Finite Group Databasebeta

← #513702

Subgroups — #513702

Order 512.

3838 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2364C211yesmaximal, characteristic
2C2×#2363C211yesmaximal, characteristic
3C2×#2333C211yesmaximal, characteristic
4#13825C211yesmaximal, characteristic, complemented
5#13824C211yesmaximal, characteristic, complemented
6#13824C211yesmaximal, characteristic, complemented
7#13824C211yesmaximal, characteristic, complemented
8#13822C211yesmaximal, characteristic, complemented
9#13822C211yesmaximal, characteristic, complemented
10#13820C211yesmaximal, characteristic, complemented
11#13819C211yesmaximal, characteristic, complemented
12#13816C211yesmaximal, characteristic, complemented
13#13816C211yesmaximal, characteristic, complemented
14#13813C211yesmaximal, characteristic, complemented
15#13813C211yesmaximal, characteristic, complemented
16#13807C211yesmaximal, characteristic, complemented
17#13799C211yesmaximal, characteristic, complemented
18#13792C211yesmaximal, characteristic, complemented
19#13791C211yesmaximal, characteristic, complemented
20#13791C211yesmaximal, characteristic, complemented
21#13791C211yesmaximal, characteristic, complemented
22#13788C211yesmaximal, characteristic, complemented
23C4×#390C211yesmaximal, characteristic, complemented
24C4×#387C211yesmaximal, characteristic, complemented
25C4×#388C211yesmaximal, characteristic, complemented
26C4×#386C211yesmaximal, characteristic, complemented
27C4×#386C211yesmaximal, characteristic, complemented
28#13761C211yesmaximal, characteristic, complemented
29#13749C211yesmaximal, characteristic, complemented
30#13749C211yesmaximal, characteristic, complemented
31C42×C22⋊C4C211yesmaximal, characteristic, complemented
32C22×#121C2211yescharacteristic
33C22×C4×D4C2211yescharacteristic
34C22×C4×D4C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C22×#117C2211yescharacteristic
37C23×C42C2211yescharacteristic
38#2364C4116yescomplemented
39#2363C4116yescomplemented
40#2333C4116yescomplemented
41C2×#390C2211yescharacteristic
42C2×#390C2211yescharacteristic
43C2×#390C2211yescharacteristic
44C2×#390C2211yescharacteristic
45C2×#390C2211yescharacteristic
46C2×#389C2211yescharacteristic
47C2×#388C2211yescharacteristic
48C2×#388C2211yescharacteristic
49C2×#388C2211yescharacteristic
50C2×#388C2211yescharacteristic
51C2×#388C2211yescharacteristic
52C2×#388C2211yescharacteristic
53C2×#387C2211yescharacteristic
54C2×#387C2211yescharacteristic
55C2×#387C2211yescharacteristic
56C2×#387C2211yescharacteristic
57C2×#386C2211yescharacteristic
58C2×#386C2211yescharacteristic
59C2×#386C2211yescharacteristic
60C2×#386C2211yescharacteristic
61C2×#386C2211yescharacteristic
62C2×#386C2211yescharacteristic
63C2×#386C2211yescharacteristic
64C2×#386C2211yescharacteristic
65C2×#386C2211yescharacteristic
66C2×#386C2211yescharacteristic
67C2×#381C2211yescharacteristic
68C2×C4×C4⋊C4C2211yescharacteristic
69C2×C4×C4⋊C4C2211yescharacteristic
70C2×C4×C4⋊C4C2211yescharacteristic
71C2×C4×C4⋊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×C4×C22⋊C4C2211yescharacteristic
80C2×C4×C22⋊C4C2211yescharacteristic
81C2×C4×C22⋊C4C2211yescharacteristic
82C2×C4×C22⋊C4C2211yescharacteristic
83C2×C4×C22⋊C4C2211yescharacteristic
84C2×C4×C22⋊C4C2211yescharacteristic
85C2×C4×C22⋊C4C2211yescharacteristic
86C2×C4×C22⋊C4C2211yescharacteristic
