Finite Group Databasebeta

← #36763724

Subgroups — #36763724

Order 22784.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028567C211yesmaximal, characteristic, complemented
2#26028562C211yesmaximal, characteristic, complemented
3#26028088C211yesmaximal, characteristic, complemented
4#26027965C211yesmaximal, characteristic, complemented
5#26027589C211yesmaximal, characteristic, complemented
6#26027350C211yesmaximal, characteristic, complemented
7#26027305C211yesmaximal, characteristic, complemented
8#26027168C211yesmaximal, characteristic, complemented
9#26027009C211yesmaximal, characteristic, complemented
10#26027004C211yesmaximal, characteristic, complemented
11#26026958C211yesmaximal, characteristic, complemented
12#26026935C211yesmaximal, characteristic, complemented
13#26026928C211yesmaximal, characteristic, complemented
14#26026920C211yesmaximal, characteristic, complemented
15#26026797C211yesmaximal, characteristic, complemented
16#26026767C211yesmaximal, characteristic, complemented
17#26026734C211yesmaximal, characteristic, complemented
18#26026601C211yesmaximal, characteristic, complemented
19#26026057C211yesmaximal, characteristic, complemented
20#26026025C211yesmaximal, characteristic, complemented
21#26024492C211yesmaximal, characteristic, complemented
22#26024387C211yesmaximal, characteristic, complemented
23#26024061C211yesmaximal, characteristic, complemented
24#26023913C211yesmaximal, characteristic, complemented
25#26023714C211yesmaximal, characteristic, complemented
26#26023642C211yesmaximal, characteristic, complemented
27#26023626C211yesmaximal, characteristic
28#26023575C211yesmaximal, characteristic, complemented
29#26022910C211yesmaximal, characteristic, complemented
30#26022864C211yesmaximal, characteristic, complemented
31C2×#390×C89C211yesmaximal, characteristic, complemented
32C2×#15668006C2211yescharacteristic, complemented
33C2×#15668005C2211yescharacteristic, complemented
34C2×#15668004C2211yescharacteristic, complemented
35C2×#15668002C2211yescharacteristic, complemented
36C2×#15667996C2211yescharacteristic, complemented
37C2×#15667994C2211yescharacteristic, complemented
38C2×#15667993C2211yescharacteristic
39C2×#15667993C2211yescharacteristic
40C2×#15667991C2211yescharacteristic
41C2×#15667990C2211yescharacteristic, complemented
42C2×#15667989C2211yescharacteristic, complemented
43C2×#15667984C2211yescharacteristic
44C2×#15667984C2211yescharacteristic
45C2×#15667981C2211yescharacteristic
46C2×#15667981C2211yescharacteristic
47C2×C4×C22⋊D89C2211yescharacteristic
48C22×C22⋊Dic89C2211yescharacteristic
49C22×C22⋊Dic89C2211yescharacteristic
50#19151536C2211yescharacteristic, complemented
51#19151534C2211yescharacteristic, complemented
52#19151534C2211yescharacteristic, complemented
53#19151534C2211yescharacteristic, complemented
54#19151534C2211yescharacteristic, complemented
55#19151533C2211yescharacteristic, complemented
56#19151531C2211yescharacteristic, complemented
57#19151529C2211yescharacteristic, complemented
58#19151529C2211yescharacteristic, complemented
59#19151528C2211yescharacteristic, complemented
60#19151526C2211yescharacteristic, complemented
61#19151526C2211yescharacteristic, complemented
62#19151526C2211yescharacteristic, complemented
63#19151526C2211yescharacteristic, complemented
64#19151526C2211yescharacteristic, complemented
65#19151526C2211yescharacteristic, complemented
66#19151526C2211yescharacteristic, complemented
67#19151523C2211yescharacteristic, complemented
68#19151523C2211yescharacteristic, complemented
69#19151523C2211yescharacteristic, complemented
70#19151521C2211yescharacteristic, complemented
71#19151521C2211yescharacteristic, complemented
72#19151521C2211yescharacteristic, complemented
73#19151521C2211yescharacteristic, complemented
74#19151521C2211yescharacteristic, complemented
75#19151521C2211yescharacteristic, complemented
76#19151521C2211yescharacteristic, complemented
77#19151520C2211yescharacteristic, complemented
78#19151518C2211yescharacteristic, complemented
