Finite Group Databasebeta

← #12267069

Subgroups — #12267069

Order 1280.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C5×D4C211yesmaximal, characteristic, complemented
2C2×#65872C211yesmaximal, characteristic, complemented
3#10615779C211yesmaximal, characteristic
4#10615778C211yesmaximal, characteristic, complemented
5C4×#4099C211yesmaximal, characteristic, complemented
6C4×#4099C211yesmaximal, characteristic, complemented
7#10615758C211yesmaximal, characteristic, complemented
8C2×C4×C22⋊Dic5C211yesmaximal, characteristic, complemented
9#10614132C211yesmaximal, characteristic, complemented
10#10614101C211yesmaximal, characteristic, complemented
11#10614100C211yesmaximal, characteristic, complemented
12#10614097C211yesmaximal, characteristic, complemented
13#10614096C211yesmaximal, characteristic, complemented
14#10614092C211yesmaximal, characteristic, complemented
15#10614088C211yesmaximal, characteristic, complemented
16#10614086C211yesmaximal, characteristic, complemented
17#10614085C211yesmaximal, characteristic, complemented
18#10614079C211yesmaximal, characteristic, complemented
19#10614077C211yesmaximal, characteristic, complemented
20#10614076C211yesmaximal, characteristic, complemented
21C4×#4081C211yesmaximal, characteristic, complemented
22C4×#4085C211yesmaximal, characteristic, complemented
23#10614049C211yesmaximal, characteristic, complemented
24#10613906C211yesmaximal, characteristic, complemented
25#10613905C211yesmaximal, characteristic, complemented
26#10613843C211yesmaximal, characteristic, complemented
27#10613842C211yesmaximal, characteristic, complemented
28#10613841C211yesmaximal, characteristic, complemented
29#10613839C211yesmaximal, characteristic, complemented
30C4×#4070C211yesmaximal, characteristic, complemented
31#10613796C211yesmaximal, characteristic, complemented
32C23×C5×D4C2211yescharacteristic
33C24×C4×C5C2211yescharacteristic
34C24×C4×C5C2211yescharacteristic
35C2×C4×C5×D4—28no—
36C2×C4×C5×D4C2211yescharacteristic
37C2×C4×C5×D4C2211yescharacteristic
38C2×C4×C5×D4C2211yescharacteristic
39C2×C4×C5×D4C2211yescharacteristic
40C2×C4×C5×D4C2211yescharacteristic
41C2×C4×C5×D4C2211yescharacteristic
42C2×C4×C5×D4C2211yescharacteristic
43C2×C4×C5×D4C2211yescharacteristic
44C22×C5×C4⋊C4C2211yescharacteristic
45C22×C5×C22⋊C4C2211yescharacteristic
46C22×C5×C22⋊C4C2211yescharacteristic
47C22×C42×C5C2211yescharacteristic
48C2×#4099C2211yescharacteristic
49C2×#4099C2211yescharacteristic
50C22×C22⋊Dic5C2211yescharacteristic
51C22×C22⋊Dic5C2211yescharacteristic
52C2×#4085C2211yescharacteristic
53C2×#4085C2211yescharacteristic
54C2×#4081C2211yescharacteristic
55C2×#4081C2211yescharacteristic
56C2×C4×C22⋊D5C2211yescharacteristic
57C2×C4×C22⋊D5C2211yescharacteristic, complemented
58C2×C4×C22⋊D5C2211yescharacteristic, complemented
59C2×C4×C22⋊D5C2211yescharacteristic, complemented
60C2×C4×C22⋊D5C2211yescharacteristic, complemented
61C2×#4072C2211yescharacteristic, complemented
62C2×#4072C2211yescharacteristic, complemented
63C2×#4070C2211yescharacteristic
64C22×C4×Dic5C2211yescharacteristic, complemented
65C22×C4×Dic5C2211yescharacteristic, complemented
66#65872—28no—
67C2×#4044C2211yescharacteristic, complemented
68C2×#4035C2211yescharacteristic, complemented
69C2×#4032C2211yescharacteristic, complemented
70C2×#4031C2211yescharacteristic, complemented
71C2×#4025C2211yescharacteristic, complemented
72C2×#4024C2211yescharacteristic, complemented
73C2×#4018C2211yescharacteristic, complemented
74C2×C4×Dic10C2211yescharacteristic, complemented
75#65536C2211yescharacteristic
76#65536C2211yescharacteristic
77#65536C2211yescharacteristic
78#65536C2211yescharacteristic
79#65512C2211yescharacteristic
80#65512C2211yescharacteristic
81#65511C2211yescharacteristic
82#65511C2211yescharacteristic
83#65511C2211yescharacteristic
84#65511C2211yescharacteristic
85#65511C2211yescharacteristic
86#65511C2211yescharacteristic
87#65509C2211yescharacteristic
88#65509C2211yescharacteristic
89#65509C2211yescharacteristic
90#65509C2211yescharacteristic
91#65502C2211yescharacteristic
92#65502C2211yescharacteristic
93#65502C2211yescharacteristic
94#65502C2211yescharacteristic
95#65502C2211yescharacteristic, complemented
96#65502C2211yescharacteristic, complemented
97#65502C2211yescharacteristic, complemented
98#65502C2211yescharacteristic, complemented
99#65501C2211yescharacteristic
100#65501C2211yescharacteristic
101#65501C2211yescharacteristic
102#65501C2211yescharacteristic, complemented
103#65501C2211yescharacteristic, complemented
104#65500C2211yescharacteristic, complemented
105#65500C2211yescharacteristic, complemented
106#65499C2211yescharacteristic
107#65499C2211yescharacteristic
108#65499C2211yescharacteristic
109#65499C2211yescharacteristic