87C2×C4×C22⋊C4C2211yescharacteristic
88C2×C4×C22⋊C4C2211yescharacteristic
89C2×C4×C22⋊C4C2211yescharacteristic
90C2×C4×C22⋊C4C2211yescharacteristic
91C2×C4×C22⋊C4C2211yescharacteristic
92C2×C4×C22⋊C4C2211yescharacteristic
93C2×C4×C22⋊C4C2211yescharacteristic
94C2×C4×C22⋊C4C2211yescharacteristic
95C2×C4×C22⋊C4C2211yescharacteristic
96C2×C4×C22⋊C4C2211yescharacteristic
97C2×C4×C22⋊C4C2211yescharacteristic
98C2×C4×C22⋊C4C2211yescharacteristic
99C2×#376C2211yescharacteristic
100C22×#95C2211yescharacteristic
101C22×#95C2211yescharacteristic
102C2×C43C2211yescharacteristic
103C2×C43C2211yescharacteristic
104#1437C2211yescharacteristic
105#1437C2211yescharacteristic
106#1437C2211yescharacteristic
107#1437C2211yescharacteristic
108#1437C2211yescharacteristic
109#1437C2211yescharacteristic
110#1437C2211yescharacteristic
111#1437C2211yescharacteristic
112#1437C2211yescharacteristic
113#1437C2211yescharacteristic
114#1437C2211yescharacteristic
115#1437C2211yescharacteristic
116#1437C2211yescharacteristic
117#1437C2211yescharacteristic
118#1437C2211yescharacteristic
119#1437C2211yescharacteristic
120#1437C2211yescharacteristic
121#1437C2211yescharacteristic
122#1437C2211yescharacteristic
123#1437C2211yescharacteristic
124#1436C2211yescharacteristic
125#1436C2211yescharacteristic
126#1436C2211yescharacteristic
127#1436C2211yescharacteristic
128#1436C2211yescharacteristic
129#1436C2211yescharacteristic
130#1436C2211yescharacteristic
131#1436C2211yescharacteristic
132#1436C2211yescharacteristic
133#1436C2211yescharacteristic
134#1436C2211yescharacteristic
135#1436C2211yescharacteristic
136#1436C2211yescharacteristic
137#1436C2211yescharacteristic
138#1436C2211yescharacteristic
139#1436C2211yescharacteristic
140#1436C2211yescharacteristic
141#1436C2211yescharacteristic
142#1436C2211yescharacteristic
143#1436C2211yescharacteristic
144C4⋊#95C2211yescharacteristic
145C4⋊#95C2211yescharacteristic
146C4⋊#95C2211yescharacteristic
147#1434C2211yescharacteristic
148#1434C2211yescharacteristic
149#1434C2211yescharacteristic
150#1434C2211yescharacteristic
151#1434C2211yescharacteristic
152#1434C2211yescharacteristic
153#1434C2211yescharacteristic
154#1434C2211yescharacteristic
155#1434C2211yescharacteristic
156C22⋊#95C2211yescharacteristic
157C22⋊#95C2211yescharacteristic
158C22⋊#95C2211yescharacteristic
159C22⋊#95C2211yescharacteristic
160C22⋊#95C2211yescharacteristic
161C22⋊#95C2211yescharacteristic
162C22⋊#95C2211yescharacteristic
163C22⋊#95C2211yescharacteristic
164C4×#95C2211yescharacteristic
165C4×#95C2211yescharacteristic
166C4×#95C2211yescharacteristic
167C4×#95C2211yescharacteristic
168C4×#95C2211yescharacteristic
169C4×#95C2211yescharacteristic
170C4×#95C2211yescharacteristic
171C4×#95C2211yescharacteristic
172C4×#95C2211yescharacteristic
173C4×#95C2211yescharacteristic
174C4×#95C2211yescharacteristic
175C4×#95C2211yescharacteristic
176C4×#95C2211yescharacteristic
177C4×#95C2211yescharacteristic
178C4×#95C2211yescharacteristic
179C4×#95C2211yescharacteristic
180C4×#95C2211yescharacteristic
181C4×#95C2211yescharacteristic
182C4×#95C2211yescharacteristic
183C4×#95C2211yescharacteristic
184C4×#95C2211yescharacteristic
185C4×#95C2211yescharacteristic
186C4×#95C2211yescharacteristic
187C4×#95C2211yescharacteristic
188C4×#95C2211yescharacteristic
189C4×#95C2211yescharacteristic
