Finite Group Databasebeta

← #35574583

Subgroups — #35574583

Order 21248.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128234C211yesmaximal, characteristic, complemented
2C2×#19128209C211yesmaximal, characteristic, complemented
3#24912605C211yesmaximal, characteristic, complemented
4#24912598C211yesmaximal, characteristic, complemented
5#24912573C211yesmaximal, characteristic, complemented
6#24912566C211yesmaximal, characteristic, complemented
7#24912541C211yesmaximal, characteristic, complemented
8#24912537C211yesmaximal, characteristic, complemented
9#24912508C211yesmaximal, characteristic, complemented
10#24912470C211yesmaximal, characteristic, complemented
11#24912426C211yesmaximal, characteristic, complemented
12#24912388C211yesmaximal, characteristic, complemented
13#24912354C211yesmaximal, characteristic, complemented
14#24911794C211yesmaximal, characteristic, complemented
15#24911595C211yesmaximal, characteristic, complemented
16#24911019C211yesmaximal, characteristic, complemented
17#24911006C211yesmaximal, characteristic, complemented
18#24910738C211yesmaximal, characteristic, complemented
19#24910727C211yesmaximal, characteristic, complemented
20#24910706C211yesmaximal, characteristic, complemented
21#24910675C211yesmaximal, characteristic, complemented
22#24910004C211yesmaximal, characteristic, complemented
23#24909990C211yesmaximal, characteristic, complemented
24#24909979C211yesmaximal, characteristic, complemented
25#24909975C211yesmaximal, characteristic, complemented
26#24909968C211yesmaximal, characteristic, complemented
27#24909950C211yesmaximal, characteristic, complemented
28#24909925C211yesmaximal, characteristic, complemented
29C4×#14581754C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D83C211yesmaximal, characteristic, complemented
31C83×#2554C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34#19128234—28no—
35C2×#14581786C2211yescharacteristic, complemented
36C2×#14581782C2211yescharacteristic, complemented
37C2×#14581778C2211yescharacteristic
38C2×#14581778C2211yescharacteristic, complemented
39#19128209—28no—
40C2×#14581777C2211yescharacteristic
41C2×#14581775C2211yescharacteristic
42C2×#14581774C2211yescharacteristic
43C2×#14581774C2211yescharacteristic
44C2×#14581770C2211yescharacteristic
45C2×#14581770C2211yescharacteristic
46C2×#14581770C2211yescharacteristic
47C2×#14581765C2211yescharacteristic
48C2×#14581765C2211yescharacteristic
49C2×#14581765C2211yescharacteristic
50C2×#14581765C2211yescharacteristic
51C2×#14581763C2211yescharacteristic
52C2×#14581762C2211yescharacteristic
53C2×#14581760C2211yescharacteristic
54C2×#14581760C2211yescharacteristic
55C2×#14581757C2211yescharacteristic, complemented
56C2×C4×D332C2211yescharacteristic
57C2×D4×Dic83C2211yescharacteristic
58C2×D4×Dic83C2211yescharacteristic, complemented
59C2×#14581754C2211yescharacteristic
60C2×#14581754C2211yescharacteristic
61C2×#14581754C2211yescharacteristic
62C2×(C22⋊D83)⋊C4C2211yescharacteristic
63C2×(C22⋊D83)⋊C4C2211yescharacteristic
64C2×(C22⋊D83)⋊C4C2211yescharacteristic
65C2×(C22⋊D83)⋊C4C2211yescharacteristic
66C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
67C2×#14581750C2211yescharacteristic, complemented
68C2×#14581748C2211yescharacteristic
69C2×#14581748C2211yescharacteristic, complemented
70C2×C22⋊C4×D83C2211yescharacteristic
71C2×C22⋊C4×D83C2211yescharacteristic
72C2×C42×D83C2211yescharacteristic
73C2×C42×D83C2211yescharacteristic
74C2×C42×D83C2211yescharacteristic, complemented
75#19127642C2211yescharacteristic, complemented
76#19127640C2211yescharacteristic, complemented
77#19127638C2211yescharacteristic
78#19127637C2211yescharacteristic
79#19127635C2211yescharacteristic, complemented
80#19127634C2211yescharacteristic, complemented
81#19127631C2211yescharacteristic, complemented
82#19127629C2211yescharacteristic, complemented
83#19127628C2211yescharacteristic, complemented
84#19127628C2211yescharacteristic, complemented
85#19127627C2211yescharacteristic
86#19127624C2211yescharacteristic
87#19127624C2211yescharacteristic, complemented
88#19127623C2211yescharacteristic
89#19127622C2211yescharacteristic, complemented
90#19127621C2211yescharacteristic, complemented
91#19127618C2211yescharacteristic
92#19127618C2211yescharacteristic
93#19127617C2211yescharacteristic
94#19127617C2211yescharacteristic
95#19127617C2211yescharacteristic, complemented
96#19127616C2211yescharacteristic
97#19127615C2211yescharacteristic
98#19127613C2211yescharacteristic
99#19127613C2211yescharacteristic, complemented
100#19127609C2211yescharacteristic
101#19127609C2211yescharacteristic
102#19127609C2211yescharacteristic, complemented
103#19127607C2211yescharacteristic, complemented