110#65499C2211yescharacteristic
111#65499C2211yescharacteristic
112#65499C2211yescharacteristic, complemented
113#65499C2211yescharacteristic, complemented
114#65499C2211yescharacteristic, complemented
115#65499C2211yescharacteristic, complemented
116C4×C22⋊Dic5C2211yescharacteristic
117C4×C22⋊Dic5C2211yescharacteristic
118C4×C22⋊Dic5C2211yescharacteristic
119C4×C22⋊Dic5C2211yescharacteristic
120C4×C22⋊Dic5C2211yescharacteristic
121C4×C22⋊Dic5C2211yescharacteristic, complemented
122C4×C22⋊Dic5C2211yescharacteristic, complemented
123C4×C22⋊Dic5C2211yescharacteristic, complemented
124C4×C22⋊Dic5C2211yescharacteristic, complemented
125C4×C22⋊Dic5C2211yescharacteristic, complemented
126C4×C22⋊Dic5C2211yescharacteristic, complemented
127C4×C22⋊Dic5C2211yescharacteristic, complemented
128C4×C22⋊Dic5C2211yescharacteristic, complemented
129C4×C22⋊Dic5C2211yescharacteristic, complemented
130C4×C22⋊Dic5C2211yescharacteristic, complemented
131C2×#3963C2211yescharacteristic, complemented
132C2×#3963C2211yescharacteristic, complemented
133#65283C2211yescharacteristic, complemented
134#65282C2211yescharacteristic, complemented
135#65279C2211yescharacteristic, complemented
136#65275C2211yescharacteristic, complemented
137#65273C2211yescharacteristic, complemented
138#65272C2211yescharacteristic, complemented
139#65271C2211yescharacteristic, complemented
140#65271C2211yescharacteristic, complemented
141#65270C2211yescharacteristic, complemented
142#65270C2211yescharacteristic, complemented
143#65269C2211yescharacteristic, complemented
144#65267C2211yescharacteristic, complemented
145#65267C2211yescharacteristic, complemented
146#65261C2211yescharacteristic, complemented
147#65250C2211yescharacteristic, complemented
148#65250C2211yescharacteristic, complemented
149#65250C2211yescharacteristic, complemented
150#65248C2211yescharacteristic, complemented
151#65247C2211yescharacteristic, complemented
152#65246C2211yescharacteristic, complemented
153#65242C2211yescharacteristic, complemented
154#65242C2211yescharacteristic, complemented
155#65242C2211yescharacteristic, complemented
156#65241C2211yescharacteristic, complemented
157#65241C2211yescharacteristic, complemented
158#65241C2211yescharacteristic, complemented
159#65240C2211yescharacteristic, complemented
160#65240C2211yescharacteristic, complemented
161#65239C2211yescharacteristic, complemented
162#65239C2211yescharacteristic, complemented
163#65238C2211yescharacteristic, complemented
164#65237C2211yescharacteristic, complemented
165#65237C2211yescharacteristic, complemented
166#65237C2211yescharacteristic, complemented
167#65236C2211yescharacteristic, complemented
168#65236C2211yescharacteristic, complemented
169#65235C2211yescharacteristic, complemented
170#65234C2211yescharacteristic, complemented
171#65233C2211yescharacteristic, complemented
172#65233C2211yescharacteristic, complemented
173#65232C2211yescharacteristic, complemented
174#65231C2211yescharacteristic, complemented
175#65229C2211yescharacteristic, complemented
176#65229C2211yescharacteristic, complemented
177C4×#685C2211yescharacteristic, complemented
178C4×C4⋊Dic5C2211yescharacteristic, complemented
179#65222C2211yescharacteristic, complemented
180#65222C2211yescharacteristic, complemented
181#65222C2211yescharacteristic, complemented
182#65222C2211yescharacteristic, complemented
183#65221C2211yescharacteristic, complemented
184C4×#683C2211yescharacteristic, complemented
185C4×#683C2211yescharacteristic, complemented
186C4×#683C2211yescharacteristic, complemented
187#65218C2211yescharacteristic, complemented
188#65217C2211yescharacteristic, complemented
189#34670—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C25×C5C2311yescharacteristic
192C22×C5×D4—24no—
193C22×C5×D4—24no—
194C22×C5×D4—24no—
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C23×C4×C5—24no—
200C23×C4×C5—24no—
201C23×C4×C5—24no—
202C23×C4×C5—24no—
203C23×C4×C5—42no—
204C23×C4×C5—42no—
205C23×C4×C5C2311yescharacteristic
206C23×C4×C5C2311yescharacteristic
207C23×C4×C5C2311yescharacteristic
208C23×C4×C5C2311yescharacteristic
209C23×C4×C5C2311yescharacteristic
210C23×C4×C5C2311yescharacteristic
211C23×C4×C5C2311yescharacteristic
212C23×C4×C5C2311yescharacteristic
213C23×C4×C5C2311yescharacteristic
214C23×C4×C5C2311yescharacteristic
215C23×C4×C5C2311yescharacteristic
216C23×C4×C5C2311yescharacteristic
217C23×C4×C5C2311yescharacteristic
218C22×C22⋊D5C2311yescharacteristic
219C22×C22⋊D5C2311yescharacteristic
220C22×C22⋊D5C2311yescharacteristic
221C22×C22⋊D5C2311yescharacteristic
222C22×C22⋊D5C2311yescharacteristic
223C23×Dic5C2311yescharacteristic
224C23×Dic5C2311yescharacteristic
225C23×Dic5C2311yescharacteristic
226C23×Dic5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×Dic10C2311yescharacteristic
