Finite Group Databasebeta

← #539747

Subgroups — #539747

Order 512.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1629 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2342C211yesmaximal, characteristic
2#14479C211yesmaximal, characteristic, complemented
3#14456C211yesmaximal, characteristic, complemented
4#14452C211yesmaximal, characteristic, complemented
5#14433C211yesmaximal, characteristic, complemented
6#14392C211yesmaximal, characteristic, complemented
7#14389C211yesmaximal, characteristic, complemented
8#14381C211yesmaximal, characteristic, complemented
9#14366C211yesmaximal, characteristic
10#14118C211yesmaximal, characteristic, complemented
11#14112C211yesmaximal, characteristic, complemented
12#14104C211yesmaximal, characteristic, complemented
13#14103C211yesmaximal, characteristic, complemented
14#14070C211yesmaximal, characteristic, complemented
15#14063C211yesmaximal, characteristic, complemented
16#13973C211yesmaximal, characteristic, complemented
17#13971C211yesmaximal, characteristic
18#13944C211yesmaximal, characteristic, complemented
19#13919C211yesmaximal, characteristic, complemented
20#13892C211yesmaximal, characteristic, complemented
21#13891C211yesmaximal, characteristic, complemented
22#13887C211yesmaximal, characteristic, complemented
23#13877C211yesmaximal, characteristic
24#13873C211yesmaximal, characteristic
25#13868C211yesmaximal, characteristic
26#13852C211yesmaximal, characteristic, complemented
27#13822C211yesmaximal, characteristic, complemented
28#13801C211yesmaximal, characteristic, complemented
29C22⋊C42C211yesmaximal, characteristic
30#13788C211yesmaximal, characteristic, complemented
31#13788C211yesmaximal, characteristic, complemented
32C22×#117C2211yescharacteristic
33C22×#117C2211yescharacteristic
34C23×C22⋊C4C2211yescharacteristic
35C23×C22⋊C4C2211yescharacteristic
36C23×C22⋊C4C2211yescharacteristic
37#2342C4116yescomplemented
38C2×#389C2211yescharacteristic, complemented
39C2×#388C2211yescharacteristic
40C2×#388C2211yescharacteristic
41C2×#388C2211yescharacteristic
42C2×#388C2211yescharacteristic
43C2×#388C2211yescharacteristic
44C2×#388C2211yescharacteristic
45C2×#388C2211yescharacteristic
46C2×#388C2211yescharacteristic
47C2×#388C2211yescharacteristic
48C2×#388C2211yescharacteristic
49C2×#387C2211yescharacteristic, complemented
50C2×#387C2211yescharacteristic, complemented
51C2×#385C2211yescharacteristic
52C2×#385C2211yescharacteristic
53C2×#385C2211yescharacteristic
54C2×#385C2211yescharacteristic
55C2×#385C2211yescharacteristic
56C2×#383C2211yescharacteristic, complemented
57C2×#381C2211yescharacteristic
58C2×#381C2211yescharacteristic
59C2×#380C2211yescharacteristic
60C2×#380C2211yescharacteristic
61C2×#380C2211yescharacteristic
62C2×#380C2211yescharacteristic
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×C4⋊C4C2211yescharacteristic, complemented
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×C4×C22⋊C4C2211yescharacteristic
