Finite Group Databasebeta

← C4×#11719261 #16022801

Subgroups — C4×#11719261 #16022801

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×#11719261C211yesmaximal, characteristic
2#13117967C211yesmaximal, characteristic, complemented
3#13117952C211yesmaximal, characteristic, complemented
4#13117950C211yesmaximal, characteristic, complemented
5#13117944C211yesmaximal, characteristic, complemented
6#13117920C211yesmaximal, characteristic, complemented
7#13117919C211yesmaximal, characteristic, complemented
8#13117829C211yesmaximal, characteristic, complemented
9#13117822C211yesmaximal, characteristic, complemented
10#13117813C211yesmaximal, characteristic
11#13117779C211yesmaximal, characteristic, complemented
12#13117776C211yesmaximal, characteristic, complemented
13#13117699C211yesmaximal, characteristic, complemented
14#13117690C211yesmaximal, characteristic, complemented
15#13117688C211yesmaximal, characteristic, complemented
16#13117679C211yesmaximal, characteristic, complemented
17C4×#88152C211yesmaximal, characteristic, complemented
18C4×#88130C211yesmaximal, characteristic, complemented
19C4×#88139C211yesmaximal, characteristic, complemented
20C4×#88178C211yesmaximal, characteristic, complemented
21C4×#88150C211yesmaximal, characteristic, complemented
22C4×#88183C211yesmaximal, characteristic, complemented
23C4×#88137C211yesmaximal, characteristic, complemented
24C4×#88189C211yesmaximal, characteristic, complemented
25C4×#88191C211yesmaximal, characteristic
26C42×C22⋊D13C211yesmaximal, characteristic, complemented
27C4×#88126C211yesmaximal, characteristic, complemented
28C4×#88131C211yesmaximal, characteristic, complemented
29C2×C4×#6103C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C42×D4×C13C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C4×D4×C13C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C22×C42×C13C2211yescharacteristic
37C22×C42×C13C2211yescharacteristic, complemented
38C2×#88191C2211yescharacteristic
39C2×#88189C2211yescharacteristic
40C2×#88183C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic
45C22×#6103C2211yescharacteristic
46C22×#6103C2211yescharacteristic
47C2×#88178C2211yescharacteristic
48C22×C4×Dic13C2211yescharacteristic
49#11719261C4116yesdirect product factor
50C2×#88152C2211yescharacteristic
51C2×#88150C2211yescharacteristic
52C2×#88139C2211yescharacteristic
53C2×#88137C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×#88131C2211yescharacteristic
57C2×#88131C2211yescharacteristic
58C2×#88130C2211yescharacteristic
59C2×#88126C2211yescharacteristic
60C2×#88126C2211yescharacteristic
61C2×C42×D13C2211yescharacteristic
62C2×C42×D13C2211yescharacteristic
63C2×C4×Dic26C2211yescharacteristic, complemented
64C4×C13×C4⋊C4C2211yescharacteristic, complemented
65C4×C13×C4⋊C4C2211yescharacteristic, complemented
66C4×C13×C4⋊C4C2211yescharacteristic, complemented
67C4×C13×C22⋊C4C2211yescharacteristic
68C4×C13×C22⋊C4C2211yescharacteristic
69C4×C13×C22⋊C4C2211yescharacteristic
70C4×C13×C22⋊C4C2211yescharacteristic, complemented
71C4×C13×C22⋊C4C2211yescharacteristic, complemented
72C4×C13×C22⋊C4C2211yescharacteristic, complemented
73C43×C13C2211yescharacteristic, complemented
74#11718881C2211yescharacteristic
75#11718881C2211yescharacteristic