229C4×C5×D4—24no—
230C4×C5×D4—24no—
231C4×C5×D4—24no—
232C4×C5×D4—24no—
233C4×C5×D4—24no—
234C4×C5×D4—24no—
235C4×C5×D4—24no—
236C4×C5×D4D418yescomplemented
237C2×C5×C4⋊C4—24no—
238C2×C5×C4⋊C4C2311yescharacteristic
239C2×C5×C4⋊C4C2311yescharacteristic
240C2×C5×C4⋊C4C2311yescharacteristic
241C2×C5×C4⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4—24no—
243C2×C5×C22⋊C4—24no—
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C5×C22⋊C4C2311yescharacteristic
252C2×C42×C5—24no—
253C2×C42×C5C2311yescharacteristic
254C2×C42×C5C2311yescharacteristic
255C2×C42×C5C2311yescharacteristic
256C2×C42×C5C2311yescharacteristic
257#4099—24no—
258#4099—24no—
259C2×C22⋊Dic5—24no—
260C2×C22⋊Dic5—24no—
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269C2×C22⋊Dic5C2311yescharacteristic
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273C2×C22⋊Dic5C2311yescharacteristic
274C2×C22⋊Dic5C2311yescharacteristic
275C2×C22⋊Dic5C2311yescharacteristic
276C2×C22⋊Dic5C2311yescharacteristic
277C2×C22⋊Dic5C2311yescharacteristic
278C2×C22⋊Dic5C2311yescharacteristic
279C2×C22⋊Dic5C2311yescharacteristic
280C2×C22⋊Dic5C2311yescharacteristic
281C2×C22⋊Dic5C2311yescharacteristic
282C2×C22⋊Dic5C2311yescharacteristic
283C2×C22⋊Dic5C2311yescharacteristic
284C2×C22⋊Dic5C2311yescharacteristic
285C2×C22⋊Dic5C2311yescharacteristic
286C2×C22⋊Dic5C2311yescharacteristic
287C2×C22⋊Dic5C2311yescharacteristic
288C2×C22⋊Dic5C2311yescharacteristic
289C2×C22⋊Dic5C2311yescharacteristic
290C2×C22⋊Dic5C2311yescharacteristic
291C2×C22⋊Dic5C2311yescharacteristic
292#4085—24no—
293#4085—24no—
294#4081—24no—
295#4081—24no—
296C4×C22⋊D5—24no—
297C4×C22⋊D5—24no—
298C4×C22⋊D5—24no—
299C4×C22⋊D5—42no—
300C4×C22⋊D5—42no—
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×#685C2311yescharacteristic
304C2×#685C2311yescharacteristic
305C2×#685C2311yescharacteristic
306C2×#685C2311yescharacteristic
307C2×#685C2311yescharacteristic
308C2×#685C2311yescharacteristic
309C2×#685C2311yescharacteristic
310#4072—24no—
311#4072—42no—
312C2×C4⋊Dic5C2311yescharacteristic
313C2×C4⋊Dic5C2311yescharacteristic
314C2×C4⋊Dic5C2311yescharacteristic
315C2×C4⋊Dic5C2311yescharacteristic
316C2×C4⋊Dic5C2311yescharacteristic
317C2×C4⋊Dic5C2311yescharacteristic
318C2×C4⋊Dic5C2311yescharacteristic
319#4070—24no—
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2311yescharacteristic
325C2×#683C2311yescharacteristic
326C2×#683C2311yescharacteristic
327C2×#683C2311yescharacteristic
328C2×#683C2311yescharacteristic
329C2×#683C2311yescharacteristic
330C2×#683C2311yescharacteristic
331C2×#683C2311yescharacteristic
332C2×#683C2311yescharacteristic
333C2×#683C2311yescharacteristic
334C2×#683C2311yescharacteristic
335C2×C4×Dic5—24no—
336C2×C4×Dic5—42no—
337C2×C4×Dic5C2311yescharacteristic
338C2×C4×Dic5C2311yescharacteristic
339C2×C4×Dic5C2311yescharacteristic
340C2×C4×Dic5C2311yescharacteristic
341C2×C4×Dic5C2311yescharacteristic
342C2×C4×Dic5C2311yescharacteristic
343C2×C4×Dic5C2311yescharacteristic
344C2×C4×Dic5C2311yescharacteristic
345C2×C4×Dic5C2311yescharacteristic
346C2×C4×Dic5C2311yescharacteristic
347C2×C4×Dic5C2311yescharacteristic
348#4044—24no—
349#4035—24no—
350#4032—24no—
351#4031—24no—
352#4025—24no—
353#4024—24no—
354#4018—24no—
355C4×Dic10—24no—
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#529—51no—
393C22×C4×D4D511yescharacteristic, complemented
394#2481—51no—
395#2480—51no—
396#2473—51no—
397#2472—51no—
398#2467—51no—
399#2466—51no—
400#2460—51no—
401#2459—51no—
402#2450—51no—
403#2444—51no—
404#2437—51no—
405#2425—51no—
406#2419—51no—
407#2412—51no—
408#2410—51no—
409#2405—51no—
410#2398—51no—
411#2395—51no—
412#2392—51no—
413#2392—51no—
414C4×C22⋊Q8—51no—
415C4×#123—51no—
416C4×#121—51no—
417C4×#120—51no—
418C4×#120—51no—
419#2290—51no—
420#2290—51no—
421#2280—51no—
422C2×C4×C22⋊C4—51no—
423C24×C5—22no—
424C24×C5—22no—
425C24×C5—22no—
426C24×C5—22no—
427C24×C5—22no—
428C24×C5—22no—
429C24×C5—22no—
430C24×C5—22no—
431C24×C5—22no—
432C24×C5—41no—
433C24×C5—41no—
434C24×C5—41no—
435C24×C5—41no—
436C24×C5#4114yes—
437C24×C5C2411yescharacteristic
438C24×C5C2411yescharacteristic
439C24×C5C2411yescharacteristic
440C24×C5C2411yescharacteristic
441C24×C5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C2×C5×D4—232no—
444C2×C5×D4—22no—
445C2×C5×D4—22no—
446C2×C5×D4—22no—
447C2×C5×D4—22no—
448C2×C5×D4—22no—
449C2×C5×D4—22no—
450C2×C5×D4—22no—
451C2×C5×D4—22no—
452C2×C5×D4—22no—
453C2×C5×D4—22no—
454C2×C5×D4C2×D414yes—
455C2×C5×D4#4114yes—
456C22×C4×C5—22no—
457C22×C4×C5—22no—
458C22×C4×C5—22no—
459C22×C4×C5—22no—
460C22×C4×C5—22no—
461C22×C4×C5—22no—
462C22×C4×C5—22no—
463C22×C4×C5—22no—
464C22×C4×C5—22no—
465C22×C4×C5—22no—
466C22×C4×C5—22no—
467C22×C4×C5—22no—