80#1445C2211yescharacteristic, complemented
81#1445C2211yescharacteristic, complemented
82#1444C2211yescharacteristic, complemented
83#1444C2211yescharacteristic, complemented
84#1443C2211yescharacteristic, complemented
85#1443C2211yescharacteristic, complemented
86#1442C2211yescharacteristic, 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#1441C2211yescharacteristic, complemented
97#1441C2211yescharacteristic, complemented
98#1440C2211yescharacteristic
99#1440C2211yescharacteristic
100#1440C2211yescharacteristic
101#1440C2211yescharacteristic
102#1440C2211yescharacteristic
103#1440C2211yescharacteristic
104#1439C2211yescharacteristic
105#1439C2211yescharacteristic
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#1436C2211yescharacteristic, complemented
137#1436C2211yescharacteristic, complemented
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
148C4⋊#95C2211yescharacteristic, complemented
149C4⋊#95C2211yescharacteristic, complemented
150C4⋊#95C2211yescharacteristic, complemented
151C4⋊#95C2211yescharacteristic, complemented
152C4⋊#95C2211yescharacteristic, complemented
153#1434C2211yescharacteristic, complemented
154#1434C2211yescharacteristic, complemented
155#1434C2211yescharacteristic, complemented
156#1434C2211yescharacteristic, 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
169C22⋊#95C2211yescharacteristic
170C22⋊#95C2211yescharacteristic
171C22⋊#95C2211yescharacteristic
172C22⋊#95C2211yescharacteristic
173C22⋊#95C2211yescharacteristic
174C22⋊#95C2211yescharacteristic
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C4×#95C2211yescharacteristic, complemented
184C4×#95C2211yescharacteristic, complemented
185C4×#95C2211yescharacteristic, complemented
186C4×#95C2211yescharacteristic, complemented
187C4×#95C2211yescharacteristic, complemented
188C26C2311yescharacteristic
189C24×C4C2311yescharacteristic
190C24×C4C2311yescharacteristic
191C24×C4C2311yescharacteristic
192C24×C4C2311yescharacteristic
193C24×C4C2311yescharacteristic
194C24×C4C2311yescharacteristic
195C2×#117—24no—
196C2×#117—42no—
197C2×#117—42no—
198C2×#117—42no—
199C2×#117—42no—
200C2×#117C2×C418yescomplemented
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×C4⋊C4C2311yescharacteristic
216C22×C4⋊C4C2311yescharacteristic
217C22×C22⋊C4—24no—
218C22×C22⋊C4—24no—
219C22×C22⋊C4—24no—
220C22×C22⋊C4—42no—
221C22×C22⋊C4—42no—
222C22×C22⋊C4—42no—
223C22×C22⋊C4—42no—
224C22×C22⋊C4C2×C418yes—
225C22×C22⋊C4C2×C418yes—
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×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
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
278#389—42no—
279#388—24no—
280#388—24no—
281#388—24no—
282#388—24no—
283#388—42no—
284#388—42no—
285#388C2×C418yes—
286#388C2×C418yes—
287#388C2×C418yes—
288#388C2×C418yes—
289#387—42no—
290#387—42no—
291#385—42no—
292#385—42no—
293#385—42no—
294#385C2×C418yescomplemented
