Finite Group Databasebeta

← #36761346

Subgroups — #36761346

Order 22784.

4170 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152156C211yesmaximal, characteristic, complemented
2C2×#120×D89C211yesmaximal, characteristic, complemented
3#26028530C211yesmaximal, characteristic, complemented
4#26028528C211yesmaximal, characteristic, complemented
5#26026817C211yesmaximal, characteristic, complemented
6#26026815C211yesmaximal, characteristic, complemented
7#26026812C211yesmaximal, characteristic, complemented
8#26026810C211yesmaximal, characteristic, complemented
9#26026587C211yesmaximal, characteristic, complemented
10#26026586C211yesmaximal, characteristic, complemented
11#26026585C211yesmaximal, characteristic, complemented
12#26026585C211yesmaximal, characteristic, complemented
13#26026580C211yesmaximal, characteristic, complemented
14#26026579C211yesmaximal, characteristic, complemented
15#26026578C211yesmaximal, characteristic, complemented
16#26026577C211yesmaximal, characteristic, complemented
17#26026572C211yesmaximal, characteristic, complemented
18#26026571C211yesmaximal, characteristic, complemented
19#26026570C211yesmaximal, characteristic, complemented
20#26026026C211yesmaximal, characteristic, complemented
21#26026024C211yesmaximal, characteristic, complemented
22#26023636C211yesmaximal, characteristic, complemented
23#26023634C211yesmaximal, characteristic, complemented
24#26023632C211yesmaximal, characteristic, complemented
25#26023630C211yesmaximal, characteristic, complemented
26#26023578C211yesmaximal, characteristic, complemented
27#26023576C211yesmaximal, characteristic, complemented
28#26023561C211yesmaximal, characteristic, complemented
29#26023561C211yesmaximal, characteristic, complemented
30#26022831C211yesmaximal, characteristic, complemented
31C89×#2678C211yesmaximal, characteristic, complemented
32C25×D89C2211yescharacteristic, complemented
33C22×D4×D89C2211yescharacteristic
34C22×D4×D89C2211yescharacteristic
35C22×D4×D89C2211yescharacteristic
36C22×D4×D89C2211yescharacteristic, complemented
37#19152156—28no—
38C2×#15667997C2211yescharacteristic, complemented
39C2×#15667997C2211yescharacteristic, complemented
40C2×#15667996C2211yescharacteristic, complemented
41C2×#15667995C2211yescharacteristic, complemented
42C2×#15667994C2211yescharacteristic, complemented
43C2×#15667994C2211yescharacteristic, complemented
44C2×#15667993C2211yescharacteristic, complemented
45C2×#15667986C2211yescharacteristic, complemented
46C2×#15667984C2211yescharacteristic, complemented
47C2×#15667984C2211yescharacteristic, complemented
48C2×#15667982C2211yescharacteristic
49C2×#15667982C2211yescharacteristic
50C2×#15667982C2211yescharacteristic
51C2×#15667982C2211yescharacteristic
52C2×#15667982C2211yescharacteristic
53C2×#15667982C2211yescharacteristic
54C2×#15667982C2211yescharacteristic, complemented
55C2×#15667982C2211yescharacteristic, complemented
56C2×#15667982C2211yescharacteristic, complemented
57C2×#15667982C2211yescharacteristic, complemented
58C2×#15667982C2211yescharacteristic, complemented
59C2×#15667982C2211yescharacteristic, complemented
60C2×#15667981C2211yescharacteristic
61C2×#15667981C2211yescharacteristic, complemented
62C2×#15667980C2211yescharacteristic
63C2×#15667980C2211yescharacteristic
64C2×#15667980C2211yescharacteristic
65C2×#15667980C2211yescharacteristic, complemented
66C2×#15667980C2211yescharacteristic, complemented
67C2×#15667980C2211yescharacteristic, complemented
68C2×#15667980C2211yescharacteristic, complemented
69C2×#15667980C2211yescharacteristic, complemented
70C2×#15667980C2211yescharacteristic, complemented
71C2×#15667980C2211yescharacteristic, complemented
72C2×#15667980C2211yescharacteristic, complemented
73C2×#15667980C2211yescharacteristic, complemented
74#120×D89—28no—
75C2×#15667970C2211yescharacteristic, complemented
76C2×#15667969C2211yescharacteristic, complemented
77C22×#13083551C2211yescharacteristic, complemented
78C2×C22⋊C4×D89C2211yescharacteristic, complemented
79C2×C22⋊C4×D89C2211yescharacteristic, complemented
80C2×C22⋊C4×D89C2211yescharacteristic, complemented
81#19151527C2211yescharacteristic, complemented
82#19151527C2211yescharacteristic, complemented
83#19151526C2211yescharacteristic, complemented
84#19151526C2211yescharacteristic, complemented
85#19151525C2211yescharacteristic, complemented
86#19151524C2211yescharacteristic, complemented
87#19151523C2211yescharacteristic, complemented
88#19151522C2211yescharacteristic, complemented
89#19151521C2211yescharacteristic, complemented
90#19151521C2211yescharacteristic, complemented
91#19151521C2211yescharacteristic, complemented
92#19151520C2211yescharacteristic, complemented
93#19151520C2211yescharacteristic, complemented
94#19151520C2211yescharacteristic, complemented
95#19151516C2211yescharacteristic, complemented
96#19151516C2211yescharacteristic, complemented
97#19151516C2211yescharacteristic, complemented
98#19151516C2211yescharacteristic, complemented
99#19151515C2211yescharacteristic, complemented
100#19151515C2211yescharacteristic, complemented
101#19151515C2211yescharacteristic, complemented
102#19151515C2211yescharacteristic, complemented
103#19151514C2211yescharacteristic, complemented
104#19151514C2211yescharacteristic, complemented
105#19151514C2211yescharacteristic, complemented
106#19151514C2211yescharacteristic, complemented
107#19151514C2211yescharacteristic, complemented
108#19151514C2211yescharacteristic, complemented
109#19151513C2211yescharacteristic, complemented
110#19151513C2211yescharacteristic, complemented
111#19151513C2211yescharacteristic, complemented
112#19151513C2211yescharacteristic, complemented
113#19151513C2211yescharacteristic, complemented
114#19151513C2211yescharacteristic, complemented
115#19151512C2211yescharacteristic, complemented
116#19151512C2211yescharacteristic, complemented
117#19151507C2211yescharacteristic, complemented
118#19151507C2211yescharacteristic, complemented
119#19151506C2211yescharacteristic, complemented
120#19151506C2211yescharacteristic, complemented
121#19151506C2211yescharacteristic, complemented
122#19151506C2211yescharacteristic, complemented
123#19151501C2211yescharacteristic, complemented
124#19151501C2211yescharacteristic, complemented
125#19151500C2211yescharacteristic, complemented
126#19151500C2211yescharacteristic, complemented
127#19151499C2211yescharacteristic, complemented
128#19151499C2211yescharacteristic, complemented
129#19151498C2211yescharacteristic, complemented
130#19151498C2211yescharacteristic, complemented
131#19151498C2211yescharacteristic, complemented
132#19151498C2211yescharacteristic, complemented
133#19151498C2211yescharacteristic, complemented
134#19151498C2211yescharacteristic, complemented
135#19151498C2211yescharacteristic, complemented
136#19151498C2211yescharacteristic, complemented
137#19151492C2211yescharacteristic, complemented
138#19151491C2211yescharacteristic, complemented
139#19151490C2211yescharacteristic, complemented
140#19151489C2211yescharacteristic, complemented
141#19151488C2211yescharacteristic, complemented
142#19151487C2211yescharacteristic, complemented
143#19151486C2211yescharacteristic, complemented
144#19151478C2211yescharacteristic, complemented
145#19151477C2211yescharacteristic, complemented
