Finite Group Databasebeta

← #34500986

Subgroups — #34500986

Order 20224.

2000 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771727C211yesmaximal, characteristic, complemented
2#23771704C211yesmaximal, characteristic, complemented
3#23771310C211yesmaximal, characteristic, complemented
4#23771025C211yesmaximal, characteristic, complemented
5#23770885C211yesmaximal, characteristic, complemented
6#23770736C211yesmaximal, characteristic, complemented
7#23770729C211yesmaximal, characteristic, complemented
8#23770682C211yesmaximal, characteristic, complemented
9#23770135C211yesmaximal, characteristic, complemented
10#23770045C211yesmaximal, characteristic, complemented
11#23770035C211yesmaximal, characteristic, complemented
12#23769797C211yesmaximal, characteristic, complemented
13#23769700C211yesmaximal, characteristic, complemented
14#23769673C211yesmaximal, characteristic, complemented
15#23769643C211yesmaximal, characteristic, complemented
16#23769620C211yesmaximal, characteristic, complemented
17#23769616C211yesmaximal, characteristic, complemented
18#23769610C211yesmaximal, characteristic, complemented
19#23769526C211yesmaximal, characteristic, complemented
20#23768934C211yesmaximal, characteristic, complemented
21#23768467C211yesmaximal, characteristic, complemented
22#23767413C211yesmaximal, characteristic, complemented
23#23767290C211yesmaximal, characteristic, complemented
24#23767281C211yesmaximal, characteristic, complemented
25#23767162C211yesmaximal, characteristic, complemented
26#23766935C211yesmaximal, characteristic, complemented
27#23766867C211yesmaximal, characteristic, complemented
28#23766212C211yesmaximal, characteristic, complemented
29#23766053C211yesmaximal, characteristic, complemented
30C4×#14579134C211yesmaximal, characteristic, complemented
31C79×#2653C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic
33C2×#14579154C2211yescharacteristic
34C2×#14579150C2211yescharacteristic
35C2×#14579150C2211yescharacteristic
36C2×#14579146C2211yescharacteristic, complemented
37C2×#14579146C2211yescharacteristic, complemented
38C2×#14579144C2211yescharacteristic, complemented
39C2×#14579143C2211yescharacteristic
40C2×#14579143C2211yescharacteristic, complemented
41C2×#14579137C2211yescharacteristic, complemented
42C2×#14579136C2211yescharacteristic
43C2×#14579136C2211yescharacteristic
44C2×#14579136C2211yescharacteristic, complemented
45C2×#14579135C2211yescharacteristic
46C2×#14579134C2211yescharacteristic
47C2×#14579134C2211yescharacteristic
48C2×#14579134C2211yescharacteristic
49C2×#14579131C2211yescharacteristic
50C2×#14579131C2211yescharacteristic
51C2×#14579131C2211yescharacteristic
52C2×#14579129C2211yescharacteristic
53C2×C4×D316C2211yescharacteristic
54C2×#14579123C2211yescharacteristic
55C2×C4×C22⋊D79C2211yescharacteristic
56C2×C4×C22⋊D79C2211yescharacteristic, complemented
57C2×C22⋊C4×D79C2211yescharacteristic
58C2×C42×D79C2211yescharacteristic, complemented
59#19098504C2211yescharacteristic, complemented
60#19098504C2211yescharacteristic, complemented
61#19098500C2211yescharacteristic
62#19098498C2211yescharacteristic
63#19098498C2211yescharacteristic
64#19098496C2211yescharacteristic, complemented
65#19098495C2211yescharacteristic, complemented
66#19098493C2211yescharacteristic, complemented
67#19098492C2211yescharacteristic
68#19098490C2211yescharacteristic, complemented
69#19098488C2211yescharacteristic
70#19098487C2211yescharacteristic, complemented
71#19098486C2211yescharacteristic
72#19098485C2211yescharacteristic
