Finite Group Databasebeta

← C4×#11719232 #16022798

Subgroups — C4×#11719232 #16022798

Order 3328.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719232C211yesmaximal, characteristic
2#13117965C211yesmaximal, characteristic, complemented
3#13117961C211yesmaximal, characteristic, complemented
4#13117956C211yesmaximal, characteristic, complemented
5#13117946C211yesmaximal, characteristic, complemented
6#13117920C211yesmaximal, characteristic, complemented
7#13117914C211yesmaximal, characteristic, complemented
8#13117833C211yesmaximal, characteristic, complemented
9#13117828C211yesmaximal, characteristic, complemented
10#13117818C211yesmaximal, characteristic
11#13117777C211yesmaximal, characteristic, complemented
12#13117770C211yesmaximal, characteristic, complemented
13#13117697C211yesmaximal, characteristic, complemented
14#13117696C211yesmaximal, characteristic, complemented
15#13117686C211yesmaximal, characteristic, complemented
16#13117679C211yesmaximal, characteristic, complemented
17C4×#88152C211yesmaximal, characteristic, complemented
18C4×#88130C211yesmaximal, characteristic, complemented
19C4×#88129C211yesmaximal, characteristic, complemented
20C4×#88150C211yesmaximal, characteristic, complemented
21C4×#88132C211yesmaximal, characteristic, complemented
22C4×#88148C211yesmaximal, characteristic, complemented
23C4×#88148C211yesmaximal, characteristic, complemented
24C4×#88183C211yesmaximal, characteristic, complemented
25C4×#88136C211yesmaximal, characteristic
26C42×D52C211yesmaximal, characteristic, complemented
27C4×#88135C211yesmaximal, characteristic, complemented
28C4×#88126C211yesmaximal, characteristic, complemented
29C2×C4×#6103C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C4×C13×#117C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#117C2211yescharacteristic
34C2×C13×#117C2211yescharacteristic
35C22×C42×C13C2211yescharacteristic
36C2×#88183C2211yescharacteristic
37C2×C4×C22⋊D13C2211yescharacteristic
38C22×#6103C2211yescharacteristic
39C22×#6103C2211yescharacteristic
40C22×C4×Dic13C2211yescharacteristic
41#11719232C4116yesdirect product factor
42C2×#88152C2211yescharacteristic
43C2×#88150C2211yescharacteristic
44C2×#88148C2211yescharacteristic
45C2×#88148C2211yescharacteristic
46C2×#88136C2211yescharacteristic
47C2×#88135C2211yescharacteristic
48C2×#88135C2211yescharacteristic
49C2×C22⋊C4×D13C2211yescharacteristic
50C2×C22⋊C4×D13C2211yescharacteristic
51C2×#88132C2211yescharacteristic
52C2×#88130C2211yescharacteristic
53C2×#88129C2211yescharacteristic
54C2×C4×D52C2211yescharacteristic
55C2×C4×D52C2211yescharacteristic
56C2×C4×D52C2211yescharacteristic
57C2×C4×D52C2211yescharacteristic
58C2×#88126C2211yescharacteristic
59C2×#88126C2211yescharacteristic
60C2×C42×D13C2211yescharacteristic
61C2×C42×D13C2211yescharacteristic
62C2×C42×D13C2211yescharacteristic, complemented
63C2×C4×Dic26C2211yescharacteristic, complemented
64C4×C13×C4⋊C4C2211yescharacteristic, complemented
65C4×C13×C4⋊C4C2211yescharacteristic, complemented
66C4×C13×C4⋊C4C2211yescharacteristic, complemented
67C4×C13×C4⋊C4C2211yescharacteristic, complemented
68C4×C13×C22⋊C4C2211yescharacteristic
69C4×C13×C22⋊C4C2211yescharacteristic
70C4×C13×C22⋊C4C2211yescharacteristic
71C4×C13×C22⋊C4C2211yescharacteristic
72C13×#376C2211yescharacteristic, complemented
73C13×#376C2211yescharacteristic, complemented
74C43×C13C2211yescharacteristic, complemented
75C43×C13C2211yescharacteristic, complemented
76#11718874C2211yescharacteristic
77#11718872C2211yescharacteristic
78#11718871C2211yescharacteristic
79C4×C22⋊Dic13C2211yescharacteristic
80C2×#88071C2211yescharacteristic
81C2×#88071C2211yescharacteristic
82#11718651C2211yescharacteristic
83#11718651C2211yescharacteristic
84#11718651C2211yescharacteristic, complemented
85#11718650C2211yescharacteristic
86#11718650C2211yescharacteristic
87#11718650C2211yescharacteristic, complemented
88#11718642C2211yescharacteristic, complemented
89#11718642C2211yescharacteristic, complemented
90#11718642C2211yescharacteristic, complemented
91#11718642C2211yescharacteristic, complemented
92#11718639C2211yescharacteristic, complemented
93#11718633C2211yescharacteristic, complemented
