Finite Group Databasebeta

← #16035086

Subgroups — #16035086

Order 3328.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13120391C211yesmaximal, characteristic, complemented
2#13120353C211yesmaximal, characteristic, complemented
3#13120291C211yesmaximal, characteristic, complemented
4#13120253C211yesmaximal, characteristic, complemented
5#13120176C211yesmaximal, characteristic, complemented
6#13120138C211yesmaximal, characteristic, complemented
7#13119971C211yesmaximal, characteristic, complemented
8#13119933C211yesmaximal, characteristic, complemented
9#13119401C211yesmaximal, characteristic, complemented
10#13119336C211yesmaximal, characteristic, complemented
11#13119086C211yesmaximal, characteristic, complemented
12#13118958C211yesmaximal, characteristic, complemented
13#13118657C211yesmaximal, characteristic, complemented
14#13118593C211yesmaximal, characteristic, complemented
15#13118379C211yesmaximal, characteristic
16#13118303C211yesmaximal, characteristic, complemented
17#13118136C211yesmaximal, characteristic, complemented
18#13118119C211yesmaximal, characteristic, complemented
19#13118096C211yesmaximal, characteristic, complemented
20#13118078C211yesmaximal, characteristic, complemented
21C4×#88130C211yesmaximal, characteristic, complemented
22C4×#88200C211yesmaximal, characteristic, complemented
23C4×#88137C211yesmaximal, characteristic, complemented
24C4×#88138C211yesmaximal, characteristic, complemented
25C4×#88138C211yesmaximal, characteristic, complemented
26C4×#88136C211yesmaximal, characteristic, complemented
27C4×#88191C211yesmaximal, characteristic, complemented
28#13117282C211yesmaximal, characteristic, complemented
29C42×D52C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C4×C13×#124C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#124C2211yescharacteristic
34C2×C4×Q8×C13C2211yescharacteristic, complemented
35C2×C4×D4×C13C2211yescharacteristic
36C2×#88200C2211yescharacteristic
37C2×#88191C2211yescharacteristic
38C2×C4×C22⋊D13C2211yescharacteristic
39C2×C4×C22⋊D13C2211yescharacteristic
40C2×C4×C22⋊D13C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic, complemented
42C2×#88180C2211yescharacteristic, complemented
43C2×#88138C2211yescharacteristic
44C2×#88138C2211yescharacteristic
45C2×#88137C2211yescharacteristic
46C2×#88136C2211yescharacteristic
47C2×C22⋊C4×D13C2211yescharacteristic
48C2×C22⋊C4×D13C2211yescharacteristic
49C2×#88130C2211yescharacteristic
50C2×C4×D52C2211yescharacteristic
51C2×C4×D52C2211yescharacteristic
52C2×C4×D52C2211yescharacteristic
53C2×C4×D52C2211yescharacteristic
54C2×C42×D13C2211yescharacteristic
55C2×C42×D13C2211yescharacteristic
56C2×C42×D13C2211yescharacteristic, complemented
57C13×#391C2211yescharacteristic, complemented
58C13×#390C2211yescharacteristic
59C13×#388C2211yescharacteristic
60C13×#388C2211yescharacteristic
61C13×#388C2211yescharacteristic, complemented
62C13×#388C2211yescharacteristic, complemented
63C13×#382C2211yescharacteristic, complemented
64C4×C13×C22⋊C4C2211yescharacteristic
65C4×C13×C22⋊C4C2211yescharacteristic
66C4×C13×C22⋊C4C2211yescharacteristic, complemented
67C4×C13×C22⋊C4C2211yescharacteristic, complemented
68C43×C13C2211yescharacteristic, complemented
69#11718892C2211yescharacteristic
70#11718892C2211yescharacteristic, complemented
71#11718891C2211yescharacteristic, complemented
72#11718884C2211yescharacteristic
