×C22⋊Dic13C2211yescharacteristic, complemented
83C2×#88071C2211yescharacteristic, complemented
84C2×#88071C2211yescharacteristic, complemented
85#11718651C2211yescharacteristic
86#11718651C2211yescharacteristic
87#11718651C2211yescharacteristic
88#11718651C2211yescharacteristic
89#11718651C2211yescharacteristic
90#11718650C2211yescharacteristic
91#11718650C2211yescharacteristic
92#11718650C2211yescharacteristic
93#11718646C2211yescharacteristic, complemented
94#11718637C2211yescharacteristic, complemented
95C4⋊C4×Dic13C2211yescharacteristic, complemented
96C4⋊C4×Dic13C2211yescharacteristic, complemented
97C4⋊C4×Dic13C2211yescharacteristic, complemented
98C4⋊C4×Dic13C2211yescharacteristic, complemented
99#11718635C2211yescharacteristic, complemented
100#11718634C2211yescharacteristic, complemented
101#11718634C2211yescharacteristic, complemented
102#11718619C2211yescharacteristic
103#11718619C2211yescharacteristic
104#11718619C2211yescharacteristic
105#11718618C2211yescharacteristic
106#11718618C2211yescharacteristic
107#11718618C2211yescharacteristic
108#11718618C2211yescharacteristic
109#11718617C2211yescharacteristic
110#11718617C2211yescharacteristic
111#11718617C2211yescharacteristic
112#11718617C2211yescharacteristic
113#11718616C2211yescharacteristic
114#11718616C2211yescharacteristic
115#11718612C2211yescharacteristic, complemented
116#11718612C2211yescharacteristic, complemented
117#11718607C2211yescharacteristic, complemented
118#11718606C2211yescharacteristic
119#11718606C2211yescharacteristic
120#11718606C2211yescharacteristic
121#11718606C2211yescharacteristic
122#11718606C2211yescharacteristic, complemented
123#11718606C2211yescharacteristic, complemented
124#11718605C2211yescharacteristic
125#11718605C2211yescharacteristic
126#11718605C2211yescharacteristic
127#11718605C2211yescharacteristic
128#11718605C2211yescharacteristic, complemented
129#11718605C2211yescharacteristic, complemented
130#11718604C2211yescharacteristic
131#11718603C2211yescharacteristic
132#11718603C2211yescharacteristic, complemented
133#11718603C2211yescharacteristic, complemented
134C22⋊C4×Dic13C2211yescharacteristic
135C22⋊C4×Dic13C2211yescharacteristic, complemented
136C22⋊C4×Dic13C2211yescharacteristic, complemented
137C22⋊C4×Dic13C2211yescharacteristic, complemented
138C22⋊C4×Dic13C2211yescharacteristic, complemented
139C22⋊C4×Dic13C2211yescharacteristic, complemented
140#11718601C2211yescharacteristic
141#11718601C2211yescharacteristic
142#11718601C2211yescharacteristic
143C4×#6103C2211yescharacteristic
144C4×C4⋊Dic13C2211yescharacteristic, complemented
145C4×#6101C2211yescharacteristic, complemented
146C42×Dic13C2211yescharacteristic, complemented
147#11718589C2211yescharacteristic, complemented
148#11718331C2211yescharacteristic
149#11718331C2211yescharacteristic
150#11718331C2211yescharacteristic
151#11718330C2211yescharacteristic
152#11718330C2211yescharacteristic
153#11718330C2211yescharacteristic
154#11718330C2211yescharacteristic
155#11718330C2211yescharacteristic
156#11718329C2211yescharacteristic
157#11718329C2211yescharacteristic
158#11718329C2211yescharacteristic
159#11718329C2211yescharacteristic
160#11718329C2211yescharacteristic
161#11718327C2211yescharacteristic
162#11718327C2211yescharacteristic
163#11718327C2211yescharacteristic
164#11718327C2211yescharacteristic
165#11718327C2211yescharacteristic
166#11718327C2211yescharacteristic
167#11718327C2211yescharacteristic
168#11718316C2211yescharacteristic, complemented
169#11718316C2211yescharacteristic, complemented
170#11718315C2211yescharacteristic, complemented
171#11718315C2211yescharacteristic, complemented
172#11718315C2211yescharacteristic, complemented
173#11718315C2211yescharacteristic, complemented
