Finite Group Databasebeta

← #35613340

Subgroups — #35613340

Order 21248.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915776C211yesmaximal, characteristic, complemented
2#24915760C211yesmaximal, characteristic, complemented
3#24915442C211yesmaximal, characteristic, complemented
4#24915403C211yesmaximal, characteristic, complemented
5#24915395C211yesmaximal, characteristic, complemented
6#24915186C211yesmaximal, characteristic, complemented
7#24915119C211yesmaximal, characteristic, complemented
8#24915095C211yesmaximal, characteristic, complemented
9#24915074C211yesmaximal, characteristic, complemented
10#24915029C211yesmaximal, characteristic, complemented
11#24914835C211yesmaximal, characteristic, complemented
12#24914790C211yesmaximal, characteristic, complemented
13#24914787C211yesmaximal, characteristic, complemented
14#24914718C211yesmaximal, characteristic, complemented
15#24914491C211yesmaximal, characteristic, complemented
16#24914267C211yesmaximal, characteristic, complemented
17#24914252C211yesmaximal, characteristic, complemented
18#24913875C211yesmaximal, characteristic, complemented
19#24913236C211yesmaximal, characteristic, complemented
20#24912019C211yesmaximal, characteristic, complemented
21#24911588C211yesmaximal, characteristic, complemented
22#24911209C211yesmaximal, characteristic, complemented
23#24911145C211yesmaximal, characteristic, complemented
24#24911069C211yesmaximal, characteristic, complemented
25#24911003C211yesmaximal, characteristic, complemented
26#24910844C211yesmaximal, characteristic, complemented
27#24910779C211yesmaximal, characteristic, complemented
28#24910137C211yesmaximal, characteristic, complemented
29#24910050C211yesmaximal, characteristic, complemented
30C2×#19127595C211yesmaximal, characteristic, complemented
31C83×#2617C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33C2×#14581785C2211yescharacteristic, complemented
34C2×#14581779C2211yescharacteristic
35C2×#14581778C2211yescharacteristic, complemented
36C2×#14581773C2211yescharacteristic
37C2×#14581769C2211yescharacteristic
38C2×#14581764C2211yescharacteristic
39C2×#14581764C2211yescharacteristic
40C2×#14581761C2211yescharacteristic
41C2×D4×Dic83C2211yescharacteristic
42C2×#14581748C2211yescharacteristic
43C22×Dic83⋊C4C2211yescharacteristic
44C22×C22⋊Dic83C2211yescharacteristic
45C22×C22⋊Dic83C2211yescharacteristic
46C22×C4×Dic83C2211yescharacteristic
47C83⋊#401C2211yescharacteristic, complemented
48#19127642C2211yescharacteristic, complemented
49#19127640C2211yescharacteristic, complemented
50#19127640C2211yescharacteristic, complemented
51#19127635C2211yescharacteristic, complemented
52#19127632C2211yescharacteristic, complemented
53#19127629C2211yescharacteristic
54#19127629C2211yescharacteristic
55#19127629C2211yescharacteristic
56#19127629C2211yescharacteristic
57#19127629C2211yescharacteristic, complemented
58#19127628C2211yescharacteristic, complemented
59#19127627C2211yescharacteristic, complemented
60#19127626C2211yescharacteristic
61#19127626C2211yescharacteristic, complemented
62#19127624C2211yescharacteristic
63#19127624C2211yescharacteristic
64#19127624C2211yescharacteristic
65#19127621C2211yescharacteristic, complemented
66#19127621C2211yescharacteristic, complemented
67#19127617C2211yescharacteristic
68#19127616C2211yescharacteristic
69#19127616C2211yescharacteristic
70#19127616C2211yescharacteristic
71#19127616C2211yescharacteristic
72#19127616C2211yescharacteristic, complemented
73#19127615C2211yescharacteristic
74#19127615C2211yescharacteristic
75#19127615C2211yescharacteristic
76#19127615C2211yescharacteristic
77#19127615C2211yescharacteristic
78#19127615C2211yescharacteristic, complemented
79#19127613C2211yescharacteristic
80#19127613C2211yescharacteristic
81#19127613C2211yescharacteristic
82#19127613C2211yescharacteristic, complemented
83#19127609C2211yescharacteristic
84#19127609C2211yescharacteristic
85#19127609C2211yescharacteristic
86#19127609C2211yescharacteristic, complemented
87#19127605C2211yescharacteristic, complemented