76#11718874C2211yescharacteristic
77#11718873C2211yescharacteristic
78#11718872C2211yescharacteristic, complemented
79#11718871C2211yescharacteristic
80#11718871C2211yescharacteristic
81#11718871C2211yescharacteristic, complemented
82C4×C22⋊Dic13C2211yescharacteristic
83C4×C22⋊Dic13C2211yescharacteristic
84C4×C22⋊Dic13C2211yescharacteristic, complemented
85C4×C22⋊Dic13C2211yescharacteristic, complemented
86C4×C22⋊Dic13C2211yescharacteristic, complemented
87C4×C22⋊Dic13C2211yescharacteristic, complemented
88C2×#88071C2211yescharacteristic
89C2×#88071C2211yescharacteristic
90#11718651C2211yescharacteristic
91#11718650C2211yescharacteristic
92#11718650C2211yescharacteristic
93#11718650C2211yescharacteristic
94#11718642C2211yescharacteristic, complemented
95#11718642C2211yescharacteristic, complemented
96#11718639C2211yescharacteristic, complemented
97#11718639C2211yescharacteristic, complemented
98#11718639C2211yescharacteristic, complemented
99#11718633C2211yescharacteristic, complemented
100#11718618C2211yescharacteristic
101#11718617C2211yescharacteristic
102#11718617C2211yescharacteristic
103#11718617C2211yescharacteristic
104#11718616C2211yescharacteristic
105#11718612C2211yescharacteristic, complemented
106#11718612C2211yescharacteristic, complemented
107#11718607C2211yescharacteristic
108#11718607C2211yescharacteristic
109#11718606C2211yescharacteristic, complemented
110#11718605C2211yescharacteristic, complemented
111#11718605C2211yescharacteristic, complemented
112#11718605C2211yescharacteristic, complemented
113#11718604C2211yescharacteristic
114C22⋊C4×Dic13C2211yescharacteristic
115C22⋊C4×Dic13C2211yescharacteristic
116C22⋊C4×Dic13C2211yescharacteristic
117C22⋊C4×Dic13C2211yescharacteristic
118#11718601C2211yescharacteristic
119#11718601C2211yescharacteristic
120#11718601C2211yescharacteristic
121#11718601C2211yescharacteristic
122#11718601C2211yescharacteristic
123C4×#6103C2211yescharacteristic
124C4×#6103C2211yescharacteristic
125C4×#6103C2211yescharacteristic
126C4×#6103C2211yescharacteristic
127C4×#6103C2211yescharacteristic
128C4×#6103C2211yescharacteristic
129C4×#6103C2211yescharacteristic
130C4×#6103C2211yescharacteristic
131C4×#6103C2211yescharacteristic
132C4×#6103C2211yescharacteristic
133C4×#6103C2211yescharacteristic
134C4×#6103C2211yescharacteristic
135C4×#6103C2211yescharacteristic
136C4×#6103C2211yescharacteristic
137C4×#6103C2211yescharacteristic
138C4×#6103C2211yescharacteristic
139#11718598C2211yescharacteristic, complemented
140C4×C4⋊Dic13C2211yescharacteristic, complemented
141#11718594C2211yescharacteristic, complemented
142#11718594C2211yescharacteristic, complemented
143#11718594C2211yescharacteristic, complemented
144#11718594C2211yescharacteristic, complemented
145#11718594C2211yescharacteristic, complemented
146#11718594C2211yescharacteristic, complemented
147#11718594C2211yescharacteristic, complemented
148#11718593C2211yescharacteristic, complemented
149#11718593C2211yescharacteristic, complemented
150C4×#6101C2211yescharacteristic, complemented
151C4×#6101C2211yescharacteristic, complemented
152C4×#6101C2211yescharacteristic, complemented
153C4×#6101C2211yescharacteristic, complemented
154C4×#6101C2211yescharacteristic, complemented
155C4×#6101C2211yescharacteristic, complemented