190C23×D4C2311yescharacteristic
191C23×D4C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C24×C4C2311yescharacteristic
194C24×C4C2311yescharacteristic
195C24×C4C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C2×#121C2×C418yes—
203C2×#121C2×C418yes—
204C2×#121C2×C418yes—
205C2×C4×D4—42no—
206C2×C4×D4—42no—
207C2×C4×D4—42no—
208C2×C4×D4—42no—
209C2×C4×D4—42no—
210C2×C4×D4—42no—
211C2×C4×D4C2×C418yescomplemented
212C2×C4×D4C2×C418yescomplemented
213C2×C4×D4C2×C418yescomplemented
214C2×#117—42no—
215C2×#117—42no—
216C2×#117C2×C418yescomplemented
217C22×C4⋊C4C2311yescharacteristic
218C22×C4⋊C4C2311yescharacteristic
219C22×C4⋊C4C2311yescharacteristic
220C22×C4⋊C4C2311yescharacteristic
221C22×C4⋊C4C2311yescharacteristic
222C22×C4⋊C4C2311yescharacteristic
223C22×C4⋊C4C2311yescharacteristic
224C22×C4⋊C4C2311yescharacteristic
225C22×C4⋊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×C42—24no—
257C22×C42—42no—
258C22×C42—42no—
259C22×C42C2311yescharacteristic
260C22×C42C2311yescharacteristic
261C22×C42C2311yescharacteristic
262C22×C42C2311yescharacteristic
263C22×C42C2311yescharacteristic
264C22×C42C2311yescharacteristic
265C22×C42C2311yescharacteristic
266C22×C42C2311yescharacteristic
267C22×C42C2311yescharacteristic
268C22×C42C2311yescharacteristic
269C22×C42C2311yescharacteristic
270C22×C42C2311yescharacteristic
271C22×C42C2311yescharacteristic
272C22×C42C2311yescharacteristic
273C22×C42C2311yescharacteristic
274C22×C42C2311yescharacteristic
275C22×C42C2311yescharacteristic
276C22×C42C2311yescharacteristic
277C22×C42C2311yescharacteristic
278C22×C42C2311yescharacteristic
279C22×C42C2311yescharacteristic
280C22×C42C2311yescharacteristic
281C22×C42C2311yescharacteristic
282C22×C42C2311yescharacteristic
283C22×C42C2311yescharacteristic
284C22×C42C2311yescharacteristic
285C22×C42C2311yescharacteristic
286C22×C42C2311yescharacteristic
287C22×C42C2311yescharacteristic
288C22×C42C2311yescharacteristic
289C22×C42C2311yescharacteristic
290C22×C42C2311yescharacteristic
291C22×C42C2311yescharacteristic
292C22×C42C2311yescharacteristic
293#390C2×C418yescomplemented
294#390C2×C418yescomplemented
295#390C2×C418yescomplemented
296#390C2×C418yescomplemented
297#390C2×C418yescomplemented
298#389C2×C418yescomplemented
299#388C2×C418yescomplemented
300#388C2×C418yescomplemented
301#388C2×C418yescomplemented
302#388C2×C418yescomplemented
303#388C2×C418yescomplemented
304#388C2×C418yescomplemented
305#387C2×C418yescomplemented
306#387C2×C418yescomplemented
307#387C2×C418yescomplemented
308#387C2×C418yescomplemented
309#386C2×C418yes—
310#386C2×C418yes—
311#386C2×C418yescomplemented
312#386C2×C418yescomplemented
313#386C2×C418yescomplemented
314#386C2×C418yescomplemented
315#386C2×C418yescomplemented
316#386C2×C418yescomplemented
317#386C2×C418yescomplemented
318#386C2×C418yescomplemented
319#381C2×C418yescomplemented
320C4×C4⋊C4—42no—
321C4×C4⋊C4—42no—
322C4×C4⋊C4—42no—
323C4×C4⋊C4C2×C418yescomplemented
324C4×C22⋊C4—24no—
325C4×C22⋊C4—24no—
326C4×C22⋊C4—24no—
327C4×C22⋊C4—24no—
328C4×C22⋊C4—24no—
329C4×C22⋊C4—24no—
330C4×C22⋊C4—24no—
331C4×C22⋊C4—24no—
332C4×C22⋊C4—24no—
333C4×C22⋊C4—24no—
334C4×C22⋊C4—42no—
335C4×C22⋊C4—42no—
336C4×C22⋊C4—42no—
337C4×C22⋊C4—42no—
338C4×C22⋊C4—42no—
339C4×C22⋊C4—42no—
340C4×C22⋊C4—42no—
341C4×C22⋊C4—42no—
342C4×C22⋊C4C2×C418yescomplemented
343C4×C22⋊C4C2×C418yescomplemented