146#19151476C2211yescharacteristic, complemented
147#19151476C2211yescharacteristic, complemented
148#19151476C2211yescharacteristic, complemented
149#19151476C2211yescharacteristic, complemented
150#19151475C2211yescharacteristic, complemented
151#19151474C2211yescharacteristic, complemented
152#19151474C2211yescharacteristic, complemented
153#19151474C2211yescharacteristic, complemented
154#19151474C2211yescharacteristic, complemented
155#19151472C2211yescharacteristic, complemented
156#19151472C2211yescharacteristic, complemented
157#19151469C2211yescharacteristic, complemented
158#19151469C2211yescharacteristic, complemented
159#19151454C2211yescharacteristic, complemented
160#19151453C2211yescharacteristic, complemented
161#19151453C2211yescharacteristic, complemented
162#19151453C2211yescharacteristic, complemented
163#19151453C2211yescharacteristic, complemented
164#19151453C2211yescharacteristic, complemented
165#19151453C2211yescharacteristic, complemented
166#19151453C2211yescharacteristic, complemented
167#19151453C2211yescharacteristic, complemented
168#19151453C2211yescharacteristic, complemented
169#19151453C2211yescharacteristic, complemented
170#19151453C2211yescharacteristic, complemented
171#19151453C2211yescharacteristic, complemented
172#19151453C2211yescharacteristic, complemented
173#19151453C2211yescharacteristic, complemented
174C2×#123×C89C2211yescharacteristic, complemented
175C2×#121×C89C2211yescharacteristic, complemented
176C2×#120×C89C2211yescharacteristic, complemented
177C2×#120×C89C2211yescharacteristic, complemented
178#397×C89C2211yescharacteristic, complemented
179#396×C89C2211yescharacteristic, complemented
180#394×C89C2211yescharacteristic, complemented
181#394×C89C2211yescharacteristic, complemented
182#392×C89C2211yescharacteristic, complemented
183#392×C89C2211yescharacteristic, complemented
184#390×C89C2211yescharacteristic, complemented
185#390×C89C2211yescharacteristic, complemented
186#388×C89C2211yescharacteristic, complemented
187#386×C89C2211yescharacteristic, complemented
188#379×C89C2211yescharacteristic, complemented
189C24×D89—24no—
190C24×D89—42no—
191C24×D89—42no—
192C24×D89—42no—
193C24×D89—42no—
194C24×D89—42no—
195C24×D89—42no—
196C24×D89C2311yescharacteristic
197C24×D89C2311yescharacteristic
198C24×D89C2311yescharacteristic
199C24×D89C2311yescharacteristic
200C24×D89C2311yescharacteristic
201C24×D89C2311yescharacteristic
202C24×D89C2311yescharacteristic
203C24×D89C2311yescharacteristic, complemented
204C22×D356C2311yescharacteristic
205C22×D356C2311yescharacteristic
206C22×D356C2311yescharacteristic
207C22×D356C2311yescharacteristic
208C22×D356C2311yescharacteristic
209C22×D356C2311yescharacteristic
210C22×D356C2311yescharacteristic
211C22×C22⋊D89C2311yescharacteristic
212C22×C22⋊D89C2311yescharacteristic
213C22×C22⋊D89C2311yescharacteristic
214C22×C22⋊D89C2311yescharacteristic
215C22×C22⋊D89C2311yescharacteristic
216C22×C22⋊D89C2311yescharacteristic
217C22×C22⋊D89C2311yescharacteristic
218C22×C22⋊D89C2311yescharacteristic
219C22×C22⋊D89C2311yescharacteristic
220C22×C22⋊D89C2311yescharacteristic
221C22×C22⋊D89C2311yescharacteristic
222C22×C22⋊D89C2311yescharacteristic
223C22×C22⋊D89C2311yescharacteristic
224C22×C22⋊D89C2311yescharacteristic, complemented
225C2×D4×D89—24no—
226C2×D4×D89—24no—
227C2×D4×D89—24no—
228C2×D4×D89—42no—
229C2×D4×D89—42no—
230C2×D4×D89—42no—
231C2×D4×D89—42no—
232C2×D4×D89—42no—
233C2×D4×D89—42no—
234C2×D4×D89—42no—
235C2×D4×D89—42no—
236C2×D4×D89D418yescomplemented
237C23×Dic89C2311yescharacteristic, complemented
238C22×C4×D89C2311yescharacteristic
239C22×C4×D89C2311yescharacteristic
240C22×C4×D89C2311yescharacteristic
241C22×C4×D89C2311yescharacteristic, complemented
242#15667997—24no—
243#15667997—24no—
244#15667996—42no—
245#15667995—42no—
246#15667994—24no—
247#15667994—24no—
248#15667993—42no—
249#15667986—24no—
250#15667984—24no—
251#15667984—24no—
252#15667982—24no—
253#15667982—24no—
254#15667982—24no—
255#15667982—24no—
256#15667982—24no—
257#15667982—42no—
258#15667982—42no—
259#15667982—42no—
260#15667982—42no—
261#15667982—42no—
262#15667982—42no—
263#15667982—42no—
264#15667981—24no—
265#15667981—42no—
266#15667980—24no—
267#15667980—24no—
268#15667980—24no—
269#15667980—24no—
270#15667980—24no—
271#15667980—42no—
272#15667980—42no—
273#15667980—42no—
274#15667980—42no—
275#15667980—42no—
276#15667980—42no—
277#15667980—42no—
278#15667970—42no—
279#15667969—42no—
280C2×C4⋊Dic89C2311yescharacteristic, complemented
281C2×C4⋊Dic89C2311yescharacteristic, complemented
282C2×C4⋊Dic89C2311yescharacteristic, complemented
283C2×C4⋊Dic89C2311yescharacteristic, complemented
284C2×#13083553C2311yescharacteristic, complemented
285C2×#13083553C2311yescharacteristic, complemented
286C2×#13083553C2311yescharacteristic, complemented
287C2×#13083553C2311yescharacteristic, complemented
288C2×#13083553C2311yescharacteristic, complemented
289C2×#13083553C2311yescharacteristic, complemented
290C2×#13083553C2311yescharacteristic, complemented
291C2×#13083553C2311yescharacteristic, complemented
292C2×C22⋊Dic89C2311yescharacteristic
293C2×C22⋊Dic89C2311yescharacteristic
294C2×C22⋊Dic89C2311yescharacteristic
295C2×C22⋊Dic89C2311yescharacteristic
296C2×C22⋊Dic89C2311yescharacteristic
297C2×C22⋊Dic89C2311yescharacteristic
298C2×C22⋊Dic89C2311yescharacteristic
299C2×C22⋊Dic89C2311yescharacteristic
300C2×C22⋊Dic89C2311yescharacteristic
301C2×C22⋊Dic89C2311yescharacteristic
302C2×C22⋊Dic89C2311yescharacteristic
303C2×C22⋊Dic89C2311yescharacteristic
304C2×C22⋊Dic89C2311yescharacteristic, complemented
305C2×C22⋊Dic89C2311yescharacteristic, complemented
306C2×C22⋊Dic89C2311yescharacteristic, complemented
307C2×C22⋊Dic89C2311yescharacteristic, complemented
308C2×C22⋊Dic89C2311yescharacteristic, complemented
309C2×#13083551—24no—
310C2×#13083551C2311yescharacteristic
311C2×#13083551C2311yescharacteristic
312C2×#13083551C2311yescharacteristic
313C2×#13083551C2311yescharacteristic
314C2×#13083551C2311yescharacteristic
315C2×#13083551C2311yescharacteristic
316C2×#13083551C2311yescharacteristic
317C2×#13083551C2311yescharacteristic
318C2×#13083551C2311yescharacteristic
319C2×#13083551C2311yescharacteristic
320C2×#13083551C2311yescharacteristic
321C2×#13083551C2311yescharacteristic
322C2×#13083551C2311yescharacteristic
323C2×#13083551C2311yescharacteristic
324C2×#13083551C2311yescharacteristic
325C2×#13083551C2311yescharacteristic
326C2×#13083551C2311yescharacteristic
327C2×#13083551C2311yescharacteristic
328C2×#13083551C2311yescharacteristic
329C2×#13083551C2311yescharacteristic
330C2×#13083551C2311yescharacteristic
331C2×#13083551C2311yescharacteristic
332C2×#13083551C2311yescharacteristic
333C2×#13083551C2311yescharacteristic
334C2×#13083551C2311yescharacteristic
335C2×#13083551C2311yescharacteristic
336C2×#13083551C2311yescharacteristic
337C2×#13083551C2311yescharacteristic
338C2×#13083551C2311yescharacteristic
339C2×#13083551C2311yescharacteristic
340C2×#13083551C2311yescharacteristic, complemented
341C2×#13083551C2311yescharacteristic, complemented
342C2×#13083551C2311yescharacteristic, complemented
343C2×#13083551C2311yescharacteristic, complemented
344C2×#13083551C2311yescharacteristic, complemented
345C2×#13083551C2311yescharacteristic, complemented
