Finite Group Databasebeta

← #36762301

Subgroups — #36762301

Order 22784.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028539C211yesmaximal, characteristic, complemented
2#26028534C211yesmaximal, characteristic, complemented
3#26028105C211yesmaximal, characteristic, complemented
4#26027918C211yesmaximal, characteristic, complemented
5#26027889C211yesmaximal, characteristic, complemented
6#26027874C211yesmaximal, characteristic, complemented
7#26027873C211yesmaximal, characteristic, complemented
8#26027577C211yesmaximal, characteristic, complemented
9#26027532C211yesmaximal, characteristic, complemented
10#26027478C211yesmaximal, characteristic, complemented
11#26027371C211yesmaximal, characteristic, complemented
12#26027252C211yesmaximal, characteristic, complemented
13#26027051C211yesmaximal, characteristic, complemented
14#26026899C211yesmaximal, characteristic, complemented
15#26026884C211yesmaximal, characteristic, complemented
16#26026803C211yesmaximal, characteristic, complemented
17#26026689C211yesmaximal, characteristic, complemented
18#26026557C211yesmaximal, characteristic, complemented
19#26025964C211yesmaximal, characteristic, complemented
20#26025964C211yesmaximal, characteristic, complemented
21#26024637C211yesmaximal, characteristic, complemented
22#26024578C211yesmaximal, characteristic, complemented
23#26024492C211yesmaximal, characteristic, complemented
24#26024372C211yesmaximal, characteristic, complemented
25#26023803C211yesmaximal, characteristic, complemented
26#26023788C211yesmaximal, characteristic, complemented
27#26023729C211yesmaximal, characteristic, complemented
28#26023714C211yesmaximal, characteristic, complemented
29#26022910C211yesmaximal, characteristic, complemented
30#26022910C211yesmaximal, characteristic, complemented
31C2×#386×C89C211yesmaximal, characteristic, complemented
32C2×#15668005C2211yescharacteristic, complemented
33C2×#15667998C2211yescharacteristic, complemented
34C2×#15667995C2211yescharacteristic
35C2×#15667995C2211yescharacteristic
36C2×#15667994C2211yescharacteristic, complemented
37C2×#15667991C2211yescharacteristic
38C2×#15667991C2211yescharacteristic, complemented
39C2×#15667991C2211yescharacteristic, complemented
40C2×#15667986C2211yescharacteristic
41C2×#15667986C2211yescharacteristic, complemented
42C2×#15667986C2211yescharacteristic, complemented
43C2×#15667985C2211yescharacteristic, complemented
44C2×#15667981C2211yescharacteristic
45C2×#15667981C2211yescharacteristic
46C2×#15667981C2211yescharacteristic
47C2×#15667981C2211yescharacteristic
48C2×C4×C22⋊D89C2211yescharacteristic
49C2×C4×C22⋊D89C2211yescharacteristic
50C89⋊#401C2211yescharacteristic, complemented
51#19151540C2211yescharacteristic, complemented
52#19151540C2211yescharacteristic, complemented
53#19151539C2211yescharacteristic, complemented
54#19151539C2211yescharacteristic, complemented
55#19151539C2211yescharacteristic, complemented
56#19151538C2211yescharacteristic, complemented
57#19151534C2211yescharacteristic, complemented
58#19151532C2211yescharacteristic, complemented
59#19151532C2211yescharacteristic, complemented
60#19151527C2211yescharacteristic, complemented
61#19151527C2211yescharacteristic, complemented
62#19151527C2211yescharacteristic, complemented
63#19151526C2211yescharacteristic, complemented
64#19151526C2211yescharacteristic, complemented
65#19151526C2211yescharacteristic, complemented
66#19151526C2211yescharacteristic, complemented
67#19151525C2211yescharacteristic, complemented
68#19151523C2211yescharacteristic, complemented
69#19151522C2211yescharacteristic, complemented
70#19151521C2211yescharacteristic, complemented
71#19151521C2211yescharacteristic, complemented
72#19151516C2211yescharacteristic, complemented
73#19151514C2211yescharacteristic, complemented
74#19151514C2211yescharacteristic, complemented
75#19151513C2211yescharacteristic, complemented
76#19151513C2211yescharacteristic, complemented
77#19151513C2211yescharacteristic, complemented
78#19151513C2211yescharacteristic, complemented
79#19151512C2211yescharacteristic
80#19151512C2211yescharacteristic
81#19151512C2211yescharacteristic
82#19151512C2211yescharacteristic
83#19151512C2211yescharacteristic
84#19151512C2211yescharacteristic
85#19151512C2211yescharacteristic
86#19151512C2211yescharacteristic
87#19151511C2211yescharacteristic, complemented
88#19151510C2211yescharacteristic, complemented
89#19151507C2211yescharacteristic, complemented
90#19151506C2211yescharacteristic
91#19151506C2211yescharacteristic
92#19151506C2211yescharacteristic
93#19151506C2211yescharacteristic
94#19151506C2211yescharacteristic