88#19127605C2211yescharacteristic, complemented
89#19127605C2211yescharacteristic, complemented
90#19127605C2211yescharacteristic, complemented
91#19127604C2211yescharacteristic
92#19127604C2211yescharacteristic
93#19127604C2211yescharacteristic
94#19127601C2211yescharacteristic
95#19127601C2211yescharacteristic, complemented
96#19127601C2211yescharacteristic, complemented
97#19127601C2211yescharacteristic, complemented
98#19127598C2211yescharacteristic, complemented
99#19127598C2211yescharacteristic, complemented
100#19127596C2211yescharacteristic, complemented
101#19127595C2211yescharacteristic
102#19127595C2211yescharacteristic
103#19127595C2211yescharacteristic
104#19127595C2211yescharacteristic
105#19127595C2211yescharacteristic
106#19127595C2211yescharacteristic
107#19127595C2211yescharacteristic
108#19127595C2211yescharacteristic
109#19127595C2211yescharacteristic
110#19127595C2211yescharacteristic
111#19127595C2211yescharacteristic
112#19127595C2211yescharacteristic, complemented
113#19127594C2211yescharacteristic, complemented
114#19127594C2211yescharacteristic, complemented
115#19127593C2211yescharacteristic, complemented
116#19127593C2211yescharacteristic, complemented
117#19127591C2211yescharacteristic, complemented
118#19127590C2211yescharacteristic, complemented
119#19127589C2211yescharacteristic
120#19127589C2211yescharacteristic
121#19127589C2211yescharacteristic, complemented
122#19127589C2211yescharacteristic, complemented
123#19127589C2211yescharacteristic, complemented
124#19127589C2211yescharacteristic, complemented
125#19127589C2211yescharacteristic, complemented
126#19127588C2211yescharacteristic, complemented
127#19127587C2211yescharacteristic, complemented
128#19127587C2211yescharacteristic, complemented
129#19127586C2211yescharacteristic, complemented
130#19127583C2211yescharacteristic, complemented
131#19127583C2211yescharacteristic, complemented
132#19127583C2211yescharacteristic, complemented
133#19127583C2211yescharacteristic, complemented
134#19127582C2211yescharacteristic, complemented
135#19127581C2211yescharacteristic
136#19127581C2211yescharacteristic
137#19127581C2211yescharacteristic
138#19127581C2211yescharacteristic
139#19127581C2211yescharacteristic
140#19127581C2211yescharacteristic
141#19127581C2211yescharacteristic
142#19127581C2211yescharacteristic, complemented
143#19127581C2211yescharacteristic, complemented
144#19127580C2211yescharacteristic
145#19127580C2211yescharacteristic
146#19127578C2211yescharacteristic
147#19127578C2211yescharacteristic
148#19127577C2211yescharacteristic
149#19127577C2211yescharacteristic
150#19127577C2211yescharacteristic, complemented
151#19127576C2211yescharacteristic
152#19127574C2211yescharacteristic
153#19127574C2211yescharacteristic
154#19127573C2211yescharacteristic
155#19127573C2211yescharacteristic, complemented
156#19127573C2211yescharacteristic, complemented
157#19127573C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic, complemented
159#19127568C2211yescharacteristic, complemented
160#19127568C2211yescharacteristic, complemented
161#19127565C2211yescharacteristic, complemented
162#19127562C2211yescharacteristic
163#19127562C2211yescharacteristic, complemented
164#19127560C2211yescharacteristic, complemented
165#19127560C2211yescharacteristic, complemented
166#19127559C2211yescharacteristic, complemented
167#19127559C2211yescharacteristic, complemented
168#19127557C2211yescharacteristic
169C22⋊C4×Dic83C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C2×#121×C83C2211yescharacteristic
173C2×#120×C83C2211yescharacteristic
174C2×#120×C83C2211yescharacteristic
175C22×C22⋊C4×C83C2211yescharacteristic
176#397×C83C2211yescharacteristic
177#397×C83C2211yescharacteristic
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic
180#394×C83C2211yescharacteristic
181#394×C83C2211yescharacteristic
182#392×C83C2211yescharacteristic
183#392×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic
186#380×C83C2211yescharacteristic
187C2×#13050589—24no—
188C2×#13050589—42no—
189C2×#13050589—42no—
