Finite Group Databasebeta

← #16036831

Subgroups — #16036831

Order 3328.

2254 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#13123153C211yesmaximal, characteristic, complemented
2#13123133C211yesmaximal, characteristic, complemented
3#13123131C211yesmaximal, characteristic, complemented
4#13123117C211yesmaximal, characteristic, complemented
5#13121012C211yesmaximal, characteristic, complemented
6#13120968C211yesmaximal, characteristic, complemented
7#13120903C211yesmaximal, characteristic, complemented
8#13120830C211yesmaximal, characteristic, complemented
9#13120172C211yesmaximal, characteristic, complemented
10#13120142C211yesmaximal, characteristic, complemented
11#13120104C211yesmaximal, characteristic, complemented
12#13120080C211yesmaximal, characteristic, complemented
13#13119967C211yesmaximal, characteristic, complemented
14#13119937C211yesmaximal, characteristic, complemented
15#13119905C211yesmaximal, characteristic, complemented
16#13119890C211yesmaximal, characteristic, complemented
17#13119390C211yesmaximal, characteristic, complemented
18#13118962C211yesmaximal, characteristic, complemented
19#13118580C211yesmaximal, characteristic, complemented
20#13118514C211yesmaximal, characteristic, complemented
21#13118448C211yesmaximal, characteristic, complemented
22#13118366C211yesmaximal, characteristic, complemented
23#13118222C211yesmaximal, characteristic, complemented
24#13118157C211yesmaximal, characteristic, complemented
25#13117649C211yesmaximal, characteristic, complemented
26#13117620C211yesmaximal, characteristic, complemented
27#13117601C211yesmaximal, characteristic, complemented
28#13117596C211yesmaximal, characteristic, complemented
29#13117326C211yesmaximal, characteristic, complemented
30C2×C4×#6103C211yesmaximal, characteristic, complemented
31C4×C13×#123C211yesmaximal, characteristic, complemented
32C22×#6127C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C22×C42×C13C2211yescharacteristic
37C2×#88193C2211yescharacteristic
38C2×#88193C2211yescharacteristic
39C2×#88191C2211yescharacteristic
40C2×#88184C2211yescharacteristic
41C22×#6103C2211yescharacteristic
42C22×#6103C2211yescharacteristic
43C2×#88180C2211yescharacteristic
44C22×C4×Dic13C2211yescharacteristic
45C2×#88152C2211yescharacteristic, complemented
46C2×#88148C2211yescharacteristic
47C2×#88148C2211yescharacteristic
48C2×#88139C2211yescharacteristic, complemented
49C2×#88138C2211yescharacteristic
50C2×#88138C2211yescharacteristic
51C2×#88136C2211yescharacteristic
52C2×#88136C2211yescharacteristic
53C2×#88132C2211yescharacteristic
54C2×#88129C2211yescharacteristic
55C13×#388C2211yescharacteristic, complemented
56C13×#388C2211yescharacteristic, complemented
57C13×#387C2211yescharacteristic, complemented
58C13×#387C2211yescharacteristic, complemented
59C13×#386C2211yescharacteristic
60C13×#385C2211yescharacteristic
61C13×#381C2211yescharacteristic
62C4×C13×C4⋊C4C2211yescharacteristic, complemented
63C4×C13×C4⋊C4C2211yescharacteristic, complemented
64C4×C13×C22⋊C4C2211yescharacteristic
65C4×C13×C22⋊C4C2211yescharacteristic, complemented
66C4×C13×C22⋊C4C2211yescharacteristic, complemented
67#11718881C2211yescharacteristic
68#11718874C2211yescharacteristic
69#11718874C2211yescharacteristic
70#11718874C2211yescharacteristic
71#11718874C2211yescharacteristic
72#11718874C2211yescharacteristic
73#11718874C2211yescharacteristic, complemented
74#11718872C2211yescharacteristic, complemented
75C2×#88071C2211yescharacteristic
76C2×#88071C2211yescharacteristic
77#11718655C2211yescharacteristic
78#11718655C2211yescharacteristic
79#11718655C2211yescharacteristic
80#11718654C2211yescharacteristic, complemented
81#11718652C2211yescharacteristic
82#11718652C2211yescharacteristic, complemented
83#11718651C2211yescharacteristic
84#11718651C2211yescharacteristic
85#11718651C2211yescharacteristic, complemented
