Finite Group Databasebeta

← #35611932

Subgroups — #35611932

Order 21248.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128319C211yesmaximal, characteristic, complemented
2C2×#19128284C211yesmaximal, characteristic, complemented
3#24915790C211yesmaximal, characteristic, complemented
4#24915761C211yesmaximal, characteristic, complemented
5#24914386C211yesmaximal, characteristic, complemented
6#24914293C211yesmaximal, characteristic, complemented
7#24914277C211yesmaximal, characteristic, complemented
8#24914235C211yesmaximal, characteristic, complemented
9#24914067C211yesmaximal, characteristic, complemented
10#24914043C211yesmaximal, characteristic, complemented
11#24914017C211yesmaximal, characteristic, complemented
12#24913948C211yesmaximal, characteristic, complemented
13#24913905C211yesmaximal, characteristic, complemented
14#24913875C211yesmaximal, characteristic, complemented
15#24913856C211yesmaximal, characteristic, complemented
16#24913845C211yesmaximal, characteristic, complemented
17#24913768C211yesmaximal, characteristic, complemented
18#24913748C211yesmaximal, characteristic, complemented
19#24913688C211yesmaximal, characteristic, complemented
20#24913670C211yesmaximal, characteristic, complemented
21#24913617C211yesmaximal, characteristic, complemented
22#24913593C211yesmaximal, characteristic, complemented
23#24913147C211yesmaximal, characteristic, complemented
24#24913097C211yesmaximal, characteristic, complemented
25#24913065C211yesmaximal, characteristic, complemented
26#24912949C211yesmaximal, characteristic, complemented
27#24912616C211yesmaximal, characteristic, complemented
28#24910892C211yesmaximal, characteristic, complemented
29#24910849C211yesmaximal, characteristic, complemented
30#24909909C211yesmaximal, characteristic, complemented
31C83×#2602C211yesmaximal, characteristic, complemented
32#19128319—28no—
33#19128284—28no—
34C2×#14581791C2211yescharacteristic, complemented
35C2×#14581787C2211yescharacteristic
36C2×#14581787C2211yescharacteristic, complemented
37C2×#14581786C2211yescharacteristic
38C2×#14581785C2211yescharacteristic
39C2×#14581780C2211yescharacteristic
40C2×#14581779C2211yescharacteristic
41C2×#14581778C2211yescharacteristic
42C2×#14581778C2211yescharacteristic
43C2×#14581778C2211yescharacteristic
44C2×#14581778C2211yescharacteristic, complemented
45C2×#14581777C2211yescharacteristic
46C2×#14581775C2211yescharacteristic
47C2×#14581774C2211yescharacteristic, complemented
48C2×#14581771C2211yescharacteristic
49C2×#14581771C2211yescharacteristic, complemented
50C2×#14581770C2211yescharacteristic, complemented
51C2×#14581769C2211yescharacteristic
52C2×#14581769C2211yescharacteristic, complemented
53C2×#14581766C2211yescharacteristic
54C2×#14581765C2211yescharacteristic
55C2×#14581765C2211yescharacteristic
56C2×#14581764C2211yescharacteristic
57C2×#14581764C2211yescharacteristic
58C2×#14581762C2211yescharacteristic
59C2×#14581760C2211yescharacteristic
60C2×#14581760C2211yescharacteristic
61C2×#14581757C2211yescharacteristic, complemented
62C2×C4×C22⋊D83C2211yescharacteristic
63C2×#14581751C2211yescharacteristic
64C2×#14581748C2211yescharacteristic, complemented
65C22×(C2×D83)⋊C4C2211yescharacteristic
66C2×C42×D83C2211yescharacteristic, complemented
67#19127642C2211yescharacteristic, complemented
68#19127642C2211yescharacteristic, complemented
69#19127636C2211yescharacteristic
70#19127636C2211yescharacteristic
71#19127635C2211yescharacteristic, complemented
72#19127634C2211yescharacteristic, complemented
73#19127630C2211yescharacteristic
74#19127630C2211yescharacteristic, complemented
75#19127629C2211yescharacteristic
76#19127629C2211yescharacteristic
77#19127629C2211yescharacteristic, complemented
78#19127629C2211yescharacteristic, complemented
79#19127628C2211yescharacteristic
80#19127628C2211yescharacteristic
81#19127627C2211yescharacteristic, complemented
82#19127625C2211yescharacteristic
83#19127624C2211yescharacteristic, complemented
84#19127623C2211yescharacteristic
85#19127623C2211yescharacteristic
