Finite Group Databasebeta

← C89×#63033 #36440881

Subgroups — C89×#63033 #36440881

Order 22784.

6510 conjugacy classes of subgroups.

The subgroup lattice has 1292 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3565C216yesmaximal, complemented
2C89×#3559C216yesmaximal, complemented
3C89×#3557C216yesmaximal, complemented
4C89×#3555C213yesmaximal, complemented
5C89×#3554C213yesmaximal, complemented
6C89×#3552C213yesmaximal, complemented
7C89×#3524C212yesmaximal, complemented
8C89×#3522C211yesmaximal, characteristic, complemented
9C89×#3522C213yesmaximal, complemented
10C89×#3517C211yesmaximal, characteristic, complemented
11C89×#3516C212yesmaximal, complemented
12C89×#3515C213yesmaximal, complemented
13C89×#3515C216yesmaximal, complemented
14C89×#3511C213yesmaximal, complemented
15C89×#3507C213yesmaximal, complemented
16C89×#3504C212yesmaximal, complemented
17C89×#3502C211yesmaximal, characteristic, complemented
18C89×#3482C213yesmaximal, complemented
19C89×#3482C211yesmaximal, characteristic, complemented
20C89×#3480C212yesmaximal, complemented
21C89×#3480C211yesmaximal, characteristic, complemented
22Q8×#41×C89C211yesmaximal, characteristic, complemented
23C2×#557×C89C211yesmaximal, characteristic, complemented
24#563×C89C22112yes—
25#563×C89C22112yes—
26#562×C89C22112yes—
27#559×C89C2213yes—
28#559×C89C2216yes—
29#559×C89C2213yes—
30#559×C89C2216yes—
31Q82×C89C2211yescharacteristic
32Q82×C89C2213yes—
33#557×C89C2211yescharacteristic
34#557×C89C2211yescharacteristic
35#557×C89C2212yes—
36#557×C89C2213yes—
37#557×C89C2213yes—
38#557×C89C2216yes—
39#557×C89C2212yes—
40#557×C89C2212yes—
41#557×C89C2211yescharacteristic
42#557×C89C2213yes—
43#557×C89C2213yes—
44#557×C89C2216yes—
45#556×C89C2213yes—
46#556×C89C2216yes—
47#556×C89C2213yes—
48#556×C89C2213yes—
49#556×C89C2216yes—
50#556×C89C2216yes—
51#556×C89C2216yes—
52#555×C89C2216yes—
53#554×C89C2213yes—
54#554×C89C2216yes—
55#554×C89C2216yes—
56#554×C89C2216yes—
57#554×C89C2216yes—
58#554×C89C2216yes—
59#554×C89C2216yes—
60#554×C89C2213yes—
61#553×C89C2216yes—
62#553×C89C2216yes—
63#553×C89C2216yes—
64#553×C89C2216yes—
65#553×C89C2216yes—
66#553×C89C2216yes—
67#552×C89C2211yescharacteristic
68#552×C89C2213yes—
69#552×C89C2216yes—
70#552×C89C2213yes—
71#552×C89C2216yes—
72#552×C89C2213yes—
73#552×C89C22112yes—
74#552×C89C22112yes—
75#552×C89C2216yes—
76#552×C89C2216yes—
77#550×C89C2211yescharacteristic
78#550×C89C2212yes—
79#550×C89C2213yes—
80D4×Q8×C89C2213yes—
81D4×Q8×C89C2211yescharacteristic
82D4×Q8×C89C2213yes—
83#548×C89C2211yescharacteristic
84#548×C89C2212yes—
85#548×C89C2212yes—
86#548×C89C2213yes—
87#548×C89C2211yescharacteristic
88#548×C89C2213yes—
89#548×C89C2216yes—
90#547×C89C2213yes—
91#547×C89C2216yes—
92#547×C89C2213yes—
93#547×C89C2216yes—
94#547×C89C2213yes—
95#547×C89C22112yes—
96#547×C89C2216yes—
97#544×C89C2216yes—
98#544×C89C2216yes—
99#544×C89C2216yes—
100#542×C89C2216yes—
101#542×C89C2216yes—
102#542×C89C2216yes—
103#542×C89C2216yes—
104#542×C89C2216yes—
105#542×C89C22112yes—
106#542×C89C2216yes—
107#541×C89C2216yes—
108#541×C89C22112yes—
109#541×C89C2216yes—
110#540×C89C2216yes—
111#540×C89C2216yes—
112#539×C89C22112yes—
113#539×C89C22112yes—
114#539×C89C22112yes—
115#539×C89C22112yes—
116#537×C89C2216yes—
117#536×C89C2216yes—
118#533×C89C2213yes—
119#533×C89C2216yes—
120#533×C89C2213yes—
121#533×C89C2216yes—
122#533×C89C2213yes—
123#533×C89C2213yes—
124#532×C89C2213yes—
125#532×C89C2216yes—
126#532×C89C2213yes—
127#532×C89C2213yes—
128C2×C4⋊Q8×C89C2213yes—
129#529×C89C2216yes—
130#529×C89C2216yes—
131#529×C89C2216yes—
132#529×C89C2213yes—
133#529×C89C2216yes—
134#529×C89C2213yes—
135#529×C89C2213yes—
136#529×C89C2213yes—
137#529×C89C2216yes—
138#529×C89C2216yes—
139#529×C89C2216yes—
140C2×#125×C89C2216yes—
141C2×#125×C89C2216yes—
142#520×C89C2212yes—
143#520×C89C2212yes—
144#520×C89C2216yes—
145#520×C89C2216yes—
146#519×C89C2212yes—
147C4×#41×C89C2212yes—
148C4×#41×C89C2211yescharacteristic
