Finite Group Databasebeta

← #35611306

Subgroups — #35611306

Order 21248.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128302C211yesmaximal, characteristic, complemented
2#24915755C211yesmaximal, characteristic, complemented
3#24915745C211yesmaximal, characteristic, complemented
4#24913979C211yesmaximal, characteristic, complemented
5#24913968C211yesmaximal, characteristic, complemented
6#24913925C211yesmaximal, characteristic, complemented
7#24913895C211yesmaximal, characteristic, complemented
8#24913880C211yesmaximal, characteristic, complemented
9#24913784C211yesmaximal, characteristic, complemented
10#24913760C211yesmaximal, characteristic, complemented
11#24913753C211yesmaximal, characteristic, complemented
12#24913729C211yesmaximal, characteristic, complemented
13#24913725C211yesmaximal, characteristic, complemented
14#24913710C211yesmaximal, characteristic, complemented
15#24913699C211yesmaximal, characteristic, complemented
16#24913694C211yesmaximal, characteristic, complemented
17#24913680C211yesmaximal, characteristic, complemented
18#24913677C211yesmaximal, characteristic, complemented
19#24913667C211yesmaximal, characteristic, complemented
20#24913347C211yesmaximal, characteristic, complemented
21#24913300C211yesmaximal, characteristic, complemented
22#24913135C211yesmaximal, characteristic, complemented
23#24913075C211yesmaximal, characteristic, complemented
24#24913029C211yesmaximal, characteristic, complemented
25#24913023C211yesmaximal, characteristic, complemented
26#24912419C211yesmaximal, characteristic, complemented
27#24912360C211yesmaximal, characteristic, complemented
28#24911078C211yesmaximal, characteristic, complemented
29#24911067C211yesmaximal, characteristic, complemented
30#24910096C211yesmaximal, characteristic, complemented
31C2×#525×C83C211yesmaximal, characteristic, complemented
32#19128302—28no—
33C2×#14581788C2211yescharacteristic
34C2×#14581788C2211yescharacteristic
35C2×#14581783C2211yescharacteristic, complemented
36C2×#14581781C2211yescharacteristic, complemented
37C2×#14581775C2211yescharacteristic
38C2×#14581775C2211yescharacteristic
39C2×#14581775C2211yescharacteristic, complemented
40C2×#14581774C2211yescharacteristic
41C2×#14581774C2211yescharacteristic, complemented
42C2×#14581767C2211yescharacteristic, complemented
43C2×#14581766C2211yescharacteristic
44C2×#14581766C2211yescharacteristic
45C2×#14581766C2211yescharacteristic
46C2×#14581766C2211yescharacteristic, complemented
47C2×#14581765C2211yescharacteristic
48C2×#14581765C2211yescharacteristic, complemented
49C2×#14581764C2211yescharacteristic
50C2×#14581764C2211yescharacteristic
51C2×#14581764C2211yescharacteristic
52C2×#14581764C2211yescharacteristic, complemented
53C2×#14581763C2211yescharacteristic
54C2×#14581763C2211yescharacteristic
55C2×#14581763C2211yescharacteristic
56C2×#14581761C2211yescharacteristic
57C2×#14581761C2211yescharacteristic
58C2×#14581761C2211yescharacteristic
59C2×C4×D332C2211yescharacteristic, complemented
60C2×#14581749C2211yescharacteristic, complemented
61#19127640C2211yescharacteristic, complemented
62#19127640C2211yescharacteristic, complemented
63#19127639C2211yescharacteristic, complemented
64#19127637C2211yescharacteristic
65#19127637C2211yescharacteristic, complemented
66#19127636C2211yescharacteristic, complemented
67#19127634C2211yescharacteristic, complemented
68#19127634C2211yescharacteristic, complemented
69#19127631C2211yescharacteristic, complemented
70#19127629C2211yescharacteristic
71#19127629C2211yescharacteristic, complemented
72#19127626C2211yescharacteristic
73#19127626C2211yescharacteristic
74#19127626C2211yescharacteristic, complemented
75#19127624C2211yescharacteristic
76#19127624C2211yescharacteristic, complemented
77#19127623C2211yescharacteristic, complemented
78#19127623C2211yescharacteristic, complemented
79#19127620C2211yescharacteristic, complemented
80#19127618C2211yescharacteristic, complemented
81#19127618C2211yescharacteristic, complemented
82#19127618C2211yescharacteristic, complemented
83#19127617C2211yescharacteristic
84#19127617C2211yescharacteristic, complemented
85#19127616C2211yescharacteristic
86#19127616C2211yescharacteristic
87#19127616C2211yescharacteristic
88#19127616C2211yescharacteristic, complemented
89#19127615C2211yescharacteristic
90#19127615C2211yescharacteristic
91#19127615C2211yescharacteristic
92#19127615C2211yescharacteristic
93#19127612C2211yescharacteristic, complemented
94#19127610C2211yescharacteristic
95#19127610C2211yescharacteristic
96#19127610C2211yescharacteristic
97#19127610C2211yescharacteristic, complemented
98#19127610C2211yescharacteristic, complemented
99#19127609C2211yescharacteristic
100#19127609C2211yescharacteristic
101#19127609C2211yescharacteristic
