Finite Group Databasebeta

← #595737

Subgroups — #595737

Order 512.

2604 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×#2735C211yesmaximal, characteristic
2#14671C211yesmaximal, characteristic, complemented
3#14652C211yesmaximal, characteristic, complemented
4#14633C211yesmaximal, characteristic, complemented
5#14586C211yesmaximal, characteristic, complemented
6#14556C211yesmaximal, characteristic, complemented
7#14551C211yesmaximal, characteristic, complemented
8#14549C211yesmaximal, characteristic, complemented
9#14544C211yesmaximal, characteristic, complemented
10#14542C211yesmaximal, characteristic, complemented
11#14509C211yesmaximal, characteristic, complemented
12#14442C211yesmaximal, characteristic, complemented
13#14436C211yesmaximal, characteristic, complemented
14#14434C211yesmaximal, characteristic, complemented
15#14433C211yesmaximal, characteristic, complemented
16#14412C211yesmaximal, characteristic, complemented
17#14403C211yesmaximal, characteristic, complemented
18#14393C211yesmaximal, characteristic, complemented
19#14365C211yesmaximal, characteristic
20#14317C211yesmaximal, characteristic, complemented
21#14304C211yesmaximal, characteristic, complemented
22#14262C211yesmaximal, characteristic
23#14209C211yesmaximal, characteristic, complemented
24#14183C211yesmaximal, characteristic, complemented
25#14127C211yesmaximal, characteristic
26#14118C211yesmaximal, characteristic, complemented
27#14112C211yesmaximal, characteristic, complemented
28#14077C211yesmaximal, characteristic, complemented
29#13991C211yesmaximal, characteristic
30#13971C211yesmaximal, characteristic
31#13971C211yesmaximal, characteristic
32C23×C22⋊C4C2211yescharacteristic
33C23×C22⋊C4C2211yescharacteristic
34#2735C4116yescomplemented
35C2×#399C2211yescharacteristic
36C2×#397C2211yescharacteristic
37C2×#397C2211yescharacteristic
38C2×#397C2211yescharacteristic
39C2×#396C2211yescharacteristic
40C2×#396C2211yescharacteristic
41C2×#389C2211yescharacteristic, complemented
42C2×#389C2211yescharacteristic, complemented
43C2×#389C2211yescharacteristic, complemented
44C2×#388C2211yescharacteristic
45C2×#388C2211yescharacteristic
46C2×#388C2211yescharacteristic
47C2×#388C2211yescharacteristic
48C2×#388C2211yescharacteristic
49C2×#388C2211yescharacteristic
50C2×#388C2211yescharacteristic
51C2×#388C2211yescharacteristic
52C2×#388C2211yescharacteristic
53C2×#388C2211yescharacteristic
54C2×#388C2211yescharacteristic
55C2×#388C2211yescharacteristic
56C2×#388C2211yescharacteristic
57C2×#388C2211yescharacteristic
58C2×#387C2211yescharacteristic, complemented
59C2×#387C2211yescharacteristic, complemented
60C2×#387C2211yescharacteristic, complemented
61C2×#385C2211yescharacteristic
62C2×#385C2211yescharacteristic
63C2×#385C2211yescharacteristic
64C2×#385C2211yescharacteristic
65C2×#385C2211yescharacteristic
66C2×#385C2211yescharacteristic
67C2×#385C2211yescharacteristic
68C2×#385C2211yescharacteristic
69C2×#385C2211yescharacteristic
70C2×#382C2211yescharacteristic, complemented