79#19151514C2211yescharacteristic, complemented
80#19151514C2211yescharacteristic, complemented
81#19151514C2211yescharacteristic, complemented
82#19151513C2211yescharacteristic, complemented
83#19151513C2211yescharacteristic, complemented
84#19151513C2211yescharacteristic, complemented
85#19151513C2211yescharacteristic, complemented
86#19151513C2211yescharacteristic, complemented
87#19151512C2211yescharacteristic
88#19151512C2211yescharacteristic
89#19151512C2211yescharacteristic
90#19151512C2211yescharacteristic
91#19151512C2211yescharacteristic
92#19151512C2211yescharacteristic
93#19151510C2211yescharacteristic, complemented
94#19151510C2211yescharacteristic, complemented
95#19151510C2211yescharacteristic, complemented
96#19151506C2211yescharacteristic
97#19151506C2211yescharacteristic
98#19151498C2211yescharacteristic, complemented
99#19151498C2211yescharacteristic, complemented
100#19151496C2211yescharacteristic, complemented
101#19151496C2211yescharacteristic, complemented
102#19151493C2211yescharacteristic, complemented
103#19151493C2211yescharacteristic, complemented
104#19151492C2211yescharacteristic, complemented
105#19151492C2211yescharacteristic, complemented
106#19151492C2211yescharacteristic, complemented
107#19151492C2211yescharacteristic, complemented
108#19151491C2211yescharacteristic, complemented
109#19151491C2211yescharacteristic, complemented
110#19151489C2211yescharacteristic, complemented
111#19151489C2211yescharacteristic, complemented
112#19151489C2211yescharacteristic, complemented
113#19151486C2211yescharacteristic, complemented
114#19151486C2211yescharacteristic, complemented
115#19151486C2211yescharacteristic, complemented
116#19151484C2211yescharacteristic, complemented
117#19151484C2211yescharacteristic, complemented
118#19151482C2211yescharacteristic, complemented
119#19151482C2211yescharacteristic, complemented
120#19151482C2211yescharacteristic, complemented
121#19151482C2211yescharacteristic, complemented
122#19151482C2211yescharacteristic, complemented
123#19151482C2211yescharacteristic, complemented
124#19151482C2211yescharacteristic, complemented
125#19151479C2211yescharacteristic, complemented
126#19151478C2211yescharacteristic
127#19151478C2211yescharacteristic
128#19151478C2211yescharacteristic
129#19151478C2211yescharacteristic
130#19151477C2211yescharacteristic
131#19151477C2211yescharacteristic
132#19151477C2211yescharacteristic
133#19151477C2211yescharacteristic
134#19151475C2211yescharacteristic, complemented
135#19151474C2211yescharacteristic, complemented
136#19151474C2211yescharacteristic, complemented
137#19151474C2211yescharacteristic, complemented
138#19151473C2211yescharacteristic, complemented
139#19151473C2211yescharacteristic, complemented
140#19151471C2211yescharacteristic
141#19151471C2211yescharacteristic
142#19151471C2211yescharacteristic
143#19151471C2211yescharacteristic
144#19151471C2211yescharacteristic
145#19151471C2211yescharacteristic
146#19151471C2211yescharacteristic
147#19151471C2211yescharacteristic
148#19151471C2211yescharacteristic
149#19151471C2211yescharacteristic
150#19151470C2211yescharacteristic, complemented
151#19151470C2211yescharacteristic, complemented
152#19151470C2211yescharacteristic, complemented
153#19151470C2211yescharacteristic, complemented
154#19151470C2211yescharacteristic, complemented
155#19151469C2211yescharacteristic, complemented
156#19151466C2211yescharacteristic, complemented
157#19151464C2211yescharacteristic, complemented
158#19151459C2211yescharacteristic, complemented
159#19151458C2211yescharacteristic
160#19151458C2211yescharacteristic
161#19151458C2211yescharacteristic
162#19151456C2211yescharacteristic, complemented
163#19151456C2211yescharacteristic, complemented
164#19151456C2211yescharacteristic, complemented
165#19151456C2211yescharacteristic, complemented
166#19151456C2211yescharacteristic, complemented
167#19151454C2211yescharacteristic
168#19151454C2211yescharacteristic
169#19151454C2211yescharacteristic
