Finite Group Databasebeta

← #34500748

Subgroups — #34500748

Order 20224.

2004 conjugacy classes of subgroups.

The subgroup lattice has 1668 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#23771328C211yesmaximal, characteristic, complemented
4#23771105C211yesmaximal, characteristic, complemented
5#23771082C211yesmaximal, characteristic, complemented
6#23771078C211yesmaximal, characteristic, complemented
7#23770424C211yesmaximal, characteristic, complemented
8#23770086C211yesmaximal, characteristic, complemented
9#23770038C211yesmaximal, characteristic, complemented
10#23769948C211yesmaximal, characteristic, complemented
11#23769895C211yesmaximal, characteristic, complemented
12#23769783C211yesmaximal, characteristic, complemented
13#23769751C211yesmaximal, characteristic, complemented
14#23769732C211yesmaximal, characteristic, complemented
15#23769718C211yesmaximal, characteristic, complemented
16#23769696C211yesmaximal, characteristic, complemented
17#23769665C211yesmaximal, characteristic, complemented
18#23769616C211yesmaximal, characteristic, complemented
19#23769287C211yesmaximal, characteristic, complemented
20#23769256C211yesmaximal, characteristic, complemented
21#23768268C211yesmaximal, characteristic, complemented
22#23768168C211yesmaximal, characteristic, complemented
23#23768058C211yesmaximal, characteristic, complemented
24#23767528C211yesmaximal, characteristic, complemented
25#23767410C211yesmaximal, characteristic, complemented
26#23767365C211yesmaximal, characteristic, complemented
27#23766930C211yesmaximal, characteristic, complemented
28#23766121C211yesmaximal, characteristic, complemented
29#23766060C211yesmaximal, characteristic, complemented
30C4×#14579132C211yesmaximal, characteristic, complemented
31C79×#2459C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic
33C2×#14579150C2211yescharacteristic
34C2×#14579147C2211yescharacteristic
35C2×#14579146C2211yescharacteristic
36C2×#14579145C2211yescharacteristic
37C2×#14579143C2211yescharacteristic, complemented
38C2×#14579143C2211yescharacteristic, complemented
39C2×#14579141C2211yescharacteristic, complemented
40C2×#14579138C2211yescharacteristic
41C2×#14579137C2211yescharacteristic, complemented
42C2×#14579136C2211yescharacteristic
43C2×#14579135C2211yescharacteristic
44C2×#14579134C2211yescharacteristic
45C2×#14579133C2211yescharacteristic
46C2×#14579133C2211yescharacteristic
47C2×#14579132C2211yescharacteristic
48C2×#14579131C2211yescharacteristic
49C2×#14579131C2211yescharacteristic
50C2×#14579129C2211yescharacteristic
51C2×#14579129C2211yescharacteristic
52C2×C4×C22⋊D79C2211yescharacteristic
53C2×C4×C22⋊D79C2211yescharacteristic, complemented
54C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
55C22×(C2×D79)⋊C4C2211yescharacteristic
56C2×C42×D79C2211yescharacteristic, complemented
57#19098503C2211yescharacteristic, complemented
58#19098503C2211yescharacteristic, complemented
59#19098502C2211yescharacteristic, complemented
60#19098500C2211yescharacteristic, complemented
61#19098497C2211yescharacteristic, complemented
62#19098495C2211yescharacteristic, complemented
63#19098492C2211yescharacteristic
64#19098492C2211yescharacteristic
65#19098491C2211yescharacteristic
66#19098491C2211yescharacteristic, complemented
67#19098490C2211yescharacteristic
68#19098490C2211yescharacteristic
69#19098486C2211yescharacteristic
70#19098486C2211yescharacteristic, complemented
71#19098485C2211yescharacteristic
72#19098485C2211yescharacteristic
73#19098484C2211yescharacteristic, complemented
74#19098481C2211yescharacteristic
75#19098480C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098479C2211yescharacteristic
80#19098479C2211yescharacteristic, complemented
81#19098479C2211yescharacteristic, complemented
82#19098478C2211yescharacteristic
83#19098478C2211yescharacteristic