102#19127609C2211yescharacteristic
103#19127609C2211yescharacteristic
104#19127609C2211yescharacteristic
105#19127609C2211yescharacteristic
106#19127609C2211yescharacteristic
107#19127609C2211yescharacteristic, complemented
108#19127609C2211yescharacteristic, complemented
109#19127608C2211yescharacteristic, complemented
110#19127604C2211yescharacteristic
111#19127601C2211yescharacteristic
112#19127596C2211yescharacteristic, complemented
113#19127595C2211yescharacteristic
114#19127594C2211yescharacteristic
115#19127594C2211yescharacteristic
116#19127592C2211yescharacteristic, complemented
117#19127592C2211yescharacteristic, complemented
118#19127592C2211yescharacteristic, complemented
119#19127591C2211yescharacteristic, complemented
120#19127589C2211yescharacteristic
121#19127589C2211yescharacteristic
122#19127589C2211yescharacteristic, complemented
123#19127587C2211yescharacteristic, complemented
124#19127587C2211yescharacteristic, complemented
125#19127585C2211yescharacteristic, complemented
126#19127582C2211yescharacteristic, complemented
127#19127581C2211yescharacteristic
128#19127581C2211yescharacteristic
129#19127581C2211yescharacteristic
130#19127581C2211yescharacteristic, complemented
131#19127580C2211yescharacteristic
132#19127580C2211yescharacteristic
133#19127580C2211yescharacteristic
134#19127580C2211yescharacteristic
135#19127580C2211yescharacteristic
136#19127580C2211yescharacteristic
137#19127580C2211yescharacteristic
138#19127580C2211yescharacteristic
139#19127580C2211yescharacteristic
140#19127580C2211yescharacteristic
141#19127580C2211yescharacteristic, complemented
142#19127580C2211yescharacteristic, complemented
143#19127580C2211yescharacteristic, complemented
144#19127578C2211yescharacteristic, complemented
145#19127578C2211yescharacteristic, complemented
146#19127577C2211yescharacteristic
147#19127577C2211yescharacteristic
148#19127577C2211yescharacteristic
149#19127577C2211yescharacteristic
150#19127577C2211yescharacteristic, complemented
151#19127576C2211yescharacteristic, complemented
152#19127576C2211yescharacteristic, complemented
153#19127574C2211yescharacteristic
154#19127574C2211yescharacteristic
155#19127574C2211yescharacteristic
156#19127574C2211yescharacteristic
157#19127574C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic, complemented
159#19127572C2211yescharacteristic, complemented
160#19127572C2211yescharacteristic, complemented
161#19127569C2211yescharacteristic, complemented
162#19127567C2211yescharacteristic, complemented
163#19127564C2211yescharacteristic
164#19127564C2211yescharacteristic
165#19127561C2211yescharacteristic
166#19127561C2211yescharacteristic
167#19127561C2211yescharacteristic
168#19127558C2211yescharacteristic, complemented
169#19127558C2211yescharacteristic, complemented
170#19127557C2211yescharacteristic
171C4×C22⋊Dic83C2211yescharacteristic, complemented
172C2×C83⋊#95C2211yescharacteristic, complemented
173C22×#41×C83C2211yescharacteristic
174C24×C4×C83C2211yescharacteristic
175#525×C83—28no—
176C2×#123×C83C2211yescharacteristic
177C2×#123×C83C2211yescharacteristic
178C2×C22⋊Q8×C83C2211yescharacteristic
179C2×C22⋊Q8×C83C2211yescharacteristic
180C2×#121×C83C2211yescharacteristic
181C2×#121×C83C2211yescharacteristic
182C2×#120×C83C2211yescharacteristic
183C2×#120×C83C2211yescharacteristic
184C2×C4×D4×C83C2211yescharacteristic
185C2×C4×D4×C83C2211yescharacteristic
186C2×C4×D4×C83C2211yescharacteristic
187C2×C4×D4×C83C2211yescharacteristic
188C2×#117×C83C2211yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C22×C22⋊D83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212#14581788—24no—
213#14581788—42no—
214#14581783—24no—
215#14581781—42no—
216#14581775—24no—
217#14581775—24no—
218#14581775—42no—
219#14581774—24no—
220#14581774—24no—
221#14581767—24no—
222#14581766—24no—
223#14581766—24no—
224#14581766—42no—
225#14581766—42no—
226#14581765—24no—
227#14581765—24no—
228#14581764—42no—
229#14581764—42no—
230#14581764—42no—
231#14581764—42no—
232#14581763—24no—
233#14581763—42no—
234#14581763—42no—
235#14581761—42no—
236#14581761—42no—
237#14581761—42no—
238C4×D332—24no—
239#14581749—24no—
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
246C2×C4⋊Dic83C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
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×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
280C2×C22⋊Dic83C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C2×C4×Dic83C2311yescharacteristic
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
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C25×C83C2311yescharacteristic
338C2×#41×C83—24no—
339C2×#41×C83—42no—
340C2×#41×C83—42no—
341C22×Q8×C83C2311yescharacteristic
342C22×D4×C83C2311yescharacteristic
343C22×D4×C83C2311yescharacteristic