174#11718314C2211yescharacteristic, complemented
175#11718314C2211yescharacteristic, complemented
176#11718313C2211yescharacteristic, complemented
177#11718313C2211yescharacteristic, complemented
178#11718312C2211yescharacteristic, complemented
179#11718312C2211yescharacteristic, complemented
180#11718311C2211yescharacteristic, complemented
181#11718310C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718309C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×Dic26C2311yescharacteristic
209C13×#121C2×C418yescomplemented
210C2×C13×C4⋊C4C2311yescharacteristic
211C2×C13×C4⋊C4C2311yescharacteristic
212C2×C13×C4⋊C4C2311yescharacteristic
213C2×C13×C4⋊C4C2311yescharacteristic
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C22⋊C4C2311yescharacteristic
216C2×C13×C22⋊C4C2311yescharacteristic
217C2×C13×C22⋊C4C2311yescharacteristic
218C2×C13×C22⋊C4C2311yescharacteristic
219C2×C13×C22⋊C4C2311yescharacteristic
220C2×C13×C22⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C42×C13C2311yescharacteristic
228C2×C42×C13C2311yescharacteristic
229C2×C22⋊Dic13C2311yescharacteristic
230C2×C22⋊Dic13C2311yescharacteristic
231C2×C22⋊Dic13C2311yescharacteristic
232C2×C22⋊Dic13C2311yescharacteristic
233C2×C22⋊Dic13C2311yescharacteristic
234C2×C22⋊Dic13C2311yescharacteristic
235C2×C22⋊Dic13C2311yescharacteristic
236C2×C22⋊Dic13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243#88193C2×C418yescomplemented
244#88193C2×C418yescomplemented
245#88191C2×C418yescomplemented
246#88191C2×C418yescomplemented
247D4×Dic13—42no—
248D4×Dic13C2×C418yescomplemented
249D4×Dic13C2×C418yescomplemented
250C4×C22⋊D13—42no—
251C4×C22⋊D13—42no—
252C4×C22⋊D13—42no—
253C2×#6103C2×C418yescomplemented
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274#88180—42no—
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282#88178C2×C418yescomplemented
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×C4×Dic13C2311yescharacteristic
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317#88152C2×C418yescomplemented
318#88152C2×C418yescomplemented
319#88141—42no—
320#88140C2×C418yescomplemented
321#88140C2×C418yescomplemented
322#88139C2×C418yescomplemented
323#88139C2×C418yescomplemented
324#88135—42no—
325C22⋊C4×D13—42no—
326C22⋊C4×D13—42no—
327#88131—42no—
328#88131—42no—
329#88131—42no—
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
370#34446—131nomaximal, Sylow
371C24×C13C2411yescharacteristic
372C24×C13C2411yescharacteristic
373C24×C13C2411yescharacteristic
374C23×D13—41no—
375C23×D13—41no—
376C23×D13—41no—
377C23×D13—41no—
378C23×D13—41no—
379C23×D13—41no—
380C23×D13C22×C414yes—
381C23×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C2×D4×C13—41no—
384C2×D4×C13—41no—
385C2×D4×C13—41no—
386C2×D4×C13—41no—
387C2×D4×C13—41no—
388C2×D4×C13—41no—
389C2×D4×C13C22×C414yes—
390C2×D4×C13C22×C414yes—
391C2×D4×C13C22×C414yes—
392C22×C4×C13—41no—
393C22×C4×C13—41no—
394C22×C4×C13—41no—
395C22×C4×C13—41no—
396C22×C4×C13—41no—
397C22×C4×C13—41no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13C22×C414yes—
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C2×C22⋊D13—41no—
414C2×C22⋊D13—41no—
415C2×C22⋊D13—41no—
416C2×C22⋊D13—41no—
417C2×C22⋊D13—41no—
418C2×C22⋊D13—41no—
419C2×C22⋊D13—41no—
420C2×C22⋊D13—41no—
421C2×C22⋊D13C22×C414yes—
422C2×C22⋊D13C22×C414yes—
423C2×C22⋊D13C22×C414yes—
424C2×C22⋊D13C22×C414yes—
425C22×Dic13—22no—
426C22×Dic13—41no—
427C22×Dic13—41no—
428C22×Dic13—41no—
429C22×Dic13—41no—
430C22×Dic13—41no—
431C22×Dic13—41no—
432C22×Dic13—41no—
433C22×Dic13—41no—
434C22×Dic13—41no—
435C22×Dic13—41no—
436C22×Dic13—41no—
437C22×Dic13C22×C414yes—
438C22×Dic13C22×C414yes—
439C22×Dic13C22×C414yes—
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C2×C4×D13—22no—