346C2×#13083551C2311yescharacteristic, complemented
347C2×#13083551C2311yescharacteristic, complemented
348C2×#13083551C2311yescharacteristic, complemented
349C2×#13083551C2311yescharacteristic, complemented
350C2×#13083551C2311yescharacteristic, complemented
351C2×#13083551C2311yescharacteristic, complemented
352C22⋊C4×D89—24no—
353C22⋊C4×D89—24no—
354C22⋊C4×D89—24no—
355C2×C4×Dic89C2311yescharacteristic, complemented
356C2×C4×Dic89C2311yescharacteristic, complemented
357C2×C4×Dic89C2311yescharacteristic, complemented
358#15667919C2311yescharacteristic, complemented
359#15667919C2311yescharacteristic, complemented
360#15667919C2311yescharacteristic, complemented
361#15667919C2311yescharacteristic, complemented
362#15667919C2311yescharacteristic, complemented
363#15667919C2311yescharacteristic, complemented
364#15667919C2311yescharacteristic, complemented
365#15667919C2311yescharacteristic, complemented
366#15667919C2311yescharacteristic, complemented
367#15667919C2311yescharacteristic, complemented
368#15667919C2311yescharacteristic, complemented
369#15667919C2311yescharacteristic, complemented
370C25×C89C2311yescharacteristic
371C22×D4×C89C2311yescharacteristic
372C22×D4×C89C2311yescharacteristic
373C22×D4×C89C2311yescharacteristic
374C22×D4×C89C2311yescharacteristic
375C22×D4×C89C2311yescharacteristic
376C22×D4×C89C2311yescharacteristic
377C22×D4×C89C2311yescharacteristic, complemented
378C23×C4×C89C2311yescharacteristic, complemented
379#123×C89—42no—
380#121×C89—24no—
381#120×C89—24no—
382#120×C89—42no—
383C2×C4⋊C4×C89C2311yescharacteristic, complemented
384C2×C4⋊C4×C89C2311yescharacteristic, complemented
385C2×C4⋊C4×C89C2311yescharacteristic, complemented
386C2×C4⋊C4×C89C2311yescharacteristic, complemented
387C2×C22⋊C4×C89C2311yescharacteristic
388C2×C22⋊C4×C89C2311yescharacteristic
389C2×C22⋊C4×C89C2311yescharacteristic
390C2×C22⋊C4×C89C2311yescharacteristic
391C2×C22⋊C4×C89C2311yescharacteristic
392C2×C22⋊C4×C89C2311yescharacteristic
393C2×C22⋊C4×C89C2311yescharacteristic
394C2×C22⋊C4×C89C2311yescharacteristic
395C2×C22⋊C4×C89C2311yescharacteristic
396C2×C22⋊C4×C89C2311yescharacteristic
397C2×C22⋊C4×C89C2311yescharacteristic
398C2×C22⋊C4×C89C2311yescharacteristic
399C2×C22⋊C4×C89C2311yescharacteristic, complemented
400C2×C22⋊C4×C89C2311yescharacteristic, complemented
401C2×C22⋊C4×C89C2311yescharacteristic, complemented
402C2×C22⋊C4×C89C2311yescharacteristic, complemented
403C2×C22⋊C4×C89C2311yescharacteristic, complemented
404C2×C42×C89C2311yescharacteristic, complemented
405#95×C89C2311yescharacteristic, complemented
406#95×C89C2311yescharacteristic, complemented
407#95×C89C2311yescharacteristic, complemented
408#95×C89C2311yescharacteristic, complemented
409C23×D89—22no—
410C23×D89—22no—
411C23×D89—22no—
412C23×D89—22no—
413C23×D89—22no—
414C23×D89—22no—
415C23×D89—22no—
416C23×D89—22no—
417C23×D89—22no—
418C23×D89—22no—
419C23×D89—22no—
420C23×D89—22no—
421C23×D89—22no—
422C23×D89—22no—
423C23×D89—22no—
424C23×D89—22no—
425C23×D89—22no—
426C23×D89—22no—
427C23×D89—22no—
428C23×D89—22no—
429C23×D89—22no—
430C23×D89—22no—
431C23×D89—22no—
432C23×D89—22no—
433C23×D89—41no—
434C23×D89—41no—
435C23×D89—41no—
436C23×D89—41no—
437C23×D89—41no—
438C23×D89—41no—
439C23×D89—41no—
440C23×D89—41no—
441C23×D89—41no—
442C23×D89—41no—
443C23×D89—41no—
444C23×D89—41no—
445C23×D89—41no—
446C23×D89—41no—
447C23×D89—41no—
448C23×D89—41no—
449C23×D89—41no—
450C23×D89—41no—
451C23×D89—41no—
452C23×D89—41no—
453C23×D89—41no—
454C23×D89—41no—
455C23×D89—41no—
456C23×D89—41no—
457C23×D89—41no—
458C23×D89—41no—
459C23×D89—41no—
460C23×D89—41no—
461C23×D89—41no—
462C23×D89—41no—
463C23×D89—416no—
464C23×D89—416no—
465C23×D89—416no—
466C23×D89—416no—
467C23×D89—416no—
468C23×D89—416no—
469C23×D89—416no—
470C23×D89C2×D414yes—
471C23×D89C2×D414yes—
472C23×D89C2411yescharacteristic
473C23×D89C2411yescharacteristic
474C23×D89C2411yescharacteristic
475C23×D89C2411yescharacteristic
476C23×D89C2411yescharacteristic
477C23×D89C2411yescharacteristic
478C2×D356—22no—
479C2×D356—22no—
480C2×D356—22no—
481C2×D356—22no—
482C2×D356—22no—
483C2×D356—22no—
484C2×D356—22no—
485C2×D356—22no—
486C2×D356—22no—
487C2×D356—22no—
488C2×D356—41no—
489C2×D356—41no—
490C2×D356—41no—
491C2×D356—41no—
492C2×D356—41no—
493C2×D356—41no—
494C2×D356—41no—
495C2×D356—41no—
496C2×D356—41no—
497C2×D356—41no—
498C2×D356C2×D414yes—
499C2×C22⋊D89—22no—
500C2×C22⋊D89—22no—
501C2×C22⋊D89—22no—
502C2×C22⋊D89—22no—
503C2×C22⋊D89—22no—
504C2×C22⋊D89—22no—
505C2×C22⋊D89—22no—
506C2×C22⋊D89—22no—
507C2×C22⋊D89—22no—
508C2×C22⋊D89—22no—
509C2×C22⋊D89—22no—
510C2×C22⋊D89—22no—
511C2×C22⋊D89—22no—
512C2×C22⋊D89—22no—
513C2×C22⋊D89—22no—
514C2×C22⋊D89—22no—
515C2×C22⋊D89—22no—
516C2×C22⋊D89—22no—
517C2×C22⋊D89—41no—
518C2×C22⋊D89—41no—
519C2×C22⋊D89—41no—
520C2×C22⋊D89—41no—
521C2×C22⋊D89—41no—
522C2×C22⋊D89—41no—
523C2×C22⋊D89—41no—
524C2×C22⋊D89—41no—
525C2×C22⋊D89—41no—
526C2×C22⋊D89—41no—
527C2×C22⋊D89—41no—
528C2×C22⋊D89—41no—
529C2×C22⋊D89—41no—
530C2×C22⋊D89—41no—
531C2×C22⋊D89—41no—
532C2×C22⋊D89—41no—
533C2×C22⋊D89—41no—
534C2×C22⋊D89—41no—
535C2×C22⋊D89—41no—
536C2×C22⋊D89—41no—
537C2×C22⋊D89—41no—
538C2×C22⋊D89—41no—
539C2×C22⋊D89C2×D414yes—
540C2×C22⋊D89C2×D414yes—
541D4×D89—416no—
542D4×D89—416no—
543D4×D89—416no—
544D4×D89—416no—
545C22×Dic89—22no—
546C22×Dic89—41no—
547C22×Dic89—41no—
548C22×Dic89C2411yescharacteristic
549C22×Dic89C2411yescharacteristic
550C22×Dic89C2411yescharacteristic
551C22×Dic89C2411yescharacteristic
552C22×Dic89C2411yescharacteristic
553C22×Dic89C2411yescharacteristic
554C22×Dic89C2411yescharacteristic
555C22×Dic89C2411yescharacteristic
556C22×Dic89C2411yescharacteristic
557C22×Dic89C2411yescharacteristic
558C2×C4×D89—22no—
559C2×C4×D89—22no—
560C2×C4×D89—22no—
561C2×C4×D89—22no—
562C2×C4×D89—22no—
563C2×C4×D89—41no—
564C2×C4×D89—41no—
565C2×C4×D89—41no—
566C2×C4×D89—41no—
567C2×C4×D89—41no—
568C2×C4×D89—41no—
569C2×C4×D89C2×D414yes—
570C4⋊Dic89—22no—
571C4⋊Dic89—41no—
572C4⋊Dic89—41no—
573C4⋊Dic89—41no—
574#13083553—22no—
575#13083553—22no—
576#13083553—41no—
577#13083553—41no—
578#13083553—41no—
579#13083553—41no—
580#13083553—41no—
581#13083553—41no—
582C22⋊Dic89—22no—
583C22⋊Dic89—22no—
584C22⋊Dic89—22no—
585C22⋊Dic89—22no—
586C22⋊Dic89—22no—
587C22⋊Dic89—22no—
588C22⋊Dic89—22no—
589C22⋊Dic89—41no—
590C22⋊Dic89—41no—
591C22⋊Dic89—41no—
592C22⋊Dic89—41no—
593C22⋊Dic89—41no—
594C22⋊Dic89—41no—
595C22⋊Dic89—41no—
596C22⋊Dic89—41no—
597C22⋊Dic89—41no—
598C22⋊Dic89—41no—
599#13083551—22no—
600#13083551—22no—
601#13083551—22no—
602#13083551—22no—
603#13083551—22no—
604#13083551—22no—
605#13083551—22no—
606#13083551—22no—
607#13083551—22no—
608#13083551—22no—
609#13083551—22no—
610#13083551—22no—
611#13083551—22no—
612#13083551—22no—
613#13083551—22no—
614#13083551—22no—
615#13083551—22no—
616#13083551—22no—
617#13083551—22no—
618#13083551—22no—
619#13083551—22no—
620#13083551—22no—
621#13083551—41no—
622#13083551—41no—
623#13083551—41no—
624#13083551—41no—
625#13083551—41no—
626#13083551—41no—
627#13083551—41no—
628#13083551—41no—
629#13083551—41no—
630#13083551—41no—
631#13083551—41no—
632#13083551—41no—
633#13083551—41no—
634#13083551—41no—
635#13083551—41no—
636#13083551—41no—
637#13083551—41no—
638#13083551—41no—
639#13083551—41no—
640#13083551—41no—