149C4×#41×C89C2212yes—
150C4×#41×C89C2216yes—
151C4×#41×C89C2213yes—
152C4×#41×C89C2213yes—
153C2×C4×Q8×C89C2212yes—
154C2×C4×Q8×C89C2213yes—
155C2×C4×Q8×C89C2211yescharacteristic
156C2×C4×Q8×C89C2213yes—
157C2×C4×Q8×C89C2211yescharacteristic
158C2×#41×C89C2311yescharacteristic
159C2×#41×C89C2312yes—
160C2×#41×C89C2316yes—
161C2×#41×C89C2313yes—
162C2×#41×C89C2313yes—
163C2×#41×C89C2316yes—
164C2×#41×C89C2316yes—
165C22×Q8×C89C2311yescharacteristic
166C22×Q8×C89C2311yescharacteristic
167C22×Q8×C89C2313yes—
168C22×Q8×C89C2313yes—
169C4⋊Q8×C89C2313yes—
170C4⋊Q8×C89C2313yes—
171C4⋊Q8×C89C2316yes—
172C4⋊Q8×C89C2316yes—
173C4⋊Q8×C89C2316yes—
174C4⋊Q8×C89C2313yes—
175C4⋊Q8×C89C2316yes—
176C4⋊Q8×C89C2313yes—
177C4⋊Q8×C89C2313yes—
178C4⋊Q8×C89C2313yes—
179C4⋊Q8×C89C2316yes—
180C4⋊Q8×C89C2316yes—
181C4⋊Q8×C89C2313yes—
182C4⋊Q8×C89C2316yes—
183C4⋊Q8×C89C2316yes—
184C4⋊Q8×C89C23112yes—
185#127×C89C2313yes—
186#127×C89C2316yes—
187#126×C89C2316yes—
188#126×C89C2312yes—
189#126×C89C2316yes—
190#126×C89C2316yes—
191#126×C89C2316yes—
192#126×C89C23112yes—
193#126×C89C23112yes—
194#126×C89C23112yes—
195#126×C89C2316yes—
196#126×C89C23112yes—
197#126×C89C2316yes—
198#126×C89C2316yes—
199#126×C89C23112yes—
200#126×C89C23112yes—
201#125×C89C2313yes—
202#125×C89C2316yes—
203#125×C89C2316yes—
204#125×C89C2316yes—
205#125×C89C2316yes—
206#125×C89C2316yes—
207#125×C89C23112yes—
208#125×C89C23112yes—
209#125×C89C23112yes—
210#125×C89C2316yes—
211#125×C89C2316yes—
212#125×C89C2311yescharacteristic
213#125×C89C2316yes—
214#125×C89C2313yes—
215#125×C89C2316yes—
216#125×C89C2313yes—
217#125×C89C2316yes—
218#125×C89C2312yes—
219#125×C89C2316yes—
220#125×C89C2316yes—
221#125×C89C2316yes—
222#125×C89C23112yes—
223#125×C89C23112yes—
224#124×C89C2313yes—
225#124×C89C2316yes—
226#124×C89C2313yes—
227#124×C89C2313yes—
228#124×C89C2316yes—
229#124×C89C2313yes—
230#124×C89C2316yes—
231#124×C89C2316yes—
232#124×C89C2316yes—
233#124×C89C2316yes—
234#124×C89C23112yes—
235#124×C89C23112yes—
236#123×C89C2316yes—
237#123×C89C2312yes—
238#123×C89C23112yes—
239#123×C89C23112yes—
240#123×C89C2316yes—
241#123×C89C2316yes—
242#123×C89C2316yes—
243#123×C89C2316yes—
244#123×C89C23112yes—
245#123×C89C23112yes—
246#123×C89C2316yes—
247#123×C89C2316yes—
248#123×C89C23112yes—
249#123×C89C23112yes—
250#123×C89C23112yes—
251#123×C89C23112yes—
252C22⋊Q8×C89C2311yescharacteristic
253C22⋊Q8×C89C2313yes—
254C22⋊Q8×C89C2313yes—
255C22⋊Q8×C89C2313yes—
256C22⋊Q8×C89C2316yes—
257C22⋊Q8×C89C2313yes—
258C22⋊Q8×C89C2316yes—
259C22⋊Q8×C89C2316yes—
260C22⋊Q8×C89C2313yes—
261C22⋊Q8×C89C2316yes—
262C22⋊Q8×C89C2313yes—
263C22⋊Q8×C89C2311yescharacteristic
264C22⋊Q8×C89C2316yes—
265C22⋊Q8×C89C2316yes—
266C22⋊Q8×C89C2316yes—
267C22⋊Q8×C89C2316yes—
268C22⋊Q8×C89C2316yes—
269C22⋊Q8×C89C23112yes—
270C22⋊Q8×C89C23112yes—
271C22⋊Q8×C89C2316yes—
272C22⋊Q8×C89C2316yes—
273C22⋊Q8×C89C2316yes—
274C22⋊Q8×C89C2316yes—
275C22⋊Q8×C89C23112yes—
276C22⋊Q8×C89C23112yes—
277C22⋊Q8×C89C23112yes—
278C22⋊Q8×C89C23112yes—
279C22⋊Q8×C89C23112yes—
280C22⋊Q8×C89C23112yes—
281#121×C89C2316yes—
282#121×C89C2313yes—
283#121×C89C2313yes—
284#121×C89C2316yes—
285#121×C89C2316yes—
286#121×C89C2313yes—
287#121×C89C2316yes—
288#121×C89C2316yes—
289#121×C89C2316yes—
290#121×C89C2313yes—
291#121×C89C2316yes—
292#121×C89C23112yes—
293#121×C89C2316yes—
294#121×C89C2316yes—
295#121×C89C23112yes—
296#121×C89C23112yes—
297C4×Q8×C89C2311yescharacteristic
298C4×Q8×C89C2311yescharacteristic
299C4×Q8×C89C2313yes—
300C4×Q8×C89C2312yes—
301C4×Q8×C89C2311yescharacteristic
302C4×Q8×C89C2312yes—
303C4×Q8×C89C2311yescharacteristic
304C4×Q8×C89C2313yes—
305C4×Q8×C89C2316yes—
306C4×Q8×C89C2313yes—
307C4×Q8×C89C2313yes—
308C4×Q8×C89C2313yes—
309C4×Q8×C89C2316yes—
310C4×Q8×C89C2316yes—
311C4×Q8×C89C2313yes—
312C4×Q8×C89C2313yes—
313C4×Q8×C89C2313yes—
314C4×Q8×C89C2316yes—
315C4×Q8×C89C2316yes—
316C4×Q8×C89C2313yes—
317C4×Q8×C89C2316yes—
318C4×Q8×C89C2313yes—
319C4×Q8×C89C2312yes—