190C22×Dic166C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204#14581785—42no—
205#14581779—42no—
206#14581778—42no—
207#14581773—24no—
208#14581769—42no—
209#14581764—42no—
210#14581764—42no—
211#14581761—42no—
212D4×Dic83—42no—
213#14581748—42no—
214C2×C4⋊Dic83C2311yescharacteristic
215C2×C4⋊Dic83C2311yescharacteristic
216C2×C4⋊Dic83C2311yescharacteristic
217C2×C4⋊Dic83C2311yescharacteristic
218C2×Dic83⋊C4—42no—
219C2×Dic83⋊C4C2311yescharacteristic
220C2×Dic83⋊C4C2311yescharacteristic
221C2×Dic83⋊C4C2311yescharacteristic
222C2×Dic83⋊C4C2311yescharacteristic
223C2×Dic83⋊C4C2311yescharacteristic
224C2×Dic83⋊C4C2311yescharacteristic
225C2×Dic83⋊C4C2311yescharacteristic
226C2×Dic83⋊C4C2311yescharacteristic
227C2×Dic83⋊C4C2311yescharacteristic
228C2×Dic83⋊C4C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×C22⋊Dic83—24no—
237C2×C22⋊Dic83—42no—
238C2×C22⋊Dic83C2311yescharacteristic
239C2×C22⋊Dic83C2311yescharacteristic
240C2×C22⋊Dic83C2311yescharacteristic
241C2×C22⋊Dic83C2311yescharacteristic
242C2×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×C4×Dic83—42no—
277C2×C4×Dic83C2311yescharacteristic
278C2×C4×Dic83C2311yescharacteristic
279C2×C4×Dic83C2311yescharacteristic
280C2×C4×Dic83C2311yescharacteristic
281C2×C4×Dic83C2311yescharacteristic
282C2×C4×Dic83C2311yescharacteristic
283C2×C4×Dic83C2311yescharacteristic
284C2×C4×Dic83C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C83⋊#95C2311yescharacteristic
287C83⋊#95C2311yescharacteristic
288C83⋊#95C2311yescharacteristic
289C83⋊#95C2311yescharacteristic
290C83⋊#95C2311yescharacteristic
291C83⋊#95C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C25×C83C2311yescharacteristic
325C22×D4×C83C2311yescharacteristic
326C22×D4×C83C2311yescharacteristic
327C22×D4×C83C2311yescharacteristic
328C22×D4×C83C2311yescharacteristic
329C22×D4×C83C2311yescharacteristic
330C22×D4×C83C2311yescharacteristic
331C22×D4×C83C2311yescharacteristic
332C23×C4×C83C2311yescharacteristic
333C23×C4×C83C2311yescharacteristic
334#121×C83—42no—
335#120×C83—42no—
336#120×C83—42no—
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C22⋊C4×C83—42no—
341C2×C22⋊C4×C83C2311yescharacteristic
342C2×C22⋊C4×C83C2311yescharacteristic
343C2×C22⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357#95×C83C2311yescharacteristic
358#95×C83C2311yescharacteristic
359#95×C83C2311yescharacteristic
360#95×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363C23×D83C2411yescharacteristic
364#13050589—416no—
365C2×Dic166—22no—
366C2×Dic166—22no—
367C2×Dic166—41no—
368C2×Dic166—41no—
369C2×Dic166—41no—
370C2×Dic166—41no—
371C2×C22⋊D83—22no—
372C2×C22⋊D83—22no—
373C2×C22⋊D83—22no—
374C2×C22⋊D83—22no—
375C2×C22⋊D83—22no—
376C2×C22⋊D83—41no—
377C2×C22⋊D83—41no—
378C2×C22⋊D83—41no—
379C2×C22⋊D83—41no—
380C2×C22⋊D83—41no—
381C2×C22⋊D83—41no—
382C2×C22⋊D83—41no—
383C2×C22⋊D83—41no—
384C2×C22⋊D83—41no—
385C2×C22⋊D83—41no—
386C22×Dic83—22no—
387C22×Dic83—22no—
388C22×Dic83—22no—
389C22×Dic83—22no—
390C22×Dic83—22no—
391C22×Dic83—22no—
392C22×Dic83—22no—
393C22×Dic83—41no—
394C22×Dic83—41no—
395C22×Dic83—41no—
396C22×Dic83—41no—
397C22×Dic83—41no—
398C22×Dic83—41no—
399C22×Dic83—41no—
400C22×Dic83—41no—
401C22×Dic83—41no—
402C22×Dic83—41no—
403C22×Dic83#4114yes—
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C2×C4×D83—22no—
420C2×C4×D83—41no—
421C2×C4×D83—41no—
422C4⋊Dic83—41no—
423C4⋊Dic83—41no—
424C4⋊Dic83—41no—
425C4⋊Dic83—41no—
426Dic83⋊C4—22no—
427Dic83⋊C4—22no—
428Dic83⋊C4—22no—
429Dic83⋊C4—41no—
430Dic83⋊C4—41no—
431Dic83⋊C4—41no—
432Dic83⋊C4—41no—
433Dic83⋊C4—41no—
434Dic83⋊C4—41no—
435Dic83⋊C4—41no—
436Dic83⋊C4—41no—
437Dic83⋊C4—41no—
438Dic83⋊C4—41no—
439Dic83⋊C4—41no—
440Dic83⋊C4—41no—
441Dic83⋊C4—41no—
442Dic83⋊C4—41no—
443C22⋊Dic83—22no—
444C22⋊Dic83—22no—
445C22⋊Dic83—22no—
446C22⋊Dic83—22no—
447C22⋊Dic83—22no—
448C22⋊Dic83—22no—
449C22⋊Dic83—22no—
450C22⋊Dic83—22no—
451C22⋊Dic83—22no—
452C22⋊Dic83—22no—
453C22⋊Dic83—22no—
454C22⋊Dic83—22no—
455C22⋊Dic83—41no—
456C22⋊Dic83—41no—
457C22⋊Dic83—41no—
458C22⋊Dic83—41no—
459C22⋊Dic83—41no—
460C22⋊Dic83—41no—