73#11718883C2211yescharacteristic
74#11718881C2211yescharacteristic
75C4×C22⋊Dic13C2211yescharacteristic
76C4×C22⋊Dic13C2211yescharacteristic
77#11718655C2211yescharacteristic, complemented
78#11718654C2211yescharacteristic
79#11718654C2211yescharacteristic, complemented
80#11718652C2211yescharacteristic
81#11718652C2211yescharacteristic
82#11718650C2211yescharacteristic
83#11718650C2211yescharacteristic
84#11718650C2211yescharacteristic
85#11718650C2211yescharacteristic
86#11718648C2211yescharacteristic
87#11718647C2211yescharacteristic, complemented
88#11718647C2211yescharacteristic, complemented
89#11718645C2211yescharacteristic, complemented
90#11718639C2211yescharacteristic, complemented
91#11718639C2211yescharacteristic, complemented
92#11718634C2211yescharacteristic, complemented
93#11718622C2211yescharacteristic
94#11718622C2211yescharacteristic
95#11718622C2211yescharacteristic
96#11718620C2211yescharacteristic, complemented
97#11718619C2211yescharacteristic
98#11718618C2211yescharacteristic
99#11718618C2211yescharacteristic, complemented
100#11718617C2211yescharacteristic
101#11718617C2211yescharacteristic
102#11718617C2211yescharacteristic
103#11718617C2211yescharacteristic
104#11718617C2211yescharacteristic
105#11718617C2211yescharacteristic
106#11718617C2211yescharacteristic, complemented
107#11718616C2211yescharacteristic
108#11718616C2211yescharacteristic
109#11718614C2211yescharacteristic
110#11718614C2211yescharacteristic, complemented
111#11718614C2211yescharacteristic, complemented
112#11718613C2211yescharacteristic
113#11718613C2211yescharacteristic
114#11718613C2211yescharacteristic, complemented
115#11718612C2211yescharacteristic
116#11718612C2211yescharacteristic, complemented
117#11718612C2211yescharacteristic, complemented
118#11718611C2211yescharacteristic
119#11718609C2211yescharacteristic
120#11718609C2211yescharacteristic
121#11718607C2211yescharacteristic
122#11718606C2211yescharacteristic
123#11718606C2211yescharacteristic, complemented
124#11718606C2211yescharacteristic, complemented
125C22⋊C4×Dic13C2211yescharacteristic
126C22⋊C4×Dic13C2211yescharacteristic
127#11718601C2211yescharacteristic
128#11718601C2211yescharacteristic
129#11718601C2211yescharacteristic
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
143C4×C4⋊Dic13C2211yescharacteristic, complemented
144C4×C4⋊Dic13C2211yescharacteristic, complemented
145C4×C4⋊Dic13C2211yescharacteristic, complemented
146C4×C4⋊Dic13C2211yescharacteristic, complemented
147#11718594C2211yescharacteristic, complemented
148#11718594C2211yescharacteristic, complemented
149#11718594C2211yescharacteristic, complemented
150#11718593C2211yescharacteristic, complemented
151C4×#6101C2211yescharacteristic, complemented
152C4×#6101C2211yescharacteristic, complemented
153C4×#6101C2211yescharacteristic, complemented
154C4×#6101C2211yescharacteristic, complemented
155#11718338C2211yescharacteristic
156#11718335C2211yescharacteristic
157#11718330C2211yescharacteristic
158#11718330C2211yescharacteristic, complemented
159#11718329C2211yescharacteristic
160#11718329C2211yescharacteristic
161#11718329C2211yescharacteristic
162#11718329C2211yescharacteristic
163#11718329C2211yescharacteristic, complemented
164#11718328C2211yescharacteristic
165#11718328C2211yescharacteristic, complemented
166#11718327C2211yescharacteristic
