Finite Group Databasebeta

← #535689

Subgroups — #535689

Order 512.

2788 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2312C211yesmaximal, characteristic
2#14512C211yesmaximal, characteristic, complemented
3#14496C211yesmaximal, characteristic, complemented
4#14481C211yesmaximal, characteristic, complemented
5#14452C211yesmaximal, characteristic, complemented
6#14393C211yesmaximal, characteristic, complemented
7#14369C211yesmaximal, characteristic, complemented
8#14366C211yesmaximal, characteristic
9#14365C211yesmaximal, characteristic
10#14158C211yesmaximal, characteristic, complemented
11#14148C211yesmaximal, characteristic, complemented
12#14125C211yesmaximal, characteristic, complemented
13#14124C211yesmaximal, characteristic, complemented
14#14114C211yesmaximal, characteristic, complemented
15#14112C211yesmaximal, characteristic, complemented
16#14108C211yesmaximal, characteristic, complemented
17#14070C211yesmaximal, characteristic, complemented
18#14038C211yesmaximal, characteristic, complemented
19#14031C211yesmaximal, characteristic, complemented
20#14010C211yesmaximal, characteristic, complemented
21#13993C211yesmaximal, characteristic, complemented
22#13991C211yesmaximal, characteristic
23#13971C211yesmaximal, characteristic
24#13888C211yesmaximal, characteristic, complemented
25#13873C211yesmaximal, characteristic
26#13842C211yesmaximal, characteristic, complemented
27#13822C211yesmaximal, characteristic, complemented
28#13822C211yesmaximal, characteristic, complemented
29#13816C211yesmaximal, characteristic, complemented
30C22⋊C42C211yesmaximal, characteristic
31#13788C211yesmaximal, characteristic, complemented
32C23×C22⋊C4C2211yescharacteristic
33C23×C22⋊C4C2211yescharacteristic
34#2312C4116yescomplemented
35C2×#389C2211yescharacteristic, complemented
36C2×#388C2211yescharacteristic
37C2×#388C2211yescharacteristic
38C2×#388C2211yescharacteristic
39C2×#388C2211yescharacteristic
40C2×#388C2211yescharacteristic
41C2×#388C2211yescharacteristic
42C2×#388C2211yescharacteristic
43C2×#388C2211yescharacteristic
44C2×#388C2211yescharacteristic
45C2×#388C2211yescharacteristic
46C2×#388C2211yescharacteristic
47C2×#388C2211yescharacteristic
48C2×#388C2211yescharacteristic
49C2×#388C2211yescharacteristic
50C2×#388C2211yescharacteristic
51C2×#388C2211yescharacteristic
52C2×#388C2211yescharacteristic
53C2×#388C2211yescharacteristic
54C2×#387C2211yescharacteristic, complemented
55C2×#387C2211yescharacteristic, complemented
56C2×#385C2211yescharacteristic
57C2×#385C2211yescharacteristic
58C2×#382C2211yescharacteristic, complemented
59C2×#380C2211yescharacteristic
60C2×#380C2211yescharacteristic
61C2×#380C2211yescharacteristic
62C2×#379C2211yescharacteristic
63C2×#379C2211yescharacteristic
64C2×#379C2211yescharacteristic
65C2×#379C2211yescharacteristic
66C2×#379C2211yescharacteristic
67C2×C4×C4⋊C4C2211yescharacteristic, complemented
68C2×C4×C4⋊C4C2211yescharacteristic, complemented
69C2×C4×C4⋊C4C2211yescharacteristic, complemented
70C2×C4×C22⋊C4C2211yescharacteristic
71C2×C4×C22⋊C4C2211yescharacteristic
72C2×C4×C22⋊C4C2211yescharacteristic
73C2×C4×C22⋊C4C2211yescharacteristic
74C2×C4×C22⋊C4C2211yescharacteristic
75C2×C4×C22⋊C4C2211yescharacteristic
76C2×C4×C22⋊C4C2211yescharacteristic
77C2×C4×C22⋊C4C2211yescharacteristic
78C2×C4×C22⋊C4C2211yescharacteristic
79C2×#376C2211yescharacteristic, complemented
80#1445C2211yescharacteristic, complemented
81#1445C2211yescharacteristic, complemented
82#1444C2211yescharacteristic, complemented
83#1443C2211yescharacteristic, complemented
84#1443C2211yescharacteristic, complemented
85#1443C2211yescharacteristic, complemented
86#1443C2211yescharacteristic, complemented
87#1442C2211yescharacteristic, complemented
88#1442C2211yescharacteristic, complemented
89#1442C2211yescharacteristic, complemented