468C22×C4×C5—22no—
469C22×C4×C5—22no—
470C22×C4×C5—22no—
471C22×C4×C5—22no—
472C22×C4×C5—22no—
473C22×C4×C5—22no—
474C22×C4×C5—22no—
475C22×C4×C5—22no—
476C22×C4×C5—22no—
477C22×C4×C5—22no—
478C22×C4×C5—22no—
479C22×C4×C5—22no—
480C22×C4×C5—22no—
481C22×C4×C5—22no—
482C22×C4×C5—22no—
483C22×C4×C5—22no—
484C22×C4×C5—22no—
485C22×C4×C5—41no—
486C22×C4×C5—41no—
487C22×C4×C5—41no—
488C22×C4×C5—41no—
489C22×C4×C5—41no—
490C22×C4×C5—41no—
491C22×C4×C5—41no—
492C22×C4×C5—416no—
493C22×C4×C5—416no—
494C22×C4×C5C2×D414yes—
495C22×C4×C5C2×D414yes—
496C22×C4×C5#4114yes—
497C22×C4×C5C2411yescharacteristic
498C22×C4×C5C2411yescharacteristic
499C22×C4×C5C2411yescharacteristic
500C22×C4×C5C2411yescharacteristic
501C22×C4×C5C2411yescharacteristic
502C22×C4×C5C2411yescharacteristic
503C22×C4×C5C2411yescharacteristic
504C22×C4×C5C2411yescharacteristic
505C22×C4×C5C2411yescharacteristic
506C22×C4×C5C2411yescharacteristic
507C2×C22⋊D5—22no—
508C2×C22⋊D5—22no—
509C2×C22⋊D5—22no—
510C2×C22⋊D5—22no—
511C2×C22⋊D5—22no—
512C2×C22⋊D5—22no—
513C2×C22⋊D5—22no—
514C2×C22⋊D5—22no—
515C2×C22⋊D5—22no—
516C2×C22⋊D5—22no—
517C2×C22⋊D5—22no—
518C2×C22⋊D5—41no—
519C2×C22⋊D5—41no—
520C2×C22⋊D5—41no—
521C2×C22⋊D5—41no—
522C22×Dic5—22no—
523C22×Dic5—22no—
524C22×Dic5—22no—
525C22×Dic5—22no—
526C22×Dic5—22no—
527C22×Dic5—22no—
528C22×Dic5—22no—
529C22×Dic5—22no—
530C22×Dic5—41no—
531C22×Dic5—41no—
532C22×Dic5—41no—
533C22×Dic5—41no—
534C22×Dic5C2411yescharacteristic
535C22×Dic5C2411yescharacteristic
536C22×Dic5C2411yescharacteristic
537C22×Dic5C2411yescharacteristic
538C22×Dic5C2411yescharacteristic
539C22×Dic5C2411yescharacteristic
540C22×Dic5C2411yescharacteristic
541C22×Dic5C2411yescharacteristic
542C22×Dic5C2411yescharacteristic
543C22×Dic5C2411yescharacteristic
544C22×Dic5C2411yescharacteristic
545C22×Dic5C2411yescharacteristic
546C22×Dic5C2411yescharacteristic
547C22×Dic5C2411yescharacteristic
548C22×Dic5C2411yescharacteristic
549C2×C4×D5—22no—
550C2×C4×D5—22no—
551C2×C4×D5—22no—
552C2×Dic10—22no—
553C2×Dic10—22no—
554C2×Dic10—41no—
555C5×C4⋊C4—22no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4C2×D414yes—
559C5×C22⋊C4—22no—
560C5×C22⋊C4—22no—
561C5×C22⋊C4—22no—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4C2×D414yes—
566C5×C22⋊C4C2×D414yes—
567C42×C5—22no—
568C42×C5—22no—
569C42×C5—22no—
570C42×C5C2×D414yes—
571C22⋊Dic5—22no—
572C22⋊Dic5—22no—
573C22⋊Dic5—22no—
574C22⋊Dic5—22no—
575C22⋊Dic5—22no—
576C22⋊Dic5—22no—
577C22⋊Dic5—22no—
578C22⋊Dic5—22no—
579C22⋊Dic5—22no—
580C22⋊Dic5—22no—
581C22⋊Dic5—22no—
582C22⋊Dic5—22no—
583C22⋊Dic5—22no—
584C22⋊Dic5—22no—
585C22⋊Dic5—22no—
586C22⋊Dic5—22no—
587C22⋊Dic5—22no—
588C22⋊Dic5—22no—
589C22⋊Dic5—22no—
590C22⋊Dic5—22no—
591C22⋊Dic5—22no—
592C22⋊Dic5—22no—
593C22⋊Dic5—41no—
594C22⋊Dic5—41no—
595C22⋊Dic5—41no—
596C22⋊Dic5—41no—
597C22⋊Dic5—41no—
598C22⋊Dic5—41no—
599C22⋊Dic5—41no—
600C22⋊Dic5—41no—
601C22⋊Dic5#4114yes—
602#685—22no—
603#685—22no—
604#685—22no—
605#685—22no—
606#685—22no—
607#685—22no—
608#685—41no—
609#685—41no—
610#685—41no—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—22no—
614C4⋊Dic5—22no—
615C4⋊Dic5—41no—
616C4⋊Dic5—41no—
617C4⋊Dic5—41no—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—22no—
629#683—22no—
630#683—41no—
631#683—41no—
632#683—41no—
633C4×Dic5—22no—
634C4×Dic5—22no—
635C4×Dic5—22no—
636C4×Dic5—22no—
637C4×Dic5—22no—
638C4×Dic5—22no—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—22no—
642C4×Dic5—41no—
643C4×Dic5—41no—
644C23×D4C2×D511yescharacteristic
645C24×C4C2×D511yescharacteristic
646C24×C4C2×D511yescharacteristic
647#529—108no—
648C2×#126—51no—
649C2×#126—51no—
650C2×#125—51no—
651C2×#124—51no—
652C2×#123—51no—
653C2×#123—51no—
654C2×#123—51no—
655C2×C22⋊Q8—51no—
656C2×C22⋊Q8—51no—
657C2×#121—51no—
658C2×#121—51no—
659C2×#120—51no—
660C2×#120—51no—
661C2×C4×Q8—51no—
662C2×C4×D4—28no—
663C2×C4×D4—51no—
664C2×C4×D4—51no—
665C2×C4×D4—51no—
666C2×C4×D4—51no—
667C2×C4×D4—51no—
668C2×C4×D4C2×D511yescharacteristic
669C2×C4×D4C2×D511yescharacteristic
670C2×C4×D4C2×D511yescharacteristic
671C2×C4×D4C2×D511yescharacteristic
672C2×C4×D4C2×D511yescharacteristic
673C2×C4×D4C2×D511yescharacteristic
674C2×C4×D4C2×D511yescharacteristic
675C2×C4×D4C2×D511yescharacteristic
676C2×#117—51no—
677C2×#117—51no—
678C2×#117—51no—
679C22×C4⋊C4C2×D511yescharacteristic
680C22×C22⋊C4—51no—
681C22×C22⋊C4—51no—
682C22×C22⋊C4C2×D511yescharacteristic
683C22×C22⋊C4C2×D511yescharacteristic
684C22×C42—51no—
685C22×C42—51no—
686C22×C42C2×D511yescharacteristic
687#400—51no—
688#400—51no—
689#400—51no—
690#399—51no—
691#398—51no—
692#398—51no—
693#398—51no—
694#397—51no—
695#397—51no—
696#397—51no—
697#397—51no—
698#397—51no—
699#397—51no—
700#397—51no—
701#396—51no—
702#396—51no—
703#396—51no—