320C4×Q8×C89C2311yescharacteristic
321C4×Q8×C89C2313yes—
322C4×Q8×C89C2316yes—
323C4×Q8×C89C2313yes—
324C4×Q8×C89C2313yes—
325C4×Q8×C89C2316yes—
326C4×Q8×C89C2316yes—
327C4×Q8×C89C2316yes—
328C4×Q8×C89C2316yes—
329C4×Q8×C89C2316yes—
330C4×Q8×C89C2316yes—
331C4×D4×C89C2311yescharacteristic
332C4×D4×C89C2313yes—
333C4×D4×C89C2313yes—
334C4×D4×C89C2316yes—
335C4×D4×C89C2313yes—
336C4×D4×C89C2313yes—
337C4×D4×C89C2316yes—
338C4×D4×C89C2313yes—
339C4×D4×C89C2313yes—
340C4×D4×C89C2313yes—
341C4×D4×C89C2316yes—
342C4×D4×C89C2313yes—
343C4×D4×C89C2316yes—
344C4×D4×C89C2316yes—
345C4×D4×C89C2316yes—
346C4×D4×C89C2316yes—
347C4×D4×C89C2316yes—
348C4×D4×C89C2316yes—
349C4×D4×C89C2316yes—
350C4×D4×C89C2313yes—
351C4×D4×C89C2316yes—
352C4×D4×C89C23112yes—
353C4×D4×C89C2316yes—
354C4×D4×C89C23112yes—
355C4×D4×C89C23112yes—
356C4×D4×C89C2316yes—
357C4×D4×C89C2316yes—
358C4×D4×C89C2316yes—
359C4×D4×C89C2316yes—
360C4×D4×C89C2316yes—
361C4×D4×C89C2316yes—
362#117×C89C2311yescharacteristic
363#117×C89C2312yes—
364#117×C89C2313yes—
365#117×C89C2316yes—
366#117×C89C2316yes—
367#117×C89C2316yes—
368#117×C89C2313yes—
369#117×C89C2316yes—
370#117×C89C2313yes—
371#117×C89C2313yes—
372#117×C89C2316yes—
373#117×C89C2316yes—
374#117×C89C2316yes—
375#117×C89C2316yes—
376#117×C89C2316yes—
377#117×C89C2316yes—
378#117×C89C23112yes—
379#117×C89C23112yes—
380C2×C4⋊C4×C89C2311yescharacteristic
381C2×C4⋊C4×C89C2313yes—
382C2×C4⋊C4×C89C2313yes—
383C2×C4⋊C4×C89C2316yes—
384C2×C4⋊C4×C89C2316yes—
385C2×C4⋊C4×C89C2316yes—
386C2×C4⋊C4×C89C2313yes—
387C2×C4⋊C4×C89C2316yes—
388C2×C4⋊C4×C89C23112yes—
389C2×C4⋊C4×C89C23112yes—
390C2×C4⋊C4×C89C2316yes—
391C2×C4⋊C4×C89C2316yes—
392C2×C42×C89C2316yes—
393C2×C42×C89C2313yes—
394C2×C42×C89C2316yes—
395C2×C42×C89C2313yes—
396C2×C42×C89C2313yes—
397C2×C42×C89C2316yes—
398#41×C89—24no—
399#41×C89—28no—
400#41×C89—412no—
401#41×C89—46no—
402#41×C89—412no—
403#41×C89—412no—
404#41×C89—46no—
405C2×Q8×C89—24no—
406C2×Q8×C89—24no—
407C2×Q8×C89—46no—
408C2×Q8×C89—46no—
409C2×Q8×C89C2413yes—
410C2×Q8×C89C2413yes—
411C2×Q8×C89C2411yescharacteristic
412C2×Q8×C89C2413yes—
413C2×Q8×C89C2413yes—
414C2×Q8×C89C2416yes—
415C2×Q8×C89C2413yes—
416C2×Q8×C89C2416yes—
417C2×Q8×C89C2416yes—
418C2×Q8×C89C2416yes—
419C2×Q8×C89C2411yescharacteristic
420C2×D4×C89C2413yes—
421C2×D4×C89C2416yes—
422C2×D4×C89C2411yescharacteristic
423C2×D4×C89C2413yes—
424C2×D4×C89C2416yes—
425C2×D4×C89C2413yes—
426C2×D4×C89C2413yes—
427C2×D4×C89C2416yes—
428C2×D4×C89C24112yes—
429C2×D4×C89C2416yes—
430C2×D4×C89C2416yes—
431C22×C4×C89C2412yes—
432C22×C4×C89C2413yes—
433C22×C4×C89C2411yescharacteristic
434C22×C4×C89C2413yes—
435C22×C4×C89C2411yescharacteristic
436C22×C4×C89C2413yes—
437C22×C4×C89C2416yes—
438C22×C4×C89C2413yes—
439C22×C4×C89C2413yes—
440C22×C4×C89C2416yes—
441C22×C4×C89C2416yes—
442C22×C4×C89C2416yes—
443C22×C4×C89C2416yes—
444C22×C4×C89C2413yes—
445C22×C4×C89C2413yes—
446C22×C4×C89C2416yes—
447C22×C4×C89C24112yes—
448C22×C4×C89C24112yes—
449C4⋊C4×C89C2411yescharacteristic
450C4⋊C4×C89C2413yes—
451C4⋊C4×C89C2416yes—
452C4⋊C4×C89C2413yes—
453C4⋊C4×C89C2416yes—
454C4⋊C4×C89C2412yes—
455C4⋊C4×C89C2413yes—
456C4⋊C4×C89C2413yes—
457C4⋊C4×C89C2416yes—
458C4⋊C4×C89C2416yes—
459C4⋊C4×C89C2416yes—
460C4⋊C4×C89C24112yes—
461C4⋊C4×C89C2416yes—
462C4⋊C4×C89C2416yes—
463C4⋊C4×C89C2416yes—
464C4⋊C4×C89C2416yes—
465C4⋊C4×C89C2413yes—
466C4⋊C4×C89C2416yes—
467C4⋊C4×C89C2413yes—
468C4⋊C4×C89C2416yes—
469C4⋊C4×C89C24112yes—
470C4⋊C4×C89C2416yes—
471C4⋊C4×C89C24112yes—
472C4⋊C4×C89C2411yescharacteristic
473C4⋊C4×C89C2412yes—
474C4⋊C4×C89C2416yes—
475C4⋊C4×C89C2416yes—
476C4⋊C4×C89C2416yes—
477C4⋊C4×C89C2416yes—
478C4⋊C4×C89C2416yes—
479C4⋊C4×C89C24112yes—
480C4⋊C4×C89C2416yes—
481C4⋊C4×C89C2413yes—
482C4⋊C4×C89C2411yescharacteristic
483C4⋊C4×C89C2413yes—
484C4⋊C4×C89C2416yes—
485C4⋊C4×C89C2412yes—
486C4⋊C4×C89C2412yes—
487C4⋊C4×C89C2412yes—
488C4⋊C4×C89C2411yescharacteristic
489C4⋊C4×C89C2412yes—
490C4⋊C4×C89C2413yes—