455C2×C4×D13—22no—
456C2×C4×D13—41no—
457C2×C4×D13—41no—
458C2×C4×D13—41no—
459C2×C4×D13—41no—
460C2×C4×D13—41no—
461C2×C4×D13—41no—
462C2×C4×D13—41no—
463C2×C4×D13—41no—
464C2×C4×D13—41no—
465C2×C4×D13—41no—
466C2×Dic26—41no—
467C2×Dic26—41no—
468C2×Dic26C22×C414yes—
469C13×C4⋊C4—41no—
470C13×C4⋊C4—41no—
471C13×C4⋊C4—41no—
472C13×C4⋊C4—41no—
473C13×C4⋊C4C22×C414yes—
474C13×C22⋊C4—41no—
475C13×C22⋊C4—41no—
476C13×C22⋊C4—41no—
477C13×C22⋊C4—41no—
478C13×C22⋊C4—41no—
479C13×C22⋊C4—41no—
480C13×C22⋊C4—41no—
481C13×C22⋊C4—41no—
482C13×C22⋊C4—41no—
483C13×C22⋊C4—41no—
484C13×C22⋊C4C22×C414yes—
485C13×C22⋊C4C22×C414yes—
486C42×C13—41no—
487C42×C13—41no—
488C22⋊Dic13—22no—
489C22⋊Dic13—22no—
490C22⋊Dic13—22no—
491C22⋊Dic13—22no—
492C22⋊Dic13—22no—
493C22⋊Dic13—41no—
494C22⋊Dic13—41no—
495C22⋊Dic13—41no—
496C22⋊Dic13—41no—
497C22⋊Dic13—41no—
498C22⋊Dic13C22×C414yes—
499C22⋊Dic13C22×C414yes—
500C22⋊Dic13C22×C414yes—
501C22⋊Dic13C22×C414yes—
502#6103—22no—
503#6103—22no—
504#6103—41no—
505#6103—41no—
506#6103—41no—
507#6103—41no—
508#6103—41no—
509#6103—41no—
510#6103—41no—
511#6103—41no—
512#6103—41no—
513#6103—41no—
514#6103C22×C414yes—
515#6103C22×C414yes—
516#6103C22×C414yes—
517#6103C22×C414yes—
518#6103C22×C414yes—
519#6103C22×C414yes—
520#6103C22×C414yes—
521#6103C22×C414yes—
522C4⋊Dic13—22no—
523C4⋊Dic13—41no—
524C4⋊Dic13—41no—
525C4⋊Dic13—41no—
526C4⋊Dic13C22×C414yes—
527C4⋊Dic13C22×C414yes—
528C4⋊Dic13C22×C414yes—
529#6101—22no—
530#6101—22no—
531#6101—41no—
532#6101—41no—
533#6101—41no—
534#6101—41no—
535#6101—41no—
536#6101—41no—
537#6101—41no—
538#6101—41no—
539#6101—41no—
540#6101—41no—
541#6101C22×C414yes—
542#6101C22×C414yes—
543C4×Dic13—22no—
544C4×Dic13—22no—
545C4×Dic13—22no—
546C4×Dic13—22no—
547C4×Dic13—22no—
548C4×Dic13—41no—
549C4×Dic13—41no—
550C4×Dic13—41no—
551C4×Dic13—41no—
552C4×Dic13—41no—
553C4×Dic13—41no—
554C4×Dic13—41no—
555C4×Dic13—41no—
556C4×Dic13—41no—
557C4×Dic13—41no—
558C4×Dic13—41no—
559C4×Dic13—41no—
560C4×Dic13—41no—
561C4×Dic13C22×C414yes—
562C4×Dic13C22×C414yes—
563C2×#538—131no—
564#2383—131no—
565#2377D1311yescharacteristic, complemented
566#2376—131no—
567#2375—131no—
568#2374—131no—
569#2373—131no—
570#2364—131no—
571#2363—131no—
572#2363—131no—
573#2359—131no—
574#2359—131no—
575#2358—131no—
576#2354—131no—
577#2353—131no—
578#2342—131no—
579#2342—131no—
580#2337—131no—
581#2337—131no—
582#2334—131no—
583#2332—131no—
584#2326—131no—
585#2325—131no—
586#2324—131no—
587#2323—131no—
588#2321—131no—
589#2321—131no—
590#2318—131no—
591C4×#126—131no—
592C4×#124—131no—
593#2293—131no—
594C23×C13—21no—
595C23×C13—21no—
596C23×C13—21no—
597C23×C13—21no—
598C23×C13—21no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13C23×C412yes—
613C23×C13C23×C412yes—
614C23×C13C23×C412yes—
615C23×C13C2511yescharacteristic
616C22×D13—21no—
617C22×D13—21no—
618C22×D13—21no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—44no—
629C22×D13—44no—
630C22×D13—44no—
631C22×D13—82no—
632C22×D13—82no—
633C22×D13—82no—
634C22×D13—82no—
635C22×D13C23×C412yes—
636C22×D13C23×C412yes—
637D4×C13—44no—
638D4×C13—44no—
639D4×C13—44no—
640C2×C4×C13—21no—
641C2×C4×C13—21no—
642C2×C4×C13—21no—
643C2×C4×C13—21no—
644C2×C4×C13—21no—
645C2×C4×C13—21no—
646C2×C4×C13—21no—
647C2×C4×C13—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
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—44no—
673C2×C4×C13—82no—
674C2×C4×C13—82no—
675C2×C4×C13C23×C412yes—
676C2×C4×C13C23×C412yes—
677C2×C4×C13C23×C412yes—
678C2×C4×C13C23×C412yes—
679C22⋊D13—44no—
680C22⋊D13—44no—
681C22⋊D13—44no—
682C22⋊D13—44no—
683C2×Dic13—21no—
684C2×Dic13—21no—
685C2×Dic13—21no—
686C2×Dic13—21no—
687C2×Dic13—21no—
688C2×Dic13—21no—
689C2×Dic13—21no—
690C2×Dic13—21no—
691C2×Dic13—21no—