344C4×C22⋊C4C2×C418yescomplemented
345C4×C22⋊C4C2×C418yescomplemented
346C4×C22⋊C4C2×C418yescomplemented
347C4×C22⋊C4C2×C418yescomplemented
348C4×C22⋊C4C2×C418yescomplemented
349C4×C22⋊C4C2×C418yescomplemented
350C4×C22⋊C4C2×C418yescomplemented
351#376—42no—
352C2×#95—24no—
353C2×#95C2×C418yescomplemented
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
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
401C2×#95C2311yescharacteristic
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C43—42no—
425C43—42no—
426C25C2411yescharacteristic
427C25C2411yescharacteristic
428C25C2411yescharacteristic
429C22×D4—41no—
430C22×D4—41no—
431C22×D4—41no—
432C22×D4—41no—
433C22×D4—41no—
434C22×D4—41no—
435C22×D4—41no—
436C22×D4—41no—
437C22×D4—41no—
438C22×D4—41no—
439C22×D4—41no—
440C22×D4—41no—
441C22×D4C22×C414yes—
442C22×D4C22×C414yes—
443C22×D4C22×C414yes—
444C22×D4C22×C414yes—
445C22×D4C22×C414yes—
446C22×D4C22×C414yes—
447C22×D4C22×C414yes—
448C22×D4C22×C414yes—
449C22×D4C22×C414yes—
450C23×C4—22no—
451C23×C4—22no—
452C23×C4—22no—
453C23×C4—22no—
454C23×C4—22no—
455C23×C4—22no—
456C23×C4—22no—
457C23×C4—22no—
458C23×C4—22no—
459C23×C4—22no—
460C23×C4—22no—
461C23×C4—22no—
462C23×C4—22no—
463C23×C4—22no—
464C23×C4—22no—
465C23×C4—22no—
466C23×C4—22no—
467C23×C4—22no—
468C23×C4—22no—
469C23×C4—22no—
470C23×C4—41no—
471C23×C4—41no—
472C23×C4—41no—
473C23×C4—41no—
474C23×C4—41no—
475C23×C4—41no—
476C23×C4—41no—
477C23×C4—41no—
478C23×C4—41no—
479C23×C4—41no—
480C23×C4—41no—
481C23×C4—41no—
482C23×C4—41no—
483C23×C4—41no—
484C23×C4—41no—
485C23×C4—41no—
486C23×C4—41no—
487C23×C4—41no—
488C23×C4—41no—
489C23×C4—41no—
490C23×C4—41no—
491C23×C4—41no—
492C23×C4—41no—
493C23×C4—41no—
494C23×C4—41no—
495C23×C4—41no—
496C23×C4—41no—
497C23×C4—41no—
498C23×C4—41no—
499C23×C4—41no—
500C23×C4—41no—
501C23×C4—41no—
502C23×C4C22×C414yes—
503C23×C4C22×C414yes—
504C23×C4C22×C414yes—
505C23×C4C22×C414yes—
506C23×C4C22×C414yes—
507C23×C4C22×C414yes—
508C23×C4C22×C414yes—
509C23×C4C22×C414yes—
510C23×C4C22×C414yes—
511C23×C4C22×C414yes—
512C23×C4C22×C414yes—
513C23×C4C2411yescharacteristic
514C23×C4C2411yescharacteristic
515C23×C4C2411yescharacteristic
516C23×C4C2411yescharacteristic
517C23×C4C2411yescharacteristic
518C23×C4C2411yescharacteristic
519C23×C4C2411yescharacteristic
520C23×C4C2411yescharacteristic
521C23×C4C2411yescharacteristic
522C23×C4C2411yescharacteristic
523C23×C4C2411yescharacteristic
524C23×C4C2411yescharacteristic
525C23×C4C2411yescharacteristic
526C23×C4C2411yescharacteristic
527C23×C4C2411yescharacteristic
528C23×C4C2411yescharacteristic
529C23×C4C2411yescharacteristic
530C23×C4C2411yescharacteristic
531C23×C4C2411yescharacteristic
532C23×C4C2411yescharacteristic
533C23×C4C2411yescharacteristic
534C23×C4C2411yescharacteristic
535C23×C4C2411yescharacteristic
536C23×C4C2411yescharacteristic
537C23×C4C2411yescharacteristic
538C23×C4C2411yescharacteristic
539C23×C4C2411yescharacteristic
540C23×C4C2411yescharacteristic
541#121C42164yescomplemented
542C4×D4—416no—
543C4×D4—416no—
544C4×D4—416no—
545#117—416no—
546C2×C4⋊C4—22no—
547C2×C4⋊C4—22no—
548C2×C4⋊C4—22no—
549C2×C4⋊C4—22no—
550C2×C4⋊C4—41no—
551C2×C4⋊C4—41no—
552C2×C4⋊C4—41no—
553C2×C4⋊C4—41no—
554C2×C4⋊C4—41no—
555C2×C4⋊C4—41no—
556C2×C4⋊C4—41no—
557C2×C4⋊C4—41no—
558C2×C4⋊C4—41no—
559C2×C4⋊C4—41no—