491C4⋊C4×C89C2416yes—
492C4⋊C4×C89C2416yes—
493C4⋊C4×C89C2416yes—
494C4⋊C4×C89C2413yes—
495C4⋊C4×C89C2416yes—
496C4⋊C4×C89C2416yes—
497C22⋊C4×C89C2411yescharacteristic
498C22⋊C4×C89C2416yes—
499C22⋊C4×C89C2413yes—
500C22⋊C4×C89C2416yes—
501C22⋊C4×C89C2411yescharacteristic
502C22⋊C4×C89C2416yes—
503C22⋊C4×C89C2412yes—
504C22⋊C4×C89C2413yes—
505C22⋊C4×C89C2412yes—
506C22⋊C4×C89C2412yes—
507C22⋊C4×C89C2416yes—
508C22⋊C4×C89C2416yes—
509C22⋊C4×C89C2416yes—
510C22⋊C4×C89C24112yes—
511C22⋊C4×C89C24112yes—
512C22⋊C4×C89C2416yes—
513C22⋊C4×C89C2416yes—
514C22⋊C4×C89C2416yes—
515C22⋊C4×C89C2416yes—
516C22⋊C4×C89C2416yes—
517C22⋊C4×C89C2416yes—
518C22⋊C4×C89C24112yes—
519C22⋊C4×C89C24112yes—
520C22⋊C4×C89C2413yes—
521C22⋊C4×C89C2416yes—
522C22⋊C4×C89C2413yes—
523C42×C89C2412yes—
524C42×C89C2412yes—
525C42×C89C2416yes—
526C42×C89C2413yes—
527C42×C89C2413yes—
528C42×C89C2411yescharacteristic
529C42×C89C2413yes—
530C42×C89C2416yes—
531C42×C89C2413yes—
532C42×C89C2416yes—
533C42×C89C2413yes—
534C42×C89C2413yes—
535C42×C89C2413yes—
536C42×C89C2416yes—
537C42×C89C2413yes—
538C42×C89C2416yes—
539C42×C89C2416yes—
540C42×C89C2413yes—
541C42×C89C2416yes—
542C42×C89C24112yes—
543C23×C89C2511yescharacteristic
544C23×C89C2513yes—
545C23×C89C2516yes—
546C23×C89C2511yescharacteristic
547Q8×C89—26no—
548Q8×C89—26no—
549Q8×C89—22no—
550Q8×C89—26no—
551Q8×C89—26no—
552Q8×C89—46no—
553Q8×C89—46no—
554Q8×C89—43no—
555Q8×C89—46no—
556Q8×C89—46no—
557Q8×C892−1+414yes—
558D4×C89—22no—
559D4×C89—26no—
560D4×C89—212no—
561D4×C89—26no—
562D4×C89—212no—
563D4×C89—26no—
564D4×C89—43no—
565D4×C89—46no—
566D4×C89—46no—
567D4×C89—412no—
568D4×C89—46no—
569C2×C4×C89—24no—
570C2×C4×C89—26no—
571C2×C4×C89—26no—
572C2×C4×C89—26no—
573C2×C4×C89—26no—
574C2×C4×C89—212no—
575C2×C4×C89—22no—
576C2×C4×C89—26no—
577C2×C4×C89—22no—
578C2×C4×C89—46no—
579C2×C4×C89—46no—
580C2×C4×C89—46no—
581C2×C4×C89—46no—
582C2×C4×C89—46no—
583C2×C4×C89—412no—
584C2×C4×C89—412no—
585C2×C4×C89—43no—
586C2×C4×C89—43no—
587C2×C4×C89C2511yescharacteristic
588C2×C4×C89C2511yescharacteristic
589C2×C4×C89C2512yes—
590C2×C4×C89C2513yes—
591C2×C4×C89C2513yes—
592C2×C4×C89C2511yescharacteristic
593C2×C4×C89C2512yes—
594C2×C4×C89C2512yes—
595C2×C4×C89C2512yes—
596C2×C4×C89C2513yes—
597C2×C4×C89C2511yescharacteristic
598C2×C4×C89C2516yes—
599C2×C4×C89C2516yes—
600C2×C4×C89C2513yes—
601C2×C4×C89C2516yes—
602C2×C4×C89C2513yes—
603C2×C4×C89C2513yes—
604C2×C4×C89C2513yes—
605C2×C4×C89C2511yescharacteristic
606C22×C89—21no—
607C22×C89—21no—
608C22×C89—21no—
609C22×C89—23no—
610C22×C89—26no—
611C22×C89—23no—
612C22×C89—21no—
613C22×C89—21no—
614C22×C89—23no—
615C22×C89—26no—
616C22×C89—26no—
617C22×C89#58512yes—
618C22×C89C2611yescharacteristic
619C4×C89—21no—
620C4×C89—22no—
621C4×C89—23no—
622C4×C89—23no—
623C4×C89—22no—
624C4×C89—21no—
625C4×C89—23no—
626C4×C89—23no—
627C4×C89—23no—
628C4×C89—22no—
629C4×C89—21no—
630C4×C89—23no—
631C4×C89—26no—
632C4×C89—21no—
633C4×C89—26no—
634C4×C89—26no—
635C4×C89—22no—
636C4×C89C2×2−1+416yes—
637C4×C89#58512yes—
638#63033C8911yesmaximal, characteristic, direct product factor, Sylow
639C2×C89—22no—
640C2×C89—41no—
641C2×C89—43no—
642C2×C89—46no—
643C2×C89C22×2−1+411yescharacteristic
644C2×C89C2×#58511yescharacteristic
645C2×C89C2×#58511yescharacteristic
646#3565C2×C8916yescomplemented
647#3559C2×C8916yescomplemented
648#3557C2×C8916yescomplemented
649#3555C2×C8913yescomplemented
650#3554C2×C8913yescomplemented
651#3552C2×C8913yescomplemented
652#3524C2×C8912yescomplemented
653#3522C2×C8911yescharacteristic, complemented
654#3522C2×C8913yescomplemented
655#3517C2×C8911yescharacteristic, complemented
656#3516C2×C8912yescomplemented
657#3515C2×C8913yescomplemented
658#3515C2×C8916yescomplemented
659#3511C2×C8913yescomplemented
660#3507C2×C8913yescomplemented
661#3504C2×C8912yescomplemented
662#3502C2×C8911yescharacteristic, complemented
663#3482C2×C8913yescomplemented
664#3482C2×C8911yescharacteristic, complemented