641C4×Dic89—41no—
642C4×Dic89—41no—
643C4×Dic89—41no—
644C24×C89—22no—
645C24×C89—22no—
646C24×C89—22no—
647C24×C89—41no—
648C24×C89—41no—
649C24×C89—41no—
650C24×C89—41no—
651C24×C89C2411yescharacteristic
652C24×C89C2411yescharacteristic
653C24×C89C2411yescharacteristic
654C24×C89C2411yescharacteristic
655C24×C89C2411yescharacteristic
656C2×D4×C89—22no—
657C2×D4×C89—22no—
658C2×D4×C89—22no—
659C2×D4×C89—22no—
660C2×D4×C89—22no—
661C2×D4×C89—22no—
662C2×D4×C89—22no—
663C2×D4×C89—22no—
664C2×D4×C89—41no—
665C2×D4×C89—41no—
666C2×D4×C89—41no—
667C2×D4×C89—41no—
668C2×D4×C89—41no—
669C2×D4×C89—41no—
670C2×D4×C89—41no—
671C2×D4×C89—41no—
672C2×D4×C89—41no—
673C2×D4×C89—41no—
674C2×D4×C89—41no—
675C2×D4×C89—41no—
676C2×D4×C89C2×D414yes—
677C22×C4×C89—22no—
678C22×C4×C89—41no—
679C22×C4×C89—41no—
680C22×C4×C89C2411yescharacteristic
681C22×C4×C89C2411yescharacteristic
682C22×C4×C89C2411yescharacteristic
683C22×C4×C89C2411yescharacteristic
684C22×C4×C89C2411yescharacteristic
685C22×C4×C89C2411yescharacteristic
686C22×C4×C89C2411yescharacteristic
687C22×C4×C89C2411yescharacteristic
688C22×C4×C89C2411yescharacteristic
689C22×C4×C89C2411yescharacteristic
690C4⋊C4×C89—22no—
691C4⋊C4×C89—41no—
692C4⋊C4×C89—41no—
693C4⋊C4×C89—41no—
694C22⋊C4×C89—22no—
695C22⋊C4×C89—22no—
696C22⋊C4×C89—22no—
697C22⋊C4×C89—22no—
698C22⋊C4×C89—22no—
699C22⋊C4×C89—22no—
700C22⋊C4×C89—22no—
701C22⋊C4×C89—41no—
702C22⋊C4×C89—41no—
703C22⋊C4×C89—41no—
704C22⋊C4×C89—41no—
705C22⋊C4×C89—41no—
706C22⋊C4×C89—41no—
707C22⋊C4×C89—41no—
708C22⋊C4×C89—41no—
709C22⋊C4×C89—41no—
710C22⋊C4×C89—41no—
711C42×C89—41no—
712C23×C89—21no—
713C23×C89—21no—
714C23×C89—21no—
715C23×C89—21no—
716C23×C89—21no—
717C23×C89—21no—
718C23×C89—21no—
719C23×C89—21no—
720C23×C89—21no—
721C23×C89—21no—
722C23×C89—21no—
723C23×C89—21no—
724C23×C89—21no—
725C23×C89—21no—
726C23×C89—21no—
727C23×C89—21no—
728C23×C89—21no—
729C23×C89—21no—
730C23×C89—21no—
731C23×C89—21no—
732C23×C89—21no—
733C23×C89—21no—
734C23×C89—21no—
735C23×C89—21no—
736C23×C89—21no—
737C23×C89—21no—
738C23×C89—21no—
739C23×C89—21no—
740C23×C89—21no—
741C23×C89—21no—
742C23×C89—21no—
743C23×C89—44no—
744C23×C89—44no—
745C23×C89—44no—
746C23×C89—44no—
747C23×C89—44no—
748C23×C89—44no—
749C23×C89—44no—
750C23×C89C22×D412yes—
751C23×C89C22×D412yes—
752C23×C89H(5,𝔽2)12yes—
753C23×C89H(5,𝔽2)12yes—
754C23×C89C2511yescharacteristic
755C22×D89—21no—
756C22×D89—21no—
757C22×D89—21no—
758C22×D89—21no—
759C22×D89—28no—
760C22×D89—28no—
761C22×D89—21no—
762C22×D89—21no—
763C22×D89—21no—
764C22×D89—21no—
765C22×D89—21no—
766C22×D89—21no—
767C22×D89—21no—
768C22×D89—21no—
769C22×D89—21no—
770C22×D89—21no—
771C22×D89—21no—
772C22×D89—21no—
773C22×D89—21no—
774C22×D89—21no—
775C22×D89—21no—
776C22×D89—21no—
777C22×D89—21no—
778C22×D89—21no—
779C22×D89—21no—
780C22×D89—21no—
781C22×D89—21no—
782C22×D89—21no—
783C22×D89—21no—
784C22×D89—21no—
785C22×D89—28no—
786C22×D89—28no—
787C22×D89—21no—
788C22×D89—21no—
789C22×D89—21no—
790C22×D89—21no—
791C22×D89—21no—
792C22×D89—21no—
793C22×D89—21no—
794C22×D89—44no—
795C22×D89—44no—
796C22×D89—44no—
797C22×D89—44no—
798C22×D89—44no—
799C22×D89—44no—
800C22×D89—44no—
801C22×D89—44no—
802C22×D89—44no—
803C22×D89—44no—
804C22×D89—44no—
805C22×D89—44no—
806C22×D89—44no—
807C22×D89—44no—
808C22×D89—44no—
809C22×D89—44no—
810C22×D89—44no—
811C22×D89—44no—
812C22×D89—44no—
813C22×D89—44no—
814C22×D89—44no—
815C22×D89—44no—
816C22×D89—44no—
817C22×D89—44no—
818C22×D89—44no—
819C22×D89—44no—
820C22×D89—44no—
821C22×D89—44no—
822C22×D89—44no—
823C22×D89—44no—
824C22×D89—44no—
825C22×D89—44no—
826C22×D89—44no—
827C22×D89—44no—
828C22×D89—44no—
829C22×D89—44no—
830C22×D89—44no—
831C22×D89—4128no—
832C22×D89—44no—
833C22×D89—44no—
834C22×D89—44no—
835C22×D89—44no—
836C22×D89—44no—
837C22×D89—82no—
838C22×D89—82no—
839C22×D89—82no—
840C22×D89—82no—
841C22×D89—82no—
842C22×D89—82no—
843C22×D89—82no—
844C22×D89—82no—
845C22×D89—82no—
846C22×D89—82no—
847C22×D89C22×D412yes—
848C22×D89C22×D412yes—
849C22×D89C22×D412yes—
850C22×D89H(5,𝔽2)12yes—
851C22×D89H(5,𝔽2)12yes—
852C22×D89H(5,𝔽2)12yes—
853C22×D89H(5,𝔽2)12yes—
854D4×C89—44no—
855D4×C89—44no—
856D4×C89—44no—
857D4×C89—44no—
858D4×C89—82no—
859D4×C89—82no—
860D4×C89—82no—
861C2×C4×C89—21no—
862C2×C4×C89—21no—
863C2×C4×C89—21no—
864C2×C4×C89—21no—
865C2×C4×C89—21no—
866C2×C4×C89—21no—
867C2×C4×C89—21no—
868C2×C4×C89—21no—
869C2×C4×C89—21no—
870C2×C4×C89—21no—
871C2×C4×C89—21no—
872C2×C4×C89—21no—
873C2×C4×C89—21no—
874C2×C4×C89—21no—
875C2×C4×C89—21no—
876C2×C4×C89—21no—
877C2×C4×C89—21no—
878C2×C4×C89—21no—
879C2×C4×C89—21no—
880C2×C4×C89—21no—
881C2×C4×C89—21no—
882C2×C4×C89—21no—
883C2×C4×C89—21no—
884C2×C4×C89—21no—
885C2×C4×C89—21no—
886C2×C4×C89—21no—
887C2×C4×C89—21no—
888C2×C4×C89—21no—
889C2×C4×C89—21no—
890C2×C4×C89—82no—
891C2×C4×C89C22×D412yes—
892C22⋊D89—44no—
893C22⋊D89—44no—
894C22⋊D89—44no—
895C22⋊D89—44no—
896C22⋊D89—44no—
897C22⋊D89—44no—
898C22⋊D89—44no—
899C22⋊D89—44no—
900C22⋊D89—82no—
901C22⋊D89—82no—
902C22⋊D89—82no—
903C22⋊D89—82no—
904C22⋊D89—82no—
905C22⋊D89—82no—
906C2×Dic89—21no—
907C2×Dic89—21no—
908C2×Dic89—21no—
909C2×Dic89—21no—
910C2×Dic89—21no—
911C2×Dic89—21no—
912C2×Dic89—21no—
913C2×Dic89—21no—
914C2×Dic89—21no—
915C2×Dic89—21no—
916C2×Dic89—21no—
917C2×Dic89—21no—
918C2×Dic89—21no—
919C2×Dic89—21no—
920C2×Dic89—21no—
921C2×Dic89—21no—
922C2×Dic89—21no—
923C2×Dic89—21no—
924C2×Dic89—21no—
925C2×Dic89—21no—
926C2×Dic89—21no—
927C2×Dic89—21no—
928C2×Dic89—21no—
929C2×Dic89—21no—
930C2×Dic89—21no—
931C2×Dic89—21no—
932C2×Dic89—21no—
933C2×Dic89—21no—
934C2×Dic89—21no—
935C2×Dic89—82no—
936C2×Dic89C22×D412yes—
937D356—44no—
938D356—44no—
939D356—44no—
940D356—44no—
941D356—82no—
942D356—82no—
943D356—82no—
944C4×D89—28no—
945C4×D89—44no—
946C4×D89—44no—
947C4×D89—44no—
948C22×C89—22no—
949C22×C89—22no—
950C22×C89—22no—
951C22×C89—22no—
952C22×C89—22no—
953C22×C89—22no—
954C22×C89—22no—
955C22×C89—22no—
956C22×C89—22no—
957C22×C89—22no—
958C22×C89—22no—
959C22×C89—22no—
960C22×C89—416no—
961C22×C89—41no—
962C22×C89—41no—
963C22×C89—41no—
964C22×C89—41no—
965C22×C89—41no—
966C22×C89—41no—
967C22×C89—41no—
968C22×C89—41no—
969C22×C89—41no—
970C22×C89—41no—
971C22×C89—41no—
972C22×C89—41no—
973C22×C89—41no—
974C22×C89—41no—
975C22×C89—41no—
976C22×C89—41no—
977C22×C89—41no—
978C22×C89—41no—
979C22×C89—41no—
980C22×C89—41no—
981C22×C89—41no—
982C22×C89—41no—
983C22×C89—41no—
984C22×C89C23×D411yescharacteristic
985C22×C89C2×H(5,𝔽2)11yescharacteristic
986C22×C89C2×H(5,𝔽2)11yescharacteristic
987C22×C89C2×H(5,𝔽2)11yescharacteristic
988C22×C89C2×H(5,𝔽2)11yescharacteristic
989C22×C89C2×H(5,𝔽2)11yescharacteristic
990C22×C89C2×H(5,𝔽2)11yescharacteristic
991C2×D89—22no—
992C2×D89—22no—
993C2×D89—22no—
994C2×D89—22no—
995C2×D89—22no—
996C2×D89—22no—
997C2×D89—22no—
998C2×D89—22no—
999C2×D89—22no—
1000C2×D89—22no—
1001C2×D89—22no—
1002C2×D89—22no—
1003C2×D89—22no—
1004C2×D89—22no—
1005C2×D89—22no—
1006C2×D89—22no—
1007C2×D89—22no—
1008C2×D89—22no—
1009C2×D89—416no—
1010C2×D89—416no—
1011C2×D89—416no—
1012C2×D89—416no—
1013C2×D89—416no—
1014C2×D89—416no—
1015C2×D89—41no—
1016C2×D89—41no—
1017C2×D89—41no—
1018C2×D89—41no—
1019C2×D89—41no—
1020C2×D89—41no—
1021C2×D89—41no—
1022C2×D89—41no—
1023C2×D89—41no—
1024C2×D89—41no—
1025C2×D89—41no—