560C2×C4⋊C4—41no—
561C2×C4⋊C4—41no—
562C2×C4⋊C4C22×C414yes—
563C2×C4⋊C4C22×C414yes—
564C2×C4⋊C4C22×C414yes—
565C2×C4⋊C4C22×C414yes—
566C2×C4⋊C4C22×C414yes—
567C2×C4⋊C4C22×C414yes—
568C2×C4⋊C4C22×C414yes—
569C2×C4⋊C4C22×C414yes—
570C2×C4⋊C4C22×C414yes—
571C2×C4⋊C4C22×C414yes—
572C2×C4⋊C4C22×C414yes—
573C2×C22⋊C4—22no—
574C2×C22⋊C4—22no—
575C2×C22⋊C4—22no—
576C2×C22⋊C4—22no—
577C2×C22⋊C4—22no—
578C2×C22⋊C4—22no—
579C2×C22⋊C4—22no—
580C2×C22⋊C4—22no—
581C2×C22⋊C4—22no—
582C2×C22⋊C4—22no—
583C2×C22⋊C4—22no—
584C2×C22⋊C4—22no—
585C2×C22⋊C4—22no—
586C2×C22⋊C4—22no—
587C2×C22⋊C4—22no—
588C2×C22⋊C4—22no—
589C2×C22⋊C4—22no—
590C2×C22⋊C4—22no—
591C2×C22⋊C4—22no—
592C2×C22⋊C4—22no—
593C2×C22⋊C4—22no—
594C2×C22⋊C4—22no—
595C2×C22⋊C4—22no—
596C2×C22⋊C4—22no—
597C2×C22⋊C4—22no—
598C2×C22⋊C4—22no—
599C2×C22⋊C4—22no—
600C2×C22⋊C4—22no—
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—41no—
610C2×C22⋊C4—41no—
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⋊C4C22×C414yes—
630C2×C22⋊C4C22×C414yes—
631C2×C22⋊C4C22×C414yes—
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×C22⋊C4C22×C414yes—
651C2×C22⋊C4C22×C414yes—
652C2×C22⋊C4C22×C414yes—
653C2×C22⋊C4C22×C414yes—
654C2×C22⋊C4C22×C414yes—
655C2×C22⋊C4C22×C414yes—
656C2×C22⋊C4C22×C414yes—
657C2×C22⋊C4C22×C414yes—
658C2×C22⋊C4C22×C414yes—
659C2×C22⋊C4C22×C414yes—
660C2×C22⋊C4C22×C414yes—
661C2×C22⋊C4C22×C414yes—
662C2×C22⋊C4C22×C414yes—
663C2×C42—22no—
664C2×C42—22no—
665C2×C42—22no—
666C2×C42—22no—
667C2×C42—22no—
668C2×C42—22no—
669C2×C42—22no—
670C2×C42—22no—
671C2×C42—22no—
672C2×C42—22no—
673C2×C42—22no—
674C2×C42—22no—
675C2×C42—22no—
676C2×C42—22no—
677C2×C42—22no—
678C2×C42—22no—
679C2×C42—22no—
680C2×C42—22no—
681C2×C42—22no—
682C2×C42—22no—
683C2×C42—22no—
684C2×C42—22no—
685C2×C42—22no—
686C2×C42—22no—
687C2×C42—22no—
688C2×C42—22no—
689C2×C42—22no—
690C2×C42—22no—
691C2×C42—22no—
692C2×C42—22no—
693C2×C42—416no—
694C2×C42—41no—
695C2×C42—41no—
696C2×C42—41no—
697C2×C42—41no—
698C2×C42—41no—
699C2×C42—41no—
700C2×C42—41no—
701C2×C42—41no—
702C2×C42—41no—
703C2×C42—41no—
704C2×C42—41no—
705C2×C42—41no—
706C2×C42—41no—
707C2×C42—41no—
708C2×C42—41no—
709C2×C42—41no—
710C2×C42—41no—
711C2×C42—41no—
712C2×C42—41no—
713C2×C42—41no—
714C2×C42—41no—
715C2×C42—41no—
716C2×C42—41no—
717C2×C42—41no—
718C2×C42—41no—
719C2×C42—41no—
720C2×C42—41no—
721C2×C42—41no—
722C2×C42—41no—
723C2×C42—41no—
724C2×C42—41no—
725C2×C42—41no—
726C2×C42—41no—
727C2×C42—41no—
728C2×C42—41no—
729C2×C42—41no—
730C2×C42—41no—
731C2×C42—41no—
732C2×C42—41no—
733C2×C42—41no—
734C2×C42—41no—
735C2×C42—41no—
736C2×C42—41no—
737C2×C42—41no—
738C2×C42—41no—
739C2×C42—41no—
740C2×C42—41no—
741C2×C42—41no—
742C2×C42—41no—
743C2×C42—41no—
744C2×C42—41no—
745C2×C42—41no—
746C2×C42—41no—
747C2×C42—41no—
748C2×C42—41no—
749C2×C42—41no—
750C2×C42C22×C414yes—
751C2×C42C22×C414yes—
752C2×C42C22×C414yes—
753C2×C42C22×C414yes—
754C2×C42C22×C414yes—
755C2×C42C22×C414yes—
756C2×C42C22×C414yes—
757C2×C42C22×C414yes—
758C2×C42C22×C414yes—
759C2×C42C22×C414yes—
760C2×C42C22×C414yes—
761C2×C42C22×C414yes—
762C2×C42C22×C414yes—
763C2×C42C22×C414yes—
764C2×C42#4114yes—
765C2×C42#4114yes—
766#95—22no—
767#95—22no—
768#95—22no—
769#95—22no—
770#95—22no—
771#95—22no—
772#95—22no—
773#95—22no—
774#95—22no—
775#95—22no—
776#95—22no—
777#95—22no—
778#95—22no—
779#95—22no—
780#95—22no—