73#19098481C2211yescharacteristic
74#19098481C2211yescharacteristic
75#19098481C2211yescharacteristic
76#19098481C2211yescharacteristic
77#19098481C2211yescharacteristic, complemented
78#19098480C2211yescharacteristic
79#19098479C2211yescharacteristic
80#19098479C2211yescharacteristic
81#19098479C2211yescharacteristic, complemented
82#19098479C2211yescharacteristic, complemented
83#19098478C2211yescharacteristic
84#19098478C2211yescharacteristic
85#19098478C2211yescharacteristic
86#19098478C2211yescharacteristic
87#19098477C2211yescharacteristic
88#19098473C2211yescharacteristic
89#19098473C2211yescharacteristic
90#19098473C2211yescharacteristic
91#19098473C2211yescharacteristic
92#19098472C2211yescharacteristic
93#19098472C2211yescharacteristic
94#19098472C2211yescharacteristic
95#19098472C2211yescharacteristic
96#19098472C2211yescharacteristic, complemented
97#19098472C2211yescharacteristic, complemented
98#19098471C2211yescharacteristic
99#19098470C2211yescharacteristic, complemented
100#19098465C2211yescharacteristic
101#19098465C2211yescharacteristic, complemented
102#19098463C2211yescharacteristic
103#19098463C2211yescharacteristic
104#19098463C2211yescharacteristic
105#19098463C2211yescharacteristic
106#19098463C2211yescharacteristic
107#19098463C2211yescharacteristic
108#19098463C2211yescharacteristic, complemented
109#19098460C2211yescharacteristic, complemented
110#19098460C2211yescharacteristic, complemented
111#19098460C2211yescharacteristic, complemented
112#19098460C2211yescharacteristic, complemented
113#19098458C2211yescharacteristic, complemented
114#19098457C2211yescharacteristic, complemented
115#19098456C2211yescharacteristic
116#19098456C2211yescharacteristic, complemented
117#19098455C2211yescharacteristic, complemented
118#19098455C2211yescharacteristic, complemented
119#19098455C2211yescharacteristic, complemented
120#19098455C2211yescharacteristic, complemented
121#19098455C2211yescharacteristic, complemented
122#19098454C2211yescharacteristic
123#19098454C2211yescharacteristic, complemented
124#19098453C2211yescharacteristic
125#19098453C2211yescharacteristic
126#19098452C2211yescharacteristic
127#19098452C2211yescharacteristic
128#19098452C2211yescharacteristic
129#19098452C2211yescharacteristic
130#19098452C2211yescharacteristic
131#19098452C2211yescharacteristic
132#19098452C2211yescharacteristic
133#19098452C2211yescharacteristic, complemented
134#19098452C2211yescharacteristic, complemented
135#19098452C2211yescharacteristic, complemented
136#19098451C2211yescharacteristic
137#19098445C2211yescharacteristic, complemented
138#19098444C2211yescharacteristic, complemented
139#19098441C2211yescharacteristic
140#19098441C2211yescharacteristic
141#19098441C2211yescharacteristic
142#19098441C2211yescharacteristic
143#19098441C2211yescharacteristic
144#19098441C2211yescharacteristic
145#19098441C2211yescharacteristic
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic, complemented
148#19098441C2211yescharacteristic, complemented
149#19098441C2211yescharacteristic, complemented
150#19098439C2211yescharacteristic
151#19098439C2211yescharacteristic
152#19098439C2211yescharacteristic
153#19098439C2211yescharacteristic, complemented
154#19098439C2211yescharacteristic, complemented
155#19098437C2211yescharacteristic
156#19098437C2211yescharacteristic
157#19098437C2211yescharacteristic
158#19098437C2211yescharacteristic, complemented
159#19098434C2211yescharacteristic, complemented
160#19098434C2211yescharacteristic, complemented