167#11718327C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718325C2211yescharacteristic, complemented
173D13×#95C2211yescharacteristic
174D13×#95C2211yescharacteristic
175C13⋊#401C2211yescharacteristic, complemented
176#11718322C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718320C2211yescharacteristic, complemented
179#11718320C2211yescharacteristic, complemented
180#11718319C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718316C2211yescharacteristic, complemented
183#11718315C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C23×Dic13C2311yescharacteristic
197C22×D52C2311yescharacteristic
198C22×D52C2311yescharacteristic
199C22×C4×D13—24no—
200C22×C4×D13—42no—
201C22×C4×D13—42no—
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×C4×D13C2311yescharacteristic
213C13×#124—24no—
214C4×Q8×C13—42no—
215C4×D4×C13—42no—
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊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×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
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×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249#88200—24no—
250#88191—24no—
251C4×C22⋊D13—24no—
252C4×C22⋊D13—42no—
253C4×C22⋊D13—42no—
254C4×C22⋊D13—42no—
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×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279#88180—42no—
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
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
311#88138—24no—
312#88138—24no—
313#88137—24no—
314#88136—24no—
315C22⋊C4×D13—24no—
316C22⋊C4×D13—24no—
317#88130—24no—
318C4×D52—24no—
319C4×D52—24no—
320C4×D52—24no—
321C4×D52—42no—
322C42×D13—42no—
323C42×D13—42no—
324C42×D13—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#34959—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
382C2×Q8×C13—22no—
383C2×Q8×C13—22no—
384C2×Q8×C13—41no—
385C2×D4×C13—22no—
386C2×D4×C13—22no—
387C2×D4×C13—41no—
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×C13C2411yescharacteristic
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
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
407C2×C22⋊D13—22no—
408C2×C22⋊D13—22no—
409C2×C22⋊D13—22no—
410C2×C22⋊D13—22no—
411C2×C22⋊D13—22no—
412C2×C22⋊D13—22no—
413C2×C22⋊D13—22no—
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—41no—
417C2×C22⋊D13—41no—
418C2×C22⋊D13—41no—
419C22×Dic13—22no—
420C22×Dic13—41no—
421C22×Dic13—41no—
422C22×Dic13C2411yescharacteristic
423C22×Dic13C2411yescharacteristic
424C22×Dic13C2411yescharacteristic
425C22×Dic13C2411yescharacteristic
426C22×Dic13C2411yescharacteristic
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C22×Dic13C2411yescharacteristic
430C22×Dic13C2411yescharacteristic
431C22×Dic13C2411yescharacteristic
432C22×Dic13C2411yescharacteristic
433C22×Dic13C2411yescharacteristic
434C22×Dic13C2411yescharacteristic
435C2×D52—22no—
436C2×D52—22no—
437C2×D52—22no—
438C2×D52—22no—
439C2×D52—41no—
440C2×D52#4114yes—
441C2×C4×D13—22no—
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—22no—
463C2×C4×D13—416no—
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×D13—41no—
473C2×C4×D13—41no—
474C2×C4×D13#4114yes—
475C13×C4⋊C4—41no—
476C13×C4⋊C4—41no—
477C13×C4⋊C4—41no—
478C13×C4⋊C4—41no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4—22no—
482C13×C22⋊C4—22no—
483C13×C22⋊C4—22no—
484C13×C22⋊C4—22no—
485C13×C22⋊C4—22no—
486C13×C22⋊C4—41no—
487C13×C22⋊C4—41no—
488C13×C22⋊C4#4114yes—