665#3480C2×C8912yescomplemented
666#3480C2×C8911yescharacteristic, complemented
667Q8×#41C2×C8911yescharacteristic, complemented
668C2×#557C2×C8911yescharacteristic, complemented
669C89#6303311yescharacteristic, direct product factor, Sylow
670#563C22×C89112yes—
671#563C22×C89112yes—
672#562C22×C89112yes—
673#559C22×C8913yes—
674#559C22×C8916yes—
675#559C22×C8913yes—
676#559C22×C8916yes—
677Q82C22×C8911yescharacteristic
678Q82C22×C8913yes—
679#557C22×C8911yescharacteristic
680#557C22×C8911yescharacteristic
681#557C22×C8912yes—
682#557C22×C8913yes—
683#557C22×C8913yes—
684#557C22×C8916yes—
685#557C22×C8912yes—
686#557C22×C8912yes—
687#557C22×C8911yescharacteristic
688#557C22×C8913yes—
689#557C22×C8913yes—
690#557C22×C8916yes—
691#556C22×C8913yes—
692#556C22×C8916yes—
693#556C22×C8913yes—
694#556C22×C8913yes—
695#556C22×C8916yes—
696#556C22×C8916yes—
697#556C22×C8916yes—
698#555C22×C8916yes—
699#554C22×C8913yes—
700#554C22×C8916yes—
701#554C22×C8916yes—
702#554C22×C8916yes—
703#554C22×C8916yes—
704#554C22×C8916yes—
705#554C22×C8916yes—
706#554C22×C8913yes—
707#553C22×C8916yes—
708#553C22×C8916yes—
709#553C22×C8916yes—
710#553C22×C8916yes—
711#553C22×C8916yes—
712#553C22×C8916yes—
713#552C22×C8911yescharacteristic
714#552C22×C8913yes—
715#552C22×C8916yes—
716#552C22×C8913yes—
717#552C22×C8916yes—
718#552C22×C8913yes—
719#552C22×C89112yes—
720#552C22×C89112yes—
721#552C22×C8916yes—
722#552C22×C8916yes—
723#550C22×C8911yescharacteristic
724#550C22×C8912yes—
725#550C22×C8913yes—
726D4×Q8C22×C8913yes—
727D4×Q8C22×C8911yescharacteristic
728D4×Q8C22×C8913yes—
729#548C22×C8911yescharacteristic
730#548C22×C8912yes—
731#548C22×C8912yes—
732#548C22×C8913yes—
733#548C22×C8911yescharacteristic
734#548C22×C8913yes—
735#548C22×C8916yes—
736#547C22×C8913yes—
737#547C22×C8916yes—
738#547C22×C8913yes—
739#547C22×C8916yes—
740#547C22×C8913yes—
741#547C22×C89112yes—
742#547C22×C8916yes—
743#544C22×C8916yes—
744#544C22×C8916yes—
745#544C22×C8916yes—
746#542C22×C8916yes—
747#542C22×C8916yes—
748#542C22×C8916yes—
749#542C22×C8916yes—
750#542C22×C8916yes—
751#542C22×C89112yes—
752#542C22×C8916yes—
753#541C22×C8916yes—
754#541C22×C89112yes—
755#541C22×C8916yes—
756#540C22×C8916yes—
757#540C22×C8916yes—
758#539C22×C89112yes—
759#539C22×C89112yes—
760#539C22×C89112yes—
761#539C22×C89112yes—
762#537C22×C8916yes—
763#536C22×C8916yes—
764#533C22×C8913yes—
765#533C22×C8916yes—
766#533C22×C8913yes—
767#533C22×C8916yes—
768#533C22×C8913yes—
769#533C22×C8913yes—
770#532C22×C8913yes—
771#532C22×C8916yes—
772#532C22×C8913yes—
773#532C22×C8913yes—
774C2×C4⋊Q8C22×C8913yes—
775#529C22×C8916yes—
776#529C22×C8916yes—
777#529C22×C8916yes—
778#529C22×C8913yes—
779#529C22×C8916yes—
780#529C22×C8913yes—
781#529C22×C8913yes—
782#529C22×C8913yes—
783#529C22×C8916yes—
784#529C22×C8916yes—
785#529C22×C8916yes—
786C2×#125C22×C8916yes—
787C2×#125C22×C8916yes—
788#520C22×C8912yes—
789#520C22×C8912yes—
790#520C22×C8916yes—
791#520C22×C8916yes—
792#519C22×C8912yes—
793C4×#41C22×C8912yes—
794C4×#41C22×C8911yescharacteristic
795C4×#41C22×C8912yes—
796C4×#41C22×C8916yes—
797C4×#41C22×C8913yes—
798C4×#41C22×C8913yes—
799C2×C4×Q8C22×C8912yes—
800C2×C4×Q8C22×C8913yes—
801C2×C4×Q8C22×C8911yescharacteristic
802C2×C4×Q8C22×C8913yes—
803C2×C4×Q8C22×C8911yescharacteristic
804C2×#41C23×C8911yescharacteristic
805C2×#41C23×C8912yes—
806C2×#41C23×C8916yes—
807C2×#41C23×C8913yes—
808C2×#41C23×C8913yes—
809C2×#41C23×C8916yes—
810C2×#41C23×C8916yes—
811C22×Q8C23×C8911yescharacteristic
812C22×Q8C23×C8911yescharacteristic
813C22×Q8C23×C8913yes—
814C22×Q8C23×C8913yes—
815C4⋊Q8C23×C8913yes—
816C4⋊Q8C23×C8913yes—
817C4⋊Q8C23×C8916yes—
818C4⋊Q8C23×C8916yes—
819C4⋊Q8C23×C8916yes—
820C4⋊Q8C23×C8913yes—
821C4⋊Q8C23×C8916yes—
822C4⋊Q8C23×C8913yes—
823C4⋊Q8C23×C8913yes—
824C4⋊Q8C23×C8913yes—
825C4⋊Q8C23×C8916yes—
826C4⋊Q8C23×C8916yes—
827C4⋊Q8C23×C8913yes—
828C4⋊Q8C23×C8916yes—
829C4⋊Q8C23×C8916yes—
830C4⋊Q8C23×C89112yes—
831#127C23×C8913yes—