84#19098478C2211yescharacteristic
85#19098478C2211yescharacteristic
86#19098476C2211yescharacteristic
87#19098476C2211yescharacteristic, complemented
88#19098475C2211yescharacteristic, complemented
89#19098474C2211yescharacteristic
90#19098473C2211yescharacteristic
91#19098472C2211yescharacteristic
92#19098472C2211yescharacteristic
93#19098472C2211yescharacteristic
94#19098472C2211yescharacteristic
95#19098472C2211yescharacteristic
96#19098472C2211yescharacteristic
97#19098472C2211yescharacteristic, complemented
98#19098471C2211yescharacteristic
99#19098471C2211yescharacteristic, complemented
100#19098471C2211yescharacteristic, complemented
101#19098470C2211yescharacteristic, complemented
102#19098466C2211yescharacteristic
103#19098465C2211yescharacteristic
104#19098465C2211yescharacteristic
105#19098465C2211yescharacteristic
106#19098463C2211yescharacteristic
107#19098463C2211yescharacteristic
108#19098463C2211yescharacteristic
109#19098463C2211yescharacteristic
110#19098463C2211yescharacteristic, complemented
111#19098460C2211yescharacteristic, complemented
112#19098459C2211yescharacteristic, complemented
113#19098458C2211yescharacteristic, complemented
114#19098456C2211yescharacteristic, complemented
115#19098455C2211yescharacteristic
116#19098455C2211yescharacteristic
117#19098455C2211yescharacteristic
118#19098455C2211yescharacteristic
119#19098455C2211yescharacteristic
120#19098455C2211yescharacteristic, complemented
121#19098454C2211yescharacteristic
122#19098454C2211yescharacteristic
123#19098454C2211yescharacteristic
124#19098454C2211yescharacteristic, complemented
125#19098454C2211yescharacteristic, complemented
126#19098453C2211yescharacteristic
127#19098452C2211yescharacteristic
128#19098452C2211yescharacteristic
129#19098452C2211yescharacteristic
130#19098452C2211yescharacteristic, complemented
131#19098452C2211yescharacteristic, complemented
132#19098451C2211yescharacteristic
133#19098451C2211yescharacteristic, complemented
134#19098451C2211yescharacteristic, complemented
135#19098450C2211yescharacteristic, complemented
136#19098447C2211yescharacteristic, complemented
137#19098445C2211yescharacteristic, complemented
138#19098443C2211yescharacteristic
139#19098443C2211yescharacteristic
140#19098442C2211yescharacteristic
141#19098442C2211yescharacteristic
142#19098441C2211yescharacteristic
143#19098441C2211yescharacteristic
144#19098441C2211yescharacteristic
145#19098441C2211yescharacteristic
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic, complemented
148#19098441C2211yescharacteristic, complemented
149#19098441C2211yescharacteristic, complemented
150#19098440C2211yescharacteristic
151#19098440C2211yescharacteristic, complemented
152#19098439C2211yescharacteristic
153#19098439C2211yescharacteristic
154#19098439C2211yescharacteristic, complemented
155#19098439C2211yescharacteristic, complemented
156#19098438C2211yescharacteristic
157#19098438C2211yescharacteristic
158#19098438C2211yescharacteristic, complemented
159#19098438C2211yescharacteristic, complemented
160#19098430C2211yescharacteristic, complemented
161#19098429C2211yescharacteristic, complemented
162#19098428C2211yescharacteristic, complemented
163#19098427C2211yescharacteristic, complemented
164#19098422C2211yescharacteristic, complemented
165#19098420C2211yescharacteristic, complemented
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168C4×C4⋊Dic79C2211yescharacteristic, complemented
169C4×C22⋊Dic79C2211yescharacteristic
170C4×C22⋊Dic79C2211yescharacteristic, complemented
171#19098408C2211yescharacteristic, complemented
172C2×#124×C79C2211yescharacteristic, complemented
173C2×C4×D4×C79C2211yescharacteristic
174#394×C79C2211yescharacteristic
175#394×C79C2211yescharacteristic
176#393×C79C2211yescharacteristic
177#392×C79C2211yescharacteristic