71C2×#379C2211yescharacteristic
72C2×#379C2211yescharacteristic
73C2×#379C2211yescharacteristic
74C2×#379C2211yescharacteristic
75C2×#379C2211yescharacteristic
76C2×C4×C4⋊C4C2211yescharacteristic, complemented
77C2×C4×C22⋊C4C2211yescharacteristic
78C2×C4×C22⋊C4C2211yescharacteristic
79C2×C4×C22⋊C4C2211yescharacteristic
80#1445C2211yescharacteristic, complemented
81#1445C2211yescharacteristic, complemented
82#1445C2211yescharacteristic, complemented
83#1444C2211yescharacteristic, complemented
84#1444C2211yescharacteristic, complemented
85#1444C2211yescharacteristic, complemented
86#1443C2211yescharacteristic, complemented
87#1443C2211yescharacteristic, complemented
88#1443C2211yescharacteristic, complemented
89#1443C2211yescharacteristic, complemented
90#1443C2211yescharacteristic, complemented
91#1442C2211yescharacteristic, complemented
92#1442C2211yescharacteristic, complemented
93#1442C2211yescharacteristic, complemented
94#1442C2211yescharacteristic, complemented
95#1442C2211yescharacteristic, complemented
96#1442C2211yescharacteristic, complemented
97#1442C2211yescharacteristic, complemented
98#1442C2211yescharacteristic, complemented
99#1441C2211yescharacteristic, complemented
100#1441C2211yescharacteristic, complemented
101#1441C2211yescharacteristic, complemented
102#1441C2211yescharacteristic, complemented
103#1441C2211yescharacteristic, complemented
104#1441C2211yescharacteristic, complemented
105#1441C2211yescharacteristic, complemented
106#1441C2211yescharacteristic, complemented
107#1441C2211yescharacteristic, complemented
108#1440C2211yescharacteristic
109#1440C2211yescharacteristic
110#1440C2211yescharacteristic
111#1440C2211yescharacteristic
112#1440C2211yescharacteristic
113#1440C2211yescharacteristic
114#1440C2211yescharacteristic
115#1440C2211yescharacteristic
116#1439C2211yescharacteristic
117#1439C2211yescharacteristic
118#1439C2211yescharacteristic
119#1439C2211yescharacteristic
120#1439C2211yescharacteristic
121#1439C2211yescharacteristic
122#1439C2211yescharacteristic
123#1439C2211yescharacteristic
124#1439C2211yescharacteristic
125#1439C2211yescharacteristic
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1437C2211yescharacteristic
139#1437C2211yescharacteristic
140#1437C2211yescharacteristic
141#1437C2211yescharacteristic
142#1437C2211yescharacteristic
143#1437C2211yescharacteristic
144#1437C2211yescharacteristic
145#1437C2211yescharacteristic
146#1437C2211yescharacteristic
147#1437C2211yescharacteristic
148#1436C2211yescharacteristic, complemented
149#1436C2211yescharacteristic, complemented
150#1436C2211yescharacteristic, complemented
151#1436C2211yescharacteristic, complemented
152#1436C2211yescharacteristic, complemented
153#1436C2211yescharacteristic, complemented
154#1436C2211yescharacteristic, complemented
155#1436C2211yescharacteristic, complemented
156#1436C2211yescharacteristic, complemented
157#1436C2211yescharacteristic, complemented
158#1436C2211yescharacteristic, complemented