94#11718619C2211yescharacteristic
95#11718616C2211yescharacteristic
96#11718611C2211yescharacteristic
97#11718611C2211yescharacteristic
98#11718607C2211yescharacteristic
99#11718603C2211yescharacteristic
100C22⋊C4×Dic13C2211yescharacteristic
101C22⋊C4×Dic13C2211yescharacteristic
102C22⋊C4×Dic13C2211yescharacteristic
103C22⋊C4×Dic13C2211yescharacteristic
104#11718601C2211yescharacteristic
105#11718601C2211yescharacteristic
106#11718601C2211yescharacteristic
107#11718601C2211yescharacteristic
108#11718601C2211yescharacteristic
109#11718601C2211yescharacteristic, complemented
110#11718601C2211yescharacteristic, complemented
111#11718601C2211yescharacteristic, complemented
112#11718601C2211yescharacteristic, complemented
113#11718600C2211yescharacteristic
114C4×#6103C2211yescharacteristic
115C4×#6103C2211yescharacteristic
116C4×#6103C2211yescharacteristic
117C4×#6103C2211yescharacteristic
118C4×#6103C2211yescharacteristic
119C4×#6103C2211yescharacteristic
120C4×#6103C2211yescharacteristic
121C4×#6103C2211yescharacteristic
122C4×#6103C2211yescharacteristic
123C4×#6103C2211yescharacteristic
124C4×#6103C2211yescharacteristic
125C4×#6103C2211yescharacteristic
126C4×#6103C2211yescharacteristic
127C4×#6103C2211yescharacteristic
128C4×#6103C2211yescharacteristic
129C4×#6103C2211yescharacteristic
130C4×#6103C2211yescharacteristic, complemented
131C4×#6103C2211yescharacteristic, complemented
132C4×#6103C2211yescharacteristic, complemented
133C4×#6103C2211yescharacteristic, complemented
134C4×#6103C2211yescharacteristic, complemented
135#11718598C2211yescharacteristic, complemented
136#11718597C2211yescharacteristic, complemented
137C4×C4⋊Dic13C2211yescharacteristic, complemented
138C4×C4⋊Dic13C2211yescharacteristic, complemented
139C4×C4⋊Dic13C2211yescharacteristic, complemented
140#11718594C2211yescharacteristic, complemented
141#11718594C2211yescharacteristic, complemented
142#11718594C2211yescharacteristic, complemented
143#11718594C2211yescharacteristic, complemented
144#11718594C2211yescharacteristic, complemented
145#11718593C2211yescharacteristic, complemented
146#11718593C2211yescharacteristic, complemented
147C4×#6101C2211yescharacteristic, complemented
148C4×#6101C2211yescharacteristic, complemented
149C4×#6101C2211yescharacteristic, complemented
150C4×#6101C2211yescharacteristic, complemented
151C4×#6101C2211yescharacteristic, complemented
152C4×#6101C2211yescharacteristic, complemented
153C4×#6101C2211yescharacteristic, complemented
154C42×Dic13C2211yescharacteristic, complemented
155#11718590C2211yescharacteristic, complemented
156#11718331C2211yescharacteristic
157#11718330C2211yescharacteristic
158#11718330C2211yescharacteristic
159#11718330C2211yescharacteristic, complemented
160#11718329C2211yescharacteristic
161#11718329C2211yescharacteristic
162#11718329C2211yescharacteristic
163#11718328C2211yescharacteristic
164#11718327C2211yescharacteristic
165#11718327C2211yescharacteristic
166#11718327C2211yescharacteristic, complemented
167#11718327C2211yescharacteristic, complemented
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718325C2211yescharacteristic
173#11718325C2211yescharacteristic, complemented
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176#11718316C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718312C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C23×Dic13C2311yescharacteristic
194C23×Dic13C2311yescharacteristic
195C23×Dic13C2311yescharacteristic
196C22×D52C2311yescharacteristic
197C22×D52C2311yescharacteristic
198C22×C4×D13—24no—
199C22×C4×D13—24no—
200C22×C4×D13—42no—
201C22×C4×D13C2311yescharacteristic
202C22×C4×D13C2311yescharacteristic
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#117—24no—
214C13×#117C2×C418yescomplemented
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C22⋊C4C2311yescharacteristic
220C2×C13×C22⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C42×C13—24no—
224C2×C42×C13C2311yescharacteristic
225C2×C42×C13C2311yescharacteristic
226C2×C42×C13C2311yescharacteristic
227C2×C42×C13C2311yescharacteristic
228C2×C42×C13C2311yescharacteristic
229C2×C42×C13C2311yescharacteristic
230C2×C42×C13C2311yescharacteristic