461C22⋊Dic83—41no—
462C22⋊Dic83—41no—
463C22⋊Dic83—41no—
464C22⋊Dic83—41no—
465C22⋊Dic83—41no—
466C22⋊Dic83—41no—
467C22⋊Dic83—41no—
468C22⋊Dic83—41no—
469C22⋊Dic83—41no—
470C22⋊Dic83—41no—
471C22⋊Dic83—41no—
472(C2×D83)⋊C4—41no—
473(C2×D83)⋊C4—41no—
474(C2×D83)⋊C4—41no—
475(C2×D83)⋊C4—41no—
476(C2×D83)⋊C4—41no—
477(C2×D83)⋊C4—41no—
478(C2×D83)⋊C4—41no—
479(C2×D83)⋊C4—41no—
480(C2×D83)⋊C4—41no—
481C4×Dic83—22no—
482C4×Dic83—22no—
483C4×Dic83—41no—
484C4×Dic83—41no—
485C4×Dic83—41no—
486C4×Dic83—41no—
487C4×Dic83—41no—
488C4×Dic83—41no—
489C4×Dic83—41no—
490C24×C83—22no—
491C24×C83—22no—
492C24×C83—22no—
493C24×C83—41no—
494C24×C83—41no—
495C24×C83—41no—
496C24×C83—41no—
497C24×C83C2411yescharacteristic
498C24×C83C2411yescharacteristic
499C24×C83C2411yescharacteristic
500C24×C83C2411yescharacteristic
501C24×C83C2411yescharacteristic
502C2×D4×C83—22no—
503C2×D4×C83—22no—
504C2×D4×C83—22no—
505C2×D4×C83—22no—
506C2×D4×C83—22no—
507C2×D4×C83—22no—
508C2×D4×C83—41no—
509C2×D4×C83—41no—
510C2×D4×C83—41no—
511C2×D4×C83—41no—
512C2×D4×C83—41no—
513C2×D4×C83—41no—
514C2×D4×C83—41no—
515C2×D4×C83—41no—
516C2×D4×C83—41no—
517C2×D4×C83—41no—
518C2×D4×C83—41no—
519C2×D4×C83—41no—
520C2×D4×C83—41no—
521C2×D4×C83—41no—
522C2×D4×C83—41no—
523C22×C4×C83—22no—
524C22×C4×C83—22no—
525C22×C4×C83—41no—
526C22×C4×C83—41no—
527C22×C4×C83—41no—
528C22×C4×C83—41no—
529C22×C4×C83C2411yescharacteristic
530C22×C4×C83C2411yescharacteristic
531C22×C4×C83C2411yescharacteristic
532C22×C4×C83C2411yescharacteristic
533C22×C4×C83C2411yescharacteristic
534C22×C4×C83C2411yescharacteristic
535C22×C4×C83C2411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C22×C4×C83C2411yescharacteristic
538C22×C4×C83C2411yescharacteristic
539C4⋊C4×C83—41no—
540C4⋊C4×C83—41no—
541C4⋊C4×C83—41no—
542C22⋊C4×C83—22no—
543C22⋊C4×C83—22no—
544C22⋊C4×C83—41no—
545C22⋊C4×C83—41no—
546C22⋊C4×C83—41no—
547C22⋊C4×C83—41no—
548C22⋊C4×C83—41no—
549C22⋊C4×C83—41no—
550C22⋊C4×C83—41no—
551C22⋊C4×C83—41no—
552C22⋊C4×C83—41no—
553C22⋊C4×C83—41no—
554C22⋊C4×C83—41no—
555C22⋊C4×C83—41no—
556C22⋊C4×C83—41no—
557C22⋊C4×C83—41no—
558C23×C83—21no—
559C23×C83—21no—
560C23×C83—21no—
561C23×C83—21no—
562C23×C83—21no—
563C23×C83—21no—
564C23×C83—21no—
565C23×C83—21no—
566C23×C83—21no—
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83—21no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
586C23×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—44no—
591C23×C83—44no—
592C23×C83—44no—
593C23×C83—82no—
594C23×C83—82no—
595C23×C83—82no—
596C23×C83—82no—
597C23×C83C2×#4112yes—
598C23×C83H(5,𝔽2)12yes—
599C23×C83H(5,𝔽2)12yes—
600C23×C83C2511yescharacteristic
601C22×D83—21no—
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—21no—
607C22×D83—21no—
608D4×C83—44no—
609D4×C83—44no—
610D4×C83—82no—
611D4×C83—82no—
612D4×C83—82no—
613D4×C83—82no—
614D4×C83—82no—
615C2×C4×C83—21no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—44no—
646C2×C4×C83—82no—
647C22⋊D83—44no—
648C22⋊D83—44no—
649C22⋊D83—82no—
650C22⋊D83—82no—
651C22⋊D83—82no—
652C2×Dic83—28no—
653C2×Dic83—21no—
654C2×Dic83—21no—
655C2×Dic83—21no—
656C2×Dic83—21no—
657C2×Dic83—21no—
658C2×Dic83—21no—
659C2×Dic83—21no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—21no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—44no—
696C2×Dic83—44no—
697C2×Dic83—44no—
698C2×Dic83—82no—
699C2×Dic83—82no—
700C2×Dic83C2×#4112yes—
701C2×Dic83C2×#4112yes—
702C2×Dic83H(5,𝔽2)12yes—
703C4×D83—44no—
704Dic166—44no—
705Dic166—82no—
706C22×C83—22no—
707C22×C83—22no—
708C22×C83—22no—
709C22×C83—22no—
710C22×C83—22no—
711C22×C83—22no—
712C22×C83—41no—
713C22×C83—41no—
714C22×C83—41no—
715C22×C83—41no—
716C22×C83—41no—
717C22×C83—41no—
718C22×C83—41no—
719C22×C83—41no—
720C22×C83—41no—
721C22×C83—41no—
722C22×C83—41no—
723C22×C83—41no—
724C22×C83—41no—
725C22×C83—41no—
726C22×C83—41no—
727C22×C83—41no—
728C22×C83—41no—
729C22×C83—41no—
730C22×C83—41no—
731C22×C83—41no—
732C22×C83—41no—
733C22×C83—41no—
734C22×C83—41no—
735C22×C83—41no—
736C22×C83—41no—
737C22×C83—41no—
738C22×C83—41no—
739C22×C83—41no—