704#396—51no—
705#394—51no—
706#394—51no—
707#394—51no—
708#394—51no—
709#394—51no—
710#394—51no—
711#394—51no—
712#394—51no—
713#394—51no—
714#394—51no—
715#393—51no—
716#393—51no—
717#392—51no—
718#392—51no—
719#391—51no—
720#390—51no—
721#389—51no—
722#389—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388—51no—
730#388—51no—
731#387—51no—
732#387—51no—
733#387—51no—
734#387—51no—
735#387—51no—
736#387—51no—
737#387—51no—
738#387—51no—
739#386—51no—
740#386—51no—
741#386—51no—
742#386—51no—
743#386—51no—
744#386—51no—
745#386—51no—
746#386—51no—
747#386—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#385—51no—
753#385—51no—
754#385—51no—
755#385—51no—
756#385—51no—
757#385—51no—
758#385—51no—
759#385—51no—
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#385—51no—
765#381—51no—
766#381—51no—
767#381—51no—
768#380—51no—
769#380—51no—
770#380—51no—
771#380—51no—
772#380—51no—
773#380—51no—
774#379—51no—
775#379—51no—
776#379—51no—
777#379—51no—
778C4×C4⋊C4—51no—
779C4×C4⋊C4—51no—
780C4×C4⋊C4—51no—
781C4×C4⋊C4—51no—
782C4×C22⋊C4—51no—
783C4×C22⋊C4—51no—
784C4×C22⋊C4—51no—
785C4×C22⋊C4—51no—
786C4×C22⋊C4—51no—
787C4×C22⋊C4—51no—
788C4×C22⋊C4—51no—
789C4×C22⋊C4—51no—
790C4×C22⋊C4—51no—
791C4×C22⋊C4—51no—
792C4×C22⋊C4—51no—
793C4×C22⋊C4—51no—
794C4×C22⋊C4—51no—
795C4×C22⋊C4—51no—
796C4×C22⋊C4—51no—
797C4×C22⋊C4—51no—
798#376—51no—
799C2×#95—51no—
800C2×#95—51no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—28no—
810C23×C5—28no—
811C23×C5—28no—
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—21no—
816C23×C5—21no—
817C23×C5—21no—
818C23×C5—21no—
819C23×C5—21no—
820C23×C5—21no—
821C23×C5—21no—
822C23×C5—21no—
823C23×C5—21no—
824C23×C5—21no—
825C23×C5—21no—
826C23×C5—21no—
827C23×C5—21no—
828C23×C5—21no—
829C23×C5—21no—
830C23×C5—44no—
831C23×C5—44no—
832C23×C5—44no—
833C23×C5—44no—
834C23×C5—44no—
835C23×C5—44no—
836C23×C5—44no—
837C23×C5—44no—
838C23×C5—44no—
839C23×C5—44no—
840C23×C5—44no—
841C23×C5C22×D412yes—
842C23×C5C22×D412yes—
843C23×C5C2×#4112yes—
844C23×C5C2×#4112yes—
845C23×C5C2×#4112yes—
846C23×C5C2×#4112yes—
847C23×C5C2×#4112yes—
848C23×C5C2×#4112yes—
849C23×C5C2×#4112yes—
850C23×C5C2511yescharacteristic
851C22×D5—21no—
852C22×D5—21no—
853C22×D5—21no—
854C22×D5—21no—
855C22×D5—21no—
856C22×D5—21no—
857C22×D5—21no—
858C5×D4—28no—
859C5×D4—28no—
860C5×D4—28no—
861C5×D4—28no—
862C2×C4×C5—28no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—28no—
876C2×C4×C5—28no—
877C2×C4×C5—28no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
884C2×C4×C5—21no—
885C2×C4×C5—21no—
886C2×C4×C5—21no—
887C2×C4×C5—44no—
888C2×C4×C5—44no—
889C2×C4×C5—44no—
890C2×C4×C5—44no—
891C2×C4×C5—44no—
892C2×C4×C5—44no—
893C2×C4×C5—44no—
894C2×C4×C5—44no—
895C2×C4×C5—44no—
896C2×C4×C5C22×D412yes—
897C2×C4×C5C22×D412yes—
898C2×C4×C5C22×D412yes—
899C2×C4×C5C22×D412yes—
900C2×C4×C5C22×D412yes—
901C2×C4×C5C2×#4112yes—
902C2×C4×C5C2×#4112yes—
903C2×C4×C5C2×#4112yes—
904C2×C4×C5H(5,𝔽2)12yes—
905C22⋊D5—44no—
906C22⋊D5—44no—
907C22⋊D5—44no—
908C22⋊D5—44no—
909C22⋊D5—44no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—21no—
922C2×Dic5—21no—
923C2×Dic5—21no—
924C2×Dic5—21no—
925C2×Dic5—21no—
926C2×Dic5—21no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—21no—
935C2×Dic5—21no—
936C2×Dic5—21no—
937C2×Dic5—21no—
938C2×Dic5—21no—
939C2×Dic5—21no—
940C2×Dic5—21no—
941C2×Dic5—21no—
942C2×Dic5—21no—
943C2×Dic5—21no—
944C2×Dic5—21no—
945C2×Dic5—21no—
946C2×Dic5—21no—
947C2×Dic5—21no—
948C2×Dic5—21no—
949C2×Dic5—21no—
950C2×Dic5—21no—
951C2×Dic5—21no—
952C2×Dic5—21no—
953C2×Dic5—44no—
954C2×Dic5—44no—
955C2×Dic5—44no—
956C2×Dic5—44no—
957C2×Dic5C2×#4112yes—
958C2×Dic5C2×#4112yes—
959C4×D5—44no—
960Dic10—44no—
961C25C22×D511yescharacteristic
962C25C22×D511yescharacteristic
963C22×Q8—51no—
964C22×D4—24no—
965C22×D4—24no—
966C22×D4—24no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—51no—
971C22×D4—51no—
972C22×D4C22×D511yescharacteristic
973C22×D4C22×D511yescharacteristic
974C22×D4C22×D511yescharacteristic
975C22×D4C22×D511yescharacteristic
976C23×C4—24no—
977C23×C4—24no—
978C23×C4—24no—
979C23×C4—24no—
980C23×C4—42no—
981C23×C4—42no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4C22×D511yescharacteristic
988C23×C4C22×D511yescharacteristic
989C23×C4C22×D511yescharacteristic
990C23×C4C22×D511yescharacteristic
991C23×C4C22×D511yescharacteristic
992C23×C4C22×D511yescharacteristic
993C23×C4C22×D511yescharacteristic
994C23×C4C22×D511yescharacteristic
995C23×C4C22×D511yescharacteristic
996C23×C4C22×D511yescharacteristic
997C23×C4C22×D511yescharacteristic
998C23×C4C22×D511yescharacteristic
999C23×C4C22×D511yescharacteristic
1000#126—104no—
1001#126—104no—
1002#125—104no—
1003#124—104no—
1004#123—104no—
1005#123—104no—
1006#123—104no—