231C2×C42×C13C2311yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243#88183C2×C418yescomplemented
244C4×C22⋊D13—24no—
245C2×#6103—24no—
246C2×#6103C2×C418yescomplemented
247C2×#6103C2311yescharacteristic
248C2×#6103C2311yescharacteristic
249C2×#6103C2311yescharacteristic
250C2×#6103C2311yescharacteristic
251C2×#6103C2311yescharacteristic
252C2×#6103C2311yescharacteristic
253C2×#6103C2311yescharacteristic
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
274C2×C4⋊Dic13C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×#6101C2311yescharacteristic
280C2×#6101C2311yescharacteristic
281C2×#6101C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×C4×Dic13—42no—
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×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
310#88152C2×C418yescomplemented
311#88150C2×C418yescomplemented
312#88148C2×C418yescomplemented
313#88148C2×C418yescomplemented
314#88136C2×C418yes—
315#88135—24no—
316#88135C2×C418yescomplemented
317C22⋊C4×D13—24no—
318C22⋊C4×D13C2×C418yescomplemented
319#88132C2×C418yescomplemented
320#88130C2×C418yescomplemented
321#88129C2×C418yescomplemented
322C4×D52—24no—
323C4×D52—24no—
324C4×D52—42no—
325C4×D52C2×C418yescomplemented
326#88126—24no—
327#88126C2×C418yescomplemented
328C42×D13—24no—
329C42×D13—42no—
330C42×D13—42no—
331C4×Dic26—42no—
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#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376C4×#551—131nomaximal, Sylow
377C24×C13C2411yescharacteristic
378C23×D13—22no—
379C23×D13—22no—
380C23×D13—22no—
381C23×D13—22no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13C22×C414yes—
385C23×D13C2411yescharacteristic
386C23×D13C2411yescharacteristic
387C23×D13C2411yescharacteristic
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×C13C22×C414yes—
396C22×C4×C13#4114yes—
397C22×C4×C13C2411yescharacteristic
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⋊D13C22×C414yes—
414C22×Dic13—22no—
415C22×Dic13—22no—
416C22×Dic13—22no—
417C22×Dic13—22no—
418C22×Dic13—41no—
419C22×Dic13—41no—
420C22×Dic13—41no—
421C22×Dic13—41no—
422C22×Dic13C22×C414yes—
423C22×Dic13C2411yescharacteristic
424C22×Dic13C2411yescharacteristic
425C22×Dic13C2411yescharacteristic
426C22×Dic13C2411yescharacteristic
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C22×Dic13C2411yescharacteristic
430C22×Dic13C2411yescharacteristic
431C22×Dic13C2411yescharacteristic
432C22×Dic13C2411yescharacteristic
433C22×Dic13C2411yescharacteristic
434C22×Dic13C2411yescharacteristic
435C22×Dic13C2411yescharacteristic
436C2×D52—22no—
437C2×D52—22no—
438C2×D52—41no—
439C2×D52—41no—
440C2×D52C22×C414yes—
441C2×D52C22×C414yes—
442C2×C4×D13—22no—
443C2×C4×D13—22no—
444C2×C4×D13—22no—
445C2×C4×D13—22no—
446C2×C4×D13—22no—
447C2×C4×D13—22no—
448C2×C4×D13—22no—
449C2×C4×D13—22no—
450C2×C4×D13—22no—
451C2×C4×D13—22no—
452C2×C4×D13—22no—
453C2×C4×D13—22no—
454C2×C4×D13—22no—
455C2×C4×D13—22no—
456C2×C4×D13—22no—
457C2×C4×D13—22no—
458C2×C4×D13—22no—
459C2×C4×D13—22no—
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—416no—
463C2×C4×D13—41no—
464C2×C4×D13—41no—
465C2×C4×D13—41no—
466C2×C4×D13—41no—
467C2×C4×D13—41no—
468C2×C4×D13—41no—
469C2×C4×D13—41no—
470C2×C4×D13—41no—
471C2×C4×D13—41no—
472C2×C4×D13C22×C414yes—
473C2×C4×D13C22×C414yes—
474C2×C4×D13C22×C414yescomplemented
475C2×C4×D13#4114yes—
476C2×Dic26—41no—
477C2×Dic26—41no—
478C2×Dic26C22×C414yescomplemented
479C13×C4⋊C4—22no—
480C13×C4⋊C4—22no—
481C13×C4⋊C4C22×C414yescomplemented
482C13×C4⋊C4C22×C414yescomplemented
483C13×C22⋊C4—22no—
484C13×C22⋊C4C22×C414yes—
485C13×C22⋊C4C22×C414yes—
486C13×C22⋊C4#4114yes—
487C42×C13—22no—
488C42×C13—22no—
489C42×C13—22no—
490C42×C13—22no—
491C42×C13—22no—
492C42×C13—22no—
493C42×C13—22no—
494C42×C13—22no—
495C42×C13—22no—
496C42×C13—22no—
497C42×C13—22no—
498C42×C13—22no—
499C42×C13—41no—
500C42×C13—41no—
501C42×C13C22×C414yescomplemented
502C42×C13C22×C414yescomplemented
503C22⋊Dic13—22no—
504C22⋊Dic13—22no—
505C22⋊Dic13C22×C414yes—
506#6103—22no—
507#6103—22no—
508#6103—22no—
509#6103—22no—
510#6103—22no—
511#6103—22no—
512#6103—22no—
513#6103—22no—
514#6103—22no—
515#6103—22no—
516#6103—22no—
517#6103—41no—
518#6103—41no—
519#6103—41no—
