Finite Group Databasebeta

← #36717153

Subgroups — #36717153

Order 22784.

4134 conjugacy classes of subgroups.

The subgroup lattice has 1998 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#120×D89C211yesmaximal, characteristic
2#26023392C211yesmaximal, characteristic, complemented
3#26023392C211yesmaximal, characteristic, complemented
4#26023390C211yesmaximal, characteristic, complemented
5#26023389C211yesmaximal, characteristic, complemented
6#26023234C211yesmaximal, characteristic, complemented
7#26023232C211yesmaximal, characteristic, complemented
8#26023229C211yesmaximal, characteristic, complemented
9#26023228C211yesmaximal, characteristic, complemented
10#26023100C211yesmaximal, characteristic, complemented
11#26023099C211yesmaximal, characteristic, complemented
12#26023096C211yesmaximal, characteristic, complemented
13#26023095C211yesmaximal, characteristic, complemented
14#26023073C211yesmaximal, characteristic, complemented
15#26023070C211yesmaximal, characteristic, complemented
16#26023070C211yesmaximal, characteristic, complemented
17D4×#13083551C211yesmaximal, characteristic, complemented
18#26022914C211yesmaximal, characteristic, complemented
19#26022913C211yesmaximal, characteristic, complemented
20#26022911C211yesmaximal, characteristic, complemented
21#26022910C211yesmaximal, characteristic, complemented
22#26022908C211yesmaximal, characteristic, complemented
23#26022907C211yesmaximal, characteristic, complemented
24#26022905C211yesmaximal, characteristic, complemented
25#26022846C211yesmaximal, characteristic, complemented
26#26022846C211yesmaximal, characteristic, complemented
27#26022831C211yesmaximal, characteristic, complemented
28#26022826C211yesmaximal, characteristic, complemented
29C2×#19151453C211yesmaximal, characteristic, complemented
30#379×D89C211yesmaximal, characteristic, complemented
31C89×#2321C211yesmaximal, characteristic, complemented
32C25×D89C2211yescharacteristic
33C22×D4×D89C2211yescharacteristic
34C22×D4×D89C2211yescharacteristic
35C22×D4×D89C2211yescharacteristic
36C2×#15667982C2211yescharacteristic
37C2×#15667982C2211yescharacteristic
38C2×#15667982C2211yescharacteristic
39C2×#15667981C2211yescharacteristic
40C2×#15667980C2211yescharacteristic
41C2×#15667980C2211yescharacteristic
42C2×#15667980C2211yescharacteristic
43#120×D89C4116yescomplemented
44C2×C4×D356C2211yescharacteristic, complemented
45C2×D4×Dic89C2211yescharacteristic, complemented
46C2×#15667974C2211yescharacteristic, complemented
47C2×C4×C22⋊D89C2211yescharacteristic, complemented
48C2×C4×C22⋊D89C2211yescharacteristic, complemented
49C2×#15667972C2211yescharacteristic, complemented
50C2×#15667972C2211yescharacteristic, complemented
51C2×#15667970C2211yescharacteristic, complemented
52C2×#15667969C2211yescharacteristic, complemented
53C22×C22⋊Dic89C2211yescharacteristic, complemented
54C22×#13083551C2211yescharacteristic
55C22×#13083551C2211yescharacteristic
56C22×#13083551C2211yescharacteristic, complemented
57C22×#13083551C2211yescharacteristic, complemented
58C22×#13083551C2211yescharacteristic, complemented
59C2×C22⋊C4×D89C2211yescharacteristic
60C2×C22⋊C4×D89C2211yescharacteristic
61C2×C22⋊C4×D89C2211yescharacteristic
62C2×C22⋊C4×D89C2211yescharacteristic
63C2×C22⋊C4×D89C2211yescharacteristic
64C2×C22⋊C4×D89C2211yescharacteristic, complemented
65C2×C22⋊C4×D89C2211yescharacteristic, complemented
66C2×C22⋊C4×D89C2211yescharacteristic, complemented
67C2×C22⋊C4×D89C2211yescharacteristic, complemented
68C2×C22⋊C4×D89C2211yescharacteristic, complemented
69#19151501C2211yescharacteristic, complemented
70#19151501C2211yescharacteristic, complemented
71#19151500C2211yescharacteristic, complemented
72#19151500C2211yescharacteristic, complemented
73#19151499C2211yescharacteristic, complemented
74#19151499C2211yescharacteristic, complemented
75#19151498C2211yescharacteristic, complemented
76#19151498C2211yescharacteristic, complemented
77#19151498C2211yescharacteristic, complemented
78#19151498C2211yescharacteristic, complemented
79#19151498C2211yescharacteristic, complemented
80#19151498C2211yescharacteristic, complemented
81#19151498C2211yescharacteristic, complemented
82#19151498C2211yescharacteristic, complemented
83#19151492C2211yescharacteristic, complemented
84#19151492C2211yescharacteristic, complemented
85#19151492C2211yescharacteristic, complemented
86#19151492C2211yescharacteristic, complemented
87#19151491C2211yescharacteristic, complemented
88#19151491C2211yescharacteristic, complemented
89#19151491C2211yescharacteristic, complemented
90#19151491C2211yescharacteristic, complemented
91#19151490C2211yescharacteristic, complemented
92#19151490C2211yescharacteristic, complemented
93#19151490C2211yescharacteristic, complemented
94#19151490C2211yescharacteristic, complemented
95#19151489C2211yescharacteristic, complemented
96#19151489C2211yescharacteristic, complemented
97#19151489C2211yescharacteristic, complemented
98#19151489C2211yescharacteristic, complemented
99#19151488C2211yescharacteristic, complemented
100#19151488C2211yescharacteristic, complemented
101#19151488C2211yescharacteristic, complemented
102#19151488C2211yescharacteristic, complemented
103#19151487C2211yescharacteristic, complemented
104#19151487C2211yescharacteristic, complemented
105#19151487C2211yescharacteristic, complemented
106#19151487C2211yescharacteristic, complemented
107#19151486C2211yescharacteristic, complemented
108#19151486C2211yescharacteristic, complemented
109#19151486C2211yescharacteristic, complemented
110#19151486C2211yescharacteristic, complemented
111#19151478C2211yescharacteristic, complemented
112#19151478C2211yescharacteristic, complemented
113#19151478C2211yescharacteristic, complemented
114#19151477C2211yescharacteristic, complemented
115#19151477C2211yescharacteristic, complemented
116#19151477C2211yescharacteristic, complemented
117#19151476C2211yescharacteristic, complemented
118#19151476C2211yescharacteristic, complemented
119#19151476C2211yescharacteristic, complemented
120#19151476C2211yescharacteristic, complemented
121#19151476C2211yescharacteristic, complemented
122#19151476C2211yescharacteristic, complemented
123#19151475C2211yescharacteristic, complemented
124#19151475C2211yescharacteristic, complemented
125#19151475C2211yescharacteristic, complemented
126#19151474C2211yescharacteristic, complemented
127#19151474C2211yescharacteristic, complemented
128#19151474C2211yescharacteristic, complemented
129#19151474C2211yescharacteristic, complemented
130#19151474C2211yescharacteristic, complemented
131#19151474C2211yescharacteristic, complemented
132#19151473C2211yescharacteristic, complemented
133#19151472C2211yescharacteristic, complemented
134#19151472C2211yescharacteristic, complemented
135#19151471C2211yescharacteristic, complemented