159#1436C2211yescharacteristic, complemented
160#1436C2211yescharacteristic, complemented
161#1436C2211yescharacteristic, complemented
162#1436C2211yescharacteristic, complemented
163#1436C2211yescharacteristic, complemented
164C4⋊#95C2211yescharacteristic, complemented
165C4⋊#95C2211yescharacteristic, complemented
166C4⋊#95C2211yescharacteristic, complemented
167C4⋊#95C2211yescharacteristic, complemented
168C4⋊#95C2211yescharacteristic, complemented
169C4⋊#95C2211yescharacteristic, complemented
170#1434C2211yescharacteristic, complemented
171#1434C2211yescharacteristic, complemented
172#1434C2211yescharacteristic, complemented
173#1434C2211yescharacteristic, complemented
174#1434C2211yescharacteristic, complemented
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
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×C4⋊C4C2311yescharacteristic
208C22×C4⋊C4C2311yescharacteristic
209C22×C4⋊C4C2311yescharacteristic
210C22×C4⋊C4C2311yescharacteristic
211C22×C4⋊C4C2311yescharacteristic
212C22×C4⋊C4C2311yescharacteristic
213C22×C4⋊C4C2311yescharacteristic
214C22×C4⋊C4C2311yescharacteristic
215C22×C22⋊C4—42no—
216C22×C22⋊C4—42no—
217C22×C22⋊C4—42no—
218C22×C22⋊C4—42no—
219C22×C22⋊C4—42no—
220C22×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
252C22×C22⋊C4C2311yescharacteristic
253C22×C22⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C42C2311yescharacteristic
260C22×C42C2311yescharacteristic
261C22×C42C2311yescharacteristic
262C22×C42C2311yescharacteristic
263C22×C42C2311yescharacteristic
264C22×C42C2311yescharacteristic
265C22×C42C2311yescharacteristic
266C22×C42C2311yescharacteristic
267C22×C42C2311yescharacteristic
268C22×C42C2311yescharacteristic
269#399C2×C418yescomplemented
270#397C2×C418yescomplemented
271#397C2×C418yescomplemented
272#397C2×C418yescomplemented
273#396C2×C418yescomplemented
274#396C2×C418yescomplemented
275#389—42no—
276#389—42no—
277#389—42no—
278#388—42no—
279#388—42no—
280#388—42no—
281#388—42no—
282#388—42no—
283#388—42no—
284#388—42no—
285#388—42no—
286#388C2×C418yescomplemented
287#388C2×C418yescomplemented
288#388C2×C418yescomplemented
289#388C2×C418yescomplemented
290#388C2×C418yescomplemented
291#388C2×C418yescomplemented
292#387—42no—
293#387—42no—
294#387—42no—
295#385—42no—
296#385—42no—
297#385—42no—
298#385—42no—
299#385—42no—
300#385—42no—
301#385—42no—
302#385—42no—
303#385—42no—
304#382—42no—
305#379—42no—
306#379—42no—
307#379C2×C418yes—
308#379C2×C418yes—
309#379C2×C418yes—
310C4×C4⋊C4—42no—
311C4×C22⋊C4—42no—
312C4×C22⋊C4—42no—
313C4×C22⋊C4—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—41no—
420C23×C4—41no—
421C23×C4—41no—
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×C4—41no—
439C23×C4—41no—
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—41no—
479C2×C4⋊C4—41no—
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⋊C4—41no—
507C2×C4⋊C4—41no—
508C2×C4⋊C4—41no—
509C2×C4⋊C4—41no—
510C2×C4⋊C4—41no—
511C2×C4⋊C4—41no—
512C2×C4⋊C4—41no—
513C2×C4⋊C4—41no—
514C2×C4⋊C4—41no—
515C2×C4⋊C4—41no—