86#19127621C2211yescharacteristic, complemented
87#19127621C2211yescharacteristic, complemented
88#19127621C2211yescharacteristic, complemented
89#19127619C2211yescharacteristic
90#19127618C2211yescharacteristic
91#19127618C2211yescharacteristic
92#19127617C2211yescharacteristic
93#19127617C2211yescharacteristic
94#19127617C2211yescharacteristic
95#19127616C2211yescharacteristic
96#19127616C2211yescharacteristic
97#19127616C2211yescharacteristic, complemented
98#19127615C2211yescharacteristic
99#19127615C2211yescharacteristic
100#19127614C2211yescharacteristic
101#19127614C2211yescharacteristic
102#19127614C2211yescharacteristic
103#19127614C2211yescharacteristic
104#19127614C2211yescharacteristic
105#19127613C2211yescharacteristic, complemented
106#19127613C2211yescharacteristic, complemented
107#19127610C2211yescharacteristic
108#19127609C2211yescharacteristic
109#19127609C2211yescharacteristic
110#19127609C2211yescharacteristic, complemented
111#19127607C2211yescharacteristic, complemented
112#19127605C2211yescharacteristic, complemented
113#19127605C2211yescharacteristic, complemented
114#19127605C2211yescharacteristic, complemented
115#19127601C2211yescharacteristic
116#19127601C2211yescharacteristic
117#19127601C2211yescharacteristic
118#19127601C2211yescharacteristic
119#19127601C2211yescharacteristic
120#19127601C2211yescharacteristic
121#19127599C2211yescharacteristic, complemented
122#19127598C2211yescharacteristic, complemented
123#19127596C2211yescharacteristic, complemented
124#19127596C2211yescharacteristic, complemented
125#19127595C2211yescharacteristic
126#19127595C2211yescharacteristic
127#19127595C2211yescharacteristic, complemented
128#19127595C2211yescharacteristic, complemented
129#19127595C2211yescharacteristic, complemented
130#19127593C2211yescharacteristic
131#19127592C2211yescharacteristic
132#19127592C2211yescharacteristic
133#19127592C2211yescharacteristic
134#19127592C2211yescharacteristic
135#19127591C2211yescharacteristic
136#19127591C2211yescharacteristic
137#19127591C2211yescharacteristic
138#19127591C2211yescharacteristic
139#19127590C2211yescharacteristic
140#19127590C2211yescharacteristic
141#19127589C2211yescharacteristic, complemented
142#19127588C2211yescharacteristic, complemented
143#19127588C2211yescharacteristic, complemented
144#19127588C2211yescharacteristic, complemented
145#19127587C2211yescharacteristic, complemented
146#19127583C2211yescharacteristic, complemented
147#19127581C2211yescharacteristic
148#19127581C2211yescharacteristic, complemented
149#19127579C2211yescharacteristic
150#19127579C2211yescharacteristic
151#19127579C2211yescharacteristic
152#19127578C2211yescharacteristic
153#19127578C2211yescharacteristic
154#19127577C2211yescharacteristic
155#19127577C2211yescharacteristic
156#19127577C2211yescharacteristic, complemented
157#19127577C2211yescharacteristic, complemented
158#19127577C2211yescharacteristic, complemented
159#19127575C2211yescharacteristic, complemented
160#19127575C2211yescharacteristic, complemented
161#19127573C2211yescharacteristic
162#19127573C2211yescharacteristic, complemented
163#19127565C2211yescharacteristic, complemented
164#19127562C2211yescharacteristic
165#19127562C2211yescharacteristic
166#19127561C2211yescharacteristic, complemented
167#19127560C2211yescharacteristic, complemented
168#19127556C2211yescharacteristic
169#19127556C2211yescharacteristic
170#19127556C2211yescharacteristic
171C4×Dic83⋊C4C2211yescharacteristic, complemented
172C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
173#19127547C2211yescharacteristic, complemented
174C2×#123×C83C2211yescharacteristic
175C2×C4×D4×C83C2211yescharacteristic
176#397×C83C2211yescharacteristic
177#394×C83C2211yescharacteristic
178#394×C83C2211yescharacteristic
179#392×C83C2211yescharacteristic
180#390×C83C2211yescharacteristic, complemented
181#389×C83C2211yescharacteristic, complemented
182#388×C83C2211yescharacteristic, complemented
183#388×C83C2211yescharacteristic, complemented