170#19151454C2211yescharacteristic
171C4×C22⋊Dic89C2211yescharacteristic
172C23×D4×C89C2211yescharacteristic
173C22×C4⋊C4×C89C2211yescharacteristic
174C22×C22⋊C4×C89C2211yescharacteristic
175C22×C22⋊C4×C89C2211yescharacteristic
176C22×C22⋊C4×C89C2211yescharacteristic
177C22×C22⋊C4×C89C2211yescharacteristic
178C22×C42×C89C2211yescharacteristic
179#390×C89C2211yescharacteristic
180#390×C89C2211yescharacteristic
181#390×C89C2211yescharacteristic
182#390×C89C2211yescharacteristic
183#390×C89C2211yescharacteristic
184#390×C89C2211yescharacteristic
185#390×C89C2211yescharacteristic
186#390×C89C2211yescharacteristic
187C22×Dic178C2311yescharacteristic
188C22×C22⋊D89C2311yescharacteristic
189C22×C22⋊D89C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C23×Dic89C2311yescharacteristic
194C23×Dic89C2311yescharacteristic
195C23×Dic89C2311yescharacteristic
196C23×Dic89C2311yescharacteristic
197C22×C4×D89C2311yescharacteristic
198#15668006—42no—
199#15668005—42no—
200#15668004—42no—
201#15668002—42no—
202#15667996—42no—
203#15667994—42no—
204#15667993—42no—
205#15667993—42no—
206#15667991—42no—
207#15667990—42no—
208#15667989—42no—
209#15667984—42no—
210#15667984—42no—
211#15667981—24no—
212#15667981—42no—
213C4×C22⋊D89—42no—
214C2×C4⋊Dic89C2311yescharacteristic
215C2×C4⋊Dic89C2311yescharacteristic
216C2×C4⋊Dic89C2311yescharacteristic
217C2×C4⋊Dic89C2311yescharacteristic
218C2×C4⋊Dic89C2311yescharacteristic
219C2×C4⋊Dic89C2311yescharacteristic
220C2×C4⋊Dic89C2311yescharacteristic
221C2×#13083553C2311yescharacteristic
222C2×#13083553C2311yescharacteristic
223C2×#13083553C2311yescharacteristic
224C2×#13083553C2311yescharacteristic
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×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×C22⋊Dic89—24no—
245C2×C22⋊Dic89—42no—
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×C22⋊Dic89C2311yescharacteristic
272C2×C22⋊Dic89C2311yescharacteristic
273C2×C22⋊Dic89C2311yescharacteristic
274C2×C22⋊Dic89C2311yescharacteristic
275C2×C22⋊Dic89C2311yescharacteristic
276C2×C22⋊Dic89C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×C4×Dic89C2311yescharacteristic
287C2×C4×Dic89C2311yescharacteristic
288C2×C4×Dic89C2311yescharacteristic
289#15667919C2311yescharacteristic
290#15667919C2311yescharacteristic
291#15667919C2311yescharacteristic
292#15667919C2311yescharacteristic
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×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
337C23×C4×C89C2311yescharacteristic
338C23×C4×C89C2311yescharacteristic
339C2×C4⋊C4×C89—42no—
340C2×C4⋊C4×C89C2311yescharacteristic
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C4⋊C4×C89C2311yescharacteristic
344C2×C22⋊C4×C89—42no—
345C2×C22⋊C4×C89—42no—
346C2×C22⋊C4×C89—42no—
347C2×C22⋊C4×C89—42no—
348C2×C22⋊C4×C89C2311yescharacteristic
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
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C22⋊C4×C89C2311yescharacteristic
364C2×C42×C89—42no—
365C2×C42×C89C2311yescharacteristic
366C2×C42×C89C2311yescharacteristic
367C2×C42×C89C2311yescharacteristic
368C2×C42×C89C2311yescharacteristic
369C23×D89C2411yescharacteristic
370C2×Dic178—41no—
371C2×Dic178—41no—
372C2×Dic178—41no—
373C2×C22⋊D89—22no—
374C2×C22⋊D89—22no—
375C2×C22⋊D89—22no—
376C2×C22⋊D89—22no—
377C2×C22⋊D89—22no—
378C2×C22⋊D89—41no—
379C2×C22⋊D89—41no—
380C2×C22⋊D89—41no—
381C2×C22⋊D89—41no—
382C2×C22⋊D89—41no—
383C2×C22⋊D89—41no—
384C2×C22⋊D89—41no—
385C2×C22⋊D89—41no—
386C2×C22⋊D89—41no—
387C2×C22⋊D89—41no—
388C22×Dic89—22no—
389C22×Dic89—22no—
390C22×Dic89—41no—
391C22×Dic89—41no—
392C22×Dic89—41no—
393C22×Dic89—41no—
394C22×Dic89—41no—
395C22×Dic89—41no—
396C22×Dic89—41no—
397C22×Dic89—41no—
398C22×Dic89—41no—
399C22×Dic89—41no—
400C22×Dic89C2411yescharacteristic
401C22×Dic89C2411yescharacteristic
402C22×Dic89C2411yescharacteristic
403C22×Dic89C2411yescharacteristic
404C22×Dic89C2411yescharacteristic
405C22×Dic89C2411yescharacteristic
406C22×Dic89C2411yescharacteristic
407C22×Dic89C2411yescharacteristic