692C2×Dic13—21no—
693C2×Dic13—21no—
694C2×Dic13—21no—
695C2×Dic13—21no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
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—44no—
718C2×Dic13—44no—
719C2×Dic13—44no—
720C2×Dic13—82no—
721C2×Dic13—82no—
722C2×Dic13C23×C412yes—
723C2×Dic13C23×C412yes—
724C2×Dic13C23×C412yes—
725C2×Dic13C23×C412yes—
726C2×Dic13C23×C412yes—
727C2×Dic13C23×C412yes—
728C2×Dic13H(5,𝔽2)12yes—
729C2×Dic13H(5,𝔽2)12yes—
730C4×D13—82no—
731C4×D13—82no—
732C4×D13—82no—
733C4×D13—82no—
734Dic26—44no—
735#538—1316no—
736C2×#126—131no—
737C2×#126—131no—
738C2×#124—131no—
739C2×#124—131no—
740C2×#123—131no—
741C2×#123—131no—
742C2×C22⋊Q8—131no—
743C2×#121—131no—
744C2×#121—131no—
745C2×#121C2×D1311yescharacteristic
746C2×#120—131no—
747C2×#120—131no—
748C2×C4×Q8—131no—
749C2×C4×D4—131no—
750C2×C4×D4—131no—
751C2×C4×D4—131no—
752C2×C4×D4—131no—
753C2×C4×D4—131no—
754C2×C4×D4—131no—
755C2×C4×D4—131no—
756C2×#117—131no—
757C2×#117—131no—
758C2×#117—131no—
759C2×#117—131no—
760C22×C22⋊C4—131no—
761C22×C22⋊C4—131no—
762C22×C22⋊C4—131no—
763#391—131no—
764#391—131no—
765#391—131no—
766#390—131no—
767#390—131no—
768#390—131no—
769#390—131no—
770#390—131no—
771#390—131no—
772#390—131no—
773#390C2×D1311yescharacteristic
774#390C2×D1311yescharacteristic
775#389—131no—
776#389—131no—
777#389—131no—
778#389—131no—
779#389—131no—
780#389—131no—
781#388—131no—
782#388—131no—
783#388—131no—
784#388—131no—
785#388—131no—
786#388—131no—
787#388—131no—
788#388—131no—
789#388—131no—
790#388—131no—
791#388—131no—
792#388—131no—
793#388—131no—
794#388—131no—
795#388—131no—
796#388—131no—
797#388—131no—
798#388—131no—
799#388—131no—
800#388—131no—
801#388—131no—
802#388—131no—
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388—131no—
810#388—131no—
811#388C2×D1311yescharacteristic, complemented
812#388C2×D1311yescharacteristic, complemented
813#387—131no—
814#387—131no—
815#387—131no—
816#387—131no—
817#387—131no—
818#387—131no—
819#387—131no—
820#387—131no—
821#387—131no—
822#387—131no—
823#387C2×D1311yescharacteristic, complemented
824#387C2×D1311yescharacteristic, complemented
825#386—131no—
826#386—131no—
827#386—131no—
828#386—131no—
829#386—131no—
830#386—131no—
831#386—131no—
832#386—131no—
833#386—131no—
834#386—131no—
835#386C2×D1311yescharacteristic
836#386C2×D1311yescharacteristic
837#386C2×D1311yescharacteristic, complemented
838#386C2×D1311yescharacteristic, complemented
839#385—131no—
840#385—131no—
841#385—131no—
842#385—131no—
843#385—131no—
844#385—131no—
845#385—131no—
846#385—131no—
847#385—131no—
848#385—131no—
849#385C2×D1311yescharacteristic, complemented
850#385C2×D1311yescharacteristic, complemented
851#384—131no—
852#383—131no—
853#383—131no—
854#382—131no—
855#381—131no—
856#381C2×D1311yescharacteristic
857#380—131no—
858#380—131no—
859#380—131no—
860#380C2×D1311yescharacteristic
861#379—131no—
862#379—131no—
863C4×C4⋊C4—131no—
864C4×C4⋊C4—131no—
865C4×C4⋊C4—131no—
866C4×C4⋊C4—131no—
867C4×C4⋊C4—131no—
868C4×C4⋊C4—131no—
869C4×C4⋊C4—131no—
870C4×C4⋊C4—131no—
871C4×C22⋊C4—131no—
872C4×C22⋊C4—131no—
873C4×C22⋊C4—131no—
874C4×C22⋊C4—131no—
875C4×C22⋊C4—131no—
876C4×C22⋊C4—131no—
877C4×C22⋊C4—131no—
878C4×C22⋊C4—131no—
879C4×C22⋊C4—131no—
880C4×C22⋊C4—131no—
881C4×C22⋊C4—131no—
882C4×C22⋊C4—131no—
883C4×C22⋊C4—131no—
884C4×C22⋊C4—131no—
885C4×C22⋊C4—131no—
886C4×C22⋊C4—131no—
887#376—131no—
888C2×#95—131no—
889C2×#95—131no—
890C43—131no—
891C22×C13—22no—
892C22×C13—22no—
893C22×C13—22no—
894C22×C13—22no—
895C22×C13—22no—
896C22×C13—22no—
897C22×C13—22no—
898C22×C13—22no—
899C22×C13—22no—
900C22×C13—41no—
901C22×C13—41no—
902C22×C13—41no—
903C22×C13—41no—
904C22×C13—41no—
905C22×C13—41no—
906C22×C13—41no—
907C22×C13—41no—