178#391×C79C2211yescharacteristic, complemented
179#388×C79C2211yescharacteristic, complemented
180#388×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic, complemented
182#387×C79C2211yescharacteristic, complemented
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic, complemented
185#381×C79C2211yescharacteristic, complemented
186C4×C22⋊C4×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210#14579157—24no—
211#14579150—42no—
212#14579147—42no—
213#14579146—42no—
214#14579145—42no—
215#14579143—42no—
216#14579143—42no—
217#14579141—42no—
218#14579138—42no—
219#14579137—42no—
220#14579136—42no—
221#14579135—42no—
222#14579134—42no—
223#14579133—42no—
224#14579133—42no—
225#14579132—24no—
226#14579131—24no—
227#14579131—42no—
228#14579129—42no—
229#14579129—42no—
230C4×C22⋊D79—42no—
231C4×C22⋊D79—42no—
232(C22⋊D79)⋊C4—42no—
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×(C2×D79)⋊C4—42no—
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×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C42×D79—42no—
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
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
332C22×Q8×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337C23×C4×C79C2311yescharacteristic
338#124×C79—42no—
339C4×D4×C79—42no—
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊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×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C42×C79C2311yescharacteristic
357C2×C42×C79C2311yescharacteristic
358C2×C42×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
380C2×Dic158—41no—
381C2×Dic158—41no—
382C2×Dic158—41no—
383C2×D316—22no—
384C2×D316—22no—
385C2×D316—22no—
386C2×D316—22no—
387C2×D316—41no—
388C2×D316—41no—
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×C22⋊D79—22no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C2×C22⋊D79—41no—
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#4114yes—
428C22×Dic79—41no—
429C22×Dic79—41no—
430C22×Dic79—41no—
431C22×Dic79—41no—
432C22×Dic79—41no—
433C22×Dic79—41no—
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C2×C4×D79—22no—
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—22no—
450C2×C4×D79—22no—
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—
458C4⋊Dic79—22no—
459C4⋊Dic79—22no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462C4⋊Dic79—41no—
463C4⋊Dic79—41no—
464C4⋊Dic79—41no—
465C4⋊Dic79—41no—
466C4⋊Dic79—41no—
467Dic79⋊C4—22no—
468Dic79⋊C4—22no—
469Dic79⋊C4—22no—
470Dic79⋊C4—22no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
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—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
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—
522C4×Dic79—22no—
523C4×Dic79—22no—
524C4×Dic79—22no—
525C4×Dic79—22no—
526C4×Dic79—41no—
527C4×Dic79—41no—
528C4×Dic79—41no—
529C24×C79C2411yescharacteristic
530C24×C79C2411yescharacteristic
531C24×C79C2411yescharacteristic
532C2×Q8×C79—22no—
533C2×Q8×C79—41no—
534C2×Q8×C79—41no—
535C2×D4×C79—22no—
536C2×D4×C79—22no—
537C2×D4×C79—22no—
538C2×D4×C79—41no—
539C2×D4×C79—41no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C2×D4×C79—41no—
543C2×D4×C79—41no—
544C22×C4×C79—22no—
545C22×C4×C79—22no—
546C22×C4×C79—41no—
547C22×C4×C79—41no—
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
562C4⋊C4×C79—22no—
563C4⋊C4×C79—41no—
564C4⋊C4×C79—41no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—22no—
567C22⋊C4×C79—22no—
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—
578C42×C79—22no—
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×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79C2×#4112yes—
602C23×C79C2511yescharacteristic
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—21no—
630C22×D79—44no—
631C22×D79—82no—
632C22×D79—82no—
633C22×D79—82no—
634C22×D79—82no—
635C22×D79—82no—