104#19127606C2211yescharacteristic, complemented
105#19127605C2211yescharacteristic, complemented
106#19127604C2211yescharacteristic
107#19127604C2211yescharacteristic
108#19127601C2211yescharacteristic
109#19127601C2211yescharacteristic
110#19127599C2211yescharacteristic, complemented
111#19127599C2211yescharacteristic, complemented
112#19127597C2211yescharacteristic, complemented
113#19127596C2211yescharacteristic, complemented
114#19127595C2211yescharacteristic
115#19127595C2211yescharacteristic, complemented
116#19127595C2211yescharacteristic, complemented
117#19127595C2211yescharacteristic, complemented
118#19127595C2211yescharacteristic, complemented
119#19127592C2211yescharacteristic
120#19127592C2211yescharacteristic
121#19127591C2211yescharacteristic
122#19127589C2211yescharacteristic
123#19127589C2211yescharacteristic, complemented
124#19127589C2211yescharacteristic, complemented
125#19127586C2211yescharacteristic, complemented
126#19127585C2211yescharacteristic, complemented
127#19127579C2211yescharacteristic
128#19127577C2211yescharacteristic
129#19127577C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127577C2211yescharacteristic
133#19127577C2211yescharacteristic
134#19127577C2211yescharacteristic
135#19127577C2211yescharacteristic, complemented
136#19127577C2211yescharacteristic, complemented
137#19127577C2211yescharacteristic, complemented
138#19127575C2211yescharacteristic
139#19127575C2211yescharacteristic
140#19127574C2211yescharacteristic
141#19127572C2211yescharacteristic
142#19127565C2211yescharacteristic, complemented
143#19127563C2211yescharacteristic
144#19127560C2211yescharacteristic, complemented
145#19127558C2211yescharacteristic
146#19127556C2211yescharacteristic
147C4⋊C4×Dic83C2211yescharacteristic, complemented
148C4⋊C4×Dic83C2211yescharacteristic, complemented
149C4⋊C4×Dic83C2211yescharacteristic, complemented
150C4⋊C4×Dic83C2211yescharacteristic, complemented
151#19127552C2211yescharacteristic, complemented
152C22⋊C4×Dic83C2211yescharacteristic
153C22⋊C4×Dic83C2211yescharacteristic
154C22⋊C4×Dic83C2211yescharacteristic
155C22⋊C4×Dic83C2211yescharacteristic, complemented
156C22⋊C4×Dic83C2211yescharacteristic, complemented
157C22⋊C4×Dic83C2211yescharacteristic, complemented
158C22⋊C4×Dic83C2211yescharacteristic, complemented
159C4×(C2×D83)⋊C4C2211yescharacteristic
160C4×(C2×D83)⋊C4C2211yescharacteristic
161C4×(C2×D83)⋊C4C2211yescharacteristic
162C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic83C2211yescharacteristic
164#19127548C2211yescharacteristic
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic
167#19127548C2211yescharacteristic
168#19127548C2211yescharacteristic
169#19127548C2211yescharacteristic, complemented
170#19127548C2211yescharacteristic, complemented
171#95×D83C2211yescharacteristic
172#95×D83C2211yescharacteristic
173C42×Dic83C2211yescharacteristic, complemented
174C2×#126×C83C2211yescharacteristic, complemented
175C2×#123×C83C2211yescharacteristic
176#398×C83C2211yescharacteristic, complemented
177#396×C83C2211yescharacteristic
178#394×C83C2211yescharacteristic, complemented
179#392×C83C2211yescharacteristic
180#390×C83C2211yescharacteristic
181#390×C83C2211yescharacteristic
182#390×C83C2211yescharacteristic, complemented
183#388×C83C2211yescharacteristic, complemented
184#388×C83C2211yescharacteristic, complemented
185#388×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic
187C4×C4⋊C4×C83C2211yescharacteristic, complemented
188C4×C22⋊C4×C83C2211yescharacteristic
189C24×D83C2311yescharacteristic
190C2×#13050589—24no—
191C2×#13050589—24no—
192C2×#13050589—42no—
193C22×Dic166C2311yescharacteristic
194C22×Dic166C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C22×C4×D83—24no—
208C22×C4×D83—24no—
209C22×C4×D83—42no—
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221#14581786—24no—
222#14581782—24no—
223#14581778—24no—
224#14581778—24no—
225#14581777—24no—
226#14581775—24no—
227#14581774—24no—
228#14581774—24no—
229#14581770—24no—
230#14581770—24no—
231#14581770—24no—
232#14581765—24no—
233#14581765—24no—
234#14581765—24no—
235#14581765—24no—
236#14581763—24no—
237#14581762—24no—
238#14581760—24no—
239#14581760—24no—
240#14581757—24no—
241C4×D332—24no—
242D4×Dic83—24no—
243D4×Dic83—42no—
244#14581754—24no—
245#14581754—24no—
246#14581754D418yescomplemented
247(C22⋊D83)⋊C4—24no—
248(C22⋊D83)⋊C4—24no—
249(C22⋊D83)⋊C4—24no—
250(C22⋊D83)⋊C4—24no—
251(C22⋊D83)⋊C4—42no—
252#14581750—24no—
253#14581748—24no—
254#14581748—24no—
255C2×C4⋊Dic83C2311yescharacteristic
256C2×C4⋊Dic83C2311yescharacteristic
257C2×C4⋊Dic83C2311yescharacteristic
258C2×C4⋊Dic83C2311yescharacteristic
259C2×C4⋊Dic83C2311yescharacteristic