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—
498C22⋊Dic13—22no—
499C22⋊Dic13—22no—
500C22⋊Dic13—22no—
501C22⋊Dic13—22no—
502C22⋊Dic13—22no—
503C22⋊Dic13—41no—
504C22⋊Dic13—41no—
505C22⋊Dic13—41no—
506C22⋊Dic13—41no—
507C22⋊Dic13—41no—
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—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—22no—
522#6103—22no—
523#6103—22no—
524#6103—22no—
525#6103—41no—
526#6103—41no—
527#6103—41no—
528#6103—41no—
529#6103—41no—
530#6103#4114yes—
531#6103#4114yes—
532C4⋊Dic13—22no—
533C4⋊Dic13—22no—
534C4⋊Dic13—22no—
535C4⋊Dic13—22no—
536C4⋊Dic13—22no—
537C4⋊Dic13—41no—
538C4⋊Dic13—41no—
539C4⋊Dic13—41no—
540#6101—22no—
541#6101—22no—
542#6101—22no—
543#6101—22no—
544#6101—22no—
545#6101—22no—
546#6101—22no—
547#6101—22no—
548#6101—22no—
549#6101—41no—
550#6101—41no—
551#6101—41no—
552C4×Dic13—22no—
553C4×Dic13—22no—
554C4×Dic13—22no—
555C4×Dic13—22no—
556C4×Dic13—22no—
557C4×Dic13—41no—
558C4×Dic13—41no—
559C4×Dic13—41no—
560C4×Dic13—41no—
561C4×Dic13—41no—
562C4×Dic13—41no—
563#2597—131no—
564#2595—131no—
565#2589—131no—
566#2587—131no—
567#2578—131no—
568#2576—131no—
569#2559—131no—
570#2557—131no—
571#2510—131no—
572#2505—131no—
573#2480—131no—
574#2472—131no—
575#2450—131no—
576#2444—131no—
577#2424—131no—
578#2418—131no—
579#2401—131no—
580#2398—131no—
581#2395—131no—
582#2392—131no—
583C4×#126—131no—
584C4×#124D1311yescharacteristic, complemented
585C4×C22⋊Q8—131no—
586C4×#123—131no—
587C4×#121—131no—
588C4×#121—131no—
589C4×#120—131no—
590C4×#120—131no—
591#2290—131no—
592C42×D4—131no—
593C2×C4×C22⋊C4—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×C13C2×#4112yes—
608C23×C13C2511yescharacteristic
609C22×D13—21no—
610C22×D13—21no—
611C22×D13—21no—
612C22×D13—21no—
613C22×D13—28no—
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—21no—
625C22×D13—21no—
626C22×D13—44no—
627C22×D13—44no—
628C22×D13—44no—
629C22×D13—44no—
630C22×D13—44no—
631C22×D13—44no—
632C22×D13C2×#4112yes—
633C22×D13C2×#4112yes—
634C22×D13C2×#4112yes—
635C22×D13C2×#4112yes—
636C22×D13C2×#4112yes—
637Q8×C13—44no—
638D4×C13—44no—
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—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—44no—
671C2×C4×C13—44no—
672C2×C4×C13C2×#4112yes—
673C2×C4×C13C2×#4112yes—
674C2×C4×C13C2×#4112yes—
675C2×C4×C13C2×#4112yes—
676C2×C4×C13C2×#4112yes—
677C2×C4×C13C2×#4112yes—
678C2×C4×C13H(5,𝔽2)12yes—
679C2×C4×C13H(5,𝔽2)12yes—
680C22⋊D13—44no—
681C22⋊D13—44no—
682C22⋊D13—44no—
683C22⋊D13—44no—
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—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—44no—
721C2×Dic13C2×#4112yes—
722C2×Dic13C2×#4112yes—
723C2×Dic13C2×#4112yes—
724D52—28no—
725D52—44no—
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—
736C4×D13—44no—
737C24×C4—131no—
738C2×#126—131no—
739C2×#124C2×D1311yescharacteristic
740C2×#123—131no—
741C2×C22⋊Q8—131no—
742C2×#121—131no—
743C2×#121—131no—
744C2×#120—131no—
745C2×#120—131no—
746C2×C4×Q8C2×D1311yescharacteristic, complemented
747C2×C4×D4—131no—
748C2×C4×D4—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×D4C2×D1311yescharacteristic
756C2×#117—131no—
757C22×C22⋊C4—131no—
758C22×C22⋊C4—131no—
759C22×C42—131no—
760C22×C42—131no—
761C22×C42—131no—
762#401—131no—
763#400—131no—
764#400—131no—
765#400—131no—
766#400—131no—
767#400—131no—
768#400—131no—
769#399—131no—
770#398—131no—