90#1442C2211yescharacteristic, complemented
91#1442C2211yescharacteristic, complemented
92#1441C2211yescharacteristic, complemented
93#1441C2211yescharacteristic, complemented
94#1441C2211yescharacteristic, complemented
95#1441C2211yescharacteristic, complemented
96#1440C2211yescharacteristic
97#1440C2211yescharacteristic
98#1440C2211yescharacteristic
99#1440C2211yescharacteristic
100#1440C2211yescharacteristic
101#1440C2211yescharacteristic
102#1440C2211yescharacteristic
103#1440C2211yescharacteristic
104#1440C2211yescharacteristic
105#1440C2211yescharacteristic
106#1439C2211yescharacteristic
107#1439C2211yescharacteristic
108#1439C2211yescharacteristic
109#1439C2211yescharacteristic
110#1439C2211yescharacteristic
111#1439C2211yescharacteristic
112#1439C2211yescharacteristic
113#1439C2211yescharacteristic
114#1439C2211yescharacteristic
115#1439C2211yescharacteristic
116#1439C2211yescharacteristic
117#1439C2211yescharacteristic
118#1439C2211yescharacteristic
119#1439C2211yescharacteristic
120#1437C2211yescharacteristic
121#1437C2211yescharacteristic
122#1437C2211yescharacteristic
123#1437C2211yescharacteristic
124#1437C2211yescharacteristic
125#1437C2211yescharacteristic
126#1437C2211yescharacteristic
127#1437C2211yescharacteristic
128#1437C2211yescharacteristic
129#1437C2211yescharacteristic
130#1437C2211yescharacteristic
131#1437C2211yescharacteristic
132#1437C2211yescharacteristic
133#1437C2211yescharacteristic
134#1437C2211yescharacteristic
135#1437C2211yescharacteristic
136#1437C2211yescharacteristic
137#1437C2211yescharacteristic
138#1436C2211yescharacteristic, complemented
139#1436C2211yescharacteristic, complemented
140#1436C2211yescharacteristic, complemented
141#1436C2211yescharacteristic, complemented
142#1436C2211yescharacteristic, complemented
143#1436C2211yescharacteristic, complemented
144#1436C2211yescharacteristic, complemented
145#1436C2211yescharacteristic, complemented
146#1436C2211yescharacteristic, complemented
147#1436C2211yescharacteristic, complemented
148#1436C2211yescharacteristic, complemented
149#1436C2211yescharacteristic, complemented
150#1436C2211yescharacteristic, complemented
151#1436C2211yescharacteristic, complemented
152#1436C2211yescharacteristic, complemented
153#1436C2211yescharacteristic, complemented
154C4⋊#95C2211yescharacteristic, complemented
155C4⋊#95C2211yescharacteristic, complemented
156C4⋊#95C2211yescharacteristic, complemented
157#1434C2211yescharacteristic, complemented
158#1434C2211yescharacteristic, complemented
159#1434C2211yescharacteristic, complemented
160#1434C2211yescharacteristic, complemented
161#1434C2211yescharacteristic, complemented
162#1434C2211yescharacteristic, complemented
163#1434C2211yescharacteristic, complemented
164#1434C2211yescharacteristic, complemented
165#1434C2211yescharacteristic, complemented
166#1434C2211yescharacteristic, complemented
167#1434C2211yescharacteristic, complemented
168#1434C2211yescharacteristic, complemented
169#1434C2211yescharacteristic, complemented
170C22⋊#95C2211yescharacteristic
171C22⋊#95C2211yescharacteristic
172C22⋊#95C2211yescharacteristic
173C22⋊#95C2211yescharacteristic
174C22⋊#95C2211yescharacteristic
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C4×#95C2211yescharacteristic, complemented
181C4×#95C2211yescharacteristic, complemented
182C4×#95C2211yescharacteristic, complemented
183C4×#95C2211yescharacteristic, complemented
184C4×#95C2211yescharacteristic, complemented
185C4×#95C2211yescharacteristic, complemented
186C4×#95C2211yescharacteristic, complemented
187C4×#95C2211yescharacteristic, complemented
188C26C2311yescharacteristic
189C24×C4C2311yescharacteristic
190C24×C4C2311yescharacteristic
191C24×C4C2311yescharacteristic
192C24×C4C2311yescharacteristic
193C22×C4⋊C4C2311yescharacteristic
194C22×C4⋊C4C2311yescharacteristic