184#388×C83C2211yescharacteristic, complemented
185#387×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic, complemented
187#385×C83C2211yescharacteristic, complemented
188C4×C22⋊C4×C83C2211yescharacteristic
189C24×D83C2311yescharacteristic
190C22×Dic166C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
192C22×Dic166C2311yescharacteristic
193C22×Dic166C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208#14581791—24no—
209#14581787—24no—
210#14581787—24no—
211#14581786—24no—
212#14581785—24no—
213#14581780—24no—
214#14581779—24no—
215#14581778—24no—
216#14581778—24no—
217#14581778—24no—
218#14581778—42no—
219#14581777—24no—
220#14581775—24no—
221#14581774—24no—
222#14581771—24no—
223#14581771—42no—
224#14581770—24no—
225#14581769—24no—
226#14581769—24no—
227#14581766—24no—
228#14581765—24no—
229#14581765—42no—
230#14581764—24no—
231#14581764—24no—
232#14581762—24no—
233#14581760—24no—
234#14581760—42no—
235#14581757—24no—
236C4×C22⋊D83D418yescomplemented
237#14581751—42no—
238#14581748—24no—
239C2×C4⋊Dic83C2311yescharacteristic
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
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×(C2×D83)⋊C4—24no—
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
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×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C2×C4×Dic83C2311yescharacteristic
309C2×C4×Dic83C2311yescharacteristic
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C42×D83—42no—
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
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C22×D4×C83C2311yescharacteristic
343C22×D4×C83C2311yescharacteristic
344C22×D4×C83C2311yescharacteristic
345C23×C4×C83C2311yescharacteristic
346C23×C4×C83C2311yescharacteristic
347#123×C83—24no—
348C4×D4×C83—24no—
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C4⋊C4×C83C2311yescharacteristic
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C42×C83C2311yescharacteristic
369C2×C42×C83C2311yescharacteristic
370C2×C42×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376#95×C83C2311yescharacteristic
377#95×C83C2311yescharacteristic
378#95×C83C2311yescharacteristic
379C23×D83—22no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83—41no—
383C23×D83—41no—
384C23×D83—41no—
385C23×D83—41no—
386C23×D83C2411yescharacteristic
387C23×D83C2411yescharacteristic
388C23×D83C2411yescharacteristic
389C2×Dic166—22no—
390C2×Dic166—22no—
391C2×Dic166—22no—
392C2×Dic166—22no—
393C2×Dic166—41no—
394C2×Dic166—41no—
395C2×Dic166—41no—
396C2×Dic166—41no—
397C2×Dic166—41no—
398C2×Dic166—41no—
399C2×Dic166—41no—
400C2×Dic166—41no—
401C2×D332—22no—
402C2×D332—22no—
403C2×D332—41no—
404C2×D332—41no—
405C2×D332—41no—
406C2×D332—41no—
407C2×C22⋊D83—22no—
408C2×C22⋊D83—22no—
409C2×C22⋊D83—22no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—41no—
413C2×C22⋊D83—41no—
414C2×C22⋊D83—41no—
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⋊D83C2×D414yes—
428C22×Dic83—22no—
429C22×Dic83—22no—
430C22×Dic83—41no—
431C22×Dic83—41no—
432C22×Dic83—41no—
433C22×Dic83—41no—
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C2×C4×D83—22no—
448C2×C4×D83—41no—
449C2×C4×D83—41no—
450C2×C4×D83—41no—
451C2×C4×D83—41no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83—41no—
455C2×C4×D83C2×D414yes—
456C4⋊Dic83—22no—
457C4⋊Dic83—22no—
458C4⋊Dic83—22no—
459C4⋊Dic83—22no—
460C4⋊Dic83—41no—
461Dic83⋊C4—22no—
462Dic83⋊C4—22no—
463Dic83⋊C4—22no—
464Dic83⋊C4—22no—
465Dic83⋊C4—22no—
466Dic83⋊C4—22no—
467Dic83⋊C4—22no—
468Dic83⋊C4—22no—
469Dic83⋊C4—22no—
470Dic83⋊C4—41no—
471Dic83⋊C4—41no—
472Dic83⋊C4—41no—
473Dic83⋊C4—41no—
474Dic83⋊C4—41no—
475Dic83⋊C4—41no—
476Dic83⋊C4—41no—
477Dic83⋊C4C2×D414yes—
478C22⋊Dic83—22no—
479C22⋊Dic83—22no—
480C22⋊Dic83—22no—
481C22⋊Dic83—22no—
482C22⋊Dic83—22no—
483C22⋊Dic83—22no—
484C22⋊Dic83—22no—
485C22⋊Dic83—41no—
486C22⋊Dic83—41no—
487C22⋊Dic83—41no—
488C22⋊Dic83—41no—
489C22⋊Dic83—41no—
490C22⋊Dic83—41no—
491C22⋊Dic83C2×D414yes—
492(C2×D83)⋊C4—22no—