260C2×C4⋊Dic83C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×Dic83⋊C4C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C2×Dic83⋊C4C2311yescharacteristic
273C2×Dic83⋊C4C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
283C2×C22⋊Dic83C2311yescharacteristic
284C2×C22⋊Dic83C2311yescharacteristic
285C2×C22⋊Dic83C2311yescharacteristic
286C2×C22⋊Dic83C2311yescharacteristic
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×(C2×D83)⋊C4C2311yescharacteristic
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C22⋊C4×D83—24no—
309C22⋊C4×D83—24no—
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C2×C4×Dic83C2311yescharacteristic
314C2×C4×Dic83C2311yescharacteristic
315C2×C4×Dic83C2311yescharacteristic
316C2×C4×Dic83C2311yescharacteristic
317C2×C4×Dic83C2311yescharacteristic
318C2×C4×Dic83C2311yescharacteristic
319C2×C4×Dic83C2311yescharacteristic
320C2×C4×Dic83C2311yescharacteristic
321C2×C4×Dic83C2311yescharacteristic
322C2×C4×Dic83C2311yescharacteristic
323C2×C4×Dic83C2311yescharacteristic
324C2×C4×Dic83C2311yescharacteristic
325C42×D83—24no—
326C42×D83—42no—
327C42×D83—42no—
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
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C83⋊#95C2311yescharacteristic
353C83⋊#95C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C22×D4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358#126×C83—24no—
359#123×C83—24no—
360C2×C4⋊C4×C83C2311yescharacteristic
361C2×C4⋊C4×C83C2311yescharacteristic
362C2×C4⋊C4×C83C2311yescharacteristic
363C2×C4⋊C4×C83C2311yescharacteristic
364C2×C4⋊C4×C83C2311yescharacteristic
365C2×C4⋊C4×C83C2311yescharacteristic
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371C2×C22⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C22⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C42×C83C2311yescharacteristic
382C2×C42×C83C2311yescharacteristic
383C2×C42×C83C2311yescharacteristic
384C2×C42×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—22no—
394C23×D83—22no—
395C23×D83—22no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401#13050589—416no—
402C2×Dic166—22no—
403C2×Dic166—22no—
404C2×Dic166—22no—
405C2×Dic166—22no—
406C2×Dic166—41no—
407C2×Dic166—41no—
408C2×D332—22no—
409C2×D332—22no—
410C2×D332—22no—
411C2×D332—22no—
412C2×D332—41no—
413C2×D332C2×D414yes—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—22no—
420C2×C22⋊D83—22no—
421C2×C22⋊D83—22no—
422C2×C22⋊D83—22no—
423C2×C22⋊D83—22no—
424C2×C22⋊D83—22no—
425C2×C22⋊D83—22no—
426C2×C22⋊D83—22no—
427C2×C22⋊D83—22no—
428C2×C22⋊D83—22no—
429C2×C22⋊D83—22no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—41no—
432C2×C22⋊D83—41no—
433C2×C22⋊D83—41no—
434C2×C22⋊D83—41no—
435C22×Dic83—22no—
436C22×Dic83—22no—
437C22×Dic83—22no—
438C22×Dic83—22no—
439C22×Dic83—22no—
440C22×Dic83—22no—
441C22×Dic83—22no—
442C22×Dic83—22no—
443C22×Dic83#4114yes—
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C22×Dic83C2411yescharacteristic
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C2×C4×D83—22no—
458C2×C4×D83—22no—
459C2×C4×D83—22no—
460C2×C4×D83—22no—
461C2×C4×D83—22no—
462C2×C4×D83—22no—
463C2×C4×D83—22no—
464C2×C4×D83—22no—
465C2×C4×D83—22no—
466C2×C4×D83—22no—
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—22no—
471C2×C4×D83—22no—
472C2×C4×D83—22no—
473C2×C4×D83—22no—
474C2×C4×D83—22no—
475C2×C4×D83—22no—
476C2×C4×D83—22no—
477C2×C4×D83—22no—
478C2×C4×D83—416no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C2×C4×D83—41no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C2×C4×D83—41no—
488C2×C4×D83C2×D414yes—
489C2×C4×D83C2×D414yes—
490C2×C4×D83#4114yescomplemented
491C4⋊Dic83—22no—
492C4⋊Dic83—22no—
493C4⋊Dic83—22no—
494C4⋊Dic83—22no—
495C4⋊Dic83—22no—
496C4⋊Dic83—41no—
497Dic83⋊C4—22no—
498Dic83⋊C4—22no—
499Dic83⋊C4—22no—
500Dic83⋊C4—22no—
501Dic83⋊C4—22no—
502Dic83⋊C4—22no—
503Dic83⋊C4—22no—
504Dic83⋊C4—22no—
505Dic83⋊C4—22no—
506Dic83⋊C4—22no—
507Dic83⋊C4—22no—
508Dic83⋊C4—22no—
509Dic83⋊C4—41no—
510C22⋊Dic83—22no—
511C22⋊Dic83—22no—
512C22⋊Dic83—22no—
513C22⋊Dic83—22no—
514C22⋊Dic83—22no—
515C22⋊Dic83—22no—
516C22⋊Dic83—22no—
517C22⋊Dic83—22no—
518C22⋊Dic83—22no—
519C22⋊Dic83—22no—
520C22⋊Dic83—22no—
521C22⋊Dic83—41no—
522C22⋊Dic83—41no—
523(C2×D83)⋊C4—22no—
524(C2×D83)⋊C4—22no—
525(C2×D83)⋊C4—22no—
526(C2×D83)⋊C4—22no—
527(C2×D83)⋊C4—22no—
528(C2×D83)⋊C4—22no—
529(C2×D83)⋊C4—22no—
530(C2×D83)⋊C4—22no—
531(C2×D83)⋊C4—22no—
532(C2×D83)⋊C4—22no—
533(C2×D83)⋊C4—22no—
534(C2×D83)⋊C4—22no—
535(C2×D83)⋊C4—22no—
536(C2×D83)⋊C4—22no—
537(C2×D83)⋊C4—22no—
538(C2×D83)⋊C4—22no—
539(C2×D83)⋊C4—41no—
540(C2×D83)⋊C4C2×D414yes—
541(C2×D83)⋊C4C2×D414yes—
542(C2×D83)⋊C4#4114yescomplemented
543(C2×D83)⋊C4#4114yescomplemented
544C4×Dic83—22no—