195C22×C4⋊C4C2311yescharacteristic
196C22×C4⋊C4C2311yescharacteristic
197C22×C4⋊C4C2311yescharacteristic
198C22×C4⋊C4C2311yescharacteristic
199C22×C4⋊C4C2311yescharacteristic
200C22×C4⋊C4C2311yescharacteristic
201C22×C4⋊C4C2311yescharacteristic
202C22×C4⋊C4C2311yescharacteristic
203C22×C4⋊C4C2311yescharacteristic
204C22×C4⋊C4C2311yescharacteristic
205C22×C4⋊C4C2311yescharacteristic
206C22×C4⋊C4C2311yescharacteristic
207C22×C22⋊C4—24no—
208C22×C22⋊C4—24no—
209C22×C22⋊C4—24no—
210C22×C22⋊C4—42no—
211C22×C22⋊C4—42no—
212C22×C22⋊C4C2×C418yes—
213C22×C22⋊C4C2311yescharacteristic
214C22×C22⋊C4C2311yescharacteristic
215C22×C22⋊C4C2311yescharacteristic
216C22×C22⋊C4C2311yescharacteristic
217C22×C22⋊C4C2311yescharacteristic
218C22×C22⋊C4C2311yescharacteristic
219C22×C22⋊C4C2311yescharacteristic
220C22×C22⋊C4C2311yescharacteristic
221C22×C22⋊C4C2311yescharacteristic
222C22×C22⋊C4C2311yescharacteristic
223C22×C22⋊C4C2311yescharacteristic
224C22×C22⋊C4C2311yescharacteristic
225C22×C22⋊C4C2311yescharacteristic
226C22×C22⋊C4C2311yescharacteristic
227C22×C22⋊C4C2311yescharacteristic
228C22×C22⋊C4C2311yescharacteristic
229C22×C22⋊C4C2311yescharacteristic
230C22×C22⋊C4C2311yescharacteristic
231C22×C22⋊C4C2311yescharacteristic
232C22×C22⋊C4C2311yescharacteristic
233C22×C22⋊C4C2311yescharacteristic
234C22×C22⋊C4C2311yescharacteristic
235C22×C22⋊C4C2311yescharacteristic
236C22×C22⋊C4C2311yescharacteristic
237C22×C22⋊C4C2311yescharacteristic
238C22×C22⋊C4C2311yescharacteristic
239C22×C22⋊C4C2311yescharacteristic
240C22×C22⋊C4C2311yescharacteristic
241C22×C22⋊C4C2311yescharacteristic
242C22×C22⋊C4C2311yescharacteristic
243C22×C22⋊C4C2311yescharacteristic
244C22×C22⋊C4C2311yescharacteristic
245C22×C22⋊C4C2311yescharacteristic
246C22×C22⋊C4C2311yescharacteristic
247C22×C22⋊C4C2311yescharacteristic
248C22×C22⋊C4C2311yescharacteristic
249C22×C22⋊C4C2311yescharacteristic
250C22×C22⋊C4C2311yescharacteristic
251C22×C42C2311yescharacteristic
252C22×C42C2311yescharacteristic
253C22×C42C2311yescharacteristic
254C22×C42C2311yescharacteristic
255C22×C42C2311yescharacteristic
256C22×C42C2311yescharacteristic
257C22×C42C2311yescharacteristic
258C22×C42C2311yescharacteristic
259C22×C42C2311yescharacteristic
260C22×C42C2311yescharacteristic
261C22×C42C2311yescharacteristic
262C22×C42C2311yescharacteristic
263C22×C42C2311yescharacteristic
264C22×C42C2311yescharacteristic
265C22×C42C2311yescharacteristic
266C22×C42C2311yescharacteristic
267C22×C42C2311yescharacteristic
268C22×C42C2311yescharacteristic
269#389—42no—
270#388—24no—
271#388—24no—
272#388—24no—
273#388—24no—
274#388—24no—
275#388—24no—
276#388—42no—
277#388—42no—
278#388—42no—
279#388—42no—
280#388C2×C418yes—
281#388C2×C418yes—
282#388C2×C418yes—
283#388C2×C418yes—
284#388C2×C418yescomplemented
285#388C2×C418yescomplemented
286#388C2×C418yescomplemented
287#388C2×C418yescomplemented
288#387—42no—
289#387—42no—
290#385—42no—
291#385—42no—
292#382—42no—
293#380—42no—
294#380C2×C418yescomplemented
295#380C2×C418yescomplemented
296#379—24no—
297#379—42no—
298#379—42no—
299#379C2×C418yes—
300#379C2×C418yes—
301C4×C4⋊C4—42no—
302C4×C4⋊C4—42no—
303C4×C4⋊C4—42no—
304C4×C22⋊C4—24no—
305C4×C22⋊C4—24no—
306C4×C22⋊C4—42no—
307C4×C22⋊C4—42no—
308C4×C22⋊C4—42no—
309C4×C22⋊C4—42no—
310C4×C22⋊C4—42no—
311C4×C22⋊C4C2×C418yescomplemented
312C4×C22⋊C4C2×C418yescomplemented
313#376—42no—
314C2×#95C2311yescharacteristic
315C2×#95C2311yescharacteristic
316C2×#95C2311yescharacteristic
317C2×#95C2311yescharacteristic
318C2×#95C2311yescharacteristic
319C2×#95C2311yescharacteristic
320C2×#95C2311yescharacteristic
321C2×#95C2311yescharacteristic
322C2×#95C2311yescharacteristic
323C2×#95C2311yescharacteristic
324C2×#95C2311yescharacteristic
325C2×#95C2311yescharacteristic
326C2×#95C2311yescharacteristic
327C2×#95C2311yescharacteristic
328C2×#95C2311yescharacteristic