520#6103—41no—
521#6103C22×C414yes—
522#6103C22×C414yes—
523#6103C22×C414yes—
524#6103C22×C414yes—
525#6103C22×C414yes—
526#6103C22×C414yes—
527#6103C22×C414yes—
528#6103C22×C414yes—
529#6103C22×C414yescomplemented
530#6103C22×C414yescomplemented
531#6103C22×C414yescomplemented
532#6103#4114yes—
533C4⋊Dic13—22no—
534C4⋊Dic13—22no—
535C4⋊Dic13—41no—
536C4⋊Dic13—41no—
537C4⋊Dic13C22×C414yescomplemented
538#6101—22no—
539#6101—22no—
540#6101—22no—
541#6101—22no—
542#6101—41no—
543#6101—41no—
544#6101—41no—
545#6101—41no—
546#6101C22×C414yescomplemented
547#6101C22×C414yescomplemented
548#6101C22×C414yescomplemented
549#6101C22×C414yescomplemented
550#6101C22×C414yescomplemented
551C4×Dic13—22no—
552C4×Dic13—22no—
553C4×Dic13—22no—
554C4×Dic13—22no—
555C4×Dic13—22no—
556C4×Dic13—22no—
557C4×Dic13—22no—
558C4×Dic13—22no—
559C4×Dic13—22no—
560C4×Dic13—41no—
561C4×Dic13—41no—
562C4×Dic13—41no—
563C4×Dic13—41no—
564C4×Dic13—41no—
565C4×Dic13—41no—
566C4×Dic13—41no—
567C4×Dic13C22×C414yescomplemented
568C2×#551—131no—
569#2374—131no—
570#2373—131no—
571#2373—131no—
572#2372—131no—
573#2368—131no—
574#2368—131no—
575#2359—131no—
576#2359—131no—
577#2358—131no—
578#2353—131no—
579#2353—131no—
580#2343—131no—
581#2343—131no—
582#2342—131no—
583#2342—131no—
584C4×#126—131no—
585C4×#126—131no—
586C4×#124—131no—
587C4×C22⋊Q8—131no—
588C4×C22⋊Q8—131no—
589C4×#123—131no—
590C4×#123—131no—
591C4×#123—131no—
592C4×#120—131no—
593C42×D4—131no—
594C42×D4—131no—
595C4×#117—131no—
596C4×#117D1311yescharacteristic, complemented
597C2×C4×C22⋊C4—131no—
598C2×C4×C22⋊C4—131no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13C23×C412yes—
604C23×C13C2×#4112yes—
605C23×C13C2×#4112yes—
606C23×C13C2511yescharacteristic
607C22×D13—21no—
608C22×D13—21no—
609C22×D13—21no—
610C22×D13—21no—
611C22×D13—28no—
612C22×D13—21no—
613C22×D13—21no—
614C22×D13—21no—
615C22×D13—21no—
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—28no—
625C22×D13—44no—
626C22×D13—44no—
627C22×D13—44no—
628C22×D13—44no—
629C22×D13—44no—
630C22×D13C23×C412yes—
631C22×D13C23×C412yes—
632C22×D13C23×C412yes—
633C22×D13C2×#4112yes—
634C22×D13C2×#4112yes—
635C2×C4×C13—28no—
636C2×C4×C13—21no—
637C2×C4×C13—21no—
638C2×C4×C13—21no—
639C2×C4×C13—21no—
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—28no—
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—44no—
667C2×C4×C13C23×C412yes—
668C2×C4×C13C23×C412yes—
669C2×C4×C13C23×C412yes—
670C2×C4×C13C23×C412yes—
671C2×C4×C13C23×C412yes—
672C2×C4×C13C23×C412yes—
673C2×C4×C13C2×#4112yes—
674C2×C4×C13C2×#4112yes—
675C2×C4×C13C2×#4112yes—
676C2×C4×C13C2×#4112yes—
677C2×C4×C13C2×#4112yes—
678C2×C4×C13C2×#4112yes—
679C2×C4×C13H(5,𝔽2)12yes—
680C22⋊D13—28no—
681C2×Dic13—21no—
682C2×Dic13—21no—
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—44no—
714C2×Dic13—44no—
715C2×Dic13—44no—
716C2×Dic13C23×C412yes—
717C2×Dic13C23×C412yes—
718C2×Dic13C23×C412yes—
719C2×Dic13C23×C412yes—
720C2×Dic13C23×C412yes—
721C2×Dic13C2×#4112yes—
722C2×Dic13C2×#4112yes—
723D52—28no—
724D52—44no—
725C4×D13—28no—
726C4×D13—28no—
727C4×D13—44no—
728C4×D13—44no—
729C4×D13—44no—
730C4×D13—44no—
731C4×D13—44no—
732C4×D13—44no—
733C4×D13—44no—
734C4×D13—44no—
735C4×D13—44no—
736Dic26—44no—
737C24×C4—131no—
738#551—1316no—
739C2×#126—131no—
740C2×#126—131no—
741C2×#124—131no—
742C2×#123—131no—
743C2×#123—131no—
744C2×#123—131no—
745C2×C22⋊Q8—131no—
746C2×C22⋊Q8—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×#117C2×D1311yescharacteristic
759C2×#117C2×D1311yescharacteristic
760C22×C22⋊C4—131no—
761C22×C22⋊C4—131no—
762C22×C22⋊C4—131no—
763C22×C22⋊C4—131no—
764C22×C42—131no—
765C22×C42—131no—
766C22×C42—131no—
767C22×C42—131no—
768C22×C42C2×D1311yescharacteristic
769#391—131no—
770#391—131no—
771#391—131no—
772#390—131no—
773#389—131no—
774#389—131no—
775#388—131no—
776#388—131no—
777#388—131no—
778#388—131no—
779#388—131no—
780#388—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#387—131no—
792#387—131no—
793#387—131no—
794#387—131no—
795#387—131no—
796#387—131no—
797#387—131no—
798#387—131no—
799#387—131no—
800#387—131no—
801#387—131no—
802#387—131no—
803#387—131no—
804#387—131no—
805#387—131no—
806#387—131no—
807#386—131no—