781#95—22no—
782#95—22no—
783#95—22no—
784#95—22no—
785#95—22no—
786#95—22no—
787#95—22no—
788#95—22no—
789#95—22no—
790#95—22no—
791#95—22no—
792#95—41no—
793#95—41no—
794#95—41no—
795#95—41no—
796#95—41no—
797#95—41no—
798#95—41no—
799#95—41no—
800#95—41no—
801#95—41no—
802#95—41no—
803#95—41no—
804#95—41no—
805#95—41no—
806#95—41no—
807#95—41no—
808#95C22×C414yes—
809#95C22×C414yes—
810#95C22×C414yes—
811#95C22×C414yes—
812#95C22×C414yes—
813#95C22×C414yes—
814#95C22×C414yes—
815#95C22×C414yes—
816#95C22×C414yes—
817#95C22×C414yes—
818#95C22×C414yes—
819#95C22×C414yes—
820#95C22×C414yes—
821#95C22×C414yes—
822#95C22×C414yes—
823#95C22×C414yes—
824#95C22×C414yes—
825#95C22×C414yes—
826#95C22×C414yes—
827#95C22×C414yes—
828#95C22×C414yes—
829#95C22×C414yes—
830#95C22×C414yes—
831#95C22×C414yes—
832#95C22×C414yes—
833#95C22×C414yes—
834#95#4114yes—
835#95#4114yes—
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—21no—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24C23×C412yes—
873C24C23×C412yes—
874C24C23×C412yes—
875C24C23×C412yes—
876C24C23×C412yes—
877C24C23×C412yes—
878C24C23×C412yes—
879C24C23×C412yes—
880C24C23×C412yes—
881C24C2511yescharacteristic
882C2×D4—44no—
883C2×D4—44no—
884C2×D4—44no—
885C2×D4—44no—
886C2×D4—44no—
887C2×D4—44no—
888C2×D4—44no—
889C2×D4—44no—
890C2×D4—44no—
891C2×D4—44no—
892C2×D4—44no—
893C2×D4—44no—
894C2×D4—44no—
895C2×D4—44no—
896C2×D4—44no—
897C2×D4—44no—
898C2×D4—44no—
899C2×D4—44no—
900C2×D4C2×C42116yes—
901C2×D4C2×C42116yes—
902C2×D4C2×C42116yescomplemented
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—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—28no—
1048C22×C4—28no—
1049C22×C4—28no—
1050C22×C4—28no—
1051C22×C4—28no—
1052C22×C4—28no—
1053C22×C4—28no—
1054C22×C4—28no—
1055C22×C4—28no—
1056C22×C4—28no—
1057C22×C4—44no—
1058C22×C4—44no—
1059C22×C4—44no—
1060C22×C4—44no—
1061C22×C4—44no—
1062C22×C4—44no—
1063C22×C4—44no—
1064C22×C4—44no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—82no—
1090C22×C4—82no—
1091C22×C4—82no—
1092C22×C4—82no—
1093C22×C4—82no—
1094C22×C4—82no—
1095C22×C4—82no—
1096C22×C4—82no—
1097C22×C4—82no—
1098C22×C4—82no—
1099C22×C4—82no—
1100C22×C4—82no—
1101C22×C4—82no—
1102C22×C4—82no—
1103C22×C4—82no—
1104C22×C4—82no—
1105C22×C4—82no—
1106C22×C4—82no—
1107C22×C4—82no—
1108C22×C4—82no—
1109C22×C4C2×C42116yescomplemented
1110C22×C4C23×C412yes—
1111C22×C4C23×C412yes—
1112C22×C4C23×C412yes—
1113C22×C4C23×C412yes—
1114C22×C4C23×C412yes—
1115C22×C4C23×C412yes—
1116C22×C4C23×C412yes—
1117C22×C4C23×C412yes—
1118C22×C4C23×C412yes—
1119C22×C4C23×C412yes—
1120C22×C4C23×C412yes—
1121C22×C4C23×C412yes—
1122C22×C4C23×C412yes—
1123C22×C4C23×C412yes—
1124C22×C4C23×C412yes—
1125C22×C4C23×C412yes—
1126C22×C4C23×C412yes—
1127C22×C4C23×C412yes—
1128C22×C4C23×C412yes—
1129C22×C4C23×C412yes—
1130C22×C4C23×C412yes—
1131C22×C4C23×C412yes—
1132C22×C4C23×C412yes—
1133C22×C4C23×C412yes—
1134C22×C4C23×C412yes—
1135C22×C4C23×C412yes—
1136C22×C4C23×C412yes—
1137C22×C4C23×C412yes—
1138C22×C4C23×C412yes—
1139C22×C4C23×C412yes—
1140C22×C4C23×C412yes—
1141C22×C4C23×C412yes—
1142C22×C4C23×C412yes—
1143C22×C4C23×C412yes—
1144C22×C4C23×C412yes—
1145C22×C4C23×C412yes—
1146C22×C4C2×#4112yes—
1147C22×C4C2×#4112yes—
1148C22×C4C2×#4112yes—
1149C22×C4C2×#4112yes—
1150C22×C4C2×#4112yes—
1151C22×C4C2×#4112yes—
1152C22×C4C2×#4112yes—