493(C2×D83)⋊C4—22no—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—22no—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—22no—
498(C2×D83)⋊C4—22no—
499(C2×D83)⋊C4—22no—
500(C2×D83)⋊C4—22no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—22no—
503(C2×D83)⋊C4—22no—
504(C2×D83)⋊C4—22no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
511(C2×D83)⋊C4—41no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4—41no—
515(C2×D83)⋊C4—41no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4C2×D414yes—
521C4×Dic83—22no—
522C4×Dic83—22no—
523C4×Dic83—22no—
524C4×Dic83—22no—
525C4×Dic83—22no—
526C4×Dic83—41no—
527C4×Dic83—41no—
528C4×Dic83C2×D414yes—
529C24×C83C2411yescharacteristic
530C24×C83C2411yescharacteristic
531C24×C83C2411yescharacteristic
532C2×D4×C83—22no—
533C2×D4×C83—22no—
534C2×D4×C83—41no—
535C2×D4×C83—41no—
536C2×D4×C83—41no—
537C2×D4×C83—41no—
538C2×D4×C83—41no—
539C2×D4×C83—41no—
540C2×D4×C83—41no—
541C22×C4×C83—22no—
542C22×C4×C83—41no—
543C22×C4×C83—41no—
544C22×C4×C83—41no—
545C22×C4×C83—41no—
546C22×C4×C83C2×D414yes—
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C4⋊C4×C83—22no—
560C4⋊C4×C83—22no—
561C4⋊C4×C83—22no—
562C4⋊C4×C83—41no—
563C4⋊C4×C83—41no—
564C4⋊C4×C83—41no—
565C22⋊C4×C83—22no—
566C22⋊C4×C83—22no—
567C22⋊C4×C83—22no—
568C22⋊C4×C83—22no—
569C22⋊C4×C83—22no—
570C22⋊C4×C83—41no—
571C22⋊C4×C83—41no—
572C22⋊C4×C83—41no—
573C22⋊C4×C83—41no—
574C22⋊C4×C83—41no—
575C22⋊C4×C83—41no—
576C22⋊C4×C83—41no—
577C22⋊C4×C83—41no—
578C42×C83—22no—
579C42×C83—41no—
580C42×C83—41no—
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—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83—21no—
600C23×C83—21no—
601C23×C83C22×D412yes—
602C23×C83C2511yescharacteristic
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—21no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
623C22×D83—44no—
624C22×D83—82no—
625C22×D83—82no—
626C22×D83—82no—
627C22×D83—82no—
628C22×D83—82no—
629C22×D83—82no—
630C22×D83C22×D412yes—
631D4×C83—44no—
632D4×C83—82no—
633D4×C83—82no—
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—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—44no—
669C2×C4×C83—82no—
670C2×C4×C83C22×D412yes—
671C2×C4×C83C22×D412yes—
672C22⋊D83—44no—
673C22⋊D83—82no—
674C22⋊D83—82no—
675C22⋊D83—82no—
676C22⋊D83—82no—
677C22⋊D83—82no—
678C22⋊D83—82no—
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—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—44no—
715C2×Dic83—82no—
716C2×Dic83C22×D412yes—
717C2×Dic83C22×D412yes—
718C2×Dic83C22×D412yes—
719C2×Dic83H(5,𝔽2)12yes—
720D332—82no—
721D332—82no—
722C4×D83—44no—
723C4×D83—44no—
724C4×D83—44no—
725Dic166—44no—
726Dic166—82no—
727Dic166—82no—
728Dic166—82no—
729C22×C83—22no—
730C22×C83—22no—
731C22×C83—22no—
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—41no—
741C22×C83—41no—
742C22×C83—41no—
743C22×C83—41no—
744C22×C83—41no—
745C22×C83—41no—
746C22×C83—41no—
747C22×C83—41no—
748C22×C83—41no—
749C22×C83—41no—
750C22×C83C23×D411yescharacteristic
751C22×C83C2×H(5,𝔽2)11yescharacteristic
752C22×C83#58511yescharacteristic
753C22×C83#58511yescharacteristic
754C22×C83#58511yescharacteristic
755C22×C83#58511yescharacteristic
756C22×C83#58511yescharacteristic
757C2×D83—22no—
758C2×D83—22no—
759C2×D83—22no—
760C2×D83—41no—
761C2×D83—41no—
762C2×D83—41no—
763C2×D83—41no—
764C2×D83—41no—
765C2×D83—41no—
766C2×D83—41no—
767C2×D83—41no—
768C2×D83—41no—
769C2×D83—41no—
770C2×D83—41no—
771C2×D83—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—41no—
777C2×D83—41no—
778C2×D83—88no—
779C4×C83—22no—
780C4×C83—22no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788C4×C83—41no—
789C4×C83—41no—
790C4×C83—41no—
791Dic83—22no—
792Dic83—22no—
793Dic83—22no—
794Dic83—22no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800Dic83—41no—
801Dic83—41no—
802Dic83—41no—
803Dic83—41no—
804#36745—831nomaximal, Sylow
805C2×C83—42no—
806C2×C83—81no—
807C2×C83—81no—
808C2×C83#344911yescharacteristic
809C2×C83#349611yescharacteristic
810C2×C83#350011yescharacteristic
811C2×C83#353311yescharacteristic
812C2×C83#354011yescharacteristic