636C22×D79—82no—
637C22×D79C2×#4112yes—
638Q8×C79—82no—
639D4×C79—44no—
640D4×C79—82no—
641D4×C79—82no—
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—82no—
676C2×C4×C79—82no—
677C2×C4×C79H(5,𝔽2)12yes—
678C2×C4×C79H(5,𝔽2)12yes—
679C2×C4×C79H(5,𝔽2)12yes—
680C22⋊D79—44no—
681C22⋊D79—44no—
682C22⋊D79—44no—
683C22⋊D79—82no—
684C22⋊D79—82no—
685C22⋊D79—82no—
686C22⋊D79—82no—
687C22⋊D79—82no—
688C22⋊D79—82no—
689C22⋊D79—82no—
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×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—82no—
725C2×Dic79—82no—
726C2×Dic79C2×#4112yes—
727C2×Dic79H(5,𝔽2)12yes—
728D316—82no—
729D316—82no—
730D316—82no—
731D316—82no—
732D316—82no—
733C4×D79—44no—
734C4×D79—44no—
735C4×D79—44no—
736C4×D79—82no—
737Dic158—82no—
738C22×C79—22no—
739C22×C79—22no—
740C22×C79—22no—
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×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79C22×#4111yescharacteristic
760C22×C79C2×H(5,𝔽2)11yescharacteristic
761C22×C79C2×H(5,𝔽2)11yescharacteristic
762C22×C79C2×H(5,𝔽2)11yescharacteristic
763C22×C79C2×H(5,𝔽2)11yescharacteristic
764C22×C79#58511yescharacteristic
765C22×C79#58511yescharacteristic
766C2×D79—22no—
767C2×D79—22no—
768C2×D79—22no—
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—41no—
794C2×D79—88no—
795C4×C79—22no—
796C4×C79—22no—
797C4×C79—22no—
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—41no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819#36918—791nomaximal, Sylow
820C2×C79—42no—
821C2×C79—81no—
822C2×C79—81no—
823C2×C79#345911yescharacteristic
824C2×C79#351411yescharacteristic
825C2×C79#351911yescharacteristic
826C2×C79#353411yescharacteristic
827C2×C79#354211yescharacteristic
828C2×C79#354911yescharacteristic
829C2×C79#356211yescharacteristic
830D79—42no—
831D79—81no—
832D79—81no—
833D79—81no—
834#2854—791no—
835#2850—791no—
836#2803—791no—
837#2785—791no—
838#2783—791no—
839#2782—791no—
840#2733—791no—
841#2706—791no—
842#2703—791no—
843#2696—791no—
844#2692—791no—
845#2684—791no—
846#2681—791no—
847#2678—791no—
848#2678—791no—
849#2676—791no—
850#2673—791no—
851#2669—791no—
852#2635—791no—
853#2631—791no—
854#2532—791no—
855#2526—791no—
856#2518—791no—
857#2472—791no—
858#2464—791no—
859#2461—791no—
860#2459D7911yescharacteristic, complemented
861#2424—791no—
862#2328—791no—
863#2321—791no—
864C4×#121—791no—
865C79#3691811yescharacteristic, complemented, Sylow
866C2×#127—791no—
867C2×#124—791no—
868C2×#124—791no—
869C2×#124C2×D7911yescharacteristic, complemented
870C2×#123—791no—
871C2×#123—791no—
872C2×#123—791no—
873C2×#123—791no—
874C2×C22⋊Q8—791no—
875C2×C22⋊Q8—791no—
876C2×C22⋊Q8—791no—
877C2×#121—791no—
878C2×#121—791no—
879C2×#121—791no—
880C2×#121—791no—
881C2×#121—791no—
882C2×#121—791no—
883C2×#120—791no—
884C2×#120—791no—
885C2×#120—791no—
886C2×#120—791no—
887C2×C4×D4—791no—
888C2×C4×D4—791no—
889C2×C4×D4—791no—
890C2×C4×D4C2×D7911yescharacteristic
891C22×C22⋊C4—791no—
892C22×C42—791no—
893#400—791no—
894#400—791no—
895#400—791no—
896#399—791no—
897#398—791no—
898#398—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#397—791no—
904#397—791no—
905#396—791no—
906#396—791no—
907#396—791no—
908#396—791no—
909#395—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#394C2×D7911yescharacteristic
923#394C2×D7911yescharacteristic
924#393—791no—
925#393—791no—
926#393—791no—
927#393—791no—
928#393C2×D7911yescharacteristic
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#392C2×D7911yescharacteristic
941#391—791no—
942#391C2×D7911yescharacteristic, complemented
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#390—791no—
952#389—791no—
953#389—791no—
954#389—791no—
955#388—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#388C2×D7911yescharacteristic, complemented
977#388C2×D7911yescharacteristic, complemented