136#19151470C2211yescharacteristic, complemented
137#19151469C2211yescharacteristic, complemented
138#19151469C2211yescharacteristic, complemented
139#19151460C2211yescharacteristic, complemented
140#19151460C2211yescharacteristic, complemented
141#19151457C2211yescharacteristic, complemented
142#19151457C2211yescharacteristic, complemented
143#19151455C2211yescharacteristic, complemented
144#19151455C2211yescharacteristic, complemented
145#19151454C2211yescharacteristic, complemented
146#19151453C2211yescharacteristic
147#19151453C2211yescharacteristic
148#19151453C2211yescharacteristic
149#19151453C2211yescharacteristic
150#19151453C2211yescharacteristic
151#19151453C2211yescharacteristic
152#19151453C2211yescharacteristic
153#19151453C2211yescharacteristic
154#19151453C2211yescharacteristic, complemented
155#19151453C2211yescharacteristic, complemented
156#19151453C2211yescharacteristic, complemented
157#19151453C2211yescharacteristic, complemented
158#19151453C2211yescharacteristic, complemented
159#19151453C2211yescharacteristic, complemented
160#19151453C2211yescharacteristic, complemented
161#19151453C2211yescharacteristic, complemented
162C22⋊C4×Dic89C2211yescharacteristic, complemented
163C22⋊C4×Dic89C2211yescharacteristic, complemented
164C4×#13083551C2211yescharacteristic, complemented
165C4×#13083551C2211yescharacteristic, complemented
166C4×#13083551C2211yescharacteristic, complemented
167C4×#13083551C2211yescharacteristic, complemented
168C4×C22⋊Dic89C2211yescharacteristic, complemented
169#19151445C2211yescharacteristic, complemented
170#19151445C2211yescharacteristic, complemented
171#19151445C2211yescharacteristic, complemented
172#19151445C2211yescharacteristic, complemented
173C2×#120×C89C2211yescharacteristic
174C2×C4×D4×C89C2211yescharacteristic, complemented
175C22×C22⋊C4×C89C2211yescharacteristic, complemented
176#390×C89C2211yescharacteristic, complemented
177#390×C89C2211yescharacteristic, complemented
178#388×C89C2211yescharacteristic, complemented
179#388×C89C2211yescharacteristic, complemented
180#388×C89C2211yescharacteristic, complemented
181#388×C89C2211yescharacteristic, complemented
182#386×C89C2211yescharacteristic, complemented
183#386×C89C2211yescharacteristic, complemented
184#386×C89C2211yescharacteristic, complemented
185#385×C89C2211yescharacteristic, complemented
186#379×C89C2211yescharacteristic, complemented
187C4×C22⋊C4×C89C2211yescharacteristic, complemented
188C24×D89—42no—
189C24×D89—42no—
190C24×D89—42no—
191C24×D89—42no—
192C24×D89—42no—
193C24×D89—42no—
194C24×D89C2×C418yescomplemented
195C24×D89C2311yescharacteristic
196C24×D89C2311yescharacteristic
197C24×D89C2311yescharacteristic
198C24×D89C2311yescharacteristic
199C24×D89C2311yescharacteristic
200C24×D89C2311yescharacteristic
201C24×D89C2311yescharacteristic
202C22×D356C2311yescharacteristic
203C22×D356C2311yescharacteristic
204C22×D356C2311yescharacteristic
205C22×C22⋊D89C2311yescharacteristic
206C22×C22⋊D89C2311yescharacteristic
207C22×C22⋊D89C2311yescharacteristic
208C22×C22⋊D89C2311yescharacteristic
209C22×C22⋊D89C2311yescharacteristic
210C22×C22⋊D89C2311yescharacteristic
211C2×D4×D89—42no—
212C2×D4×D89—42no—
213C2×D4×D89—42no—
214C2×D4×D89—42no—
215C2×D4×D89—42no—
216C2×D4×D89—42no—
217C2×D4×D89C2×C418yescomplemented
218C2×D4×D89C2×C418yescomplemented
219C2×D4×D89C2×C418yescomplemented
220C23×Dic89C2311yescharacteristic
221C23×Dic89C2311yescharacteristic
222C23×Dic89C2311yescharacteristic, complemented
223C22×C4×D89C2311yescharacteristic
224C22×C4×D89C2311yescharacteristic
225C22×C4×D89C2311yescharacteristic
226C22×C4×D89C2311yescharacteristic
227C22×C4×D89C2311yescharacteristic
228C22×C4×D89C2311yescharacteristic
229C22×C4×D89C2311yescharacteristic
230C22×C4×D89C2311yescharacteristic, complemented
231C22×C4×D89C2311yescharacteristic, complemented
232#15667982C2×C418yescomplemented
233#15667982C2×C418yescomplemented
234#15667982C2×C418yescomplemented
235#15667981C2×C418yescomplemented
236#15667980C2×C418yescomplemented
237#15667980C2×C418yescomplemented
238#15667980C2×C418yescomplemented
239C4×D356—42no—
240D4×Dic89—42no—
241#15667974—42no—
242C4×C22⋊D89—42no—
243C4×C22⋊D89—42no—
244#15667972—42no—
245#15667972—42no—
246#15667970—42no—
247#15667969—42no—
248C2×C4⋊Dic89C2311yescharacteristic, complemented
249C2×C4⋊Dic89C2311yescharacteristic, complemented
250C2×C4⋊Dic89C2311yescharacteristic, complemented
251C2×#13083553C2311yescharacteristic, complemented
252C2×#13083553C2311yescharacteristic, complemented
253C2×#13083553C2311yescharacteristic, complemented
254C2×#13083553C2311yescharacteristic, complemented
255C2×#13083553C2311yescharacteristic, complemented
256C2×#13083553C2311yescharacteristic, complemented
257C2×C22⋊Dic89—42no—
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×C22⋊Dic89C2311yescharacteristic
268C2×C22⋊Dic89C2311yescharacteristic
269C2×C22⋊Dic89C2311yescharacteristic
270C2×C22⋊Dic89C2311yescharacteristic
271C2×C22⋊Dic89C2311yescharacteristic, complemented
272C2×C22⋊Dic89C2311yescharacteristic, complemented
273C2×C22⋊Dic89C2311yescharacteristic, complemented
274C2×#13083551—42no—
275C2×#13083551—42no—
276C2×#13083551—42no—
277C2×#13083551—42no—
278C2×#13083551—42no—
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
305C2×#13083551C2311yescharacteristic
306C2×#13083551C2311yescharacteristic
307C2×#13083551C2311yescharacteristic
308C2×#13083551C2311yescharacteristic
309C2×#13083551C2311yescharacteristic
310C2×#13083551C2311yescharacteristic
311C2×#13083551C2311yescharacteristic
312C2×#13083551C2311yescharacteristic
313C2×#13083551C2311yescharacteristic, complemented
314C2×#13083551C2311yescharacteristic, complemented
315C2×#13083551C2311yescharacteristic, complemented
316C2×#13083551C2311yescharacteristic, complemented
317C2×#13083551C2311yescharacteristic, complemented
318C2×#13083551C2311yescharacteristic, complemented
319C22⋊C4×D89—42no—
320C22⋊C4×D89—42no—
321C22⋊C4×D89—42no—
322C22⋊C4×D89—42no—
323C22⋊C4×D89—42no—
324C22⋊C4×D89—42no—
325C22⋊C4×D89—42no—
326C22⋊C4×D89C2×C418yescomplemented
327C22⋊C4×D89C2×C418yescomplemented
328C22⋊C4×D89C2×C418yescomplemented
329C2×C4×Dic89C2311yescharacteristic, complemented
330C2×C4×Dic89C2311yescharacteristic, complemented
331C2×C4×Dic89C2311yescharacteristic, complemented
332C2×C4×Dic89C2311yescharacteristic, complemented
333C2×C4×Dic89C2311yescharacteristic, complemented
334C2×C4×Dic89C2311yescharacteristic, complemented
335C2×C4×Dic89C2311yescharacteristic, complemented
336C2×C4×Dic89C2311yescharacteristic, complemented
337C2×C4×Dic89C2311yescharacteristic, complemented
338#15667919C2311yescharacteristic, complemented
339#15667919C2311yescharacteristic, complemented
340#15667919C2311yescharacteristic, complemented
341#15667919C2311yescharacteristic, complemented
342#15667919C2311yescharacteristic, complemented