771#398—131no—
772#397—131no—
773#397—131no—
774#397—131no—
775#397—131no—
776#397—131no—
777#397—131no—
778#397—131no—
779#397—131no—
780#397—131no—
781#396—131no—
782#396—131no—
783#396—131no—
784#394—131no—
785#394—131no—
786#394—131no—
787#394—131no—
788#394—131no—
789#394—131no—
790#394—131no—
791#393—131no—
792#393—131no—
793#392—131no—
794#391—131no—
795#391C2×D1311yescharacteristic, complemented
796#390—131no—
797#390—131no—
798#390C2×D1311yescharacteristic
799#389—131no—
800#389—131no—
801#389—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#388—131no—
812#388—131no—
813#388C2×D1311yescharacteristic
814#388C2×D1311yescharacteristic
815#388C2×D1311yescharacteristic, complemented
816#388C2×D1311yescharacteristic, complemented
817#387—131no—
818#387—131no—
819#387—131no—
820#387—131no—
821#387—131no—
822#387—131no—
823#387—131no—
824#387—131no—
825#387—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#386—131no—
836#386—131no—
837#386—131no—
838#386—131no—
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#385—131no—
850#383—131no—
851#382C2×D1311yescharacteristic, complemented
852#381—131no—
853#380—131no—
854#380—131no—
855#380—131no—
856#379—131no—
857#379—131no—
858C4×C4⋊C4—131no—
859C4×C4⋊C4—131no—
860C4×C4⋊C4—131no—
861C4×C4⋊C4—131no—
862C4×C4⋊C4—131no—
863C4×C4⋊C4—131no—
864C4×C4⋊C4—131no—
865C4×C4⋊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⋊C4—131no—
879C4×C22⋊C4—131no—
880C4×C22⋊C4—131no—
881C4×C22⋊C4—131no—
882C4×C22⋊C4—131no—
883C4×C22⋊C4—131no—
884C4×C22⋊C4C2×D1311yescharacteristic
885C4×C22⋊C4C2×D1311yescharacteristic
886C4×C22⋊C4C2×D1311yescharacteristic, complemented
887C4×C22⋊C4C2×D1311yescharacteristic, complemented
888#376—131no—
889C2×#95—131no—
890C2×#95—131no—
891C43C2×D1311yescharacteristic, complemented
892C22×C13—22no—
893C22×C13—22no—
894C22×C13—22no—
895C22×C13—41no—
896C22×C13—41no—
897C22×C13—41no—
898C22×C13—41no—
899C22×C13—41no—
900C22×C13—41no—
901C22×C13—41no—
902C22×C13—41no—
903C22×C13—41no—
904C22×C13—41no—
905C22×C13—41no—
906C22×C13C22×#4111yescharacteristic
907C22×C13C22×#4111yescharacteristic
908C22×C13C22×#4111yescharacteristic
909C22×C13C22×#4111yescharacteristic
910C22×C13C22×#4111yescharacteristic
911C22×C13C2×H(5,𝔽2)11yescharacteristic
912C22×C13C2×H(5,𝔽2)11yescharacteristic
913C2×D13—22no—
914C2×D13—22no—
915C2×D13—22no—
916C2×D13—22no—
917C2×D13—22no—
918C2×D13—22no—
919C2×D13—22no—
920C2×D13—22no—
921C2×D13—22no—
922C2×D13—22no—
923C2×D13—22no—
924C2×D13—22no—
925C2×D13—416no—
926C2×D13—41no—
927C2×D13—41no—
928C2×D13—41no—
929C2×D13—41no—
930C2×D13—41no—
931C2×D13—41no—
932C2×D13—41no—
933C2×D13—41no—
934C2×D13#52914yes—
935C4×C13—22no—
936C4×C13—22no—
937C4×C13—22no—
938C4×C13—22no—
939C4×C13—22no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946C4×C13—41no—
947C4×C13#53814yes—
948Dic13—22no—
949Dic13—22no—
950Dic13—22no—
951Dic13—41no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960Dic13—41no—
961C25—131no—
962C22×Q8C22×D1311yescharacteristic
963C22×D4—131no—
964C22×D4—131no—
965C22×D4—131no—
966C22×D4—131no—
967C22×D4—131no—
968C22×D4—131no—
969C22×D4C22×D1311yescharacteristic
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×C4—131no—
979C23×C4—131no—
980C23×C4—131no—
981C23×C4—131no—
982C23×C4—264no—
983C23×C4—522no—
984C23×C4—522no—
985C23×C4C22×D1311yescharacteristic
986C23×C4C22×D1311yescharacteristic
987#126—264no—
988#124—24no—