161#19098430C2211yescharacteristic, complemented
162#19098428C2211yescharacteristic, complemented
163#19098422C2211yescharacteristic, complemented
164#19098422C2211yescharacteristic, complemented
165#19098420C2211yescharacteristic
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168C4×Dic79⋊C4C2211yescharacteristic, complemented
169#19098414C2211yescharacteristic, complemented
170C4×(C2×D79)⋊C4C2211yescharacteristic
171#19098410C2211yescharacteristic, complemented
172#401×C79C2211yescharacteristic, complemented
173#398×C79C2211yescharacteristic, complemented
174#397×C79C2211yescharacteristic
175#397×C79C2211yescharacteristic, complemented
176#394×C79C2211yescharacteristic
177#394×C79C2211yescharacteristic
178#393×C79C2211yescharacteristic
179#393×C79C2211yescharacteristic, complemented
180#391×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic
182#388×C79C2211yescharacteristic
183#387×C79C2211yescharacteristic, complemented
184#386×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic, complemented
186C4×C22⋊C4×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C22×D316C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212#14579157—42no—
213#14579154—42no—
214#14579150—24no—
215#14579150—42no—
216#14579146—42no—
217#14579146—42no—
218#14579144—42no—
219#14579143—42no—
220#14579143—42no—
221#14579137—42no—
222#14579136—42no—
223#14579136—42no—
224#14579136—42no—
225#14579135—42no—
226#14579134—24no—
227#14579134—42no—
228#14579134—42no—
229#14579131—24no—
230#14579131—42no—
231#14579131—42no—
232#14579129—42no—
233C4×D316—42no—
234#14579123—42no—
235C4×C22⋊D79—42no—
236C4×C22⋊D79—42no—
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C22⋊C4×D79—42no—
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C42×D79—42no—
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C22×Q8×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337C2×C4⋊C4×C79C2311yescharacteristic
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C42×C79C2311yescharacteristic
354C2×C42×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79—22no—
370C23×D79—41no—
371C23×D79—41no—
372C23×D79—41no—
373C23×D79—41no—
374C23×D79—41no—
375C23×D79—41no—
376C23×D79C2411yescharacteristic
377C23×D79C2411yescharacteristic
378C23×D79C2411yescharacteristic
379C23×D79C2411yescharacteristic
380C23×D79C2411yescharacteristic
381C2×D316—22no—
382C2×D316—22no—
383C2×D316—22no—
384C2×D316—22no—
385C2×D316—22no—
386C2×D316—22no—
387C2×D316—22no—
388C2×D316—22no—
389C2×D316—41no—
390C2×D316—41no—
391C2×D316—41no—
392C2×D316—41no—
393C2×D316—41no—
394C2×D316—41no—
395C2×D316—41no—
396C2×D316—41no—
397C2×D316—41no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316—41no—
404C2×D316—41no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316—41no—
408C2×C22⋊D79—22no—
409C2×C22⋊D79—22no—
410C2×C22⋊D79—22no—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—41no—
416C2×C22⋊D79—41no—
417C2×C22⋊D79—41no—
418C2×C22⋊D79—41no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C2×C22⋊D79—41no—
422C2×C22⋊D79—41no—
423C2×C22⋊D79—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C2×C22⋊D79—41no—
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C2×C4×D79—22no—
444C2×C4×D79—22no—
445C2×C4×D79—22no—
446C2×C4×D79—22no—
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—41no—
456C2×C4×D79—41no—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
460C2×C4×D79—41no—
461C2×C4×D79—41no—
462C2×C4×D79—41no—
463C2×C4×D79—41no—
464C4⋊Dic79—41no—
465C4⋊Dic79—41no—