408C22×Dic89C2411yescharacteristic
409C22×Dic89C2411yescharacteristic
410C22×Dic89C2411yescharacteristic
411C22×Dic89C2411yescharacteristic
412C22×Dic89C2411yescharacteristic
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C2×C4×D89—41no—
416C2×C4×D89—41no—
417C2×C4×D89—41no—
418C4⋊Dic89—22no—
419C4⋊Dic89—22no—
420C4⋊Dic89—41no—
421C4⋊Dic89—41no—
422C4⋊Dic89—41no—
423C4⋊Dic89—41no—
424C4⋊Dic89—41no—
425#13083553—22no—
426#13083553—22no—
427#13083553—22no—
428#13083553—22no—
429#13083553—22no—
430#13083553—22no—
431#13083553—22no—
432#13083553—41no—
433#13083553—41no—
434#13083553—41no—
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—
448C22⋊Dic89—22no—
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—22no—
482#13083551—41no—
483#13083551—41no—
484#13083551—41no—
485#13083551—41no—
486#13083551—41no—
487#13083551—41no—
488C4×Dic89—41no—
489C4×Dic89—41no—
490C4×Dic89—41no—
491C24×C89—22no—
492C24×C89—22no—
493C24×C89—22no—
494C24×C89—22no—
495C24×C89—22no—
496C24×C89—41no—
497C24×C89—41no—
498C24×C89—41no—
499C24×C89—41no—
500C24×C89—41no—
501C24×C89—41no—
502C24×C89—41no—
503C24×C89—41no—
504C24×C89#4114yes—
505C24×C89C2411yescharacteristic
506C24×C89C2411yescharacteristic
507C24×C89C2411yescharacteristic
508C24×C89C2411yescharacteristic
509C24×C89C2411yescharacteristic
510C2×D4×C89—22no—
511C2×D4×C89—22no—
512C2×D4×C89—22no—
513C2×D4×C89—22no—
514C2×D4×C89—22no—
515C2×D4×C89—22no—
516C2×D4×C89—22no—
517C2×D4×C89—22no—
518C2×D4×C89—41no—
519C2×D4×C89—41no—
520C2×D4×C89—41no—
521C2×D4×C89—41no—
522C2×D4×C89—416no—
523C22×C4×C89—22no—
524C22×C4×C89—22no—
525C22×C4×C89—22no—
526C22×C4×C89—22no—
527C22×C4×C89—22no—
528C22×C4×C89—22no—
529C22×C4×C89—22no—
530C22×C4×C89—22no—
531C22×C4×C89—41no—
532C22×C4×C89—41no—
533C22×C4×C89—41no—
534C22×C4×C89—41no—
535C22×C4×C89—41no—
536C22×C4×C89—41no—
537C22×C4×C89—41no—
538C22×C4×C89C2411yescharacteristic
539C22×C4×C89C2411yescharacteristic
540C22×C4×C89C2411yescharacteristic
541C22×C4×C89C2411yescharacteristic
542C22×C4×C89C2411yescharacteristic
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C4⋊C4×C89—22no—
549C4⋊C4×C89—22no—
550C4⋊C4×C89—41no—
551C4⋊C4×C89—41no—
552C22⋊C4×C89—22no—
553C22⋊C4×C89—22no—
554C22⋊C4×C89—22no—
555C22⋊C4×C89—22no—
556C22⋊C4×C89—41no—
557C22⋊C4×C89—41no—
558C22⋊C4×C89—41no—
559C22⋊C4×C89—41no—
560C22⋊C4×C89—41no—
561C22⋊C4×C89—41no—
562C22⋊C4×C89—41no—
563C22⋊C4×C89—41no—
564C22⋊C4×C89—41no—
565C22⋊C4×C89—41no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C42×C89—22no—
569C42×C89—22no—
570C42×C89—41no—
571C42×C89—41no—
572C23×C89—21no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89—21no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89—21no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—28no—
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—44no—
604C23×C89—44no—
605C23×C89—44no—
606C23×C89—44no—
607C23×C89—44no—
608C23×C89—82no—
609C23×C89—82no—
610C23×C89—82no—
611C23×C89—82no—
612C23×C89—82no—
613C23×C89—82no—
614C23×C89—82no—
615C23×C89—82no—
616C23×C89C2×#4112yes—
617C23×C89C2×#4112yes—
618C23×C89C2×#4112yes—
619C23×C89H(5,𝔽2)12yes—
620C23×C892−1+412yes—
621C23×C89C2511yescharacteristic
622C22×D89—21no—
623C22×D89—21no—
624C22×D89—21no—
625C22×D89—21no—
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629D4×C89—44no—
630D4×C89—44no—
631D4×C89—44no—
632D4×C89—44no—
633C2×C4×C89—28no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
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—44no—
662C2×C4×C89—44no—
663C2×C4×C89—82no—
664C2×C4×C89—82no—
665C2×C4×C89H(5,𝔽2)12yes—
666C2×C4×C89H(5,𝔽2)12yes—
667C2×C4×C89H(5,𝔽2)12yes—
668C22⋊D89—44no—
669C22⋊D89—82no—
670C22⋊D89—82no—
671C22⋊D89—82no—
672C22⋊D89—82no—
673C2×Dic89—21no—
674C2×Dic89—21no—
675C2×Dic89—21no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
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—82no—
719C2×Dic89—82no—
720C2×Dic89—82no—
721C2×Dic89—82no—
722C4×D89—82no—
723Dic178—82no—
724C22×C89—22no—
725C22×C89—22no—
726C22×C89—22no—
727C22×C89—22no—