808#386—131no—
809#386—131no—
810#386—131no—
811#386—131no—
812#386—131no—
813#385—131no—
814#385—131no—
815#385—131no—
816#385—131no—
817#385—131no—
818#385—131no—
819#385—131no—
820#385—131no—
821#385—131no—
822#385—131no—
823#383—131no—
824#383—131no—
825#382—131no—
826#381—131no—
827#381—131no—
828#381—131no—
829#380—131no—
830#380—131no—
831#379—131no—
832C4×C4⋊C4—131no—
833C4×C4⋊C4—131no—
834C4×C4⋊C4—131no—
835C4×C4⋊C4—131no—
836C4×C4⋊C4—131no—
837C4×C4⋊C4—131no—
838C4×C4⋊C4—131no—
839C4×C4⋊C4—131no—
840C4×C4⋊C4—131no—
841C4×C4⋊C4—131no—
842C4×C4⋊C4—131no—
843C4×C4⋊C4—131no—
844C4×C4⋊C4C2×D1311yescharacteristic, complemented
845C4×C4⋊C4C2×D1311yescharacteristic, complemented
846C4×C4⋊C4C2×D1311yescharacteristic, complemented
847C4×C4⋊C4C2×D1311yescharacteristic, complemented
848C4×C22⋊C4—131no—
849C4×C22⋊C4—131no—
850C4×C22⋊C4—131no—
851C4×C22⋊C4—131no—
852C4×C22⋊C4—131no—
853C4×C22⋊C4—131no—
854C4×C22⋊C4—131no—
855C4×C22⋊C4—131no—
856C4×C22⋊C4—131no—
857C4×C22⋊C4—131no—
858C4×C22⋊C4—131no—
859C4×C22⋊C4—131no—
860C4×C22⋊C4—131no—
861C4×C22⋊C4—131no—
862C4×C22⋊C4—131no—
863C4×C22⋊C4—131no—
864C4×C22⋊C4—131no—
865C4×C22⋊C4—131no—
866C4×C22⋊C4—131no—
867C4×C22⋊C4—131no—
868C4×C22⋊C4—131no—
869C4×C22⋊C4—131no—
870C4×C22⋊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⋊C4C2×D1311yescharacteristic
879C4×C22⋊C4C2×D1311yescharacteristic
880C4×C22⋊C4C2×D1311yescharacteristic
881C4×C22⋊C4C2×D1311yescharacteristic
882#376—131no—
883#376—131no—
884#376C2×D1311yescharacteristic, complemented
885#376C2×D1311yescharacteristic, complemented
886C2×#95—131no—
887C2×#95—131no—
888C2×#95—131no—
889C2×#95—131no—
890C43—131no—
891C43C2×D1311yescharacteristic, complemented
892C43C2×D1311yescharacteristic, complemented
893C22×C13—22no—
894C22×C13—22no—
895C22×C13—22no—
896C22×C13—22no—
897C22×C13—22no—
898C22×C13—22no—
899C22×C13C4×#4114yes—
900C22×C13C24×C411yescharacteristic
901C22×C13C22×#4111yescharacteristic
902C22×C13C22×#4111yescharacteristic
903C22×C13C22×#4111yescharacteristic
904C22×C13C22×#4111yescharacteristic
905C22×C13C2×H(5,𝔽2)11yescharacteristic
906C22×C13#58511yescharacteristic
907C2×D13—22no—
908C2×D13—22no—
909C2×D13—22no—
910C2×D13—22no—
911C2×D13—22no—
912C2×D13—22no—
913C2×D13—22no—
914C2×D13—22no—
915C2×D13—22no—
916C2×D13—22no—
917C2×D13—22no—
918C2×D13—22no—
919C2×D13—416no—
920C2×D13—41no—
921C2×D13—41no—
922C2×D13—41no—
923C2×D13—41no—
924C2×D13—41no—
925C2×D13—41no—
926C2×D13—41no—
927C2×D13—41no—
928C2×D13C4×#4114yes—
929C4×C13—22no—
930C4×C13—22no—
931C4×C13—22no—
932C4×C13—22no—
933C4×C13—22no—
934C4×C13—22no—
935C4×C13—22no—
936C4×C13—22no—
937C4×C13—22no—
938C4×C13—22no—
939C4×C13—41no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13#55114yescomplemented
943Dic13—22no—
944Dic13—22no—
945Dic13—22no—
946Dic13—22no—
947Dic13—22no—
948Dic13—22no—
949Dic13—22no—
950Dic13—41no—
951Dic13—41no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13—41no—
956C25—131no—
957C22×Q8—131no—
958C22×D4—131no—
959C22×D4—131no—
960C22×D4—131no—
961C23×C4—131no—
962C23×C4—131no—
963C23×C4—131no—
964C23×C4—131no—
965C23×C4—131no—
966C23×C4—131no—
967C23×C4—131no—
968C23×C4—131no—
969C23×C4—131no—
970C23×C4—131no—
971C23×C4—131no—
972C23×C4—131no—
973C23×C4—131no—
974C23×C4—131no—
975C23×C4—264no—
976C23×C4—264no—
977C23×C4—522no—
978C23×C4C22×D1311yescharacteristic
979C23×C4C22×D1311yescharacteristic
980C23×C4C22×D1311yescharacteristic
981#126—138no—
982#126—138no—
983#124—138no—
984#123—138no—
985#123—138no—
986#123—138no—
987C22⋊Q8—138no—
988C22⋊Q8—138no—
989#120—138no—
990C4×Q8—522no—
991C4×D4—138no—
992C4×D4—138no—
993C4×D4—264no—
994C4×D4—264no—
995C4×D4—264no—
996C4×D4—264no—
997C4×D4—522no—
998#117—24no—
999#117—138no—
1000#117—264no—
1001#117C4×D1318yescomplemented
1002C2×C4⋊C4—131no—
1003C2×C4⋊C4—131no—
1004C2×C4⋊C4—131no—
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⋊C4C22×D1311yescharacteristic
1021C2×C4⋊C4C22×D1311yescharacteristic
1022C2×C4⋊C4C22×D1311yescharacteristic
1023C2×C4⋊C4C22×D1311yescharacteristic
1024C2×C22⋊C4—131no—
1025C2×C22⋊C4—138no—
1026C2×C22⋊C4—131no—
1027C2×C22⋊C4—131no—
1028C2×C22⋊C4—131no—
1029C2×C22⋊C4—131no—
1030C2×C22⋊C4—131no—
1031C2×C22⋊C4—131no—