832#127C23×C8916yes—
833#126C23×C8916yes—
834#126C23×C8912yes—
835#126C23×C8916yes—
836#126C23×C8916yes—
837#126C23×C8916yes—
838#126C23×C89112yes—
839#126C23×C89112yes—
840#126C23×C89112yes—
841#126C23×C8916yes—
842#126C23×C89112yes—
843#126C23×C8916yes—
844#126C23×C8916yes—
845#126C23×C89112yes—
846#126C23×C89112yes—
847#125C23×C8913yes—
848#125C23×C8916yes—
849#125C23×C8916yes—
850#125C23×C8916yes—
851#125C23×C8916yes—
852#125C23×C8916yes—
853#125C23×C89112yes—
854#125C23×C89112yes—
855#125C23×C89112yes—
856#125C23×C8916yes—
857#125C23×C8916yes—
858#125C23×C8911yescharacteristic
859#125C23×C8916yes—
860#125C23×C8913yes—
861#125C23×C8916yes—
862#125C23×C8913yes—
863#125C23×C8916yes—
864#125C23×C8912yes—
865#125C23×C8916yes—
866#125C23×C8916yes—
867#125C23×C8916yes—
868#125C23×C89112yes—
869#125C23×C89112yes—
870#124C23×C8913yes—
871#124C23×C8916yes—
872#124C23×C8913yes—
873#124C23×C8913yes—
874#124C23×C8916yes—
875#124C23×C8913yes—
876#124C23×C8916yes—
877#124C23×C8916yes—
878#124C23×C8916yes—
879#124C23×C8916yes—
880#124C23×C89112yes—
881#124C23×C89112yes—
882#123C23×C8916yes—
883#123C23×C8912yes—
884#123C23×C89112yes—
885#123C23×C89112yes—
886#123C23×C8916yes—
887#123C23×C8916yes—
888#123C23×C8916yes—
889#123C23×C8916yes—
890#123C23×C89112yes—
891#123C23×C89112yes—
892#123C23×C8916yes—
893#123C23×C8916yes—
894#123C23×C89112yes—
895#123C23×C89112yes—
896#123C23×C89112yes—
897#123C23×C89112yes—
898C22⋊Q8C23×C8911yescharacteristic
899C22⋊Q8C23×C8913yes—
900C22⋊Q8C23×C8913yes—
901C22⋊Q8C23×C8913yes—
902C22⋊Q8C23×C8916yes—
903C22⋊Q8C23×C8913yes—
904C22⋊Q8C23×C8916yes—
905C22⋊Q8C23×C8916yes—
906C22⋊Q8C23×C8913yes—
907C22⋊Q8C23×C8916yes—
908C22⋊Q8C23×C8913yes—
909C22⋊Q8C23×C8911yescharacteristic
910C22⋊Q8C23×C8916yes—
911C22⋊Q8C23×C8916yes—
912C22⋊Q8C23×C8916yes—
913C22⋊Q8C23×C8916yes—
914C22⋊Q8C23×C8916yes—
915C22⋊Q8C23×C89112yes—
916C22⋊Q8C23×C89112yes—
917C22⋊Q8C23×C8916yes—
918C22⋊Q8C23×C8916yes—
919C22⋊Q8C23×C8916yes—
920C22⋊Q8C23×C8916yes—
921C22⋊Q8C23×C89112yes—
922C22⋊Q8C23×C89112yes—
923C22⋊Q8C23×C89112yes—
924C22⋊Q8C23×C89112yes—
925C22⋊Q8C23×C89112yes—
926C22⋊Q8C23×C89112yes—
927#121C23×C8916yes—
928#121C23×C8913yes—
929#121C23×C8913yes—
930#121C23×C8916yes—
931#121C23×C8916yes—
932#121C23×C8913yes—
933#121C23×C8916yes—
934#121C23×C8916yes—
935#121C23×C8916yes—
936#121C23×C8913yes—
937#121C23×C8916yes—
938#121C23×C89112yes—
939#121C23×C8916yes—
940#121C23×C8916yes—
941#121C23×C89112yes—
942#121C23×C89112yes—
943C4×Q8C23×C8911yescharacteristic
944C4×Q8C23×C8911yescharacteristic
945C4×Q8C23×C8913yes—
946C4×Q8C23×C8912yes—
947C4×Q8C23×C8911yescharacteristic
948C4×Q8C23×C8912yes—
949C4×Q8C23×C8911yescharacteristic
950C4×Q8C23×C8913yes—
951C4×Q8C23×C8916yes—
952C4×Q8C23×C8913yes—
953C4×Q8C23×C8913yes—
954C4×Q8C23×C8913yes—
955C4×Q8C23×C8916yes—
956C4×Q8C23×C8916yes—
957C4×Q8C23×C8913yes—
958C4×Q8C23×C8913yes—
959C4×Q8C23×C8913yes—
960C4×Q8C23×C8916yes—
961C4×Q8C23×C8916yes—
962C4×Q8C23×C8913yes—
963C4×Q8C23×C8916yes—
964C4×Q8C23×C8913yes—
965C4×Q8C23×C8912yes—
966C4×Q8C23×C8911yescharacteristic
967C4×Q8C23×C8913yes—
968C4×Q8C23×C8916yes—
969C4×Q8C23×C8913yes—
970C4×Q8C23×C8913yes—
971C4×Q8C23×C8916yes—
972C4×Q8C23×C8916yes—
973C4×Q8C23×C8916yes—
974C4×Q8C23×C8916yes—
975C4×Q8C23×C8916yes—
976C4×Q8C23×C8916yes—
977C4×D4C23×C8911yescharacteristic
978C4×D4C23×C8913yes—
979C4×D4C23×C8913yes—
980C4×D4C23×C8916yes—
981C4×D4C23×C8913yes—
982C4×D4C23×C8913yes—
983C4×D4C23×C8916yes—
984C4×D4C23×C8913yes—
985C4×D4C23×C8913yes—
986C4×D4C23×C8913yes—
987C4×D4C23×C8916yes—
988C4×D4C23×C8913yes—
989C4×D4C23×C8916yes—
990C4×D4C23×C8916yes—
991C4×D4C23×C8916yes—
992C4×D4C23×C8916yes—
993C4×D4C23×C8916yes—
994C4×D4C23×C8916yes—
995C4×D4C23×C8916yes—
996C4×D4C23×C8913yes—
997C4×D4C23×C8916yes—
998C4×D4C23×C89112yes—
999C4×D4C23×C8916yes—
1000C4×D4C23×C89112yes—
1001C4×D4C23×C89112yes—
1002C4×D4C23×C8916yes—
1003C4×D4C23×C8916yes—
1004C4×D4C23×C8916yes—
1005C4×D4C23×C8916yes—
1006C4×D4C23×C8916yes—