156C4×#6101C2211yescharacteristic, complemented
157C4×#6101C2211yescharacteristic, complemented
158C4×#6101C2211yescharacteristic, complemented
159C4×#6101C2211yescharacteristic, complemented
160C42×Dic13C2211yescharacteristic, complemented
161C42×Dic13C2211yescharacteristic, complemented
162#11718590C2211yescharacteristic, complemented
163#11718589C2211yescharacteristic, complemented
164#11718331C2211yescharacteristic
165#11718331C2211yescharacteristic
166#11718330C2211yescharacteristic
167#11718330C2211yescharacteristic
168#11718329C2211yescharacteristic
169#11718329C2211yescharacteristic
170#11718328C2211yescharacteristic
171#11718327C2211yescharacteristic
172#11718327C2211yescharacteristic
173#11718325C2211yescharacteristic
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176#11718315C2211yescharacteristic, complemented
177#11718315C2211yescharacteristic, complemented
178#11718313C2211yescharacteristic, complemented
179#11718313C2211yescharacteristic, complemented
180#11718312C2211yescharacteristic, complemented
181#11718311C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718309C2211yescharacteristic, complemented
185#11718309C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C22×C4×D13—24no—
202C22×C4×D13—24no—
203C22×C4×D13—42no—
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
213C4×D4×C13—24no—
214C4×D4×C13—24no—
215C4×D4×C13C2×C418yescomplemented
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×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C42×C13—42no—
226C2×C42×C13—42no—
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
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250#88191C2×C418yes—
251#88189C2×C418yescomplemented
252#88183C2×C418yescomplemented
253C4×C22⋊D13—24no—
254C4×C22⋊D13—24no—
255C4×C22⋊D13—42no—
256C4×C22⋊D13C2×C418yescomplemented
257C2×#6103—24no—
258C2×#6103C2×C418yescomplemented
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×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280#88178C2×C418yescomplemented
281C2×#6101C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×C4×Dic13—24no—
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318#88152C2×C418yescomplemented
319#88150C2×C418yescomplemented
320#88139C2×C418yescomplemented
321#88137C2×C418yescomplemented
322C22⋊C4×D13—24no—
323C22⋊C4×D13C2×C418yescomplemented
324#88131—24no—
325#88131C2×C418yescomplemented
326#88130C2×C418yescomplemented
327#88126—24no—
328#88126C2×C418yescomplemented
329C42×D13—24no—
330C42×D13—42no—
331C4×Dic26—42no—
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376C4×#551—131nomaximal, Sylow
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C23×D13—22no—
380C23×D13—22no—
381C23×D13—22no—
382C23×D13—22no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13C22×C414yes—
386C23×D13C2411yescharacteristic
387C23×D13C2411yescharacteristic
388C2×D4×C13—22no—
389C2×D4×C13—22no—
390C2×D4×C13C22×C414yes—
391C22×C4×C13—22no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
395C22×C4×C13—22no—
396C22×C4×C13—22no—
397C22×C4×C13—22no—
398C22×C4×C13—22no—
399C22×C4×C13—22no—
400C22×C4×C13—41no—
401C22×C4×C13—41no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13—41no—
406C22×C4×C13C22×C414yes—
407C22×C4×C13C22×C414yescomplemented