740C22×C83—88no—
741C22×C83#53814yes—
742C22×C83C22×#4111yescharacteristic
743C22×C83C2×H(5,𝔽2)11yescharacteristic
744C22×C83C2×H(5,𝔽2)11yescharacteristic
745C22×C83C2×H(5,𝔽2)11yescharacteristic
746C22×C83#58511yescharacteristic
747C22×C83#58511yescharacteristic
748C22×C83#58511yescharacteristic
749C2×D83—41no—
750C2×D83—41no—
751C2×D83—41no—
752C2×D83—41no—
753C2×D83—41no—
754C2×D83—41no—
755C2×D83—41no—
756C4×C83—41no—
757C4×C83—41no—
758C4×C83—41no—
759C4×C83—41no—
760C4×C83—41no—
761C4×C83—41no—
762C4×C83—41no—
763C4×C83—41no—
764C4×C83—41no—
765C4×C83—41no—
766Dic83—22no—
767Dic83—22no—
768Dic83—22no—
769Dic83—41no—
770Dic83—41no—
771Dic83—41no—
772Dic83—41no—
773Dic83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781#36795—831nomaximal, Sylow
782C2×C83—24no—
783C2×C83—81no—
784C2×C83—81no—
785C2×C83—81no—
786C2×C83—81no—
787C2×C83C2×#53811yescharacteristic
788C2×C83#349311yescharacteristic
789C2×C83#350611yescharacteristic
790C2×C83#353411yescharacteristic
791C2×C83#354211yescharacteristic
792C2×C83#354511yescharacteristic
793C2×C83#356011yescharacteristic
794D83—81no—
795#2852—831no—
796#2850—831no—
797#2808—831no—
798#2803—831no—
799#2803—831no—
800#2786—831no—
801#2781—831no—
802#2779—831no—
803#2778—831no—
804#2775—831no—
805#2759—831no—
806#2756—831no—
807#2756—831no—
808#2751—831no—
809#2733—831no—
810#2715—831no—
811#2714—831no—
812#2686—831no—
813#2622—831no—
814#2617D8311yescharacteristic, complemented
815#2510—831no—
816#2472—831no—
817#2444—831no—
818#2438—831no—
819#2430—831no—
820#2424—831no—
821#2411—831no—
822#2404—831no—
823#2322—831no—
824#2311—831no—
825C2×#388—831no—
826C83#3679511yescharacteristic, complemented, Sylow
827C22×#41—831no—
828C2×#126—831no—
829C2×#124—831no—
830C2×#124—831no—
831C2×#123—831no—
832C2×C22⋊Q8—831no—
833C2×#121—831no—
834C2×#121—831no—
835C2×#121C2×D8311yescharacteristic
836C2×#120—831no—
837C2×#120C2×D8311yescharacteristic
838C2×#120C2×D8311yescharacteristic
839C2×C4×D4—831no—
840C2×#117—831no—
841C22×C4⋊C4—831no—
842C22×C22⋊C4—831no—
843C22×C22⋊C4—831no—
844C22×C22⋊C4C2×D8311yescharacteristic
845C22×C42—831no—
846#401—831no—
847#400—831no—
848#400—831no—
849#400—831no—
850#398—831no—
851#398—831no—
852#397—831no—
853#397—831no—
854#397—831no—
855#397—831no—
856#397—831no—
857#397—831no—
858#397—831no—
859#397—831no—
860#397—831no—
861#397C2×D8311yescharacteristic
862#397C2×D8311yescharacteristic
863#396—831no—
864#396—831no—
865#396—831no—
866#395—831no—
867#395—831no—
868#394—831no—
869#394—831no—
870#394—831no—
871#394—831no—
872#394—831no—
873#394—831no—
874#394—831no—
875#394—831no—
876#394—831no—
877#394—831no—
878#394—831no—
879#394—831no—
880#394C2×D8311yescharacteristic
881#394C2×D8311yescharacteristic
882#394C2×D8311yescharacteristic
883#394C2×D8311yescharacteristic
884#393—831no—
885#393—831no—
886#393—831no—
887#393—831no—
888#392—831no—
889#392—831no—
890#392—831no—
891#392—831no—
892#392C2×D8311yescharacteristic
893#392C2×D8311yescharacteristic
894#391—831no—
895#391—831no—
896#391—831no—
897#391—831no—
898#390—831no—
899#390—831no—
900#390—831no—
901#390—831no—
902#390—831no—
903#390—831no—
904#390—831no—
905#389—831no—
906#389—831no—
907#389—831no—
908#388—831no—
909#388—831no—
910#388—831no—
911#388—831no—
912#388—831no—
913#388—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#387—831no—
934#387—831no—
935#387—831no—
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#386—831no—
943#386—831no—
944#386—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386C2×D8311yescharacteristic
959#386C2×D8311yescharacteristic
960#385—831no—
961#385—831no—
962#385—831no—
963#385—831no—
964#385—831no—
965#385—831no—
966#385—831no—
967#385—831no—
968#383—831no—
969#383—831no—
970#382—831no—
971#381—831no—
972#381—831no—
973#380—831no—
974#380—831no—
975#380—831no—
976#380—831no—
977#380C2×D8311yescharacteristic
978#379—831no—
979C4×C22⋊C4—831no—
980C2×#95—831no—
981C2×#95—831no—
982C25C22×D8311yescharacteristic
983C2×#41—3322no—
984C2×#41—3322no—
985C2×#41—1664no—
986C22×Q8—831no—
987C22×Q8—831no—
988C22×D4—831no—