1026C2×D89—41no—
1027C2×D89—41no—
1028C2×D89—41no—
1029C2×D89—41no—
1030C2×D89—41no—
1031C2×D89—41no—
1032C2×D89—41no—
1033C2×D89—41no—
1034C2×D89—41no—
1035C2×D89—41no—
1036C2×D89—41no—
1037C2×D89—41no—
1038C2×D89—88no—
1039C2×D89—88no—
1040C2×D89#53414yes—
1041C4×C89—22no—
1042C4×C89—41no—
1043C4×C89—41no—
1044C4×C89—41no—
1045C4×C89—41no—
1046C4×C89—41no—
1047C4×C89—41no—
1048C4×C89—41no—
1049C4×C89—41no—
1050C4×C89—41no—
1051Dic89—22no—
1052Dic89—41no—
1053Dic89—41no—
1054Dic89—41no—
1055Dic89—41no—
1056Dic89—41no—
1057Dic89—41no—
1058Dic89—41no—
1059Dic89—41no—
1060Dic89—41no—
1061#36714—891nomaximal, Sylow
1062C2×C89—42no—
1063C2×C89—42no—
1064C2×C89—42no—
1065C2×C89—42no—
1066C2×C89—81no—
1067C2×C89C2×#53411yescharacteristic
1068C2×C89#348411yescharacteristic
1069C2×C89#348411yescharacteristic
1070C2×C89#353211yescharacteristic
1071C2×C89#353211yescharacteristic
1072C2×C89#353211yescharacteristic
1073C2×C89#353211yescharacteristic
1074D89—24no—
1075D89—42no—
1076D89—42no—
1077D89—42no—
1078D89—42no—
1079D89—81no—
1080C2×#534—891no—
1081C22×#120—891no—
1082#2846—891no—
1083#2846—891no—
1084#2697—891no—
1085#2697—891no—
1086#2697—891no—
1087#2697—891no—
1088#2679—891no—
1089#2679—891no—
1090#2679—891no—
1091#2679—891no—
1092#2678—891no—
1093#2678—891no—
1094#2678—891no—
1095#2678—891no—
1096#2678—891no—
1097#2678—891no—
1098#2678—891no—
1099#2678D8911yescharacteristic, complemented
1100#2622—891no—
1101#2622—891no—
1102#2411—891no—
1103#2411—891no—
1104#2411—891no—
1105#2411—891no—
1106#2405—891no—
1107#2405—891no—
1108#2403—891no—
1109#2403—891no—
1110#2309—891no—
1111C89#3671411yescharacteristic, complemented, Sylow
1112C26—891no—
1113C23×D4—891no—
1114C23×D4—891no—
1115C23×D4—891no—
1116C23×D4—891no—
1117#534—1788no—
1118C2×#123—891no—
1119C2×#123—891no—
1120C2×#123—891no—
1121C2×#123—891no—
1122C2×#123—891no—
1123C2×#123—891no—
1124C2×#123—891no—
1125C2×#123C2×D8911yescharacteristic, complemented
1126C2×#121—891no—
1127C2×#121—891no—
1128C2×#121—891no—
1129C2×#121C2×D8911yescharacteristic, complemented
1130C2×#120—891no—
1131C2×#120—891no—
1132C2×#120—891no—
1133C2×#120—891no—
1134C2×#120—891no—
1135C2×#120—891no—
1136C2×#120—891no—
1137C2×#120—891no—
1138C2×#120—891no—
1139C2×#120—891no—
1140C2×#120—891no—
1141C2×#120—891no—
1142C2×#120—891no—
1143C2×#120—891no—
1144C2×#120—891no—
1145C2×#120—891no—
1146C2×#120—891no—
1147C2×#120—891no—
1148C2×#120—891no—
1149C2×#120—891no—
1150C2×#120—891no—
1151C2×#120—891no—
1152C2×#120—891no—
1153C2×#120—891no—
1154C2×#120—891no—
1155C2×#120—891no—
1156C2×#120—1788no—
1157C2×#120C2×D8911yescharacteristic, complemented
1158C2×#120C2×D8911yescharacteristic, complemented
1159C2×#117—891no—
1160C2×#117—891no—
1161C22×C22⋊C4—891no—
1162C22×C22⋊C4—891no—
1163C22×C22⋊C4—891no—
1164C22×C22⋊C4—891no—
1165#397—891no—
1166#397—891no—
1167#397—891no—
1168#397—891no—
1169#397—891no—
1170#397—891no—
1171#397—891no—
1172#397C2×D8911yescharacteristic, complemented
1173#396—891no—
1174#396—891no—
1175#396—891no—
1176#396—891no—
1177#396—891no—
1178#396—891no—
1179#396—891no—
1180#396C2×D8911yescharacteristic, complemented
1181#394—891no—
1182#394—891no—
1183#394—891no—
1184#394—891no—
1185#394—891no—
1186#394—891no—
1187#394—891no—
1188#394—891no—
1189#394—891no—
1190#394—891no—
1191#394—891no—
1192#394—891no—
1193#394—891no—
1194#394—891no—
1195#394—891no—
1196#394—891no—
1197#394—891no—
1198#394—891no—
1199#394—891no—
1200#394—891no—
1201#394—891no—
1202#394—891no—
1203#394C2×D8911yescharacteristic, complemented
1204#394C2×D8911yescharacteristic, complemented
1205#392—891no—
1206#392—891no—
1207#392—891no—
1208#392—891no—
1209#392—891no—
1210#392—891no—
1211#392C2×D8911yescharacteristic, complemented
1212#392C2×D8911yescharacteristic, complemented
1213#390—891no—
1214#390—891no—
1215#390—891no—
1216#390—891no—
1217#390—891no—
1218#390—891no—
1219#390—891no—
1220#390—891no—
1221#390—891no—
1222#390—891no—
1223#390—891no—
1224#390—891no—
1225#390—891no—
1226#390—891no—
1227#390C2×D8911yescharacteristic, complemented
1228#390C2×D8911yescharacteristic, complemented
1229#388—891no—
1230#388—891no—
1231#388—891no—
1232#388—891no—
1233#388—891no—
1234#388—891no—
1235#388—891no—
1236#388C2×D8911yescharacteristic, complemented
1237#386—891no—
1238#386—891no—
1239#386—891no—
1240#386—891no—
1241#386—891no—
1242#386—891no—
1243#386—891no—
1244#386—891no—
1245#386—891no—
1246#386—891no—
1247#386—891no—
1248#386C2×D8911yescharacteristic, complemented
1249#385—891no—
1250#385—891no—
1251#385—891no—
1252#385—891no—
1253#379—891no—
1254#379—891no—
1255#379—891no—
1256#379—891no—
1257#379—891no—
1258#379—891no—
1259#379—891no—
1260#379—891no—
1261#379—891no—
1262#379—891no—
1263#379—891no—
1264#379—891no—
1265#379—891no—
1266#379—891no—
1267#379—891no—
1268#379C2×D8911yescharacteristic, complemented
1269C25—891no—
1270C25—891no—
1271C25—891no—
1272C25—891no—
1273C25—891no—
1274C25—891no—
1275C25—891no—
1276C25—891no—
1277C25—3562no—
1278C25—3562no—
1279C25—3562no—
1280C25—3562no—
1281C25—3562no—
1282C25—3562no—
1283C25—1784no—
1284C25C22×D8911yescharacteristic
1285C22×D4—891no—
1286C22×D4—891no—
1287C22×D4—898no—
1288C22×D4—891no—
1289C22×D4—891no—
1290C22×D4—891no—
1291C22×D4—891no—
1292C22×D4—891no—
1293C22×D4—891no—
1294C22×D4—891no—
1295C22×D4—891no—
1296C22×D4—891no—
1297C22×D4—891no—
1298C22×D4—891no—
1299C22×D4—891no—
1300C22×D4—891no—
1301C22×D4—891no—
1302C22×D4—891no—
1303C22×D4—891no—
1304C22×D4—891no—
1305C22×D4—891no—
1306C22×D4—891no—
1307C22×D4—3562no—
1308C22×D4—3562no—
1309C22×D4—3562no—
1310C22×D4—3562no—
1311C22×D4—3562no—
1312C22×D4—3562no—
1313C22×D4—3562no—
1314C22×D4—3562no—
1315C22×D4—1784no—
1316C22×D4—1784no—
1317C22×D4—1784no—
1318C22×D4C22×D8911yescharacteristic
1319C22×D4C22×D8911yescharacteristic
1320C22×D4C22×D8911yescharacteristic
1321C22×D4C22×D8911yescharacteristic
1322C22×D4C22×D8911yescharacteristic
1323C22×D4C22×D8911yescharacteristic
1324C22×D4C22×D8911yescharacteristic, complemented
1325C23×C4—891no—
1326C23×C4—891no—
1327C23×C4—891no—
1328C23×C4—891no—
1329C23×C4—891no—
1330C23×C4C22×D8911yescharacteristic, complemented
1331#123—42no—
1332#123—3562no—
1333#123—3562no—
1334#123—3562no—
1335#123—1784no—
1336#123—1784no—
1337#123—1784no—
1338#123—1784no—
1339#121—24no—
1340#121—1784no—
1341#121—1784no—
1342#121—1784no—
1343#120—24no—
1344#120—42no—
1345#120—3562no—
1346#120—3562no—
1347#120—3562no—
1348#120—3562no—
1349#120—3562no—
1350#120—3562no—
1351#120—3562no—
1352#120—3562no—
1353#120—3562no—
1354#120—3562no—
1355#120—3562no—
1356#120—3562no—
1357#120—3562no—
1358#120—3562no—
1359#120—3562no—
1360#120—1784no—
1361#120—1784no—
1362#120—1784no—
1363#120—1784no—
1364#120—1784no—
1365#120—1784no—
1366#120—1784no—
1367#120—1784no—
1368#120—1784no—
1369#120—1784no—
1370#120—1784no—
1371#117—3562no—
1372#117—3562no—
1373C2×C4⋊C4—891no—
1374C2×C4⋊C4—891no—
1375C2×C4⋊C4—891no—
1376C2×C4⋊C4—891no—
1377C2×C4⋊C4—891no—
1378C2×C4⋊C4—891no—
1379C2×C4⋊C4—891no—
1380C2×C4⋊C4—891no—
1381C2×C4⋊C4—891no—
1382C2×C4⋊C4—891no—
1383C2×C4⋊C4—891no—
1384C2×C4⋊C4—891no—
1385C2×C4⋊C4C22×D8911yescharacteristic, complemented
1386C2×C4⋊C4C22×D8911yescharacteristic, complemented
1387C2×C4⋊C4C22×D8911yescharacteristic, complemented
1388C2×C4⋊C4C22×D8911yescharacteristic, complemented