516C2×C4⋊C4—41no—
517C2×C4⋊C4—41no—
518C2×C4⋊C4—41no—
519C2×C4⋊C4—41no—
520C2×C4⋊C4—41no—
521C2×C4⋊C4—41no—
522C2×C4⋊C4—41no—
523C2×C4⋊C4—41no—
524C2×C4⋊C4—41no—
525C2×C4⋊C4—41no—
526C2×C4⋊C4—41no—
527C2×C4⋊C4—41no—
528C2×C4⋊C4C22×C414yes—
529C2×C4⋊C4C22×C414yes—
530C2×C4⋊C4C22×C414yes—
531C2×C4⋊C4C22×C414yes—
532C2×C4⋊C4C22×C414yes—
533C2×C4⋊C4C22×C414yes—
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—22no—
550C2×C22⋊C4—22no—
551C2×C22⋊C4—22no—
552C2×C22⋊C4—22no—
553C2×C22⋊C4—22no—
554C2×C22⋊C4—22no—
555C2×C22⋊C4—22no—
556C2×C22⋊C4—22no—
557C2×C22⋊C4—22no—
558C2×C22⋊C4—22no—
559C2×C22⋊C4—22no—
560C2×C22⋊C4—22no—
561C2×C22⋊C4—22no—
562C2×C22⋊C4—22no—
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⋊C4—41no—
607C2×C22⋊C4—41no—
608C2×C22⋊C4—41no—
609C2×C22⋊C4—416no—
610C2×C22⋊C4—416no—
611C2×C22⋊C4—41no—
612C2×C22⋊C4—41no—
613C2×C22⋊C4—41no—
614C2×C22⋊C4—41no—
615C2×C22⋊C4—41no—
616C2×C22⋊C4—41no—
617C2×C22⋊C4—41no—
618C2×C22⋊C4—41no—
619C2×C22⋊C4—41no—
620C2×C22⋊C4—41no—
621C2×C22⋊C4—41no—
622C2×C22⋊C4—41no—
623C2×C22⋊C4—41no—
624C2×C22⋊C4—41no—
625C2×C22⋊C4—41no—
626C2×C22⋊C4—41no—
627C2×C22⋊C4—41no—
628C2×C22⋊C4—41no—
629C2×C22⋊C4—41no—
630C2×C22⋊C4—41no—
631C2×C22⋊C4—41no—
632C2×C22⋊C4C22×C414yes—
633C2×C22⋊C4C22×C414yes—
634C2×C22⋊C4C22×C414yes—
635C2×C22⋊C4C22×C414yes—
636C2×C22⋊C4C22×C414yes—
637C2×C22⋊C4C22×C414yes—
638C2×C22⋊C4C22×C414yes—
639C2×C22⋊C4C22×C414yes—
640C2×C22⋊C4C22×C414yes—
641C2×C22⋊C4C22×C414yes—
642C2×C22⋊C4C22×C414yes—
643C2×C22⋊C4C22×C414yes—
644C2×C22⋊C4C22×C414yes—
645C2×C22⋊C4C22×C414yes—
646C2×C22⋊C4C22×C414yes—
647C2×C22⋊C4C22×C414yes—
648C2×C22⋊C4C22×C414yes—
649C2×C22⋊C4C22×C414yes—
650C2×C42—22no—
651C2×C42—22no—
652C2×C42—22no—
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×C42—41no—
677C2×C42—41no—
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—41no—
692#95—41no—
693#95—41no—
694#95—41no—
695#95—41no—
696#95—41no—
697#95—41no—
698#95—41no—
699#95—41no—
700#95—41no—
701#95—41no—
702#95—41no—
703#95—41no—
704#95—41no—
705#95—41no—
706#95—41no—
707#95—41no—
708#95—41no—
709#95—41no—
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—
836C24H(5,𝔽2)12yes—
837C24H(5,𝔽2)12yes—
838C242−1+412yes—
839C242−1+412yes—
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—21no—
958C22×C4—21no—
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—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—44no—
1022C22×C4—44no—
1023C22×C4—44no—
1024C22×C4—44no—
1025C22×C4—44no—
1026C22×C4—44no—
1027C22×C4—44no—
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×C4—82no—
1042C22×C4—82no—
1043C22×C4—82no—
1044C22×C4—82no—
1045C22×C4—82no—
1046C22×C4—82no—
1047C22×C4—82no—
1048C22×C4—82no—
1049C22×C4C23×C412yes—
1050C22×C4C23×C412yes—
1051C22×C4C23×C412yes—
1052C22×C4C23×C412yes—
1053C22×C4C23×C412yes—
1054C22×C4C23×C412yes—
1055C22×C4C23×C412yes—
1056C22×C4C23×C412yes—
1057C22×C4C23×C412yes—
1058C22×C4C23×C412yes—
1059C22×C4C23×C412yes—
1060C22×C4C23×C412yes—