978#388C2×D7911yescharacteristic, complemented
979#387—791no—
980#387—791no—
981#387—791no—
982#387C2×D7911yescharacteristic, complemented
983#386—791no—
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#386—791no—
1001#386C2×D7911yescharacteristic
1002#386C2×D7911yescharacteristic, complemented
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#383—791no—
1008#382—791no—
1009#382—791no—
1010#382—791no—
1011#381C2×D7911yescharacteristic, complemented
1012#380—791no—
1013#380—791no—
1014#379—791no—
1015#379—791no—
1016C4×C4⋊C4—791no—
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4—791no—
1019C4×C22⋊C4C2×D7911yescharacteristic
1020#376—791no—
1021C25—791no—
1022C22×Q8—791no—
1023C22×Q8C22×D7911yescharacteristic
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
1040C22×D4C22×D7911yescharacteristic
1041C22×D4C22×D7911yescharacteristic
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4—791no—
1047C23×C4—791no—
1048C23×C4C22×D7911yescharacteristic
1049C23×C4C22×D7911yescharacteristic
1050#127—1584no—
1051#124—42no—
1052#124—3162no—
1053#124—3162no—
1054#123—3162no—
1055#123—3162no—
1056#123—3162no—
1057#123—3162no—
1058C22⋊Q8—3162no—
1059C22⋊Q8—3162no—
1060C22⋊Q8—3162no—
1061#121—3162no—
1062#121—3162no—
1063#121—3162no—
1064#121—3162no—
1065#121—3162no—
1066#121—1584no—
1067#120—3162no—
1068#120—3162no—
1069#120—3162no—
1070#120—1584no—
1071C4×D4—42no—
1072C4×D4—3162no—
1073C4×D4—3162no—
1074C4×D4—3162no—
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⋊C4—791no—
1094C2×C4⋊C4C22×D7911yescharacteristic
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C22⋊C4—3162no—
1098C2×C22⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
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×C42—3162no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42C22×D7911yescharacteristic
1165C2×C42C22×D7911yescharacteristic
1166C2×C42C22×D7911yescharacteristic
1167#95—791no—
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#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
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
1202#95C22×D7911yescharacteristic
1203C24—3161no—
1204C24—3161no—
1205C24—3161no—
1206C24—3161no—
1207C24—3161no—
1208C24—3161no—
1209C24—791no—
1210C24—791no—
1211C24—791no—
1212C24—791no—
1213C24—1582no—
1214C24C23×D7911yescharacteristic
1215C24C23×D7911yescharacteristic
1216C24C23×D7911yescharacteristic
1217C2×Q8—22no—
1218C2×Q8—41no—
1219C2×Q8—41no—
1220C2×Q8—3161no—
1221C2×Q8—3161no—
1222C2×Q8—3161no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
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—3161no—
1259C2×D4—3161no—
1260C2×D4—3161no—
1261C2×D4—3161no—
1262C2×D4—3161no—
1263C2×D4—3161no—
1264C2×D4—3161no—
1265C2×D4—3161no—
1266C2×D4—3161no—
1267C2×D4—794no—
1268C2×D4—1582no—
1269C2×D4—1582no—
1270C2×D4—1582no—
1271C2×D4—1582no—
1272C2×D4—1582no—
1273C2×D4—1582no—
1274C2×D4—1582no—
1275C2×D4—1582no—
1276C2×D4—1582no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
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—3161no—
1292C22×C4—3161no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—791no—
1297C22×C4—791no—
1298C22×C4—791no—
1299C22×C4—791no—
1300C22×C4—791no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—791no—
1308C22×C4—1582no—
1309C22×C4—1582no—
1310C22×C4—1582no—
1311C22×C4—1582no—
1312C22×C4—1582no—
1313C22×C4C23×D7911yescharacteristic
1314C22×C4C23×D7911yescharacteristic
1315C22×C4C23×D7911yescharacteristic
1316C22×C4C23×D7911yescharacteristic
1317C22×C4C23×D7911yescharacteristic
1318C22×C4C23×D7911yescharacteristic
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7911yescharacteristic
1321C22×C4C23×D7911yescharacteristic
1322C22×C4C23×D7911yescharacteristic
1323C22×C4C23×D7911yescharacteristic
1324C22×C4C23×D7911yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