95#19151506C2211yescharacteristic
96#19151506C2211yescharacteristic
97#19151506C2211yescharacteristic
98#19151502C2211yescharacteristic, complemented
99#19151498C2211yescharacteristic, complemented
100#19151498C2211yescharacteristic, complemented
101#19151498C2211yescharacteristic, complemented
102#19151498C2211yescharacteristic, complemented
103#19151498C2211yescharacteristic, complemented
104#19151498C2211yescharacteristic, complemented
105#19151495C2211yescharacteristic, complemented
106#19151492C2211yescharacteristic, complemented
107#19151492C2211yescharacteristic, complemented
108#19151492C2211yescharacteristic, complemented
109#19151492C2211yescharacteristic, complemented
110#19151492C2211yescharacteristic, complemented
111#19151492C2211yescharacteristic, complemented
112#19151491C2211yescharacteristic, complemented
113#19151491C2211yescharacteristic, complemented
114#19151491C2211yescharacteristic, complemented
115#19151491C2211yescharacteristic, complemented
116#19151490C2211yescharacteristic, complemented
117#19151487C2211yescharacteristic, complemented
118#19151487C2211yescharacteristic, complemented
119#19151486C2211yescharacteristic, complemented
120#19151486C2211yescharacteristic, complemented
121#19151486C2211yescharacteristic, complemented
122#19151486C2211yescharacteristic, complemented
123#19151486C2211yescharacteristic, complemented
124#19151486C2211yescharacteristic, complemented
125#19151485C2211yescharacteristic, complemented
126#19151483C2211yescharacteristic, complemented
127#19151481C2211yescharacteristic, complemented
128#19151480C2211yescharacteristic, complemented
129#19151480C2211yescharacteristic, complemented
130#19151477C2211yescharacteristic
131#19151477C2211yescharacteristic
132#19151477C2211yescharacteristic
133#19151477C2211yescharacteristic
134#19151477C2211yescharacteristic, complemented
135#19151477C2211yescharacteristic, complemented
136#19151477C2211yescharacteristic, complemented
137#19151477C2211yescharacteristic, complemented
138#19151476C2211yescharacteristic, complemented
139#19151474C2211yescharacteristic, complemented
140#19151474C2211yescharacteristic, complemented
141#19151474C2211yescharacteristic, complemented
142#19151474C2211yescharacteristic, complemented
143#19151474C2211yescharacteristic, complemented
144#19151474C2211yescharacteristic, complemented
145#19151472C2211yescharacteristic, complemented
146#19151471C2211yescharacteristic
147#19151471C2211yescharacteristic
148#19151471C2211yescharacteristic
149#19151471C2211yescharacteristic
150#19151471C2211yescharacteristic, complemented
151#19151471C2211yescharacteristic, complemented
152#19151471C2211yescharacteristic, complemented
153#19151471C2211yescharacteristic, complemented
154#19151465C2211yescharacteristic, complemented
155#19151462C2211yescharacteristic, complemented
156#19151461C2211yescharacteristic
157#19151461C2211yescharacteristic
158#19151460C2211yescharacteristic, complemented
159#19151458C2211yescharacteristic
160#19151458C2211yescharacteristic
161#19151458C2211yescharacteristic, complemented
162#19151458C2211yescharacteristic, complemented
163#19151458C2211yescharacteristic, complemented
164#19151458C2211yescharacteristic, complemented
165#19151457C2211yescharacteristic, complemented
166#19151454C2211yescharacteristic
167#19151454C2211yescharacteristic
168#19151454C2211yescharacteristic
169#19151454C2211yescharacteristic
170C4×C22⋊Dic89C2211yescharacteristic
171C4×C22⋊Dic89C2211yescharacteristic
172C23×D4×C89C2211yescharacteristic
173C24×C4×C89C2211yescharacteristic
174C22×C22⋊C4×C89C2211yescharacteristic
175C22×C22⋊C4×C89C2211yescharacteristic
176C22×C22⋊C4×C89C2211yescharacteristic
177#386×C89C2211yescharacteristic
178#386×C89C2211yescharacteristic
179#386×C89C2211yescharacteristic
180#386×C89C2211yescharacteristic
181#386×C89C2211yescharacteristic
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic
185C2×#95×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C22×Dic178C2311yescharacteristic
188C22×D356C2311yescharacteristic
189C22×C22⋊D89C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C4×D89C2311yescharacteristic
200C22×C4×D89C2311yescharacteristic
201#15668005—42no—
202#15667998—42no—
203#15667995—42no—
204#15667995—42no—
205#15667994—42no—
206#15667991—42no—
207#15667991—42no—
208#15667991—42no—
209#15667986—42no—
210#15667986—42no—
211#15667986—42no—
212#15667985—42no—
213#15667981—24no—
214#15667981—24no—
215#15667981—42no—
216#15667981—42no—
217C4×C22⋊D89—42no—
218C4×C22⋊D89—42no—
219C2×C4⋊Dic89C2311yescharacteristic
220C2×C4⋊Dic89C2311yescharacteristic