1007C22⋊Q8—104no—
1008C22⋊Q8—104no—
1009#121—104no—
1010#121—104no—
1011#120—104no—
1012#120—104no—
1013C4×Q8—104no—
1014C4×D4—24no—
1015C4×D4—24no—
1016C4×D4—24no—
1017C4×D4—24no—
1018C4×D4—24no—
1019C4×D4—24no—
1020C4×D4—24no—
1021C4×D4—104no—
1022C4×D4—104no—
1023C4×D4—104no—
1024C4×D4—202no—
1025C4×D4—202no—
1026C4×D4C22⋊D518yescomplemented
1027#117—104no—
1028#117—104no—
1029#117—202no—
1030C2×C4⋊C4—24no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—51no—
1048C2×C4⋊C4—51no—
1049C2×C4⋊C4—51no—
1050C2×C4⋊C4—51no—
1051C2×C4⋊C4—51no—
1052C2×C4⋊C4—51no—
1053C2×C4⋊C4C22×D511yescharacteristic
1054C2×C4⋊C4C22×D511yescharacteristic
1055C2×C4⋊C4C22×D511yescharacteristic
1056C2×C4⋊C4C22×D511yescharacteristic
1057C2×C22⋊C4—24no—
1058C2×C22⋊C4—24no—
1059C2×C22⋊C4—51no—
1060C2×C22⋊C4—51no—
1061C2×C22⋊C4—51no—
1062C2×C22⋊C4—51no—
1063C2×C22⋊C4—51no—
1064C2×C22⋊C4—51no—
1065C2×C22⋊C4—51no—
1066C2×C22⋊C4—51no—
1067C2×C22⋊C4—51no—
1068C2×C22⋊C4—51no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—51no—
1073C2×C22⋊C4—51no—
1074C2×C22⋊C4—51no—
1075C2×C22⋊C4—51no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—51no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—51no—
1084C2×C22⋊C4—51no—
1085C2×C22⋊C4—51no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—51no—
1089C2×C22⋊C4—51no—
1090C2×C22⋊C4—51no—
1091C2×C22⋊C4—51no—
1092C2×C22⋊C4—51no—
1093C2×C22⋊C4—51no—
1094C2×C22⋊C4—51no—
1095C2×C22⋊C4—51no—
1096C2×C22⋊C4—51no—
1097C2×C22⋊C4—51no—
1098C2×C22⋊C4—51no—
1099C2×C22⋊C4—104no—
1100C2×C22⋊C4—104no—
1101C2×C22⋊C4C22×D511yescharacteristic
1102C2×C22⋊C4C22×D511yescharacteristic
1103C2×C22⋊C4C22×D511yescharacteristic
1104C2×C22⋊C4C22×D511yescharacteristic
1105C2×C22⋊C4C22×D511yescharacteristic
1106C2×C22⋊C4C22×D511yescharacteristic
1107C2×C22⋊C4C22×D511yescharacteristic
1108C2×C22⋊C4C22×D511yescharacteristic
1109C2×C42—24no—
1110C2×C42—51no—
1111C2×C42—51no—
1112C2×C42—51no—
1113C2×C42—51no—
1114C2×C42—51no—
1115C2×C42—51no—
1116C2×C42—51no—
1117C2×C42—51no—
1118C2×C42—51no—
1119C2×C42—51no—
1120C2×C42—51no—
1121C2×C42—104no—
1122C2×C42—202no—
1123C2×C42C22×D511yescharacteristic
1124C2×C42C22×D511yescharacteristic
1125C2×C42C22×D511yescharacteristic
1126C2×C42C22×D511yescharacteristic
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95—51no—
1150#95—51no—
1151#95—51no—
1152#95—51no—
1153#95—51no—
1154#95—51no—
1155#95—51no—
1156#95—51no—
1157#95—51no—
1158#95—51no—
1159#95—51no—
1160#95—51no—
1161#95—51no—
1162#95—51no—
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—22no—
1166C22×C5—22no—
1167C22×C5—22no—
1168C22×C5—22no—
1169C22×C5—22no—
1170C22×C5—22no—
1171C22×C5—22no—
1172C22×C5—22no—
1173C22×C5—22no—
1174C22×C5—22no—
1175C22×C5—22no—
1176C22×C5—22no—
1177C22×C5—22no—
1178C22×C5—22no—
1179C22×C5—22no—
1180C22×C5—22no—
1181C22×C5—22no—
1182C22×C5—22no—
1183C22×C5—22no—
1184C22×C5—416no—
1185C22×C5—416no—
1186C22×C5—41no—
1187C22×C5—41no—
1188C22×C5—41no—
1189C22×C5—41no—
1190C22×C5—41no—
1191C22×C5—41no—
1192C22×C5—41no—
1193C22×C5—41no—
1194C22×C5—41no—
1195C22×C5—41no—
1196C22×C5—41no—
1197C22×C5—41no—
1198C22×C5#52514yes—
1199C22×C5#52914yescomplemented
1200C22×C5C23×D411yescharacteristic
1201C22×C5C22×#4111yescharacteristic
1202C22×C5C22×#4111yescharacteristic
1203C22×C5C22×#4111yescharacteristic
1204C22×C5C22×#4111yescharacteristic
1205C22×C5C2×H(5,𝔽2)11yescharacteristic
1206C22×C5#58511yescharacteristic
1207C2×D5—41no—
1208C2×D5—41no—
1209C2×D5—41no—
1210C2×D5—41no—
1211C2×D5—41no—
1212C2×D5—41no—
1213C2×D5—41no—
1214C4×C5—22no—
1215C4×C5—22no—
1216C4×C5—22no—
1217C4×C5—22no—
1218C4×C5—22no—
1219C4×C5—22no—
1220C4×C5—41no—
1221C4×C5—41no—
1222C4×C5—41no—
1223C4×C5#54614yes—
1224Dic5—22no—
1225Dic5—22no—
1226Dic5—41no—
1227Dic5—41no—
1228Dic5—41no—
1229Dic5—41no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5—41no—
1234Dic5—41no—
1235Dic5—41no—
1236Dic5—41no—
1237Dic5—41no—
1238Dic5—41no—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—22no—
1244C24—22no—
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—41no—
1249C24—41no—
1250C24—41no—
1251C24—41no—
1252C24—51no—
1253C24#70914yes—
1254C24C23×D511yescharacteristic
1255C24C23×D511yescharacteristic
1256C24C23×D511yescharacteristic
1257C24C23×D511yescharacteristic
1258C24C23×D511yescharacteristic
1259C2×Q8—102no—
1260C2×Q8—102no—
1261C2×Q8—201no—
1262C2×D4—232no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—102no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—201no—
1285C2×D4—201no—
1286C2×D4—201no—
1287C2×D4—201no—
1288C2×D4#70914yes—
1289C2×D4C2×C22⋊D514yes—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—416no—
1327C22×C4—416no—
1328C22×C4—51no—
1329C22×C4—51no—
1330C22×C4—51no—
1331C22×C4—51no—
1332C22×C4—51no—
1333C22×C4—51no—