989#123—264no—
990C22⋊Q8—264no—
991#121—264no—
992#121—264no—
993#120—264no—
994#120—264no—
995C4×Q8—42no—
996C4×D4—42no—
997C4×D4—264no—
998C4×D4—264no—
999C4×D4—264no—
1000C4×D4—264no—
1001C4×D4—522no—
1002C4×D4—522no—
1003C4×D4—522no—
1004C4×D4—522no—
1005#117—522no—
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×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—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—264no—
1065C2×C22⋊C4—264no—
1066C2×C22⋊C4C22×D1311yescharacteristic
1067C2×C22⋊C4C22×D1311yescharacteristic
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×C42—131no—
1077C2×C42—131no—
1078C2×C42—131no—
1079C2×C42—131no—
1080C2×C42—131no—
1081C2×C42—131no—
1082C2×C42—131no—
1083C2×C42—131no—
1084C2×C42—131no—
1085C2×C42—131no—
1086C2×C42—131no—
1087C2×C42—522no—
1088C2×C42—522no—
1089C2×C42—522no—
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
1099#95—131no—
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#95C22×D1311yescharacteristic
1136#95C22×D1311yescharacteristic
1137#95C22×D1311yescharacteristic
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143C2×C13—42no—
1144C2×C13—81no—
1145C2×C13C2×#52911yescharacteristic
1146C2×C13#344411yescharacteristic
1147C2×C13C2×#53811yescharacteristic
1148C2×C13#348111yescharacteristic
1149C2×C13#348111yescharacteristic
1150C2×C13#348111yescharacteristic
1151C2×C13#348111yescharacteristic
1152D13—24no—
1153D13—42no—
1154D13—42no—
1155C24—131no—
1156C24—131no—
1157C24—131no—
1158C24—262no—
1159C24—262no—
1160C24—262no—
1161C24—262no—
1162C24—262no—
1163C24—521no—
1164C24—521no—
1165C24C23×D1311yescharacteristic
1166C24C23×D1311yescharacteristic
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—41no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—41no—
1173C2×D4—134no—
1174C2×D4—262no—
1175C2×D4—262no—
1176C2×D4—262no—
1177C2×D4—262no—
1178C2×D4—262no—
1179C2×D4—262no—
1180C2×D4—262no—
1181C2×D4—262no—
1182C2×D4—262no—
1183C2×D4—262no—
1184C2×D4—262no—
1185C2×D4—262no—
1186C2×D4—262no—
1187C2×D4—521no—
1188C2×D4—521no—
1189C2×D4—521no—
1190C2×D4—521no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—131no—
1198C22×C4—131no—
1199C22×C4—131no—
1200C22×C4—134no—
1201C22×C4—131no—
1202C22×C4—131no—
1203C22×C4—131no—
1204C22×C4—131no—
1205C22×C4—131no—
1206C22×C4—131no—
1207C22×C4—131no—
1208C22×C4—131no—
1209C22×C4—131no—
1210C22×C4—131no—
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—262no—
1228C22×C4—262no—
1229C22×C4—262no—
1230C22×C4—262no—
1231C22×C4—262no—
1232C22×C4—262no—
1233C22×C4—262no—
1234C22×C4—521no—
1235C22×C4—521no—
1236C22×C4—521no—
1237C22×C4—521no—
1238C22×C4—521no—
1239C22×C4—521no—
1240C22×C4—521no—
1241C22×C4—521no—
1242C22×C4—521no—
1243C22×C4—521no—
1244C22×C4—5216no—
1245C22×C4—521no—
1246C22×C4—521no—
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
1257C22×C4C23×D1311yescharacteristic
1258C22×C4C23×D1311yescharacteristic
1259C22×C4C23×D1311yescharacteristic
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—262no—
1265C4⋊C4—262no—
1266C4⋊C4—262no—
1267C4⋊C4—262no—
1268C4⋊C4—262no—
1269C4⋊C4—262no—
1270C4⋊C4—262no—
1271C4⋊C4—262no—
1272C4⋊C4—262no—
1273C4⋊C4—262no—
1274C4⋊C4—262no—
1275C4⋊C4—262no—
1276C4⋊C4—262no—
1277C4⋊C4—262no—
1278C4⋊C4—521no—
1279C4⋊C4—521no—
1280C4⋊C4—521no—
1281C4⋊C4—521no—
1282C4⋊C4—521no—
1283C4⋊C4—521no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—134no—