343#15667919C2311yescharacteristic, complemented
344#15667919C2311yescharacteristic, complemented
345#15667919C2311yescharacteristic, complemented
346#15667919C2311yescharacteristic, complemented
347#15667919C2311yescharacteristic, complemented
348#15667919C2311yescharacteristic, complemented
349#15667919C2311yescharacteristic, complemented
350#15667919C2311yescharacteristic, complemented
351#15667919C2311yescharacteristic, complemented
352#15667919C2311yescharacteristic, complemented
353#15667919C2311yescharacteristic, complemented
354#15667919C2311yescharacteristic, complemented
355#15667919C2311yescharacteristic, complemented
356C25×C89C2311yescharacteristic
357C22×D4×C89C2311yescharacteristic
358C22×D4×C89C2311yescharacteristic
359C22×D4×C89C2311yescharacteristic
360C23×C4×C89C2311yescharacteristic
361C23×C4×C89C2311yescharacteristic
362C23×C4×C89C2311yescharacteristic, complemented
363#120×C89C2×C418yescomplemented
364C4×D4×C89—42no—
365C2×C4⋊C4×C89C2311yescharacteristic, complemented
366C2×C4⋊C4×C89C2311yescharacteristic, complemented
367C2×C4⋊C4×C89C2311yescharacteristic, complemented
368C2×C22⋊C4×C89—42no—
369C2×C22⋊C4×C89C2311yescharacteristic
370C2×C22⋊C4×C89C2311yescharacteristic
371C2×C22⋊C4×C89C2311yescharacteristic
372C2×C22⋊C4×C89C2311yescharacteristic
373C2×C22⋊C4×C89C2311yescharacteristic
374C2×C22⋊C4×C89C2311yescharacteristic
375C2×C22⋊C4×C89C2311yescharacteristic
376C2×C22⋊C4×C89C2311yescharacteristic
377C2×C22⋊C4×C89C2311yescharacteristic
378C2×C22⋊C4×C89C2311yescharacteristic
379C2×C22⋊C4×C89C2311yescharacteristic
380C2×C22⋊C4×C89C2311yescharacteristic
381C2×C22⋊C4×C89C2311yescharacteristic
382C2×C22⋊C4×C89C2311yescharacteristic, complemented
383C2×C22⋊C4×C89C2311yescharacteristic, complemented
384C2×C22⋊C4×C89C2311yescharacteristic, complemented
385C2×C42×C89C2311yescharacteristic, complemented
386C2×C42×C89C2311yescharacteristic, complemented
387C2×C42×C89C2311yescharacteristic, complemented
388#95×C89C2311yescharacteristic, complemented
389#95×C89C2311yescharacteristic, complemented
390#95×C89C2311yescharacteristic, complemented
391#95×C89C2311yescharacteristic, complemented
392#95×C89C2311yescharacteristic, complemented
393#95×C89C2311yescharacteristic, complemented
394C23×D89—22no—
395C23×D89—22no—
396C23×D89—22no—
397C23×D89—22no—
398C23×D89—22no—
399C23×D89—22no—
400C23×D89—22no—
401C23×D89—22no—
402C23×D89—22no—
403C23×D89—22no—
404C23×D89—22no—
405C23×D89—22no—
406C23×D89—22no—
407C23×D89—22no—
408C23×D89—22no—
409C23×D89—22no—
410C23×D89—22no—
411C23×D89—22no—
412C23×D89—416no—
413C23×D89—416no—
414C23×D89—416no—
415C23×D89—41no—
416C23×D89—41no—
417C23×D89—41no—
418C23×D89—41no—
419C23×D89—41no—
420C23×D89—41no—
421C23×D89—41no—
422C23×D89—41no—
423C23×D89—41no—
424C23×D89—41no—
425C23×D89—41no—
426C23×D89—41no—
427C23×D89—41no—
428C23×D89—41no—
429C23×D89—41no—
430C23×D89—41no—
431C23×D89—41no—
432C23×D89—41no—
433C23×D89—41no—
434C23×D89—41no—
435C23×D89—41no—
436C23×D89—41no—
437C23×D89—41no—
438C23×D89—41no—
439C23×D89—416no—
440C23×D89—416no—
441C23×D89—416no—
442C23×D89—416no—
443C23×D89C22×C414yes—
444C23×D89C22×C414yes—
445C23×D89C22×C414yes—
446C23×D89C22×C414yes—
447C23×D89C22×C414yes—
448C23×D89C22×C414yes—
449C23×D89C22×C414yes—
450C23×D89C2411yescharacteristic
451C23×D89C2411yescharacteristic
452C23×D89C2411yescharacteristic
453C23×D89C2411yescharacteristic
454C23×D89C2411yescharacteristic
455C2×D356—22no—
456C2×D356—22no—
457C2×D356—41no—
458C2×D356—41no—
459C2×D356—41no—
460C2×D356—41no—
461C2×D356C22×C414yes—
462C2×D356C22×C414yes—
463C2×D356C22×C414yes—
464C2×C22⋊D89—22no—
465C2×C22⋊D89—22no—
466C2×C22⋊D89—22no—
467C2×C22⋊D89—22no—
468C2×C22⋊D89—41no—
469C2×C22⋊D89—41no—
470C2×C22⋊D89—41no—
471C2×C22⋊D89—41no—
472C2×C22⋊D89—41no—
473C2×C22⋊D89—41no—
474C2×C22⋊D89—41no—
475C2×C22⋊D89—41no—
476C2×C22⋊D89C22×C414yes—
477C2×C22⋊D89C22×C414yes—
478C2×C22⋊D89C22×C414yes—
479C2×C22⋊D89C22×C414yes—
480C2×C22⋊D89C22×C414yes—
481C2×C22⋊D89C22×C414yes—
482D4×D89—416no—
483D4×D89—416no—
484D4×D89—416no—
485C22×Dic89—22no—
486C22×Dic89—22no—
487C22×Dic89—41no—
488C22×Dic89—41no—
489C22×Dic89—41no—
490C22×Dic89—41no—
491C22×Dic89—41no—
492C22×Dic89—41no—
493C22×Dic89—41no—
494C22×Dic89C2411yescharacteristic
495C22×Dic89C2411yescharacteristic
496C22×Dic89C2411yescharacteristic
497C22×Dic89C2411yescharacteristic
498C22×Dic89C2411yescharacteristic
499C22×Dic89C2411yescharacteristic
500C22×Dic89C2411yescharacteristic
501C22×Dic89C2411yescharacteristic
502C22×Dic89C2411yescharacteristic
503C22×Dic89C2411yescharacteristic
504C22×Dic89C2411yescharacteristic
505C2×C4×D89—22no—
506C2×C4×D89—22no—
507C2×C4×D89—22no—
508C2×C4×D89—22no—
509C2×C4×D89—22no—
510C2×C4×D89—22no—
511C2×C4×D89—41no—
512C2×C4×D89—41no—
513C2×C4×D89—41no—
514C2×C4×D89—41no—
515C2×C4×D89—41no—
516C2×C4×D89—41no—
517C2×C4×D89—41no—
518C2×C4×D89—41no—
519C2×C4×D89—41no—
520C2×C4×D89—41no—
521C2×C4×D89—41no—
522C2×C4×D89—41no—
523C2×C4×D89—41no—
524C2×C4×D89—41no—
525C2×C4×D89—41no—
526C2×C4×D89—41no—
527C2×C4×D89—41no—
528C2×C4×D89—41no—
529C2×C4×D89C22×C414yes—
530C2×C4×D89C22×C414yes—
531C2×C4×D89C22×C414yes—
532C4⋊Dic89—41no—
533C4⋊Dic89—41no—
534C4⋊Dic89—41no—
535#13083553—41no—
536#13083553—41no—
537#13083553—41no—
538#13083553—41no—
539#13083553—41no—
540#13083553—41no—
541C22⋊Dic89—22no—
542C22⋊Dic89—22no—
543C22⋊Dic89—41no—
544C22⋊Dic89—41no—
545C22⋊Dic89—41no—
546C22⋊Dic89—41no—
547C22⋊Dic89—41no—
548C22⋊Dic89—41no—
549C22⋊Dic89—41no—
550C22⋊Dic89—41no—
551C22⋊Dic89—41no—
552C22⋊Dic89—41no—
553C22⋊Dic89—41no—
554C22⋊Dic89C22×C414yes—
555C22⋊Dic89C22×C414yes—
556C22⋊Dic89C22×C414yes—
557#13083551—22no—
558#13083551—22no—
559#13083551—22no—
560#13083551—22no—
561#13083551—22no—
562#13083551—22no—
563#13083551—22no—
564#13083551—22no—
565#13083551—22no—
566#13083551—22no—
567#13083551—22no—
568#13083551—22no—
569#13083551—41no—
570#13083551—41no—
571#13083551—41no—
572#13083551—41no—
573#13083551—41no—
574#13083551—41no—
575#13083551—41no—
576#13083551—41no—
577#13083551—41no—
578#13083551—41no—
579#13083551—41no—
580#13083551—41no—
581#13083551—41no—
582#13083551—41no—
583#13083551—41no—
584#13083551—41no—
585#13083551—41no—
586#13083551—41no—
587#13083551—41no—
588#13083551—41no—
589#13083551—41no—
590#13083551—41no—
591#13083551C22×C414yes—
592#13083551C22×C414yes—
593#13083551C22×C414yes—
594#13083551C22×C414yes—
595#13083551C22×C414yes—
596#13083551C22×C414yes—
597C4×Dic89—41no—
598C4×Dic89—41no—
599C4×Dic89—41no—
600C4×Dic89—41no—
601C4×Dic89—41no—
602C4×Dic89—41no—
603C4×Dic89—41no—
604C4×Dic89—41no—
605C4×Dic89—41no—
606C24×C89—22no—
607C24×C89—22no—
608C24×C89—41no—
609C24×C89—41no—
610C24×C89—41no—
611C24×C89—41no—
612C24×C89C22×C414yes—
613C24×C89C2411yescharacteristic
614C24×C89C2411yescharacteristic
615C24×C89C2411yescharacteristic