1334C22×C4—51no—
1335C22×C4—51no—
1336C22×C4—51no—
1337C22×C4—51no—
1338C22×C4—51no—
1339C22×C4—51no—
1340C22×C4—51no—
1341C22×C4—51no—
1342C22×C4—51no—
1343C22×C4—102no—
1344C22×C4—102no—
1345C22×C4—102no—
1346C22×C4—102no—
1347C22×C4—102no—
1348C22×C4—102no—
1349C22×C4—102no—
1350C22×C4—102no—
1351C22×C4—102no—
1352C22×C4—102no—
1353C22×C4—102no—
1354C22×C4—201no—
1355C22×C4—201no—
1356C22×C4—201no—
1357C22×C4—201no—
1358C22×C4#71114yes—
1359C22×C4C2×C22⋊D514yes—
1360C22×C4C2×C22⋊D514yes—
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C22×C4C23×D511yescharacteristic
1364C22×C4C23×D511yescharacteristic
1365C22×C4C23×D511yescharacteristic
1366C22×C4C23×D511yescharacteristic
1367C22×C4C23×D511yescharacteristic
1368C22×C4C23×D511yescharacteristic
1369C22×C4C23×D511yescharacteristic
1370C22×C4C23×D511yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—102no—
1375C4⋊C4—102no—
1376C4⋊C4—102no—
1377C4⋊C4—102no—
1378C4⋊C4—102no—
1379C4⋊C4—102no—
1380C4⋊C4—102no—
1381C4⋊C4—102no—
1382C4⋊C4—102no—
1383C4⋊C4—102no—
1384C4⋊C4—102no—
1385C4⋊C4—102no—
1386C4⋊C4—102no—
1387C4⋊C4—102no—
1388C4⋊C4—102no—
1389C4⋊C4—102no—
1390C4⋊C4—201no—
1391C4⋊C4—201no—
1392C4⋊C4—201no—
1393C4⋊C4—201no—
1394C4⋊C4—201no—
1395C4⋊C4—201no—
1396C4⋊C4C2×C22⋊D514yes—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—54no—
1404C22⋊C4—102no—
1405C22⋊C4—102no—
1406C22⋊C4—102no—
1407C22⋊C4—102no—
1408C22⋊C4—102no—
1409C22⋊C4—102no—
1410C22⋊C4—102no—
1411C22⋊C4—102no—
1412C22⋊C4—102no—
1413C22⋊C4—102no—
1414C22⋊C4—102no—
1415C22⋊C4—102no—
1416C22⋊C4—102no—
1417C22⋊C4—102no—
1418C22⋊C4—102no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—102no—
1429C22⋊C4—102no—
1430C22⋊C4—102no—
1431C22⋊C4—102no—
1432C22⋊C4—201no—
1433C22⋊C4—201no—
1434C22⋊C4—201no—
1435C22⋊C4—201no—
1436C22⋊C4—201no—
1437C22⋊C4—201no—
1438C22⋊C4—201no—
1439C22⋊C4—201no—
1440C22⋊C4—201no—
1441C22⋊C4—201no—
1442C22⋊C4—201no—
1443C22⋊C4C2×C22⋊D514yes—
1444C22⋊C4C2×C22⋊D514yes—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—102no—
1449C42—102no—
1450C42—102no—
1451C42—102no—
1452C42—102no—
1453C42—102no—
1454C42—102no—
1455C42—102no—
1456C42—102no—
1457C42—201no—
1458C42—201no—
1459C42C2×C22⋊D514yes—
1460C2×C5—24no—
1461C2×C5—24no—
1462C2×C5—42no—
1463C2×C5—42no—
1464C2×C5—42no—
1465C2×C5C2×#52511yescharacteristic
1466C2×C5C2×#52911yescharacteristic
1467C2×C5#345911yescharacteristic
1468C2×C5C2×#54611yescharacteristic
1469C2×C5D4×#4111yescharacteristic
1470C2×C5#347511yescharacteristic
1471C2×C5#348111yescharacteristic
1472D5—81no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—28no—
1482C23—28no—
1483C23—28no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—44no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—101no—
1514C23—101no—
1515C23—101no—
1516C23—101no—
1517C23—101no—
1518C23—101no—
1519C23—101no—
1520C23C2×#70912yes—
1521C23C2×#70912yes—
1522C23C2×#70912yes—
1523C23C2×#70912yes—
1524C23C2×#70912yes—
1525C23C2×#71112yes—
1526C23D5×#4112yes—
1527C23C22×C22⋊D512yes—
1528C23C22×C22⋊D512yes—
1529C23C24×D511yescharacteristic
1530Q8—204no—
1531D4—28no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—204no—
1536D4—204no—
1537D4—204no—
1538D4—204no—
1539D4—204no—
1540C2×C4—28no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—28no—
1554C2×C4—28no—
1555C2×C4—28no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—52no—
1575C2×C4—52no—
1576C2×C4—101no—
1577C2×C4—101no—
1578C2×C4—101no—
1579C2×C4—101no—
1580C2×C4—101no—
1581C2×C4—101no—
1582C2×C4—101no—
1583C2×C4—101no—
1584C2×C4—101no—
1585C2×C4—101no—
1586C2×C4—101no—
1587C2×C4—101no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—101no—
1598C2×C4—101no—
1599C2×C4—101no—
1600C2×C4—101no—
1601C2×C4—101no—
1602C2×C4—101no—
1603C2×C4—101no—
1604C2×C4—101no—
1605C2×C4—101no—
1606C2×C4—101no—
1607C2×C4—101no—
1608C2×C4—101no—
1609C2×C4—101no—
1610C2×C4—101no—
1611C2×C4—101no—
1612C2×C4—101no—
1613C2×C4—101no—
1614C2×C4—101no—
1615C2×C4—101no—
1616C2×C4—101no—
1617C2×C4—101no—
1618C2×C4—101no—
1619C2×C4—204no—
1620C2×C4—204no—
1621C2×C4—204no—
1622C2×C4—204no—
1623C2×C4—204no—
1624C2×C4C2×#70912yes—
1625C2×C4C2×#71112yes—
1626C2×C4C2×#71112yes—
1627C2×C4#414412yes—
1628C2×C4C22×C22⋊D512yes—
1629C2×C4C22×C22⋊D512yes—
1630C2×C4C22×C22⋊D512yes—
1631C2×C4C22×C22⋊D512yes—
1632C2×C4C22×C22⋊D512yes—
1633C5#3467011yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—201no—
1670C22—201no—
1671C22—201no—
1672C22—201no—
1673C22—201no—
1674C22—201no—
1675C22—201no—
1676C22#6587214yescomplemented
1677C22#6612514yes—
1678C22C22×#70911yescharacteristic
1679C22C22×#70911yescharacteristic
1680C22C22×#71111yescharacteristic
1681C22C2×#414411yescharacteristic
1682C22C2×D5×#4111yescharacteristic
1683C22#6628311yescharacteristic