329C2×#95C2311yescharacteristic
330C2×#95C2311yescharacteristic
331C2×#95C2311yescharacteristic
332C2×#95C2311yescharacteristic
333C2×#95C2311yescharacteristic
334C2×#95C2311yescharacteristic
335C2×#95C2311yescharacteristic
336C2×#95C2311yescharacteristic
337C2×#95C2311yescharacteristic
338C2×#95C2311yescharacteristic
339C2×#95C2311yescharacteristic
340C2×#95C2311yescharacteristic
341C2×#95C2311yescharacteristic
342C2×#95C2311yescharacteristic
343C2×#95C2311yescharacteristic
344C2×#95C2311yescharacteristic
345C2×#95C2311yescharacteristic
346C2×#95C2311yescharacteristic
347C2×#95C2311yescharacteristic
348C2×#95C2311yescharacteristic
349C2×#95C2311yescharacteristic
350C2×#95C2311yescharacteristic
351C2×#95C2311yescharacteristic
352C2×#95C2311yescharacteristic
353C2×#95C2311yescharacteristic
354C2×#95C2311yescharacteristic
355C2×#95C2311yescharacteristic
356C2×#95C2311yescharacteristic
357C2×#95C2311yescharacteristic
358C2×#95C2311yescharacteristic
359C2×#95C2311yescharacteristic
360C2×#95C2311yescharacteristic
361C2×#95C2311yescharacteristic
362C2×#95C2311yescharacteristic
363C2×#95C2311yescharacteristic
364C2×#95C2311yescharacteristic
365C2×#95C2311yescharacteristic
366C2×#95C2311yescharacteristic
367C2×#95C2311yescharacteristic
368C2×#95C2311yescharacteristic
369C2×#95C2311yescharacteristic
370C2×#95C2311yescharacteristic
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C2×#95C2311yescharacteristic
394C25—22no—
395C25—22no—
396C25—22no—
397C25—22no—
398C25—41no—
399C25—41no—
400C25—41no—
401C25—41no—
402C25—41no—
403C25—41no—
404C25—41no—
405C25—41no—
406C25—41no—
407C25—41no—
408C25C22×C414yes—
409C25C2411yescharacteristic
410C25C2411yescharacteristic
411C25C2411yescharacteristic
412C23×C4—22no—
413C23×C4—22no—
414C23×C4—22no—
415C23×C4—22no—
416C23×C4—22no—
417C23×C4—22no—
418C23×C4—22no—
419C23×C4—22no—
420C23×C4—22no—
421C23×C4—22no—
422C23×C4—41no—
423C23×C4—41no—
424C23×C4—41no—
425C23×C4—41no—
426C23×C4—41no—
427C23×C4—41no—
428C23×C4—41no—
429C23×C4—41no—
430C23×C4—41no—
431C23×C4—41no—
432C23×C4—41no—
433C23×C4—41no—
434C23×C4—41no—
435C23×C4—41no—
436C23×C4—41no—
437C23×C4—41no—
438C23×C4C22×C414yes—
439C23×C4C22×C414yes—
440C23×C4C2411yescharacteristic
441C23×C4C2411yescharacteristic
442C23×C4C2411yescharacteristic
443C23×C4C2411yescharacteristic
444C23×C4C2411yescharacteristic
445C23×C4C2411yescharacteristic
446C23×C4C2411yescharacteristic
447C23×C4C2411yescharacteristic
448C23×C4C2411yescharacteristic
449C23×C4C2411yescharacteristic
450C23×C4C2411yescharacteristic
451C23×C4C2411yescharacteristic
452C23×C4C2411yescharacteristic
453C23×C4C2411yescharacteristic
454C23×C4C2411yescharacteristic
455C23×C4C2411yescharacteristic
456C23×C4C2411yescharacteristic
457C23×C4C2411yescharacteristic
458C23×C4C2411yescharacteristic
459C23×C4C2411yescharacteristic
460C23×C4C2411yescharacteristic
461C23×C4C2411yescharacteristic
462C23×C4C2411yescharacteristic
463C23×C4C2411yescharacteristic
464C23×C4C2411yescharacteristic
465C23×C4C2411yescharacteristic
466C23×C4C2411yescharacteristic
467C23×C4C2411yescharacteristic
468C2×C4⋊C4—22no—
469C2×C4⋊C4—22no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4—22no—
472C2×C4⋊C4—22no—
473C2×C4⋊C4—22no—
474C2×C4⋊C4—22no—
475C2×C4⋊C4—22no—
476C2×C4⋊C4—22no—
477C2×C4⋊C4—22no—
478C2×C4⋊C4—22no—
479C2×C4⋊C4—22no—
480C2×C4⋊C4—41no—
481C2×C4⋊C4—41no—
482C2×C4⋊C4—41no—
483C2×C4⋊C4—41no—
484C2×C4⋊C4—41no—
485C2×C4⋊C4—41no—
486C2×C4⋊C4—41no—
487C2×C4⋊C4—41no—
488C2×C4⋊C4—41no—
489C2×C4⋊C4—41no—
490C2×C4⋊C4—41no—
491C2×C4⋊C4—41no—
492C2×C4⋊C4—41no—
493C2×C4⋊C4—41no—
494C2×C4⋊C4—41no—
495C2×C4⋊C4—41no—
496C2×C4⋊C4—41no—
497C2×C4⋊C4—41no—
498C2×C4⋊C4—41no—
499C2×C4⋊C4—41no—
500C2×C4⋊C4—41no—
501C2×C4⋊C4—41no—
502C2×C4⋊C4—41no—
503C2×C4⋊C4—41no—
504C2×C4⋊C4—41no—
505C2×C4⋊C4—41no—
506C2×C4⋊C4C22×C414yes—