908C22×C13—41no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13—41no—
912C22×C13C24×C411yescharacteristic
913C22×C13C2×H(5,𝔽2)11yescharacteristic
914C22×C13C2×H(5,𝔽2)11yescharacteristic
915C22×C13#58511yescharacteristic
916C22×C13#58511yescharacteristic
917C22×C13#58511yescharacteristic
918C22×C13#58511yescharacteristic
919C2×D13—22no—
920C2×D13—22no—
921C2×D13—22no—
922C2×D13—22no—
923C2×D13—22no—
924C2×D13—22no—
925C2×D13—41no—
926C2×D13—41no—
927C2×D13—41no—
928C2×D13—41no—
929C2×D13—41no—
930C2×D13—41no—
931C2×D13—41no—
932C2×D13—41no—
933C2×D13—88no—
934C4×C13—22no—
935C4×C13—22no—
936C4×C13—22no—
937C4×C13—22no—
938C4×C13—41no—
939C4×C13—41no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946Dic13—22no—
947Dic13—22no—
948Dic13—22no—
949Dic13—22no—
950Dic13—22no—
951Dic13—22no—
952Dic13—22no—
953Dic13—22no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960C25—131no—
961C22×Q8—131no—
962C22×D4—131no—
963C22×D4—131no—
964C22×D4—131no—
965C22×D4—131no—
966C22×D4C22×D1311yescharacteristic
967C22×D4C22×D1311yescharacteristic
968C22×D4C22×D1311yescharacteristic
969C23×C4—131no—
970C23×C4—131no—
971C23×C4—131no—
972C23×C4—131no—
973C23×C4—131no—
974C23×C4—131no—
975C23×C4—131no—
976C23×C4—131no—
977C23×C4—131no—
978C23×C4C22×D1311yescharacteristic
979C23×C4C22×D1311yescharacteristic
980C23×C4C22×D1311yescharacteristic
981#126—138no—
982#126—138no—
983#124—138no—
984#124—138no—
985#123—138no—
986#123—138no—
987C22⋊Q8—138no—
988#121—138no—
989#121—138no—
990#121C4×D1318yescomplemented
991#120—138no—
992#120—138no—
993C4×Q8—522no—
994C4×D4—138no—
995C4×D4—138no—
996C4×D4—522no—
997C4×D4—522no—
998C4×D4—522no—
999C4×D4—522no—
1000C4×D4—522no—
1001#117—522no—
1002#117—522no—
1003#117—522no—
1004#117—522no—
1005C2×C4⋊C4—131no—
1006C2×C4⋊C4—131no—
1007C2×C4⋊C4—131no—
1008C2×C4⋊C4—131no—
1009C2×C4⋊C4—131no—
1010C2×C4⋊C4—131no—
1011C2×C4⋊C4—131no—
1012C2×C4⋊C4—131no—
1013C2×C4⋊C4—131no—
1014C2×C4⋊C4—131no—
1015C2×C4⋊C4—131no—
1016C2×C4⋊C4—131no—
1017C2×C4⋊C4—131no—
1018C2×C4⋊C4—131no—
1019C2×C4⋊C4—131no—
1020C2×C4⋊C4—131no—
1021C2×C4⋊C4—131no—
1022C2×C4⋊C4—131no—
1023C2×C4⋊C4—131no—
1024C2×C4⋊C4—131no—
1025C2×C4⋊C4—131no—
1026C2×C4⋊C4C22×D1311yescharacteristic
1027C2×C4⋊C4C22×D1311yescharacteristic
1028C2×C4⋊C4C22×D1311yescharacteristic
1029C2×C4⋊C4C22×D1311yescharacteristic
1030C2×C4⋊C4C22×D1311yescharacteristic
1031C2×C22⋊C4—131no—
1032C2×C22⋊C4—131no—
1033C2×C22⋊C4—131no—
1034C2×C22⋊C4—131no—
1035C2×C22⋊C4—138no—
1036C2×C22⋊C4—131no—
1037C2×C22⋊C4—131no—
1038C2×C22⋊C4—131no—
1039C2×C22⋊C4—131no—
1040C2×C22⋊C4—131no—
1041C2×C22⋊C4—131no—
1042C2×C22⋊C4—131no—
1043C2×C22⋊C4—131no—
1044C2×C22⋊C4—131no—
1045C2×C22⋊C4—131no—
1046C2×C22⋊C4—131no—
1047C2×C22⋊C4—131no—
1048C2×C22⋊C4—131no—
1049C2×C22⋊C4—131no—
1050C2×C22⋊C4—131no—
1051C2×C22⋊C4—131no—
1052C2×C22⋊C4—131no—
1053C2×C22⋊C4—131no—
1054C2×C22⋊C4—131no—
1055C2×C22⋊C4—131no—
1056C2×C22⋊C4—131no—
1057C2×C22⋊C4—131no—
1058C2×C22⋊C4—131no—
1059C2×C22⋊C4—131no—
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—522no—
1067C2×C22⋊C4—522no—
1068C2×C22⋊C4C22×D1311yescharacteristic
1069C2×C22⋊C4C22×D1311yescharacteristic
1070C2×C22⋊C4C22×D1311yescharacteristic
1071C2×C22⋊C4C22×D1311yescharacteristic
1072C2×C22⋊C4C22×D1311yescharacteristic
1073C2×C22⋊C4C22×D1311yescharacteristic
1074C2×C22⋊C4C22×D1311yescharacteristic
1075C2×C22⋊C4C22×D1311yescharacteristic
1076C2×C22⋊C4C22×D1311yescharacteristic
1077C2×C22⋊C4C22×D1311yescharacteristic
1078C2×C22⋊C4C22×D1311yescharacteristic
1079C2×C22⋊C4C22×D1311yescharacteristic
1080C2×C42—131no—
1081C2×C42—131no—
1082C2×C42—131no—
1083C2×C42—131no—
1084C2×C42—131no—
1085C2×C42—131no—
1086C2×C42—131no—
1087C2×C42—131no—
1088C2×C42—131no—
1089C2×C42—131no—
1090C2×C42—131no—
1091C2×C42—131no—