408C22×C4×C13#4114yes—
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C2×C22⋊D13—22no—
423C2×C22⋊D13—22no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13—41no—
426C2×C22⋊D13C22×C414yes—
427C2×C22⋊D13C22×C414yes—
428C22×Dic13—22no—
429C22×Dic13—22no—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—22no—
433C22×Dic13—22no—
434C22×Dic13—41no—
435C22×Dic13—41no—
436C22×Dic13C22×C414yes—
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
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—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—416no—
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×D13C22×C414yes—
474C2×C4×D13C22×C414yes—
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×C22⋊C4—22no—
483C13×C22⋊C4—22no—
484C13×C22⋊C4—22no—
485C13×C22⋊C4C22×C414yes—
486C13×C22⋊C4C22×C414yescomplemented
487C13×C22⋊C4#4114yes—
488C42×C13—22no—
489C42×C13—22no—
490C42×C13—22no—
491C42×C13—22no—
492C42×C13—22no—
493C42×C13—22no—
494C42×C13—22no—
495C42×C13—41no—
496C42×C13—41no—
497C42×C13—41no—
498C42×C13—41no—
499C42×C13—41no—
500C42×C13C22×C414yescomplemented
501C22⋊Dic13—22no—
502C22⋊Dic13—22no—
503C22⋊Dic13—22no—
504C22⋊Dic13—22no—
505C22⋊Dic13—41no—
506C22⋊Dic13—41no—
507C22⋊Dic13C22×C414yes—
508C22⋊Dic13C22×C414yes—
509C22⋊Dic13C22×C414yescomplemented
510C22⋊Dic13C22×C414yescomplemented
511#6103—22no—
512#6103—22no—
513#6103—22no—
514#6103—22no—
515#6103—22no—
516#6103—22no—
517#6103—22no—
518#6103—41no—
519#6103—41no—
520#6103C22×C414yes—
521#6103C22×C414yes—
522#6103C22×C414yes—
523#6103C22×C414yes—
524#6103C22×C414yes—
525#6103C22×C414yes—
526#6103C22×C414yes—
527#6103C22×C414yes—
528#6103#4114yes—
529C4⋊Dic13—41no—
530C4⋊Dic13—41no—
531C4⋊Dic13C22×C414yescomplemented
532#6101—22no—
533#6101—22no—
534#6101—22no—
535#6101—22no—
536#6101—22no—
537#6101—22no—
538#6101—41no—
539#6101—41no—
540#6101—41no—
541#6101—41no—
542#6101C22×C414yescomplemented
543#6101C22×C414yescomplemented
544#6101C22×C414yescomplemented
545#6101C22×C414yescomplemented
546#6101C22×C414yescomplemented
547#6101C22×C414yescomplemented
548C4×Dic13—22no—
549C4×Dic13—22no—
550C4×Dic13—22no—
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—22no—
561C4×Dic13—22no—
562C4×Dic13—41no—
563C4×Dic13—41no—
564C4×Dic13—41no—
565C4×Dic13—41no—
566C4×Dic13C22×C414yescomplemented
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×D4D1311yescharacteristic, complemented
595C4×#117—131no—
596C4×#117—131no—
597C2×C4×C22⋊C4—131no—
598C2×C4×C22⋊C4—131no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13C23×C412yes—
610C23×C13C23×C412yes—
611C23×C13C2×#4112yes—
612C23×C13C2×#4112yes—
613C23×C13C2511yescharacteristic
614C22×D13—21no—
615C22×D13—21no—
616C22×D13—21no—
617C22×D13—21no—
618C22×D13—28no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—28no—
626C22×D13—44no—
627C22×D13—44no—
628C22×D13—44no—
629C22×D13—44no—
630C22×D13—44no—
631C22×D13C23×C412yes—
632C22×D13C23×C412yes—
633C22×D13C2×#4112yes—
634C22×D13C2×#4112yes—
635D4×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—28no—
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—44no—
665C2×C4×C13—44no—
666C2×C4×C13—44no—
667C2×C4×C13—44no—
668C2×C4×C13—44no—
669C2×C4×C13C23×C412yes—
670C2×C4×C13C23×C412yes—
671C2×C4×C13C23×C412yes—