466C4⋊Dic79—41no—
467C4⋊Dic79—41no—
468C4⋊Dic79—41no—
469C4⋊Dic79—41no—
470Dic79⋊C4—22no—
471Dic79⋊C4—22no—
472Dic79⋊C4—22no—
473Dic79⋊C4—22no—
474Dic79⋊C4—22no—
475Dic79⋊C4—22no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482Dic79⋊C4—41no—
483Dic79⋊C4—41no—
484C22⋊Dic79—22no—
485C22⋊Dic79—22no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—22no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518(C2×D79)⋊C4—41no—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4—41no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4—41no—
523(C2×D79)⋊C4—41no—
524(C2×D79)⋊C4—41no—
525(C2×D79)⋊C4—41no—
526(C2×D79)⋊C4—41no—
527(C2×D79)⋊C4—41no—
528(C2×D79)⋊C4—41no—
529(C2×D79)⋊C4—41no—
530(C2×D79)⋊C4#4114yes—
531C4×Dic79—22no—
532C4×Dic79—22no—
533C4×Dic79—22no—
534C4×Dic79—41no—
535C4×Dic79—41no—
536C4×Dic79—41no—
537C4×Dic79—41no—
538C4×Dic79—41no—
539C24×C79C2411yescharacteristic
540C24×C79C2411yescharacteristic
541C2×Q8×C79—22no—
542C2×Q8×C79—41no—
543C2×Q8×C79—41no—
544C2×D4×C79—41no—
545C2×D4×C79—41no—
546C2×D4×C79—41no—
547C22×C4×C79—22no—
548C22×C4×C79—41no—
549C22×C4×C79—41no—
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C22×C4×C79C2411yescharacteristic
562C22×C4×C79C2411yescharacteristic
563C4⋊C4×C79—22no—
564C4⋊C4×C79—41no—
565C4⋊C4×C79—41no—
566C4⋊C4×C79—41no—
567C4⋊C4×C79—41no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—22no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79—41no—
579C42×C79—41no—
580C42×C79—41no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79C2511yescharacteristic
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—44no—
630C22×D79—82no—
631C22×D79—82no—
632C22×D79—82no—
633C22×D79—82no—
634C22×D79—82no—
635C22×D79—82no—
636C22×D79C2×#4112yes—
637C22×D79H(5,𝔽2)12yes—
638Q8×C79—82no—
639D4×C79—82no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—82no—
678C2×C4×C79C2×#4112yes—
679C2×C4×C79H(5,𝔽2)12yes—
680C22⋊D79—44no—
681C22⋊D79—44no—
682C22⋊D79—82no—
683C22⋊D79—82no—
684C22⋊D79—82no—
685C22⋊D79—82no—
686C22⋊D79—82no—
687C22⋊D79—82no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79C2×#4112yes—
719C2×Dic79H(5,𝔽2)12yes—
720C2×Dic79H(5,𝔽2)12yes—
721D316—44no—
722D316—44no—
723D316—82no—
724D316—82no—
725D316—82no—
726D316—82no—
727D316—82no—
728D316—82no—
729D316—82no—
730C4×D79—44no—
731C4×D79—44no—
732C4×D79—44no—
733C4×D79—82no—
734C4×D79—82no—
735C4×D79—82no—
736C4×D79—82no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79C22×#4111yescharacteristic
752C22×C79C2×H(5,𝔽2)11yescharacteristic
753C22×C79C2×H(5,𝔽2)11yescharacteristic
754C22×C79C2×H(5,𝔽2)11yescharacteristic
755C22×C79C2×H(5,𝔽2)11yescharacteristic
756C22×C79#58511yescharacteristic
757C22×C79#58511yescharacteristic
758C2×D79—22no—
759C2×D79—22no—
760C2×D79—22no—
761C2×D79—22no—
762C2×D79—22no—
763C2×D79—22no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—41no—
779C2×D79—41no—
780C2×D79—41no—
781C2×D79—41no—
782C2×D79—41no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—88no—
794C4×C79—22no—
795C4×C79—22no—
796C4×C79—41no—
797C4×C79—41no—
798C4×C79—41no—
799C4×C79—41no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807Dic79—22no—
808Dic79—22no—
809Dic79—22no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818#36926—791nomaximal, Sylow
819C2×C79—81no—
820C2×C79—81no—
821C2×C79#346011yescharacteristic
822C2×C79#351311yescharacteristic
823C2×C79#351911yescharacteristic
824C2×C79#353311yescharacteristic
825C2×C79#353711yescharacteristic
826C2×C79#354611yescharacteristic
827C2×C79#355811yescharacteristic