1007C4×D4C23×C8916yes—
1008#117C23×C8911yescharacteristic
1009#117C23×C8912yes—
1010#117C23×C8913yes—
1011#117C23×C8916yes—
1012#117C23×C8916yes—
1013#117C23×C8916yes—
1014#117C23×C8913yes—
1015#117C23×C8916yes—
1016#117C23×C8913yes—
1017#117C23×C8913yes—
1018#117C23×C8916yes—
1019#117C23×C8916yes—
1020#117C23×C8916yes—
1021#117C23×C8916yes—
1022#117C23×C8916yes—
1023#117C23×C8916yes—
1024#117C23×C89112yes—
1025#117C23×C89112yes—
1026C2×C4⋊C4C23×C8911yescharacteristic
1027C2×C4⋊C4C23×C8913yes—
1028C2×C4⋊C4C23×C8913yes—
1029C2×C4⋊C4C23×C8916yes—
1030C2×C4⋊C4C23×C8916yes—
1031C2×C4⋊C4C23×C8916yes—
1032C2×C4⋊C4C23×C8913yes—
1033C2×C4⋊C4C23×C8916yes—
1034C2×C4⋊C4C23×C89112yes—
1035C2×C4⋊C4C23×C89112yes—
1036C2×C4⋊C4C23×C8916yes—
1037C2×C4⋊C4C23×C8916yes—
1038C2×C42C23×C8916yes—
1039C2×C42C23×C8913yes—
1040C2×C42C23×C8916yes—
1041C2×C42C23×C8913yes—
1042C2×C42C23×C8913yes—
1043C2×C42C23×C8916yes—
1044#41—24no—
1045#41—28no—
1046#41—412no—
1047#41—46no—
1048#41—412no—
1049#41—412no—
1050#41—46no—
1051C2×Q8—24no—
1052C2×Q8—24no—
1053C2×Q8—46no—
1054C2×Q8—46no—
1055C2×Q8C24×C8913yes—
1056C2×Q8C24×C8913yes—
1057C2×Q8C24×C8911yescharacteristic
1058C2×Q8C24×C8913yes—
1059C2×Q8C24×C8913yes—
1060C2×Q8C24×C8916yes—
1061C2×Q8C24×C8913yes—
1062C2×Q8C24×C8916yes—
1063C2×Q8C24×C8916yes—
1064C2×Q8C24×C8916yes—
1065C2×Q8C24×C8911yescharacteristic
1066C2×D4C24×C8913yes—
1067C2×D4C24×C8916yes—
1068C2×D4C24×C8911yescharacteristic
1069C2×D4C24×C8913yes—
1070C2×D4C24×C8916yes—
1071C2×D4C24×C8913yes—
1072C2×D4C24×C8913yes—
1073C2×D4C24×C8916yes—
1074C2×D4C24×C89112yes—
1075C2×D4C24×C8916yes—
1076C2×D4C24×C8916yes—
1077C22×C4C24×C8912yes—
1078C22×C4C24×C8913yes—
1079C22×C4C24×C8911yescharacteristic
1080C22×C4C24×C8913yes—
1081C22×C4C24×C8911yescharacteristic
1082C22×C4C24×C8913yes—
1083C22×C4C24×C8916yes—
1084C22×C4C24×C8913yes—
1085C22×C4C24×C8913yes—
1086C22×C4C24×C8916yes—
1087C22×C4C24×C8916yes—
1088C22×C4C24×C8916yes—
1089C22×C4C24×C8916yes—
1090C22×C4C24×C8913yes—
1091C22×C4C24×C8913yes—
1092C22×C4C24×C8916yes—
1093C22×C4C24×C89112yes—
1094C22×C4C24×C89112yes—
1095C4⋊C4C24×C8911yescharacteristic
1096C4⋊C4C24×C8913yes—
1097C4⋊C4C24×C8916yes—
1098C4⋊C4C24×C8913yes—
1099C4⋊C4C24×C8916yes—
1100C4⋊C4C24×C8912yes—
1101C4⋊C4C24×C8913yes—
1102C4⋊C4C24×C8913yes—
1103C4⋊C4C24×C8916yes—
1104C4⋊C4C24×C8916yes—
1105C4⋊C4C24×C8916yes—
1106C4⋊C4C24×C89112yes—
1107C4⋊C4C24×C8916yes—
1108C4⋊C4C24×C8916yes—
1109C4⋊C4C24×C8916yes—
1110C4⋊C4C24×C8916yes—
1111C4⋊C4C24×C8913yes—
1112C4⋊C4C24×C8916yes—
1113C4⋊C4C24×C8913yes—
1114C4⋊C4C24×C8916yes—
1115C4⋊C4C24×C89112yes—
1116C4⋊C4C24×C8916yes—
1117C4⋊C4C24×C89112yes—
1118C4⋊C4C24×C8911yescharacteristic
1119C4⋊C4C24×C8912yes—
1120C4⋊C4C24×C8916yes—
1121C4⋊C4C24×C8916yes—
1122C4⋊C4C24×C8916yes—
1123C4⋊C4C24×C8916yes—
1124C4⋊C4C24×C8916yes—
1125C4⋊C4C24×C89112yes—
1126C4⋊C4C24×C8916yes—
1127C4⋊C4C24×C8913yes—
1128C4⋊C4C24×C8911yescharacteristic
1129C4⋊C4C24×C8913yes—
1130C4⋊C4C24×C8916yes—
1131C4⋊C4C24×C8912yes—
1132C4⋊C4C24×C8912yes—
1133C4⋊C4C24×C8912yes—
1134C4⋊C4C24×C8911yescharacteristic
1135C4⋊C4C24×C8912yes—
1136C4⋊C4C24×C8913yes—
1137C4⋊C4C24×C8916yes—
1138C4⋊C4C24×C8916yes—
1139C4⋊C4C24×C8916yes—
1140C4⋊C4C24×C8913yes—
1141C4⋊C4C24×C8916yes—
1142C4⋊C4C24×C8916yes—
1143C22⋊C4C24×C8911yescharacteristic
1144C22⋊C4C24×C8916yes—
1145C22⋊C4C24×C8913yes—
1146C22⋊C4C24×C8916yes—
1147C22⋊C4C24×C8911yescharacteristic
1148C22⋊C4C24×C8916yes—
1149C22⋊C4C24×C8912yes—
1150C22⋊C4C24×C8913yes—
1151C22⋊C4C24×C8912yes—
1152C22⋊C4C24×C8912yes—
1153C22⋊C4C24×C8916yes—
1154C22⋊C4C24×C8916yes—
1155C22⋊C4C24×C8916yes—
1156C22⋊C4C24×C89112yes—
1157C22⋊C4C24×C89112yes—
1158C22⋊C4C24×C8916yes—
1159C22⋊C4C24×C8916yes—
1160C22⋊C4C24×C8916yes—
1161C22⋊C4C24×C8916yes—
1162C22⋊C4C24×C8916yes—
1163C22⋊C4C24×C8916yes—
1164C22⋊C4C24×C89112yes—
1165C22⋊C4C24×C89112yes—
1166C22⋊C4C24×C8913yes—
1167C22⋊C4C24×C8916yes—
1168C22⋊C4C24×C8913yes—
1169C42C24×C8912yes—
1170C42C24×C8912yes—