672C2×C4×C13C23×C412yes—
673C2×C4×C13C23×C412yes—
674C2×C4×C13C2×#4112yes—
675C2×C4×C13C2×#4112yes—
676C2×C4×C13C2×#4112yes—
677C2×C4×C13C2×#4112yes—
678C2×C4×C13C2×#4112yes—
679C2×C4×C13C2×#4112yes—
680C2×C4×C13H(5,𝔽2)12yes—
681C22⋊D13—28no—
682C22⋊D13—44no—
683C2×Dic13—28no—
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—44no—
719C2×Dic13—44no—
720C2×Dic13C23×C412yes—
721C2×Dic13C23×C412yes—
722C2×Dic13C23×C412yes—
723C2×Dic13C23×C412yes—
724C2×Dic13C23×C412yes—
725C2×Dic13C23×C412yes—
726C2×Dic13C2×#4112yes—
727C2×Dic13C2×#4112yes—
728C4×D13—28no—
729C4×D13—28no—
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×D4C2×D1311yescharacteristic
754C2×C4×D4C2×D1311yescharacteristic
755C2×C4×D4C2×D1311yescharacteristic
756C2×#117—131no—
757C2×#117—131no—
758C2×#117—131no—
759C2×#117—131no—
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×C42C2×D1311yescharacteristic
768C22×C42C2×D1311yescharacteristic, complemented
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⋊C4—131no—
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⋊C4C2×D1311yescharacteristic
877C4×C22⋊C4C2×D1311yescharacteristic
878C4×C22⋊C4C2×D1311yescharacteristic
879C4×C22⋊C4C2×D1311yescharacteristic, complemented
880C4×C22⋊C4C2×D1311yescharacteristic, complemented
881C4×C22⋊C4C2×D1311yescharacteristic, complemented
882#376—131no—
883#376—131no—
884#376—131no—
885#376—131no—
886C2×#95—131no—
887C2×#95—131no—
888C2×#95—131no—
889C2×#95—131no—
890C43—131no—
891C43—131no—
892C43C2×D1311yescharacteristic, complemented
893C22×C13—22no—
894C22×C13—22no—
895C22×C13—22no—
896C22×C13—22no—
897C22×C13—22no—
898C22×C13—22no—
899C22×C13—22no—
900C22×C13—22no—
901C22×C13—22no—
902C22×C13—41no—
903C22×C13—41no—
904C22×C13—41no—
905C22×C13—41no—
906C22×C13C4×#4114yes—
907C22×C13C24×C411yescharacteristic
908C22×C13C22×#4111yescharacteristic
909C22×C13C22×#4111yescharacteristic
910C22×C13C22×#4111yescharacteristic
911C22×C13C22×#4111yescharacteristic
912C22×C13C2×H(5,𝔽2)11yescharacteristic
913C22×C13#58511yescharacteristic
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—416no—
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—41no—
939C4×C13—41no—
940C4×C13—41no—
941C4×C13#55114yescomplemented
942Dic13—22no—
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×D4C22×D1311yescharacteristic
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—264no—
973C23×C4—264no—
974C23×C4—522no—
975C23×C4C22×D1311yescharacteristic
976C23×C4C22×D1311yescharacteristic
977C23×C4C22×D1311yescharacteristic
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—24no—
992C4×D4—24no—
993C4×D4—138no—
994C4×D4—264no—
995C4×D4—264no—
996C4×D4—522no—
997C4×D4C4×D1318yescomplemented
998#117—138no—
999#117—138no—
1000#117—264no—
1001#117—264no—
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⋊C4—131no—
1021C2×C4⋊C4C22×D1311yescharacteristic
1022C2×C4⋊C4C22×D1311yescharacteristic
1023C2×C4⋊C4C22×D1311yescharacteristic
1024C2×C22⋊C4—131no—
1025C2×C22⋊C4—131no—
1026C2×C22⋊C4—131no—
1027C2×C22⋊C4—131no—
1028C2×C22⋊C4—138no—
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—264no—
1055C2×C22⋊C4—264no—
1056C2×C22⋊C4C22×D1311yescharacteristic
1057C2×C22⋊C4C22×D1311yescharacteristic
1058C2×C22⋊C4C22×D1311yescharacteristic