828D79—42no—
829D79—42no—
830D79—81no—
831D79—81no—
832D79—81no—
833#2854—791no—
834#2850—791no—
835#2801—791no—
836#2778—791no—
837#2768—791no—
838#2757—791no—
839#2756—791no—
840#2753—791no—
841#2710—791no—
842#2703—791no—
843#2702—791no—
844#2685—791no—
845#2676—791no—
846#2673—791no—
847#2671—791no—
848#2670—791no—
849#2669—791no—
850#2668—791no—
851#2661—791no—
852#2653D7911yescharacteristic, complemented
853#2596—791no—
854#2554—791no—
855#2464—791no—
856#2456—791no—
857#2455—791no—
858#2445—791no—
859#2424—791no—
860#2418—791no—
861#2337—791no—
862#2321—791no—
863C4×#121—791no—
864C79#3692611yescharacteristic, complemented, Sylow
865C2×#127—791no—
866C2×#126—791no—
867C2×#124—791no—
868C2×#124—791no—
869C2×#123—791no—
870C2×#123—791no—
871C2×#123—791no—
872C2×#123—791no—
873C2×#123—791no—
874C2×C22⋊Q8—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#121—791no—
878C2×#121—791no—
879C2×#121—791no—
880C2×#121—791no—
881C2×#121—791no—
882C2×#120—791no—
883C2×#120—791no—
884C2×#120—791no—
885C2×#120—791no—
886C2×C4×D4—791no—
887C2×C4×D4—791no—
888C2×C4×D4—791no—
889C2×C4×D4—791no—
890C22×C22⋊C4—791no—
891C22×C42—791no—
892#401C2×D7911yescharacteristic, complemented
893#400—791no—
894#400—791no—
895#399—791no—
896#399—791no—
897#399—791no—
898#398—791no—
899#398—791no—
900#398—791no—
901#398C2×D7911yescharacteristic, complemented
902#397—791no—
903#397—791no—
904#397—791no—
905#397C2×D7911yescharacteristic
906#397C2×D7911yescharacteristic, complemented
907#396—791no—
908#396—791no—
909#396—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394—791no—
925#394C2×D7911yescharacteristic
926#394C2×D7911yescharacteristic
927#393C2×D7911yescharacteristic
928#393C2×D7911yescharacteristic, complemented
929#392—791no—
930#392—791no—
931#392—791no—
932#392—791no—
933#392—791no—
934#392—791no—
935#392—791no—
936#392—791no—
937#392—791no—
938#392—791no—
939#392—791no—
940#391—791no—
941#391C2×D7911yescharacteristic, complemented
942#390—791no—
943#390—791no—
944#390—791no—
945#390—791no—
946#390—791no—
947#390—791no—
948#390—791no—
949#390—791no—
950#390—791no—
951#389—791no—
952#389—791no—
953#389—791no—
954#389—791no—
955#389—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388—791no—
973#388—791no—
974#388—791no—
975#388—791no—
976#388—791no—
977#388—791no—
978#388—791no—
979#388C2×D7911yescharacteristic
980#388C2×D7911yescharacteristic
981#387—791no—
982#387—791no—
983#387C2×D7911yescharacteristic, complemented
984#386—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#386—791no—
1000#386C2×D7911yescharacteristic
1001#385—791no—
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385C2×D7911yescharacteristic, complemented
1008#383—791no—
1009#382—791no—
1010#380—791no—
1011#380—791no—
1012#380—791no—
1013#379—791no—
1014#379—791no—
1015C4×C4⋊C4—791no—
1016C4×C4⋊C4—791no—
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4—791no—
1019C4×C22⋊C4C2×D7911yescharacteristic, complemented
1020C25—791no—
1021C22×Q8C22×D7911yescharacteristic
1022C22×D4—791no—
1023C22×D4—791no—
1024C22×D4—791no—
1025C22×D4—791no—
1026C22×D4—791no—
1027C22×D4—791no—
1028C22×D4—791no—
1029C22×D4—791no—
1030C22×D4—791no—
1031C22×D4—791no—
1032C22×D4—791no—
1033C22×D4—791no—
1034C22×D4—791no—
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4C22×D7911yescharacteristic
1040C23×C4—791no—
1041C23×C4—791no—
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4—791no—
1047C23×C4C22×D7911yescharacteristic
1048#127—3162no—
1049#126—3162no—
1050#124—3162no—
1051#124—1584no—