616C24×C89C2411yescharacteristic
617C2×D4×C89—22no—
618C2×D4×C89—22no—
619C2×D4×C89—41no—
620C2×D4×C89—41no—
621C2×D4×C89—41no—
622C2×D4×C89—41no—
623C2×D4×C89C22×C414yes—
624C2×D4×C89C22×C414yes—
625C2×D4×C89C22×C414yes—
626C22×C4×C89—22no—
627C22×C4×C89—22no—
628C22×C4×C89—41no—
629C22×C4×C89—41no—
630C22×C4×C89—41no—
631C22×C4×C89—41no—
632C22×C4×C89—41no—
633C22×C4×C89—41no—
634C22×C4×C89—41no—
635C22×C4×C89C2411yescharacteristic
636C22×C4×C89C2411yescharacteristic
637C22×C4×C89C2411yescharacteristic
638C22×C4×C89C2411yescharacteristic
639C22×C4×C89C2411yescharacteristic
640C22×C4×C89C2411yescharacteristic
641C22×C4×C89C2411yescharacteristic
642C22×C4×C89C2411yescharacteristic
643C22×C4×C89C2411yescharacteristic
644C22×C4×C89C2411yescharacteristic
645C22×C4×C89C2411yescharacteristic
646C4⋊C4×C89—41no—
647C4⋊C4×C89—41no—
648C4⋊C4×C89—41no—
649C22⋊C4×C89—22no—
650C22⋊C4×C89—22no—
651C22⋊C4×C89—41no—
652C22⋊C4×C89—41no—
653C22⋊C4×C89—41no—
654C22⋊C4×C89—41no—
655C22⋊C4×C89—41no—
656C22⋊C4×C89—41no—
657C22⋊C4×C89—41no—
658C22⋊C4×C89—41no—
659C22⋊C4×C89—41no—
660C22⋊C4×C89—41no—
661C22⋊C4×C89—41no—
662C22⋊C4×C89C22×C414yes—
663C22⋊C4×C89C22×C414yes—
664C22⋊C4×C89C22×C414yes—
665C42×C89—41no—
666C42×C89—41no—
667C42×C89—41no—
668C23×C89—21no—
669C23×C89—21no—
670C23×C89—21no—
671C23×C89—21no—
672C23×C89—28no—
673C23×C89—21no—
674C23×C89—21no—
675C23×C89—21no—
676C23×C89—21no—
677C23×C89—21no—
678C23×C89—21no—
679C23×C89—21no—
680C23×C89—21no—
681C23×C89—21no—
682C23×C89—21no—
683C23×C89—21no—
684C23×C89—21no—
685C23×C89—21no—
686C23×C89—21no—
687C23×C89—21no—
688C23×C89—21no—
689C23×C89—21no—
690C23×C89—21no—
691C23×C89—44no—
692C23×C89—44no—
693C23×C89—44no—
694C23×C89—44no—
695C23×C89—44no—
696C23×C89—44no—
697C23×C89C23×C412yes—
698C23×C89C23×C412yes—
699C23×C89C23×C412yes—
700C23×C89C23×C412yes—
701C23×C89H(5,𝔽2)12yes—
702C23×C89H(5,𝔽2)12yes—
703C23×C89C2511yescharacteristic
704C22×D89—21no—
705C22×D89—21no—
706C22×D89—21no—
707C22×D89—21no—
708C22×D89—21no—
709C22×D89—21no—
710C22×D89—21no—
711C22×D89—21no—
712C22×D89—28no—
713C22×D89—28no—
714C22×D89—21no—
715C22×D89—21no—
716C22×D89—21no—
717C22×D89—21no—
718C22×D89—21no—
719C22×D89—21no—
720C22×D89—21no—
721C22×D89—21no—
722C22×D89—21no—
723C22×D89—21no—
724C22×D89—21no—
725C22×D89—21no—
726C22×D89—21no—
727C22×D89—21no—
728C22×D89—21no—
729C22×D89—21no—
730C22×D89—21no—
731C22×D89—21no—
732C22×D89—28no—
733C22×D89—28no—
734C22×D89—28no—
735C22×D89—28no—
736C22×D89—28no—
737C22×D89—28no—
738C22×D89—28no—
739C22×D89—44no—
740C22×D89—44no—
741C22×D89—44no—
742C22×D89—44no—
743C22×D89—44no—
744C22×D89—44no—
745C22×D89—44no—
746C22×D89—44no—
747C22×D89—44no—
748C22×D89—44no—
749C22×D89—44no—
750C22×D89—44no—
751C22×D89—44no—
752C22×D89—44no—
753C22×D89—44no—
754C22×D89—44no—
755C22×D89—44no—
756C22×D89—44no—
757C22×D89—44no—
758C22×D89—44no—
759C22×D89—44no—
760C22×D89—44no—
761C22×D89—44no—
762C22×D89—44no—
763C22×D89—44no—
764C22×D89—44no—
765C22×D89—44no—
766C22×D89—44no—
767C22×D89—44no—
768C22×D89—44no—
769C22×D89—44no—
770C22×D89—44no—
771C22×D89—4128no—
772C22×D89—44no—
773C22×D89—44no—
774C22×D89—44no—
775C22×D89—44no—
776C22×D89—82no—
777C22×D89—82no—
778C22×D89—82no—
779C22×D89—82no—
780C22×D89C23×C412yes—
781C22×D89C23×C412yes—
782C22×D89C23×C412yes—
783C22×D89C23×C412yes—
784C22×D89C23×C412yes—
785C22×D89H(5,𝔽2)12yes—
786C22×D89H(5,𝔽2)12yes—
787C22×D89H(5,𝔽2)12yes—
788C22×D89H(5,𝔽2)12yes—
789D4×C89—28no—
790D4×C89—44no—
791D4×C89—44no—
792C2×C4×C89—21no—
793C2×C4×C89—21no—
794C2×C4×C89—21no—
795C2×C4×C89—21no—
796C2×C4×C89—21no—
797C2×C4×C89—21no—
798C2×C4×C89—21no—
799C2×C4×C89—21no—
800C2×C4×C89—21no—
801C2×C4×C89—21no—
802C2×C4×C89—21no—
803C2×C4×C89—21no—
804C2×C4×C89—21no—
805C2×C4×C89—21no—
806C2×C4×C89—21no—
807C2×C4×C89—21no—
808C2×C4×C89—21no—
809C2×C4×C89—21no—
810C2×C4×C89—21no—
811C2×C4×C89—21no—
812C2×C4×C89—21no—
813C2×C4×C89—21no—
814C2×C4×C89—21no—
815C2×C4×C89—21no—
816C2×C4×C89—21no—
817C2×C4×C89—21no—
818C2×C4×C89—21no—
819C2×C4×C89—21no—
820C2×C4×C89—21no—
821C2×C4×C89—21no—
822C2×C4×C89—82no—
823C2×C4×C89—82no—
824C2×C4×C89—82no—
825C2×C4×C89C23×C412yes—
826C2×C4×C89C23×C412yes—
827C2×C4×C89C23×C412yes—
828C22⋊D89—28no—
829C22⋊D89—28no—
830C22⋊D89—44no—
831C22⋊D89—44no—
832C22⋊D89—44no—
833C22⋊D89—44no—
834C2×Dic89—21no—
835C2×Dic89—21no—
836C2×Dic89—21no—
837C2×Dic89—21no—
838C2×Dic89—21no—
839C2×Dic89—21no—
840C2×Dic89—21no—
841C2×Dic89—21no—
842C2×Dic89—21no—
843C2×Dic89—21no—
844C2×Dic89—21no—
845C2×Dic89—21no—
846C2×Dic89—21no—
847C2×Dic89—21no—
848C2×Dic89—21no—
849C2×Dic89—21no—
850C2×Dic89—21no—
851C2×Dic89—21no—
852C2×Dic89—21no—
853C2×Dic89—21no—
854C2×Dic89—21no—
855C2×Dic89—21no—
856C2×Dic89—21no—
857C2×Dic89—21no—
858C2×Dic89—21no—
859C2×Dic89—21no—
860C2×Dic89—21no—
861C2×Dic89—21no—
862C2×Dic89—21no—
863C2×Dic89—21no—
864C2×Dic89—82no—
865C2×Dic89—82no—
866C2×Dic89—82no—
867C2×Dic89C23×C412yes—
868C2×Dic89C23×C412yes—
869C2×Dic89C23×C412yes—
870D356—28no—
871D356—44no—
872D356—44no—
873C4×D89—28no—
874C4×D89—44no—
875C4×D89—44no—
876C4×D89—82no—
877C4×D89—82no—
878C4×D89—82no—
879C4×D89—82no—
880C4×D89—82no—
881C4×D89—82no—
882C22×C89—22no—
883C22×C89—22no—
884C22×C89—22no—
885C22×C89—22no—
886C22×C89—22no—
887C22×C89—22no—
888C22×C89—22no—
889C22×C89—22no—
890C22×C89—22no—
891C22×C89—22no—
892C22×C89—22no—
893C22×C89—22no—
894C22×C89—22no—
895C22×C89—22no—
896C22×C89—22no—
897C22×C89—416no—
898C22×C89—41no—
899C22×C89—41no—
900C22×C89—41no—
901C22×C89—41no—
902C22×C89—41no—
903C22×C89—41no—
904C22×C89—41no—
905C22×C89—41no—
906C22×C89—41no—
907C22×C89—41no—
908C22×C89—41no—
909C22×C89—41no—
910C22×C89#51814yes—
911C22×C89C24×C411yescharacteristic
912C22×C89C2×H(5,𝔽2)11yescharacteristic
913C22×C89C2×H(5,𝔽2)11yescharacteristic
914C22×C89C2×H(5,𝔽2)11yescharacteristic
915C22×C89C2×H(5,𝔽2)11yescharacteristic
916C22×C89C2×H(5,𝔽2)11yescharacteristic
917C22×C89C2×H(5,𝔽2)11yescharacteristic
918C2×D89—22no—
919C2×D89—22no—
920C2×D89—22no—
921C2×D89—22no—
922C2×D89—22no—
923C2×D89—22no—
924C2×D89—22no—
925C2×D89—22no—
926C2×D89—22no—
927C2×D89—22no—
928C2×D89—22no—
929C2×D89—22no—
930C2×D89—22no—
931C2×D89—22no—
932C2×D89—22no—
933C2×D89—22no—
934C2×D89—22no—
935C2×D89—22no—
936C2×D89—22no—
937C2×D89—22no—
938C2×D89—22no—
939C2×D89—416no—
940C2×D89—416no—
941C2×D89—416no—
942C2×D89—416no—
943C2×D89—416no—
944C2×D89—416no—
945C2×D89—41no—
946C2×D89—41no—
947C2×D89—41no—
948C2×D89—41no—
949C2×D89—41no—
950C2×D89—41no—
951C2×D89—41no—
952C2×D89—41no—
953C2×D89—41no—
954C2×D89—41no—
955C2×D89—41no—
956C2×D89—41no—
957C2×D89—88no—
958C2×D89#51814yes—
959C2×D89#51814yes—
960C4×C89—22no—
961C4×C89—22no—
962C4×C89—22no—
963C4×C89—41no—
964C4×C89—41no—
965C4×C89—41no—
966C4×C89—41no—
967C4×C89—41no—
968C4×C89—41no—
969C4×C89—41no—
970C4×C89—41no—
971Dic89—22no—
972Dic89—22no—