507C2×C4⋊C4C22×C414yes—
508C2×C4⋊C4C22×C414yes—
509C2×C4⋊C4C22×C414yes—
510C2×C22⋊C4—22no—
511C2×C22⋊C4—22no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—22no—
515C2×C22⋊C4—22no—
516C2×C22⋊C4—22no—
517C2×C22⋊C4—22no—
518C2×C22⋊C4—22no—
519C2×C22⋊C4—22no—
520C2×C22⋊C4—22no—
521C2×C22⋊C4—22no—
522C2×C22⋊C4—22no—
523C2×C22⋊C4—232no—
524C2×C22⋊C4—22no—
525C2×C22⋊C4—22no—
526C2×C22⋊C4—22no—
527C2×C22⋊C4—22no—
528C2×C22⋊C4—22no—
529C2×C22⋊C4—22no—
530C2×C22⋊C4—22no—
531C2×C22⋊C4—22no—
532C2×C22⋊C4—22no—
533C2×C22⋊C4—22no—
534C2×C22⋊C4—22no—
535C2×C22⋊C4—22no—
536C2×C22⋊C4—22no—
537C2×C22⋊C4—22no—
538C2×C22⋊C4—22no—
539C2×C22⋊C4—22no—
540C2×C22⋊C4—22no—
541C2×C22⋊C4—22no—
542C2×C22⋊C4—22no—
543C2×C22⋊C4—22no—
544C2×C22⋊C4—22no—
545C2×C22⋊C4—22no—
546C2×C22⋊C4—22no—
547C2×C22⋊C4—22no—
548C2×C22⋊C4—22no—
549C2×C22⋊C4—416no—
550C2×C22⋊C4—41no—
551C2×C22⋊C4—41no—
552C2×C22⋊C4—41no—
553C2×C22⋊C4—41no—
554C2×C22⋊C4—41no—
555C2×C22⋊C4—41no—
556C2×C22⋊C4—41no—
557C2×C22⋊C4—41no—
558C2×C22⋊C4—41no—
559C2×C22⋊C4—41no—
560C2×C22⋊C4—41no—
561C2×C22⋊C4—41no—
562C2×C22⋊C4—41no—
563C2×C22⋊C4—41no—
564C2×C22⋊C4—41no—
565C2×C22⋊C4—41no—
566C2×C22⋊C4—41no—
567C2×C22⋊C4—41no—
568C2×C22⋊C4—41no—
569C2×C22⋊C4—41no—
570C2×C22⋊C4—41no—
571C2×C22⋊C4—41no—
572C2×C22⋊C4—41no—
573C2×C22⋊C4—41no—
574C2×C22⋊C4—41no—
575C2×C22⋊C4—41no—
576C2×C22⋊C4—41no—
577C2×C22⋊C4—41no—
578C2×C22⋊C4—41no—
579C2×C22⋊C4—41no—
580C2×C22⋊C4—41no—
581C2×C22⋊C4—41no—
582C2×C22⋊C4—41no—
583C2×C22⋊C4—41no—
584C2×C22⋊C4—41no—
585C2×C22⋊C4—41no—
586C2×C22⋊C4—41no—
587C2×C22⋊C4—41no—
588C2×C22⋊C4—41no—
589C2×C22⋊C4—41no—
590C2×C22⋊C4—41no—
591C2×C22⋊C4—41no—
592C2×C22⋊C4—41no—
593C2×C22⋊C4—41no—
594C2×C22⋊C4—41no—
595C2×C22⋊C4—41no—
596C2×C22⋊C4—41no—
597C2×C22⋊C4—41no—
598C2×C22⋊C4—41no—
599C2×C22⋊C4—41no—
600C2×C22⋊C4—41no—
601C2×C22⋊C4—41no—
602C2×C22⋊C4—41no—
603C2×C22⋊C4—41no—
604C2×C22⋊C4—41no—
605C2×C22⋊C4—41no—
606C2×C22⋊C4C22×C414yes—
607C2×C22⋊C4C22×C414yes—
608C2×C22⋊C4C22×C414yes—
609C2×C22⋊C4C22×C414yes—
610C2×C22⋊C4C22×C414yes—
611C2×C22⋊C4C22×C414yes—
612C2×C22⋊C4C22×C414yes—
613C2×C22⋊C4C22×C414yes—
614C2×C22⋊C4C22×C414yes—
615C2×C22⋊C4C22×C414yes—
616C2×C22⋊C4C22×C414yes—
617C2×C22⋊C4C22×C414yes—
618C2×C22⋊C4C22×C414yes—
619C2×C22⋊C4C22×C414yes—
620C2×C22⋊C4C22×C414yes—
621C2×C22⋊C4C22×C414yes—
622C2×C22⋊C4#4114yes—
623C2×C22⋊C4#4114yes—
624C2×C22⋊C4#4114yes—
625C2×C22⋊C4#4114yes—
626C2×C42—22no—
627C2×C42—22no—
628C2×C42—22no—
629C2×C42—22no—
630C2×C42—22no—
631C2×C42—22no—
632C2×C42—22no—
633C2×C42—22no—
634C2×C42—22no—
635C2×C42—22no—
636C2×C42—22no—
637C2×C42—22no—
638C2×C42—22no—
639C2×C42—22no—
640C2×C42—41no—
641C2×C42—41no—
642C2×C42—41no—
643C2×C42—41no—
644C2×C42—41no—
645C2×C42—41no—
646C2×C42—41no—
647C2×C42—41no—
648C2×C42—41no—
649C2×C42—41no—
650C2×C42—41no—
651C2×C42—41no—
652C2×C42—41no—
653C2×C42—41no—
654C2×C42—41no—
655C2×C42—41no—
656C2×C42—41no—
657C2×C42—41no—
658C2×C42—41no—
659C2×C42—41no—
660C2×C42—41no—
661C2×C42—41no—
662C2×C42—41no—
663C2×C42—41no—
664C2×C42—41no—
665C2×C42—41no—
666C2×C42—41no—
667C2×C42—41no—
668C2×C42—41no—
669C2×C42—41no—
670C2×C42—41no—
671C2×C42—41no—
672C2×C42—41no—
673C2×C42—41no—
674C2×C42—41no—
675C2×C42—41no—
676C2×C42C22×C414yes—
677C2×C42C22×C414yes—
678C2×C42C22×C414yes—
679C2×C42C22×C414yes—
680#95—22no—
681#95—22no—
682#95—22no—
683#95—22no—
684#95—22no—
685#95—22no—
686#95—22no—
687#95—22no—
688#95—22no—
689#95—22no—
690#95—22no—
691#95—22no—
692#95—22no—
693#95—22no—
694#95—22no—
695#95—22no—
696#95—22no—
697#95—22no—
698#95—22no—
699#95—22no—
700#95—22no—
701#95—22no—
702#95—22no—
703#95—22no—
704#95—22no—
705#95—22no—
706#95—22no—
707#95—22no—
708#95—22no—
709#95—22no—
710#95—41no—
711#95—41no—
712#95—41no—
713#95—41no—
714#95—41no—
715#95—41no—
716#95—41no—
717#95—41no—
718#95—41no—
719#95—41no—
720#95—41no—
721#95—41no—