728C22×C89—22no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—22no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89—41no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—88no—
759C22×C89—88no—
760C22×C89#53914yes—
761C22×C89C22×#4111yescharacteristic
762C22×C89C2×H(5,𝔽2)11yescharacteristic
763C22×C89C2×H(5,𝔽2)11yescharacteristic
764C22×C89C2×H(5,𝔽2)11yescharacteristic
765C22×C89C2×H(5,𝔽2)11yescharacteristic
766C22×C89C2×2−1+411yescharacteristic
767C22×C89#58511yescharacteristic
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89—41no—
775C4×C89—22no—
776C4×C89—22no—
777C4×C89—22no—
778C4×C89—41no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785Dic89—41no—
786Dic89—41no—
787Dic89—41no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800#36807—891nomaximal, Sylow
801C2×C89—24no—
802C2×C89—42no—
803C2×C89—42no—
804C2×C89—81no—
805C2×C89—81no—
806C2×C89C2×#53911yescharacteristic
807C2×C89#349011yescharacteristic
808C2×C89#350511yescharacteristic
809C2×C89#353611yescharacteristic
810C2×C89#354211yescharacteristic
811C2×C89#354311yescharacteristic
812C2×C89#356111yescharacteristic
813D89—81no—
814#2852—891no—
815#2851—891no—
816#2796—891no—
817#2786—891no—
818#2757—891no—
819#2740—891no—
820#2737—891no—
821#2723—891no—
822#2711—891no—
823#2711—891no—
824#2707—891no—
825#2706—891no—
826#2705—891no—
827#2705—891no—
828#2696—891no—
829#2694—891no—
830#2691—891no—
831#2681—891no—
832#2626—891no—
833#2622—891no—
834#2480—891no—
835#2473—891no—
836#2449—891no—
837#2437—891no—
838#2418—891no—
839#2412—891no—
840#2410—891no—
841#2405—891no—
842#2321—891no—
843#2315—891no—
844C2×#390D8911yescharacteristic, complemented
845C89#3680711yescharacteristic, complemented, Sylow
846C23×D4C2×D8911yescharacteristic
847C2×#126—891no—
848C2×#126—891no—
849C2×#125—891no—
850C2×#125—891no—
851C2×#123—891no—
852C2×#123—891no—
853C2×#123—891no—
854C2×#123—891no—
855C2×C22⋊Q8—891no—
856C2×C22⋊Q8—891no—
857C2×C22⋊Q8—891no—
858C2×#121—891no—
859C2×#121—891no—
860C2×#120—891no—
861C2×#120—891no—
862C2×C4×D4—891no—
863C22×C4⋊C4C2×D8911yescharacteristic
864C22×C22⋊C4—891no—
865C22×C22⋊C4—891no—
866C22×C22⋊C4C2×D8911yescharacteristic
867C22×C22⋊C4C2×D8911yescharacteristic
868C22×C22⋊C4C2×D8911yescharacteristic
869C22×C22⋊C4C2×D8911yescharacteristic
870C22×C42C2×D8911yescharacteristic
871#400—891no—
872#399—891no—
873#399—891no—
874#399—891no—
875#399—891no—
876#399—891no—
877#398—891no—
878#398—891no—
879#398—891no—
880#398—891no—
881#397—891no—
882#397—891no—
883#397—891no—
884#397—891no—
885#397—891no—
886#397—891no—
887#397—891no—
888#397—891no—
889#397—891no—
890#397—891no—
891#396—891no—
892#396—891no—
893#396—891no—
894#396—891no—
895#396—891no—
896#396—891no—
897#396—891no—
898#396—891no—
899#395—891no—
900#394—891no—
901#394—891no—
902#394—891no—
903#394—891no—
904#394—891no—
905#394—891no—
906#394—891no—
907#394—891no—
908#394—891no—
909#394—891no—
910#394—891no—
911#394—891no—
912#394—891no—
913#394—891no—
914#393—891no—
915#393—891no—
916#393—891no—
917#392—891no—
918#392—891no—
919#390—891no—
920#390—891no—
921#390C2×D8911yescharacteristic
922#390C2×D8911yescharacteristic
923#390C2×D8911yescharacteristic
924#390C2×D8911yescharacteristic
925#390C2×D8911yescharacteristic
926#390C2×D8911yescharacteristic
927#390C2×D8911yescharacteristic
928#390C2×D8911yescharacteristic
929#389—891no—
930#389—891no—
931#389—891no—
932#389—891no—
933#388—891no—
934#388—891no—
935#388—891no—
936#388—891no—
937#388—891no—
938#388—891no—
939#388—891no—
940#388—891no—
941#388—891no—
942#388—891no—
943#388—891no—
944#388—891no—
945#387—891no—
946#387—891no—
947#387—891no—
948#387—891no—
949#387—891no—
950#387—891no—
951#387—891no—
952#387—891no—
953#387—891no—
954#387—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386—891no—
965#386—891no—
966#386—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385—891no—
976#385—891no—
977#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385—891no—
982#385—891no—
983#385—891no—
984#385—891no—
985#383—891no—