973Dic89—22no—
974Dic89—41no—
975Dic89—41no—
976Dic89—41no—
977Dic89—41no—
978Dic89—41no—
979Dic89—41no—
980Dic89—41no—
981Dic89—41no—
982#34356—891nomaximal, Sylow
983C2×C89—24no—
984C2×C89—42no—
985C2×C89—42no—
986C2×C89—42no—
987C2×C89C2×#51811yescharacteristic
988C2×C89C2×#51811yescharacteristic
989C2×C89C2×#51811yescharacteristic
990C2×C89#353211yescharacteristic
991C2×C89#353211yescharacteristic
992C2×C89#353211yescharacteristic
993C2×C89#353211yescharacteristic
994D89—24no—
995D89—24no—
996D89—42no—
997D89—42no—
998D89—42no—
999C22×#120—891no—
1000#2375—891no—
1001#2375—891no—
1002#2375—891no—
1003#2375—891no—
1004#2358—891no—
1005#2358—891no—
1006#2358—891no—
1007#2358—891no—
1008#2342—891no—
1009#2342—891no—
1010#2342—891no—
1011#2342—891no—
1012D4×C22⋊C4—891no—
1013D4×C22⋊C4—891no—
1014D4×C22⋊C4—891no—
1015D4×C22⋊C4—891no—
1016#2321—891no—
1017#2321—891no—
1018#2321—891no—
1019#2321—891no—
1020#2321—891no—
1021#2321—891no—
1022#2321—891no—
1023#2321D8911yescharacteristic, complemented
1024#2312—891no—
1025#2312—891no—
1026#2309—891no—
1027#2308—891no—
1028C2×#379—891no—
1029C2×#379—891no—
1030C89#3435611yescharacteristic, complemented, Sylow
1031C26—891no—
1032C23×D4—891no—
1033C23×D4—891no—
1034C23×D4—891no—
1035C2×#120—891no—
1036C2×#120—891no—
1037C2×#120—891no—
1038C2×#120—891no—
1039C2×#120—8916no—
1040C2×#120—891no—
1041C2×#120—891no—
1042C2×#120—891no—
1043C2×#120C2×D8911yescharacteristic
1044C2×C4×D4—891no—
1045C2×C4×D4—891no—
1046C2×C4×D4—891no—
1047C2×C4×D4—891no—
1048C2×C4×D4—891no—
1049C2×C4×D4—891no—
1050C2×C4×D4—891no—
1051C2×C4×D4C2×D8911yescharacteristic, complemented
1052C2×#117—891no—
1053C2×#117—891no—
1054C22×C22⋊C4—891no—
1055C22×C22⋊C4—891no—
1056C22×C22⋊C4—891no—
1057C22×C22⋊C4—891no—
1058C22×C22⋊C4—891no—
1059C22×C22⋊C4—891no—
1060C22×C22⋊C4—891no—
1061C22×C22⋊C4—891no—
1062C22×C22⋊C4—891no—
1063C22×C22⋊C4—891no—
1064C22×C22⋊C4—891no—
1065C22×C22⋊C4—891no—
1066C22×C22⋊C4—891no—
1067C22×C22⋊C4—891no—
1068C22×C22⋊C4—891no—
1069C22×C22⋊C4—891no—
1070C22×C22⋊C4C2×D8911yescharacteristic, complemented
1071#390—891no—
1072#390—891no—
1073#390—891no—
1074#390—891no—
1075#390—891no—
1076#390—891no—
1077#390—891no—
1078#390—891no—
1079#390—891no—
1080#390—891no—
1081#390—891no—
1082#390—891no—
1083#390—891no—
1084#390—891no—
1085#390C2×D8911yescharacteristic, complemented
1086#390C2×D8911yescharacteristic, complemented
1087#388—891no—
1088#388—891no—
1089#388—891no—
1090#388—891no—
1091#388—891no—
1092#388—891no—
1093#388—891no—
1094#388—891no—
1095#388—891no—
1096#388—891no—
1097#388—891no—
1098#388—891no—
1099#388—891no—
1100#388—891no—
1101#388—891no—
1102#388—891no—
1103#388—891no—
1104#388—891no—
1105#388—891no—
1106#388—891no—
1107#388—891no—
1108#388—891no—
1109#388—891no—
1110#388—891no—
1111#388—891no—
1112#388—891no—
1113#388—891no—
1114#388—891no—
1115#388C2×D8911yescharacteristic, complemented
1116#388C2×D8911yescharacteristic, complemented
1117#388C2×D8911yescharacteristic, complemented
1118#388C2×D8911yescharacteristic, complemented
1119#386—891no—
1120#386—891no—
1121#386—891no—
1122#386—891no—
1123#386—891no—
1124#386—891no—
1125#386—891no—
1126#386—891no—
1127#386—891no—
1128#386—891no—
1129#386—891no—
1130#386—891no—
1131#386—891no—
1132#386—891no—
1133#386—891no—
1134#386—891no—
1135#386—891no—
1136#386—891no—
1137#386—891no—
1138#386—891no—
1139#386—891no—
1140#386C2×D8911yescharacteristic, complemented
1141#386C2×D8911yescharacteristic, complemented
1142#386C2×D8911yescharacteristic, complemented
1143#385—891no—
1144#385—891no—
1145#385—891no—
1146#385—891no—
1147#385—891no—
1148#385—891no—
1149#385—891no—
1150#385C2×D8911yescharacteristic, complemented
1151#381—891no—
1152#381—891no—
1153#380—891no—
1154#380—891no—
1155#380—891no—
1156#380—891no—
1157#379—891no—
1158#379—891no—
1159#379—891no—
1160#379—891no—
1161#379—891no—
1162#379—891no—
1163#379—891no—
1164#379—891no—
1165#379—891no—
1166#379—891no—
1167#379—891no—
1168#379—891no—
1169#379—891no—
1170#379—891no—
1171#379—891no—
1172#379—891no—
1173#379—891no—
1174#379C2×D8911yescharacteristic, complemented
1175C4×C22⋊C4—891no—
1176C4×C22⋊C4—891no—
1177C4×C22⋊C4—891no—
1178C4×C22⋊C4—891no—
1179C4×C22⋊C4—891no—
1180C4×C22⋊C4—891no—
1181C4×C22⋊C4—891no—
1182C4×C22⋊C4—891no—
1183C4×C22⋊C4—891no—
1184C4×C22⋊C4—891no—
1185C4×C22⋊C4—891no—
1186C4×C22⋊C4C2×D8911yescharacteristic, complemented
1187C25—898no—
1188C25—891no—
1189C25—891no—
1190C25—891no—
1191C25—891no—
1192C25—891no—
1193C25—891no—
1194C25—891no—
1195C25—3562no—
1196C25—3562no—
1197C25—3562no—
1198C25—3562no—
1199C25—3562no—
1200C25—3562no—
1201C25C22×D8911yescharacteristic
1202C22×D4—891no—
1203C22×D4—891no—
1204C22×D4—891no—
1205C22×D4—891no—
1206C22×D4—891no—
1207C22×D4—891no—
1208C22×D4—898no—
1209C22×D4—898no—
1210C22×D4—898no—
1211C22×D4—891no—
1212C22×D4—891no—
1213C22×D4—891no—
1214C22×D4—3562no—
1215C22×D4—3562no—
1216C22×D4—3562no—
1217C22×D4—3562no—
1218C22×D4—3562no—
1219C22×D4—3562no—
1220C22×D4C22×D8911yescharacteristic
1221C22×D4C22×D8911yescharacteristic
1222C22×D4C22×D8911yescharacteristic
1223C23×C4—891no—
1224C23×C4—891no—
1225C23×C4—891no—
1226C23×C4—891no—
1227C23×C4—891no—
1228C23×C4—891no—
1229C23×C4—891no—
1230C23×C4—891no—
1231C23×C4—891no—
1232C23×C4—891no—
1233C23×C4—891no—
1234C23×C4—891no—
1235C23×C4C22×D8911yescharacteristic
1236C23×C4C22×D8911yescharacteristic
1237C23×C4C22×D8911yescharacteristic, complemented
1238#120—898no—
1239#120—898no—
1240#120—898no—
1241#120—898no—
1242#120—898no—
1243#120—898no—
1244#120—898no—
1245#120C4×D8918yescomplemented
1246C4×D4—42no—
1247C4×D4—3562no—
1248C4×D4—3562no—
1249C4×D4—3562no—
1250C4×D4—3562no—
1251C4×D4—3562no—
1252C4×D4—3562no—
1253C4×D4—3562no—
1254#117—3562no—
1255#117—3562no—
1256C2×C4⋊C4—891no—
1257C2×C4⋊C4—891no—
1258C2×C4⋊C4—891no—
1259C2×C4⋊C4—891no—
1260C2×C4⋊C4—891no—
1261C2×C4⋊C4—891no—
1262C2×C4⋊C4—891no—
1263C2×C4⋊C4—891no—
1264C2×C4⋊C4—891no—
1265C2×C4⋊C4C22×D8911yescharacteristic, complemented
1266C2×C4⋊C4C22×D8911yescharacteristic, complemented
1267C2×C4⋊C4C22×D8911yescharacteristic, complemented
1268C2×C22⋊C4—42no—
1269C2×C22⋊C4—891no—
1270C2×C22⋊C4—891no—
1271C2×C22⋊C4—891no—
1272C2×C22⋊C4—891no—
1273C2×C22⋊C4—891no—
1274C2×C22⋊C4—891no—
1275C2×C22⋊C4—891no—
1276C2×C22⋊C4—891no—
1277C2×C22⋊C4—891no—
1278C2×C22⋊C4—898no—
1279C2×C22⋊C4—898no—
1280C2×C22⋊C4—898no—
1281C2×C22⋊C4—891no—
1282C2×C22⋊C4—891no—
1283C2×C22⋊C4—891no—
1284C2×C22⋊C4—891no—
1285C2×C22⋊C4—891no—
1286C2×C22⋊C4—891no—
1287C2×C22⋊C4—891no—
1288C2×C22⋊C4—891no—
1289C2×C22⋊C4—891no—
1290C2×C22⋊C4—891no—
1291C2×C22⋊C4—891no—
1292C2×C22⋊C4—891no—
1293C2×C22⋊C4—891no—
1294C2×C22⋊C4—891no—
1295C2×C22⋊C4—891no—
1296C2×C22⋊C4—891no—
1297C2×C22⋊C4—891no—
1298C2×C22⋊C4—891no—
1299C2×C22⋊C4—891no—
1300C2×C22⋊C4—891no—
1301C2×C22⋊C4—891no—
1302C2×C22⋊C4—891no—