1092C2×C42—131no—
1093C2×C42—131no—
1094C2×C42—131no—
1095C2×C42—131no—
1096C2×C42—131no—
1097C2×C42—131no—
1098C2×C42—131no—
1099C2×C42—131no—
1100C2×C42C22×D1311yescharacteristic
1101C2×C42C22×D1311yescharacteristic
1102#95—131no—
1103#95—131no—
1104#95—131no—
1105#95—131no—
1106#95—131no—
1107#95—131no—
1108#95—131no—
1109#95—131no—
1110#95—131no—
1111#95—131no—
1112#95—131no—
1113#95—131no—
1114#95—131no—
1115#95—131no—
1116#95—131no—
1117#95—131no—
1118#95—131no—
1119#95—131no—
1120#95—131no—
1121#95—131no—
1122#95—131no—
1123#95—131no—
1124#95—131no—
1125#95—131no—
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95C22×D1311yescharacteristic
1133#95C22×D1311yescharacteristic
1134#95C22×D1311yescharacteristic
1135#95C22×D1311yescharacteristic
1136#95C22×D1311yescharacteristic
1137#95C22×D1311yescharacteristic
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142C2×C13—42no—
1143C2×C13—42no—
1144C2×C13—42no—
1145C2×C13#342811yescharacteristic
1146C2×C13C4×H(5,𝔽2)11yescharacteristic
1147C2×C13C4×H(5,𝔽2)11yescharacteristic
1148C2×C13#354511yescharacteristic
1149C2×C13#354611yescharacteristic
1150C2×C13#356011yescharacteristic
1151C2×C13#356611yescharacteristic
1152D13—42no—
1153D13—42no—
1154C24—131no—
1155C24—131no—
1156C24—134no—
1157C24—521no—
1158C24—521no—
1159C24—521no—
1160C24—521no—
1161C24—521no—
1162C24—521no—
1163C24C23×D1311yescharacteristic
1164C24C23×D1311yescharacteristic
1165C24C23×D1311yescharacteristic
1166C2×Q8—134no—
1167C2×Q8—521no—
1168C2×Q8—521no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—134no—
1176C2×D4—134no—
1177C2×D4—134no—
1178C2×D4—134no—
1179C2×D4—521no—
1180C2×D4—521no—
1181C2×D4—521no—
1182C2×D4—521no—
1183C2×D4—521no—
1184C2×D4—521no—
1185C2×D4—521no—
1186C2×D4—521no—
1187C2×D4C2×C4×D1314yes—
1188C2×D4C2×C4×D1314yes—
1189C2×D4C2×C4×D1314yes—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—131no—
1199C22×C4—131no—
1200C22×C4—131no—
1201C22×C4—131no—
1202C22×C4—131no—
1203C22×C4—131no—
1204C22×C4—131no—
1205C22×C4—131no—
1206C22×C4—134no—
1207C22×C4—134no—
1208C22×C4—134no—
1209C22×C4—131no—
1210C22×C4—131no—
1211C22×C4—131no—
1212C22×C4—131no—
1213C22×C4—131no—
1214C22×C4—131no—
1215C22×C4—262no—
1216C22×C4—262no—
1217C22×C4—262no—
1218C22×C4—521no—
1219C22×C4—521no—
1220C22×C4—521no—
1221C22×C4—521no—
1222C22×C4—521no—
1223C22×C4—521no—
1224C22×C4—521no—
1225C22×C4—521no—
1226C22×C4—521no—
1227C22×C4—521no—
1228C22×C4—521no—
1229C22×C4—521no—
1230C22×C4—521no—
1231C22×C4—521no—
1232C22×C4—521no—
1233C22×C4—521no—
1234C22×C4—521no—
1235C22×C4—521no—
1236C22×C4—521no—
1237C22×C4—521no—
1238C22×C4—521no—
1239C22×C4C2×C4×D1314yes—
1240C22×C4C23×D1311yescharacteristic
1241C22×C4C23×D1311yescharacteristic
1242C22×C4C23×D1311yescharacteristic
1243C22×C4C23×D1311yescharacteristic
1244C22×C4C23×D1311yescharacteristic
1245C22×C4C23×D1311yescharacteristic
1246C22×C4C23×D1311yescharacteristic
1247C22×C4C23×D1311yescharacteristic
1248C22×C4C23×D1311yescharacteristic
1249C22×C4C23×D1311yescharacteristic
1250C22×C4C23×D1311yescharacteristic
1251C22×C4C23×D1311yescharacteristic
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—134no—
1257C4⋊C4—134no—
1258C4⋊C4—134no—
1259C4⋊C4—134no—
1260C4⋊C4—134no—
1261C4⋊C4—262no—
1262C4⋊C4—262no—
1263C4⋊C4—262no—
1264C4⋊C4—521no—
1265C4⋊C4—521no—
1266C4⋊C4—521no—
1267C4⋊C4—521no—
1268C4⋊C4—521no—
1269C4⋊C4—521no—
1270C4⋊C4—521no—
1271C4⋊C4—521no—
1272C4⋊C4—521no—
1273C4⋊C4—521no—
1274C4⋊C4—521no—
1275C4⋊C4—521no—
1276C4⋊C4—521no—
1277C4⋊C4C2×C4×D1314yes—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—134no—
1289C22⋊C4—134no—
1290C22⋊C4—134no—
1291C22⋊C4—134no—
1292C22⋊C4—134no—
1293C22⋊C4—134no—
1294C22⋊C4—134no—
1295C22⋊C4—134no—
1296C22⋊C4—134no—
1297C22⋊C4—134no—