295#385C2×C418yescomplemented
296#383—42no—
297#381—42no—
298#381C2×C418yescomplemented
299#380—24no—
300#380—42no—
301#380—42no—
302#380C2×C418yescomplemented
303#379—24no—
304#379—42no—
305#379—42no—
306#379C2×C418yes—
307C4×C4⋊C4—42no—
308C4×C4⋊C4—42no—
309C4×C4⋊C4—42no—
310C4×C4⋊C4—42no—
311C4×C22⋊C4—24no—
312C4×C22⋊C4—24no—
313C4×C22⋊C4—42no—
314C4×C22⋊C4—42no—
315C4×C22⋊C4—42no—
316C4×C22⋊C4—42no—
317C4×C22⋊C4C2×C418yescomplemented
318C4×C22⋊C4C2×C418yescomplemented
319C4×C22⋊C4C2×C418yescomplemented
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
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C25—22no—
401C25—22no—
402C25—22no—
403C25—22no—
404C25—22no—
405C25—22no—
406C25—41no—
407C25—41no—
408C25—41no—
409C25—41no—
410C25—41no—
411C25—41no—
412C25—41no—
413C25—41no—
414C25C22×C414yes—
415C25C2411yescharacteristic
416C25C2411yescharacteristic
417C25C2411yescharacteristic
418C23×C4—22no—
419C23×C4—22no—
420C23×C4—22no—
421C23×C4—22no—
422C23×C4—22no—
423C23×C4—22no—
424C23×C4—22no—
425C23×C4—22no—
426C23×C4—22no—
427C23×C4—22no—
428C23×C4—22no—
429C23×C4—22no—
430C23×C4—22no—
431C23×C4—22no—
432C23×C4—22no—
433C23×C4—41no—
434C23×C4—41no—
435C23×C4—41no—
436C23×C4—41no—
437C23×C4—41no—
438C23×C4—41no—
439C23×C4—41no—
440C23×C4—41no—
441C23×C4—41no—
442C23×C4—41no—
443C23×C4—41no—
444C23×C4—41no—
445C23×C4—41no—
446C23×C4—41no—
447C23×C4—41no—
448C23×C4—41no—
449C23×C4—41no—
450C23×C4—41no—
451C23×C4—41no—
452C23×C4—41no—
453C23×C4—41no—
454C23×C4—41no—
455C23×C4—41no—
456C23×C4C22×C414yes—
457C23×C4C22×C414yes—
458C23×C4C22×C414yes—
459C23×C4C22×C414yes—
460C23×C4C2411yescharacteristic
461C23×C4C2411yescharacteristic
462C23×C4C2411yescharacteristic
463C23×C4C2411yescharacteristic
464C23×C4C2411yescharacteristic
465C23×C4C2411yescharacteristic
466C23×C4C2411yescharacteristic
467C23×C4C2411yescharacteristic
468C23×C4C2411yescharacteristic
469C23×C4C2411yescharacteristic
470C23×C4C2411yescharacteristic
471C23×C4C2411yescharacteristic
472C23×C4C2411yescharacteristic
473C23×C4C2411yescharacteristic
474C23×C4C2411yescharacteristic
475C23×C4C2411yescharacteristic
476C23×C4C2411yescharacteristic
477C23×C4C2411yescharacteristic
478C23×C4C2411yescharacteristic
479C23×C4C2411yescharacteristic
480C23×C4C2411yescharacteristic
481C23×C4C2411yescharacteristic
482C23×C4C2411yescharacteristic
483C23×C4C2411yescharacteristic
484C23×C4C2411yescharacteristic
485C23×C4C2411yescharacteristic
486C23×C4C2411yescharacteristic
487C23×C4C2411yescharacteristic
488#117—416no—
489#117—416no—
490C2×C4⋊C4—22no—
491C2×C4⋊C4—22no—
492C2×C4⋊C4—22no—
493C2×C4⋊C4—22no—
494C2×C4⋊C4—22no—
495C2×C4⋊C4—22no—
496C2×C4⋊C4—22no—
497C2×C4⋊C4—22no—
498C2×C4⋊C4—22no—
499C2×C4⋊C4—22no—
500C2×C4⋊C4—22no—
501C2×C4⋊C4—22no—
502C2×C4⋊C4—22no—
503C2×C4⋊C4—22no—
504C2×C4⋊C4—22no—
505C2×C4⋊C4—22no—
506C2×C4⋊C4—22no—
507C2×C4⋊C4—22no—
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⋊C4—41no—