1052#123—3162no—
1053#123—3162no—
1054#123—3162no—
1055#123—3162no—
1056#123—3162no—
1057C22⋊Q8—3162no—
1058#121—3162no—
1059#121—3162no—
1060#121—3162no—
1061#121—3162no—
1062#121—3162no—
1063#121—3162no—
1064#121—1584no—
1065#120—3162no—
1066#120—3162no—
1067#120—3162no—
1068#120—1584no—
1069C4×D4—3162no—
1070C4×D4—3162no—
1071C4×D4—3162no—
1072C4×D4—3162no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4C22×D7911yescharacteristic
1094C2×C4⋊C4C22×D7911yescharacteristic
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4—3162no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C22⋊C4C22×D7911yescharacteristic
1152C2×C22⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4C22×D7911yescharacteristic
1154C2×C22⋊C4C22×D7911yescharacteristic
1155C2×C22⋊C4C22×D7911yescharacteristic
1156C2×C22⋊C4C22×D7911yescharacteristic
1157C2×C42—3162no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42—791no—
1165C2×C42—791no—
1166C2×C42C22×D7911yescharacteristic
1167C2×C42C22×D7911yescharacteristic
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
1188#95C22×D7911yescharacteristic
1189#95C22×D7911yescharacteristic
1190#95C22×D7911yescharacteristic
1191#95C22×D7911yescharacteristic
1192#95C22×D7911yescharacteristic
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195#95C22×D7911yescharacteristic
1196#95C22×D7911yescharacteristic
1197#95C22×D7911yescharacteristic
1198#95C22×D7911yescharacteristic
1199#95C22×D7911yescharacteristic
1200#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
1202C24—3161no—
1203C24—3161no—
1204C24—3161no—
1205C24—3161no—
1206C24—3161no—
1207C24—3161no—
1208C24—791no—
1209C24—791no—
1210C24—791no—
1211C24—791no—
1212C24—791no—
1213C24—1582no—
1214C24C23×D7911yescharacteristic
1215C24C23×D7911yescharacteristic
1216C2×Q8—22no—
1217C2×Q8—41no—
1218C2×Q8—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—3161no—
1230C2×D4—3161no—
1231C2×D4—3161no—
1232C2×D4—3161no—
1233C2×D4—3161no—
1234C2×D4—3161no—
1235C2×D4—3161no—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—3161no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—3161no—
1252C2×D4—3161no—
1253C2×D4—3161no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—1582no—
1259C2×D4—1582no—
1260C2×D4—1582no—
1261C2×D4—1582no—
1262C2×D4—1582no—
1263C2×D4—1582no—
1264C2×D4—1582no—
1265C2×D4—1582no—
1266C2×D4—1582no—
1267C2×D4—1582no—
1268C2×D4—1582no—
1269C2×D4—1582no—
1270C2×D4—1582no—
1271C2×D4—1582no—
1272C2×D4—1582no—
1273C22×C4—22no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—3161no—
1277C22×C4—3161no—
1278C22×C4—3161no—
1279C22×C4—3161no—
1280C22×C4—3161no—
1281C22×C4—3161no—
1282C22×C4—3161no—
1283C22×C4—3161no—
1284C22×C4—3161no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—3161no—
1291C22×C4—791no—
1292C22×C4—791no—
1293C22×C4—791no—
1294C22×C4—791no—
1295C22×C4—791no—
1296C22×C4—791no—
1297C22×C4—791no—
1298C22×C4—791no—
1299C22×C4—791no—
1300C22×C4—791no—
1301C22×C4—791no—
1302C22×C4—1582no—
1303C22×C4—1582no—
1304C22×C4—1582no—
1305C22×C4—1582no—
1306C22×C4—1582no—
1307C22×C4—1582no—
1308C22×C4C23×D7911yescharacteristic
1309C22×C4C23×D7911yescharacteristic
1310C22×C4C23×D7911yescharacteristic
1311C22×C4C23×D7911yescharacteristic
1312C22×C4C23×D7911yescharacteristic
1313C22×C4C23×D7911yescharacteristic
1314C22×C4C23×D7911yescharacteristic
1315C22×C4C23×D7911yescharacteristic
1316C22×C4C23×D7911yescharacteristic
1317C22×C4C23×D7911yescharacteristic
1318C22×C4C23×D7911yescharacteristic
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7911yescharacteristic