1059C2×C22⋊C4C22×D1311yescharacteristic
1060C2×C22⋊C4C22×D1311yescharacteristic
1061C2×C22⋊C4C22×D1311yescharacteristic
1062C2×C42—42no—
1063C2×C42—42no—
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—131no—
1081C2×C42—131no—
1082C2×C42—131no—
1083C2×C42—131no—
1084C2×C42—264no—
1085C2×C42—264no—
1086C2×C42—522no—
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#95—131no—
1137#95—131no—
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143#95C22×D1311yescharacteristic
1144C2×C13—24no—
1145C2×C13—42no—
1146C2×C13C2×C4×#4111yescharacteristic
1147C2×C13C2×C4×#4111yescharacteristic
1148C2×C13C4×H(5,𝔽2)11yescharacteristic
1149C2×C13C2×#55111yescharacteristic
1150C2×C13#347511yescharacteristic
1151C2×C13#347511yescharacteristic
1152C2×C13#348111yescharacteristic
1153D13—24no—
1154D13—42no—
1155C24—131no—
1156C24—131no—
1157C24—134no—
1158C24—262no—
1159C24—262no—
1160C24—262no—
1161C24—262no—
1162C24—521no—
1163C24—521no—
1164C24C23×D1311yescharacteristic
1165C24C23×D1311yescharacteristic
1166C2×Q8—134no—
1167C2×Q8—521no—
1168C2×Q8—521no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—134no—
1172C2×D4—134no—
1173C2×D4—262no—
1174C2×D4—262no—
1175C2×D4—521no—
1176C2×D4—521no—
1177C2×D4C2×C4×D1314yes—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—134no—
1194C22×C4—131no—
1195C22×C4—131no—
1196C22×C4—131no—
1197C22×C4—131no—
1198C22×C4—131no—
1199C22×C4—131no—
1200C22×C4—131no—
1201C22×C4—131no—
1202C22×C4—134no—
1203C22×C4—134no—
1204C22×C4—134no—
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—521no—
1233C22×C4—521no—
1234C22×C4—521no—
1235C22×C4—521no—
1236C22×C4—521no—
1237C22×C4—521no—
1238C22×C4—5216no—
1239C22×C4—521no—
1240C22×C4—521no—
1241C22×C4C2×C4×D1314yes—
1242C22×C4C2×C4×D1314yescomplemented
1243C22×C4#612714yes—
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—134no—
1266C4⋊C4—262no—
1267C4⋊C4—262no—
1268C4⋊C4—262no—
1269C4⋊C4—262no—
1270C4⋊C4—262no—
1271C4⋊C4—262no—
1272C4⋊C4—521no—
1273C4⋊C4—521no—
1274C4⋊C4—521no—
1275C4⋊C4—521no—
1276C4⋊C4—521no—
1277C4⋊C4—521no—
1278C4⋊C4C2×C4×D1314yescomplemented
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
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—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—521no—
1307C22⋊C4—521no—
1308C22⋊C4—521no—
1309C22⋊C4—521no—
1310C22⋊C4C2×C4×D1314yes—
1311C22⋊C4C2×C4×D1314yescomplemented
1312C22⋊C4#612714yes—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—41no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42—134no—
1326C42—134no—
1327C42—262no—
1328C42—262no—
1329C42—262no—
1330C42—262no—
1331C42—262no—
1332C42—262no—
1333C42—262no—
1334C42—262no—
1335C42—262no—
1336C42—262no—
1337C42—262no—
1338C42—262no—
1339C42—262no—
1340C42—262no—
1341C42—521no—
1342C42—521no—
1343C42—521no—
1344C42—521no—
1345C42C2×C4×D1314yescomplemented
1346C13C4×#55111yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—132no—
1358C23—132no—
1359C23—132no—
1360C23—132no—
1361C23—268no—
1362C23—261no—
1363C23—261no—
1364C23—261no—
1365C23—261no—
1366C23—268no—
1367C23—261no—
1368C23—261no—
1369C23—261no—
1370C23—261no—
1371C23—261no—
1372C23—261no—
1373C23—524no—
1374C23—524no—
1375C23—524no—
1376C23—524no—
1377C23—524no—
1378C23C22×C4×D1312yes—
1379C23C22×C4×D1312yes—