813C2×C83#356611yescharacteristic
814C2×C83#356811yescharacteristic
815D83—42no—
816D83—81no—
817D83—81no—
818C2×#542—831no—
819C2×#538—831no—
820#2854—831no—
821#2850—831no—
822#2723—831no—
823#2716—831no—
824#2715—831no—
825#2712—831no—
826#2700—831no—
827#2698—831no—
828#2696—831no—
829#2691—831no—
830#2688—831no—
831#2686—831no—
832#2685—831no—
833#2684—831no—
834#2676—831no—
835#2674—831no—
836#2670—831no—
837#2668—831no—
838#2663—831no—
839#2661—831no—
840#2610—831no—
841#2604—831no—
842#2602D8311yescharacteristic, complemented
843#2601—831no—
844#2592—831no—
845#2561—831no—
846#2415—831no—
847#2411—831no—
848#2290—831no—
849C83#3674511yescharacteristic, complemented, Sylow
850#542—1668no—
851#538—1668no—
852C2×C4⋊Q8—831no—
853C2×#126—831no—
854C2×#126—831no—
855C2×#126—831no—
856C2×#126—831no—
857C2×#124—831no—
858C2×#124—831no—
859C2×#124—831no—
860C2×#124—831no—
861C2×#124—831no—
862C2×#124—831no—
863C2×#123—831no—
864C2×#123—831no—
865C2×#123—831no—
866C2×#123C2×D8311yescharacteristic
867C2×C22⋊Q8—831no—
868C2×C22⋊Q8—831no—
869C2×C22⋊Q8—831no—
870C2×C22⋊Q8—831no—
871C2×C22⋊Q8—831no—
872C2×#121—831no—
873C2×#121—831no—
874C2×#121—831no—
875C2×#121—831no—
876C2×#121—831no—
877C2×#120—831no—
878C2×#120—831no—
879C2×#120—831no—
880C2×C4×Q8—831no—
881C2×C4×D4—831no—
882C2×C4×D4C2×D8311yescharacteristic
883C2×#117—831no—
884C2×#117—831no—
885C22×C22⋊C4—831no—
886C22×C42—831no—
887#400—831no—
888#400—831no—
889#399—831no—
890#399—831no—
891#398—831no—
892#398—831no—
893#397—831no—
894#397—831no—
895#397—831no—
896#397—831no—
897#397—831no—
898#397—831no—
899#397—831no—
900#397—831no—
901#397—831no—
902#397C2×D8311yescharacteristic
903#396—831no—
904#396—831no—
905#396—831no—
906#396—831no—
907#395—831no—
908#395—831no—
909#395—831no—
910#394—831no—
911#394—831no—
912#394—831no—
913#394—831no—
914#394—831no—
915#394—831no—
916#394—831no—
917#394—831no—
918#394—831no—
919#394—831no—
920#394—831no—
921#394C2×D8311yescharacteristic
922#394C2×D8311yescharacteristic
923#393—831no—
924#393—831no—
925#393—831no—
926#393—831no—
927#393—831no—
928#393—831no—
929#393—831no—
930#392—831no—
931#392—831no—
932#392—831no—
933#392—831no—
934#392C2×D8311yescharacteristic
935#391—831no—
936#391—831no—
937#391—831no—
938#391—831no—
939#390—831no—
940#390—831no—
941#390—831no—
942#390—831no—
943#390—831no—
944#390—831no—
945#390C2×D8311yescharacteristic, complemented
946#389—831no—
947#389—831no—
948#389—831no—
949#389—831no—
950#389C2×D8311yescharacteristic, complemented
951#388—831no—
952#388—831no—
953#388—831no—
954#388—831no—
955#388—831no—
956#388—831no—
957#388—831no—
958#388—831no—
959#388—831no—
960#388—831no—
961#388—831no—
962#388—831no—
963#388—831no—
964#388—831no—
965#388—831no—
966#388—831no—
967#388—831no—
968#388C2×D8311yescharacteristic, complemented
969#388C2×D8311yescharacteristic, complemented
970#388C2×D8311yescharacteristic, complemented
971#387—831no—
972#387—831no—
973#387—831no—
974#387—831no—
975#387—831no—
976#387C2×D8311yescharacteristic, complemented
977#386—831no—
978#386—831no—
979#386—831no—
980#386—831no—
981#386—831no—
982#386—831no—
983#386—831no—
984#386—831no—
985#386—831no—
986#386—831no—
987#386—831no—
988#386—831no—
989#386C2×D8311yescharacteristic, complemented
990#385—831no—
991#385—831no—
992#385—831no—
993#385—831no—
994#385C2×D8311yescharacteristic, complemented
995#382—831no—
996#381—831no—
997#381—831no—
998#380—831no—
999#380—831no—
1000#379—831no—
1001#379—831no—
1002#379—831no—
1003C4×C4⋊C4—831no—
1004C4×C22⋊C4—831no—
1005C4×C22⋊C4C2×D8311yescharacteristic
1006#376—831no—
1007C25—831no—
1008C22×Q8—831no—
1009C22×Q8—831no—
1010C22×Q8—831no—
1011C22×Q8—831no—
1012C22×D4—831no—
1013C22×D4—831no—
1014C22×D4—831no—
1015C22×D4—831no—
1016C22×D4—831no—
1017C22×D4—831no—
1018C22×D4—831no—
1019C22×D4—831no—
1020C22×D4—831no—
1021C22×D4C22×D8311yescharacteristic
1022C22×D4C22×D8311yescharacteristic
1023C22×D4C22×D8311yescharacteristic
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—831no—
1029C23×C4C22×D8311yescharacteristic