529C2×C4⋊C4—41no—
530C2×C4⋊C4—41no—
531C2×C4⋊C4—41no—
532C2×C4⋊C4—41no—
533C2×C4⋊C4—41no—
534C2×C4⋊C4C22×C414yes—
535C2×C4⋊C4C22×C414yes—
536C2×C4⋊C4C22×C414yes—
537C2×C4⋊C4C22×C414yes—
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—232no—
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—22no—
564C2×C22⋊C4—22no—
565C2×C22⋊C4—22no—
566C2×C22⋊C4—22no—
567C2×C22⋊C4—22no—
568C2×C22⋊C4—22no—
569C2×C22⋊C4—22no—
570C2×C22⋊C4—22no—
571C2×C22⋊C4—22no—
572C2×C22⋊C4—22no—
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—416no—
585C2×C22⋊C4—416no—
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—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⋊C4—41no—
630C2×C22⋊C4—41no—
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⋊C4#4114yes—
646C2×C22⋊C4#4114yes—
647C2×C22⋊C4#4114yes—
648C2×C22⋊C4#4114yes—
649C2×C42—22no—
650C2×C42—22no—
651C2×C42—22no—
652C2×C42—22no—
653C2×C42—22no—
654C2×C42—22no—
655C2×C42—22no—
656C2×C42—22no—
657C2×C42—22no—
658C2×C42—22no—
659C2×C42—22no—
660C2×C42—22no—
661C2×C42—22no—
662C2×C42—22no—
663C2×C42—22no—
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×C42—41no—
679C2×C42—41no—
680C2×C42—41no—
681C2×C42—41no—
682C2×C42—41no—
683C2×C42—41no—
684C2×C42—41no—
685C2×C42—41no—
686C2×C42—41no—
687C2×C42—41no—
688C2×C42—41no—
689C2×C42—41no—
690C2×C42—41no—
691C2×C42—41no—
692C2×C42—41no—
693C2×C42C22×C414yes—
694C2×C42C22×C414yes—
695C2×C42C22×C414yes—
696C2×C42C22×C414yes—
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—22no—
711#95—22no—
712#95—22no—
713#95—22no—
714#95—22no—
715#95—22no—
716#95—22no—
717#95—22no—
718#95—22no—
719#95—22no—
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#95—41no—
753#95—41no—
754#95—41no—
755#95—41no—
756#95—41no—
757#95—41no—
758#95—41no—
759#95—41no—
760#95—41no—
761#95—41no—
762#95—41no—
763#95—41no—
764#95—41no—
765#95—41no—
766#95—41no—
767#95—41no—
768#95—41no—
769#95C22×C414yes—
770#95C22×C414yes—
771#95C22×C414yes—
772#95C22×C414yes—
773#95C22×C414yes—
774#95C22×C414yes—
775#95C22×C414yes—
776#95C22×C414yes—
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—21no—
799C24—21no—
800C24—21no—
801C24—21no—
802C24—21no—
803C24—21no—
804C24—21no—
805C24—21no—
806C24—21no—
807C24—21no—
808C24—21no—
809C24—21no—
810C24—21no—
811C24—21no—
812C24—21no—
813C24—28no—
814C24—28no—
815C24—28no—
816C24—44no—
817C24—44no—
818C24—44no—
819C24—44no—
820C24—44no—
821C24—44no—
822C24—44no—
823C24—44no—
824C24—44no—
825C24—44no—
826C24—44no—
827C24—44no—
828C24—44no—
829C24—44no—
830C24—44no—
831C24—44no—
832C24—82no—
833C24—82no—
834C24—82no—
835C24—82no—
836C24—82no—
837C24—82no—
838C24—82no—
839C24—82no—
840C24—82no—
841C24—82no—
842C24—82no—
843C24—82no—
844C24—82no—
845C24—82no—
846C24—82no—
847C24—82no—
848C24C23×C412yes—
849C24C23×C412yes—
850C24C23×C412yes—
851C24C2×#4112yes—
852C24C2×#4112yes—
853C24C2×#4112yes—
854C24C2×#4112yes—
855C24H(5,𝔽2)12yes—
856C242−1+412yes—