1380C23C2×#612712yes—
1381C23C2×#612712yes—
1382C23C24×D1311yescharacteristic
1383Q8—524no—
1384D4—28no—
1385D4—268no—
1386D4—524no—
1387C2×C4—21no—
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—28no—
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—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—132no—
1421C2×C4—132no—
1422C2×C4—132no—
1423C2×C4—132no—
1424C2×C4—132no—
1425C2×C4—132no—
1426C2×C4—132no—
1427C2×C4—132no—
1428C2×C4—268no—
1429C2×C4—268no—
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—261no—
1442C2×C4—261no—
1443C2×C4—261no—
1444C2×C4—261no—
1445C2×C4—261no—
1446C2×C4—268no—
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—524no—
1466C2×C4—524no—
1467C2×C4—524no—
1468C2×C4—524no—
1469C2×C4—524no—
1470C2×C4—524no—
1471C2×C4—524no—
1472C2×C4—524no—
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#8825112yes—
1483C2×C4#41×D1312yes—
1484C2×C4#41×D1312yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—134no—
1499C22—262no—
1500C22—262no—
1501C22—262no—
1502C22—262no—
1503C22—262no—
1504C22—262no—
1505C22—262no—
1506C22—262no—
1507C22—262no—
1508C22—5216no—
1509C22—521no—
1510C22—521no—
1511C22—521no—
1512C22—521no—
1513C22C4×#612714yes—
1514C22C23×C4×D1311yescharacteristic
1515C22C22×#612711yescharacteristic
1516C22C22×#612711yescharacteristic
1517C22C2×#8825111yescharacteristic
1518C22C2×#41×D1311yescharacteristic
1519C22C2×#41×D1311yescharacteristic
1520C22#1171964811yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—262no—
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#1171926114yesdirect product factor
1548C2—24no—
1549C2—42no—
1550C2—264no—
1551C2—522no—
1552C2C4×#41×D1311yescharacteristic
1553C2C2×C4×#612711yescharacteristic
1554C2C4×#8825111yescharacteristic
1555C2C2×#1171926111yescharacteristic
1556C2#1312839811yescharacteristic
1557C2#1312840011yescharacteristic
1558C2#1312844011yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC42×D4×C13C2
socle, cosocleC23×C13C25
prime radicalC2×#88191C22
hypercenterC42×D4D13
hypocenterC13C4×#551
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. #13117967C2semidirect
3. #13117952C2semidirect
4. #13117950C2semidirect
5. #13117944C2semidirect
6. #13117920C2semidirect
7. #13117919C2semidirect
8. #13117829C2semidirect
9. #13117822C2semidirect
11. #13117779C2semidirect
12. #13117776C2semidirect
13. #13117699C2semidirect
14. #13117690C2semidirect
15. #13117688C2semidirect
16. #13117679C2semidirect
17. C4×#88152C2semidirect
18. C4×#88130C2semidirect
19. C4×#88139C2semidirect
20. C4×#88178C2semidirect
21. C4×#88150C2semidirect
22. C4×#88183C2semidirect
23. C4×#88137C2semidirect
24. C4×#88189C2semidirect
26. C42×C22⋊D13C2semidirect
27. C4×#88126C2semidirect
28. C4×#88131C2semidirect
29. C2×C4×#6103C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C42×D4×C13C2semidirect
37. C22×C42×C13C22semidirect
49. #11719261C4direct (N × H)
63. C2×C4×Dic26C22semidirect
64. C4×C13×C4⋊C4C22semidirect
65. C4×C13×C4⋊C4C22semidirect
66. C4×C13×C4⋊C4C22semidirect
70. C4×C13×C22⋊C4C22semidirect
71. C4×C13×C22⋊C4C22semidirect
72. C4×C13×C22⋊C4C22semidirect
73. C43×C13C22semidirect
78. #11718872C22semidirect
81. #11718871C22semidirect
84. C4×C22⋊Dic13C22semidirect
85. C4×C22⋊Dic13C22semidirect
86. C4×C22⋊Dic13C22semidirect