1303C2×C22⋊C4—891no—
1304C2×C22⋊C4—891no—
1305C2×C22⋊C4—891no—
1306C2×C22⋊C4—891no—
1307C2×C22⋊C4—891no—
1308C2×C22⋊C4—891no—
1309C2×C22⋊C4—891no—
1310C2×C22⋊C4—891no—
1311C2×C22⋊C4—891no—
1312C2×C22⋊C4—891no—
1313C2×C22⋊C4—891no—
1314C2×C22⋊C4—891no—
1315C2×C22⋊C4—891no—
1316C2×C22⋊C4—891no—
1317C2×C22⋊C4—891no—
1318C2×C22⋊C4—891no—
1319C2×C22⋊C4—891no—
1320C2×C22⋊C4—891no—
1321C2×C22⋊C4—891no—
1322C2×C22⋊C4—891no—
1323C2×C22⋊C4—891no—
1324C2×C22⋊C4—891no—
1325C2×C22⋊C4—891no—
1326C2×C22⋊C4—891no—
1327C2×C22⋊C4—891no—
1328C2×C22⋊C4—3562no—
1329C2×C22⋊C4—3562no—
1330C2×C22⋊C4—3562no—
1331C2×C22⋊C4—3562no—
1332C2×C22⋊C4—3562no—
1333C2×C22⋊C4—3562no—
1334C2×C22⋊C4—3562no—
1335C2×C22⋊C4—3562no—
1336C2×C22⋊C4—3562no—
1337C2×C22⋊C4—3562no—
1338C2×C22⋊C4—3562no—
1339C2×C22⋊C4—3562no—
1340C2×C22⋊C4—3562no—
1341C2×C22⋊C4C22×D8911yescharacteristic
1342C2×C22⋊C4C22×D8911yescharacteristic
1343C2×C22⋊C4C22×D8911yescharacteristic
1344C2×C22⋊C4C22×D8911yescharacteristic
1345C2×C22⋊C4C22×D8911yescharacteristic
1346C2×C22⋊C4C22×D8911yescharacteristic
1347C2×C22⋊C4C22×D8911yescharacteristic
1348C2×C22⋊C4C22×D8911yescharacteristic
1349C2×C22⋊C4C22×D8911yescharacteristic
1350C2×C22⋊C4C22×D8911yescharacteristic
1351C2×C22⋊C4C22×D8911yescharacteristic
1352C2×C22⋊C4C22×D8911yescharacteristic
1353C2×C22⋊C4C22×D8911yescharacteristic
1354C2×C22⋊C4C22×D8911yescharacteristic, complemented
1355C2×C22⋊C4C22×D8911yescharacteristic, complemented
1356C2×C22⋊C4C22×D8911yescharacteristic, complemented
1357C2×C42—891no—
1358C2×C42—891no—
1359C2×C42—891no—
1360C2×C42—891no—
1361C2×C42—891no—
1362C2×C42—891no—
1363C2×C42—891no—
1364C2×C42—891no—
1365C2×C42—891no—
1366C2×C42C22×D8911yescharacteristic, complemented
1367C2×C42C22×D8911yescharacteristic, complemented
1368C2×C42C22×D8911yescharacteristic, complemented
1369#95—891no—
1370#95—891no—
1371#95—891no—
1372#95—891no—
1373#95—891no—
1374#95—891no—
1375#95—891no—
1376#95—891no—
1377#95—891no—
1378#95—891no—
1379#95—891no—
1380#95—891no—
1381#95—891no—
1382#95—891no—
1383#95—891no—
1384#95—891no—
1385#95—891no—
1386#95—891no—
1387#95C22×D8911yescharacteristic, complemented
1388#95C22×D8911yescharacteristic, complemented
1389#95C22×D8911yescharacteristic, complemented
1390#95C22×D8911yescharacteristic, complemented
1391#95C22×D8911yescharacteristic, complemented
1392#95C22×D8911yescharacteristic, complemented
1393C24—22no—
1394C24—22no—
1395C24—41no—
1396C24—41no—
1397C24—41no—
1398C24—41no—
1399C24—891no—
1400C24—891no—
1401C24—894no—
1402C24—894no—
1403C24—894no—
1404C24—894no—
1405C24—894no—
1406C24—894no—
1407C24—894no—
1408C24—891no—
1409C24—891no—
1410C24—891no—
1411C24—3561no—
1412C24—3561no—
1413C24—3561no—
1414C24—3561no—
1415C24—3561no—
1416C24—3561no—
1417C24—3561no—
1418C24—3561no—
1419C24—3561no—
1420C24—3561no—
1421C24—3561no—
1422C24—3561no—
1423C24—3561no—
1424C24—3561no—
1425C24—3561no—
1426C24—3561no—
1427C24—3561no—
1428C24—3561no—
1429C24—3561no—
1430C24—3561no—
1431C24—35616no—
1432C24—3561no—
1433C24—3561no—
1434C24—3561no—
1435C24—3561no—
1436C24—35616no—
1437C24—35616no—
1438C24—35616no—
1439C24—35616no—
1440C24—35616no—
1441C24—35616no—
1442C24—1782no—
1443C24—1782no—
1444C24—1782no—
1445C24—1782no—
1446C24—1782no—
1447C24—1782no—
1448C24—1782no—
1449C24—1782no—
1450C24—1782no—
1451C24—1782no—
1452C24—1782no—
1453C24—1782no—
1454C24—1782no—
1455C24—1782no—
1456C24—1782no—
1457C24—1782no—
1458C24—1782no—
1459C24—1782no—
1460C24C2×C4×D8914yes—
1461C24C23×D8911yescharacteristic
1462C24C23×D8911yescharacteristic
1463C24C23×D8911yescharacteristic
1464C24C23×D8911yescharacteristic
1465C2×D4—22no—
1466C2×D4—22no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—41no—
1470C2×D4—41no—
1471C2×D4—894no—
1472C2×D4—894no—
1473C2×D4—894no—
1474C2×D4—894no—
1475C2×D4—894no—
1476C2×D4—894no—
1477C2×D4—894no—
1478C2×D4—894no—
1479C2×D4—894no—
1480C2×D4—3561no—
1481C2×D4—3561no—
1482C2×D4—3561no—
1483C2×D4—3561no—
1484C2×D4—35616no—
1485C2×D4—35616no—
1486C2×D4—35616no—
1487C2×D4—3561no—
1488C2×D4—3561no—
1489C2×D4—3561no—
1490C2×D4—3561no—
1491C2×D4—3561no—
1492C2×D4—3561no—
1493C2×D4—3561no—
1494C2×D4—3561no—
1495C2×D4—1782no—
1496C2×D4—1782no—
1497C2×D4—1782no—
1498C2×D4—1782no—
1499C2×D4—1782no—
1500C2×D4—1782no—
1501C2×D4C2×C4×D8914yes—
1502C2×D4C2×C4×D8914yes—
1503C2×D4C2×C4×D8914yes—
1504C22×C4—22no—
1505C22×C4—22no—
1506C22×C4—41no—
1507C22×C4—41no—
1508C22×C4—41no—
1509C22×C4—41no—
1510C22×C4—41no—
1511C22×C4—41no—
1512C22×C4—41no—
1513C22×C4—891no—
1514C22×C4—891no—
1515C22×C4—891no—
1516C22×C4—894no—
1517C22×C4—894no—
1518C22×C4—894no—
1519C22×C4—891no—
1520C22×C4—891no—
1521C22×C4—891no—
1522C22×C4—891no—
1523C22×C4—891no—
1524C22×C4—891no—
1525C22×C4—891no—
1526C22×C4—891no—
1527C22×C4—3561no—
1528C22×C4—3561no—
1529C22×C4—3561no—
1530C22×C4—3561no—
1531C22×C4—3561no—
1532C22×C4—3561no—
1533C22×C4—3561no—
1534C22×C4—3561no—
1535C22×C4—3561no—
1536C22×C4—3561no—
1537C22×C4—3561no—
1538C22×C4—3561no—
1539C22×C4—3561no—
1540C22×C4—3561no—
1541C22×C4—3561no—
1542C22×C4—3561no—
1543C22×C4—3561no—
1544C22×C4—3561no—
1545C22×C4—3561no—
1546C22×C4—3561no—
1547C22×C4—3561no—
1548C22×C4—3561no—
1549C22×C4—3561no—
1550C22×C4—3561no—
1551C22×C4—3561no—
1552C22×C4—1782no—
1553C22×C4—1782no—
1554C22×C4—1782no—
1555C22×C4—1782no—
1556C22×C4—1782no—
1557C22×C4—1782no—
1558C22×C4—1782no—
1559C22×C4—1782no—
1560C22×C4C23×D8911yescharacteristic
1561C22×C4C23×D8911yescharacteristic
1562C22×C4C23×D8911yescharacteristic
1563C22×C4C23×D8911yescharacteristic
1564C22×C4C23×D8911yescharacteristic
1565C22×C4C23×D8911yescharacteristic
1566C22×C4C23×D8911yescharacteristic
1567C22×C4C23×D8911yescharacteristic
1568C22×C4C23×D8911yescharacteristic
1569C22×C4C23×D8911yescharacteristic
1570C22×C4C23×D8911yescharacteristic
1571C4⋊C4—41no—
1572C4⋊C4—41no—
1573C4⋊C4—41no—
1574C4⋊C4—3561no—
1575C4⋊C4—3561no—
1576C4⋊C4—3561no—
1577C4⋊C4—3561no—
1578C4⋊C4—3561no—
1579C4⋊C4—3561no—
1580C4⋊C4—3561no—
1581C4⋊C4—3561no—
1582C4⋊C4—3561no—
1583C22⋊C4—22no—
1584C22⋊C4—22no—
1585C22⋊C4—41no—
1586C22⋊C4—41no—
1587C22⋊C4—41no—
1588C22⋊C4—41no—
1589C22⋊C4—41no—
1590C22⋊C4—41no—
1591C22⋊C4—41no—
1592C22⋊C4—41no—
1593C22⋊C4—41no—
1594C22⋊C4—41no—
1595C22⋊C4—41no—
1596C22⋊C4—894no—
1597C22⋊C4—894no—
1598C22⋊C4—894no—
1599C22⋊C4—894no—
1600C22⋊C4—894no—
1601C22⋊C4—894no—
1602C22⋊C4—894no—
1603C22⋊C4—894no—
1604C22⋊C4—894no—
1605C22⋊C4—3561no—
1606C22⋊C4—3561no—
1607C22⋊C4—3561no—
1608C22⋊C4—3561no—
1609C22⋊C4—3561no—
1610C22⋊C4—3561no—
1611C22⋊C4—3561no—
1612C22⋊C4—3561no—
1613C22⋊C4—3561no—
1614C22⋊C4—3561no—
1615C22⋊C4—3561no—
1616C22⋊C4—3561no—
1617C22⋊C4—3561no—
1618C22⋊C4—3561no—
1619C22⋊C4—3561no—
1620C22⋊C4—3561no—
1621C22⋊C4—3561no—
1622C22⋊C4—3561no—
1623C22⋊C4—3561no—
1624C22⋊C4—3561no—
1625C22⋊C4—3561no—
1626C22⋊C4—3561no—
1627C22⋊C4—3561no—
1628C22⋊C4—3561no—