545C4×Dic83—22no—
546C4×Dic83—22no—
547C4×Dic83—22no—
548C4×Dic83—22no—
549C4×Dic83—22no—
550C4×Dic83—22no—
551C4×Dic83—22no—
552C4×Dic83—22no—
553C4×Dic83—22no—
554C4×Dic83—22no—
555C4×Dic83—41no—
556C4×Dic83—41no—
557C4×Dic83—41no—
558C4×Dic83C2×D414yes—
559C24×C83C2411yescharacteristic
560C24×C83C2411yescharacteristic
561C24×C83C2411yescharacteristic
562C2×D4×C83—22no—
563C2×D4×C83—22no—
564C2×D4×C83—22no—
565C2×D4×C83—22no—
566C2×D4×C83—22no—
567C2×D4×C83—41no—
568C2×D4×C83—41no—
569C2×D4×C83—41no—
570C2×D4×C83—41no—
571C22×C4×C83—22no—
572C22×C4×C83—22no—
573C22×C4×C83—41no—
574C22×C4×C83C2411yescharacteristic
575C22×C4×C83C2411yescharacteristic
576C22×C4×C83C2411yescharacteristic
577C22×C4×C83C2411yescharacteristic
578C22×C4×C83C2411yescharacteristic
579C22×C4×C83C2411yescharacteristic
580C22×C4×C83C2411yescharacteristic
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C22×C4×C83C2411yescharacteristic
584C22×C4×C83C2411yescharacteristic
585C22×C4×C83C2411yescharacteristic
586C4⋊C4×C83—22no—
587C4⋊C4×C83—22no—
588C4⋊C4×C83—22no—
589C4⋊C4×C83—22no—
590C4⋊C4×C83—41no—
591C4⋊C4×C83—41no—
592C4⋊C4×C83C2×D414yes—
593C22⋊C4×C83—22no—
594C22⋊C4×C83—22no—
595C22⋊C4×C83—22no—
596C22⋊C4×C83—22no—
597C22⋊C4×C83—22no—
598C22⋊C4×C83—22no—
599C22⋊C4×C83—22no—
600C22⋊C4×C83—22no—
601C22⋊C4×C83—22no—
602C22⋊C4×C83—22no—
603C22⋊C4×C83—22no—
604C22⋊C4×C83—41no—
605C22⋊C4×C83—41no—
606C22⋊C4×C83—41no—
607C42×C83—22no—
608C42×C83—22no—
609C42×C83—41no—
610C42×C83—41no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83—21no—
617C23×C83—21no—
618C23×C83—21no—
619C23×C83—21no—
620C23×C83—21no—
621C23×C83—21no—
622C23×C83—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—21no—
628C23×C83—21no—
629C23×C83—21no—
630C23×C83—21no—
631C23×C83C2×#4112yes—
632C23×C83C2511yescharacteristic
633C22×D83—21no—
634C22×D83—21no—
635C22×D83—21no—
636C22×D83—21no—
637C22×D83—28no—
638C22×D83—21no—
639C22×D83—21no—
640C22×D83—21no—
641C22×D83—21no—
642C22×D83—21no—
643C22×D83—21no—
644C22×D83—21no—
645C22×D83—21no—
646C22×D83—21no—
647C22×D83—21no—
648C22×D83—21no—
649C22×D83—21no—
650C22×D83—44no—
651C22×D83—44no—
652C22×D83—44no—
653C22×D83—44no—
654C22×D83—44no—
655C22×D83—44no—
656C22×D83C22×D412yes—
657C22×D83C22×D412yes—
658C22×D83C2×#4112yes—
659C22×D83C2×#4112yes—
660C22×D83C2×#4112yes—
661D4×C83—44no—
662D4×C83—44no—
663D4×C83—44no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—44no—
695C2×C4×C83C22×D412yes—
696C2×C4×C83C22×D412yes—
697C2×C4×C83C22×D412yes—
698C2×C4×C83C2×#4112yes—
699C2×C4×C83C2×#4112yes—
700C2×C4×C83C2×#4112yes—
701C22⋊D83—44no—
702C22⋊D83—44no—
703C22⋊D83—44no—
704C22⋊D83—44no—
705C22⋊D83—44no—
706C22⋊D83—44no—
707C22⋊D83—44no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—28no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—21no—
736C2×Dic83—21no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—44no—
741C2×Dic83—44no—
742C2×Dic83C22×D412yes—
743C2×Dic83C22×D412yes—
744C2×Dic83C2×#4112yes—
745C2×Dic83C2×#4112yes—
746C2×Dic83C2×#4112yes—
747C2×Dic83C2×#4112yes—
748C2×Dic83C2×#4112yes—
749C2×Dic83H(5,𝔽2)12yes—
750D332—28no—
751D332—44no—
752C4×D83—28no—
753C4×D83—28no—
754C4×D83—44no—
755C4×D83—44no—
756C4×D83—44no—
757C4×D83—44no—
758C4×D83—44no—
759C4×D83—44no—
760C4×D83—44no—
761C4×D83—44no—
762C4×D83—44no—
763Dic166—44no—
764Dic166—44no—
765C22×C83—22no—
766C22×C83—22no—
767C22×C83—22no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83—41no—
771C22×C83—41no—
772C22×C83—41no—
773C22×C83—41no—
774C22×C83—41no—
775C22×C83—41no—
776C22×C83—41no—
777C22×C83—41no—
778C22×C83—41no—
779C22×C83—41no—
780C22×C83—41no—
781C22×C83—41no—
782C22×C83—41no—
783C22×C83—41no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83C23×D411yescharacteristic
787C22×C83C22×#4111yescharacteristic
788C22×C83C22×#4111yescharacteristic
789C22×C83C22×#4111yescharacteristic
790C22×C83C22×#4111yescharacteristic
791C22×C83C2×H(5,𝔽2)11yescharacteristic
792C22×C83#58511yescharacteristic
793C2×D83—22no—
794C2×D83—22no—
795C2×D83—22no—
796C2×D83—22no—
797C2×D83—22no—
798C2×D83—22no—
799C2×D83—22no—
800C2×D83—22no—
801C2×D83—22no—
802C2×D83—22no—
803C2×D83—22no—
804C2×D83—22no—
805C2×D83—416no—
806C2×D83—41no—
807C2×D83—41no—
808C2×D83—41no—
809C2×D83—41no—
810C2×D83—41no—
811C2×D83—41no—
812C2×D83—41no—
813C2×D83—41no—
814C2×D83#53214yes—
815C4×C83—22no—
816C4×C83—22no—
817C4×C83—22no—
818C4×C83—22no—
819C4×C83—22no—
820C4×C83—22no—
821C4×C83—41no—
822C4×C83—41no—
823C4×C83—41no—
824C4×C83—41no—
825C4×C83—41no—
826C4×C83—41no—
827Dic83—22no—
828Dic83—22no—
829Dic83—22no—
830Dic83—22no—
831Dic83—22no—
832Dic83—41no—
833Dic83—41no—
834Dic83—41no—
835Dic83—41no—
836Dic83—41no—
837Dic83—41no—