857C24C2511yescharacteristic
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—28no—
871C22×C4—28no—
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—28no—
963C22×C4—28no—
964C22×C4—28no—
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—44no—
1036C22×C4—44no—
1037C22×C4—44no—
1038C22×C4—44no—
1039C22×C4—44no—
1040C22×C4—44no—
1041C22×C4—44no—
1042C22×C4—44no—
1043C22×C4—44no—
1044C22×C4—44no—
1045C22×C4—44no—
1046C22×C4—44no—
1047C22×C4—44no—
1048C22×C4—44no—
1049C22×C4—44no—
1050C22×C4—44no—
1051C22×C4—44no—
1052C22×C4—44no—
1053C22×C4—44no—
1054C22×C4—44no—
1055C22×C4—82no—
1056C22×C4—82no—
1057C22×C4—82no—
1058C22×C4—82no—
1059C22×C4—82no—
1060C22×C4—82no—
1061C22×C4—82no—
1062C22×C4—82no—
1063C22×C4—82no—
1064C22×C4—82no—
1065C22×C4—82no—
1066C22×C4—82no—
1067C22×C4—82no—
1068C22×C4—82no—
1069C22×C4—82no—
1070C22×C4—82no—
1071C22×C4—82no—
1072C22×C4C23×C412yes—
1073C22×C4C23×C412yes—
1074C22×C4C23×C412yes—
1075C22×C4C23×C412yes—
1076C22×C4C23×C412yes—
1077C22×C4C23×C412yes—
1078C22×C4C23×C412yes—
1079C22×C4C23×C412yes—
1080C22×C4C23×C412yes—
1081C22×C4C23×C412yes—
1082C22×C4C23×C412yes—
1083C22×C4C23×C412yes—
1084C22×C4C2×#4112yes—
1085C22×C4C2×#4112yes—
1086C22×C4C2×#4112yes—
1087C22×C4C2×#4112yes—
1088C22×C4C2×#4112yes—
1089C22×C4C2×#4112yes—
1090C22×C4C2×#4112yes—
1091C22×C4C2×#4112yes—
1092C22×C4H(5,𝔽2)12yes—
1093C22×C4H(5,𝔽2)12yes—
1094C22×C4H(5,𝔽2)12yes—
1095C22×C4H(5,𝔽2)12yes—
1096C4⋊C4—28no—
1097C4⋊C4—28no—
1098C4⋊C4—44no—
1099C4⋊C4—44no—
1100C4⋊C4—44no—
1101C4⋊C4—44no—
1102C4⋊C4—44no—
1103C4⋊C4—44no—
1104C4⋊C4—44no—
1105C4⋊C4—44no—
1106C4⋊C4—44no—
1107C4⋊C4—82no—
1108C4⋊C4—82no—
1109C4⋊C4—82no—
1110C4⋊C4—82no—
1111C4⋊C4—82no—
1112C22⋊C4—28no—
1113C22⋊C4—28no—
1114C22⋊C4—28no—
1115C22⋊C4—28no—
1116C22⋊C4—28no—
1117C22⋊C4—28no—
1118C22⋊C4—28no—
1119C22⋊C4—28no—
1120C22⋊C4—44no—
1121C22⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
1125C22⋊C4—44no—
1126C22⋊C4—44no—
1127C22⋊C4—44no—
1128C22⋊C4—44no—
1129C22⋊C4—44no—
1130C22⋊C4—44no—
1131C22⋊C4—44no—
1132C22⋊C4—44no—
1133C22⋊C4—44no—
1134C22⋊C4—44no—
1135C22⋊C4—44no—
1136C22⋊C4—44no—
1137C22⋊C4—44no—
1138C22⋊C4—82no—
1139C22⋊C4—82no—
1140C22⋊C4—82no—
1141C22⋊C4—82no—
1142C22⋊C4—82no—
1143C22⋊C4—82no—
1144C22⋊C4—82no—
1145C22⋊C4—82no—
1146C22⋊C4—82no—
1147C22⋊C4#117116yescomplemented
1148C42—28no—
1149C42—44no—
1150C42—44no—
1151C42—44no—
1152C42—44no—
1153C42—44no—
1154C42—44no—
1155C42—82no—
1156C42—82no—
1157C42—82no—
1158C42—82no—
1159C42—82no—
1160C42—82no—
1161C42—82no—
1162C42—82no—
1163C42—82no—
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—22no—
1179C23—22no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—416no—
1219C23—416no—
1220C23—416no—
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—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—88no—
1270C23—88no—
1271C23—88no—
1272C23—88no—
1273C23—88no—
1274C23—88no—
1275C23—88no—
1276C23—88no—
1277C23—88no—
1278C23—88no—