1298C22⋊C4—134no—
1299C22⋊C4—134no—
1300C22⋊C4—262no—
1301C22⋊C4—262no—
1302C22⋊C4—262no—
1303C22⋊C4—262no—
1304C22⋊C4—262no—
1305C22⋊C4—262no—
1306C22⋊C4—262no—
1307C22⋊C4—521no—
1308C22⋊C4—521no—
1309C22⋊C4—521no—
1310C22⋊C4—521no—
1311C22⋊C4—521no—
1312C22⋊C4—521no—
1313C22⋊C4—521no—
1314C22⋊C4—521no—
1315C22⋊C4—521no—
1316C22⋊C4—521no—
1317C22⋊C4—521no—
1318C22⋊C4—521no—
1319C22⋊C4—521no—
1320C22⋊C4—521no—
1321C22⋊C4—521no—
1322C22⋊C4C2×C4×D1314yes—
1323C22⋊C4C2×C4×D1314yes—
1324C42—41no—
1325C42—41no—
1326C42—134no—
1327C42—134no—
1328C42—262no—
1329C42—262no—
1330C42—262no—
1331C42—262no—
1332C42—262no—
1333C42—521no—
1334C42—521no—
1335C42—521no—
1336C42—521no—
1337C42—521no—
1338C42—521no—
1339C42—521no—
1340C42—521no—
1341C42—521no—
1342C42—521no—
1343C42—521no—
1344C42—521no—
1345C42—521no—
1346C13#3444611yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—132no—
1366C23—132no—
1367C23—261no—
1368C23—261no—
1369C23—261no—
1370C23—261no—
1371C23—261no—
1372C23—261no—
1373C23—261no—
1374C23—261no—
1375C23—261no—
1376C23—261no—
1377C23—261no—
1378C23—261no—
1379C23—524no—
1380C23—524no—
1381C23—524no—
1382C23—1042no—
1383C23—1042no—
1384C23—1042no—
1385C23—1042no—
1386C23C22×C4×D1312yes—
1387C23C22×C4×D1312yes—
1388C23C22×C4×D1312yes—
1389C23C24×D1311yescharacteristic
1390Q8—524no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—524no—
1395D4—524no—
1396D4—524no—
1397D4—524no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—44no—
1431C2×C4—82no—
1432C2×C4—82no—
1433C2×C4—132no—
1434C2×C4—132no—
1435C2×C4—132no—
1436C2×C4—132no—
1437C2×C4—132no—
1438C2×C4—132no—
1439C2×C4—132no—
1440C2×C4—132no—
1441C2×C4—261no—
1442C2×C4—261no—
1443C2×C4—261no—
1444C2×C4—261no—
1445C2×C4—261no—
1446C2×C4—261no—
1447C2×C4—261no—
1448C2×C4—261no—
1449C2×C4—261no—
1450C2×C4—261no—
1451C2×C4—261no—
1452C2×C4—261no—
1453C2×C4—261no—
1454C2×C4—261no—
1455C2×C4—261no—
1456C2×C4—261no—
1457C2×C4—261no—
1458C2×C4—261no—
1459C2×C4—261no—
1460C2×C4—261no—
1461C2×C4—261no—
1462C2×C4—261no—
1463C2×C4—261no—
1464C2×C4—261no—
1465C2×C4—261no—
1466C2×C4—261no—
1467C2×C4—261no—
1468C2×C4—261no—
1469C2×C4—261no—
1470C2×C4—261no—
1471C2×C4—261no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—524no—
1476C2×C4—524no—
1477C2×C4—524no—
1478C2×C4—1042no—
1479C2×C4—1042no—
1480C2×C4—1042no—
1481C2×C4—1042no—
1482C2×C4—1042no—
1483C2×C4—1042no—
1484C2×C4C22×C4×D1312yes—
1485C2×C4C22×C4×D1312yes—
1486C2×C4C22×C4×D1312yes—
1487C2×C4C22×C4×D1312yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—262no—
1510C22—262no—
1511C22—262no—
1512C22—262no—
1513C22—262no—
1514C22—262no—
1515C22—521no—
1516C22—521no—
1517C22—521no—
1518C22—521no—
1519C22—521no—
1520C22—521no—
1521C22—521no—
1522C22—521no—
1523C22—1048no—
1524C22C23×C4×D1311yescharacteristic
1525C22D13×H(5,𝔽2)11yescharacteristic
1526C22D13×H(5,𝔽2)11yescharacteristic
1527C22#1171965011yescharacteristic
1528C22#1171965011yescharacteristic
1529C22#1171965011yescharacteristic
1530C22#1171965211yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—262no—
1544C4—262no—
1545C4—262no—
1546C4—262no—
1547C4—262no—
1548C4—262no—
1549C4—262no—
1550C4—262no—
1551C4—521no—
1552C4—521no—
1553C4—521no—
1554C4—521no—
1555C4—521no—
1556C4—521no—
1557C2—42no—
1558C2—42no—
1559C2—42no—
1560C2—522no—
1561C2—522no—
1562C2#1312803411yescharacteristic
1563C2#1312804011yescharacteristic
1564C2#1312804211yescharacteristic
1565C2#1312918611yescharacteristic
1566C2#1312919911yescharacteristic
1567C2#1312938611yescharacteristic
1568C2#1312950111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2377C2
socle, cosocleC23×C13C25
prime radicalC2×#11719322C2
hypercenter#2377D13
hypocenterC13#34446
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2377