986#382—891no—
987#381—891no—
988#380—891no—
989#380—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380—891no—
994#380—891no—
995#380—891no—
996#379—891no—
997#379—891no—
998#379—891no—
999#379—891no—
1000C4×C22⋊C4—891no—
1001C25C22×D8911yescharacteristic
1002C25C22×D8911yescharacteristic
1003C22×Q8—891no—
1004C22×D4—24no—
1005C22×D4—42no—
1006C22×D4—42no—
1007C22×D4—891no—
1008C22×D4—891no—
1009C22×D4—891no—
1010C22×D4—891no—
1011C22×D4—891no—
1012C22×D4C22×D8911yescharacteristic
1013C22×D4C22×D8911yescharacteristic
1014C22×D4C22×D8911yescharacteristic
1015C22×D4C22×D8911yescharacteristic
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4C22×D8911yescharacteristic
1022C23×C4C22×D8911yescharacteristic
1023C23×C4C22×D8911yescharacteristic
1024C23×C4C22×D8911yescharacteristic
1025C23×C4C22×D8911yescharacteristic
1026#126—3562no—
1027#126—3562no—
1028#125—3562no—
1029#125—3562no—
1030#123—3562no—
1031#123—3562no—
1032#123—3562no—
1033#123—3562no—
1034C22⋊Q8—3562no—
1035C22⋊Q8—3562no—
1036C22⋊Q8—3562no—
1037#121—3562no—
1038#121—3562no—
1039#120—3562no—
1040#120—1784no—
1041C4×D4—3562no—
1042C2×C4⋊C4—42no—
1043C2×C4⋊C4—891no—
1044C2×C4⋊C4—891no—
1045C2×C4⋊C4—891no—
1046C2×C4⋊C4—891no—
1047C2×C4⋊C4—891no—
1048C2×C4⋊C4—891no—
1049C2×C4⋊C4—891no—
1050C2×C4⋊C4—891no—
1051C2×C4⋊C4—891no—
1052C2×C4⋊C4—891no—
1053C2×C4⋊C4—891no—
1054C2×C4⋊C4—891no—
1055C2×C4⋊C4—891no—
1056C2×C4⋊C4—891no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4C22×D8911yescharacteristic
1074C2×C4⋊C4C22×D8911yescharacteristic
1075C2×C4⋊C4C22×D8911yescharacteristic
1076C2×C4⋊C4C22×D8911yescharacteristic
1077C2×C22⋊C4—42no—
1078C2×C22⋊C4—42no—
1079C2×C22⋊C4—42no—
1080C2×C22⋊C4—42no—
1081C2×C22⋊C4—891no—
1082C2×C22⋊C4—891no—
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
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—3562no—
1122C2×C22⋊C4—1784no—
1123C2×C22⋊C4C22×D8911yescharacteristic
1124C2×C22⋊C4C22×D8911yescharacteristic
1125C2×C22⋊C4C22×D8911yescharacteristic
1126C2×C22⋊C4C22×D8911yescharacteristic
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C22⋊C4C22×D8911yescharacteristic
1135C2×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C22⋊C4C22×D8911yescharacteristic
1138C2×C22⋊C4C22×D8911yescharacteristic
1139C2×C42—42no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42C22×D8911yescharacteristic
1144C2×C42C22×D8911yescharacteristic
1145C2×C42C22×D8911yescharacteristic
1146C2×C42C22×D8911yescharacteristic
1147#95—891no—
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#95—891no—
1152#95—891no—
1153#95—891no—
1154#95—891no—
1155#95—891no—
1156#95—891no—
1157#95—891no—
1158#95—891no—
1159#95—891no—
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#95—891no—
1171#95—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—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24—891no—
1197C24#1308357414yes—
1198C24C23×D8911yescharacteristic
1199C24C23×D8911yescharacteristic
1200C24C23×D8911yescharacteristic
1201C24C23×D8911yescharacteristic
1202C24C23×D8911yescharacteristic
1203C2×Q8—3561no—
1204C2×Q8—3561no—
1205C2×Q8—3561no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—416no—
1219C2×D4—3561no—
1220C2×D4—3561no—
1221C2×D4—3561no—
1222C2×D4—3561no—
1223C2×D4—3561no—
1224C2×D4—3561no—
1225C2×D4—3561no—
1226C2×D4—3561no—
1227C2×D4—3561no—
1228C2×D4—3561no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C2×D4—1782no—
1233C2×D4—1782no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—891no—
1262C22×C4—891no—
1263C22×C4—891no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—3561no—
1274C22×C4—3561no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—1782no—
1278C22×C4—1782no—
1279C22×C4C23×D8911yescharacteristic
1280C22×C4C23×D8911yescharacteristic
1281C22×C4C23×D8911yescharacteristic
1282C22×C4C23×D8911yescharacteristic
1283C22×C4C23×D8911yescharacteristic
1284C22×C4C23×D8911yescharacteristic
1285C22×C4C23×D8911yescharacteristic
1286C22×C4C23×D8911yescharacteristic
1287C22×C4C23×D8911yescharacteristic