221C2×C4⋊Dic89C2311yescharacteristic
222C2×C4⋊Dic89C2311yescharacteristic
223C2×C4⋊Dic89C2311yescharacteristic
224C2×C4⋊Dic89C2311yescharacteristic
225C2×#13083553C2311yescharacteristic
226C2×#13083553C2311yescharacteristic
227C2×#13083553C2311yescharacteristic
228C2×#13083553C2311yescharacteristic
229C2×#13083553C2311yescharacteristic
230C2×#13083553C2311yescharacteristic
231C2×#13083553C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×C22⋊Dic89C2311yescharacteristic
242C2×C22⋊Dic89C2311yescharacteristic
243C2×C22⋊Dic89C2311yescharacteristic
244C2×C22⋊Dic89C2311yescharacteristic
245C2×C22⋊Dic89C2311yescharacteristic
246C2×C22⋊Dic89C2311yescharacteristic
247C2×C22⋊Dic89C2311yescharacteristic
248C2×C22⋊Dic89C2311yescharacteristic
249C2×C22⋊Dic89C2311yescharacteristic
250C2×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
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×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×C4×Dic89C2311yescharacteristic
288C2×C4×Dic89C2311yescharacteristic
289C2×C4×Dic89C2311yescharacteristic
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293#15667919C2311yescharacteristic
294#15667919C2311yescharacteristic
295#15667919C2311yescharacteristic
296#15667919C2311yescharacteristic
297#15667919C2311yescharacteristic
298#15667919C2311yescharacteristic
299#15667919C2311yescharacteristic
300#15667919C2311yescharacteristic
301#15667919C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325C25×C89C2311yescharacteristic
326C25×C89C2311yescharacteristic
327C22×D4×C89—24no—
328C22×D4×C89—42no—
329C22×D4×C89—42no—
330C22×D4×C89C2311yescharacteristic
331C22×D4×C89C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C23×C4×C89—42no—
335C23×C4×C89—42no—
336C23×C4×C89—42no—
337C23×C4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339C23×C4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343C23×C4×C89C2311yescharacteristic
344C23×C4×C89C2311yescharacteristic
345C23×C4×C89C2311yescharacteristic
346C2×C22⋊C4×C89—42no—
347C2×C22⋊C4×C89—42no—
348C2×C22⋊C4×C89—42no—
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361#95×C89C2311yescharacteristic
362#95×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89C2411yescharacteristic
370C23×D89C2411yescharacteristic
371C2×Dic178—22no—
372C2×Dic178—41no—
373C2×Dic178—41no—
374C2×D356—22no—
375C2×D356—41no—
376C2×D356—41no—
377C2×C22⋊D89—22no—
378C2×C22⋊D89—22no—
379C2×C22⋊D89—22no—
380C2×C22⋊D89—22no—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—22no—
385C2×C22⋊D89—22no—
386C2×C22⋊D89—22no—
387C2×C22⋊D89—41no—
388C2×C22⋊D89—41no—
389C2×C22⋊D89—41no—
390C2×C22⋊D89—41no—
391C2×C22⋊D89—41no—
392C2×C22⋊D89—41no—
393C2×C22⋊D89—41no—
394C2×C22⋊D89—41no—
395C2×C22⋊D89—41no—
396C2×C22⋊D89—41no—
397C2×C22⋊D89—41no—
398C2×C22⋊D89—41no—
399C2×C22⋊D89—41no—
400C2×C22⋊D89—41no—
401C2×C22⋊D89—41no—
402C2×C22⋊D89—41no—
403C2×C22⋊D89—41no—
404C2×C22⋊D89—41no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407C22×Dic89C2411yescharacteristic
408C22×Dic89C2411yescharacteristic
409C22×Dic89C2411yescharacteristic
410C22×Dic89C2411yescharacteristic
411C22×Dic89C2411yescharacteristic
412C22×Dic89C2411yescharacteristic
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C22×Dic89C2411yescharacteristic
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C2×C4×D89—41no—
422C2×C4×D89—41no—
423C2×C4×D89—41no—
424C2×C4×D89—41no—
425C2×C4×D89—41no—
426C2×C4×D89—41no—
427C4⋊Dic89—22no—
428C4⋊Dic89—22no—
429C4⋊Dic89—41no—
430C4⋊Dic89—41no—
431C4⋊Dic89—41no—
432C4⋊Dic89—41no—
433#13083553—22no—
434#13083553—22no—
435#13083553—41no—
436#13083553—41no—
437#13083553—41no—
438#13083553—41no—
439#13083553—41no—
440#13083553—41no—
441#13083553—41no—
442#13083553—41no—
443#13083553—41no—
444#13083553—41no—
445#13083553—41no—
446#13083553—41no—
447#13083553—41no—
448#13083553—41no—
449C22⋊Dic89—22no—
450C22⋊Dic89—22no—
451C22⋊Dic89—22no—
452C22⋊Dic89—22no—
453C22⋊Dic89—22no—
454C22⋊Dic89—22no—
455C22⋊Dic89—22no—
456C22⋊Dic89—22no—
457C22⋊Dic89—22no—
458C22⋊Dic89—22no—
459C22⋊Dic89—41no—
460C22⋊Dic89—41no—
461C22⋊Dic89—41no—
462C22⋊Dic89—41no—
463C22⋊Dic89—41no—
464C22⋊Dic89—41no—
465C22⋊Dic89—41no—
466C22⋊Dic89—41no—
467C22⋊Dic89—41no—
468C22⋊Dic89—41no—
469C22⋊Dic89—41no—
470C22⋊Dic89—41no—
471C22⋊Dic89—41no—
472C22⋊Dic89—41no—
473C22⋊Dic89—41no—
474C22⋊Dic89—41no—
475C22⋊Dic89—41no—
476C22⋊Dic89—41no—
477C22⋊Dic89—41no—
478C22⋊Dic89—41no—
479#13083551—22no—
480#13083551—22no—
481#13083551—41no—
482#13083551—41no—
483#13083551—41no—
484#13083551—41no—
485#13083551—41no—
486#13083551—41no—
487#13083551—41no—
488#13083551—41no—
489#13083551—41no—
490#13083551—41no—