1030C23×C4C22×D8311yescharacteristic
1031C4⋊Q8—1664no—
1032#126—1664no—
1033#126—1664no—
1034#126—1664no—
1035#126—1664no—
1036#124—3322no—
1037#124—1664no—
1038#124—1664no—
1039#124—1664no—
1040#124—1664no—
1041#124—1664no—
1042#123—24no—
1043#123—1664no—
1044#123—1664no—
1045#123—1664no—
1046C22⋊Q8—3322no—
1047C22⋊Q8—1664no—
1048C22⋊Q8—1664no—
1049C22⋊Q8—1664no—
1050C22⋊Q8—1664no—
1051#121—3322no—
1052#121—1664no—
1053#121—1664no—
1054#121—1664no—
1055#121—1664no—
1056#120—3322no—
1057#120—1664no—
1058#120—1664no—
1059C4×Q8—1664no—
1060C4×D4—24no—
1061C4×D4—838no—
1062#117—3322no—
1063#117—1664no—
1064C2×C4⋊C4—831no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—831no—
1071C2×C4⋊C4—831no—
1072C2×C4⋊C4—831no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4—831no—
1075C2×C4⋊C4—831no—
1076C2×C4⋊C4—831no—
1077C2×C4⋊C4—831no—
1078C2×C4⋊C4—831no—
1079C2×C4⋊C4—831no—
1080C2×C4⋊C4—831no—
1081C2×C4⋊C4—831no—
1082C2×C4⋊C4—831no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4C22×D8311yescharacteristic
1087C2×C4⋊C4C22×D8311yescharacteristic
1088C2×C4⋊C4C22×D8311yescharacteristic
1089C2×C4⋊C4C22×D8311yescharacteristic
1090C2×C4⋊C4C22×D8311yescharacteristic
1091C2×C4⋊C4C22×D8311yescharacteristic
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—1664no—
1136C2×C22⋊C4C22×D8311yescharacteristic
1137C2×C22⋊C4C22×D8311yescharacteristic
1138C2×C22⋊C4C22×D8311yescharacteristic
1139C2×C22⋊C4C22×D8311yescharacteristic
1140C2×C22⋊C4C22×D8311yescharacteristic
1141C2×C22⋊C4C22×D8311yescharacteristic
1142C2×C22⋊C4C22×D8311yescharacteristic
1143C2×C22⋊C4C22×D8311yescharacteristic
1144C2×C22⋊C4C22×D8311yescharacteristic
1145C2×C22⋊C4C22×D8311yescharacteristic
1146C2×C22⋊C4C22×D8311yescharacteristic
1147C2×C22⋊C4C22×D8311yescharacteristic
1148C2×C22⋊C4C22×D8311yescharacteristic
1149C2×C42—3322no—
1150C2×C42—831no—
1151C2×C42—831no—
1152C2×C42—831no—
1153C2×C42—831no—
1154C2×C42—831no—
1155C2×C42—831no—
1156C2×C42—831no—
1157C2×C42—831no—
1158C2×C42C22×D8311yescharacteristic
1159C2×C42C22×D8311yescharacteristic
1160C2×C42C22×D8311yescharacteristic
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95C22×D8311yescharacteristic
1190#95C22×D8311yescharacteristic
1191#95C22×D8311yescharacteristic
1192#95C22×D8311yescharacteristic
1193#95C22×D8311yescharacteristic
1194#95C22×D8311yescharacteristic
1195#95C22×D8311yescharacteristic
1196#95C22×D8311yescharacteristic
1197C24—3321no—
1198C24—3321no—
1199C24—3321no—
1200C24—3321no—
1201C24—3321no—
1202C24—3321no—
1203C24—831no—
1204C24—831no—
1205C24—831no—
1206C24—1662no—
1207C24C23×D8311yescharacteristic
1208C24C23×D8311yescharacteristic
1209C24C23×D8311yescharacteristic
1210C2×Q8—3321no—
1211C2×Q8—3321no—
1212C2×Q8—3321no—
1213C2×Q8—3321no—
1214C2×Q8—3321no—
1215C2×Q8—3321no—
1216C2×Q8—3321no—
1217C2×Q8—3321no—
1218C2×Q8—1662no—
1219C2×Q8—1662no—
1220C2×Q8—1662no—
1221C2×Q8—1662no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—3321no—
1232C2×D4—3321no—
1233C2×D4—3321no—
1234C2×D4—3321no—
1235C2×D4—3321no—
1236C2×D4—3321no—
1237C2×D4—3321no—
1238C2×D4—3321no—
1239C2×D4—3321no—
1240C2×D4—3321no—
1241C2×D4—3321no—
1242C2×D4—3321no—
1243C2×D4—3321no—
1244C2×D4—3321no—
1245C2×D4—3321no—
1246C2×D4—3321no—
1247C2×D4—3321no—
1248C2×D4—3321no—
1249C2×D4—3321no—
1250C2×D4—834no—
1251C2×D4—1662no—
1252C2×D4—1662no—
1253C2×D4—1662no—
1254C2×D4—1662no—
1255C2×D4—1662no—
1256C2×D4—1662no—
1257C2×D4—1662no—
1258C22×C4—22no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—3321no—
1264C22×C4—3321no—
1265C22×C4—3321no—
1266C22×C4—3321no—
1267C22×C4—3321no—
1268C22×C4—3321no—
1269C22×C4—3321no—
1270C22×C4—3321no—
1271C22×C4—3321no—
1272C22×C4—3321no—
1273C22×C4—3321no—
1274C22×C4—834no—
1275C22×C4—831no—
1276C22×C4—831no—
1277C22×C4—831no—
1278C22×C4—831no—
1279C22×C4—831no—
1280C22×C4—831no—
1281C22×C4—831no—
1282C22×C4—831no—
1283C22×C4—831no—
1284C22×C4—831no—
1285C22×C4—831no—
1286C22×C4—831no—
1287C22×C4—831no—
1288C22×C4—1662no—
1289C22×C4—1662no—
1290C22×C4—1662no—
1291C22×C4D4×D8314yes—