344C22×D4×C83C2311yescharacteristic
345C22×D4×C83C2311yescharacteristic
346C22×D4×C83C2311yescharacteristic
347C22×D4×C83C2311yescharacteristic
348C22×D4×C83C2311yescharacteristic
349C23×C4×C83—24no—
350C23×C4×C83—42no—
351C23×C4×C83—42no—
352C23×C4×C83C2311yescharacteristic
353C23×C4×C83C2311yescharacteristic
354C23×C4×C83C2311yescharacteristic
355C23×C4×C83C2311yescharacteristic
356C23×C4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358C23×C4×C83C2311yescharacteristic
359C23×C4×C83C2311yescharacteristic
360#123×C83—24no—
361#123×C83—24no—
362C22⋊Q8×C83—24no—
363C22⋊Q8×C83—24no—
364#121×C83—24no—
365#121×C83—24no—
366#120×C83—24no—
367#120×C83—24no—
368C4×D4×C83—24no—
369C4×D4×C83—24no—
370C4×D4×C83—24no—
371C4×D4×C83D418yescomplemented
372#117×C83—24no—
373C2×C4⋊C4×C83C2311yescharacteristic
374C2×C4⋊C4×C83C2311yescharacteristic
375C2×C4⋊C4×C83C2311yescharacteristic
376C2×C4⋊C4×C83C2311yescharacteristic
377C2×C4⋊C4×C83C2311yescharacteristic
378C2×C4⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C22⋊C4×C83C2311yescharacteristic
382C2×C22⋊C4×C83C2311yescharacteristic
383C2×C22⋊C4×C83C2311yescharacteristic
384C2×C22⋊C4×C83C2311yescharacteristic
385C2×C22⋊C4×C83C2311yescharacteristic
386C2×C22⋊C4×C83C2311yescharacteristic
387C2×C22⋊C4×C83C2311yescharacteristic
388C2×C22⋊C4×C83C2311yescharacteristic
389C2×C42×C83C2311yescharacteristic
390C2×C42×C83C2311yescharacteristic
391C23×D83C2411yescharacteristic
392C23×D83C2411yescharacteristic
393C23×D83C2411yescharacteristic
394C2×D332—22no—
395C2×D332—22no—
396C2×D332—22no—
397C2×D332—41no—
398C2×D332—41no—
399C2×D332—41no—
400C2×D332—41no—
401C2×D332—41no—
402C2×D332—41no—
403C2×C22⋊D83—22no—
404C2×C22⋊D83—22no—
405C2×C22⋊D83—22no—
406C2×C22⋊D83—22no—
407C2×C22⋊D83—22no—
408C2×C22⋊D83—22no—
409C2×C22⋊D83—22no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—41no—
416C2×C22⋊D83—41no—
417C2×C22⋊D83—41no—
418C2×C22⋊D83—41no—
419C2×C22⋊D83—41no—
420C2×C22⋊D83—41no—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83—41no—
424C2×C22⋊D83—41no—
425C2×C22⋊D83—41no—
426C2×C22⋊D83—41no—
427C2×C22⋊D83—41no—
428C2×C22⋊D83—41no—
429C2×C22⋊D83—41no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—41no—
432C2×C22⋊D83—41no—
433C2×C22⋊D83—41no—
434C2×C22⋊D83—41no—
435C2×C22⋊D83—41no—
436C2×C22⋊D83—41no—
437C2×C22⋊D83—41no—
438C2×C22⋊D83—41no—
439C2×C22⋊D83—41no—
440C2×C22⋊D83—41no—
441C2×C22⋊D83—41no—
442C2×C22⋊D83—41no—
443C2×C22⋊D83—41no—
444C2×C22⋊D83—41no—
445C2×C22⋊D83—41no—
446C2×C22⋊D83—41no—
447C2×C22⋊D83—41no—
448C22×Dic83—41no—
449C22×Dic83—41no—
450C22×Dic83—41no—
451C22×Dic83—41no—
452C22×Dic83—41no—
453C22×Dic83—41no—
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C22×Dic83C2411yescharacteristic
463C22×Dic83C2411yescharacteristic
464C22×Dic83C2411yescharacteristic
465C22×Dic83C2411yescharacteristic
466C22×Dic83C2411yescharacteristic
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—41no—
471C2×C4×D83—41no—
472C2×C4×D83—41no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C4⋊Dic83—22no—
477C4⋊Dic83—22no—
478C4⋊Dic83—22no—
479C4⋊Dic83—41no—
480C4⋊Dic83—41no—
481C4⋊Dic83—41no—
482C4⋊Dic83—41no—
483Dic83⋊C4—22no—
484Dic83⋊C4—22no—
485Dic83⋊C4—22no—
486Dic83⋊C4—22no—
487Dic83⋊C4—22no—
488Dic83⋊C4—41no—
489Dic83⋊C4—41no—
490Dic83⋊C4—41no—
491Dic83⋊C4—41no—
492Dic83⋊C4—41no—
493Dic83⋊C4—41no—
494C22⋊Dic83—22no—
495C22⋊Dic83—22no—
496C22⋊Dic83—22no—
497C22⋊Dic83—22no—
498C22⋊Dic83—22no—
499C22⋊Dic83—22no—
500C22⋊Dic83—41no—
501C22⋊Dic83—41no—
502C22⋊Dic83—41no—
503C22⋊Dic83—41no—
504C22⋊Dic83—41no—
505C22⋊Dic83—41no—
506C22⋊Dic83—41no—
507C22⋊Dic83—41no—
508C22⋊Dic83—41no—
509C22⋊Dic83—41no—
510C22⋊Dic83—41no—
511C22⋊Dic83—41no—
512C22⋊Dic83—41no—
513C22⋊Dic83—41no—
514C22⋊Dic83—41no—
515C22⋊Dic83—41no—
516C22⋊Dic83—41no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—22no—
519(C2×D83)⋊C4—22no—
520(C2×D83)⋊C4—22no—
521(C2×D83)⋊C4—22no—
522(C2×D83)⋊C4—22no—
523(C2×D83)⋊C4—22no—
524(C2×D83)⋊C4—22no—
525(C2×D83)⋊C4—22no—
526(C2×D83)⋊C4—41no—
527(C2×D83)⋊C4—41no—
528(C2×D83)⋊C4—41no—
529(C2×D83)⋊C4—41no—
530(C2×D83)⋊C4—41no—
531(C2×D83)⋊C4—41no—
532(C2×D83)⋊C4—41no—
533(C2×D83)⋊C4—41no—
534(C2×D83)⋊C4—41no—
535(C2×D83)⋊C4—41no—
536(C2×D83)⋊C4—41no—
537(C2×D83)⋊C4—41no—
538C4×Dic83—22no—
539C4×Dic83—41no—
540C4×Dic83—41no—
541C24×C83—22no—
542C24×C83—22no—
543C24×C83—22no—
544C24×C83—41no—
545C24×C83—41no—
546C24×C83—41no—
547C24×C83—41no—
548C24×C83C2411yescharacteristic
549C24×C83C2411yescharacteristic
550C24×C83C2411yescharacteristic
551C24×C83C2411yescharacteristic
552C24×C83C2411yescharacteristic
553#41×C83—416no—
554C2×Q8×C83—22no—
555C2×Q8×C83—22no—
556C2×Q8×C83—41no—
557C2×D4×C83—22no—
558C2×D4×C83—22no—
559C2×D4×C83—22no—
560C2×D4×C83—22no—
561C2×D4×C83—22no—
562C2×D4×C83—22no—
563C2×D4×C83—22no—