491#13083551—41no—
492#13083551—41no—
493#13083551—41no—
494#13083551—41no—
495C4×Dic89—41no—
496C4×Dic89—41no—
497C4×Dic89—41no—
498C4×Dic89—41no—
499C4×Dic89—41no—
500C4×Dic89—41no—
501C24×C89—22no—
502C24×C89—22no—
503C24×C89—22no—
504C24×C89—22no—
505C24×C89—22no—
506C24×C89—41no—
507C24×C89—41no—
508C24×C89—41no—
509C24×C89—41no—
510C24×C89—41no—
511C24×C89—41no—
512C24×C89—41no—
513C24×C89—41no—
514C24×C89#4114yes—
515C24×C89C2411yescharacteristic
516C24×C89C2411yescharacteristic
517C24×C89C2411yescharacteristic
518C24×C89C2411yescharacteristic
519C24×C89C2411yescharacteristic
520C2×D4×C89—22no—
521C2×D4×C89—22no—
522C2×D4×C89—22no—
523C2×D4×C89—22no—
524C2×D4×C89—41no—
525C2×D4×C89—41no—
526C2×D4×C89—41no—
527C2×D4×C89—41no—
528C2×D4×C89—41no—
529C2×D4×C89—41no—
530C2×D4×C89—41no—
531C2×D4×C89—41no—
532C2×D4×C89—416no—
533C22×C4×C89—22no—
534C22×C4×C89—22no—
535C22×C4×C89—22no—
536C22×C4×C89—22no—
537C22×C4×C89—22no—
538C22×C4×C89—22no—
539C22×C4×C89—22no—
540C22×C4×C89—22no—
541C22×C4×C89—22no—
542C22×C4×C89—22no—
543C22×C4×C89—22no—
544C22×C4×C89—22no—
545C22×C4×C89—22no—
546C22×C4×C89—41no—
547C22×C4×C89—41no—
548C22×C4×C89—41no—
549C22×C4×C89—41no—
550C22×C4×C89—41no—
551C22×C4×C89—41no—
552C22×C4×C89—41no—
553C22×C4×C89—41no—
554C22×C4×C89—41no—
555C22×C4×C89—41no—
556C22×C4×C89—41no—
557C22×C4×C89—41no—
558C22×C4×C89—41no—
559C22×C4×C89—41no—
560C22×C4×C89—416no—
561C22×C4×C89C2411yescharacteristic
562C22×C4×C89C2411yescharacteristic
563C22×C4×C89C2411yescharacteristic
564C22×C4×C89C2411yescharacteristic
565C22×C4×C89C2411yescharacteristic
566C22×C4×C89C2411yescharacteristic
567C22×C4×C89C2411yescharacteristic
568C22×C4×C89C2411yescharacteristic
569C22×C4×C89C2411yescharacteristic
570C22×C4×C89C2411yescharacteristic
571C22⋊C4×C89—22no—
572C22⋊C4×C89—22no—
573C22⋊C4×C89—22no—
574C22⋊C4×C89—22no—
575C22⋊C4×C89—41no—
576C22⋊C4×C89—41no—
577C22⋊C4×C89—41no—
578C22⋊C4×C89—41no—
579C22⋊C4×C89—41no—
580C22⋊C4×C89—41no—
581C22⋊C4×C89—41no—
582C22⋊C4×C89—41no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—28no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—21no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—21no—
611C23×C89—21no—
612C23×C89—21no—
613C23×C89—21no—
614C23×C89—44no—
615C23×C89—44no—
616C23×C89—44no—
617C23×C89—44no—
618C23×C89—44no—
619C23×C89—44no—
620C23×C89—44no—
621C23×C89—44no—
622C23×C89—44no—
623C23×C89—82no—
624C23×C89—82no—
625C23×C89—82no—
626C23×C89—82no—
627C23×C89C2×#4112yes—
628C23×C89C2×#4112yes—
629C23×C89C2×#4112yes—
630C23×C89H(5,𝔽2)12yes—
631C23×C89H(5,𝔽2)12yes—
632C23×C89C2511yescharacteristic
633C22×D89—21no—
634C22×D89—21no—
635C22×D89—21no—
636C22×D89—21no—
637C22×D89—21no—
638C22×D89—21no—
639C22×D89—21no—
640C22×D89—21no—
641C22×D89—21no—
642C22×D89—21no—
643C22×D89—21no—
644C22×D89—21no—
645C22×D89—21no—
646C22×D89—21no—
647D4×C89—44no—
648D4×C89—44no—
649D4×C89—44no—
650D4×C89—44no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—21no—
668C2×C4×C89—21no—
669C2×C4×C89—21no—
670C2×C4×C89—21no—
671C2×C4×C89—21no—
672C2×C4×C89—21no—
673C2×C4×C89—21no—
674C2×C4×C89—21no—
675C2×C4×C89—21no—
676C2×C4×C89—21no—
677C2×C4×C89—21no—
678C2×C4×C89—21no—
679C2×C4×C89—44no—
680C2×C4×C89—44no—
681C2×C4×C89—44no—
682C2×C4×C89—44no—
683C2×C4×C89—44no—
684C2×C4×C89—44no—
685C2×C4×C89—44no—
686C2×C4×C89—82no—
687C2×C4×C89—82no—
688C2×C4×C89H(5,𝔽2)12yes—
689C2×C4×C89H(5,𝔽2)12yes—
690C22⋊D89—44no—
691C22⋊D89—44no—
692C22⋊D89—82no—
693C22⋊D89—82no—
694C22⋊D89—82no—
695C22⋊D89—82no—
696C22⋊D89—82no—
697C22⋊D89—82no—
698C22⋊D89—82no—
699C22⋊D89—82no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—21no—
716C2×Dic89—21no—
717C2×Dic89—21no—
718C2×Dic89—21no—
719C2×Dic89—21no—
720C2×Dic89—21no—
721C2×Dic89—21no—
722C2×Dic89—21no—
723C2×Dic89—21no—
724C2×Dic89—21no—
725C2×Dic89—21no—
726C2×Dic89—21no—
727C2×Dic89—21no—
728C2×Dic89—21no—
729C2×Dic89—21no—
730C2×Dic89—21no—
731C2×Dic89—21no—
732C2×Dic89—21no—
733C2×Dic89—21no—
734C2×Dic89—21no—
735C2×Dic89—21no—
736C2×Dic89—21no—
737C2×Dic89—21no—
738C2×Dic89—21no—
739C2×Dic89—21no—
740C2×Dic89—21no—
741C2×Dic89—21no—
742D356—82no—
743C4×D89—82no—
744C4×D89—82no—
745Dic178—82no—
746C22×C89—22no—
747C22×C89—22no—
748C22×C89—22no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89—22no—
753C22×C89—22no—
754C22×C89—22no—
755C22×C89—22no—
756C22×C89—22no—
757C22×C89—22no—
758C22×C89—416no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89—41no—
764C22×C89—41no—
765C22×C89—41no—
766C22×C89—41no—
767C22×C89—41no—
768C22×C89—41no—
769C22×C89—41no—
770C22×C89—41no—
771C22×C89—41no—
772C22×C89—41no—
773C22×C89—41no—
774C22×C89—41no—