838Dic83—41no—
839Dic83#54614yes—
840#34829—831nomaximal, Sylow
841C2×C83—42no—
842C2×C83—81no—
843C2×C83—81no—
844C2×C83C2×#53211yescharacteristic
845C2×C83#344411yescharacteristic
846C2×C83#345911yescharacteristic
847C2×C83C2×#54611yescharacteristic
848C2×C83D4×#4111yescharacteristic
849C2×C83#347511yescharacteristic
850C2×C83#348111yescharacteristic
851D83—24no—
852D83—42no—
853D83—42no—
854C2×#529—831no—
855C2×#525—831no—
856#2560—831no—
857#2559—831no—
858#2558—831no—
859#2557—831no—
860#2556—831no—
861#2555—831no—
862#2554D8311yescharacteristic, complemented
863#2553—831no—
864#2549—831no—
865#2543—831no—
866#2539—831no—
867#2534—831no—
868#2488—831no—
869#2472—831no—
870#2425—831no—
871#2424—831no—
872#2396—831no—
873#2395—831no—
874#2392—831no—
875#2388—831no—
876C4×#124—831no—
877C4×#123—831no—
878C4×#121—831no—
879C4×#121—831no—
880C4×#120—831no—
881#2297—831no—
882#2293—831no—
883C42×D4—831no—
884C2×C4×C22⋊C4—831no—
885C83#3482911yescharacteristic, complemented, Sylow
886C22×#41—831no—
887C24×C4—831no—
888#529—1668no—
889C2×#126—831no—
890C2×#126C2×D8311yescharacteristic, complemented
891C2×#125—831no—
892C2×#124—831no—
893C2×#124—831no—
894#525—1668no—
895C2×#123—831no—
896C2×#123—831no—
897C2×#123—831no—
898C2×#123—831no—
899C2×#123C2×D8311yescharacteristic
900C2×C22⋊Q8—831no—
901C2×C22⋊Q8—831no—
902C2×C22⋊Q8—831no—
903C2×#121—831no—
904C2×#121—831no—
905C2×#121—831no—
906C2×#121—831no—
907C2×#121—831no—
908C2×#120—831no—
909C2×#120—831no—
910C2×#120—831no—
911C2×C4×Q8—831no—
912C2×C4×D4—831no—
913C2×C4×D4—831no—
914C2×C4×D4—831no—
915C2×C4×D4—831no—
916C2×C4×D4—831no—
917C2×C4×D4—831no—
918C2×C4×D4—831no—
919C2×C4×D4—831no—
920C2×C4×D4—831no—
921C2×C4×D4—831no—
922C2×C4×D4—831no—
923C2×#117—831no—
924C2×#117—831no—
925C2×#117—831no—
926C22×C22⋊C4—831no—
927C22×C22⋊C4—831no—
928C22×C42—831no—
929C22×C42—831no—
930C22×C42—831no—
931#400—831no—
932#400—831no—
933#399—831no—
934#399—831no—
935#398—831no—
936#398—831no—
937#398—831no—
938#398C2×D8311yescharacteristic, complemented
939#397—831no—
940#397—831no—
941#397—831no—
942#397—831no—
943#396—831no—
944#396—831no—
945#396—831no—
946#396C2×D8311yescharacteristic
947#395—831no—
948#395—831no—
949#394—831no—
950#394—831no—
951#394—831no—
952#394—831no—
953#394—831no—
954#394—831no—
955#394—831no—
956#394C2×D8311yescharacteristic, complemented
957#393—831no—
958#393—831no—
959#392—831no—
960#392—831no—
961#392—831no—
962#392C2×D8311yescharacteristic
963#391—831no—
964#391—831no—
965#391—831no—
966#390—831no—
967#390—831no—
968#390—831no—
969#390—831no—
970#390C2×D8311yescharacteristic
971#390C2×D8311yescharacteristic
972#390C2×D8311yescharacteristic, complemented
973#389—831no—
974#389—831no—
975#389—831no—
976#389—831no—
977#388—831no—
978#388—831no—
979#388—831no—
980#388—831no—
981#388—831no—
982#388—831no—
983#388—831no—
984#388—831no—
985#388—831no—
986#388—831no—
987#388—831no—
988#388C2×D8311yescharacteristic, complemented
989#388C2×D8311yescharacteristic, complemented
990#388C2×D8311yescharacteristic, complemented
991#387—831no—
992#387—831no—
993#386—831no—
994#386—831no—
995#386—831no—
996#386—831no—
997#386—831no—
998#386—831no—
999#386—831no—
1000#386—831no—
1001#386—831no—
1002#386—831no—
1003#386—831no—
1004#386C2×D8311yescharacteristic
1005#385—831no—
1006#385—831no—
1007#385—831no—
1008#385—831no—
1009#382—831no—
1010#381—831no—
1011#380—831no—
1012#380—831no—
1013#379—831no—
1014C4×C4⋊C4—831no—
1015C4×C4⋊C4—831no—
1016C4×C4⋊C4—831no—
1017C4×C4⋊C4—831no—
1018C4×C4⋊C4—831no—
1019C4×C4⋊C4C2×D8311yescharacteristic, complemented
1020C4×C22⋊C4—831no—
1021C4×C22⋊C4—831no—
1022C4×C22⋊C4—831no—
1023C4×C22⋊C4—831no—
1024C4×C22⋊C4—831no—
1025C4×C22⋊C4—831no—
1026C4×C22⋊C4—831no—
1027C4×C22⋊C4—831no—
1028C4×C22⋊C4—831no—
1029C4×C22⋊C4—831no—
1030C4×C22⋊C4—831no—
1031C4×C22⋊C4—831no—
1032C4×C22⋊C4—831no—
1033C4×C22⋊C4—831no—
1034C4×C22⋊C4—831no—
1035C4×C22⋊C4—831no—
1036C4×C22⋊C4—831no—
1037C4×C22⋊C4—831no—
1038C4×C22⋊C4—831no—
1039C4×C22⋊C4C2×D8311yescharacteristic
1040C2×#95—831no—
1041C2×#95—831no—
1042C43—831no—
1043C25—831no—
1044C2×#41—3322no—
1045C2×#41—1664no—
1046C2×#41—1664no—
1047C22×Q8—831no—
1048C22×Q8—831no—
1049C22×D4—831no—
1050C22×D4—831no—
1051C22×D4—831no—
1052C22×D4—831no—
1053C22×D4—831no—
1054C22×D4—831no—
1055C22×D4—831no—
1056C22×D4—831no—
1057C22×D4—831no—
1058C22×D4C22×D8311yescharacteristic
1059C22×D4C22×D8311yescharacteristic
1060C22×D4C22×D8311yescharacteristic
1061C23×C4—3322no—
1062C23×C4—831no—
1063C23×C4—831no—
1064C23×C4—831no—
1065C23×C4—831no—
1066C23×C4—831no—
1067C23×C4—831no—
1068C23×C4—831no—
1069C23×C4—831no—
1070C23×C4—831no—
1071C23×C4—831no—
1072C23×C4—831no—
1073C23×C4—831no—