1629C22⋊C4—3561no—
1630C22⋊C4—3561no—
1631C22⋊C4—3561no—
1632C22⋊C4—3561no—
1633C22⋊C4—3561no—
1634C22⋊C4—3561no—
1635C22⋊C4—3561no—
1636C22⋊C4—3561no—
1637C22⋊C4—3561no—
1638C22⋊C4—1782no—
1639C22⋊C4—1782no—
1640C22⋊C4—1782no—
1641C22⋊C4—1782no—
1642C22⋊C4—1782no—
1643C22⋊C4—1782no—
1644C22⋊C4—1782no—
1645C22⋊C4—1782no—
1646C22⋊C4—1782no—
1647C22⋊C4—1782no—
1648C22⋊C4—1782no—
1649C22⋊C4—1782no—
1650C22⋊C4—1782no—
1651C22⋊C4—1782no—
1652C22⋊C4C2×C4×D8914yes—
1653C22⋊C4C2×C4×D8914yes—
1654C22⋊C4C2×C4×D8914yes—
1655C42—41no—
1656C42—41no—
1657C42—41no—
1658C42—3561no—
1659C42—3561no—
1660C42—3561no—
1661C42—3561no—
1662C42—3561no—
1663C42—3561no—
1664C42—3561no—
1665C42—3561no—
1666C42—3561no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—28no—
1690C23—44no—
1691C23—44no—
1692C23—44no—
1693C23—44no—
1694C23—44no—
1695C23—44no—
1696C23—892no—
1697C23—892no—
1698C23—892no—
1699C23—892no—
1700C23—892no—
1701C23—892no—
1702C23—892no—
1703C23—892no—
1704C23—892no—
1705C23—3564no—
1706C23—3564no—
1707C23—3564no—
1708C23—3564no—
1709C23—3564no—
1710C23—3564no—
1711C23—3564no—
1712C23—3564no—
1713C23—3564no—
1714C23—3564no—
1715C23—3564no—
1716C23—3564no—
1717C23—3564no—
1718C23—3564no—
1719C23—3564no—
1720C23—3564no—
1721C23—3564no—
1722C23—3564no—
1723C23—3564no—
1724C23—3564no—
1725C23—356128no—
1726C23—3564no—
1727C23—3564no—
1728C23—3564no—
1729C23—3564no—
1730C23—3564no—
1731C23—3564no—
1732C23—3564no—
1733C23—3564no—
1734C23—3564no—
1735C23—3564no—
1736C23—3564no—
1737C23—3564no—
1738C23—3564no—
1739C23—3564no—
1740C23—3564no—
1741C23—3564no—
1742C23—1788no—
1743C23—1788no—
1744C23—1788no—
1745C23—1788no—
1746C23—1788no—
1747C23—1788no—
1748C23—1788no—
1749C23—1781no—
1750C23—1781no—
1751C23—1781no—
1752C23—1781no—
1753C23—1781no—
1754C23—1781no—
1755C23—1781no—
1756C23—1781no—
1757C23—1781no—
1758C23—1781no—
1759C23—1781no—
1760C23—1781no—
1761C23—1781no—
1762C23—1781no—
1763C23—1781no—
1764C23—1781no—
1765C23—1781no—
1766C23—1781no—
1767C23—1788no—
1768C23—1788no—
1769C23—1781no—
1770C23—1781no—
1771C23—1781no—
1772C23—1781no—
1773C23—1781no—
1774C23—1781no—
1775C23—1781no—
1776C23—1781no—
1777C23—7122no—
1778C23—7122no—
1779C23—7122no—
1780C23—7122no—
1781C23C22×C4×D8912yes—
1782C23C22×C4×D8912yes—
1783C23C22×C4×D8912yes—
1784C23C22×C4×D8912yes—
1785C23#1566805712yes—
1786C23#1566805812yes—
1787C23C24×D8911yescharacteristic
1788D4—28no—
1789D4—44no—
1790D4—44no—
1791D4—3564no—
1792D4—3564no—
1793D4—3564no—
1794D4—3564no—
1795D4—3564no—
1796D4—3564no—
1797D4—1788no—
1798D4—1788no—
1799D4—1788no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—82no—
1831C2×C4—82no—
1832C2×C4—82no—
1833C2×C4—892no—
1834C2×C4—892no—
1835C2×C4—892no—
1836C2×C4—3564no—
1837C2×C4—3564no—
1838C2×C4—1788no—
1839C2×C4—1781no—
1840C2×C4—1781no—
1841C2×C4—1781no—
1842C2×C4—1781no—
1843C2×C4—1781no—
1844C2×C4—1781no—
1845C2×C4—1781no—
1846C2×C4—1781no—
1847C2×C4—1781no—
1848C2×C4—1781no—
1849C2×C4—1781no—
1850C2×C4—1781no—
1851C2×C4—1781no—
1852C2×C4—1781no—
1853C2×C4—1781no—
1854C2×C4—1781no—
1855C2×C4—1781no—
1856C2×C4—1781no—
1857C2×C4—1781no—
1858C2×C4—1781no—
1859C2×C4—1781no—
1860C2×C4—1781no—
1861C2×C4—1781no—
1862C2×C4—1781no—
1863C2×C4—1781no—
1864C2×C4—1781no—
1865C2×C4—1781no—
1866C2×C4—1781no—
1867C2×C4—1781no—
1868C2×C4—1781no—
1869C2×C4—7122no—
1870C2×C4—7122no—
1871C2×C4—7122no—
1872C2×C4—7122no—
1873C2×C4—7122no—
1874C2×C4—7122no—
1875C2×C4—7122no—
1876C2×C4—7122no—
1877C2×C4—7122no—
1878C2×C4C22×C4×D8912yes—
1879C2×C4C22×C4×D8912yes—
1880C2×C4C22×C4×D8912yes—
1881C22—22no—
1882C22—22no—
1883C22—22no—
1884C22—22no—
1885C22—22no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—416no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—894no—
1910C22—894no—
1911C22—35616no—
1912C22—35616no—
1913C22—35616no—
1914C22—35616no—
1915C22—35616no—
1916C22—35616no—
1917C22—3561no—
1918C22—3561no—
1919C22—3561no—
1920C22—3561no—
1921C22—3561no—
1922C22—3561no—
1923C22—3561no—
1924C22—3561no—
1925C22—3561no—
1926C22—3561no—
1927C22—3561no—
1928C22—3561no—
1929C22—1782no—
1930C22—1782no—
1931C22—1782no—
1932C22—1782no—
1933C22—1782no—
1934C22—1782no—
1935C22—1782no—
1936C22—1782no—
1937C22—1782no—
1938C22—1782no—
1939C22—1782no—
1940C22—1782no—
1941C22—1782no—
1942C22—1782no—
1943C22—1782no—
1944C22—1782no—
1945C22—1782no—
1946C22—1782no—
1947C22—1782no—
1948C22—1782no—
1949C22—1782no—
1950C22—7128no—
1951C22#1915207014yes—
1952C22C23×C4×D8911yescharacteristic
1953C22H(5,𝔽2)×D8911yescharacteristic
1954C22H(5,𝔽2)×D8911yescharacteristic
1955C22H(5,𝔽2)×D8911yescharacteristic
1956C22H(5,𝔽2)×D8911yescharacteristic
1957C22C2×#1566805711yescharacteristic
1958C22C2×#1566805811yescharacteristic
1959C4—22no—
1960C4—22no—
1961C4—22no—
1962C4—41no—
1963C4—41no—
1964C4—41no—
1965C4—41no—
1966C4—41no—
1967C4—41no—
1968C4—41no—
1969C4—41no—
1970C4—3561no—
1971C4—3561no—
1972C4—3561no—
1973C4—3561no—
1974C4—3561no—
1975C4—3561no—
1976C4—3561no—
1977C4—3561no—
1978C4—1782no—
1979C4—1782no—
1980C4—1782no—
1981C2—24no—
1982C2—42no—
1983C2—42no—
1984C2—42no—
1985C2—3562no—
1986C2—3562no—
1987C2—3562no—
1988C2—1784no—
1989C2—1784no—
1990C2#518×D8911yescharacteristic
1991C2#518×D8911yescharacteristic
1992C2C2×#1915207011yescharacteristic
1993C2#2603440311yescharacteristic
1994C2#2603440311yescharacteristic
1995C2#2603440411yescharacteristic
1996C2#2603440611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC89×#2321C2
socle, cosocleC23×C89C25
prime radicalC2×#120×D89C2
hypercenter#2321D89
hypocenterC89#34356
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #26023392C2semidirect
3. #26023392C2semidirect
4. #26023390C2semidirect
5. #26023389C2semidirect
6. #26023234C2semidirect
7. #26023232C2semidirect
8. #26023229C2semidirect
9. #26023228C2semidirect
10. #26023100C2semidirect
11. #26023099C2semidirect
12. #26023096C2semidirect
13. #26023095C2semidirect
14. #26023073C2semidirect
15. #26023070C2semidirect
16. #26023070C2semidirect
17. D4×#13083551C2semidirect
18. #26022914C2semidirect
19. #26022913C2semidirect
20. #26022911C2semidirect
21. #26022910C2semidirect
22. #26022908C2semidirect
23. #26022907C2semidirect
24. #26022905C2semidirect
25. #26022846C2semidirect
26. #26022846C2semidirect
27. #26022831C2semidirect
28. #26022826C2semidirect
29. C2×#19151453C2semidirect
30. #379×D89C2semidirect
31. C89×#2321C2semidirect
43. #120×D89C4semidirect
44. C2×C4×D356C22semidirect
45. C2×D4×Dic89C22semidirect
46. C2×#15667974C22semidirect
47. C2×C4×C22⋊D89C22semidirect
48. C2×C4×C22⋊D89C22semidirect
49. C2×#15667972C22semidirect
50. C2×#15667972C22semidirect
51. C2×#15667970C22semidirect
52. C2×#15667969C22semidirect
53. C22×C22⋊Dic89C22semidirect
56. C22×#13083551C22semidirect
57. C22×#13083551C22semidirect
58. C22×#13083551C22semidirect
64. C2×C22⋊C4×D89C22semidirect
65. C2×C22⋊C4×D89C22semidirect