775C22×C89—41no—
776C22×C89—41no—
777C22×C89—41no—
778C22×C89—41no—
779C22×C89—41no—
780C22×C89—41no—
781C22×C89—88no—
782C22×C89#53814yes—
783C22×C89C22×#4111yescharacteristic
784C22×C89C2×H(5,𝔽2)11yescharacteristic
785C22×C89C2×H(5,𝔽2)11yescharacteristic
786C22×C89C2×H(5,𝔽2)11yescharacteristic
787C22×C89C2×H(5,𝔽2)11yescharacteristic
788C22×C89#58511yescharacteristic
789C22×C89#58511yescharacteristic
790C2×D89—41no—
791C2×D89—41no—
792C2×D89—41no—
793C2×D89—41no—
794C2×D89—41no—
795C2×D89—41no—
796C2×D89—41no—
797C2×D89—41no—
798C2×D89—41no—
799C2×D89—41no—
800C2×D89—41no—
801C2×D89—41no—
802C2×D89—41no—
803C2×D89—41no—
804C4×C89—22no—
805C4×C89—22no—
806C4×C89—41no—
807C4×C89—41no—
808C4×C89—41no—
809C4×C89—41no—
810C4×C89—41no—
811C4×C89—41no—
812C4×C89—41no—
813C4×C89—41no—
814Dic89—41no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819Dic89—41no—
820Dic89—41no—
821Dic89—41no—
822Dic89—41no—
823Dic89—41no—
824Dic89—41no—
825Dic89—41no—
826Dic89—41no—
827Dic89—41no—
828#36758—891nomaximal, Sylow
829C2×C89—24no—
830C2×C89—42no—
831C2×C89—42no—
832C2×C89—81no—
833C2×C89—81no—
834C2×C89C2×#53811yescharacteristic
835C2×C89#350511yescharacteristic
836C2×C89#350511yescharacteristic
837C2×C89#353211yescharacteristic
838C2×C89#353311yescharacteristic
839C2×C89#354211yescharacteristic
840C2×C89#354211yescharacteristic
841D89—81no—
842D89—81no—
843#2848—891no—
844#2847—891no—
845#2797—891no—
846#2781—891no—
847#2779—891no—
848#2778—891no—
849#2778—891no—
850#2756—891no—
851#2753—891no—
852#2749—891no—
853#2741—891no—
854#2730—891no—
855#2714—891no—
856#2703—891no—
857#2702—891no—
858#2696—891no—
859#2688—891no—
860#2676—891no—
861#2613—891no—
862#2613—891no—
863#2493—891no—
864#2488—891no—
865#2480—891no—
866#2472—891no—
867#2425—891no—
868#2424—891no—
869#2419—891no—
870#2418—891no—
871#2321—891no—
872#2321—891no—
873C2×#386D8911yescharacteristic, complemented
874C89#3675811yescharacteristic, complemented, Sylow
875C23×D4C2×D8911yescharacteristic
876C24×C4C2×D8911yescharacteristic
877C2×#126—891no—
878C2×#124—891no—
879C2×#123—891no—
880C2×#123—891no—
881C2×#123—891no—
882C2×C22⋊Q8—891no—
883C2×C22⋊Q8—891no—
884C2×C22⋊Q8—891no—
885C2×#121—891no—
886C2×#121—891no—
887C2×#121—891no—
888C2×#121—891no—
889C2×#120—891no—
890C2×#120—891no—
891C2×#120—891no—
892C2×#120—891no—
893C2×C4×D4—891no—
894C2×C4×D4—891no—
895C22×C22⋊C4C2×D8911yescharacteristic
896C22×C22⋊C4C2×D8911yescharacteristic
897C22×C22⋊C4C2×D8911yescharacteristic
898#401—891no—
899#400—891no—
900#400—891no—
901#400—891no—
902#400—891no—
903#400—891no—
904#400—891no—
905#399—891no—
906#398—891no—
907#398—891no—
908#397—891no—
909#397—891no—
910#397—891no—
911#397—891no—
912#397—891no—
913#397—891no—
914#397—891no—
915#397—891no—
916#397—891no—
917#396—891no—
918#396—891no—
919#396—891no—
920#394—891no—
921#394—891no—
922#394—891no—
923#394—891no—
924#394—891no—
925#394—891no—
926#394—891no—
927#394—891no—
928#394—891no—
929#394—891no—
930#394—891no—
931#394—891no—
932#394—891no—
933#394—891no—
934#394—891no—
935#393—891no—
936#393—891no—
937#392—891no—
938#392—891no—
939#392—891no—
940#392—891no—
941#392—891no—
942#392—891no—
943#392—891no—
944#392—891no—
945#392—891no—
946#391—891no—
947#390—891no—
948#390—891no—
949#390—891no—
950#390—891no—
951#390—891no—
952#390—891no—
953#389—891no—
954#388—891no—
955#388—891no—
956#388—891no—
957#388—891no—
958#388—891no—
959#388—891no—
960#388—891no—
961#388—891no—
962#388—891no—
963#388—891no—
964#388—891no—
965#388—891no—
966#388—891no—
967#388—891no—
968#388—891no—
969#388—891no—
970#388—891no—
971#388—891no—
972#388—891no—
973#387—891no—
974#387—891no—
975#387—891no—
976#387—891no—
977#387—891no—
978#386—891no—
979#386—891no—
980#386—891no—
981#386—891no—
982#386—891no—
983#386—891no—
984#386—891no—
985#386—891no—
986#386—891no—
987#386—891no—
988#386—891no—
989#386—891no—
990#386—891no—
991#386—891no—
992#386—891no—
993#386C2×D8911yescharacteristic
994#386C2×D8911yescharacteristic
995#386C2×D8911yescharacteristic
996#386C2×D8911yescharacteristic
997#386C2×D8911yescharacteristic
998#386C2×D8911yescharacteristic
999#386C2×D8911yescharacteristic
1000#386C2×D8911yescharacteristic
1001#385—891no—
1002#385—891no—
1003#385—891no—
1004#385—891no—
1005#385—891no—
1006#385—891no—
1007#385—891no—
1008#385—891no—
1009#385—891no—
1010#383—891no—
1011#382—891no—
1012#381—891no—
1013#381—891no—
1014#381—891no—
1015#380—891no—
1016#380—891no—
1017#380—891no—
1018#380—891no—
1019#380—891no—
1020#380—891no—
1021#380—891no—
1022#379—891no—
1023#379—891no—
1024#379—891no—
1025#379—891no—
1026C4×C22⋊C4—891no—
1027C4×C22⋊C4—891no—