1074C23×C4—831no—
1075C23×C4—831no—
1076C23×C4—1664no—
1077C23×C4—1664no—
1078C23×C4C22×D8311yescharacteristic
1079#126—24no—
1080#126—1664no—
1081#125—1664no—
1082#124—1664no—
1083#124—1664no—
1084#123—24no—
1085#123—1664no—
1086#123—1664no—
1087#123—1664no—
1088#123—1664no—
1089C22⋊Q8—1664no—
1090C22⋊Q8—1664no—
1091C22⋊Q8—1664no—
1092#121—1664no—
1093#121—1664no—
1094#121—1664no—
1095#121—1664no—
1096#121—1664no—
1097#120—1664no—
1098#120—1664no—
1099#120—1664no—
1100C4×Q8—1664no—
1101C4×D4—3322no—
1102C4×D4—3322no—
1103C4×D4—838no—
1104C4×D4—1664no—
1105C4×D4—1664no—
1106C4×D4—1664no—
1107C4×D4—1664no—
1108C4×D4—1664no—
1109C4×D4—1664no—
1110C4×D4—1664no—
1111C4×D4—1664no—
1112#117—1664no—
1113#117—1664no—
1114#117—1664no—
1115C2×C4⋊C4—831no—
1116C2×C4⋊C4—831no—
1117C2×C4⋊C4—831no—
1118C2×C4⋊C4—831no—
1119C2×C4⋊C4—831no—
1120C2×C4⋊C4—831no—
1121C2×C4⋊C4—831no—
1122C2×C4⋊C4—831no—
1123C2×C4⋊C4—831no—
1124C2×C4⋊C4—831no—
1125C2×C4⋊C4—831no—
1126C2×C4⋊C4—831no—
1127C2×C4⋊C4—831no—
1128C2×C4⋊C4—831no—
1129C2×C4⋊C4—831no—
1130C2×C4⋊C4—831no—
1131C2×C4⋊C4—831no—
1132C2×C4⋊C4—831no—
1133C2×C4⋊C4—831no—
1134C2×C4⋊C4C22×D8311yescharacteristic
1135C2×C4⋊C4C22×D8311yescharacteristic
1136C2×C4⋊C4C22×D8311yescharacteristic
1137C2×C4⋊C4C22×D8311yescharacteristic
1138C2×C4⋊C4C22×D8311yescharacteristic
1139C2×C4⋊C4C22×D8311yescharacteristic
1140C2×C4⋊C4C22×D8311yescharacteristic
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4—831no—
1147C2×C22⋊C4—831no—
1148C2×C22⋊C4—831no—
1149C2×C22⋊C4—831no—
1150C2×C22⋊C4—831no—
1151C2×C22⋊C4—831no—
1152C2×C22⋊C4—831no—
1153C2×C22⋊C4—831no—
1154C2×C22⋊C4—831no—
1155C2×C22⋊C4—831no—
1156C2×C22⋊C4—831no—
1157C2×C22⋊C4—831no—
1158C2×C22⋊C4—831no—
1159C2×C22⋊C4—831no—
1160C2×C22⋊C4—831no—
1161C2×C22⋊C4—831no—
1162C2×C22⋊C4—831no—
1163C2×C22⋊C4—831no—
1164C2×C22⋊C4—831no—
1165C2×C22⋊C4—831no—
1166C2×C22⋊C4—831no—
1167C2×C22⋊C4—831no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—831no—
1171C2×C22⋊C4—831no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—1664no—
1176C2×C22⋊C4—1664no—
1177C2×C22⋊C4C22×D8311yescharacteristic
1178C2×C22⋊C4C22×D8311yescharacteristic
1179C2×C22⋊C4C22×D8311yescharacteristic
1180C2×C22⋊C4C22×D8311yescharacteristic
1181C2×C22⋊C4C22×D8311yescharacteristic
1182C2×C22⋊C4C22×D8311yescharacteristic
1183C2×C22⋊C4C22×D8311yescharacteristic
1184C2×C22⋊C4C22×D8311yescharacteristic
1185C2×C22⋊C4C22×D8311yescharacteristic
1186C2×C22⋊C4C22×D8311yescharacteristic
1187C2×C22⋊C4C22×D8311yescharacteristic
1188C2×C22⋊C4C22×D8311yescharacteristic
1189C2×C22⋊C4C22×D8311yescharacteristic
1190C2×C22⋊C4C22×D8311yescharacteristic
1191C2×C42—3322no—
1192C2×C42—3322no—
1193C2×C42—831no—
1194C2×C42—831no—
1195C2×C42—831no—
1196C2×C42—831no—
1197C2×C42—831no—
1198C2×C42—831no—
1199C2×C42—831no—
1200C2×C42—831no—
1201C2×C42—831no—
1202C2×C42—831no—
1203C2×C42—831no—
1204C2×C42—831no—
1205C2×C42—831no—
1206C2×C42—831no—
1207C2×C42—831no—
1208C2×C42—1664no—
1209C2×C42C22×D8311yescharacteristic
1210C2×C42C22×D8311yescharacteristic
1211C2×C42C22×D8311yescharacteristic
1212C2×C42C22×D8311yescharacteristic
1213#95—831no—
1214#95—831no—
1215#95—831no—
1216#95—831no—
1217#95—831no—
1218#95—831no—
1219#95—831no—
1220#95—831no—
1221#95—831no—
1222#95—831no—
1223#95—831no—
1224#95—831no—
1225#95—831no—
1226#95—831no—
1227#95—831no—
1228#95—831no—
1229#95—831no—
1230#95—831no—
1231#95—831no—
1232#95—831no—
1233#95—831no—
1234#95—831no—
1235#95—831no—
1236#95—831no—
1237#95—831no—
1238#95—831no—
1239#95C22×D8311yescharacteristic
1240#95C22×D8311yescharacteristic
1241#95C22×D8311yescharacteristic
1242#95C22×D8311yescharacteristic
1243#95C22×D8311yescharacteristic
1244#95C22×D8311yescharacteristic
1245C24—3321no—
1246C24—3321no—
1247C24—831no—
1248C24—831no—
1249C24—831no—
1250C24—1662no—
1251C24—1662no—
1252C24—1662no—
1253C24—1662no—
1254C24—1662no—
1255C24C23×D8311yescharacteristic
1256C24C23×D8311yescharacteristic
1257C24C23×D8311yescharacteristic
1258#41—33216no—
1259C2×Q8—3321no—
1260C2×Q8—3321no—
1261C2×Q8—1662no—
1262C2×Q8—1662no—
1263C2×Q8—1662no—
1264C2×Q8—1662no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—3321no—
1275C2×D4—3321no—
1276C2×D4—3321no—
1277C2×D4—3321no—
1278C2×D4—3321no—
1279C2×D4—3321no—
1280C2×D4—834no—
1281C2×D4—1662no—
1282C2×D4—1662no—
1283C2×D4—1662no—
1284C2×D4—1662no—
1285C2×D4—1662no—
1286C2×D4—1662no—
1287C2×D4—1662no—
1288C2×D4—1662no—
1289C2×D4—1662no—
1290C2×D4—1662no—
1291C2×D4—1662no—
1292C2×D4—1662no—
1293C2×D4—1662no—
1294C2×D4—1662no—
1295C2×D4—1662no—
1296C2×D4—1662no—
1297C2×D4—1662no—
1298C2×D4—1662no—
1299C2×D4—1662no—
1300C2×D4—1662no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—41no—
1304C22×C4—3321no—
1305C22×C4—3321no—