86#11718650C2211yescharacteristic
87#11718650C2211yescharacteristic
88#11718650C2211yescharacteristic, complemented
89#11718650C2211yescharacteristic, complemented
90#11718643C2211yescharacteristic, complemented
91#11718642C2211yescharacteristic, complemented
92#11718640C2211yescharacteristic, complemented
93#11718639C2211yescharacteristic, complemented
94#11718622C2211yescharacteristic
95#11718622C2211yescharacteristic
96#11718622C2211yescharacteristic
97#11718621C2211yescharacteristic
98#11718621C2211yescharacteristic, complemented
99#11718620C2211yescharacteristic, complemented
100#11718619C2211yescharacteristic
101#11718619C2211yescharacteristic
102#11718619C2211yescharacteristic
103#11718619C2211yescharacteristic
104#11718618C2211yescharacteristic
105#11718618C2211yescharacteristic
106#11718618C2211yescharacteristic, complemented
107#11718617C2211yescharacteristic
108#11718617C2211yescharacteristic
109#11718617C2211yescharacteristic, complemented
110#11718617C2211yescharacteristic, complemented
111#11718616C2211yescharacteristic
112#11718613C2211yescharacteristic, complemented
113#11718612C2211yescharacteristic, complemented
114#11718611C2211yescharacteristic
115#11718608C2211yescharacteristic, complemented
116#11718607C2211yescharacteristic
117#11718607C2211yescharacteristic
118#11718605C2211yescharacteristic, complemented
119#11718603C2211yescharacteristic
120#11718601C2211yescharacteristic
121#11718601C2211yescharacteristic
122#11718601C2211yescharacteristic
123#11718601C2211yescharacteristic, complemented
124#11718601C2211yescharacteristic, complemented
125#11718601C2211yescharacteristic, complemented
126#11718600C2211yescharacteristic
127#11718600C2211yescharacteristic
128#11718600C2211yescharacteristic, complemented
129#11718600C2211yescharacteristic, complemented
130C4×#6103C2211yescharacteristic
131C4×#6103C2211yescharacteristic
132C4×#6103C2211yescharacteristic
133C4×#6103C2211yescharacteristic
134C4×#6103C2211yescharacteristic
135C4×#6103C2211yescharacteristic
136C4×#6103C2211yescharacteristic
137C4×#6103C2211yescharacteristic
138C4×#6103C2211yescharacteristic, complemented
139C4×#6103C2211yescharacteristic, complemented
140C4×#6103C2211yescharacteristic, complemented
141C4×#6103C2211yescharacteristic, complemented
142#11718598C2211yescharacteristic, complemented
143#11718594C2211yescharacteristic, complemented
144#11718594C2211yescharacteristic, complemented
145#11718590C2211yescharacteristic, complemented
146#11718590C2211yescharacteristic, complemented
147#11718336C2211yescharacteristic, complemented
148#11718336C2211yescharacteristic, complemented
149#11718335C2211yescharacteristic
150#11718334C2211yescharacteristic
151#11718334C2211yescharacteristic
152#11718334C2211yescharacteristic
153#11718333C2211yescharacteristic
154#11718333C2211yescharacteristic
155#11718332C2211yescharacteristic
156#11718332C2211yescharacteristic
157#11718331C2211yescharacteristic, complemented
158#11718331C2211yescharacteristic, complemented
159#11718330C2211yescharacteristic, complemented
160#11718330C2211yescharacteristic, complemented
161#11718328C2211yescharacteristic
162#11718328C2211yescharacteristic
163#11718326C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718325C2211yescharacteristic
172#11718325C2211yescharacteristic
173C13⋊#401C2211yescharacteristic, complemented
174#11718322C2211yescharacteristic, complemented
175#11718321C2211yescharacteristic, complemented
176#11718319C2211yescharacteristic, complemented
177#11718318C2211yescharacteristic, complemented
178#11718317C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718312C2211yescharacteristic, complemented
183#11718311C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C2×#6127—24no—
203C2×#6127—42no—
204C2×#6127—42no—
205C22×D52C2311yescharacteristic
206C22×D52C2311yescharacteristic
207C22×D52C2311yescharacteristic