1321C4⋊C4—22no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—3161no—
1327C4⋊C4—3161no—
1328C4⋊C4—3161no—
1329C4⋊C4—3161no—
1330C4⋊C4—3161no—
1331C4⋊C4—3161no—
1332C4⋊C4—3161no—
1333C4⋊C4—3161no—
1334C4⋊C4—3161no—
1335C4⋊C4—3161no—
1336C4⋊C4—3161no—
1337C4⋊C4—3161no—
1338C4⋊C4—3161no—
1339C4⋊C4—3161no—
1340C4⋊C4—1582no—
1341C4⋊C4—1582no—
1342C4⋊C4—1582no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—3161no—
1373C22⋊C4—3161no—
1374C22⋊C4—3161no—
1375C22⋊C4—3161no—
1376C22⋊C4—3161no—
1377C22⋊C4—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—3161no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—3161no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—794no—
1387C22⋊C4—1582no—
1388C22⋊C4—1582no—
1389C22⋊C4—1582no—
1390C22⋊C4—1582no—
1391C22⋊C4—1582no—
1392C22⋊C4—1582no—
1393C22⋊C4—1582no—
1394C22⋊C4—1582no—
1395C22⋊C4—1582no—
1396C22⋊C4—1582no—
1397C22⋊C4—1582no—
1398C22⋊C4—1582no—
1399C22⋊C4—1582no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4—1582no—
1403C22⋊C4—1582no—
1404C42—41no—
1405C42—41no—
1406C42—3161no—
1407C42—3161no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—1582no—
1412C42—1582no—
1413C42—1582no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—3164no—
1429C23—792no—
1430C23—792no—
1431C23—6322no—
1432C23—6322no—
1433C23—6322no—
1434C23—6322no—
1435C23—6322no—
1436C23—6322no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23—1581no—
1446C23—1581no—
1447C23—1581no—
1448C23—1581no—
1449C23—1581no—
1450C23—1581no—
1451C23—1581no—
1452C23—1581no—
1453C23—1581no—
1454C23—1581no—
1455C23—1581no—
1456C23—1581no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23C24×D7911yescharacteristic
1471Q8—82no—
1472D4—82no—
1473D4—3164no—
1474D4—3164no—
1475D4—3164no—
1476D4—3164no—
1477D4—6322no—
1478D4—6322no—
1479D4—6322no—
1480D4—6322no—
1481D4—6322no—
1482D4—6322no—
1483D4—6322no—
1484D4—6322no—
1485D4—6322no—
1486D4—6322no—
1487D4—6322no—
1488D4—6322no—
1489D4—6322no—
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—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—82no—
1528C2×C4—3164no—
1529C2×C4—3164no—
1530C2×C4—3164no—
1531C2×C4—792no—
1532C2×C4—792no—
1533C2×C4—792no—
1534C2×C4—6322no—
1535C2×C4—6322no—
1536C2×C4—6322no—
1537C2×C4—6322no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4#41×D7912yes—
1569C2×C4#1457920712yes—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—3161no—
1585C22—3161no—
1586C22—3161no—
1587C22—3161no—
1588C22—3161no—
1589C22—3161no—
1590C22—3161no—
1591C22—3161no—
1592C22—3161no—
1593C22—3161no—
1594C22—3161no—
1595C22—3161no—
1596C22—3161no—
1597C22—3161no—
1598C22—3161no—
1599C22—3161no—
1600C22—3161no—
1601C22—3161no—
1602C22—3161no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—6328no—
1614C22—1582no—
1615C22—1582no—
1616C22—1582no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22C2×#41×D7911yescharacteristic
1621C22H(5,𝔽2)×D7911yescharacteristic
1622C22H(5,𝔽2)×D7911yescharacteristic
1623C22H(5,𝔽2)×D7911yescharacteristic
1624C22C2×#1457920711yescharacteristic
1625C22#1909939911yescharacteristic
1626C22#1909940011yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—1582no—
1649C4—1582no—
1650C4—1582no—
1651C2—81no—
1652C2—81no—
1653C2—3162no—
1654C2—3162no—
1655C2—6321no—
1656C2—6321no—
1657C2—6321no—
1658C2#2377682111yescharacteristic
1659C2#2377734611yescharacteristic
1660C2#2377742411yescharacteristic
1661C2#2377757511yescharacteristic
1662C2#2377763211yescharacteristic
1663C2#2377776911yescharacteristic