1288C22×C4C23×D8911yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—3561no—
1294C4⋊C4—3561no—
1295C4⋊C4—3561no—
1296C4⋊C4—3561no—
1297C4⋊C4—3561no—
1298C4⋊C4—3561no—
1299C4⋊C4—3561no—
1300C4⋊C4—3561no—
1301C4⋊C4—3561no—
1302C4⋊C4—3561no—
1303C4⋊C4—3561no—
1304C4⋊C4—3561no—
1305C4⋊C4—3561no—
1306C4⋊C4—3561no—
1307C4⋊C4—3561no—
1308C4⋊C4—3561no—
1309C4⋊C4—3561no—
1310C4⋊C4—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—3561no—
1313C4⋊C4—3561no—
1314C4⋊C4—1782no—
1315C4⋊C4—1782no—
1316C4⋊C4—1782no—
1317C4⋊C4—1782no—
1318C4⋊C4—1782no—
1319C4⋊C4—1782no—
1320C4⋊C4—1782no—
1321C4⋊C4—1782no—
1322C4⋊C4—1782no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—3561no—
1340C22⋊C4—3561no—
1341C22⋊C4—3561no—
1342C22⋊C4—3561no—
1343C22⋊C4—3561no—
1344C22⋊C4—3561no—
1345C22⋊C4—3561no—
1346C22⋊C4—3561no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—3561no—
1355C22⋊C4—3561no—
1356C22⋊C4—3561no—
1357C22⋊C4—3561no—
1358C22⋊C4—3561no—
1359C22⋊C4—3561no—
1360C22⋊C4—3561no—
1361C22⋊C4—3561no—
1362C22⋊C4—3561no—
1363C22⋊C4—3561no—
1364C22⋊C4—3561no—
1365C22⋊C4—1782no—
1366C22⋊C4—1782no—
1367C22⋊C4—1782no—
1368C22⋊C4—1782no—
1369C22⋊C4—1782no—
1370C22⋊C4—1782no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C22⋊C4—1782no—
1379C42—22no—
1380C42—22no—
1381C42—41no—
1382C42—41no—
1383C42—3561no—
1384C42—3561no—
1385C42—3561no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—28no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—82no—
1423C23—82no—
1424C23—82no—
1425C23—82no—
1426C23—82no—
1427C23—82no—
1428C23—82no—
1429C23—82no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23C2×#1308357412yes—
1438C23C2×#1308357412yes—
1439C23C2×#1308357412yes—
1440C23#1566805712yes—
1441C23#1566805912yes—
1442C23C24×D8911yescharacteristic
1443Q8—7122no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448D4—3564no—
1449D4—7122no—
1450D4—7122no—
1451D4—7122no—
1452D4—7122no—
1453C2×C4—28no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—82no—
1484C2×C4—82no—
1485C2×C4—1781no—
1486C2×C4—1781no—
1487C2×C4—1781no—
1488C2×C4—1781no—
1489C2×C4—1781no—
1490C2×C4—1781no—
1491C2×C4—1781no—
1492C2×C4—1781no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—1781no—
1497C2×C4—1781no—
1498C2×C4—1781no—
1499C2×C4—1781no—
1500C2×C4—1781no—
1501C2×C4—1781no—
1502C2×C4—1781no—
1503C2×C4—1781no—
1504C2×C4—1781no—
1505C2×C4—1781no—
1506C2×C4—1781no—
1507C2×C4—1781no—
1508C2×C4—1781no—
1509C2×C4—1781no—
1510C2×C4—1781no—
1511C2×C4—1781no—
1512C2×C4—1781no—
1513C2×C4—1781no—
1514C2×C4—1781no—
1515C2×C4—1781no—
1516C2×C4—1781no—
1517C2×C4—1781no—
1518C2×C4—1781no—
1519C2×C4—1781no—
1520C2×C4—1781no—
1521C2×C4—1781no—
1522C2×C4—1781no—
1523C2×C4—1781no—
1524C2×C4—1781no—
1525C2×C4—1781no—
1526C2×C4—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—1781no—
1530C2×C4—7122no—
1531C2×C4—7122no—
1532C2×C4—7122no—
1533C2×C4—7122no—
1534C2×C4—7122no—
1535C2×C4#1566805712yes—
1536C2×C4#1566805712yes—
1537C2×C4#1566805712yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—88no—
1573C22—88no—
1574C22—3561no—
1575C22—3561no—
1576C22—3561no—
1577C22—3561no—
1578C22—3561no—
1579C22—3561no—
1580C22—3561no—
1581C22#1915219014yes—
1582C22C22×#1308357411yescharacteristic
1583C22C2×#1566805711yescharacteristic
1584C22C2×#1566805711yescharacteristic
1585C22C2×#1566805711yescharacteristic
1586C22C2×#1566805711yescharacteristic
1587C22C2×#1566805911yescharacteristic
1588C22#1915243411yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—3561no—
1600C4—3561no—
1601C4—3561no—
1602C4—3561no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—3561no—
1612C4—3561no—
1613C4—3561no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—7121no—
1620C2C2×#1915219011yescharacteristic
1621C2#2603394111yescharacteristic
1622C2#2603409111yescharacteristic
1623C2#2603447411yescharacteristic
1624C2#2603457211yescharacteristic
1625C2#2603458511yescharacteristic
1626C2#2603482411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC2×#390×C89C2
prime radical#26023626C2
hypercenterC2×#390D89