208C22×D52C2311yescharacteristic
209C22×D52C2311yescharacteristic
210C22×C4×D13—24no—
211C22×C4×D13—42no—
212C22×C4×D13—42no—
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×Dic26C2311yescharacteristic
220C22×Dic26C2311yescharacteristic
221C13×#123—24no—
222C4×D4×C13—42no—
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊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×C42×C13—42no—
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C42×C13C2311yescharacteristic
241C2×C42×C13C2311yescharacteristic
242C2×C42×C13C2311yescharacteristic
243C2×C42×C13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250#88193—42no—
251#88193—42no—
252#88191—42no—
253#88184—24no—
254C2×#6103—24no—
255C2×#6103—24no—
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
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292#88180—42no—
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×C4×Dic13—42no—
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315#88152—42no—
316#88148—24no—
317#88148—42no—
318#88139—42no—
319#88138—24no—
320#88138—42no—
321#88136—42no—
322#88136—42no—
323#88132—42no—
324#88129—24no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
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#35053—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C23×D13—22no—
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—41no—
378C23×D13—41no—
379C23×D13C2411yescharacteristic
380C23×D13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C2×D4×C13—22no—
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C22×C4×C13—22no—
387C22×C4×C13—22no—
388C22×C4×C13—22no—
389C22×C4×C13—22no—
390C22×C4×C13—22no—
391C22×C4×C13—22no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—41no—
395C22×C4×C13—41no—
396C22×C4×C13—41no—
397C22×C4×C13#4114yes—
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
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
411C2×C22⋊D13—22no—
412C2×C22⋊D13—22no—
413C2×C22⋊D13—22no—
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C2×C22⋊D13—22no—
421C2×C22⋊D13—41no—
422C2×C22⋊D13—41no—
423C2×C22⋊D13—41no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13—41no—
426C2×C22⋊D13—41no—
427C2×C22⋊D13—41no—
428C2×C22⋊D13—41no—
429C22×Dic13—22no—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—22no—
433C22×Dic13—22no—
434C22×Dic13—41no—
435C22×Dic13—41no—
436C22×Dic13—41no—
437C22×Dic13—41no—
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450#6127—416no—
451C2×D52—22no—
452C2×D52—22no—
453C2×D52—22no—
454C2×D52—22no—
455C2×D52—22no—
456C2×D52—41no—
457C2×D52—41no—
458C2×D52—41no—
459C2×D52—41no—
460C2×D52—41no—
461C2×D52—41no—
462C2×D52—41no—
463C2×D52—41no—
464C2×D52—41no—
465C2×D52—41no—
466C2×C4×D13—22no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—22no—
472C2×C4×D13—22no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—416no—
484C2×C4×D13#4114yescomplemented
485C2×Dic26—22no—
486C2×Dic26—22no—
487C2×Dic26—41no—
488C2×Dic26—41no—
489C2×Dic26—41no—
490C2×Dic26—41no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4—22no—
493C13×C4⋊C4—22no—
494C13×C4⋊C4—22no—
495C13×C4⋊C4—41no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4—22no—
502C13×C22⋊C4—22no—
503C13×C22⋊C4—41no—
504C42×C13—22no—
505C42×C13—41no—
506C42×C13—41no—
507C42×C13—41no—
508C42×C13—41no—
509C42×C13—41no—
510C42×C13—41no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—22no—
522#6103—22no—
523#6103—22no—
524#6103—22no—
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—22no—
531#6103—22no—
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—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545#6103—41no—
546#6103—41no—
547#6103—41no—
548#6103—41no—
549#6103—41no—
550#6103—41no—
551#6103—41no—
552#6103#4114yescomplemented
553C4⋊Dic13—22no—
554C4⋊Dic13—41no—
555C4⋊Dic13—41no—
556C4⋊Dic13—41no—
557C4⋊Dic13—41no—
558#6101—22no—