1294C22⋊C4—134no—
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—262no—
1307C22⋊C4—262no—
1308C22⋊C4—262no—
1309C22⋊C4—262no—
1310C22⋊C4—262no—
1311C22⋊C4—262no—
1312C22⋊C4—262no—
1313C22⋊C4—262no—
1314C22⋊C4—262no—
1315C22⋊C4—262no—
1316C22⋊C4—262no—
1317C22⋊C4—521no—
1318C22⋊C4—521no—
1319C22⋊C4—521no—
1320C22⋊C4—521no—
1321C22⋊C4—521no—
1322C22⋊C4—521no—
1323C22⋊C4—521no—
1324C22⋊C4—521no—
1325C22⋊C4—521no—
1326C22⋊C4—521no—
1327C22⋊C4#612714yes—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—262no—
1338C42—262no—
1339C42—262no—
1340C42—262no—
1341C42—262no—
1342C42—521no—
1343C42—521no—
1344C42—521no—
1345C42—521no—
1346C42—521no—
1347C42—521no—
1348C13#3495911yescharacteristic, complemented, Sylow
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—132no—
1363C23—132no—
1364C23—132no—
1365C23—132no—
1366C23—132no—
1367C23—268no—
1368C23—261no—
1369C23—261no—
1370C23—261no—
1371C23—261no—
1372C23—261no—
1373C23—261no—
1374C23—261no—
1375C23—261no—
1376C23—261no—
1377C23—261no—
1378C23—261no—
1379C23—261no—
1380C23—261no—
1381C23—261no—
1382C23—261no—
1383C23—261no—
1384C23—524no—
1385C23—524no—
1386C23—524no—
1387C23—524no—
1388C23—524no—
1389C23—524no—
1390C23C2×#612712yes—
1391C23C24×D1311yescharacteristic
1392Q8—44no—
1393D4—44no—
1394D4—268no—
1395D4—524no—
1396D4—524no—
1397D4—524no—
1398D4—524no—
1399D4—524no—
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—21no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—132no—
1434C2×C4—132no—
1435C2×C4—132no—
1436C2×C4—261no—
1437C2×C4—261no—
1438C2×C4—261no—
1439C2×C4—261no—
1440C2×C4—261no—
1441C2×C4—261no—
1442C2×C4—268no—
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—524no—
1474C2×C4—524no—
1475C2×C4—524no—
1476C2×C4—524no—
1477C2×C4—524no—
1478C2×C4—524no—
1479C2×C4—524no—
1480C2×C4—524no—
1481C2×C4—524no—
1482C2×C4—524no—
1483C2×C4—524no—
1484C2×C4C2×#612712yes—
1485C2×C4C2×#612712yes—
1486C2×C4#8825112yes—
1487C2×C4#41×D1312yes—
1488C2×C4#41×D1312yes—
1489C2×C4#41×D1312yes—
1490C2×C4#41×D1312yes—
1491C2×C4#8825612yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—134no—
1507C22—262no—
1508C22—262no—
1509C22—262no—
1510C22—262no—
1511C22—262no—
1512C22—262no—
1513C22—262no—
1514C22—262no—
1515C22—262no—
1516C22—262no—
1517C22—262no—
1518C22—262no—
1519C22—5216no—
1520C22—521no—
1521C22—521no—
1522C22—521no—
1523C22—521no—
1524C22—521no—
1525C22—521no—
1526C22—521no—
1527C22—521no—
1528C22C22×#612711yescharacteristic
1529C22C2×#8825111yescharacteristic
1530C22C2×#41×D1311yescharacteristic
1531C22C2×#41×D1311yescharacteristic
1532C22C2×#41×D1311yescharacteristic
1533C22C2×#41×D1311yescharacteristic
1534C22C2×#8825611yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—262no—
1548C4—262no—
1549C4—262no—
1550C4—521no—
1551C4—521no—
1552C4—521no—
1553C4—521no—
1554C4—521no—
1555C4—521no—
1556C4—521no—
1557C4—521no—
1558C4—521no—
1559C4—521no—
1560C4#1171938314yes—
1561C2—42no—
1562C2—81no—
1563C2—264no—
1564C2—522no—
1565C2—522no—
1566C2D13×#52911yescharacteristic
1567C2#1312812911yescharacteristic
1568C2C2×#1171938311yescharacteristic
1569C2#1312844011yescharacteristic
1570C2#1312844211yescharacteristic
1571C2#1312844411yescharacteristic
1572C2#1312844611yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC4×C13×#124C2
prime radical#13118379C2
hypercenterC4×#124D13
hypocenterC13#34959