66. C2×C22⋊C4×D89C22semidirect
67. C2×C22⋊C4×D89C22semidirect
68. C2×C22⋊C4×D89C22semidirect
69. #19151501C22semidirect
70. #19151501C22semidirect
71. #19151500C22semidirect
72. #19151500C22semidirect
73. #19151499C22semidirect
74. #19151499C22semidirect
75. #19151498C22semidirect
76. #19151498C22semidirect
77. #19151498C22semidirect
78. #19151498C22semidirect
79. #19151498C22semidirect
80. #19151498C22semidirect
81. #19151498C22semidirect
82. #19151498C22semidirect
83. #19151492C22semidirect
84. #19151492C22semidirect
85. #19151492C22semidirect
86. #19151492C22semidirect
87. #19151491C22semidirect
88. #19151491C22semidirect
89. #19151491C22semidirect
90. #19151491C22semidirect
91. #19151490C22semidirect
92. #19151490C22semidirect
93. #19151490C22semidirect
94. #19151490C22semidirect
95. #19151489C22semidirect
96. #19151489C22semidirect
97. #19151489C22semidirect
98. #19151489C22semidirect
99. #19151488C22semidirect
100. #19151488C22semidirect
101. #19151488C22semidirect
102. #19151488C22semidirect
103. #19151487C22semidirect
104. #19151487C22semidirect
105. #19151487C22semidirect
106. #19151487C22semidirect
107. #19151486C22semidirect
108. #19151486C22semidirect
109. #19151486C22semidirect
110. #19151486C22semidirect
111. #19151478C22semidirect
112. #19151478C22semidirect
113. #19151478C22semidirect
114. #19151477C22semidirect
115. #19151477C22semidirect
116. #19151477C22semidirect
117. #19151476C22semidirect
118. #19151476C22semidirect
119. #19151476C22semidirect
120. #19151476C22semidirect
121. #19151476C22semidirect
122. #19151476C22semidirect
123. #19151475C22semidirect
124. #19151475C22semidirect
125. #19151475C22semidirect
126. #19151474C22semidirect
127. #19151474C22semidirect
128. #19151474C22semidirect
129. #19151474C22semidirect
130. #19151474C22semidirect
131. #19151474C22semidirect
132. #19151473C22semidirect
133. #19151472C22semidirect
134. #19151472C22semidirect
135. #19151471C22semidirect
136. #19151470C22semidirect
137. #19151469C22semidirect
138. #19151469C22semidirect
139. #19151460C22semidirect
140. #19151460C22semidirect
141. #19151457C22semidirect
142. #19151457C22semidirect
143. #19151455C22semidirect
144. #19151455C22semidirect
145. #19151454C22semidirect
154. #19151453C22semidirect
155. #19151453C22semidirect
156. #19151453C22semidirect
157. #19151453C22semidirect
158. #19151453C22semidirect
159. #19151453C22semidirect
160. #19151453C22semidirect
161. #19151453C22semidirect
162. C22⋊C4×Dic89C22semidirect
163. C22⋊C4×Dic89C22semidirect
164. C4×#13083551C22semidirect
165. C4×#13083551C22semidirect
166. C4×#13083551C22semidirect
167. C4×#13083551C22semidirect
168. C4×C22⋊Dic89C22semidirect
169. #19151445C22semidirect
170. #19151445C22semidirect
171. #19151445C22semidirect
172. #19151445C22semidirect
174. C2×C4×D4×C89C22semidirect
175. C22×C22⋊C4×C89C22semidirect
176. #390×C89C22semidirect
177. #390×C89C22semidirect
178. #388×C89C22semidirect
179. #388×C89C22semidirect
180. #388×C89C22semidirect
181. #388×C89C22semidirect
182. #386×C89C22semidirect
183. #386×C89C22semidirect
184. #386×C89C22semidirect
185. #385×C89C22semidirect
186. #379×C89C22semidirect
187. C4×C22⋊C4×C89C22semidirect
194. C24×D89C2×C4semidirect
217. C2×D4×D89C2×C4semidirect
218. C2×D4×D89C2×C4semidirect
219. C2×D4×D89C2×C4semidirect
222. C23×Dic89C23semidirect
230. C22×C4×D89C23semidirect
231. C22×C4×D89C23semidirect
232. #15667982C2×C4semidirect
233. #15667982C2×C4semidirect
234. #15667982C2×C4semidirect
235. #15667981C2×C4semidirect
236. #15667980C2×C4semidirect
237. #15667980C2×C4semidirect
238. #15667980C2×C4semidirect
248. C2×C4⋊Dic89C23semidirect
249. C2×C4⋊Dic89C23semidirect
250. C2×C4⋊Dic89C23semidirect
251. C2×#13083553C23semidirect
252. C2×#13083553C23semidirect
253. C2×#13083553C23semidirect
254. C2×#13083553C23semidirect
255. C2×#13083553C23semidirect
256. C2×#13083553C23semidirect
271. C2×C22⋊Dic89C23semidirect
272. C2×C22⋊Dic89C23semidirect
273. C2×C22⋊Dic89C23semidirect
313. C2×#13083551C23semidirect
314. C2×#13083551C23semidirect
315. C2×#13083551C23semidirect
316. C2×#13083551C23semidirect
317. C2×#13083551C23semidirect
318. C2×#13083551C23semidirect
326. C22⋊C4×D89C2×C4semidirect
327. C22⋊C4×D89C2×C4semidirect
328. C22⋊C4×D89C2×C4semidirect
329. C2×C4×Dic89C23semidirect
330. C2×C4×Dic89C23semidirect
331. C2×C4×Dic89C23semidirect
332. C2×C4×Dic89C23semidirect
333. C2×C4×Dic89C23semidirect
334. C2×C4×Dic89C23semidirect
335. C2×C4×Dic89C23semidirect
336. C2×C4×Dic89C23semidirect
337. C2×C4×Dic89C23semidirect
338. #15667919C23semidirect
339. #15667919C23semidirect
340. #15667919C23semidirect
341. #15667919C23semidirect
342. #15667919C23semidirect
343. #15667919C23semidirect
344. #15667919C23semidirect
345. #15667919C23semidirect
346. #15667919C23semidirect
347. #15667919C23semidirect
348. #15667919C23semidirect
349. #15667919C23semidirect
350. #15667919C23semidirect
351. #15667919C23semidirect
352. #15667919C23semidirect
353. #15667919C23semidirect
354. #15667919C23semidirect
355. #15667919C23semidirect
362. C23×C4×C89C23semidirect
363. #120×C89C2×C4semidirect
365. C2×C4⋊C4×C89C23semidirect
366. C2×C4⋊C4×C89C23semidirect
367. C2×C4⋊C4×C89C23semidirect
382. C2×C22⋊C4×C89C23semidirect
383. C2×C22⋊C4×C89C23semidirect
384. C2×C22⋊C4×C89C23semidirect
385. C2×C42×C89C23semidirect
386. C2×C42×C89C23semidirect
387. C2×C42×C89C23semidirect
388. #95×C89C23semidirect
389. #95×C89C23semidirect
390. #95×C89C23semidirect
391. #95×C89C23semidirect
392. #95×C89C23semidirect
393. #95×C89C23semidirect
1023. #2321D89semidirect
1030. C89#34356semidirect
1051. C2×C4×D4C2×D89semidirect
1070. C22×C22⋊C4C2×D89semidirect
1085. #390C2×D89semidirect
1086. #390C2×D89semidirect
1115. #388C2×D89semidirect
1116. #388C2×D89semidirect
1117. #388C2×D89semidirect
1118. #388C2×D89semidirect
1140. #386C2×D89semidirect
1141. #386C2×D89semidirect
1142. #386C2×D89semidirect
1150. #385C2×D89semidirect
1174. #379C2×D89semidirect
1186. C4×C22⋊C4C2×D89semidirect
1237. C23×C4C22×D89semidirect
1245. #120C4×D89semidirect
1265. C2×C4⋊C4C22×D89semidirect
1266. C2×C4⋊C4C22×D89semidirect
1267. C2×C4⋊C4C22×D89semidirect
1354. C2×C22⋊C4C22×D89semidirect
1355. C2×C22⋊C4C22×D89semidirect
1356. C2×C22⋊C4C22×D89semidirect
1366. C2×C42C22×D89semidirect
1367. C2×C42C22×D89semidirect
1368. C2×C42C22×D89semidirect
1387. #95C22×D89semidirect
1388. #95C22×D89semidirect
1389. #95C22×D89semidirect
1390. #95C22×D89semidirect
1391. #95C22×D89semidirect
1392. #95C22×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#120×D892
#260233922
#260233902
#260233892
#260232342
#260232322
#260232292
#260232282
#260231002
#260230992
#260230962
#260230952
#260230732
#260230702
D4×#130835512
#260229142
#260229132
#260229112
#260229102
#260229082
#260229072
#260229052
#260228462
#260228312
#260228262
C2×#191514532
#379×D892
C89×#23212
#3435689