1306C22×C4—3321no—
1307C22×C4—3321no—
1308C22×C4—3321no—
1309C22×C4—3321no—
1310C22×C4—3321no—
1311C22×C4—3321no—
1312C22×C4—3321no—
1313C22×C4—33216no—
1314C22×C4—834no—
1315C22×C4—831no—
1316C22×C4—834no—
1317C22×C4—831no—
1318C22×C4—831no—
1319C22×C4—831no—
1320C22×C4—831no—
1321C22×C4—831no—
1322C22×C4—834no—
1323C22×C4—834no—
1324C22×C4—831no—
1325C22×C4—831no—
1326C22×C4—831no—
1327C22×C4—831no—
1328C22×C4—831no—
1329C22×C4—831no—
1330C22×C4—831no—
1331C22×C4—1662no—
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—
1344C22×C4—1662no—
1345C22×C4—1662no—
1346C22×C4—1662no—
1347C22×C4—1662no—
1348C22×C4—1662no—
1349C22×C4—1662no—
1350C22×C4—1662no—
1351C22×C4—1662no—
1352C22×C4—1662no—
1353C22×C4—1662no—
1354C22×C4—1662no—
1355C22×C4—1662no—
1356C22×C4—1662no—
1357C22×C4—1662no—
1358C22×C4—1662no—
1359C22×C4—1662no—
1360C22×C4C23×D8311yescharacteristic
1361C22×C4C23×D8311yescharacteristic
1362C22×C4C23×D8311yescharacteristic
1363C22×C4C23×D8311yescharacteristic
1364C22×C4C23×D8311yescharacteristic
1365C22×C4C23×D8311yescharacteristic
1366C22×C4C23×D8311yescharacteristic
1367C22×C4C23×D8311yescharacteristic
1368C22×C4C23×D8311yescharacteristic
1369C22×C4C23×D8311yescharacteristic
1370C22×C4C23×D8311yescharacteristic
1371C22×C4C23×D8311yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—3321no—
1379C4⋊C4—3321no—
1380C4⋊C4—1662no—
1381C4⋊C4—1662no—
1382C4⋊C4—1662no—
1383C4⋊C4—1662no—
1384C4⋊C4—1662no—
1385C4⋊C4—1662no—
1386C4⋊C4—1662no—
1387C4⋊C4—1662no—
1388C4⋊C4—1662no—
1389C4⋊C4—1662no—
1390C4⋊C4—1662no—
1391C4⋊C4—1662no—
1392C4⋊C4—1662no—
1393C4⋊C4—1662no—
1394C4⋊C4—1662no—
1395C4⋊C4—1662no—
1396C4⋊C4—1662no—
1397C4⋊C4D4×D8314yes—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—3321no—
1413C22⋊C4—3321no—
1414C22⋊C4—3321no—
1415C22⋊C4—834no—
1416C22⋊C4—834no—
1417C22⋊C4—834no—
1418C22⋊C4—834no—
1419C22⋊C4—1662no—
1420C22⋊C4—1662no—
1421C22⋊C4—1662no—
1422C22⋊C4—1662no—
1423C22⋊C4—1662no—
1424C22⋊C4—1662no—
1425C22⋊C4—1662no—
1426C22⋊C4—1662no—
1427C22⋊C4—1662no—
1428C22⋊C4—1662no—
1429C22⋊C4—1662no—
1430C22⋊C4—1662no—
1431C22⋊C4—1662no—
1432C22⋊C4—1662no—
1433C22⋊C4—1662no—
1434C22⋊C4—1662no—
1435C22⋊C4—1662no—
1436C22⋊C4—1662no—
1437C22⋊C4—1662no—
1438C22⋊C4—1662no—
1439C22⋊C4—1662no—
1440C22⋊C4—1662no—
1441C22⋊C4—1662no—
1442C22⋊C4—1662no—
1443C22⋊C4—1662no—
1444C22⋊C4—1662no—
1445C22⋊C4—1662no—
1446C42—22no—
1447C42—22no—
1448C42—41no—
1449C42—41no—
1450C42—3321no—
1451C42—3321no—
1452C42—3321no—
1453C42—834no—
1454C42—1662no—
1455C42—1662no—
1456C42—1662no—
1457C42—1662no—
1458C42—1662no—
1459C42—1662no—
1460C42—1662no—
1461C42—1662no—
1462C42—1662no—
1463C42—1662no—
1464C42—1662no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—3324no—
1486C23—3324no—
1487C23—3324no—
1488C23—3324no—
1489C23—3324no—
1490C23—3324no—
1491C23—832no—
1492C23—832no—
1493C23—832no—
1494C23—832no—
1495C23—832no—
1496C23—1668no—
1497C23—1661no—
1498C23—1661no—
1499C23—1661no—
1500C23—1661no—
1501C23—1661no—
1502C23—1661no—
1503C23—1661no—
1504C23—1661no—
1505C23—1661no—
1506C23—1661no—
1507C23—1661no—
1508C23—1661no—
1509C23—1661no—
1510C23—1661no—
1511C23—1661no—
1512C23—1661no—
1513C23#41×D8312yes—
1514C23C24×D8311yescharacteristic
1515Q8—3324no—
1516Q8—3324no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—3324no—
1521D4—3324no—
1522D4—3324no—
1523D4—3324no—
1524D4—3324no—
1525D4—3324no—
1526D4—3324no—
1527D4—3324no—
1528D4—1668no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—44no—
1560C2×C4—3324no—
1561C2×C4—3324no—
1562C2×C4—3324no—
1563C2×C4—3324no—
1564C2×C4—3324no—
1565C2×C4—3324no—
1566C2×C4—3324no—
1567C2×C4—3324no—
1568C2×C4—3324no—
1569C2×C4—3324no—
1570C2×C4—3324no—
1571C2×C4—832no—
1572C2×C4—832no—
1573C2×C4—832no—
1574C2×C4—832no—
1575C2×C4—832no—
1576C2×C4—832no—
1577C2×C4—832no—
1578C2×C4—832no—
1579C2×C4—1668no—
1580C2×C4—1668no—
1581C2×C4—1661no—
1582C2×C4—1661no—
1583C2×C4—1661no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4—1661no—
1589C2×C4—1661no—
1590C2×C4—1661no—
1591C2×C4—1661no—
1592C2×C4—1661no—
1593C2×C4—1661no—
1594C2×C4—1661no—
1595C2×C4—1661no—
1596C2×C4—1661no—
1597C2×C4—1661no—
1598C2×C4—1661no—
1599C2×C4—1661no—
1600C2×C4—1661no—
1601C2×C4—1661no—
1602C2×C4—1668no—
1603C2×C4—1661no—
1604C2×C4—1661no—
1605C2×C4—1661no—
1606C2×C4—1661no—
1607C2×C4—1661no—
1608C2×C4—1661no—
1609C2×C4—1661no—
1610C2×C4—1661no—
1611C2×C4—1661no—
1612C2×C4—1661no—
1613C2×C4C2×D4×D8312yes—
1614C2×C4C2×D4×D8312yes—
1615C2×C4C2×D4×D8312yes—
1616C2×C4#41×D8312yes—
1617C2×C4#41×D8312yes—
1618C2×C4#41×D8312yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—33216no—
1641C22—3321no—
1642C22—3321no—
1643C22—3321no—
1644C22—3321no—
1645C22—3321no—
1646C22—3321no—