1389C2×C22⋊C4—891no—
1390C2×C22⋊C4—891no—
1391C2×C22⋊C4—891no—
1392C2×C22⋊C4—891no—
1393C2×C22⋊C4—891no—
1394C2×C22⋊C4—891no—
1395C2×C22⋊C4—891no—
1396C2×C22⋊C4—891no—
1397C2×C22⋊C4—891no—
1398C2×C22⋊C4—891no—
1399C2×C22⋊C4—891no—
1400C2×C22⋊C4—891no—
1401C2×C22⋊C4—891no—
1402C2×C22⋊C4—891no—
1403C2×C22⋊C4—891no—
1404C2×C22⋊C4—891no—
1405C2×C22⋊C4—891no—
1406C2×C22⋊C4—891no—
1407C2×C22⋊C4—891no—
1408C2×C22⋊C4—891no—
1409C2×C22⋊C4—891no—
1410C2×C22⋊C4—891no—
1411C2×C22⋊C4—891no—
1412C2×C22⋊C4—891no—
1413C2×C22⋊C4—891no—
1414C2×C22⋊C4—891no—
1415C2×C22⋊C4—891no—
1416C2×C22⋊C4—891no—
1417C2×C22⋊C4—891no—
1418C2×C22⋊C4—891no—
1419C2×C22⋊C4—891no—
1420C2×C22⋊C4—891no—
1421C2×C22⋊C4—891no—
1422C2×C22⋊C4—891no—
1423C2×C22⋊C4—891no—
1424C2×C22⋊C4—891no—
1425C2×C22⋊C4—891no—
1426C2×C22⋊C4—891no—
1427C2×C22⋊C4—891no—
1428C2×C22⋊C4—891no—
1429C2×C22⋊C4—891no—
1430C2×C22⋊C4—891no—
1431C2×C22⋊C4—891no—
1432C2×C22⋊C4—891no—
1433C2×C22⋊C4—891no—
1434C2×C22⋊C4—891no—
1435C2×C22⋊C4—891no—
1436C2×C22⋊C4—891no—
1437C2×C22⋊C4—891no—
1438C2×C22⋊C4—891no—
1439C2×C22⋊C4—891no—
1440C2×C22⋊C4—891no—
1441C2×C22⋊C4—891no—
1442C2×C22⋊C4—891no—
1443C2×C22⋊C4—891no—
1444C2×C22⋊C4—891no—
1445C2×C22⋊C4—891no—
1446C2×C22⋊C4—891no—
1447C2×C22⋊C4—891no—
1448C2×C22⋊C4—1784no—
1449C2×C22⋊C4—1784no—
1450C2×C22⋊C4—1784no—
1451C2×C22⋊C4—1784no—
1452C2×C22⋊C4C22×D8911yescharacteristic
1453C2×C22⋊C4C22×D8911yescharacteristic
1454C2×C22⋊C4C22×D8911yescharacteristic
1455C2×C22⋊C4C22×D8911yescharacteristic
1456C2×C22⋊C4C22×D8911yescharacteristic
1457C2×C22⋊C4C22×D8911yescharacteristic
1458C2×C22⋊C4C22×D8911yescharacteristic
1459C2×C22⋊C4C22×D8911yescharacteristic
1460C2×C22⋊C4C22×D8911yescharacteristic
1461C2×C22⋊C4C22×D8911yescharacteristic
1462C2×C22⋊C4C22×D8911yescharacteristic
1463C2×C22⋊C4C22×D8911yescharacteristic
1464C2×C22⋊C4C22×D8911yescharacteristic, complemented
1465C2×C22⋊C4C22×D8911yescharacteristic, complemented
1466C2×C22⋊C4C22×D8911yescharacteristic, complemented
1467C2×C22⋊C4C22×D8911yescharacteristic, complemented
1468C2×C22⋊C4C22×D8911yescharacteristic, complemented
1469C2×C42—891no—
1470C2×C42—891no—
1471C2×C42—891no—
1472C2×C42C22×D8911yescharacteristic, complemented
1473#95—891no—
1474#95—891no—
1475#95—891no—
1476#95—891no—
1477#95—891no—
1478#95—891no—
1479#95—891no—
1480#95—891no—
1481#95—891no—
1482#95—891no—
1483#95—891no—
1484#95—891no—
1485#95C22×D8911yescharacteristic, complemented
1486#95C22×D8911yescharacteristic, complemented
1487#95C22×D8911yescharacteristic, complemented
1488#95C22×D8911yescharacteristic, complemented
1489C24—22no—
1490C24—22no—
1491C24—22no—
1492C24—41no—
1493C24—41no—
1494C24—41no—
1495C24—41no—
1496C24—891no—
1497C24—894no—
1498C24—894no—
1499C24—891no—
1500C24—891no—
1501C24—891no—
1502C24—891no—
1503C24—891no—
1504C24—3561no—
1505C24—3561no—
1506C24—3561no—
1507C24—3561no—
1508C24—3561no—
1509C24—3561no—
1510C24—3561no—
1511C24—3561no—
1512C24—3561no—
1513C24—3561no—
1514C24—3561no—
1515C24—3561no—
1516C24—3561no—
1517C24—3561no—
1518C24—3561no—
1519C24—3561no—
1520C24—3561no—
1521C24—3561no—
1522C24—3561no—
1523C24—3561no—
1524C24—3561no—
1525C24—3561no—
1526C24—3561no—
1527C24—3561no—
1528C24—3561no—
1529C24—3561no—
1530C24—3561no—
1531C24—3561no—
1532C24—3561no—
1533C24—3561no—
1534C24—35616no—
1535C24—35616no—
1536C24—35616no—
1537C24—35616no—
1538C24—35616no—
1539C24—35616no—
1540C24—35616no—
1541C24—1782no—
1542C24—1782no—
1543C24—1782no—
1544C24—1782no—
1545C24—1782no—
1546C24—1782no—
1547C24—1782no—
1548C24—1782no—
1549C24—1782no—
1550C24—1782no—
1551C24—1782no—
1552C24—1782no—
1553C24—1782no—
1554C24—1782no—
1555C24—1782no—
1556C24—1782no—
1557C24—1782no—
1558C24—1782no—
1559C24—1782no—
1560C24—1782no—
1561C24—1782no—
1562C24—1782no—
1563C24—1782no—
1564C24—1782no—
1565C24C23×D8911yescharacteristic
1566C24C23×D8911yescharacteristic
1567C24C23×D8911yescharacteristic
1568C24C23×D8911yescharacteristic
1569C24C23×D8911yescharacteristic
1570C2×D4—22no—
1571C2×D4—22no—
1572C2×D4—22no—
1573C2×D4—22no—
1574C2×D4—22no—
1575C2×D4—22no—
1576C2×D4—22no—
1577C2×D4—22no—
1578C2×D4—41no—
1579C2×D4—41no—
1580C2×D4—41no—
1581C2×D4—41no—
1582C2×D4—41no—
1583C2×D4—41no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—41no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—41no—
1590C2×D4—894no—
1591C2×D4—894no—
1592C2×D4—894no—
1593C2×D4—3561no—
1594C2×D4—3561no—
1595C2×D4—3561no—
1596C2×D4—3561no—
1597C2×D4—3561no—
1598C2×D4—3561no—
1599C2×D4—3561no—
1600C2×D4—3561no—
1601C2×D4—3561no—
1602C2×D4—3561no—
1603C2×D4—35616no—
1604C2×D4—35616no—
1605C2×D4—35616no—
1606C2×D4—35616no—
1607C2×D4—3561no—
1608C2×D4—3561no—
1609C2×D4—3561no—
1610C2×D4—3561no—
1611C2×D4—3561no—
1612C2×D4—3561no—
1613C2×D4—3561no—
1614C2×D4—3561no—
1615C2×D4—3561no—
1616C2×D4—3561no—
1617C2×D4—3561no—
1618C2×D4—3561no—
1619C2×D4—3561no—
1620C2×D4—3561no—
1621C2×D4—3561no—
1622C2×D4—3561no—
1623C2×D4—3561no—
1624C2×D4—3561no—
1625C2×D4—3561no—
1626C2×D4—3561no—
1627C2×D4—3561no—
1628C2×D4—3561no—
1629C2×D4—1782no—
1630C2×D4—1782no—
1631C2×D4—1782no—
1632C2×D4—1782no—
1633C2×D4—1782no—
1634C2×D4—1782no—
1635C2×D4—1782no—
1636C2×D4—1782no—
1637C2×D4—1782no—
1638C2×D4—1782no—
1639C2×D4—1782no—
1640C2×D4—1782no—
1641C2×D4—1782no—
1642C2×D4—1782no—
1643C2×D4—1782no—
1644C2×D4—1782no—
1645C2×D4—1782no—
1646C2×D4—1782no—
1647C2×D4—1782no—
1648C2×D4—1782no—
1649C2×D4—1782no—
1650C2×D4—1782no—
1651C2×D4—1782no—
1652C2×D4—1782no—
1653C2×D4—1782no—
1654C2×D4—1782no—
1655C2×D4—1782no—
1656C2×D4—1782no—
1657C2×D4D4×D8914yes—
1658C22×C4—22no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—891no—
1662C22×C4—894no—
1663C22×C4—891no—
1664C22×C4—891no—
1665C22×C4—891no—
1666C22×C4—891no—
1667C22×C4—891no—
1668C22×C4—891no—
1669C22×C4—891no—
1670C22×C4—891no—
1671C22×C4—891no—
1672C22×C4—3561no—
1673C22×C4—3561no—
1674C22×C4—3561no—
1675C22×C4—3561no—
1676C22×C4—3561no—
1677C22×C4—3561no—
1678C22×C4—3561no—
1679C22×C4—3561no—
1680C22×C4—1782no—
1681C22×C4—1782no—
1682C22×C4—1782no—
1683C22×C4—1782no—
1684C22×C4—1782no—
1685C22×C4—1782no—
1686C22×C4C23×D8911yescharacteristic
1687C22×C4C23×D8911yescharacteristic
1688C22×C4C23×D8911yescharacteristic
1689C22×C4C23×D8911yescharacteristic
1690C22×C4C23×D8911yescharacteristic
1691C22×C4C23×D8911yescharacteristic
1692C22×C4C23×D8911yescharacteristic
1693C22×C4C23×D8911yescharacteristic
1694C22×C4C23×D8911yescharacteristic
1695C22×C4C23×D8911yescharacteristic
1696C4⋊C4—22no—
1697C4⋊C4—41no—
1698C4⋊C4—41no—
1699C4⋊C4—41no—
1700C4⋊C4—3561no—
1701C4⋊C4—3561no—
1702C4⋊C4—3561no—
1703C4⋊C4—3561no—
1704C4⋊C4—3561no—
1705C4⋊C4—3561no—
1706C4⋊C4—3561no—
1707C4⋊C4—3561no—
1708C4⋊C4—3561no—
1709C4⋊C4—1782no—
1710C4⋊C4—1782no—
1711C4⋊C4—1782no—
1712C22⋊C4—22no—
1713C22⋊C4—22no—
1714C22⋊C4—22no—
1715C22⋊C4—22no—
1716C22⋊C4—22no—
1717C22⋊C4—22no—
1718C22⋊C4—22no—
1719C22⋊C4—41no—
1720C22⋊C4—41no—
1721C22⋊C4—41no—
1722C22⋊C4—41no—
1723C22⋊C4—41no—
1724C22⋊C4—41no—
1725C22⋊C4—41no—
1726C22⋊C4—41no—
1727C22⋊C4—41no—
1728C22⋊C4—41no—
1729C22⋊C4—3561no—
1730C22⋊C4—3561no—
1731C22⋊C4—3561no—
1732C22⋊C4—3561no—
1733C22⋊C4—3561no—
1734C22⋊C4—3561no—
1735C22⋊C4—3561no—
1736C22⋊C4—3561no—
1737C22⋊C4—3561no—
1738C22⋊C4—3561no—
1739C22⋊C4—3561no—
1740C22⋊C4—3561no—
1741C22⋊C4—3561no—
1742C22⋊C4—3561no—
1743C22⋊C4—3561no—
1744C22⋊C4—3561no—