1032C2×C22⋊C4—131no—
1033C2×C22⋊C4—131no—
1034C2×C22⋊C4—131no—
1035C2×C22⋊C4—131no—
1036C2×C22⋊C4—131no—
1037C2×C22⋊C4—131no—
1038C2×C22⋊C4—138no—
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—264no—
1057C2×C22⋊C4—264no—
1058C2×C22⋊C4C22×D1311yescharacteristic
1059C2×C22⋊C4C22×D1311yescharacteristic
1060C2×C22⋊C4C22×D1311yescharacteristic
1061C2×C22⋊C4C22×D1311yescharacteristic
1062C2×C42—24no—
1063C2×C42—131no—
1064C2×C42—131no—
1065C2×C42—131no—
1066C2×C42—131no—
1067C2×C42—131no—
1068C2×C42—131no—
1069C2×C42—131no—
1070C2×C42—131no—
1071C2×C42—131no—
1072C2×C42—131no—
1073C2×C42—131no—
1074C2×C42—131no—
1075C2×C42—131no—
1076C2×C42—131no—
1077C2×C42—131no—
1078C2×C42—131no—
1079C2×C42—131no—
1080C2×C42—264no—
1081C2×C42—522no—
1082C2×C42—522no—
1083C2×C42—522no—
1084C2×C42C22×D1311yescharacteristic
1085C2×C42C22×D1311yescharacteristic
1086C2×C42C22×D1311yescharacteristic
1087C2×C42C22×D1311yescharacteristic
1088C2×C42C22×D1311yescharacteristic
1089C2×C42C22×D1311yescharacteristic
1090C2×C42C22×D1311yescharacteristic
1091C2×C42C22×D1311yescharacteristic
1092C2×C42C22×D1311yescharacteristic
1093C2×C42C22×D1311yescharacteristic
1094C2×C42C22×D1311yescharacteristic
1095C2×C42C22×D1311yescharacteristic
1096C2×C42C22×D1311yescharacteristic
1097C2×C42C22×D1311yescharacteristic
1098C2×C42C22×D1311yescharacteristic
1099C2×C42C22×D1311yescharacteristic
1100#95—131no—
1101#95—131no—
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#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95C22×D1311yescharacteristic
1137#95C22×D1311yescharacteristic
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143#95C22×D1311yescharacteristic
1144C2×C13—24no—
1145C2×C13C2×C4×#4111yescharacteristic
1146C2×C13C2×C4×#4111yescharacteristic
1147C2×C13C4×H(5,𝔽2)11yescharacteristic
1148C2×C13C2×#55111yescharacteristic
1149C2×C13#347511yescharacteristic
1150C2×C13#347511yescharacteristic
1151C2×C13#348111yescharacteristic
1152D13—24no—
1153D13—42no—
1154D13—42no—
1155C24—131no—
1156C24—131no—
1157C24—131no—
1158C24—134no—
1159C24—262no—
1160C24—262no—
1161C24—262no—
1162C24—262no—
1163C24—521no—
1164C24—521no—
1165C24C23×D1311yescharacteristic
1166C2×Q8—134no—
1167C2×Q8—521no—
1168C2×Q8—521no—
1169C2×D4—134no—
1170C2×D4—134no—
1171C2×D4—134no—
1172C2×D4—262no—
1173C2×D4—262no—
1174C2×D4—262no—
1175C2×D4—262no—
1176C2×D4—521no—
1177C2×D4—521no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—41no—
1185C22×C4—131no—
1186C22×C4—131no—
1187C22×C4—131no—
1188C22×C4—131no—
1189C22×C4—131no—
1190C22×C4—131no—
1191C22×C4—131no—
1192C22×C4—134no—
1193C22×C4—134no—
1194C22×C4—134no—
1195C22×C4—134no—
1196C22×C4—134no—
1197C22×C4—131no—
1198C22×C4—131no—
1199C22×C4—131no—
1200C22×C4—131no—
1201C22×C4—131no—
1202C22×C4—131no—
1203C22×C4—262no—
1204C22×C4—262no—
1205C22×C4—262no—
1206C22×C4—262no—
1207C22×C4—262no—
1208C22×C4—262no—
1209C22×C4—262no—
1210C22×C4—262no—
1211C22×C4—262no—
1212C22×C4—262no—
1213C22×C4—262no—
1214C22×C4—262no—
1215C22×C4—262no—
1216C22×C4—262no—
1217C22×C4—262no—
1218C22×C4—262no—
1219C22×C4—262no—
1220C22×C4—262no—
1221C22×C4—262no—
1222C22×C4—262no—
1223C22×C4—262no—
1224C22×C4—262no—
1225C22×C4—262no—
1226C22×C4—262no—
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—5216no—
1237C22×C4—521no—
1238C22×C4—521no—
1239C22×C4—521no—
1240C22×C4—521no—
1241C22×C4C2×C4×D1314yes—
1242C22×C4#612714yes—
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
1252C22×C4C23×D1311yescharacteristic
1253C22×C4C23×D1311yescharacteristic
1254C22×C4C23×D1311yescharacteristic
1255C22×C4C23×D1311yescharacteristic
1256C22×C4C23×D1311yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—134no—
1260C4⋊C4—134no—
1261C4⋊C4—134no—
1262C4⋊C4—134no—
1263C4⋊C4—134no—
1264C4⋊C4—134no—
1265C4⋊C4—262no—
1266C4⋊C4—262no—
1267C4⋊C4—262no—
1268C4⋊C4—262no—
1269C4⋊C4—262no—
1270C4⋊C4—262no—
1271C4⋊C4—521no—
1272C4⋊C4—521no—
1273C4⋊C4—521no—
1274C4⋊C4—521no—
1275C4⋊C4—521no—
1276C4⋊C4—521no—
1277C4⋊C4C2×C4×D1314yescomplemented
1278C4⋊C4C2×C4×D1314yescomplemented
1279C22⋊C4—22no—
1280C22⋊C4—134no—
1281C22⋊C4—134no—
1282C22⋊C4—134no—
1283C22⋊C4—134no—
1284C22⋊C4—134no—
1285C22⋊C4—134no—
1286C22⋊C4—134no—
1287C22⋊C4—134no—