1647C22—3321no—
1648C22—3321no—
1649C22—834no—
1650C22—1662no—
1651C22—1662no—
1652C22—1662no—
1653C22—1662no—
1654C22—1662no—
1655C22—1662no—
1656C22—1662no—
1657C22—1662no—
1658C22—1662no—
1659C22—1662no—
1660C22—1662no—
1661C22—1662no—
1662C22C22×D4×D8311yescharacteristic
1663C22C2×#41×D8311yescharacteristic
1664C22C2×#41×D8311yescharacteristic
1665C22C2×#41×D8311yescharacteristic
1666C22C2×#41×D8311yescharacteristic
1667C22H(5,𝔽2)×D8311yescharacteristic
1668C22#1912853611yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—3321no—
1682C4—3321no—
1683C4—3321no—
1684C4—3321no—
1685C4—3321no—
1686C4—3321no—
1687C4—3321no—
1688C4—834no—
1689C4—1662no—
1690C4—1662no—
1691C4—1662no—
1692C4—1662no—
1693C4—1662no—
1694C2—42no—
1695C2—81no—
1696C2—81no—
1697C2—3322no—
1698C2—3322no—
1699C2—1664no—
1700C2#532×D8311yescharacteristic
1701C2#2492075711yescharacteristic
1702C2#2492087411yescharacteristic
1703C2#546×D8311yescharacteristic
1704C2#2492095311yescharacteristic
1705C2#2492101811yescharacteristic
1706C2#2492107011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2554C2
hypercenter#2554D83
hypocenterC83#34829
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2554

Complements

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

NH ≅ G/Ntype
1. C2×#19128234C2semidirect
2. C2×#19128209C2semidirect
3. #24912605C2semidirect
4. #24912598C2semidirect
5. #24912573C2semidirect
6. #24912566C2semidirect
7. #24912541C2semidirect
8. #24912537C2semidirect
9. #24912508C2semidirect
10. #24912470C2semidirect
11. #24912426C2semidirect
12. #24912388C2semidirect
13. #24912354C2semidirect
14. #24911794C2semidirect
15. #24911595C2semidirect
16. #24911019C2semidirect
17. #24911006C2semidirect
18. #24910738C2semidirect
19. #24910727C2semidirect
20. #24910706C2semidirect
21. #24910675C2semidirect
22. #24910004C2semidirect
23. #24909990C2semidirect
24. #24909979C2semidirect
25. #24909975C2semidirect
26. #24909968C2semidirect
27. #24909950C2semidirect
28. #24909925C2semidirect
29. C4×#14581754C2semidirect
30. C4×C22⋊C4×D83C2semidirect
31. C83×#2554C2semidirect
35. C2×#14581786C22semidirect
36. C2×#14581782C22semidirect
38. C2×#14581778C22semidirect
55. C2×#14581757C22semidirect
58. C2×D4×Dic83C22semidirect
66. C2×(C22⋊D83)⋊C4C22semidirect
67. C2×#14581750C22semidirect
69. C2×#14581748C22semidirect
74. C2×C42×D83C22semidirect
75. #19127642C22semidirect
76. #19127640C22semidirect
79. #19127635C22semidirect
80. #19127634C22semidirect
81. #19127631C22semidirect
82. #19127629C22semidirect
83. #19127628C22semidirect
84. #19127628C22semidirect
87. #19127624C22semidirect
89. #19127622C22semidirect
90. #19127621C22semidirect
95. #19127617C22semidirect
99. #19127613C22semidirect
102. #19127609C22semidirect
103. #19127607C22semidirect
104. #19127606C22semidirect
105. #19127605C22semidirect
110. #19127599C22semidirect
111. #19127599C22semidirect
112. #19127597C22semidirect
113. #19127596C22semidirect
115. #19127595C22semidirect
116. #19127595C22semidirect
117. #19127595C22semidirect
118. #19127595C22semidirect
123. #19127589C22semidirect
124. #19127589C22semidirect
125. #19127586C22semidirect
126. #19127585C22semidirect
135. #19127577C22semidirect
136. #19127577C22semidirect
137. #19127577C22semidirect
142. #19127565C22semidirect
144. #19127560C22semidirect
147. C4⋊C4×Dic83C22semidirect
148. C4⋊C4×Dic83C22semidirect
149. C4⋊C4×Dic83C22semidirect
150. C4⋊C4×Dic83C22semidirect
151. #19127552C22semidirect
155. C22⋊C4×Dic83C22semidirect
156. C22⋊C4×Dic83C22semidirect
157. C22⋊C4×Dic83C22semidirect
158. C22⋊C4×Dic83C22semidirect
162. C4×(C2×D83)⋊C4C22semidirect
169. #19127548C22semidirect
170. #19127548C22semidirect
173. C42×Dic83C22semidirect
174. C2×#126×C83C22semidirect
176. #398×C83C22semidirect
178. #394×C83C22semidirect
182. #390×C83C22semidirect
183. #388×C83C22semidirect
184. #388×C83C22semidirect
185. #388×C83C22semidirect
187. C4×C4⋊C4×C83C22semidirect
246. #14581754D4semidirect
490. C2×C4×D83#41semidirect
542. (C2×D83)⋊C4#41semidirect
543. (C2×D83)⋊C4#41semidirect
862. #2554D83semidirect
885. C83#34829semidirect
890. C2×#126C2×D83semidirect
938. #398C2×D83semidirect
956. #394C2×D83semidirect
972. #390C2×D83semidirect
988. #388C2×D83semidirect
989. #388C2×D83semidirect
990. #388C2×D83semidirect
1019. C4×C4⋊C4C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282342
C2×#191282092
#249126052
#249125982
#249125732
#249125662
#249125412
#249125372
#249125082
#249124702
#249124262
#249123882
#249123542
#249117942
#249115952
#249110192
#249110062
#249107382
#249107272
#249107062
#249106752
#249100042
#249099902
#249099792
#249099752
#249099682
#249099502
#249099252
C4×#145817542
C4×C22⋊C4×D832
C83×#25542
#3482983