1664C2#2377791111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2653C2
hypercenter#2653D79
hypocenterC79#36926
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2653

Complements

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

NH ≅ G/Ntype
1. #23771727C2semidirect
2. #23771704C2semidirect
3. #23771310C2semidirect
4. #23771025C2semidirect
5. #23770885C2semidirect
6. #23770736C2semidirect
7. #23770729C2semidirect
8. #23770682C2semidirect
9. #23770135C2semidirect
10. #23770045C2semidirect
11. #23770035C2semidirect
12. #23769797C2semidirect
13. #23769700C2semidirect
14. #23769673C2semidirect
15. #23769643C2semidirect
16. #23769620C2semidirect
17. #23769616C2semidirect
18. #23769610C2semidirect
19. #23769526C2semidirect
20. #23768934C2semidirect
21. #23768467C2semidirect
22. #23767413C2semidirect
23. #23767290C2semidirect
24. #23767281C2semidirect
25. #23767162C2semidirect
26. #23766935C2semidirect
27. #23766867C2semidirect
28. #23766212C2semidirect
29. #23766053C2semidirect
30. C4×#14579134C2semidirect
31. C79×#2653C2semidirect
36. C2×#14579146C22semidirect
37. C2×#14579146C22semidirect
38. C2×#14579144C22semidirect
40. C2×#14579143C22semidirect
41. C2×#14579137C22semidirect
44. C2×#14579136C22semidirect
56. C2×C4×C22⋊D79C22semidirect
58. C2×C42×D79C22semidirect
59. #19098504C22semidirect
60. #19098504C22semidirect
64. #19098496C22semidirect
65. #19098495C22semidirect
66. #19098493C22semidirect
68. #19098490C22semidirect
70. #19098487C22semidirect
77. #19098481C22semidirect
81. #19098479C22semidirect
82. #19098479C22semidirect
96. #19098472C22semidirect
97. #19098472C22semidirect
99. #19098470C22semidirect
101. #19098465C22semidirect
108. #19098463C22semidirect
109. #19098460C22semidirect
110. #19098460C22semidirect
111. #19098460C22semidirect
112. #19098460C22semidirect
113. #19098458C22semidirect
114. #19098457C22semidirect
116. #19098456C22semidirect
117. #19098455C22semidirect
118. #19098455C22semidirect
119. #19098455C22semidirect
120. #19098455C22semidirect
121. #19098455C22semidirect
123. #19098454C22semidirect
133. #19098452C22semidirect
134. #19098452C22semidirect
135. #19098452C22semidirect
137. #19098445C22semidirect
138. #19098444C22semidirect
147. #19098441C22semidirect
148. #19098441C22semidirect
149. #19098441C22semidirect
153. #19098439C22semidirect
154. #19098439C22semidirect
158. #19098437C22semidirect
159. #19098434C22semidirect
160. #19098434C22semidirect
161. #19098430C22semidirect
162. #19098428C22semidirect
163. #19098422C22semidirect
164. #19098422C22semidirect
168. C4×Dic79⋊C4C22semidirect
169. #19098414C22semidirect
171. #19098410C22semidirect
172. #401×C79C22semidirect
173. #398×C79C22semidirect
175. #397×C79C22semidirect
179. #393×C79C22semidirect
180. #391×C79C22semidirect
183. #387×C79C22semidirect
185. #385×C79C22semidirect
186. C4×C22⋊C4×C79C22semidirect
852. #2653D79semidirect
864. C79#36926semidirect
892. #401C2×D79semidirect
901. #398C2×D79semidirect
906. #397C2×D79semidirect
928. #393C2×D79semidirect
941. #391C2×D79semidirect
983. #387C2×D79semidirect
1007. #385C2×D79semidirect
1019. C4×C22⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237717272
#237717042
#237713102
#237710252
#237708852
#237707362
#237707292
#237706822
#237701352
#237700452
#237700352
#237697972
#237697002
#237696732
#237696432
#237696202
#237696162
#237696102
#237695262
#237689342
#237684672
#237674132
#237672902
#237672812
#237671622
#237669352
#237668672
#237662122
#237660532
C4×#145791342
C79×#26532
#3692679