564C2×D4×C83—22no—
565C2×D4×C83—22no—
566C2×D4×C83—22no—
567C2×D4×C83—22no—
568C2×D4×C83—41no—
569C2×D4×C83—41no—
570C2×D4×C83—41no—
571C2×D4×C83—41no—
572C2×D4×C83—41no—
573C2×D4×C83—41no—
574C2×D4×C83—41no—
575C2×D4×C83—41no—
576C2×D4×C83—41no—
577C2×D4×C83C2×D414yes—
578C22×C4×C83—22no—
579C22×C4×C83—22no—
580C22×C4×C83—22no—
581C22×C4×C83—22no—
582C22×C4×C83—22no—
583C22×C4×C83—22no—
584C22×C4×C83—22no—
585C22×C4×C83—22no—
586C22×C4×C83—22no—
587C22×C4×C83—22no—
588C22×C4×C83—22no—
589C22×C4×C83—41no—
590C22×C4×C83—41no—
591C22×C4×C83—41no—
592C22×C4×C83—41no—
593C22×C4×C83—41no—
594C22×C4×C83—41no—
595C22×C4×C83—41no—
596C22×C4×C83—41no—
597C22×C4×C83—41no—
598C22×C4×C83—41no—
599C22×C4×C83—41no—
600C22×C4×C83—416no—
601C22×C4×C83C2×D414yes—
602C22×C4×C83C2×D414yes—
603C22×C4×C83C2411yescharacteristic
604C22×C4×C83C2411yescharacteristic
605C22×C4×C83C2411yescharacteristic
606C22×C4×C83C2411yescharacteristic
607C22×C4×C83C2411yescharacteristic
608C22×C4×C83C2411yescharacteristic
609C22×C4×C83C2411yescharacteristic
610C22×C4×C83C2411yescharacteristic
611C22×C4×C83C2411yescharacteristic
612C22×C4×C83C2411yescharacteristic
613C4⋊C4×C83—22no—
614C4⋊C4×C83—22no—
615C4⋊C4×C83—22no—
616C4⋊C4×C83—22no—
617C4⋊C4×C83—22no—
618C4⋊C4×C83C2×D414yes—
619C22⋊C4×C83—22no—
620C22⋊C4×C83—22no—
621C22⋊C4×C83—22no—
622C22⋊C4×C83—22no—
623C22⋊C4×C83—22no—
624C22⋊C4×C83—22no—
625C22⋊C4×C83—22no—
626C22⋊C4×C83—22no—
627C22⋊C4×C83C2×D414yes—
628C22⋊C4×C83C2×D414yes—
629C42×C83—22no—
630C42×C83C2×D414yes—
631C23×C83—21no—
632C23×C83—21no—
633C23×C83—21no—
634C23×C83—21no—
635C23×C83—21no—
636C23×C83—21no—
637C23×C83—21no—
638C23×C83—21no—
639C23×C83—21no—
640C23×C83—21no—
641C23×C83—21no—
642C23×C83—21no—
643C23×C83—21no—
644C23×C83—21no—
645C23×C83—21no—
646C23×C83—21no—
647C23×C83—21no—
648C23×C83—21no—
649C23×C83—21no—
650C23×C83—21no—
651C23×C83—21no—
652C23×C83—21no—
653C23×C83—21no—
654C23×C83—21no—
655C23×C83—21no—
656C23×C83—21no—
657C23×C83—21no—
658C23×C83—21no—
659C23×C83—21no—
660C23×C83—21no—
661C23×C83—21no—
662C23×C83—44no—
663C23×C83—44no—
664C23×C83—44no—
665C23×C83—44no—
666C23×C83—44no—
667C23×C83—44no—
668C23×C83—44no—
669C23×C83C22×D412yes—
670C23×C83C22×D412yes—
671C23×C83H(5,𝔽2)12yes—
672C23×C83H(5,𝔽2)12yes—
673C23×C83C2511yescharacteristic
674C22×D83—21no—
675C22×D83—21no—
676C22×D83—21no—
677C22×D83—21no—
678C22×D83—21no—
679C22×D83—21no—
680C22×D83—21no—
681C22×D83—21no—
682C22×D83—21no—
683C22×D83—21no—
684C22×D83—21no—
685C22×D83—21no—
686C22×D83—21no—
687C22×D83—21no—
688C22×D83—21no—
689C22×D83—21no—
690C22×D83—21no—
691C22×D83—21no—
692C22×D83—21no—
693C22×D83—21no—
694C22×D83—21no—
695Q8×C83—44no—
696D4×C83—44no—
697D4×C83—44no—
698D4×C83—44no—
699D4×C83—44no—
700D4×C83—44no—
701D4×C83—44no—
702D4×C83—44no—
703C2×C4×C83—28no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—44no—
729C2×C4×C83—44no—
730C2×C4×C83—44no—
731C2×C4×C83—44no—
732C2×C4×C83—44no—
733C2×C4×C83—44no—
734C2×C4×C83—44no—
735C2×C4×C83C22×D412yes—
736C2×C4×C83C22×D412yes—
737C2×C4×C83C22×D412yes—
738C2×C4×C83C22×D412yes—
739C2×C4×C83C22×D412yes—
740C2×C4×C83H(5,𝔽2)12yes—
741C22⋊D83—82no—
742C22⋊D83—82no—
743C22⋊D83—82no—
744C22⋊D83—82no—
745C22⋊D83—82no—
746C22⋊D83—82no—
747C22⋊D83—82no—
748C22⋊D83—82no—
749C22⋊D83—82no—
750C22⋊D83—82no—
751C22⋊D83—82no—
752C22⋊D83—82no—
753C22⋊D83—82no—
754C22⋊D83—82no—
755C22⋊D83—82no—
756C2×Dic83—21no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—21no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—21no—
775C2×Dic83—21no—
776C2×Dic83—21no—
777C2×Dic83—21no—
778C2×Dic83—21no—
779C2×Dic83—21no—
780C2×Dic83—21no—
781C2×Dic83—21no—
782C2×Dic83—21no—
783C2×Dic83—21no—
784C2×Dic83—21no—
785C2×Dic83—21no—
786C2×Dic83—21no—
787C2×Dic83—21no—
788C2×Dic83—21no—
789C2×Dic83—21no—
790C2×Dic83—21no—
791C2×Dic83—21no—
792C2×Dic83—21no—
793C2×Dic83—21no—
794C2×Dic83—21no—
795C2×Dic83—82no—
796C2×Dic83—82no—
797D332—44no—
798D332—82no—
799D332—82no—
800C4×D83—44no—
801C4×D83—82no—
802C4×D83—82no—
803C22×C83—22no—
804C22×C83—22no—
805C22×C83—22no—
806C22×C83—22no—
807C22×C83—22no—
808C22×C83—22no—
809C22×C83—22no—
810C22×C83—22no—
811C22×C83—22no—
812C22×C83—22no—
813C22×C83—22no—
814C22×C83—22no—
815C22×C83—416no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—41no—
825C22×C83—41no—
826C22×C83—41no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—41no—
831C22×C83—41no—
832C22×C83—41no—
833C22×C83—41no—
834C22×C83—41no—
835C22×C83—41no—
836C22×C83—41no—
837C22×C83—41no—
838C22×C83—41no—
839C22×C83C23×D411yescharacteristic
840C22×C83C2×H(5,𝔽2)11yescharacteristic
841C22×C83C2×H(5,𝔽2)11yescharacteristic
842C22×C83C2×H(5,𝔽2)11yescharacteristic
843C22×C83#58511yescharacteristic
844C22×C83#58511yescharacteristic
845C22×C83#58511yescharacteristic
846C2×D83—41no—