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—82no—
1074C4⋊C4—82no—
1075C4⋊C4—82no—
1076C4⋊C4—82no—
1077C4⋊C4—82no—
1078C4⋊C4—82no—
1079C4⋊C4—82no—
1080C4⋊C4—82no—
1081C4⋊C4—82no—
1082C4⋊C4—82no—
1083C4⋊C4—82no—
1084C4⋊C4—82no—
1085C4⋊C4—82no—
1086C4⋊C4—82no—
1087C22⋊C4—28no—
1088C22⋊C4—28no—
1089C22⋊C4—28no—
1090C22⋊C4—28no—
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—44no—
1107C22⋊C4—44no—
1108C22⋊C4—44no—
1109C22⋊C4—44no—
1110C22⋊C4—44no—
1111C22⋊C4—44no—
1112C22⋊C4—44no—
1113C22⋊C4—44no—
1114C22⋊C4—44no—
1115C22⋊C4—44no—
1116C22⋊C4—82no—
1117C22⋊C4—82no—
1118C22⋊C4—82no—
1119C22⋊C4—82no—
1120C22⋊C4—82no—
1121C22⋊C4—82no—
1122C22⋊C4—82no—
1123C22⋊C4—82no—
1124C22⋊C4—82no—
1125C42—44no—
1126C42—44no—
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—
1253C23#52014yes—
1254C23#52014yes—
1255C23C24×C411yescharacteristic
1256C23C2×H(5,𝔽2)11yescharacteristic
1257C23C2×H(5,𝔽2)11yescharacteristic
1258C23C2×H(5,𝔽2)11yescharacteristic
1259C23C2×H(5,𝔽2)11yescharacteristic
1260C23C2×H(5,𝔽2)11yescharacteristic
1261C23C2×H(5,𝔽2)11yescharacteristic
1262C23C2×2−1+411yescharacteristic
1263C23C2×2−1+411yescharacteristic
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—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
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—41no—
1465C2×C4—41no—
1466C2×C4—88no—
1467C2×C4—88no—
1468C2×C4—88no—
1469C2×C4—88no—
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—
1516C22C2×#52011yescharacteristic
1517C22C2×#52011yescharacteristic
1518C22#342811yescharacteristic
1519C22C4×H(5,𝔽2)11yescharacteristic
1520C22C4×H(5,𝔽2)11yescharacteristic
1521C22C4×H(5,𝔽2)11yescharacteristic
1522C22C4×H(5,𝔽2)11yescharacteristic
1523C22#353211yescharacteristic
1524C22#353211yescharacteristic
1525C22#353311yescharacteristic
1526C22#353311yescharacteristic
1527C22#353311yescharacteristic
1528C22#353411yescharacteristic
1529C22#353411yescharacteristic
1530C22#353411yescharacteristic
1531C22#353411yescharacteristic
1532C22#353511yescharacteristic
1533C22#353511yescharacteristic
1534C22#353611yescharacteristic
1535C22#353811yescharacteristic
1536C22#354111yescharacteristic
1537C22#354111yescharacteristic
1538C22#354211yescharacteristic
1539C22#354611yescharacteristic
1540C22#355811yescharacteristic
1541C22#355811yescharacteristic
1542C22#356011yescharacteristic
1543C22#356111yescharacteristic
1544C22#356111yescharacteristic
1545C22#356211yescharacteristic
1546C22#356411yescharacteristic
1547C22#356411yescharacteristic
1548C22#356411yescharacteristic
1549C22#356611yescharacteristic
1550C22#356611yescharacteristic
1551C4—42no—
1552C4—42no—
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—81no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4—81no—
1576C4—81no—
1577C4—81no—
1578C4—81no—
1579C2—44no—
1580C2—44no—
1581C2—82no—
1582C2#3441611yescharacteristic
1583C2#3442411yescharacteristic
1584C2#3445411yescharacteristic
1585C2#3445711yescharacteristic
1586C2#3445811yescharacteristic
1587C2#3445811yescharacteristic
1588C2#3451711yescharacteristic