1745C22⋊C4—3561no—
1746C22⋊C4—3561no—
1747C22⋊C4—3561no—
1748C22⋊C4—3561no—
1749C22⋊C4—3561no—
1750C22⋊C4—3561no—
1751C22⋊C4—3561no—
1752C22⋊C4—3561no—
1753C22⋊C4—3561no—
1754C22⋊C4—3561no—
1755C22⋊C4—3561no—
1756C22⋊C4—3561no—
1757C22⋊C4—3561no—
1758C22⋊C4—3561no—
1759C22⋊C4—1782no—
1760C22⋊C4—1782no—
1761C22⋊C4—1782no—
1762C22⋊C4—1782no—
1763C22⋊C4—1782no—
1764C22⋊C4—1782no—
1765C22⋊C4—1782no—
1766C22⋊C4—1782no—
1767C22⋊C4—1782no—
1768C22⋊C4—1782no—
1769C22⋊C4—1782no—
1770C22⋊C4—1782no—
1771C22⋊C4—1782no—
1772C22⋊C4—1782no—
1773C22⋊C4—1782no—
1774C22⋊C4—1782no—
1775C22⋊C4—1782no—
1776C22⋊C4—1782no—
1777C22⋊C4—1782no—
1778C22⋊C4—1782no—
1779C22⋊C4—1782no—
1780C22⋊C4—1782no—
1781C22⋊C4—1782no—
1782C22⋊C4—1782no—
1783C22⋊C4—1782no—
1784C22⋊C4—1782no—
1785C22⋊C4—1782no—
1786C22⋊C4—1782no—
1787C22⋊C4—1782no—
1788C42—41no—
1789C42—3561no—
1790C42—3561no—
1791C42—3561no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—21no—
1807C23—21no—
1808C23—21no—
1809C23—21no—
1810C23—21no—
1811C23—21no—
1812C23—21no—
1813C23—21no—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—21no—
1818C23—21no—
1819C23—21no—
1820C23—21no—
1821C23—21no—
1822C23—21no—
1823C23—44no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—44no—
1828C23—44no—
1829C23—44no—
1830C23—892no—
1831C23—892no—
1832C23—892no—
1833C23—892no—
1834C23—892no—
1835C23—892no—
1836C23—892no—
1837C23—3564no—
1838C23—3564no—
1839C23—3564no—
1840C23—3564no—
1841C23—3564no—
1842C23—3564no—
1843C23—3564no—
1844C23—3564no—
1845C23—3564no—
1846C23—3564no—
1847C23—3564no—
1848C23—3564no—
1849C23—3564no—
1850C23—3564no—
1851C23—3564no—
1852C23—3564no—
1853C23—3564no—
1854C23—3564no—
1855C23—3564no—
1856C23—356128no—
1857C23—3564no—
1858C23—3564no—
1859C23—3564no—
1860C23—3564no—
1861C23—3564no—
1862C23—3564no—
1863C23—3564no—
1864C23—3564no—
1865C23—3564no—
1866C23—3564no—
1867C23—3564no—
1868C23—3564no—
1869C23—3564no—
1870C23—3564no—
1871C23—3564no—
1872C23—3564no—
1873C23—3564no—
1874C23—3564no—
1875C23—3564no—
1876C23—3564no—
1877C23—3564no—
1878C23—3564no—
1879C23—3564no—
1880C23—1788no—
1881C23—1788no—
1882C23—1788no—
1883C23—1788no—
1884C23—1781no—
1885C23—1781no—
1886C23—1781no—
1887C23—1781no—
1888C23—1781no—
1889C23—1781no—
1890C23—1781no—
1891C23—1781no—
1892C23—1781no—
1893C23—1781no—
1894C23—1781no—
1895C23—1781no—
1896C23—1781no—
1897C23—1781no—
1898C23—1781no—
1899C23—1781no—
1900C23—1781no—
1901C23—1781no—
1902C23—1781no—
1903C23—1781no—
1904C23—1781no—
1905C23—1781no—
1906C23—1781no—
1907C23—1781no—
1908C23—1781no—
1909C23—1781no—
1910C23—1781no—
1911C23—1781no—
1912C23—1781no—
1913C23—1781no—
1914C23—1781no—
1915C23—1781no—
1916C23—1781no—
1917C23—1781no—
1918C23—1781no—
1919C23—7122no—
1920C23—7122no—
1921C23—7122no—
1922C23—7122no—
1923C23—7122no—
1924C23—7122no—
1925C23—7122no—
1926C23—7122no—
1927C23—7122no—
1928C23—7122no—
1929C23C2×D4×D8912yes—
1930C23C2×D4×D8912yes—
1931C23#1566805712yes—
1932C23#1566805812yes—
1933C23C24×D8911yescharacteristic
1934D4—44no—
1935D4—44no—
1936D4—44no—
1937D4—44no—
1938D4—82no—
1939D4—82no—
1940D4—82no—
1941D4—3564no—
1942D4—3564no—
1943D4—3564no—
1944D4—3564no—
1945D4—3564no—
1946D4—3564no—
1947D4—3564no—
1948D4—3564no—
1949D4—3564no—
1950D4—3564no—
1951D4—3564no—
1952D4—3564no—
1953D4—7122no—
1954D4—7122no—
1955D4—7122no—
1956D4—7122no—
1957D4—7122no—
1958D4—7122no—
1959D4—7122no—
1960D4—7122no—
1961D4—7122no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—82no—
1992C2×C4—892no—
1993C2×C4—3564no—
1994C2×C4—3564no—
1995C2×C4—3564no—
1996C2×C4—1788no—
1997C2×C4—1781no—
1998C2×C4—1781no—
1999C2×C4—1781no—
2000C2×C4—1781no—
2001C2×C4—1781no—
2002C2×C4—1781no—
2003C2×C4—1781no—
2004C2×C4—1781no—
2005C2×C4—1781no—
2006C2×C4—1781no—
2007C2×C4—1781no—
2008C2×C4—1781no—
2009C2×C4—1781no—
2010C2×C4—1781no—
2011C2×C4—1781no—
2012C2×C4—1781no—
2013C2×C4—1781no—
2014C2×C4—1781no—
2015C2×C4—1781no—
2016C2×C4—1781no—
2017C2×C4—1781no—
2018C2×C4—1781no—
2019C2×C4—1781no—
2020C2×C4—1781no—
2021C2×C4—1781no—
2022C2×C4—1781no—
2023C2×C4—1781no—
2024C2×C4—1781no—
2025C2×C4—1781no—
2026C2×C4—7122no—
2027C2×C4C2×D4×D8912yes—
2028C22—22no—
2029C22—22no—
2030C22—22no—
2031C22—22no—
2032C22—22no—
2033C22—22no—
2034C22—22no—
2035C22—22no—
2036C22—22no—
2037C22—22no—
2038C22—22no—
2039C22—22no—
2040C22—416no—
2041C22—41no—
2042C22—41no—
2043C22—41no—
2044C22—41no—
2045C22—41no—
2046C22—41no—
2047C22—41no—
2048C22—41no—
2049C22—41no—
2050C22—41no—
2051C22—41no—
2052C22—41no—
2053C22—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—41no—
2060C22—41no—
2061C22—41no—
2062C22—41no—
2063C22—41no—
2064C22—894no—
2065C22—35616no—
2066C22—35616no—
2067C22—35616no—
2068C22—35616no—
2069C22—35616no—
2070C22—35616no—
2071C22—3561no—
2072C22—3561no—
2073C22—3561no—
2074C22—3561no—
2075C22—3561no—
2076C22—3561no—
2077C22—3561no—
2078C22—3561no—
2079C22—3561no—
2080C22—3561no—
2081C22—3561no—
2082C22—3561no—
2083C22—3561no—
2084C22—3561no—
2085C22—3561no—
2086C22—3561no—
2087C22—3561no—
2088C22—3561no—
2089C22—3561no—
2090C22—3561no—
2091C22—3561no—
2092C22—3561no—
2093C22—3561no—
2094C22—1782no—
2095C22—1782no—
2096C22—1782no—
2097C22—1782no—
2098C22—1782no—
2099C22—1782no—
2100C22—1782no—
2101C22—1782no—
2102C22—1782no—
2103C22—1782no—
2104C22—1782no—
2105C22—1782no—
2106C22—1782no—
2107C22—1782no—
2108C22—1782no—
2109C22—1782no—
2110C22—1782no—
2111C22—1782no—
2112C22—7128no—
2113C22—7128no—
2114C22C22×D4×D8911yescharacteristic
2115C22H(5,𝔽2)×D8911yescharacteristic
2116C22H(5,𝔽2)×D8911yescharacteristic
2117C22H(5,𝔽2)×D8911yescharacteristic
2118C22H(5,𝔽2)×D8911yescharacteristic
2119C22C2×#1566805711yescharacteristic
2120C22C2×#1566805811yescharacteristic
2121C4—22no—
2122C4—41no—
2123C4—41no—
2124C4—41no—
2125C4—41no—
2126C4—41no—
2127C4—41no—
2128C4—41no—
2129C4—41no—
2130C4—41no—
2131C4—3561no—
2132C4—3561no—
2133C4—3561no—
2134C4—3561no—
2135C4—3561no—
2136C4—3561no—
2137C4—3561no—
2138C4—3561no—
2139C4—3561no—
2140C4—1782no—
2141C2—42no—
2142C2—42no—
2143C2—42no—
2144C2—42no—
2145C2—81no—
2146C2—3562no—
2147C2—3562no—
2148C2—3562no—
2149C2—3562no—
2150C2—1784no—
2151C2—7121no—
2152C2#534×D8911yescharacteristic
2153C2#2603388011yescharacteristic
2154C2#2603388211yescharacteristic
2155C2#2603440111yescharacteristic
2156C2#2603440311yescharacteristic
2157C2#2603440511yescharacteristic
2158C2#2603440611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2678C2
hypercenter#2678D89
hypocenterC89#36714
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#19152156C2semidirect
2. C2×#120×D89C2semidirect
3. #26028530C2semidirect
4. #26028528C2semidirect
5. #26026817C2semidirect
6. #26026815C2semidirect
7. #26026812C2semidirect
8. #26026810C2semidirect
9. #26026587C2semidirect
10. #26026586C2semidirect
11. #26026585C2semidirect
12. #26026585C2semidirect
13. #26026580C2semidirect
14. #26026579C2semidirect
15. #26026578C2semidirect
16. #26026577C2semidirect
17. #26026572C2semidirect
18. #26026571C2semidirect
19. #26026570C2semidirect
20. #26026026C2semidirect
21. #26026024C2semidirect
22. #26023636C2semidirect
23. #26023634C2semidirect
24. #26023632C2semidirect
25. #26023630C2semidirect
26. #26023578C2semidirect
27. #26023576C2semidirect
28. #26023561C2semidirect
29. #26023561C2semidirect
30. #26022831C2semidirect
31. C89×#2678C2semidirect
32. C25×D89C22semidirect