722#95—41no—
723#95—41no—
724#95—41no—
725#95—41no—
726#95—41no—
727#95—41no—
728#95—41no—
729#95—41no—
730#95—41no—
731#95—41no—
732#95—41no—
733#95—41no—
734#95—41no—
735#95—41no—
736#95—41no—
737#95—41no—
738#95—41no—
739#95—41no—
740#95—41no—
741#95—41no—
742#95—41no—
743#95—41no—
744#95—41no—
745#95—41no—
746#95—41no—
747#95—41no—
748#95—41no—
749#95—41no—
750#95—41no—
751#95—41no—
752#95C22×C414yes—
753#95C22×C414yes—
754#95C22×C414yes—
755#95C22×C414yes—
756#95C22×C414yes—
757#95C22×C414yes—
758#95C22×C414yes—
759#95C22×C414yes—
760C24—21no—
761C24—21no—
762C24—21no—
763C24—21no—
764C24—21no—
765C24—21no—
766C24—21no—
767C24—21no—
768C24—21no—
769C24—21no—
770C24—21no—
771C24—21no—
772C24—21no—
773C24—21no—
774C24—21no—
775C24—21no—
776C24—21no—
777C24—21no—
778C24—21no—
779C24—21no—
780C24—21no—
781C24—21no—
782C24—21no—
783C24—21no—
784C24—21no—
785C24—21no—
786C24—21no—
787C24—21no—
788C24—21no—
789C24—21no—
790C24—21no—
791C24—21no—
792C24—21no—
793C24—21no—
794C24—21no—
795C24—21no—
796C24—21no—
797C24—21no—
798C24—28no—
799C24—28no—
800C24—44no—
801C24—44no—
802C24—44no—
803C24—44no—
804C24—44no—
805C24—44no—
806C24—44no—
807C24—44no—
808C24—44no—
809C24—44no—
810C24—44no—
811C24—44no—
812C24—44no—
813C24—82no—
814C24—82no—
815C24—82no—
816C24—82no—
817C24—82no—
818C24—82no—
819C24—82no—
820C24—82no—
821C24—82no—
822C24—82no—
823C24—82no—
824C24—82no—
825C24—82no—
826C24—82no—
827C24—82no—
828C24—82no—
829C24—82no—
830C24—82no—
831C24—82no—
832C24—82no—
833C24C23×C412yes—
834C24C23×C412yes—
835C24C23×C412yes—
836C24C2×#4112yes—
837C24C2×#4112yes—
838C24C2×#4112yes—
839C24C2×#4112yes—
840C24C2511yescharacteristic
841C22×C4—21no—
842C22×C4—21no—
843C22×C4—21no—
844C22×C4—21no—
845C22×C4—21no—
846C22×C4—21no—
847C22×C4—21no—
848C22×C4—21no—
849C22×C4—21no—
850C22×C4—21no—
851C22×C4—21no—
852C22×C4—21no—
853C22×C4—21no—
854C22×C4—21no—
855C22×C4—21no—
856C22×C4—21no—
857C22×C4—21no—
858C22×C4—21no—
859C22×C4—21no—
860C22×C4—21no—
861C22×C4—21no—
862C22×C4—21no—
863C22×C4—21no—
864C22×C4—21no—
865C22×C4—21no—
866C22×C4—21no—
867C22×C4—21no—
868C22×C4—21no—
869C22×C4—21no—
870C22×C4—21no—
871C22×C4—21no—
872C22×C4—21no—
873C22×C4—21no—
874C22×C4—21no—
875C22×C4—21no—
876C22×C4—21no—
877C22×C4—21no—
878C22×C4—21no—
879C22×C4—21no—
880C22×C4—21no—
881C22×C4—21no—
882C22×C4—21no—
883C22×C4—21no—
884C22×C4—21no—
885C22×C4—21no—
886C22×C4—21no—
887C22×C4—21no—
888C22×C4—21no—
889C22×C4—21no—
890C22×C4—21no—
891C22×C4—21no—
892C22×C4—21no—
893C22×C4—21no—
894C22×C4—21no—
895C22×C4—21no—
896C22×C4—21no—
897C22×C4—21no—
898C22×C4—21no—
899C22×C4—21no—
900C22×C4—21no—
901C22×C4—21no—
902C22×C4—21no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—21no—
906C22×C4—21no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—21no—
910C22×C4—21no—
911C22×C4—21no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—28no—
958C22×C4—28no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—44no—
1016C22×C4—44no—
1017C22×C4—44no—
1018C22×C4—44no—
1019C22×C4—44no—
1020C22×C4—44no—
1021C22×C4—44no—
1022C22×C4—44no—
1023C22×C4—44no—
1024C22×C4—44no—
1025C22×C4—82no—
1026C22×C4—82no—
1027C22×C4—82no—
1028C22×C4—82no—
1029C22×C4—82no—
1030C22×C4—82no—
1031C22×C4—82no—
1032C22×C4—82no—
1033C22×C4—82no—
1034C22×C4—82no—
1035C22×C4—82no—
1036C22×C4—82no—
1037C22×C4—82no—
1038C22×C4—82no—
1039C22×C4—82no—
1040C22×C4—82no—
1041C22×C4C23×C412yes—
1042C22×C4C23×C412yes—
1043C22×C4C23×C412yes—
1044C22×C4C23×C412yes—
1045C22×C4C23×C412yes—
1046C22×C4C23×C412yes—
1047C22×C4C23×C412yes—
1048C22×C4C23×C412yes—
1049C22×C4C23×C412yes—
1050C22×C4C23×C412yes—
1051C22×C4C23×C412yes—
1052C22×C4C23×C412yes—
1053C22×C4C2×#4112yes—
1054C22×C4C2×#4112yes—
1055C22×C4C2×#4112yes—
1056C22×C4C2×#4112yes—
1057C22×C4C2×#4112yes—
1058C22×C4C2×#4112yes—
1059C22×C4C2×#4112yes—
1060C22×C4C2×#4112yes—