989C22×D4—831no—
990C22×D4—831no—
991C22×D4—831no—
992C22×D4—831no—
993C22×D4C22×D8311yescharacteristic
994C22×D4C22×D8311yescharacteristic
995C22×D4C22×D8311yescharacteristic
996C22×D4C22×D8311yescharacteristic
997C22×D4C22×D8311yescharacteristic
998C22×D4C22×D8311yescharacteristic
999C22×D4C22×D8311yescharacteristic
1000C23×C4—831no—
1001C23×C4—831no—
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4—831no—
1007C23×C4C22×D8311yescharacteristic
1008C23×C4C22×D8311yescharacteristic
1009#126—3322no—
1010#124—3322no—
1011#124—3322no—
1012#123—1664no—
1013C22⋊Q8—3322no—
1014#121—42no—
1015#121—3322no—
1016#121—3322no—
1017#120—42no—
1018#120—42no—
1019#120—3322no—
1020C4×D4—3322no—
1021#117—3322no—
1022C2×C4⋊C4—3322no—
1023C2×C4⋊C4—831no—
1024C2×C4⋊C4—831no—
1025C2×C4⋊C4—831no—
1026C2×C4⋊C4—831no—
1027C2×C4⋊C4—831no—
1028C2×C4⋊C4—831no—
1029C2×C4⋊C4—831no—
1030C2×C4⋊C4—831no—
1031C2×C4⋊C4—831no—
1032C2×C4⋊C4—831no—
1033C2×C4⋊C4—831no—
1034C2×C4⋊C4—831no—
1035C2×C4⋊C4—831no—
1036C2×C4⋊C4—831no—
1037C2×C4⋊C4—831no—
1038C2×C4⋊C4—831no—
1039C2×C4⋊C4—831no—
1040C2×C4⋊C4—831no—
1041C2×C4⋊C4—831no—
1042C2×C4⋊C4—831no—
1043C2×C4⋊C4—831no—
1044C2×C4⋊C4C22×D8311yescharacteristic
1045C2×C4⋊C4C22×D8311yescharacteristic
1046C2×C4⋊C4C22×D8311yescharacteristic
1047C2×C22⋊C4—42no—
1048C2×C22⋊C4—3322no—
1049C2×C22⋊C4—831no—
1050C2×C22⋊C4—831no—
1051C2×C22⋊C4—831no—
1052C2×C22⋊C4—831no—
1053C2×C22⋊C4—831no—
1054C2×C22⋊C4—831no—
1055C2×C22⋊C4—831no—
1056C2×C22⋊C4—831no—
1057C2×C22⋊C4—831no—
1058C2×C22⋊C4—831no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—831no—
1061C2×C22⋊C4—831no—
1062C2×C22⋊C4—831no—
1063C2×C22⋊C4—831no—
1064C2×C22⋊C4—831no—
1065C2×C22⋊C4—831no—
1066C2×C22⋊C4—831no—
1067C2×C22⋊C4—831no—
1068C2×C22⋊C4—831no—
1069C2×C22⋊C4—831no—
1070C2×C22⋊C4—831no—
1071C2×C22⋊C4—831no—
1072C2×C22⋊C4—831no—
1073C2×C22⋊C4—831no—
1074C2×C22⋊C4—831no—
1075C2×C22⋊C4—831no—
1076C2×C22⋊C4—831no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
1083C2×C22⋊C4—831no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—1664no—
1088C2×C22⋊C4C22×D8311yescharacteristic
1089C2×C22⋊C4C22×D8311yescharacteristic
1090C2×C22⋊C4C22×D8311yescharacteristic
1091C2×C22⋊C4C22×D8311yescharacteristic
1092C2×C22⋊C4C22×D8311yescharacteristic
1093C2×C22⋊C4C22×D8311yescharacteristic
1094C2×C22⋊C4C22×D8311yescharacteristic
1095C2×C22⋊C4C22×D8311yescharacteristic
1096C2×C22⋊C4C22×D8311yescharacteristic
1097C2×C22⋊C4C22×D8311yescharacteristic
1098C2×C22⋊C4C22×D8311yescharacteristic
1099C2×C22⋊C4C22×D8311yescharacteristic
1100C2×C22⋊C4C22×D8311yescharacteristic
1101C2×C22⋊C4C22×D8311yescharacteristic
1102C2×C22⋊C4C22×D8311yescharacteristic
1103C2×C22⋊C4C22×D8311yescharacteristic
1104C2×C42—3322no—
1105C2×C42—831no—
1106C2×C42—831no—
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42—831no—
1110C2×C42—831no—
1111C2×C42—831no—
1112C2×C42—831no—
1113C2×C42—831no—
1114#95—831no—
1115#95—831no—
1116#95—831no—
1117#95—831no—
1118#95—831no—
1119#95—831no—
1120#95—831no—
1121#95—831no—
1122#95—831no—
1123#95—831no—
1124#95—831no—
1125#95—831no—
1126#95—831no—
1127#95—831no—
1128#95—831no—
1129#95—831no—
1130#95—831no—
1131#95—831no—
1132#95—831no—
1133#95—831no—
1134#95—831no—
1135#95—831no—
1136#95—831no—
1137#95—831no—
1138#95—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156#95C22×D8311yescharacteristic
1157#95C22×D8311yescharacteristic
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24—831no—
1166C24C23×D8311yescharacteristic
1167C24C23×D8311yescharacteristic
1168C24C23×D8311yescharacteristic
1169C24C23×D8311yescharacteristic
1170C24C23×D8311yescharacteristic
1171#41—33216no—
1172C2×Q8—3321no—
1173C2×Q8—3321no—
1174C2×Q8—3321no—
1175C2×Q8—3321no—
1176C2×Q8—1662no—
1177C2×Q8—1662no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—3321no—
1200C2×D4—3321no—
1201C2×D4—3321no—
1202C2×D4—3321no—
1203C2×D4—3321no—
1204C2×D4—3321no—
1205C2×D4—3321no—
1206C2×D4—3321no—
1207C2×D4—3321no—
1208C2×D4—3321no—
1209C2×D4—1662no—
1210C2×D4—1662no—
1211C2×D4—1662no—
1212C2×D4—1662no—