1028C2×#95C2×D8911yescharacteristic
1029C2×#95C2×D8911yescharacteristic
1030C25C22×D8911yescharacteristic
1031C25C22×D8911yescharacteristic
1032C22×Q8—891no—
1033C22×D4—24no—
1034C22×D4—42no—
1035C22×D4—42no—
1036C22×D4—891no—
1037C22×D4—891no—
1038C22×D4—891no—
1039C22×D4—891no—
1040C22×D4—891no—
1041C22×D4—891no—
1042C22×D4—891no—
1043C22×D4—891no—
1044C22×D4—891no—
1045C22×D4—891no—
1046C22×D4—891no—
1047C22×D4C22×D8911yescharacteristic
1048C22×D4C22×D8911yescharacteristic
1049C22×D4C22×D8911yescharacteristic
1050C22×D4C22×D8911yescharacteristic
1051C23×C4—42no—
1052C23×C4—42no—
1053C23×C4—42no—
1054C23×C4—891no—
1055C23×C4—891no—
1056C23×C4C22×D8911yescharacteristic
1057C23×C4C22×D8911yescharacteristic
1058C23×C4C22×D8911yescharacteristic
1059C23×C4C22×D8911yescharacteristic
1060C23×C4C22×D8911yescharacteristic
1061C23×C4C22×D8911yescharacteristic
1062C23×C4C22×D8911yescharacteristic
1063C23×C4C22×D8911yescharacteristic
1064C23×C4C22×D8911yescharacteristic
1065#126—3562no—
1066#124—3562no—
1067#123—3562no—
1068#123—3562no—
1069#123—3562no—
1070C22⋊Q8—3562no—
1071C22⋊Q8—3562no—
1072C22⋊Q8—3562no—
1073#121—3562no—
1074#121—3562no—
1075#121—3562no—
1076#121—3562no—
1077#120—3562no—
1078#120—3562no—
1079#120—1784no—
1080#120—1784no—
1081C4×D4—3562no—
1082C4×D4—3562no—
1083C2×C4⋊C4—891no—
1084C2×C4⋊C4—891no—
1085C2×C4⋊C4—891no—
1086C2×C4⋊C4—891no—
1087C2×C4⋊C4—891no—
1088C2×C4⋊C4—891no—
1089C2×C4⋊C4—891no—
1090C2×C4⋊C4—891no—
1091C2×C4⋊C4—891no—
1092C2×C4⋊C4—891no—
1093C2×C4⋊C4—891no—
1094C2×C4⋊C4—891no—
1095C2×C4⋊C4—891no—
1096C2×C4⋊C4—891no—
1097C2×C4⋊C4—891no—
1098C2×C4⋊C4—891no—
1099C2×C4⋊C4—891no—
1100C2×C4⋊C4—891no—
1101C2×C4⋊C4—891no—
1102C2×C4⋊C4—891no—
1103C2×C4⋊C4—891no—
1104C2×C4⋊C4—891no—
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—42no—
1107C2×C22⋊C4—42no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—891no—
1123C2×C22⋊C4—891no—
1124C2×C22⋊C4—891no—
1125C2×C22⋊C4—891no—
1126C2×C22⋊C4—891no—
1127C2×C22⋊C4—891no—
1128C2×C22⋊C4—891no—
1129C2×C22⋊C4—891no—
1130C2×C22⋊C4—891no—
1131C2×C22⋊C4—891no—
1132C2×C22⋊C4—891no—
1133C2×C22⋊C4—891no—
1134C2×C22⋊C4—891no—
1135C2×C22⋊C4—891no—
1136C2×C22⋊C4—891no—
1137C2×C22⋊C4—891no—
1138C2×C22⋊C4—891no—
1139C2×C22⋊C4—891no—
1140C2×C22⋊C4—891no—
1141C2×C22⋊C4—891no—
1142C2×C22⋊C4—891no—
1143C2×C22⋊C4—891no—
1144C2×C22⋊C4—891no—
1145C2×C22⋊C4—891no—
1146C2×C22⋊C4—891no—
1147C2×C22⋊C4—891no—
1148C2×C22⋊C4—891no—
1149C2×C22⋊C4—891no—
1150C2×C22⋊C4—891no—
1151C2×C22⋊C4—891no—
1152C2×C22⋊C4—891no—
1153C2×C22⋊C4—891no—
1154C2×C22⋊C4C22×D8911yescharacteristic
1155C2×C22⋊C4C22×D8911yescharacteristic
1156C2×C22⋊C4C22×D8911yescharacteristic
1157C2×C22⋊C4C22×D8911yescharacteristic
1158C2×C22⋊C4C22×D8911yescharacteristic
1159C2×C22⋊C4C22×D8911yescharacteristic
1160C2×C22⋊C4C22×D8911yescharacteristic
1161C2×C22⋊C4C22×D8911yescharacteristic
1162C2×C22⋊C4C22×D8911yescharacteristic
1163C2×C22⋊C4C22×D8911yescharacteristic
1164C2×C22⋊C4C22×D8911yescharacteristic
1165C2×C22⋊C4C22×D8911yescharacteristic
1166C2×C42—891no—
1167C2×C42—891no—
1168C2×C42—891no—
1169C2×C42—891no—
1170C2×C42—891no—
1171C2×C42—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95—891no—
1180#95—891no—
1181#95—891no—
1182#95—891no—
1183#95—891no—
1184#95—891no—
1185#95—891no—
1186#95—891no—
1187#95—891no—
1188#95—891no—
1189#95—891no—
1190#95—891no—
1191#95—891no—
1192#95—891no—
1193#95—891no—
1194#95—891no—
1195#95—891no—
1196#95—891no—
1197#95—891no—
1198#95—891no—
1199#95—891no—
1200#95—891no—
1201#95—891no—
1202#95—891no—
1203#95—891no—
1204#95C22×D8911yescharacteristic
1205#95C22×D8911yescharacteristic
1206#95C22×D8911yescharacteristic
1207#95C22×D8911yescharacteristic
1208#95C22×D8911yescharacteristic
1209#95C22×D8911yescharacteristic
1210#95C22×D8911yescharacteristic
1211#95C22×D8911yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—891no—
1226C24—891no—
1227C24#1308357414yes—
1228C24C23×D8911yescharacteristic
1229C24C23×D8911yescharacteristic
1230C24C23×D8911yescharacteristic
1231C24C23×D8911yescharacteristic
1232C24C23×D8911yescharacteristic
1233C2×Q8—3561no—
1234C2×Q8—3561no—
1235C2×Q8—1782no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—416no—
1249C2×D4—3561no—
1250C2×D4—3561no—
1251C2×D4—3561no—
1252C2×D4—3561no—
1253C2×D4—3561no—
1254C2×D4—3561no—
1255C2×D4—3561no—
1256C2×D4—3561no—
1257C2×D4—3561no—
1258C2×D4—3561no—
1259C2×D4—3561no—
1260C2×D4—3561no—
1261C2×D4—3561no—
1262C2×D4—3561no—
1263C2×D4—3561no—
1264C2×D4—3561no—
1265C2×D4—3561no—
1266C2×D4—3561no—
1267C2×D4—3561no—
1268C2×D4—3561no—
1269C2×D4—3561no—
1270C2×D4—3561no—
1271C2×D4—1782no—
1272C2×D4—1782no—
1273C2×D4—1782no—