1061C22×C4H(5,𝔽2)12yes—
1062C22×C4H(5,𝔽2)12yes—
1063C22×C4H(5,𝔽2)12yes—
1064C22×C4H(5,𝔽2)12yes—
1065C4⋊C4—44no—
1066C4⋊C4—44no—
1067C4⋊C4—44no—
1068C4⋊C4—44no—
1069C4⋊C4—44no—
1070C4⋊C4—44no—
1071C4⋊C4—44no—
1072C4⋊C4—44no—
1073C4⋊C4—44no—
1074C4⋊C4—82no—
1075C4⋊C4—82no—
1076C4⋊C4—82no—
1077C4⋊C4—82no—
1078C4⋊C4—82no—
1079C22⋊C4—28no—
1080C22⋊C4—28no—
1081C22⋊C4—28no—
1082C22⋊C4—28no—
1083C22⋊C4—28no—
1084C22⋊C4—28no—
1085C22⋊C4—44no—
1086C22⋊C4—44no—
1087C22⋊C4—44no—
1088C22⋊C4—44no—
1089C22⋊C4—44no—
1090C22⋊C4—44no—
1091C22⋊C4—44no—
1092C22⋊C4—44no—
1093C22⋊C4—44no—
1094C22⋊C4—44no—
1095C22⋊C4—44no—
1096C22⋊C4—44no—
1097C22⋊C4—44no—
1098C22⋊C4—44no—
1099C22⋊C4—44no—
1100C22⋊C4—44no—
1101C22⋊C4—44no—
1102C22⋊C4—44no—
1103C22⋊C4—44no—
1104C22⋊C4—44no—
1105C22⋊C4—44no—
1106C22⋊C4—82no—
1107C22⋊C4—82no—
1108C22⋊C4—82no—
1109C22⋊C4—82no—
1110C22⋊C4—82no—
1111C22⋊C4—82no—
1112C22⋊C4—82no—
1113C22⋊C4—82no—
1114C22⋊C4—82no—
1115C22⋊C4—82no—
1116C22⋊C4#117116yes—
1117C42—44no—
1118C42—44no—
1119C42—44no—
1120C42—44no—
1121C42—44no—
1122C42—44no—
1123C42—44no—
1124C42—82no—
1125C42—82no—
1126C42—82no—
1127C42—82no—
1128C42—82no—
1129C42—82no—
1130C42—82no—
1131C42—82no—
1132C42—82no—
1133C42—82no—
1134C42—82no—
1135C23—22no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—22no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—22no—
1147C23—22no—
1148C23—22no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
1156C23—22no—
1157C23—22no—
1158C23—22no—
1159C23—22no—
1160C23—22no—
1161C23—22no—
1162C23—22no—
1163C23—22no—
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—22no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—416no—
1179C23—416no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—88no—
1241C23—88no—
1242C23—88no—
1243C23—88no—
1244C23—88no—
1245C23—88no—
1246C23—88no—
1247C23—88no—
1248C23—88no—
1249C23—88no—
1250C23—88no—
1251C23—88no—
1252C23—88no—
1253C23C2×#11714yes—
1254C23C4×#4114yes—
1255C23C24×C411yescharacteristic
1256C23C22×#4111yescharacteristic
1257C23C22×#4111yescharacteristic
1258C23C22×#4111yescharacteristic
1259C23C22×#4111yescharacteristic
1260C23C2×H(5,𝔽2)11yescharacteristic
1261C23C2×H(5,𝔽2)11yescharacteristic
1262C23C2×H(5,𝔽2)11yescharacteristic
1263C23C2×H(5,𝔽2)11yescharacteristic
1264C23#58511yescharacteristic
1265C23#58511yescharacteristic
1266C23#58511yescharacteristic
1267C23#58511yescharacteristic
1268C23#58511yescharacteristic
1269C23#58511yescharacteristic
1270C2×C4—22no—
1271C2×C4—22no—
1272C2×C4—22no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—88no—
1465C2×C4—88no—
1466C2×C4—88no—
1467C2×C4—88no—
1468C2×C4C2×#11714yes—
1469C2×C4C2×#11714yes—
1470C22—24no—
1471C22—24no—
1472C22—24no—
1473C22—24no—
1474C22—24no—
1475C22—24no—
1476C22—42no—
1477C22—42no—
1478C22—42no—
1479C22—42no—
1480C22—42no—
1481C22—42no—
1482C22—42no—
1483C22—42no—
1484C22—42no—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—42no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22—42no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—832no—
1508C22—81no—
1509C22—81no—
1510C22—81no—
1511C22—81no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22C22×#11711yescharacteristic
1517C22C2×C4×#4111yescharacteristic
1518C22#342811yescharacteristic
1519C22C4×H(5,𝔽2)11yescharacteristic
1520C22C4×H(5,𝔽2)11yescharacteristic
1521C22C4×H(5,𝔽2)11yescharacteristic
1522C22C4×H(5,𝔽2)11yescharacteristic
1523C22#347511yescharacteristic
1524C22#347511yescharacteristic
1525C22#347511yescharacteristic
1526C22#347511yescharacteristic
1527C22#349011yescharacteristic
1528C22#349311yescharacteristic
1529C22#350511yescharacteristic
1530C22#350611yescharacteristic
1531C22#351311yescharacteristic
1532C22#351311yescharacteristic
1533C22#351311yescharacteristic
1534C22#351411yescharacteristic
1535C22#351411yescharacteristic