559#6101—22no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563#6101—41no—
564#6101—41no—
565#6101—41no—
566#6101—41no—
567#6101—41no—
568C4×Dic13—22no—
569C4×Dic13—22no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2852—131no—
575#2850—131no—
576#2849—131no—
577#2847—131no—
578#2665—131no—
579#2661—131no—
580#2653—131no—
581#2648—131no—
582#2578—131no—
583#2576—131no—
584#2574—131no—
585#2572—131no—
586#2559—131no—
587#2557—131no—
588#2555—131no—
589#2554—131no—
590#2510—131no—
591#2472—131no—
592#2444—131no—
593#2438—131no—
594#2430—131no—
595#2424—131no—
596#2411—131no—
597#2404—131no—
598#2337—131no—
599#2335—131no—
600#2333—131no—
601#2333—131no—
602C4×#123D1311yescharacteristic, complemented
603#2297—131no—
604C2×C4×C22⋊C4—131no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13C2×#4112yes—
617C23×C13H(5,𝔽2)12yes—
618C23×C13H(5,𝔽2)12yes—
619C23×C13C2511yescharacteristic
620C22×D13—28no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—21no—
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—21no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—44no—
650C22×D13—44no—
651C22×D13—44no—
652C22×D13—44no—
653C22×D13C2×#4112yes—
654C22×D13C2×#4112yes—
655D4×C13—44no—
656C2×C4×C13—28no—
657C2×C4×C13—28no—
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—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—82no—
694C2×C4×C13C2×#4112yes—
695C2×C4×C13C2×#4112yes—
696C2×C4×C13C2×#4112yes—
697C2×C4×C13C2×#4112yes—
698C2×C4×C13H(5,𝔽2)12yes—
699C22⋊D13—44no—
700C22⋊D13—44no—
701C22⋊D13—82no—
702C22⋊D13—82no—
703C22⋊D13—82no—
704C22⋊D13—82no—
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—44no—
740C2×Dic13—44no—
741C2×Dic13—44no—
742C2×Dic13C2×#4112yes—
743C2×Dic13C2×#4112yes—
744D52—44no—
745D52—82no—
746D52—82no—
747D52—82no—
748D52—82no—
749C4×D13—44no—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—44no—
755Dic26—44no—
756Dic26—82no—
757C22×#41—131no—
758C24×C4—131no—
759C2×#126—131no—
760C2×#124—131no—
761C2×#124—131no—
762C2×#123—131no—
763C2×#123—131no—
764C2×#123C2×D1311yescharacteristic
765C2×C22⋊Q8—131no—
766C2×#121—131no—
767C2×#121—131no—
768C2×#121—131no—
769C2×#121—131no—
770C2×#121—131no—
771C2×#120—131no—
772C2×#120—131no—
773C2×#120—131no—
774C2×C4×D4C2×D1311yescharacteristic
775C2×#117—131no—
776C22×C22⋊C4—131no—
777C22×C22⋊C4—131no—
778C22×C42—131no—
779C22×C42C2×D1311yescharacteristic
780#401—131no—
781#400—131no—
782#400—131no—
783#400—131no—
784#398—131no—
785#398—131no—
786#397—131no—
787#397—131no—
788#397—131no—
789#397—131no—
790#397—131no—
791#396—131no—
792#396—131no—
793#396—131no—
794#395—131no—
795#395—131no—
796#394—131no—
797#394—131no—
798#394—131no—
799#394—131no—
800#394—131no—
801#394—131no—
802#394—131no—
803#394—131no—
804#393—131no—
805#393—131no—
806#393—131no—
807#393—131no—
808#392—131no—
809#392—131no—
810#392—131no—
811#392—131no—
812#391—131no—
813#391—131no—
814#391—131no—
815#391—131no—
816#390—131no—
817#390—131no—
818#390—131no—
819#390—131no—
820#390—131no—
821#390—131no—
822#390—131no—
823#389—131no—
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
837#388—131no—
838#388—131no—
839#388C2×D1311yescharacteristic, complemented
840#388C2×D1311yescharacteristic, complemented
841#387—131no—
842#387—131no—
843#387—131no—
844#387—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387C2×D1311yescharacteristic, complemented
849#387C2×D1311yescharacteristic, complemented
850#386—131no—
851#386—131no—
852#386—131no—
853#386—131no—
854#386—131no—
855#386—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#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385C2×D1311yescharacteristic
882#383—131no—
883#383—131no—
884#382—131no—
885#381—131no—
886#381—131no—
887#381—131no—
888#381C2×D1311yescharacteristic
889#380—131no—
890#380—131no—
891#380—131no—
892#379—131no—
893C4×C4⋊C4C2×D1311yescharacteristic, complemented