36. C22×D4×D89C22semidirect
38. C2×#15667997C22semidirect
39. C2×#15667997C22semidirect
40. C2×#15667996C22semidirect
41. C2×#15667995C22semidirect
42. C2×#15667994C22semidirect
43. C2×#15667994C22semidirect
44. C2×#15667993C22semidirect
45. C2×#15667986C22semidirect
46. C2×#15667984C22semidirect
47. C2×#15667984C22semidirect
54. C2×#15667982C22semidirect
55. C2×#15667982C22semidirect
56. C2×#15667982C22semidirect
57. C2×#15667982C22semidirect
58. C2×#15667982C22semidirect
59. C2×#15667982C22semidirect
61. C2×#15667981C22semidirect
65. C2×#15667980C22semidirect
66. C2×#15667980C22semidirect
67. C2×#15667980C22semidirect
68. C2×#15667980C22semidirect
69. C2×#15667980C22semidirect
70. C2×#15667980C22semidirect
71. C2×#15667980C22semidirect
72. C2×#15667980C22semidirect
73. C2×#15667980C22semidirect
75. C2×#15667970C22semidirect
76. C2×#15667969C22semidirect
77. C22×#13083551C22semidirect
78. C2×C22⋊C4×D89C22semidirect
79. C2×C22⋊C4×D89C22semidirect
80. C2×C22⋊C4×D89C22semidirect
81. #19151527C22semidirect
82. #19151527C22semidirect
83. #19151526C22semidirect
84. #19151526C22semidirect
85. #19151525C22semidirect
86. #19151524C22semidirect
87. #19151523C22semidirect
88. #19151522C22semidirect
89. #19151521C22semidirect
90. #19151521C22semidirect
91. #19151521C22semidirect
92. #19151520C22semidirect
93. #19151520C22semidirect
94. #19151520C22semidirect
95. #19151516C22semidirect
96. #19151516C22semidirect
97. #19151516C22semidirect
98. #19151516C22semidirect
99. #19151515C22semidirect
100. #19151515C22semidirect
101. #19151515C22semidirect
102. #19151515C22semidirect
103. #19151514C22semidirect
104. #19151514C22semidirect
105. #19151514C22semidirect
106. #19151514C22semidirect
107. #19151514C22semidirect
108. #19151514C22semidirect
109. #19151513C22semidirect
110. #19151513C22semidirect
111. #19151513C22semidirect
112. #19151513C22semidirect
113. #19151513C22semidirect
114. #19151513C22semidirect
115. #19151512C22semidirect
116. #19151512C22semidirect
117. #19151507C22semidirect
118. #19151507C22semidirect
119. #19151506C22semidirect
120. #19151506C22semidirect
121. #19151506C22semidirect
122. #19151506C22semidirect
123. #19151501C22semidirect
124. #19151501C22semidirect
125. #19151500C22semidirect
126. #19151500C22semidirect
127. #19151499C22semidirect
128. #19151499C22semidirect
129. #19151498C22semidirect
130. #19151498C22semidirect
131. #19151498C22semidirect
132. #19151498C22semidirect
133. #19151498C22semidirect
134. #19151498C22semidirect
135. #19151498C22semidirect
136. #19151498C22semidirect
137. #19151492C22semidirect
138. #19151491C22semidirect
139. #19151490C22semidirect
140. #19151489C22semidirect
141. #19151488C22semidirect
142. #19151487C22semidirect
143. #19151486C22semidirect
144. #19151478C22semidirect
145. #19151477C22semidirect
146. #19151476C22semidirect
147. #19151476C22semidirect
148. #19151476C22semidirect
149. #19151476C22semidirect
150. #19151475C22semidirect
151. #19151474C22semidirect
152. #19151474C22semidirect
153. #19151474C22semidirect
154. #19151474C22semidirect
155. #19151472C22semidirect
156. #19151472C22semidirect
157. #19151469C22semidirect
158. #19151469C22semidirect
159. #19151454C22semidirect
160. #19151453C22semidirect
161. #19151453C22semidirect
162. #19151453C22semidirect
163. #19151453C22semidirect
164. #19151453C22semidirect
165. #19151453C22semidirect
166. #19151453C22semidirect
167. #19151453C22semidirect
168. #19151453C22semidirect
169. #19151453C22semidirect
170. #19151453C22semidirect
171. #19151453C22semidirect
172. #19151453C22semidirect
173. #19151453C22semidirect
174. C2×#123×C89C22semidirect
175. C2×#121×C89C22semidirect
176. C2×#120×C89C22semidirect
177. C2×#120×C89C22semidirect
178. #397×C89C22semidirect
179. #396×C89C22semidirect
180. #394×C89C22semidirect
181. #394×C89C22semidirect
182. #392×C89C22semidirect
183. #392×C89C22semidirect
184. #390×C89C22semidirect
185. #390×C89C22semidirect
186. #388×C89C22semidirect
187. #386×C89C22semidirect
188. #379×C89C22semidirect
203. C24×D89C23semidirect
224. C22×C22⋊D89C23semidirect
236. C2×D4×D89D4semidirect
237. C23×Dic89C23semidirect
241. C22×C4×D89C23semidirect
280. C2×C4⋊Dic89C23semidirect
281. C2×C4⋊Dic89C23semidirect
282. C2×C4⋊Dic89C23semidirect
283. C2×C4⋊Dic89C23semidirect
284. C2×#13083553C23semidirect
285. C2×#13083553C23semidirect
286. C2×#13083553C23semidirect
287. C2×#13083553C23semidirect
288. C2×#13083553C23semidirect
289. C2×#13083553C23semidirect
290. C2×#13083553C23semidirect
291. C2×#13083553C23semidirect
304. C2×C22⋊Dic89C23semidirect
305. C2×C22⋊Dic89C23semidirect
306. C2×C22⋊Dic89C23semidirect
307. C2×C22⋊Dic89C23semidirect
308. C2×C22⋊Dic89C23semidirect
340. C2×#13083551C23semidirect
341. C2×#13083551C23semidirect
342. C2×#13083551C23semidirect
343. C2×#13083551C23semidirect
344. C2×#13083551C23semidirect
345. C2×#13083551C23semidirect
346. C2×#13083551C23semidirect
347. C2×#13083551C23semidirect
348. C2×#13083551C23semidirect
349. C2×#13083551C23semidirect
350. C2×#13083551C23semidirect
351. C2×#13083551C23semidirect
355. C2×C4×Dic89C23semidirect
356. C2×C4×Dic89C23semidirect
357. C2×C4×Dic89C23semidirect
358. #15667919C23semidirect
359. #15667919C23semidirect
360. #15667919C23semidirect
361. #15667919C23semidirect
362. #15667919C23semidirect
363. #15667919C23semidirect
364. #15667919C23semidirect
365. #15667919C23semidirect
366. #15667919C23semidirect
367. #15667919C23semidirect
368. #15667919C23semidirect
369. #15667919C23semidirect
377. C22×D4×C89C23semidirect
378. C23×C4×C89C23semidirect
383. C2×C4⋊C4×C89C23semidirect
384. C2×C4⋊C4×C89C23semidirect
385. C2×C4⋊C4×C89C23semidirect
386. C2×C4⋊C4×C89C23semidirect
399. C2×C22⋊C4×C89C23semidirect
400. C2×C22⋊C4×C89C23semidirect
401. C2×C22⋊C4×C89C23semidirect
402. C2×C22⋊C4×C89C23semidirect
403. C2×C22⋊C4×C89C23semidirect
404. C2×C42×C89C23semidirect
405. #95×C89C23semidirect
406. #95×C89C23semidirect
407. #95×C89C23semidirect
408. #95×C89C23semidirect
1099. #2678D89semidirect
1111. C89#36714semidirect
1125. C2×#123C2×D89semidirect
1129. C2×#121C2×D89semidirect
1157. C2×#120C2×D89semidirect
1158. C2×#120C2×D89semidirect
1172. #397C2×D89semidirect
1180. #396C2×D89semidirect
1203. #394C2×D89semidirect
1204. #394C2×D89semidirect
1211. #392C2×D89semidirect
1212. #392C2×D89semidirect
1227. #390C2×D89semidirect
1228. #390C2×D89semidirect
1236. #388C2×D89semidirect
1248. #386C2×D89semidirect
1268. #379C2×D89semidirect
1324. C22×D4C22×D89semidirect
1330. C23×C4C22×D89semidirect
1385. C2×C4⋊C4C22×D89semidirect
1386. C2×C4⋊C4C22×D89semidirect
1387. C2×C4⋊C4C22×D89semidirect
1388. C2×C4⋊C4C22×D89semidirect
1464. C2×C22⋊C4C22×D89semidirect
1465. C2×C22⋊C4C22×D89semidirect
1466. C2×C22⋊C4C22×D89semidirect
1467. C2×C22⋊C4C22×D89semidirect
1468. C2×C22⋊C4C22×D89semidirect
1472. C2×C42C22×D89semidirect
1485. #95C22×D89semidirect
1486. #95C22×D89semidirect
1487. #95C22×D89semidirect
1488. #95C22×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521562
C2×#120×D892
#260285302
#260285282
#260268172
#260268152
#260268122
#260268102
#260265872
#260265862
#260265852
#260265802
#260265792
#260265782
#260265772
#260265722
#260265712
#260265702
#260260262
#260260242
#260236362
#260236342
#260236322
#260236302
#260235782
#260235762
#260235612
#260228312
C89×#26782
#3671489