1288C22⋊C4—134no—
1289C22⋊C4—134no—
1290C22⋊C4—134no—
1291C22⋊C4—134no—
1292C22⋊C4—134no—
1293C22⋊C4—262no—
1294C22⋊C4—262no—
1295C22⋊C4—262no—
1296C22⋊C4—262no—
1297C22⋊C4—262no—
1298C22⋊C4—262no—
1299C22⋊C4—262no—
1300C22⋊C4—262no—
1301C22⋊C4—262no—
1302C22⋊C4—262no—
1303C22⋊C4—262no—
1304C22⋊C4—262no—
1305C22⋊C4—262no—
1306C22⋊C4—521no—
1307C22⋊C4—521no—
1308C22⋊C4—521no—
1309C22⋊C4—521no—
1310C22⋊C4C2×C4×D1314yes—
1311C22⋊C4C2×C4×D1314yes—
1312C22⋊C4#612714yes—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—41no—
1326C42—41no—
1327C42—134no—
1328C42—262no—
1329C42—262no—
1330C42—262no—
1331C42—262no—
1332C42—262no—
1333C42—262no—
1334C42—262no—
1335C42—262no—
1336C42—262no—
1337C42—521no—
1338C42—521no—
1339C42—521no—
1340C42—521no—
1341C42—521no—
1342C42—521no—
1343C42—521no—
1344C42C2×C4×D1314yescomplemented
1345C42C2×C4×D1314yescomplemented
1346C13C4×#55111yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—132no—
1352C23—132no—
1353C23—132no—
1354C23—132no—
1355C23—132no—
1356C23—268no—
1357C23—261no—
1358C23—261no—
1359C23—261no—
1360C23—261no—
1361C23—268no—
1362C23—261no—
1363C23—261no—
1364C23—261no—
1365C23—261no—
1366C23—261no—
1367C23—261no—
1368C23—261no—
1369C23—261no—
1370C23—261no—
1371C23—261no—
1372C23—261no—
1373C23—261no—
1374C23—524no—
1375C23—524no—
1376C23—524no—
1377C23—524no—
1378C23—524no—
1379C23C22×C4×D1312yes—
1380C23C2×#612712yes—
1381C23C2×#612712yes—
1382C23C24×D1311yescharacteristic
1383Q8—524no—
1384D4—268no—
1385D4—268no—
1386D4—524no—
1387C2×C4—28no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
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—28no—
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—44no—
1419C2×C4—132no—
1420C2×C4—132no—
1421C2×C4—132no—
1422C2×C4—132no—
1423C2×C4—132no—
1424C2×C4—132no—
1425C2×C4—132no—
1426C2×C4—268no—
1427C2×C4—261no—
1428C2×C4—261no—
1429C2×C4—261no—
1430C2×C4—261no—
1431C2×C4—261no—
1432C2×C4—261no—
1433C2×C4—261no—
1434C2×C4—261no—
1435C2×C4—261no—
1436C2×C4—261no—
1437C2×C4—261no—
1438C2×C4—261no—
1439C2×C4—261no—
1440C2×C4—261no—
1441C2×C4—268no—
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—524no—
1461C2×C4—524no—
1462C2×C4—524no—
1463C2×C4—524no—
1464C2×C4—524no—
1465C2×C4—524no—
1466C2×C4—524no—
1467C2×C4—524no—
1468C2×C4—524no—
1469C2×C4—524no—
1470C2×C4—524no—
1471C2×C4—524no—
1472C2×C4C22×C4×D1312yes—
1473C2×C4C22×C4×D1312yes—
1474C2×C4C22×C4×D1312yes—
1475C2×C4C22×C4×D1312yes—
1476C2×C4C22×C4×D1312yes—
1477C2×C4C22×C4×D1312yes—
1478C2×C4C2×#612712yes—
1479C2×C4C2×#612712yes—
1480C2×C4C2×#612712yes—
1481C2×C4C2×#612712yes—
1482C2×C4#41×D1312yes—
1483C2×C4#41×D1312yes—
1484C2×C4#8825612yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—134no—
1492C22—262no—
1493C22—262no—
1494C22—262no—
1495C22—262no—
1496C22—262no—
1497C22—262no—
1498C22—262no—
1499C22—262no—
1500C22—262no—
1501C22—262no—
1502C22—262no—
1503C22—262no—
1504C22—5216no—
1505C22—521no—
1506C22—521no—
1507C22—521no—
1508C22—521no—
1509C22—521no—
1510C22—521no—
1511C22—521no—
1512C22—521no—
1513C22C4×#612714yes—
1514C22C23×C4×D1311yescharacteristic
1515C22C22×#612711yescharacteristic
1516C22C22×#612711yescharacteristic
1517C22C2×#41×D1311yescharacteristic
1518C22C2×#41×D1311yescharacteristic
1519C22C2×#8825611yescharacteristic
1520C22#1171964811yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—262no—
1535C4—262no—
1536C4—262no—
1537C4—262no—
1538C4—262no—
1539C4—262no—
1540C4—262no—
1541C4—521no—
1542C4—521no—
1543C4—521no—
1544C4—521no—
1545C4—521no—
1546C4—521no—
1547C4#1171923214yesdirect product factor
1548C2—24no—
1549C2—264no—
1550C2—522no—
1551C2—522no—
1552C2C4×#41×D1311yescharacteristic
1553C2C2×C4×#612711yescharacteristic
1554C2C4×#8825611yescharacteristic
1555C2C2×#1171923211yescharacteristic
1556C2#1312839011yescharacteristic
1557C2#1312839811yescharacteristic
1558C2#1312844611yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC4×C13×#117C2
socle, cosocleC23×C13C25
prime radicalC2×#88136C22
hypercenterC4×#117D13
hypocenterC13C4×#551
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C4×#117

Complements

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

NH ≅ G/Ntype
2. #13117965C2semidirect