894C4×C4⋊C4C2×D1311yescharacteristic, complemented
895C4×C22⋊C4—131no—
896C4×C22⋊C4—131no—
897C4×C22⋊C4—131no—
898C4×C22⋊C4—131no—
899C4×C22⋊C4—131no—
900C4×C22⋊C4—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4C2×D1311yescharacteristic
908C4×C22⋊C4C2×D1311yescharacteristic, complemented
909C4×C22⋊C4C2×D1311yescharacteristic, complemented
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—41no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13#53814yes—
926C22×C13C22×#4111yescharacteristic
927C22×C13C22×#4111yescharacteristic
928C22×C13C22×#4111yescharacteristic
929C22×C13C2×H(5,𝔽2)11yescharacteristic
930C22×C13C2×H(5,𝔽2)11yescharacteristic
931C22×C13C2×H(5,𝔽2)11yescharacteristic
932C22×C13#58511yescharacteristic
933C2×D13—22no—
934C2×D13—22no—
935C2×D13—22no—
936C2×D13—22no—
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—416no—
940C2×D13—41no—
941C2×D13—41no—
942C2×D13—41no—
943C2×D13—41no—
944C2×D13—41no—
945C2×D13—41no—
946C2×D13—41no—
947C2×D13—41no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—41no—
951C2×D13—41no—
952C2×D13—41no—
953C2×D13—41no—
954C2×D13—41no—
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—22no—
965C4×C13—22no—
966C4×C13—22no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974C4×C13—41no—
975Dic13—22no—
976Dic13—22no—
977Dic13—41no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987C25—131no—
988C2×#41—264no—
989C2×#41—522no—
990C2×#41—522no—
991C22×Q8—131no—
992C22×Q8—131no—
993C22×D4—131no—
994C22×D4—131no—
995C22×D4—131no—
996C22×D4—131no—
997C22×D4—131no—
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—131no—
1002C22×D4—131no—
1003C22×D4—131no—
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—264no—
1015C23×C4—522no—
1016C23×C4—522no—
1017C23×C4C22×D1311yescharacteristic
1018C23×C4C22×D1311yescharacteristic
1019C23×C4C22×D1311yescharacteristic
1020C23×C4C22×D1311yescharacteristic
1021#126—522no—
1022#124—264no—
1023#124—522no—
1024#123—24no—
1025#123—264no—
1026#123—522no—
1027C22⋊Q8—522no—
1028#121—264no—
1029#121—264no—
1030#121—522no—
1031#121—522no—
1032#121—522no—
1033#120—522no—
1034#120—522no—
1035#120—522no—
1036C4×D4—42no—
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⋊C4C22×D1311yescharacteristic
1054C2×C4⋊C4C22×D1311yescharacteristic
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
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—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
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—264no—
1101C2×C22⋊C4—264no—
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C42—42no—
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—522no—
1118C2×C42C22×D1311yescharacteristic
1119C2×C42C22×D1311yescharacteristic
1120C2×C42C22×D1311yescharacteristic
1121C2×C42C22×D1311yescharacteristic
1122C2×C42C22×D1311yescharacteristic
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
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#95C22×D1311yescharacteristic
1160#95C22×D1311yescharacteristic
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—81no—
1171C2×C13#344411yescharacteristic
1172C2×C13C2×#53811yescharacteristic
1173C2×C13#346011yescharacteristic
1174C2×C13#349011yescharacteristic
1175C2×C13#349411yescharacteristic
1176C2×C13#351311yescharacteristic
1177C2×C13#351911yescharacteristic
1178D13—42no—
1179D13—42no—
1180D13—81no—
1181D13—81no—
1182C24—131no—
1183C24—131no—
1184C24—131no—
1185C24—131no—
1186C24—262no—
1187C24—262no—
1188C24—262no—
1189C24—262no—
1190C24—262no—
1191C24—521no—
1192C24—521no—
1193C24C23×D1311yescharacteristic
1194C24C23×D1311yescharacteristic
1195#41—5216no—
1196C2×Q8—262no—
1197C2×Q8—262no—
1198C2×Q8—521no—
1199C2×Q8—521no—
1200C2×Q8—521no—
1201C2×Q8—521no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—262no—
1206C2×D4—262no—
1207C2×D4—262no—
1208C2×D4—262no—
1209C2×D4—262no—
1210C2×D4—262no—
1211C2×D4—262no—