1153C22×C4C2×#4112yes—
1154C22×C4C2×#4112yes—
1155C22×C4C2×#4112yes—
1156C22×C4C2×#4112yes—
1157C22×C4C2×#4112yes—
1158C22×C4H(5,𝔽2)12yes—
1159C22×C4H(5,𝔽2)12yes—
1160C22×C4H(5,𝔽2)12yes—
1161C22×C4H(5,𝔽2)12yes—
1162C4⋊C4—28no—
1163C4⋊C4—28no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4C2×C42116yescomplemented
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—28no—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
1182C22⋊C4—28no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4C2×C42116yes—
1200C22⋊C4C2×C42116yescomplemented
1201C42—28no—
1202C42—28no—
1203C42—28no—
1204C42—44no—
1205C42—44no—
1206C42—44no—
1207C42—44no—
1208C42—44no—
1209C42—44no—
1210C42—44no—
1211C42—44no—
1212C42—44no—
1213C42—44no—
1214C42—44no—
1215C42—44no—
1216C42—44no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C42—44no—
1221C42—44no—
1222C42—44no—
1223C42—44no—
1224C42—44no—
1225C42—82no—
1226C42—82no—
1227C42—82no—
1228C42—82no—
1229C42—82no—
1230C42—82no—
1231C42—82no—
1232C42—82no—
1233C42—82no—
1234C42—82no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—22no—
1288C23—22no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23C22×C4214yes—
1338C23C22×C4214yes—
1339C23C22×C4214yes—
1340C23C24×C411yescharacteristic
1341C23C24×C411yescharacteristic
1342C23C24×C411yescharacteristic
1343C23C22×#4111yescharacteristic
1344C23C22×#4111yescharacteristic
1345C23C22×#4111yescharacteristic
1346C23C22×#4111yescharacteristic
1347C23C2×H(5,𝔽2)11yescharacteristic
1348C23C2×H(5,𝔽2)11yescharacteristic
1349C23C2×H(5,𝔽2)11yescharacteristic
1350C23C2×H(5,𝔽2)11yescharacteristic
1351C23#58511yescharacteristic
1352C23#58511yescharacteristic
1353C23#58511yescharacteristic
1354C23#58511yescharacteristic
1355D4—416no—
1356D4—416no—
1357D4—416no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—416no—
1479C2×C4—416no—
1480C2×C4—416no—
1481C2×C4—416no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—88no—
1547C2×C4—88no—
1548C2×C4—88no—
1549C2×C4—88no—
1550C2×C4—88no—
1551C2×C4C22×C4214yes—
1552C2×C4C22×C4214yes—
1553C2×C4C22×C4214yes—
1554C2×C4C22×C4214yes—
1555C2×C4C4×#4114yes—
1556C2×C4C4×#4114yes—
1557C2×C4C4×#4114yes—
1558C2×C4C4×#4114yes—
1559C2×C4C4×#4114yes—
1560C2×C4C4×#4114yes—
1561C2×C4#51814yes—
1562C2×C4#51814yes—
1563C22—24no—
1564C22—24no—
1565C22—24no—
1566C22—24no—
1567C22—24no—
1568C22—24no—
1569C22—24no—
1570C22—24no—
1571C22—24no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22C23×C4211yescharacteristic
1609C22C2×C4×#4111yescharacteristic
1610C22C2×C4×#4111yescharacteristic
1611C22C2×C4×#4111yescharacteristic
1612C22C2×C4×#4111yescharacteristic
1613C22C2×C4×#4111yescharacteristic
1614C22C2×C4×#4111yescharacteristic
1615C22C2×#51811yescharacteristic
1616C22C2×#51811yescharacteristic
1617C22#342811yescharacteristic
1618C22#342811yescharacteristic
1619C22C4×H(5,𝔽2)11yescharacteristic
1620C22C4×H(5,𝔽2)11yescharacteristic
1621C22C4×H(5,𝔽2)11yescharacteristic
1622C22C4×H(5,𝔽2)11yescharacteristic
1623C22C4×H(5,𝔽2)11yescharacteristic
1624C22C4×H(5,𝔽2)11yescharacteristic
1625C22C4×H(5,𝔽2)11yescharacteristic
1626C22C4×H(5,𝔽2)11yescharacteristic
1627C22#349011yescharacteristic
1628C22#349311yescharacteristic
1629C22#349411yescharacteristic
1630C22#349411yescharacteristic
1631C22#350511yescharacteristic
1632C22#350611yescharacteristic
1633C22#350811yescharacteristic