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C4×#124

Complements

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

NH ≅ G/Ntype
1. #13120391C2semidirect
2. #13120353C2semidirect
3. #13120291C2semidirect
4. #13120253C2semidirect
5. #13120176C2semidirect
6. #13120138C2semidirect
7. #13119971C2semidirect
8. #13119933C2semidirect
9. #13119401C2semidirect
10. #13119336C2semidirect
11. #13119086C2semidirect
12. #13118958C2semidirect
13. #13118657C2semidirect
14. #13118593C2semidirect
16. #13118303C2semidirect
17. #13118136C2semidirect
18. #13118119C2semidirect
19. #13118096C2semidirect
20. #13118078C2semidirect
21. C4×#88130C2semidirect
22. C4×#88200C2semidirect
23. C4×#88137C2semidirect
24. C4×#88138C2semidirect
25. C4×#88138C2semidirect
26. C4×#88136C2semidirect
27. C4×#88191C2semidirect
28. #13117282C2semidirect
29. C42×D52C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C4×C13×#124C2semidirect
34. C2×C4×Q8×C13C22semidirect
41. C2×C4×C22⋊D13C22semidirect
42. C2×#88180C22semidirect
56. C2×C42×D13C22semidirect
57. C13×#391C22semidirect
61. C13×#388C22semidirect
62. C13×#388C22semidirect
63. C13×#382C22semidirect
66. C4×C13×C22⋊C4C22semidirect
67. C4×C13×C22⋊C4C22semidirect
68. C43×C13C22semidirect
70. #11718892C22semidirect
71. #11718891C22semidirect
77. #11718655C22semidirect
79. #11718654C22semidirect
87. #11718647C22semidirect
88. #11718647C22semidirect
89. #11718645C22semidirect
90. #11718639C22semidirect
91. #11718639C22semidirect
92. #11718634C22semidirect
96. #11718620C22semidirect
99. #11718618C22semidirect
106. #11718617C22semidirect
110. #11718614C22semidirect
111. #11718614C22semidirect
114. #11718613C22semidirect
116. #11718612C22semidirect
117. #11718612C22semidirect
123. #11718606C22semidirect
124. #11718606C22semidirect
138. C4×#6103C22semidirect
139. C4×#6103C22semidirect
140. C4×#6103C22semidirect
141. C4×#6103C22semidirect
142. #11718598C22semidirect
143. C4×C4⋊Dic13C22semidirect
144. C4×C4⋊Dic13C22semidirect
145. C4×C4⋊Dic13C22semidirect
146. C4×C4⋊Dic13C22semidirect
147. #11718594C22semidirect
148. #11718594C22semidirect
149. #11718594C22semidirect
150. #11718593C22semidirect
151. C4×#6101C22semidirect
152. C4×#6101C22semidirect
153. C4×#6101C22semidirect
154. C4×#6101C22semidirect
158. #11718330C22semidirect
163. #11718329C22semidirect
165. #11718328C22semidirect
172. #11718325C22semidirect
175. C13⋊#401C22semidirect
176. #11718322C22semidirect
177. #11718321C22semidirect
178. #11718320C22semidirect
179. #11718320C22semidirect
180. #11718319C22semidirect
181. #11718316C22semidirect
182. #11718316C22semidirect
183. #11718315C22semidirect
184. #11718313C22semidirect
185. #11718308C22semidirect
186. #11718308C22semidirect
584. C4×#124D13semidirect
746. C2×C4×Q8C2×D13semidirect
795. #391C2×D13semidirect
815. #388C2×D13semidirect
816. #388C2×D13semidirect
851. #382C2×D13semidirect
886. C4×C22⋊C4C2×D13semidirect
887. C4×C22⋊C4C2×D13semidirect
891. C43C2×D13semidirect
1348. C13#34959semidirect

Maximal subgroups

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

subgroupindex
#131203912
#131203532
#131202912
#131202532
#131201762
#131201382
#131199712
#131199332
#131194012
#131193362
#131190862
#131189582
#131186572
#131185932
#131183792
#131183032
#131181362
#131181192
#131180962
#131180782
C4×#881302
C4×#882002
C4×#881372
C4×#881382
C4×#881362
C4×#881912
#131172822
C42×D522
C4×C22⋊C4×D132
C4×C13×#1242
#3495913