1589C2#5415211yescharacteristic
1590C2#5415711yescharacteristic
1591C2#5442811yescharacteristic
1592C2#5443311yescharacteristic
1593C2#5481411yescharacteristic
1594C2#5507211yescharacteristic
1595C2#5573111yescharacteristic
1596C2#5574611yescharacteristic
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. #14671C2semidirect
3. #14652C2semidirect
4. #14633C2semidirect
5. #14586C2semidirect
6. #14556C2semidirect
7. #14551C2semidirect
8. #14549C2semidirect
9. #14544C2semidirect
10. #14542C2semidirect
11. #14509C2semidirect
12. #14442C2semidirect
13. #14436C2semidirect
14. #14434C2semidirect
15. #14433C2semidirect
16. #14412C2semidirect
17. #14403C2semidirect
18. #14393C2semidirect
20. #14317C2semidirect
21. #14304C2semidirect
23. #14209C2semidirect
24. #14183C2semidirect
26. #14118C2semidirect
27. #14112C2semidirect
28. #14077C2semidirect
34. #2735C4semidirect
41. C2×#389C22semidirect
42. C2×#389C22semidirect
43. C2×#389C22semidirect
58. C2×#387C22semidirect
59. C2×#387C22semidirect
60. C2×#387C22semidirect
70. C2×#382C22semidirect
76. C2×C4×C4⋊C4C22semidirect
80. #1445C22semidirect
81. #1445C22semidirect
82. #1445C22semidirect
83. #1444C22semidirect
84. #1444C22semidirect
85. #1444C22semidirect
86. #1443C22semidirect
87. #1443C22semidirect
88. #1443C22semidirect
89. #1443C22semidirect
90. #1443C22semidirect
91. #1442C22semidirect
92. #1442C22semidirect
93. #1442C22semidirect
94. #1442C22semidirect
95. #1442C22semidirect
96. #1442C22semidirect
97. #1442C22semidirect
98. #1442C22semidirect
99. #1441C22semidirect
100. #1441C22semidirect
101. #1441C22semidirect
102. #1441C22semidirect
103. #1441C22semidirect
104. #1441C22semidirect
105. #1441C22semidirect
106. #1441C22semidirect
107. #1441C22semidirect
148. #1436C22semidirect
149. #1436C22semidirect
150. #1436C22semidirect
151. #1436C22semidirect
152. #1436C22semidirect
153. #1436C22semidirect
154. #1436C22semidirect
155. #1436C22semidirect
156. #1436C22semidirect
157. #1436C22semidirect
158. #1436C22semidirect
159. #1436C22semidirect
160. #1436C22semidirect
161. #1436C22semidirect
162. #1436C22semidirect
163. #1436C22semidirect
164. C4⋊#95C22semidirect
165. C4⋊#95C22semidirect
166. C4⋊#95C22semidirect
167. C4⋊#95C22semidirect
168. C4⋊#95C22semidirect
169. C4⋊#95C22semidirect
170. #1434C22semidirect
171. #1434C22semidirect
172. #1434C22semidirect
173. #1434C22semidirect
174. #1434C22semidirect
187. C4×#95C22semidirect
269. #399C2×C4semidirect
270. #397C2×C4semidirect
271. #397C2×C4semidirect
272. #397C2×C4semidirect
273. #396C2×C4semidirect
274. #396C2×C4semidirect
286. #388C2×C4semidirect
287. #388C2×C4semidirect
288. #388C2×C4semidirect
289. #388C2×C4semidirect
290. #388C2×C4semidirect
291. #388C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#27352
#146712
#146522
#146332
#145862
#145562
#145512
#145492
#145442
#145422
#145092
#144422
#144362
#144342
#144332
#144122
#144032
#143932
#143652
#143172
#143042
#142622
#142092
#141832
#141272
#141182
#141122
#140772
#139912
#139712