1213C2×D4—1662no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—3321no—
1221C22×C4—3321no—
1222C22×C4—3321no—
1223C22×C4—3321no—
1224C22×C4—3321no—
1225C22×C4—3321no—
1226C22×C4—3321no—
1227C22×C4—3321no—
1228C22×C4—3321no—
1229C22×C4—3321no—
1230C22×C4—3321no—
1231C22×C4—3321no—
1232C22×C4—834no—
1233C22×C4—831no—
1234C22×C4—831no—
1235C22×C4—831no—
1236C22×C4—831no—
1237C22×C4—831no—
1238C22×C4—831no—
1239C22×C4—831no—
1240C22×C4—831no—
1241C22×C4—831no—
1242C22×C4—831no—
1243C22×C4—831no—
1244C22×C4—831no—
1245C22×C4—831no—
1246C22×C4—831no—
1247C22×C4—831no—
1248C22×C4—1662no—
1249C22×C4—1662no—
1250C22×C4—1662no—
1251C22×C4—1662no—
1252C22×C4—1662no—
1253C22×C4—1662no—
1254C22×C4—1662no—
1255C22×C4—1662no—
1256C22×C4C23×D8311yescharacteristic
1257C22×C4C23×D8311yescharacteristic
1258C22×C4C23×D8311yescharacteristic
1259C22×C4C23×D8311yescharacteristic
1260C22×C4C23×D8311yescharacteristic
1261C22×C4C23×D8311yescharacteristic
1262C22×C4C23×D8311yescharacteristic
1263C22×C4C23×D8311yescharacteristic
1264C22×C4C23×D8311yescharacteristic
1265C22×C4C23×D8311yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—3321no—
1270C4⋊C4—3321no—
1271C4⋊C4—3321no—
1272C4⋊C4—3321no—
1273C4⋊C4—3321no—
1274C4⋊C4—3321no—
1275C4⋊C4—3321no—
1276C4⋊C4—3321no—
1277C4⋊C4—3321no—
1278C4⋊C4—3321no—
1279C4⋊C4—3321no—
1280C4⋊C4—3321no—
1281C4⋊C4—3321no—
1282C4⋊C4—3321no—
1283C4⋊C4—3321no—
1284C4⋊C4—3321no—
1285C4⋊C4—3321no—
1286C4⋊C4—3321no—
1287C4⋊C4—1662no—
1288C4⋊C4—1662no—
1289C4⋊C4—1662no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
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—3321no—
1307C22⋊C4—3321no—
1308C22⋊C4—3321no—
1309C22⋊C4—3321no—
1310C22⋊C4—3321no—
1311C22⋊C4—3321no—
1312C22⋊C4—3321no—
1313C22⋊C4—3321no—
1314C22⋊C4—3321no—
1315C22⋊C4—3321no—
1316C22⋊C4—3321no—
1317C22⋊C4—3321no—
1318C22⋊C4—3321no—
1319C22⋊C4—3321no—
1320C22⋊C4—3321no—
1321C22⋊C4—3321no—
1322C22⋊C4—3321no—
1323C22⋊C4—3321no—
1324C22⋊C4—3321no—
1325C22⋊C4—3321no—
1326C22⋊C4—3321no—
1327C22⋊C4—3321no—
1328C22⋊C4—3321no—
1329C22⋊C4—3321no—
1330C22⋊C4—3321no—
1331C22⋊C4—3321no—
1332C22⋊C4—1662no—
1333C22⋊C4—1662no—
1334C22⋊C4—1662no—
1335C22⋊C4—1662no—
1336C22⋊C4—1662no—
1337C22⋊C4—1662no—
1338C22⋊C4—1662no—
1339C22⋊C4—1662no—
1340C22⋊C4—1662no—
1341C22⋊C4—1662no—
1342C22⋊C4—1662no—
1343C22⋊C4—1662no—
1344C42—3321no—
1345C42—3321no—
1346C42—3321no—
1347C42—3321no—
1348C42—3321no—
1349C42—3321no—
1350C42—3321no—
1351C42—1662no—
1352C42—1662no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—44no—
1386C23—44no—
1387C23—44no—
1388C23—82no—
1389C23—82no—
1390C23—82no—
1391C23—82no—
1392C23—1661no—
1393C23—1661no—
1394C23—1661no—
1395C23—1661no—
1396C23—1661no—
1397C23—1661no—
1398C23—1661no—
1399C23#41×D8312yes—
1400C23#1458183712yes—
1401C23#1458183712yes—
1402C23C24×D8311yescharacteristic
1403Q8—3324no—
1404Q8—6642no—
1405D4—44no—
1406D4—44no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—3324no—
1413D4—3324no—
1414D4—6642no—
1415D4—6642no—
1416D4—6642no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—44no—
1448C2×C4—82no—
1449C2×C4—3324no—
1450C2×C4—3324no—
1451C2×C4—3324no—
1452C2×C4—3324no—
1453C2×C4—832no—
1454C2×C4—832no—
1455C2×C4—832no—
1456C2×C4—6642no—
1457C2×C4—6642no—
1458C2×C4—1661no—
1459C2×C4—1661no—
1460C2×C4—1661no—
1461C2×C4—1661no—
1462C2×C4—1661no—
1463C2×C4—1661no—
1464C2×C4—1661no—
1465C2×C4—1661no—
1466C2×C4—1661no—
1467C2×C4—1661no—
1468C2×C4—1661no—
1469C2×C4—1661no—
1470C2×C4—1661no—
1471C2×C4—1661no—
1472C2×C4—1661no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4—1661no—
1479C2×C4—1661no—
1480C2×C4—1661no—
1481C2×C4—1661no—
1482C2×C4—1661no—
1483C2×C4—1661no—
1484C2×C4—1661no—
1485C2×C4—1661no—
1486C2×C4—1661no—
1487C2×C4—1661no—
1488C2×C4—1661no—
1489C2×C4—1661no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1661no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1668no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—88no—
1536C22—3321no—
1537C22—3321no—
1538C22—3321no—
1539C22—3321no—
1540C22—3321no—
1541C22—3321no—
1542C22—3321no—
1543C22#1912828314yes—
1544C22C2×#41×D8311yescharacteristic