3. #13117961C2semidirect
4. #13117956C2semidirect
5. #13117946C2semidirect
6. #13117920C2semidirect
7. #13117914C2semidirect
8. #13117833C2semidirect
9. #13117828C2semidirect
11. #13117777C2semidirect
12. #13117770C2semidirect
13. #13117697C2semidirect
14. #13117696C2semidirect
15. #13117686C2semidirect
16. #13117679C2semidirect
17. C4×#88152C2semidirect
18. C4×#88130C2semidirect
19. C4×#88129C2semidirect
20. C4×#88150C2semidirect
21. C4×#88132C2semidirect
22. C4×#88148C2semidirect
23. C4×#88148C2semidirect
24. C4×#88183C2semidirect
26. C42×D52C2semidirect
27. C4×#88135C2semidirect
28. C4×#88126C2semidirect
29. C2×C4×#6103C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C4×C13×#117C2semidirect
41. #11719232C4direct (N × H)
62. C2×C42×D13C22semidirect
63. C2×C4×Dic26C22semidirect
64. C4×C13×C4⋊C4C22semidirect
65. C4×C13×C4⋊C4C22semidirect
66. C4×C13×C4⋊C4C22semidirect
67. C4×C13×C4⋊C4C22semidirect
72. C13×#376C22semidirect
73. C13×#376C22semidirect
74. C43×C13C22semidirect
75. C43×C13C22semidirect
84. #11718651C22semidirect
87. #11718650C22semidirect
88. #11718642C22semidirect
89. #11718642C22semidirect
90. #11718642C22semidirect
91. #11718642C22semidirect
92. #11718639C22semidirect
93. #11718633C22semidirect
109. #11718601C22semidirect
110. #11718601C22semidirect
111. #11718601C22semidirect
112. #11718601C22semidirect
130. C4×#6103C22semidirect
131. C4×#6103C22semidirect
132. C4×#6103C22semidirect
133. C4×#6103C22semidirect
134. C4×#6103C22semidirect
135. #11718598C22semidirect
136. #11718597C22semidirect
137. C4×C4⋊Dic13C22semidirect
138. C4×C4⋊Dic13C22semidirect
139. C4×C4⋊Dic13C22semidirect
140. #11718594C22semidirect
141. #11718594C22semidirect
142. #11718594C22semidirect
143. #11718594C22semidirect
144. #11718594C22semidirect
145. #11718593C22semidirect
146. #11718593C22semidirect
147. C4×#6101C22semidirect
148. C4×#6101C22semidirect
149. C4×#6101C22semidirect
150. C4×#6101C22semidirect
151. C4×#6101C22semidirect
152. C4×#6101C22semidirect
153. C4×#6101C22semidirect
154. C42×Dic13C22semidirect
155. #11718590C22semidirect
159. #11718330C22semidirect
166. #11718327C22semidirect
167. #11718327C22semidirect
173. #11718325C22semidirect
176. #11718316C22semidirect
177. #11718316C22semidirect
178. #11718316C22semidirect
179. #11718315C22semidirect
180. #11718315C22semidirect
181. #11718313C22semidirect
182. #11718312C22semidirect
183. #11718310C22semidirect
184. #11718310C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
214. C13×#117C2×C4semidirect
243. #88183C2×C4semidirect
246. C2×#6103C2×C4semidirect
310. #88152C2×C4semidirect
311. #88150C2×C4semidirect
312. #88148C2×C4semidirect
313. #88148C2×C4semidirect
316. #88135C2×C4semidirect
318. C22⋊C4×D13C2×C4semidirect
319. #88132C2×C4semidirect
320. #88130C2×C4semidirect
321. #88129C2×C4semidirect
325. C4×D52C2×C4semidirect
327. #88126C2×C4semidirect
474. C2×C4×D13C22×C4semidirect
478. C2×Dic26C22×C4semidirect
481. C13×C4⋊C4C22×C4semidirect
482. C13×C4⋊C4C22×C4semidirect
501. C42×C13C22×C4semidirect
502. C42×C13C22×C4semidirect
529. #6103C22×C4semidirect
530. #6103C22×C4semidirect
531. #6103C22×C4semidirect
537. C4⋊Dic13C22×C4semidirect
546. #6101C22×C4semidirect
547. #6101C22×C4semidirect
548. #6101C22×C4semidirect
549. #6101C22×C4semidirect
550. #6101C22×C4semidirect
567. C4×Dic13C22×C4semidirect
596. C4×#117D13semidirect
844. C4×C4⋊C4C2×D13semidirect
845. C4×C4⋊C4C2×D13semidirect
846. C4×C4⋊C4C2×D13semidirect
847. C4×C4⋊C4C2×D13semidirect
884. #376C2×D13semidirect
885. #376C2×D13semidirect
891. C43C2×D13semidirect
892. C43C2×D13semidirect
942. C4×C13#551semidirect
1001. #117C4×D13semidirect
1277. C4⋊C4C2×C4×D13semidirect
1278. C4⋊C4C2×C4×D13semidirect
1344. C42C2×C4×D13semidirect
1345. C42C2×C4×D13semidirect
1346. C13C4×#551semidirect
1547. C4#11719232direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192322
#131179652
#131179612
#131179562
#131179462
#131179202
#131179142
#131178332
#131178282
#131178182
#131177772
#131177702
#131176972
#131176962
#131176862
#131176792
C4×#881522
C4×#881302
C4×#881292
C4×#881502
C4×#881322
C4×#881482
C4×#881832
C4×#881362
C42×D522
C4×#881352
C4×#881262
C2×C4×#61032
C4×C22⋊C4×D132
C4×C13×#1172
C4×#55113