87. C4×C22⋊Dic13C22semidirect
94. #11718642C22semidirect
95. #11718642C22semidirect
96. #11718639C22semidirect
97. #11718639C22semidirect
98. #11718639C22semidirect
99. #11718633C22semidirect
105. #11718612C22semidirect
106. #11718612C22semidirect
109. #11718606C22semidirect
110. #11718605C22semidirect
111. #11718605C22semidirect
112. #11718605C22semidirect
139. #11718598C22semidirect
140. C4×C4⋊Dic13C22semidirect
141. #11718594C22semidirect
142. #11718594C22semidirect
143. #11718594C22semidirect
144. #11718594C22semidirect
145. #11718594C22semidirect
146. #11718594C22semidirect
147. #11718594C22semidirect
148. #11718593C22semidirect
149. #11718593C22semidirect
150. C4×#6101C22semidirect
151. C4×#6101C22semidirect
152. C4×#6101C22semidirect
153. C4×#6101C22semidirect
154. C4×#6101C22semidirect
155. C4×#6101C22semidirect
156. C4×#6101C22semidirect
157. C4×#6101C22semidirect
158. C4×#6101C22semidirect
159. C4×#6101C22semidirect
160. C42×Dic13C22semidirect
161. C42×Dic13C22semidirect
162. #11718590C22semidirect
163. #11718589C22semidirect
176. #11718315C22semidirect
177. #11718315C22semidirect
178. #11718313C22semidirect
179. #11718313C22semidirect
180. #11718312C22semidirect
181. #11718311C22semidirect
182. #11718310C22semidirect
183. #11718310C22semidirect
184. #11718309C22semidirect
185. #11718309C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
215. C4×D4×C13C2×C4semidirect
251. #88189C2×C4semidirect
252. #88183C2×C4semidirect
256. C4×C22⋊D13C2×C4semidirect
258. C2×#6103C2×C4semidirect
280. #88178C2×C4semidirect
318. #88152C2×C4semidirect
319. #88150C2×C4semidirect
320. #88139C2×C4semidirect
321. #88137C2×C4semidirect
323. C22⋊C4×D13C2×C4semidirect
325. #88131C2×C4semidirect
326. #88130C2×C4semidirect
328. #88126C2×C4semidirect
407. C22×C4×C13C22×C4semidirect
478. C2×Dic26C22×C4semidirect
481. C13×C4⋊C4C22×C4semidirect
486. C13×C22⋊C4C22×C4semidirect
500. C42×C13C22×C4semidirect
509. C22⋊Dic13C22×C4semidirect
510. C22⋊Dic13C22×C4semidirect
531. C4⋊Dic13C22×C4semidirect
542. #6101C22×C4semidirect
543. #6101C22×C4semidirect
544. #6101C22×C4semidirect
545. #6101C22×C4semidirect
546. #6101C22×C4semidirect
547. #6101C22×C4semidirect
566. C4×Dic13C22×C4semidirect
567. C4×Dic13C22×C4semidirect
594. C42×D4D13semidirect
768. C22×C42C2×D13semidirect
845. C4×C4⋊C4C2×D13semidirect
846. C4×C4⋊C4C2×D13semidirect
847. C4×C4⋊C4C2×D13semidirect
879. C4×C22⋊C4C2×D13semidirect
880. C4×C22⋊C4C2×D13semidirect
881. C4×C22⋊C4C2×D13semidirect
892. C43C2×D13semidirect
941. C4×C13#551semidirect
997. C4×D4C4×D13semidirect
1242. C22×C4C2×C4×D13semidirect
1278. C4⋊C4C2×C4×D13semidirect
1311. C22⋊C4C2×C4×D13semidirect
1345. C42C2×C4×D13semidirect
1346. C13C4×#551semidirect
1547. C4#11719261direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192612
#131179672
#131179522
#131179502
#131179442
#131179202
#131179192
#131178292
#131178222
#131178132
#131177792
#131177762
#131176992
#131176902
#131176882
#131176792
C4×#881522
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C4×#881782
C4×#881502
C4×#881832
C4×#881372
C4×#881892
C4×#881912
C42×C22⋊D132
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C4×#881312
C2×C4×#61032
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C42×D4×C132
C4×#55113