1212C2×D4—262no—
1213C2×D4—262no—
1214C2×D4—262no—
1215C2×D4—262no—
1216C2×D4—262no—
1217C2×D4—262no—
1218C2×D4—262no—
1219C2×D4—262no—
1220C2×D4—521no—
1221C2×D4—521no—
1222C2×D4—521no—
1223C2×D4—521no—
1224C2×D4—521no—
1225C2×D4—521no—
1226C2×D4—521no—
1227C2×D4—521no—
1228C2×D4—521no—
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—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—134no—
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—262no—
1263C22×C4—262no—
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—262no—
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—5216no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4#612714yes—
1290C22×C4C23×D1311yescharacteristic
1291C22×C4C23×D1311yescharacteristic
1292C22×C4C23×D1311yescharacteristic
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—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—262no—
1309C4⋊C4—262no—
1310C4⋊C4—262no—
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—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—134no—
1332C22⋊C4—262no—
1333C22⋊C4—262no—
1334C22⋊C4—262no—
1335C22⋊C4—262no—
1336C22⋊C4—262no—
1337C22⋊C4—262no—
1338C22⋊C4—262no—
1339C22⋊C4—262no—
1340C22⋊C4—262no—
1341C22⋊C4—262no—
1342C22⋊C4—262no—
1343C22⋊C4—262no—
1344C22⋊C4—262no—
1345C22⋊C4—262no—
1346C22⋊C4—262no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
1349C22⋊C4—262no—
1350C22⋊C4—262no—
1351C22⋊C4—521no—
1352C22⋊C4—521no—
1353C22⋊C4—521no—
1354C22⋊C4—521no—
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—
1373C42—22no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—262no—
1381C42—262no—
1382C42—521no—
1383C42—521no—
1384C42—521no—
1385C42—521no—
1386C13#3505311yescharacteristic, complemented, Sylow
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—132no—
1399C23—132no—
1400C23—268no—
1401C23—261no—
1402C23—261no—
1403C23—261no—
1404C23—261no—
1405C23—261no—
1406C23—261no—
1407C23—261no—
1408C23—261no—
1409C23—261no—
1410C23—261no—
1411C23—261no—
1412C23—261no—
1413C23—261no—
1414C23—261no—
1415C23—261no—
1416C23—261no—
1417C23—261no—
1418C23—261no—
1419C23—261no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23—524no—
1428C23—524no—
1429C23—524no—
1430C23—524no—
1431C23—524no—
1432C23—524no—
1433C23C2×#612712yes—
1434C23#8825112yes—
1435C23#8825612yes—
1436C23C24×D1311yescharacteristic
1437Q8—524no—
1438Q8—1042no—
1439D4—44no—
1440D4—524no—
1441D4—524no—
1442D4—524no—
1443D4—1042no—
1444D4—1042no—
1445D4—1042no—
1446D4—1042no—
1447D4—1042no—
1448D4—1042no—
1449D4—1042no—
1450D4—1042no—
1451C2×C4—28no—
1452C2×C4—28no—
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—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—44no—
1488C2×C4—82no—
1489C2×C4—132no—
1490C2×C4—132no—
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—524no—
1526C2×C4—524no—
1527C2×C4—524no—
1528C2×C4—524no—
1529C2×C4—524no—
1530C2×C4—524no—
1531C2×C4—524no—
1532C2×C4—524no—
1533C2×C4—524no—
1534C2×C4C2×#612712yes—
1535C2×C4C2×#612712yes—
1536C2×C4#41×D1312yes—
1537C2×C4#41×D1312yes—
1538C2×C4#8825612yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—262no—
1553C22—262no—
1554C22—262no—
1555C22—262no—
1556C22—262no—
1557C22—262no—
1558C22—5216no—
1559C22—521no—
1560C22—521no—
1561C22—521no—
1562C22—521no—
1563C22—521no—
1564C22—521no—
1565C22—521no—
1566C22—521no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22—521no—
1577C22—521no—
1578C22—521no—
1579C22—521no—
1580C22—521no—
1581C22#1171926514yes—
1582C22C22×#612711yescharacteristic
1583C22C2×#8825111yescharacteristic
1584C22C2×#41×D1311yescharacteristic
1585C22C2×#41×D1311yescharacteristic
1586C22C2×#8825611yescharacteristic
1587C22C2×#8825611yescharacteristic
1588C22#1171964811yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—262no—
1603C4—262no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C4—521no—
1609C4—521no—