1274C2×D4—1782no—
1275C2×D4—1782no—
1276C2×D4—1782no—
1277C2×D4—1782no—
1278C2×D4—1782no—
1279C2×D4—1782no—
1280C2×D4—1782no—
1281C2×D4—1782no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—416no—
1310C22×C4—891no—
1311C22×C4—891no—
1312C22×C4—891no—
1313C22×C4—891no—
1314C22×C4—891no—
1315C22×C4—891no—
1316C22×C4—891no—
1317C22×C4—891no—
1318C22×C4—891no—
1319C22×C4—891no—
1320C22×C4—891no—
1321C22×C4—891no—
1322C22×C4—891no—
1323C22×C4—891no—
1324C22×C4—3561no—
1325C22×C4—3561no—
1326C22×C4—3561no—
1327C22×C4—3561no—
1328C22×C4—3561no—
1329C22×C4—3561no—
1330C22×C4C23×D8911yescharacteristic
1331C22×C4C23×D8911yescharacteristic
1332C22×C4C23×D8911yescharacteristic
1333C22×C4C23×D8911yescharacteristic
1334C22×C4C23×D8911yescharacteristic
1335C22×C4C23×D8911yescharacteristic
1336C22×C4C23×D8911yescharacteristic
1337C22×C4C23×D8911yescharacteristic
1338C22×C4C23×D8911yescharacteristic
1339C22×C4C23×D8911yescharacteristic
1340C4⋊C4—3561no—
1341C4⋊C4—3561no—
1342C4⋊C4—3561no—
1343C4⋊C4—3561no—
1344C4⋊C4—3561no—
1345C4⋊C4—3561no—
1346C4⋊C4—3561no—
1347C4⋊C4—3561no—
1348C4⋊C4—3561no—
1349C4⋊C4—3561no—
1350C4⋊C4—3561no—
1351C4⋊C4—3561no—
1352C4⋊C4—3561no—
1353C4⋊C4—3561no—
1354C4⋊C4—3561no—
1355C4⋊C4—3561no—
1356C4⋊C4—3561no—
1357C4⋊C4—3561no—
1358C4⋊C4—1782no—
1359C4⋊C4—1782no—
1360C4⋊C4—1782no—
1361C4⋊C4—1782no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—3561no—
1375C22⋊C4—3561no—
1376C22⋊C4—3561no—
1377C22⋊C4—3561no—
1378C22⋊C4—3561no—
1379C22⋊C4—3561no—
1380C22⋊C4—3561no—
1381C22⋊C4—3561no—
1382C22⋊C4—3561no—
1383C22⋊C4—3561no—
1384C22⋊C4—3561no—
1385C22⋊C4—3561no—
1386C22⋊C4—3561no—
1387C22⋊C4—3561no—
1388C22⋊C4—3561no—
1389C22⋊C4—3561no—
1390C22⋊C4—3561no—
1391C22⋊C4—3561no—
1392C22⋊C4—3561no—
1393C22⋊C4—3561no—
1394C22⋊C4—3561no—
1395C22⋊C4—3561no—
1396C22⋊C4—3561no—
1397C22⋊C4—3561no—
1398C22⋊C4—3561no—
1399C22⋊C4—3561no—
1400C22⋊C4—3561no—
1401C22⋊C4—3561no—
1402C22⋊C4—3561no—
1403C22⋊C4—3561no—
1404C22⋊C4—3561no—
1405C22⋊C4—3561no—
1406C22⋊C4—3561no—
1407C22⋊C4—3561no—
1408C22⋊C4—1782no—
1409C22⋊C4—1782no—
1410C22⋊C4—1782no—
1411C22⋊C4—1782no—
1412C22⋊C4—1782no—
1413C22⋊C4—1782no—
1414C22⋊C4—1782no—
1415C22⋊C4—1782no—
1416C22⋊C4—1782no—
1417C22⋊C4—1782no—
1418C22⋊C4—1782no—
1419C22⋊C4—1782no—
1420C42—3561no—
1421C42—3561no—
1422C42—3561no—
1423C42—3561no—
1424C42—3561no—
1425C42—3561no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—28no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—82no—
1470C23—1781no—
1471C23—1781no—
1472C23—1781no—
1473C23—1781no—
1474C23—1781no—
1475C23—1781no—
1476C23—1781no—
1477C23—1781no—
1478C23—1781no—
1479C23—1781no—
1480C23—1781no—
1481C23—1781no—
1482C23—1781no—
1483C23—1781no—
1484C23C2×#1308357412yes—
1485C23C2×#1308357412yes—
1486C23C2×#1308357412yes—
1487C23#1566805712yes—
1488C23#1566805712yes—
1489C23C24×D8911yescharacteristic
1490Q8—7122no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—44no—
1495D4—3564no—
1496D4—3564no—
1497D4—7122no—
1498D4—7122no—
1499D4—7122no—
1500D4—7122no—
1501D4—7122no—
1502D4—7122no—
1503D4—7122no—
1504D4—7122no—
1505D4—7122no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—82no—
1542C2×C4—82no—
1543C2×C4—1781no—
1544C2×C4—1781no—
1545C2×C4—1781no—
1546C2×C4—1781no—
1547C2×C4—1781no—
1548C2×C4—1781no—
1549C2×C4—1781no—
1550C2×C4—1781no—
1551C2×C4—1781no—
1552C2×C4—1781no—
1553C2×C4—1781no—
1554C2×C4—1781no—
1555C2×C4—1781no—
1556C2×C4—1781no—
1557C2×C4—1781no—
1558C2×C4—1781no—
1559C2×C4—1781no—
1560C2×C4—1781no—
1561C2×C4—1781no—
1562C2×C4—1781no—
1563C2×C4—1781no—
1564C2×C4—1781no—
1565C2×C4—1781no—
1566C2×C4—1781no—
1567C2×C4—1781no—
1568C2×C4—1781no—
1569C2×C4—1781no—
1570C2×C4—1781no—
1571C2×C4—1781no—
1572C2×C4—1781no—
1573C2×C4—1781no—
1574C2×C4—1781no—
1575C2×C4—1781no—
1576C2×C4—1781no—
1577C2×C4—1781no—
1578C2×C4—1781no—
1579C2×C4—1781no—
1580C2×C4—1781no—
1581C2×C4—1781no—
1582C2×C4—1781no—
1583C2×C4—1781no—
1584C2×C4—1781no—
1585C2×C4—7122no—
1586C2×C4—7122no—
1587C2×C4#1566805712yes—
1588C2×C4#1566805712yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—88no—
1625C22—3561no—
1626C22—3561no—
1627C22—3561no—
1628C22—3561no—
1629C22—3561no—
1630C22—3561no—
1631C22—3561no—
1632C22—3561no—
1633C22—3561no—
1634C22—3561no—
1635C22—3561no—
1636C22—3561no—
1637C22—3561no—
1638C22—3561no—
1639C22#1915218614yes—
1640C22C22×#1308357411yescharacteristic
1641C22C2×#1566805711yescharacteristic
1642C22C2×#1566805711yescharacteristic
1643C22C2×#1566805711yescharacteristic
1644C22C2×#1566805711yescharacteristic
1645C22#1915243411yescharacteristic
1646C22#1915243411yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—3561no—