1279C23—88no—
1280C23—88no—
1281C23C2×#11714yes—
1282C23C4×#4114yes—
1283C23#52014yes—
1284C23C24×C411yescharacteristic
1285C23C22×#4111yescharacteristic
1286C23C22×#4111yescharacteristic
1287C23C22×#4111yescharacteristic
1288C23C22×#4111yescharacteristic
1289C23C2×H(5,𝔽2)11yescharacteristic
1290C23C2×H(5,𝔽2)11yescharacteristic
1291C23C2×H(5,𝔽2)11yescharacteristic
1292C23C2×H(5,𝔽2)11yescharacteristic
1293C23C2×H(5,𝔽2)11yescharacteristic
1294C23C2×2−1+411yescharacteristic
1295C23#58511yescharacteristic
1296C23#58511yescharacteristic
1297C23#58511yescharacteristic
1298C23#58511yescharacteristic
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—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—416no—
1363C2×C4—416no—
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—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
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—88no—
1495C2×C4—88no—
1496C2×C4—88no—
1497C2×C4—88no—
1498C2×C4C2×#11714yes—
1499C2×C4C2×#11714yes—
1500C2×C4#51814yes—
1501C22—24no—
1502C22—24no—
1503C22—24no—
1504C22—24no—
1505C22—24no—
1506C22—24no—
1507C22—24no—
1508C22—24no—
1509C22—24no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—832no—
1547C22C22×#11711yescharacteristic
1548C22C2×C4×#4111yescharacteristic
1549C22C2×#51811yescharacteristic
1550C22C2×#52011yescharacteristic
1551C22#342811yescharacteristic
1552C22C4×H(5,𝔽2)11yescharacteristic
1553C22C4×H(5,𝔽2)11yescharacteristic
1554C22#347511yescharacteristic
1555C22#347511yescharacteristic
1556C22#347511yescharacteristic
1557C22#347511yescharacteristic
1558C22#349011yescharacteristic
1559C22#349011yescharacteristic
1560C22#349411yescharacteristic
1561C22#349511yescharacteristic
1562C22#351311yescharacteristic
1563C22#351311yescharacteristic
1564C22#351311yescharacteristic
1565C22#351411yescharacteristic
1566C22#351911yescharacteristic
1567C22#351911yescharacteristic
1568C22#351911yescharacteristic
1569C22#351911yescharacteristic
1570C22#352011yescharacteristic
1571C22#352011yescharacteristic
1572C22#352011yescharacteristic
1573C22#352111yescharacteristic
1574C22#353311yescharacteristic
1575C22#353411yescharacteristic
1576C22#354011yescharacteristic
1577C22#354211yescharacteristic
1578C22#354611yescharacteristic
1579C22#356111yescharacteristic
1580C22#356211yescharacteristic
1581C22#356411yescharacteristic
1582C4—24no—
1583C4—24no—
1584C4—24no—
1585C4—42no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—81no—
1601C4—81no—
1602C4—81no—
1603C4—81no—
1604C4—81no—
1605C4—81no—
1606C4—81no—
1607C4—81no—
1608C4—81no—
1609C4—81no—
1610C2—44no—
1611C2—44no—
1612C2—44no—
1613C2#3410911yescharacteristic
1614C2#3419411yescharacteristic
1615C2#3426111yescharacteristic
1616C2#3429611yescharacteristic
1617C2#3430211yescharacteristic
1618C2#3445811yescharacteristic
1619C2#3447811yescharacteristic
1620C2#4327911yescharacteristic
1621C2#4328311yescharacteristic
1622C2#4335211yescharacteristic