Complements

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

NH ≅ G/Ntype
2. #13118026C2semidirect
3. #13117982C2semidirect
4. #13117973C2semidirect
5. #13117966C2semidirect
6. #13117962C2semidirect
7. #13117884C2semidirect
8. #13117878C2semidirect
9. #13117877C2semidirect
10. #13117826C2semidirect
11. #13117826C2semidirect
12. #13117819C2semidirect
13. #13117784C2semidirect
14. #13117774C2semidirect
15. #13117682C2semidirect
16. #13117678C2semidirect
17. #13117650C2semidirect
18. #13117647C2semidirect
19. #13117616C2semidirect
20. #13117589C2semidirect
21. #13117542C2semidirect
22. #13117537C2semidirect
23. #13117526C2semidirect
24. #13117514C2semidirect
25. #13117495C2semidirect
26. #13117492C2semidirect
27. #13117462C2semidirect
28. #13117386C2semidirect
29. #13117377C2semidirect
30. #13117298C2semidirect
31. C13×#2377C2semidirect
39. C2×D4×Dic13C22semidirect
46. #11719322C4semidirect
49. C2×#88141C22semidirect
58. C2×#88131C22semidirect
59. C2×#88131C22semidirect
62. C13×#388C22semidirect
63. C13×#388C22semidirect
64. C13×#387C22semidirect
65. C13×#387C22semidirect
68. C13×#386C22semidirect
69. C13×#386C22semidirect
70. C13×#385C22semidirect
71. C13×#385C22semidirect
76. #11718882C22semidirect
80. #11718871C22semidirect
82. C4×C22⋊Dic13C22semidirect
83. C2×#88071C22semidirect
84. C2×#88071C22semidirect
93. #11718646C22semidirect
94. #11718637C22semidirect
95. C4⋊C4×Dic13C22semidirect
96. C4⋊C4×Dic13C22semidirect
97. C4⋊C4×Dic13C22semidirect
98. C4⋊C4×Dic13C22semidirect
99. #11718635C22semidirect
100. #11718634C22semidirect
101. #11718634C22semidirect
115. #11718612C22semidirect
116. #11718612C22semidirect
117. #11718607C22semidirect
122. #11718606C22semidirect
123. #11718606C22semidirect
128. #11718605C22semidirect
129. #11718605C22semidirect
132. #11718603C22semidirect
133. #11718603C22semidirect
135. C22⋊C4×Dic13C22semidirect
136. C22⋊C4×Dic13C22semidirect
137. C22⋊C4×Dic13C22semidirect
138. C22⋊C4×Dic13C22semidirect
139. C22⋊C4×Dic13C22semidirect
144. C4×C4⋊Dic13C22semidirect
145. C4×#6101C22semidirect
146. C42×Dic13C22semidirect
147. #11718589C22semidirect
168. #11718316C22semidirect
169. #11718316C22semidirect
170. #11718315C22semidirect
171. #11718315C22semidirect
172. #11718315C22semidirect
173. #11718315C22semidirect
174. #11718314C22semidirect
175. #11718314C22semidirect
176. #11718313C22semidirect
177. #11718313C22semidirect
178. #11718312C22semidirect
179. #11718312C22semidirect
180. #11718311C22semidirect
181. #11718310C22semidirect
182. #11718310C22semidirect
183. #11718309C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
209. C13×#121C2×C4semidirect
243. #88193C2×C4semidirect
244. #88193C2×C4semidirect
245. #88191C2×C4semidirect
246. #88191C2×C4semidirect
248. D4×Dic13C2×C4semidirect
249. D4×Dic13C2×C4semidirect
253. C2×#6103C2×C4semidirect
282. #88178C2×C4semidirect
317. #88152C2×C4semidirect
318. #88152C2×C4semidirect
320. #88140C2×C4semidirect
321. #88140C2×C4semidirect
322. #88139C2×C4semidirect
323. #88139C2×C4semidirect
565. #2377D13semidirect
811. #388C2×D13semidirect
812. #388C2×D13semidirect
823. #387C2×D13semidirect
824. #387C2×D13semidirect
837. #386C2×D13semidirect
838. #386C2×D13semidirect
849. #385C2×D13semidirect
850. #385C2×D13semidirect
990. #121C4×D13semidirect
1346. C13#34446semidirect

Maximal subgroups

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

subgroupindex
C2×#117193222
#131180262
#131179822
#131179732
#131179662
#131179622
#131178842
#131178782
#131178772
#131178262
#131178192
#131177842
#131177742
#131176822
#131176782
#131176502
#131176472
#131176162
#131175892
#131175422
#131175372
#131175262
#131175142
#131174952
#131174922
#131174622
#131173862
#131173772
#131172982
C13×#23772
#3444613