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—41no—
852C2×D83—41no—
853C2×D83—41no—
854C2×D83—41no—
855C2×D83—41no—
856C2×D83—41no—
857C2×D83—41no—
858C2×D83—41no—
859C2×D83—41no—
860C2×D83—41no—
861C2×D83—41no—
862C2×D83—41no—
863C2×D83—41no—
864C2×D83—41no—
865C2×D83—41no—
866C2×D83—41no—
867C4×C83—22no—
868C4×C83—22no—
869C4×C83—22no—
870C4×C83—22no—
871C4×C83—22no—
872C4×C83—22no—
873C4×C83—41no—
874C4×C83—41no—
875C4×C83—41no—
876C4×C83—41no—
877Dic83—41no—
878Dic83—41no—
879Dic83—41no—
880Dic83—41no—
881Dic83—41no—
882Dic83—41no—
883Dic83—41no—
884Dic83—41no—
885Dic83—41no—
886Dic83—41no—
887Dic83—41no—
888Dic83—41no—
889Dic83—41no—
890#36713—831nomaximal, Sylow
891C2×C83—42no—
892C2×C83—42no—
893C2×C83—42no—
894C2×C83—42no—
895C2×C83—81no—
896C2×C83#344911yescharacteristic
897C2×C83#348411yescharacteristic
898C2×C83#348811yescharacteristic
899C2×C83#353311yescharacteristic
900C2×C83#353411yescharacteristic
901C2×C83#353911yescharacteristic
902C2×C83#354211yescharacteristic
903D83—81no—
904D83—81no—
905D83—81no—
906C2×#540—831no—
907C2×#525D8311yescharacteristic, complemented
908#2849—831no—
909#2847—831no—
910#2694—831no—
911#2693—831no—
912#2690—831no—
913#2688—831no—
914#2687—831no—
915#2678—831no—
916#2676—831no—
917#2675—831no—
918#2673—831no—
919#2673—831no—
920#2672—831no—
921#2671—831no—
922#2671—831no—
923#2669—831no—
924#2669—831no—
925#2668—831no—
926#2635—831no—
927#2630—831no—
928#2609—831no—
929#2602—831no—
930#2598—831no—
931#2598—831no—
932#2543—831no—
933#2535—831no—
934#2431—831no—
935#2430—831no—
936#2318—831no—
937C83#3671311yescharacteristic, complemented, Sylow
938C22×#41C2×D8311yescharacteristic
939C24×C4C2×D8311yescharacteristic
940#540—1668no—
941C2×#127—831no—
942C2×#127—831no—
943C2×#125—831no—
944C2×#124—831no—
945#525—28no—
946C2×#123—831no—
947C2×#123—831no—
948C2×#123—831no—
949C2×#123—831no—
950C2×#123—831no—
951C2×#123C2×D8311yescharacteristic
952C2×#123C2×D8311yescharacteristic
953C2×C22⋊Q8C2×D8311yescharacteristic
954C2×C22⋊Q8C2×D8311yescharacteristic
955C2×#121—831no—
956C2×#121—831no—
957C2×#121—831no—
958C2×#121—831no—
959C2×#121—831no—
960C2×#121—831no—
961C2×#121—831no—
962C2×#121—831no—
963C2×#121—831no—
964C2×#121—831no—
965C2×#121—831no—
966C2×#121—831no—
967C2×#121—831no—
968C2×#121—831no—
969C2×#121C2×D8311yescharacteristic
970C2×#121C2×D8311yescharacteristic
971C2×#120—831no—
972C2×#120—831no—
973C2×#120—831no—
974C2×#120C2×D8311yescharacteristic
975C2×#120C2×D8311yescharacteristic
976C2×C4×D4—831no—
977C2×C4×D4C2×D8311yescharacteristic
978C2×C4×D4C2×D8311yescharacteristic
979C2×C4×D4C2×D8311yescharacteristic
980C2×C4×D4C2×D8311yescharacteristic
981C2×#117—831no—
982C2×#117C2×D8311yescharacteristic
983#400—831no—
984#400—831no—
985#400—831no—
986#399—831no—
987#399—831no—
988#399—831no—
989#398—831no—
990#398—831no—
991#398—831no—
992#397—831no—
993#397—831no—
994#397—831no—
995#397—831no—
996#397—831no—
997#396—831no—
998#396—831no—
999#396—831no—
1000#396—831no—
1001#395—831no—
1002#394—831no—
1003#394—831no—
1004#394—831no—
1005#394—831no—
1006#394—831no—
1007#394—831no—
1008#394—831no—
1009#394—831no—
1010#394—831no—
1011#394—831no—
1012#394—831no—
1013#394—831no—
1014#394—831no—
1015#393—831no—
1016#392—831no—
1017#392—831no—
1018#392—831no—
1019#392—831no—
1020#392—831no—
1021#392—831no—
1022#392—831no—
1023#392—831no—
1024#392—831no—
1025#392—831no—
1026#392—831no—
1027#392—831no—
1028#392—831no—
1029#392—831no—
1030#392—831no—
1031#391—831no—
1032#390—831no—
1033#390—831no—
1034#389—831no—
1035#388—831no—
1036#388—831no—
1037#388—831no—
1038#388—831no—
1039#388—831no—
1040#388—831no—
1041#388—831no—
1042#388—831no—
1043#388—831no—
1044#388—831no—
1045#387—831no—
1046#387—831no—
1047#387—831no—
1048#387—831no—
1049#386—831no—
1050#386—831no—
1051#386—831no—
1052#386—831no—
1053#386—831no—
1054#386—831no—
1055#386—831no—
1056#386—831no—
1057#386—831no—
1058#386—831no—
1059#386—831no—
1060#386—831no—
1061#386—831no—
1062#386—831no—
1063#386—831no—
1064#386—831no—
1065#386—831no—
1066#386—831no—
1067#386—831no—
1068#386—831no—
1069#386—831no—
1070#386—831no—
1071#386—831no—
1072#386—831no—
1073#385—831no—
1074#385—831no—
1075#385—831no—
1076#385—831no—
1077#385—831no—
1078#385—831no—
1079#385—831no—
1080#385—831no—
1081#385—831no—
1082#385—831no—
1083#383—831no—
1084#382—831no—
1085#381—831no—
1086#381—831no—
1087#380—831no—
1088#380—831no—
1089#380—831no—
1090#380—831no—
1091#380—831no—
1092#379—831no—
1093C4×C22⋊C4—831no—
1094C2×#95—831no—
1095C25C22×D8311yescharacteristic
1096C2×#41—24no—
1097C2×#41—42no—
1098C2×#41—42no—
1099C22×Q8C22×D8311yescharacteristic
1100C22×D4—831no—
1101C22×D4—831no—
1102C22×D4—831no—
1103C22×D4—831no—
1104C22×D4—831no—
1105C22×D4—831no—
1106C22×D4—831no—
1107C22×D4—831no—