1610C4—521no—
1611C4—521no—
1612C4—521no—
1613C4—521no—
1614C2—24no—
1615C2—81no—
1616C2—522no—
1617C2—522no—
1618C2—1041no—
1619C2—1041no—
1620C2#1312812911yescharacteristic
1621C2C2×#1171926511yescharacteristic
1622C2#1312825211yescharacteristic
1623C2#1312851911yescharacteristic
1624C2#1312855911yescharacteristic
1625C2#1312876811yescharacteristic
1626C2#1312887011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC4×C13×#123C2
hypercenterC4×#123D13
hypocenterC13#35053
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
1. #13123153C2semidirect
2. #13123133C2semidirect
3. #13123131C2semidirect
4. #13123117C2semidirect
5. #13121012C2semidirect
6. #13120968C2semidirect
7. #13120903C2semidirect
8. #13120830C2semidirect
9. #13120172C2semidirect
10. #13120142C2semidirect
11. #13120104C2semidirect
12. #13120080C2semidirect
13. #13119967C2semidirect
14. #13119937C2semidirect
15. #13119905C2semidirect
16. #13119890C2semidirect
17. #13119390C2semidirect
18. #13118962C2semidirect
19. #13118580C2semidirect
20. #13118514C2semidirect
21. #13118448C2semidirect
22. #13118366C2semidirect
23. #13118222C2semidirect
24. #13118157C2semidirect
25. #13117649C2semidirect
26. #13117620C2semidirect
27. #13117601C2semidirect
28. #13117596C2semidirect
29. #13117326C2semidirect
30. C2×C4×#6103C2semidirect
31. C4×C13×#123C2semidirect
45. C2×#88152C22semidirect
48. C2×#88139C22semidirect
55. C13×#388C22semidirect
56. C13×#388C22semidirect
57. C13×#387C22semidirect
58. C13×#387C22semidirect
62. C4×C13×C4⋊C4C22semidirect
63. C4×C13×C4⋊C4C22semidirect
65. C4×C13×C22⋊C4C22semidirect
66. C4×C13×C22⋊C4C22semidirect
73. #11718874C22semidirect
74. #11718872C22semidirect
80. #11718654C22semidirect
82. #11718652C22semidirect
85. #11718651C22semidirect
88. #11718650C22semidirect
89. #11718650C22semidirect
90. #11718643C22semidirect
91. #11718642C22semidirect
92. #11718640C22semidirect
93. #11718639C22semidirect
98. #11718621C22semidirect
99. #11718620C22semidirect
106. #11718618C22semidirect
109. #11718617C22semidirect
110. #11718617C22semidirect
112. #11718613C22semidirect
113. #11718612C22semidirect
115. #11718608C22semidirect
118. #11718605C22semidirect
123. #11718601C22semidirect
124. #11718601C22semidirect
125. #11718601C22semidirect
128. #11718600C22semidirect
129. #11718600C22semidirect
138. C4×#6103C22semidirect
139. C4×#6103C22semidirect
140. C4×#6103C22semidirect
141. C4×#6103C22semidirect
142. #11718598C22semidirect
143. #11718594C22semidirect
144. #11718594C22semidirect
145. #11718590C22semidirect
146. #11718590C22semidirect
147. #11718336C22semidirect
148. #11718336C22semidirect
157. #11718331C22semidirect
158. #11718331C22semidirect
159. #11718330C22semidirect
160. #11718330C22semidirect
173. C13⋊#401C22semidirect
174. #11718322C22semidirect
175. #11718321C22semidirect
176. #11718319C22semidirect
177. #11718318C22semidirect
178. #11718317C22semidirect
179. #11718316C22semidirect
180. #11718315C22semidirect
181. #11718315C22semidirect
182. #11718312C22semidirect
183. #11718311C22semidirect
184. #11718308C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
484. C2×C4×D13#41semidirect
552. #6103#41semidirect
602. C4×#123D13semidirect
839. #388C2×D13semidirect
840. #388C2×D13semidirect
848. #387C2×D13semidirect
849. #387C2×D13semidirect
893. C4×C4⋊C4C2×D13semidirect
894. C4×C4⋊C4C2×D13semidirect
908. C4×C22⋊C4C2×D13semidirect
909. C4×C22⋊C4C2×D13semidirect
1386. C13#35053semidirect

Maximal subgroups

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

subgroupindex
#131231532
#131231332
#131231312
#131231172
#131210122
#131209682
#131209032
#131208302
#131201722
#131201422
#131201042
#131200802
#131199672
#131199372
#131199052
#131198902
#131193902
#131189622
#131185802
#131185142
#131184482
#131183662
#131182222
#131181572
#131176492
#131176202
#131176012
#131175962
#131173262
C2×C4×#61032
C4×C13×#1232
#3505313