1171C42C24×C8916yes—
1172C42C24×C8913yes—
1173C42C24×C8913yes—
1174C42C24×C8911yescharacteristic
1175C42C24×C8913yes—
1176C42C24×C8916yes—
1177C42C24×C8913yes—
1178C42C24×C8916yes—
1179C42C24×C8913yes—
1180C42C24×C8913yes—
1181C42C24×C8913yes—
1182C42C24×C8916yes—
1183C42C24×C8913yes—
1184C42C24×C8916yes—
1185C42C24×C8916yes—
1186C42C24×C8913yes—
1187C42C24×C8916yes—
1188C42C24×C89112yes—
1189C23C25×C8911yescharacteristic
1190C23C25×C8913yes—
1191C23C25×C8916yes—
1192C23C25×C8911yescharacteristic
1193Q8—26no—
1194Q8—26no—
1195Q8—22no—
1196Q8—26no—
1197Q8—26no—
1198Q8—46no—
1199Q8—46no—
1200Q8—43no—
1201Q8—46no—
1202Q8—46no—
1203Q82−1+4×C8914yes—
1204D4—22no—
1205D4—26no—
1206D4—212no—
1207D4—26no—
1208D4—212no—
1209D4—26no—
1210D4—43no—
1211D4—46no—
1212D4—46no—
1213D4—412no—
1214D4—46no—
1215C2×C4—24no—
1216C2×C4—26no—
1217C2×C4—26no—
1218C2×C4—26no—
1219C2×C4—26no—
1220C2×C4—212no—
1221C2×C4—22no—
1222C2×C4—26no—
1223C2×C4—22no—
1224C2×C4—46no—
1225C2×C4—46no—
1226C2×C4—46no—
1227C2×C4—46no—
1228C2×C4—46no—
1229C2×C4—412no—
1230C2×C4—412no—
1231C2×C4—43no—
1232C2×C4—43no—
1233C2×C4C25×C8911yescharacteristic
1234C2×C4C25×C8911yescharacteristic
1235C2×C4C25×C8912yes—
1236C2×C4C25×C8913yes—
1237C2×C4C25×C8913yes—
1238C2×C4C25×C8911yescharacteristic
1239C2×C4C25×C8912yes—
1240C2×C4C25×C8912yes—
1241C2×C4C25×C8912yes—
1242C2×C4C25×C8913yes—
1243C2×C4C25×C8911yescharacteristic
1244C2×C4C25×C8916yes—
1245C2×C4C25×C8916yes—
1246C2×C4C25×C8913yes—
1247C2×C4C25×C8916yes—
1248C2×C4C25×C8913yes—
1249C2×C4C25×C8913yes—
1250C2×C4C25×C8913yes—
1251C2×C4C25×C8911yescharacteristic
1252C22—21no—
1253C22—21no—
1254C22—21no—
1255C22—23no—
1256C22—26no—
1257C22—23no—
1258C22—21no—
1259C22—21no—
1260C22—23no—
1261C22—26no—
1262C22—26no—
1263C22#585×C8912yes—
1264C22C26×C8911yescharacteristic
1265C4—21no—
1266C4—22no—
1267C4—23no—
1268C4—23no—
1269C4—22no—
1270C4—21no—
1271C4—23no—
1272C4—23no—
1273C4—23no—
1274C4—22no—
1275C4—21no—
1276C4—23no—
1277C4—26no—
1278C4—21no—
1279C4—26no—
1280C4—26no—
1281C4—22no—
1282C4C2×2−1+4×C8916yes—
1283C4#585×C8912yes—
1284C2—22no—
1285C2—41no—
1286C2—43no—
1287C2—46no—
1288C2C22×2−1+4×C8911yescharacteristic
1289C2C2×#585×C8911yescharacteristic
1290C2C2×#585×C8911yescharacteristic
subgroupG/H
center, socleC22×C89C26
commutator, Frattini, cosocleC22C26×C89
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3565C2semidirect
2. C89×#3559C2semidirect
3. C89×#3557C2semidirect
4. C89×#3555C2semidirect
5. C89×#3554C2semidirect
6. C89×#3552C2semidirect
7. C89×#3524C2semidirect
8. C89×#3522C2semidirect
9. C89×#3522C2semidirect
10. C89×#3517C2semidirect
11. C89×#3516C2semidirect
12. C89×#3515C2semidirect
13. C89×#3515C2semidirect
14. C89×#3511C2semidirect
15. C89×#3507C2semidirect
16. C89×#3504C2semidirect
17. C89×#3502C2semidirect
18. C89×#3482C2semidirect
19. C89×#3482C2semidirect
20. C89×#3480C2semidirect
21. C89×#3480C2semidirect
22. Q8×#41×C89C2semidirect
23. C2×#557×C89C2semidirect
638. #63033C89direct (N × H)
646. #3565C2×C89semidirect
647. #3559C2×C89semidirect
648. #3557C2×C89semidirect
649. #3555C2×C89semidirect
650. #3554C2×C89semidirect
651. #3552C2×C89semidirect
652. #3524C2×C89semidirect
653. #3522C2×C89semidirect
654. #3522C2×C89semidirect
655. #3517C2×C89semidirect
656. #3516C2×C89semidirect
657. #3515C2×C89semidirect
658. #3515C2×C89semidirect
659. #3511C2×C89semidirect
660. #3507C2×C89semidirect
661. #3504C2×C89semidirect
662. #3502C2×C89semidirect
663. #3482C2×C89semidirect
664. #3482C2×C89semidirect
665. #3480C2×C89semidirect
666. #3480C2×C89semidirect
667. Q8×#41C2×C89semidirect
668. C2×#557C2×C89semidirect
669. C89#63033direct (N × H)

Maximal subgroups

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

subgroupindex
C89×#35652
C89×#35592
C89×#35572
C89×#35552
C89×#35542
C89×#35522
C89×#35242
C89×#35222
C89×#35172
C89×#35162
C89×#35152
C89×#35112
C89×#35072
C89×#35042
C89×#35022
C89×#34822
C89×#34802
Q8×#41×C892
C2×#557×C892
#6303389