1108C22×D4—831no—
1109C22×D4—831no—
1110C22×D4—831no—
1111C22×D4—831no—
1112C22×D4—831no—
1113C22×D4—831no—
1114C22×D4—831no—
1115C22×D4—831no—
1116C22×D4—831no—
1117C22×D4—831no—
1118C22×D4C22×D8311yescharacteristic
1119C22×D4C22×D8311yescharacteristic
1120C22×D4C22×D8311yescharacteristic
1121C22×D4C22×D8311yescharacteristic
1122C22×D4C22×D8311yescharacteristic
1123C22×D4C22×D8311yescharacteristic
1124C22×D4C22×D8311yescharacteristic
1125C23×C4—24no—
1126C23×C4—42no—
1127C23×C4—42no—
1128C23×C4—831no—
1129C23×C4—831no—
1130C23×C4—831no—
1131C23×C4—831no—
1132C23×C4—831no—
1133C23×C4C22×D8311yescharacteristic
1134C23×C4C22×D8311yescharacteristic
1135C23×C4C22×D8311yescharacteristic
1136C23×C4C22×D8311yescharacteristic
1137C23×C4C22×D8311yescharacteristic
1138C23×C4C22×D8311yescharacteristic
1139C23×C4C22×D8311yescharacteristic
1140C23×C4C22×D8311yescharacteristic
1141#127—3322no—
1142#127—1664no—
1143#125—1664no—
1144#124—3322no—
1145#123—24no—
1146#123—24no—
1147#123—3322no—
1148#123—1664no—
1149#123—1664no—
1150#123—1664no—
1151#123—1664no—
1152C22⋊Q8—24no—
1153C22⋊Q8—24no—
1154#121—24no—
1155#121—24no—
1156#121—3322no—
1157#121—3322no—
1158#121—3322no—
1159#121—3322no—
1160#121—3322no—
1161#121—3322no—
1162#121—3322no—
1163#121—3322no—
1164#121—1664no—
1165#121—1664no—
1166#121—1664no—
1167#121—1664no—
1168#121—1664no—
1169#121—1664no—
1170#120—24no—
1171#120—24no—
1172#120—3322no—
1173#120—3322no—
1174#120—3322no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—24no—
1178C4×D4—1664no—
1179C4×D4C22⋊D8318yescomplemented
1180#117—24no—
1181#117—1664no—
1182C2×C4⋊C4—831no—
1183C2×C4⋊C4—831no—
1184C2×C4⋊C4—831no—
1185C2×C4⋊C4—831no—
1186C2×C4⋊C4—831no—
1187C2×C4⋊C4—831no—
1188C2×C4⋊C4—831no—
1189C2×C4⋊C4—831no—
1190C2×C4⋊C4—831no—
1191C2×C4⋊C4—831no—
1192C2×C4⋊C4—831no—
1193C2×C4⋊C4—831no—
1194C2×C4⋊C4—831no—
1195C2×C4⋊C4—831no—
1196C2×C4⋊C4—831no—
1197C2×C4⋊C4—831no—
1198C2×C4⋊C4—831no—
1199C2×C4⋊C4—831no—
1200C2×C4⋊C4C22×D8311yescharacteristic
1201C2×C4⋊C4C22×D8311yescharacteristic
1202C2×C4⋊C4C22×D8311yescharacteristic
1203C2×C4⋊C4C22×D8311yescharacteristic
1204C2×C4⋊C4C22×D8311yescharacteristic
1205C2×C4⋊C4C22×D8311yescharacteristic
1206C2×C22⋊C4—831no—
1207C2×C22⋊C4—831no—
1208C2×C22⋊C4—831no—
1209C2×C22⋊C4—831no—
1210C2×C22⋊C4—831no—
1211C2×C22⋊C4—831no—
1212C2×C22⋊C4—831no—
1213C2×C22⋊C4—831no—
1214C2×C22⋊C4—831no—
1215C2×C22⋊C4—831no—
1216C2×C22⋊C4—831no—
1217C2×C22⋊C4—831no—
1218C2×C22⋊C4—831no—
1219C2×C22⋊C4—831no—
1220C2×C22⋊C4—831no—
1221C2×C22⋊C4—831no—
1222C2×C22⋊C4—831no—
1223C2×C22⋊C4—831no—
1224C2×C22⋊C4—831no—
1225C2×C22⋊C4—831no—
1226C2×C22⋊C4—831no—
1227C2×C22⋊C4—831no—
1228C2×C22⋊C4—831no—
1229C2×C22⋊C4—831no—
1230C2×C22⋊C4—831no—
1231C2×C22⋊C4—831no—
1232C2×C22⋊C4—831no—
1233C2×C22⋊C4—831no—
1234C2×C22⋊C4—831no—
1235C2×C22⋊C4—831no—
1236C2×C22⋊C4—831no—
1237C2×C22⋊C4—831no—
1238C2×C22⋊C4—831no—
1239C2×C22⋊C4—831no—
1240C2×C22⋊C4—831no—
1241C2×C22⋊C4—831no—
1242C2×C22⋊C4—831no—
1243C2×C22⋊C4—831no—
1244C2×C22⋊C4—831no—
1245C2×C22⋊C4—831no—
1246C2×C22⋊C4—831no—
1247C2×C22⋊C4—831no—
1248C2×C22⋊C4—831no—
1249C2×C22⋊C4—831no—
1250C2×C22⋊C4C22×D8311yescharacteristic
1251C2×C22⋊C4C22×D8311yescharacteristic
1252C2×C22⋊C4C22×D8311yescharacteristic
1253C2×C22⋊C4C22×D8311yescharacteristic
1254C2×C22⋊C4C22×D8311yescharacteristic
1255C2×C22⋊C4C22×D8311yescharacteristic
1256C2×C22⋊C4C22×D8311yescharacteristic
1257C2×C22⋊C4C22×D8311yescharacteristic
1258C2×C22⋊C4C22×D8311yescharacteristic
1259C2×C22⋊C4C22×D8311yescharacteristic
1260C2×C42—831no—
1261C2×C42—831no—
1262C2×C42—831no—
1263C2×C42C22×D8311yescharacteristic
1264C2×C42C22×D8311yescharacteristic
1265#95—831no—
1266#95—831no—
1267#95—831no—
1268#95—831no—
1269#95—831no—
1270#95—831no—
1271#95—831no—
1272#95—831no—
1273#95—831no—
1274#95—831no—
1275#95—831no—
1276#95—831no—
1277#95—831no—
1278#95—831no—
1279#95—831no—
1280#95—831no—
1281#95—831no—
1282#95—831no—
1283#95—831no—
1284#95—831no—
1285#95—831no—
1286#95—831no—
1287#95—831no—
1288#95—831no—
1289#95—831no—
1290#95—831no—
1291#95—831no—
1292#95—831no—
1293#95—831no—
1294#95—831no—
1295#95—831no—
1296#95—831no—
1297C24—22no—
1298C24—22no—
1299C24—22no—
1300C24—41no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24—831no—
1305C24—831no—
1306C24—831no—
1307C24C23×D8311yescharacteristic
1308C24C23×D8311yescharacteristic
1309C24C23×D8311yescharacteristic
1310C24C23×D8311yescharacteristic
1311C24C23×D8311yescharacteristic
1312#41—416no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—3321no—
1337C2×D4—3321no—
1338C2×D4—3321no—
1339C2×D4—3321no—
1340C2×D4—3321no—
1341C2×D4—3321no—
1342C2×D4—3321no—
1343C2×D4—3321no—
1344C2×D4—3321no—
1345C2×D4—3321no—
1346C2×D4—3321no—
1347C2×D4—3321no—
1348C2×D4—3321no—
1349C2×D4—3321no—
1350C2×D4—3321no—
1351C2×D4—3321no—