1292C22×C4C23×D8311yescharacteristic
1293C22×C4C23×D8311yescharacteristic
1294C22×C4C23×D8311yescharacteristic
1295C22×C4C23×D8311yescharacteristic
1296C22×C4C23×D8311yescharacteristic
1297C22×C4C23×D8311yescharacteristic
1298C22×C4C23×D8311yescharacteristic
1299C22×C4C23×D8311yescharacteristic
1300C22×C4C23×D8311yescharacteristic
1301C22×C4C23×D8311yescharacteristic
1302C22×C4C23×D8311yescharacteristic
1303C22×C4C23×D8311yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—3321no—
1311C4⋊C4—3321no—
1312C4⋊C4—3321no—
1313C4⋊C4—3321no—
1314C4⋊C4—3321no—
1315C4⋊C4—3321no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—834no—
1319C4⋊C4—1662no—
1320C4⋊C4—1662no—
1321C4⋊C4—1662no—
1322C4⋊C4—1662no—
1323C4⋊C4—1662no—
1324C4⋊C4—1662no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C4⋊C4—1662no—
1328C4⋊C4—1662no—
1329C4⋊C4—1662no—
1330C4⋊C4—1662no—
1331C4⋊C4—1662no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—3321no—
1346C22⋊C4—3321no—
1347C22⋊C4—3321no—
1348C22⋊C4—3321no—
1349C22⋊C4—3321no—
1350C22⋊C4—3321no—
1351C22⋊C4—3321no—
1352C22⋊C4—3321no—
1353C22⋊C4—3321no—
1354C22⋊C4—3321no—
1355C22⋊C4—3321no—
1356C22⋊C4—3321no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—3321no—
1363C22⋊C4—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—3321no—
1366C22⋊C4—834no—
1367C22⋊C4—834no—
1368C22⋊C4—1662no—
1369C22⋊C4—1662no—
1370C22⋊C4—1662no—
1371C22⋊C4—1662no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4—1662no—
1375C22⋊C4—1662no—
1376C22⋊C4—1662no—
1377C22⋊C4—1662no—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C22⋊C4—1662no—
1382C22⋊C4—1662no—
1383C22⋊C4—1662no—
1384C22⋊C4—1662no—
1385C22⋊C4—1662no—
1386C22⋊C4—1662no—
1387C22⋊C4—1662no—
1388C42—22no—
1389C42—41no—
1390C42—41no—
1391C42—3321no—
1392C42—3321no—
1393C42—834no—
1394C42—1662no—
1395C42—1662no—
1396C42—1662no—
1397C42—1662no—
1398C42—1662no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
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—21no—
1418C23—21no—
1419C23—3324no—
1420C23—832no—
1421C23—6642no—
1422C23—6642no—
1423C23—6642no—
1424C23—6642no—
1425C23—6642no—
1426C23—6642no—
1427C23—1661no—
1428C23—1661no—
1429C23—1661no—
1430C23—1661no—
1431C23—1661no—
1432C23—1661no—
1433C23—1661no—
1434C23—1661no—
1435C23—1661no—
1436C23—1661no—
1437C23—1661no—
1438C23—1661no—
1439C23—1661no—
1440C23—1661no—
1441C23—1661no—
1442C23—1661no—
1443C23—1661no—
1444C23—1661no—
1445C23—1661no—
1446C23—1661no—
1447C23C2×D4×D8312yes—
1448C23C24×D8311yescharacteristic
1449Q8—3324no—
1450Q8—6642no—
1451Q8—6642no—
1452Q8—6642no—
1453D4—44no—
1454D4—82no—
1455D4—82no—
1456D4—3324no—
1457D4—6642no—
1458D4—6642no—
1459D4—6642no—
1460D4—6642no—
1461D4—6642no—
1462D4—6642no—
1463D4—6642no—
1464D4—6642no—
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—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—44no—
1500C2×C4—82no—
1501C2×C4—3324no—
1502C2×C4—3324no—
1503C2×C4—3324no—
1504C2×C4—3324no—
1505C2×C4—832no—
1506C2×C4—832no—
1507C2×C4—832no—
1508C2×C4—832no—
1509C2×C4—6642no—
1510C2×C4—1661no—
1511C2×C4—1661no—
1512C2×C4—1661no—
1513C2×C4—1661no—
1514C2×C4—1661no—
1515C2×C4—1661no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1661no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1661no—
1537C2×C4—1661no—
1538C2×C4—1661no—
1539C2×C4—1661no—
1540C2×C4—1661no—
1541C2×C4—1661no—
1542C2×C4—1661no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4C2×D4×D8312yes—
1546C2×C4C2×D4×D8312yes—
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—3321no—
1569C22—3321no—
1570C22—3321no—
1571C22—3321no—
1572C22—3321no—
1573C22—3321no—
1574C22—3321no—
1575C22—3321no—
1576C22—3321no—
1577C22—3321no—
1578C22—3321no—
1579C22—3321no—
1580C22—3321no—
1581C22—3321no—
1582C22—3321no—
1583C22—3321no—
1584C22—3321no—
1585C22—3321no—
1586C22—6648no—
1587C22—1662no—
1588C22—1662no—
1589C22—1662no—
1590C22C22×D4×D8311yescharacteristic
1591C22H(5,𝔽2)×D8311yescharacteristic
1592C22#1912853611yescharacteristic
1593C22#1912853711yescharacteristic
1594C22#1912853711yescharacteristic