1545C22H(5,𝔽2)×D8311yescharacteristic
1546C22C2×#1458183711yescharacteristic
1547C22C2×#1458183711yescharacteristic
1548C22#1912853611yescharacteristic
1549C22#1912853611yescharacteristic
1550C22#1912853611yescharacteristic
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—3321no—
1562C4—3321no—
1563C4—3321no—
1564C4—3321no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—3321no—
1573C4—1662no—
1574C4—1662no—
1575C4—1662no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—81no—
1581C2—6641no—
1582C2C2×#1912828311yescharacteristic
1583C2#2492117811yescharacteristic
1584C2#2492131011yescharacteristic
1585C2#2492165011yescharacteristic
1586C2#2492176611yescharacteristic
1587C2#2492181211yescharacteristic
1588C2#2492200511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2617C2
hypercenter#2617D83
hypocenterC83#36795
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2617

Complements

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

NH ≅ G/Ntype
1. #24915776C2semidirect
2. #24915760C2semidirect
3. #24915442C2semidirect
4. #24915403C2semidirect
5. #24915395C2semidirect
6. #24915186C2semidirect
7. #24915119C2semidirect
8. #24915095C2semidirect
9. #24915074C2semidirect
10. #24915029C2semidirect
11. #24914835C2semidirect
12. #24914790C2semidirect
13. #24914787C2semidirect
14. #24914718C2semidirect
15. #24914491C2semidirect
16. #24914267C2semidirect
17. #24914252C2semidirect
18. #24913875C2semidirect
19. #24913236C2semidirect
20. #24912019C2semidirect
21. #24911588C2semidirect
22. #24911209C2semidirect
23. #24911145C2semidirect
24. #24911069C2semidirect
25. #24911003C2semidirect
26. #24910844C2semidirect
27. #24910779C2semidirect
28. #24910137C2semidirect
29. #24910050C2semidirect
30. C2×#19127595C2semidirect
31. C83×#2617C2semidirect
33. C2×#14581785C22semidirect
35. C2×#14581778C22semidirect
47. C83⋊#401C22semidirect
48. #19127642C22semidirect
49. #19127640C22semidirect
50. #19127640C22semidirect
51. #19127635C22semidirect
52. #19127632C22semidirect
57. #19127629C22semidirect
58. #19127628C22semidirect
59. #19127627C22semidirect
61. #19127626C22semidirect
65. #19127621C22semidirect
66. #19127621C22semidirect
72. #19127616C22semidirect
78. #19127615C22semidirect
82. #19127613C22semidirect
86. #19127609C22semidirect
87. #19127605C22semidirect
88. #19127605C22semidirect
89. #19127605C22semidirect
90. #19127605C22semidirect
95. #19127601C22semidirect
96. #19127601C22semidirect
97. #19127601C22semidirect
98. #19127598C22semidirect
99. #19127598C22semidirect
100. #19127596C22semidirect
112. #19127595C22semidirect
113. #19127594C22semidirect
114. #19127594C22semidirect
115. #19127593C22semidirect
116. #19127593C22semidirect
117. #19127591C22semidirect
118. #19127590C22semidirect
121. #19127589C22semidirect
122. #19127589C22semidirect
123. #19127589C22semidirect
124. #19127589C22semidirect
125. #19127589C22semidirect
126. #19127588C22semidirect
127. #19127587C22semidirect
128. #19127587C22semidirect
129. #19127586C22semidirect
130. #19127583C22semidirect
131. #19127583C22semidirect
132. #19127583C22semidirect
133. #19127583C22semidirect
134. #19127582C22semidirect
142. #19127581C22semidirect
143. #19127581C22semidirect
150. #19127577C22semidirect
155. #19127573C22semidirect
156. #19127573C22semidirect
157. #19127573C22semidirect
158. #19127572C22semidirect
159. #19127568C22semidirect
160. #19127568C22semidirect
161. #19127565C22semidirect
163. #19127562C22semidirect
164. #19127560C22semidirect
165. #19127560C22semidirect
166. #19127559C22semidirect
167. #19127559C22semidirect
814. #2617D83semidirect
826. C83#36795semidirect

Maximal subgroups

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

subgroupindex
#249157762
#249157602
#249154422
#249154032
#249153952
#249151862
#249151192
#249150952
#249150742
#249150292
#249148352
#249147902
#249147872
#249147182
#249144912
#249142672
#249142522
#249138752
#249132362
#249120192
#249115882
#249112092
#249111452
#249110692
#249110032
#249108442
#249107792
#249101372
#249100502
C2×#191275952
C83×#26172
#3679583