1352C2×D4—3321no—
1353C2×D4—3321no—
1354C2×D4—3321no—
1355C2×D4—3321no—
1356C2×D4—3321no—
1357C2×D4—3321no—
1358C2×D4—3321no—
1359C2×D4—3321no—
1360C2×D4—3321no—
1361C2×D4—3321no—
1362C2×D4—3321no—
1363C2×D4—3321no—
1364C2×D4—3321no—
1365C2×D4—3321no—
1366C2×D4—3321no—
1367C2×D4—3321no—
1368C2×D4—3321no—
1369C2×D4—3321no—
1370C2×D4—3321no—
1371C2×D4—3321no—
1372C2×D4—3321no—
1373C2×D4—3321no—
1374C2×D4—3321no—
1375C2×D4—1662no—
1376C2×D4—1662no—
1377C2×D4—1662no—
1378C2×D4—1662no—
1379C2×D4—1662no—
1380C2×D4—1662no—
1381C2×D4—1662no—
1382C2×D4—1662no—
1383C2×D4—1662no—
1384C2×D4—1662no—
1385C2×D4—1662no—
1386C2×D4—1662no—
1387C2×D4—1662no—
1388C2×D4—1662no—
1389C2×D4—1662no—
1390C2×D4C2×C22⋊D8314yes—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—416no—
1414C22×C4—3321no—
1415C22×C4—3321no—
1416C22×C4—3321no—
1417C22×C4—3321no—
1418C22×C4—3321no—
1419C22×C4—3321no—
1420C22×C4—3321no—
1421C22×C4—3321no—
1422C22×C4—3321no—
1423C22×C4—3321no—
1424C22×C4—3321no—
1425C22×C4—3321no—
1426C22×C4—831no—
1427C22×C4—831no—
1428C22×C4—831no—
1429C22×C4—831no—
1430C22×C4—831no—
1431C22×C4—831no—
1432C22×C4—831no—
1433C22×C4—831no—
1434C22×C4—831no—
1435C22×C4—831no—
1436C22×C4—831no—
1437C22×C4—831no—
1438C22×C4—831no—
1439C22×C4—1662no—
1440C22×C4—1662no—
1441C22×C4—1662no—
1442C22×C4C2×C22⋊D8314yes—
1443C22×C4C2×C22⋊D8314yes—
1444C22×C4C23×D8311yescharacteristic
1445C22×C4C23×D8311yescharacteristic
1446C22×C4C23×D8311yescharacteristic
1447C22×C4C23×D8311yescharacteristic
1448C22×C4C23×D8311yescharacteristic
1449C22×C4C23×D8311yescharacteristic
1450C22×C4C23×D8311yescharacteristic
1451C22×C4C23×D8311yescharacteristic
1452C22×C4C23×D8311yescharacteristic
1453C22×C4C23×D8311yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—3321no—
1460C4⋊C4—3321no—
1461C4⋊C4—3321no—
1462C4⋊C4—3321no—
1463C4⋊C4—3321no—
1464C4⋊C4—3321no—
1465C4⋊C4—3321no—
1466C4⋊C4—3321no—
1467C4⋊C4—3321no—
1468C4⋊C4—3321no—
1469C4⋊C4—1662no—
1470C4⋊C4—1662no—
1471C4⋊C4—1662no—
1472C4⋊C4—1662no—
1473C4⋊C4—1662no—
1474C4⋊C4—1662no—
1475C4⋊C4—1662no—
1476C4⋊C4—1662no—
1477C4⋊C4C2×C22⋊D8314yes—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—3321no—
1487C22⋊C4—3321no—
1488C22⋊C4—3321no—
1489C22⋊C4—3321no—
1490C22⋊C4—3321no—
1491C22⋊C4—3321no—
1492C22⋊C4—3321no—
1493C22⋊C4—3321no—
1494C22⋊C4—3321no—
1495C22⋊C4—3321no—
1496C22⋊C4—3321no—
1497C22⋊C4—3321no—
1498C22⋊C4—3321no—
1499C22⋊C4—3321no—
1500C22⋊C4—3321no—
1501C22⋊C4—3321no—
1502C22⋊C4—3321no—
1503C22⋊C4—3321no—
1504C22⋊C4—3321no—
1505C22⋊C4—3321no—
1506C22⋊C4—3321no—
1507C22⋊C4—3321no—
1508C22⋊C4—3321no—
1509C22⋊C4—3321no—
1510C22⋊C4—3321no—
1511C22⋊C4—3321no—
1512C22⋊C4—3321no—
1513C22⋊C4—3321no—
1514C22⋊C4—3321no—
1515C22⋊C4—1662no—
1516C22⋊C4—1662no—
1517C22⋊C4—1662no—
1518C22⋊C4—1662no—
1519C22⋊C4—1662no—
1520C22⋊C4—1662no—
1521C22⋊C4—1662no—
1522C22⋊C4—1662no—
1523C22⋊C4—1662no—
1524C22⋊C4—1662no—
1525C22⋊C4—1662no—
1526C22⋊C4—1662no—
1527C22⋊C4—1662no—
1528C22⋊C4—1662no—
1529C22⋊C4—1662no—
1530C22⋊C4C2×C22⋊D8314yes—
1531C22⋊C4C2×C22⋊D8314yes—
1532C42—22no—
1533C42—3321no—
1534C42—3321no—
1535C42—1662no—
1536C42C2×C22⋊D8314yes—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—44no—
1569C23—44no—
1570C23—44no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—1661no—
1576C23—1661no—
1577C23—1661no—
1578C23—1661no—
1579C23—1661no—
1580C23—1661no—
1581C23—1661no—
1582C23—1661no—
1583C23—1661no—
1584C23—1661no—
1585C23—1661no—
1586C23—1661no—
1587C23—1661no—
1588C23—1661no—
1589C23—1661no—
1590C23—1661no—
1591C23—1661no—
1592C23—1661no—
1593C23—1661no—
1594C23—1661no—
1595C23—1661no—
1596C23C22×C22⋊D8312yes—
1597C23C22×C22⋊D8312yes—
1598C23#1458183712yes—
1599C23#1458183812yes—
1600C23C24×D8311yescharacteristic
1601Q8—44no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—44no—
1606D4—44no—
1607D4—44no—
1608D4—44no—
1609D4—3324no—
1610D4—6642no—
1611D4—6642no—
1612D4—6642no—
1613D4—6642no—
1614D4—6642no—
1615D4—6642no—
1616D4—6642no—
1617D4—6642no—
1618D4—6642no—
1619D4—6642no—
1620D4—6642no—
1621D4—6642no—
1622D4—6642no—
1623D4—6642no—
1624D4—6642no—
1625D4—6642no—
1626D4—6642no—
1627C2×C4—28no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—3324no—
1660C2×C4—6642no—
1661C2×C4—6642no—
1662C2×C4—6642no—
1663C2×C4—6642no—
1664C2×C4—1661no—
1665C2×C4—1661no—
1666C2×C4—1661no—
1667C2×C4—1661no—
1668C2×C4—1661no—
1669C2×C4—1661no—
1670C2×C4—1661no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1661no—
1679C2×C4—1661no—
1680C2×C4—1661no—
1681C2×C4—1661no—
1682C2×C4—1661no—
1683C2×C4—1661no—
1684C2×C4—1661no—
1685C2×C4—1661no—
1686C2×C4—1661no—
1687C2×C4—1661no—
1688C2×C4—1661no—
1689C2×C4—1661no—
1690C2×C4—1661no—
1691C2×C4—1661no—
1692C2×C4—1661no—
1693C2×C4—1661no—
1694C2×C4—1661no—
1695C2×C4—1661no—
1696C2×C4—1661no—
1697C2×C4—1661no—