1536C22#351411yescharacteristic
1537C22#351911yescharacteristic
1538C22#351911yescharacteristic
1539C22#351911yescharacteristic
1540C22#352111yescharacteristic
1541C22#352111yescharacteristic
1542C22#352111yescharacteristic
1543C22#353411yescharacteristic
1544C22#354011yescharacteristic
1545C22#355811yescharacteristic
1546C22#356011yescharacteristic
1547C22#356211yescharacteristic
1548C22#356211yescharacteristic
1549C22#356611yescharacteristic
1550C22#356611yescharacteristic
1551C4—24no—
1552C4—24no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4—81no—
1576C4—81no—
1577C4—81no—
1578C4—81no—
1579C2—44no—
1580C2—44no—
1581C2—82no—
1582C2#3410911yescharacteristic
1583C2#3426111yescharacteristic
1584C2#3426111yescharacteristic
1585C2#3427711yescharacteristic
1586C2#3428311yescharacteristic
1587C2#3444111yescharacteristic
1588C2#3445411yescharacteristic
1589C2#4325111yescharacteristic
1590C2#4325211yescharacteristic
1591C2#4327211yescharacteristic
1592C2#4327311yescharacteristic
1593C2#4367411yescharacteristic
1594C2#4367511yescharacteristic
1595C2#4369511yescharacteristic
1596C2#4369611yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC26C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #14512C2semidirect
3. #14496C2semidirect
4. #14481C2semidirect
5. #14452C2semidirect
6. #14393C2semidirect
7. #14369C2semidirect
10. #14158C2semidirect
11. #14148C2semidirect
12. #14125C2semidirect
13. #14124C2semidirect
14. #14114C2semidirect
15. #14112C2semidirect
16. #14108C2semidirect
17. #14070C2semidirect
18. #14038C2semidirect
19. #14031C2semidirect
20. #14010C2semidirect
21. #13993C2semidirect
24. #13888C2semidirect
26. #13842C2semidirect
27. #13822C2semidirect
28. #13822C2semidirect
29. #13816C2semidirect
31. #13788C2semidirect
34. #2312C4semidirect
35. C2×#389C22semidirect
54. C2×#387C22semidirect
55. C2×#387C22semidirect
58. C2×#382C22semidirect
67. C2×C4×C4⋊C4C22semidirect
68. C2×C4×C4⋊C4C22semidirect
69. C2×C4×C4⋊C4C22semidirect
79. C2×#376C22semidirect
80. #1445C22semidirect
81. #1445C22semidirect
82. #1444C22semidirect
83. #1443C22semidirect
84. #1443C22semidirect
85. #1443C22semidirect
86. #1443C22semidirect
87. #1442C22semidirect
88. #1442C22semidirect
89. #1442C22semidirect
90. #1442C22semidirect
91. #1442C22semidirect
92. #1441C22semidirect
93. #1441C22semidirect
94. #1441C22semidirect
95. #1441C22semidirect
138. #1436C22semidirect
139. #1436C22semidirect
140. #1436C22semidirect
141. #1436C22semidirect
142. #1436C22semidirect
143. #1436C22semidirect
144. #1436C22semidirect
145. #1436C22semidirect
146. #1436C22semidirect
147. #1436C22semidirect
148. #1436C22semidirect
149. #1436C22semidirect
150. #1436C22semidirect
151. #1436C22semidirect
152. #1436C22semidirect
153. #1436C22semidirect
154. C4⋊#95C22semidirect
155. C4⋊#95C22semidirect
156. C4⋊#95C22semidirect
157. #1434C22semidirect
158. #1434C22semidirect
159. #1434C22semidirect
160. #1434C22semidirect
161. #1434C22semidirect
162. #1434C22semidirect
163. #1434C22semidirect
164. #1434C22semidirect
165. #1434C22semidirect
166. #1434C22semidirect
167. #1434C22semidirect
168. #1434C22semidirect
169. #1434C22semidirect
180. C4×#95C22semidirect
181. C4×#95C22semidirect
182. C4×#95C22semidirect
183. C4×#95C22semidirect
184. C4×#95C22semidirect
185. C4×#95C22semidirect
186. C4×#95C22semidirect
187. C4×#95C22semidirect
284. #388C2×C4semidirect
285. #388C2×C4semidirect
286. #388C2×C4semidirect
287. #388C2×C4semidirect
294. #380C2×C4semidirect
295. #380C2×C4semidirect
311. C4×C22⋊C4C2×C4semidirect
312. C4×C22⋊C4C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#23122
#145122
#144962
#144812
#144522
#143932
#143692
#143662
#143652
#141582
#141482
#141252
#141242
#141142
#141122
#141082
#140702
#140382
#140312
#140102
#139932
#139912
#139712
#138882
#138732
#138422
#138222
#138162
C22⋊C422
#137882