1684C22C23×C22⋊D511yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—102no—
1695C4—102no—
1696C4—201no—
1697C4—201no—
1698C4—201no—
1699C4—201no—
1700C4—201no—
1701C4—201no—
1702C4—201no—
1703C4—201no—
1704C4—201no—
1705C4—201no—
1706C4—201no—
1707C4—201no—
1708C4—201no—
1709C4#6614014yes—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—401no—
1716C2C2×#6587211yescharacteristic
1717C2#1061766511yescharacteristic
1718C2#1061767711yescharacteristic
1719C2#1061768611yescharacteristic
1720C2C2×#6612511yescharacteristic
1721C2C2×#6614011yescharacteristic
1722C2#41×C22⋊D511yescharacteristic
subgroupG/H
centerC22×C4C23×D5
commutator, socle, cosocleC23×C5C25
FrattiniC23C24×D5
FittingC22×C4×C5×D4C2
prime radical#10615779C2
hypercenterC22×C4×D4D5
hypocenterC5#34670
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C22×C4 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C22×C4×C5×D4C2semidirect
2. C2×#65872C2semidirect
4. #10615778C2semidirect
5. C4×#4099C2semidirect
6. C4×#4099C2semidirect
7. #10615758C2semidirect
8. C2×C4×C22⋊Dic5C2semidirect
9. #10614132C2semidirect
10. #10614101C2semidirect
11. #10614100C2semidirect
12. #10614097C2semidirect
13. #10614096C2semidirect
14. #10614092C2semidirect
15. #10614088C2semidirect
16. #10614086C2semidirect
17. #10614085C2semidirect
18. #10614079C2semidirect
19. #10614077C2semidirect
20. #10614076C2semidirect
21. C4×#4081C2semidirect
22. C4×#4085C2semidirect
23. #10614049C2semidirect
24. #10613906C2semidirect
25. #10613905C2semidirect
26. #10613843C2semidirect
27. #10613842C2semidirect
28. #10613841C2semidirect
29. #10613839C2semidirect
30. C4×#4070C2semidirect
31. #10613796C2semidirect
57. C2×C4×C22⋊D5C22semidirect
58. C2×C4×C22⋊D5C22semidirect
59. C2×C4×C22⋊D5C22semidirect
60. C2×C4×C22⋊D5C22semidirect
61. C2×#4072C22semidirect
62. C2×#4072C22semidirect
64. C22×C4×Dic5C22semidirect
65. C22×C4×Dic5C22semidirect
67. C2×#4044C22semidirect
68. C2×#4035C22semidirect
69. C2×#4032C22semidirect
70. C2×#4031C22semidirect
71. C2×#4025C22semidirect
72. C2×#4024C22semidirect
73. C2×#4018C22semidirect
74. C2×C4×Dic10C22semidirect
95. #65502C22semidirect
96. #65502C22semidirect
97. #65502C22semidirect
98. #65502C22semidirect
102. #65501C22semidirect
103. #65501C22semidirect
104. #65500C22semidirect
105. #65500C22semidirect
112. #65499C22semidirect
113. #65499C22semidirect
114. #65499C22semidirect
115. #65499C22semidirect
121. C4×C22⋊Dic5C22semidirect
122. C4×C22⋊Dic5C22semidirect
123. C4×C22⋊Dic5C22semidirect
124. C4×C22⋊Dic5C22semidirect
125. C4×C22⋊Dic5C22semidirect
126. C4×C22⋊Dic5C22semidirect
127. C4×C22⋊Dic5C22semidirect
128. C4×C22⋊Dic5C22semidirect
129. C4×C22⋊Dic5C22semidirect
130. C4×C22⋊Dic5C22semidirect
131. C2×#3963C22semidirect
132. C2×#3963C22semidirect
133. #65283C22semidirect
134. #65282C22semidirect
135. #65279C22semidirect
136. #65275C22semidirect
137. #65273C22semidirect
138. #65272C22semidirect
139. #65271C22semidirect
140. #65271C22semidirect
141. #65270C22semidirect
142. #65270C22semidirect
143. #65269C22semidirect
144. #65267C22semidirect
145. #65267C22semidirect
146. #65261C22semidirect
147. #65250C22semidirect
148. #65250C22semidirect
149. #65250C22semidirect
150. #65248C22semidirect
151. #65247C22semidirect
152. #65246C22semidirect
153. #65242C22semidirect
154. #65242C22semidirect
155. #65242C22semidirect
156. #65241C22semidirect
157. #65241C22semidirect
158. #65241C22semidirect
159. #65240C22semidirect
160. #65240C22semidirect
161. #65239C22semidirect
162. #65239C22semidirect
163. #65238C22semidirect
164. #65237C22semidirect
165. #65237C22semidirect
166. #65237C22semidirect
167. #65236C22semidirect
168. #65236C22semidirect
169. #65235C22semidirect
170. #65234C22semidirect
171. #65233C22semidirect
172. #65233C22semidirect
173. #65232C22semidirect
174. #65231C22semidirect
175. #65229C22semidirect
176. #65229C22semidirect
177. C4×#685C22semidirect
178. C4×C4⋊Dic5C22semidirect
179. #65222C22semidirect
180. #65222C22semidirect
181. #65222C22semidirect
182. #65222C22semidirect
183. #65221C22semidirect
184. C4×#683C22semidirect
185. C4×#683C22semidirect
186. C4×#683C22semidirect
187. #65218C22semidirect
188. #65217C22semidirect
236. C4×C5×D4D4semidirect
393. C22×C4×D4D5semidirect
1026. C4×D4C22⋊D5semidirect
1199. C22×C5#529semidirect
1633. C5#34670semidirect
1676. C22#65872semidirect

Maximal subgroups

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

subgroupindex
C22×C4×C5×D42
C2×#658722
#106157792
#106157782
C4×#40992
#106157582
C2×C4×C22⋊Dic52
#106141322
#106141012
#106141002
#106140972
#106140962
#106140922
#106140882
#106140862
#106140852
#106140792
#106140772
#106140762
C4×#40812
C4×#40852
#106140492
#106139062
#106139052
#106138432
#106138422
#106138412
#106138392
C4×#40702
#106137962
#346705