1698C2×C4—1661no—
1699C2×C4—1661no—
1700C2×C4—1661no—
1701C2×C4—1661no—
1702C2×C4—1661no—
1703C2×C4C22×C22⋊D8312yes—
1704C2×C4C22×C22⋊D8312yes—
1705C2×C4C22×C22⋊D8312yes—
1706C2×C4C22×C22⋊D8312yes—
1707C2×C4C22×C22⋊D8312yes—
1708C2×C4#1458183712yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—416no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—3321no—
1746C22—3321no—
1747C22—3321no—
1748C22—3321no—
1749C22—3321no—
1750C22—3321no—
1751C22—3321no—
1752C22—3321no—
1753C22—3321no—
1754C22—3321no—
1755C22—3321no—
1756C22—3321no—
1757C22—3321no—
1758C22—3321no—
1759C22—3321no—
1760C22—3321no—
1761C22—3321no—
1762C22—3321no—
1763C22—3321no—
1764C22—3321no—
1765C22—3321no—
1766C22C23×C22⋊D8311yescharacteristic
1767C22C2×#1458183711yescharacteristic
1768C22C2×#1458183711yescharacteristic
1769C22C2×#1458183811yescharacteristic
1770C22#1912853711yescharacteristic
1771C22#1912853711yescharacteristic
1772C22#1912853711yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—3321no—
1784C4—3321no—
1785C4—3321no—
1786C4—3321no—
1787C4—3321no—
1788C4—3321no—
1789C4—3321no—
1790C4—3321no—
1791C4—3321no—
1792C4—3321no—
1793C4—3321no—
1794C4—3321no—
1795C4—3321no—
1796C2—42no—
1797C2—42no—
1798C2—42no—
1799C2—42no—
1800C2—81no—
1801C2—6641no—
1802C2—6641no—
1803C2—6641no—
1804C2#2492079211yescharacteristic
1805C2#2492109811yescharacteristic
1806C2#2492113211yescharacteristic
1807C2#2492162711yescharacteristic
1808C2#2492164711yescharacteristic
1809C2#2492171911yescharacteristic
1810C2#2492177111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC2×#525×C83C2
hypercenterC2×#525D83
hypocenterC83#36713
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#19128302C2semidirect
2. #24915755C2semidirect
3. #24915745C2semidirect
4. #24913979C2semidirect
5. #24913968C2semidirect
6. #24913925C2semidirect
7. #24913895C2semidirect
8. #24913880C2semidirect
9. #24913784C2semidirect
10. #24913760C2semidirect
11. #24913753C2semidirect
12. #24913729C2semidirect
13. #24913725C2semidirect
14. #24913710C2semidirect
15. #24913699C2semidirect
16. #24913694C2semidirect
17. #24913680C2semidirect
18. #24913677C2semidirect
19. #24913667C2semidirect
20. #24913347C2semidirect
21. #24913300C2semidirect
22. #24913135C2semidirect
23. #24913075C2semidirect
24. #24913029C2semidirect
25. #24913023C2semidirect
26. #24912419C2semidirect
27. #24912360C2semidirect
28. #24911078C2semidirect
29. #24911067C2semidirect
30. #24910096C2semidirect
31. C2×#525×C83C2semidirect
35. C2×#14581783C22semidirect
36. C2×#14581781C22semidirect
39. C2×#14581775C22semidirect
41. C2×#14581774C22semidirect
42. C2×#14581767C22semidirect
46. C2×#14581766C22semidirect
48. C2×#14581765C22semidirect
52. C2×#14581764C22semidirect
59. C2×C4×D332C22semidirect
60. C2×#14581749C22semidirect
61. #19127640C22semidirect
62. #19127640C22semidirect
63. #19127639C22semidirect
65. #19127637C22semidirect
66. #19127636C22semidirect
67. #19127634C22semidirect
68. #19127634C22semidirect
69. #19127631C22semidirect
71. #19127629C22semidirect
74. #19127626C22semidirect
76. #19127624C22semidirect
77. #19127623C22semidirect
78. #19127623C22semidirect
79. #19127620C22semidirect
80. #19127618C22semidirect
81. #19127618C22semidirect
82. #19127618C22semidirect
84. #19127617C22semidirect
88. #19127616C22semidirect
93. #19127612C22semidirect
97. #19127610C22semidirect
98. #19127610C22semidirect
107. #19127609C22semidirect
108. #19127609C22semidirect
109. #19127608C22semidirect
112. #19127596C22semidirect
116. #19127592C22semidirect
117. #19127592C22semidirect
118. #19127592C22semidirect
119. #19127591C22semidirect
122. #19127589C22semidirect
123. #19127587C22semidirect
124. #19127587C22semidirect
125. #19127585C22semidirect
126. #19127582C22semidirect
130. #19127581C22semidirect
141. #19127580C22semidirect
142. #19127580C22semidirect
143. #19127580C22semidirect
144. #19127578C22semidirect
145. #19127578C22semidirect
150. #19127577C22semidirect
151. #19127576C22semidirect
152. #19127576C22semidirect
157. #19127574C22semidirect
158. #19127572C22semidirect
159. #19127572C22semidirect
160. #19127572C22semidirect
161. #19127569C22semidirect
162. #19127567C22semidirect
168. #19127558C22semidirect
169. #19127558C22semidirect
171. C4×C22⋊Dic83C22semidirect
172. C2×C83⋊#95C22semidirect
371. C4×D4×C83D4semidirect
907. C2×#525D83semidirect
937. C83#36713semidirect
1179. C4×D4C22⋊D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283022
#249157552
#249157452
#249139792
#249139682
#249139252
#249138952
#249138802
#249137842
#249137602
#249137532
#249137292
#249137252
#249137102
#249136992
#249136942
#249136802
#249136772
#249136672
#249133472
#249133002
#249131352
#249130752
#249130292
#249130232
#249124192
#249123602
#249110782
#249110672
#249100962
C2×#525×C832
#3671383