hypocenterC89#36807
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
1. #26028567C2semidirect
2. #26028562C2semidirect
3. #26028088C2semidirect
4. #26027965C2semidirect
5. #26027589C2semidirect
6. #26027350C2semidirect
7. #26027305C2semidirect
8. #26027168C2semidirect
9. #26027009C2semidirect
10. #26027004C2semidirect
11. #26026958C2semidirect
12. #26026935C2semidirect
13. #26026928C2semidirect
14. #26026920C2semidirect
15. #26026797C2semidirect
16. #26026767C2semidirect
17. #26026734C2semidirect
18. #26026601C2semidirect
19. #26026057C2semidirect
20. #26026025C2semidirect
21. #26024492C2semidirect
22. #26024387C2semidirect
23. #26024061C2semidirect
24. #26023913C2semidirect
25. #26023714C2semidirect
26. #26023642C2semidirect
28. #26023575C2semidirect
29. #26022910C2semidirect
30. #26022864C2semidirect
31. C2×#390×C89C2semidirect
32. C2×#15668006C22semidirect
33. C2×#15668005C22semidirect
34. C2×#15668004C22semidirect
35. C2×#15668002C22semidirect
36. C2×#15667996C22semidirect
37. C2×#15667994C22semidirect
41. C2×#15667990C22semidirect
42. C2×#15667989C22semidirect
50. #19151536C22semidirect
51. #19151534C22semidirect
52. #19151534C22semidirect
53. #19151534C22semidirect
54. #19151534C22semidirect
55. #19151533C22semidirect
56. #19151531C22semidirect
57. #19151529C22semidirect
58. #19151529C22semidirect
59. #19151528C22semidirect
60. #19151526C22semidirect
61. #19151526C22semidirect
62. #19151526C22semidirect
63. #19151526C22semidirect
64. #19151526C22semidirect
65. #19151526C22semidirect
66. #19151526C22semidirect
67. #19151523C22semidirect
68. #19151523C22semidirect
69. #19151523C22semidirect
70. #19151521C22semidirect
71. #19151521C22semidirect
72. #19151521C22semidirect
73. #19151521C22semidirect
74. #19151521C22semidirect
75. #19151521C22semidirect
76. #19151521C22semidirect
77. #19151520C22semidirect
78. #19151518C22semidirect
79. #19151514C22semidirect
80. #19151514C22semidirect
81. #19151514C22semidirect
82. #19151513C22semidirect
83. #19151513C22semidirect
84. #19151513C22semidirect
85. #19151513C22semidirect
86. #19151513C22semidirect
93. #19151510C22semidirect
94. #19151510C22semidirect
95. #19151510C22semidirect
98. #19151498C22semidirect
99. #19151498C22semidirect
100. #19151496C22semidirect
101. #19151496C22semidirect
102. #19151493C22semidirect
103. #19151493C22semidirect
104. #19151492C22semidirect
105. #19151492C22semidirect
106. #19151492C22semidirect
107. #19151492C22semidirect
108. #19151491C22semidirect
109. #19151491C22semidirect
110. #19151489C22semidirect
111. #19151489C22semidirect
112. #19151489C22semidirect
113. #19151486C22semidirect
114. #19151486C22semidirect
115. #19151486C22semidirect
116. #19151484C22semidirect
117. #19151484C22semidirect
118. #19151482C22semidirect
119. #19151482C22semidirect
120. #19151482C22semidirect
121. #19151482C22semidirect
122. #19151482C22semidirect
123. #19151482C22semidirect
124. #19151482C22semidirect
125. #19151479C22semidirect
134. #19151475C22semidirect
135. #19151474C22semidirect
136. #19151474C22semidirect
137. #19151474C22semidirect
138. #19151473C22semidirect
139. #19151473C22semidirect
150. #19151470C22semidirect
151. #19151470C22semidirect
152. #19151470C22semidirect
153. #19151470C22semidirect
154. #19151470C22semidirect
155. #19151469C22semidirect
156. #19151466C22semidirect
157. #19151464C22semidirect
158. #19151459C22semidirect
162. #19151456C22semidirect
163. #19151456C22semidirect
164. #19151456C22semidirect
165. #19151456C22semidirect
166. #19151456C22semidirect
844. C2×#390D89semidirect
845. C89#36807semidirect

Maximal subgroups

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

subgroupindex
#260285672
#260285622
#260280882
#260279652
#260275892
#260273502
#260273052
#260271682
#260270092
#260270042
#260269582
#260269352
#260269282
#260269202
#260267972
#260267672
#260267342
#260266012
#260260572
#260260252
#260244922
#260243872
#260240612
#260239132
#260237142
#260236422
#260236262
#260235752
#260229102
#260228642
C2×#390×C892
#3680789