1595C22#1912853711yescharacteristic
1596C22#1912853711yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—3321no—
1610C4—3321no—
1611C4—3321no—
1612C4—3321no—
1613C4—3321no—
1614C4—3321no—
1615C4—3321no—
1616C4—3321no—
1617C4—3321no—
1618C4—1662no—
1619C4—1662no—
1620C4—1662no—
1621C4—1662no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—3322no—
1626C2—6641no—
1627C2—6641no—
1628C2#2492079311yescharacteristic
1629C2#2492122411yescharacteristic
1630C2#2492125011yescharacteristic
1631C2#2492162111yescharacteristic
1632C2#2492172611yescharacteristic
1633C2#2492213711yescharacteristic
1634C2#2492215411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2602C2
hypercenter#2602D83
hypocenterC83#36745
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. C2×#19128319C2semidirect
2. C2×#19128284C2semidirect
3. #24915790C2semidirect
4. #24915761C2semidirect
5. #24914386C2semidirect
6. #24914293C2semidirect
7. #24914277C2semidirect
8. #24914235C2semidirect
9. #24914067C2semidirect
10. #24914043C2semidirect
11. #24914017C2semidirect
12. #24913948C2semidirect
13. #24913905C2semidirect
14. #24913875C2semidirect
15. #24913856C2semidirect
16. #24913845C2semidirect
17. #24913768C2semidirect
18. #24913748C2semidirect
19. #24913688C2semidirect
20. #24913670C2semidirect
21. #24913617C2semidirect
22. #24913593C2semidirect
23. #24913147C2semidirect
24. #24913097C2semidirect
25. #24913065C2semidirect
26. #24912949C2semidirect
27. #24912616C2semidirect
28. #24910892C2semidirect
29. #24910849C2semidirect
30. #24909909C2semidirect
31. C83×#2602C2semidirect
34. C2×#14581791C22semidirect
36. C2×#14581787C22semidirect
44. C2×#14581778C22semidirect
47. C2×#14581774C22semidirect
49. C2×#14581771C22semidirect
50. C2×#14581770C22semidirect
52. C2×#14581769C22semidirect
61. C2×#14581757C22semidirect
64. C2×#14581748C22semidirect
66. C2×C42×D83C22semidirect
67. #19127642C22semidirect
68. #19127642C22semidirect
71. #19127635C22semidirect
72. #19127634C22semidirect
74. #19127630C22semidirect
77. #19127629C22semidirect
78. #19127629C22semidirect
81. #19127627C22semidirect
83. #19127624C22semidirect
86. #19127621C22semidirect
87. #19127621C22semidirect
88. #19127621C22semidirect
97. #19127616C22semidirect
105. #19127613C22semidirect
106. #19127613C22semidirect
110. #19127609C22semidirect
111. #19127607C22semidirect
112. #19127605C22semidirect
113. #19127605C22semidirect
114. #19127605C22semidirect
121. #19127599C22semidirect
122. #19127598C22semidirect
123. #19127596C22semidirect
124. #19127596C22semidirect
127. #19127595C22semidirect
128. #19127595C22semidirect
129. #19127595C22semidirect
141. #19127589C22semidirect
142. #19127588C22semidirect
143. #19127588C22semidirect
144. #19127588C22semidirect
145. #19127587C22semidirect
146. #19127583C22semidirect
148. #19127581C22semidirect
156. #19127577C22semidirect
157. #19127577C22semidirect
158. #19127577C22semidirect
159. #19127575C22semidirect
160. #19127575C22semidirect
162. #19127573C22semidirect
163. #19127565C22semidirect
166. #19127561C22semidirect
167. #19127560C22semidirect
171. C4×Dic83⋊C4C22semidirect
172. C4×(C2×D83)⋊C4C22semidirect
173. #19127547C22semidirect
180. #390×C83C22semidirect
181. #389×C83C22semidirect
182. #388×C83C22semidirect
183. #388×C83C22semidirect
184. #388×C83C22semidirect
185. #387×C83C22semidirect
186. #386×C83C22semidirect
187. #385×C83C22semidirect
236. C4×C22⋊D83D4semidirect
842. #2602D83semidirect
849. C83#36745semidirect
945. #390C2×D83semidirect
950. #389C2×D83semidirect
968. #388C2×D83semidirect
969. #388C2×D83semidirect
970. #388C2×D83semidirect
976. #387C2×D83semidirect
989. #386C2×D83semidirect
994. #385C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283192
C2×#191282842
#249157902
#249157612
#249143862
#249142932
#249142772
#249142352
#249140672
#249140432
#249140172
#249139482
#249139052
#249138752
#249138562
#249138452
#249137682
#249137482
#249136882
#249136702
#249136172
#249135932
#249131472
#249130972
#249130652
#249129492
#249126162
#249108922
#249108492
#249099092
C83×#26022
#3674583