1634C22#351211yescharacteristic
1635C22#351311yescharacteristic
1636C22#351311yescharacteristic
1637C22#351411yescharacteristic
1638C22#351711yescharacteristic
1639C22#351911yescharacteristic
1640C22#351911yescharacteristic
1641C22#352111yescharacteristic
1642C22#352411yescharacteristic
1643C4—24no—
1644C4—24no—
1645C4—24no—
1646C4—24no—
1647C4—24no—
1648C4—24no—
1649C4—24no—
1650C4—24no—
1651C4—24no—
1652C4—24no—
1653C4—24no—
1654C4—24no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C2—44no—
1672C2—44no—
1673C2—44no—
1674C2C42×#4111yescharacteristic
1675C2C4×#51811yescharacteristic
1676C2C4×#51811yescharacteristic
1677C2#3427711yescharacteristic
1678C2#3428011yescharacteristic
1679C2#3428311yescharacteristic
1680C2#3428711yescharacteristic
1681C2#3430111yescharacteristic
1682C2#3430211yescharacteristic
1683C2#3430211yescharacteristic
1684C2#3430611yescharacteristic
1685C2#3431911yescharacteristic
1686C2#3432011yescharacteristic
1687C2#3432511yescharacteristic
1688C2#3433011yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC22C23×C42
prime radicalC22×#121C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
4. #13825C2semidirect
5. #13824C2semidirect
6. #13824C2semidirect
7. #13824C2semidirect
8. #13822C2semidirect
9. #13822C2semidirect
10. #13820C2semidirect
11. #13819C2semidirect
12. #13816C2semidirect
13. #13816C2semidirect
14. #13813C2semidirect
15. #13813C2semidirect
16. #13807C2semidirect
17. #13799C2semidirect
18. #13792C2semidirect
19. #13791C2semidirect
20. #13791C2semidirect
21. #13791C2semidirect
22. #13788C2semidirect
23. C4×#390C2semidirect
24. C4×#387C2semidirect
25. C4×#388C2semidirect
26. C4×#386C2semidirect
27. C4×#386C2semidirect
28. #13761C2semidirect
29. #13749C2semidirect
30. #13749C2semidirect
31. C42×C22⋊C4C2semidirect
38. #2364C4semidirect
39. #2363C4semidirect
40. #2333C4semidirect
211. C2×C4×D4C2×C4semidirect
212. C2×C4×D4C2×C4semidirect
213. C2×C4×D4C2×C4semidirect
216. C2×#117C2×C4semidirect
293. #390C2×C4semidirect
294. #390C2×C4semidirect
295. #390C2×C4semidirect
296. #390C2×C4semidirect
297. #390C2×C4semidirect
298. #389C2×C4semidirect
299. #388C2×C4semidirect
300. #388C2×C4semidirect
301. #388C2×C4semidirect
302. #388C2×C4semidirect
303. #388C2×C4semidirect
304. #388C2×C4semidirect
305. #387C2×C4semidirect
306. #387C2×C4semidirect
307. #387C2×C4semidirect
308. #387C2×C4semidirect
311. #386C2×C4semidirect
312. #386C2×C4semidirect
313. #386C2×C4semidirect
314. #386C2×C4semidirect
315. #386C2×C4semidirect
316. #386C2×C4semidirect
317. #386C2×C4semidirect
318. #386C2×C4semidirect
319. #381C2×C4semidirect
323. C4×C4⋊C4C2×C4semidirect
342. C4×C22⋊C4C2×C4semidirect
343. C4×C22⋊C4C2×C4semidirect
344. C4×C22⋊C4C2×C4semidirect
345. C4×C22⋊C4C2×C4semidirect
346. C4×C22⋊C4C2×C4semidirect
347. C4×C22⋊C4C2×C4semidirect
348. C4×C22⋊C4C2×C4semidirect
349. C4×C22⋊C4C2×C4semidirect
350. C4×C22⋊C4C2×C4semidirect
353. C2×#95C2×C4semidirect
541. #121C42semidirect
902. C2×D4C2×C42semidirect
1109. C22×C4C2×C42semidirect
1170. C4⋊C4C2×C42semidirect
1200. C22⋊C4C2×C42semidirect

Maximal subgroups

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

subgroupindex
C2×#23642
C2×#23632
C2×#23332
#138252
#138242
#138222
#138202
#138192
#138162
#138132
#138072
#137992
#137922
#137912
#137882
C4×#3902
C4×#3872
C4×#3882
C4×#3862
#137612
#137492
C42×C22⋊C42