1658C4—3561no—
1659C4—3561no—
1660C4—3561no—
1661C4—3561no—
1662C4—3561no—
1663C4—3561no—
1664C4—3561no—
1665C4—3561no—
1666C4—3561no—
1667C4—3561no—
1668C4—3561no—
1669C4—3561no—
1670C4—3561no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—7121no—
1677C2—7121no—
1678C2C2×#1915218611yescharacteristic
1679C2#2603409111yescharacteristic
1680C2#2603409111yescharacteristic
1681C2#2603440711yescharacteristic
1682C2#2603442311yescharacteristic
1683C2#2603457211yescharacteristic
1684C2#2603457211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC2×#386×C89C2
hypercenterC2×#386D89
hypocenterC89#36758
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #26028539C2semidirect
2. #26028534C2semidirect
3. #26028105C2semidirect
4. #26027918C2semidirect
5. #26027889C2semidirect
6. #26027874C2semidirect
7. #26027873C2semidirect
8. #26027577C2semidirect
9. #26027532C2semidirect
10. #26027478C2semidirect
11. #26027371C2semidirect
12. #26027252C2semidirect
13. #26027051C2semidirect
14. #26026899C2semidirect
15. #26026884C2semidirect
16. #26026803C2semidirect
17. #26026689C2semidirect
18. #26026557C2semidirect
19. #26025964C2semidirect
20. #26025964C2semidirect
21. #26024637C2semidirect
22. #26024578C2semidirect
23. #26024492C2semidirect
24. #26024372C2semidirect
25. #26023803C2semidirect
26. #26023788C2semidirect
27. #26023729C2semidirect
28. #26023714C2semidirect
29. #26022910C2semidirect
30. #26022910C2semidirect
31. C2×#386×C89C2semidirect
32. C2×#15668005C22semidirect
33. C2×#15667998C22semidirect
36. C2×#15667994C22semidirect
38. C2×#15667991C22semidirect
39. C2×#15667991C22semidirect
41. C2×#15667986C22semidirect
42. C2×#15667986C22semidirect
43. C2×#15667985C22semidirect
50. C89⋊#401C22semidirect
51. #19151540C22semidirect
52. #19151540C22semidirect
53. #19151539C22semidirect
54. #19151539C22semidirect
55. #19151539C22semidirect
56. #19151538C22semidirect
57. #19151534C22semidirect
58. #19151532C22semidirect
59. #19151532C22semidirect
60. #19151527C22semidirect
61. #19151527C22semidirect
62. #19151527C22semidirect
63. #19151526C22semidirect
64. #19151526C22semidirect
65. #19151526C22semidirect
66. #19151526C22semidirect
67. #19151525C22semidirect
68. #19151523C22semidirect
69. #19151522C22semidirect
70. #19151521C22semidirect
71. #19151521C22semidirect
72. #19151516C22semidirect
73. #19151514C22semidirect
74. #19151514C22semidirect
75. #19151513C22semidirect
76. #19151513C22semidirect
77. #19151513C22semidirect
78. #19151513C22semidirect
87. #19151511C22semidirect
88. #19151510C22semidirect
89. #19151507C22semidirect
98. #19151502C22semidirect
99. #19151498C22semidirect
100. #19151498C22semidirect
101. #19151498C22semidirect
102. #19151498C22semidirect
103. #19151498C22semidirect
104. #19151498C22semidirect
105. #19151495C22semidirect
106. #19151492C22semidirect
107. #19151492C22semidirect
108. #19151492C22semidirect
109. #19151492C22semidirect
110. #19151492C22semidirect
111. #19151492C22semidirect
112. #19151491C22semidirect
113. #19151491C22semidirect
114. #19151491C22semidirect
115. #19151491C22semidirect
116. #19151490C22semidirect
117. #19151487C22semidirect
118. #19151487C22semidirect
119. #19151486C22semidirect
120. #19151486C22semidirect
121. #19151486C22semidirect
122. #19151486C22semidirect
123. #19151486C22semidirect
124. #19151486C22semidirect
125. #19151485C22semidirect
126. #19151483C22semidirect
127. #19151481C22semidirect
128. #19151480C22semidirect
129. #19151480C22semidirect
134. #19151477C22semidirect
135. #19151477C22semidirect
136. #19151477C22semidirect
137. #19151477C22semidirect
138. #19151476C22semidirect
139. #19151474C22semidirect
140. #19151474C22semidirect
141. #19151474C22semidirect
142. #19151474C22semidirect
143. #19151474C22semidirect
144. #19151474C22semidirect
145. #19151472C22semidirect
150. #19151471C22semidirect
151. #19151471C22semidirect
152. #19151471C22semidirect
153. #19151471C22semidirect
154. #19151465C22semidirect
155. #19151462C22semidirect
158. #19151460C22semidirect
161. #19151458C22semidirect
162. #19151458C22semidirect
163. #19151458C22semidirect
164. #19151458C22semidirect
165. #19151457C22semidirect
873. C2×#386D89semidirect
874. C89#36758semidirect

Maximal subgroups

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

subgroupindex
#260285392
#260285342
#260281052
#260279182
#260278892
#260278742
#260278732
#260275772
#260275322
#260274782
#260273712
#260272522
#260270512
#260268992
#260268842
#260268032
#260266892
#260265572
#260259642
#260246372
#260245782
#260244922
#260243722
#260238032
#260237882
#260237292
#260237142
#260229102
C2×#386×C892
#3675889