1623C2#4335611yescharacteristic
1624C2#4405511yescharacteristic
1625C2#4405911yescharacteristic
1626C2#4413111yescharacteristic
1627C2#4413511yescharacteristic
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. #14479C2semidirect
3. #14456C2semidirect
4. #14452C2semidirect
5. #14433C2semidirect
6. #14392C2semidirect
7. #14389C2semidirect
8. #14381C2semidirect
10. #14118C2semidirect
11. #14112C2semidirect
12. #14104C2semidirect
13. #14103C2semidirect
14. #14070C2semidirect
15. #14063C2semidirect
16. #13973C2semidirect
18. #13944C2semidirect
19. #13919C2semidirect
20. #13892C2semidirect
21. #13891C2semidirect
22. #13887C2semidirect
26. #13852C2semidirect
27. #13822C2semidirect
28. #13801C2semidirect
30. #13788C2semidirect
31. #13788C2semidirect
37. #2342C4semidirect
38. C2×#389C22semidirect
49. C2×#387C22semidirect
50. C2×#387C22semidirect
56. C2×#383C22semidirect
67. C2×C4×C4⋊C4C22semidirect
68. C2×C4×C4⋊C4C22semidirect
69. C2×C4×C4⋊C4C22semidirect
70. C2×C4×C4⋊C4C22semidirect
80. #1445C22semidirect
81. #1445C22semidirect
82. #1444C22semidirect
83. #1444C22semidirect
84. #1443C22semidirect
85. #1443C22semidirect
86. #1442C22semidirect
87. #1442C22semidirect
88. #1442C22semidirect
89. #1442C22semidirect
90. #1442C22semidirect
91. #1442C22semidirect
92. #1441C22semidirect
93. #1441C22semidirect
94. #1441C22semidirect
95. #1441C22semidirect
96. #1441C22semidirect
97. #1441C22semidirect
136. #1436C22semidirect
137. #1436C22semidirect
138. #1436C22semidirect
139. #1436C22semidirect
140. #1436C22semidirect
141. #1436C22semidirect
142. #1436C22semidirect
143. #1436C22semidirect
144. #1436C22semidirect
145. #1436C22semidirect
146. #1436C22semidirect
147. #1436C22semidirect
148. C4⋊#95C22semidirect
149. C4⋊#95C22semidirect
150. C4⋊#95C22semidirect
151. C4⋊#95C22semidirect
152. C4⋊#95C22semidirect
153. #1434C22semidirect
154. #1434C22semidirect
155. #1434C22semidirect
156. #1434C22semidirect
157. #1434C22semidirect
158. #1434C22semidirect
159. #1434C22semidirect
160. #1434C22semidirect
161. #1434C22semidirect
162. #1434C22semidirect
163. #1434C22semidirect
164. #1434C22semidirect
165. #1434C22semidirect
166. #1434C22semidirect
167. #1434C22semidirect
168. #1434C22semidirect
183. C4×#95C22semidirect
184. C4×#95C22semidirect
185. C4×#95C22semidirect
186. C4×#95C22semidirect
187. C4×#95C22semidirect
200. C2×#117C2×C4semidirect
294. #385C2×C4semidirect
295. #385C2×C4semidirect
298. #381C2×C4semidirect
302. #380C2×C4semidirect
317. C4×C22⋊C4C2×C4semidirect
318. C4×C22⋊C4C2×C4semidirect
319. C4×C22⋊C4C2×C4semidirect
1147. C22⋊C4#117semidirect

Maximal subgroups

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

subgroupindex
C2×#23422
#144792
#144562
#144522
#144332
#143922
#143892
#143812
#143662
#141182
#141122
#141042
#141032
#140702
#140632
#139732
#139712
#139442
#139192
#138922
#138912
#138872
#138772
#138732
#138682
#138522
#138222
#138012
C22⋊C422
#137882