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—3161no—
1341C4⋊C4—1582no—
1342C4⋊C4—1582no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C4⋊C4—1582no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
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—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—3161no—
1389C22⋊C4—3161no—
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—
1404C22⋊C4—1582no—
1405C42—22no—
1406C42—41no—
1407C42—41no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—1582no—
1412C42—1582no—
1413C42—1582no—
1414C42—1582no—
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—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—3164no—
1436C23—792no—
1437C23—6322no—
1438C23—6322no—
1439C23—6322no—
1440C23—6322no—
1441C23—6322no—
1442C23—6322no—
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—
1470C23#41×D7912yes—
1471C23C24×D7911yescharacteristic
1472Q8—82no—
1473Q8—6322no—
1474D4—44no—
1475D4—82no—
1476D4—82no—
1477D4—3164no—
1478D4—3164no—
1479D4—3164no—
1480D4—6322no—
1481D4—6322no—
1482D4—6322no—
1483D4—6322no—
1484D4—6322no—
1485D4—6322no—
1486D4—6322no—
1487D4—6322no—
1488D4—6322no—
1489D4—6322no—
1490D4—6322no—
1491D4—6322no—
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—82no—
1526C2×C4—82no—
1527C2×C4—3164no—
1528C2×C4—3164no—
1529C2×C4—3164no—
1530C2×C4—792no—
1531C2×C4—792no—
1532C2×C4—6322no—
1533C2×C4—6322no—
1534C2×C4—6322no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
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—1581no—
1569C2×C4#1457920612yes—
1570C2×C4#1457920712yes—
1571C2×C4#1457920712yes—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
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—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—3161no—
1618C22—6328no—
1619C22—1582no—
1620C22—1582no—
1621C22—1582no—
1622C22C2×#41×D7911yescharacteristic
1623C22H(5,𝔽2)×D7911yescharacteristic
1624C22C2×#1457920611yescharacteristic
1625C22C2×#1457920711yescharacteristic
1626C22C2×#1457920711yescharacteristic
1627C22#1909939811yescharacteristic
1628C22#1909939911yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—3161no—
1650C4—3161no—
1651C4—1582no—
1652C4—1582no—
1653C2—42no—
1654C2—81no—
1655C2—81no—
1656C2—3162no—
1657C2—6321no—
1658C2—6321no—
1659C2—6321no—
1660C2#2377681011yescharacteristic
1661C2#2377735311yescharacteristic
1662C2#2377742011yescharacteristic
1663C2#2377758211yescharacteristic
1664C2#2377770211yescharacteristic
1665C2#2377780111yescharacteristic
1666C2#2377798611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2459C2
hypercenter#2459D79
hypocenterC79#36918
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2459

Complements

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

NH ≅ G/Ntype
1. #23771727C2semidirect
2. #23771704C2semidirect
3. #23771328C2semidirect
4. #23771105C2semidirect
5. #23771082C2semidirect
6. #23771078C2semidirect
7. #23770424C2semidirect
8. #23770086C2semidirect
9. #23770038C2semidirect
10. #23769948C2semidirect
11. #23769895C2semidirect
12. #23769783C2semidirect
13. #23769751C2semidirect
14. #23769732C2semidirect
15. #23769718C2semidirect
16. #23769696C2semidirect
17. #23769665C2semidirect
18. #23769616C2semidirect
19. #23769287C2semidirect
20. #23769256C2semidirect
21. #23768268C2semidirect
22. #23768168C2semidirect
23. #23768058C2semidirect
24. #23767528C2semidirect
25. #23767410C2semidirect
26. #23767365C2semidirect
27. #23766930C2semidirect
28. #23766121C2semidirect
29. #23766060C2semidirect
30. C4×#14579132C2semidirect
31. C79×#2459C2semidirect
37. C2×#14579143C22semidirect
38. C2×#14579143C22semidirect
39. C2×#14579141C22semidirect
41. C2×#14579137C22semidirect
53. C2×C4×C22⋊D79C22semidirect
54. C2×(C22⋊D79)⋊C4C22semidirect
56. C2×C42×D79C22semidirect
57. #19098503C22semidirect
58. #19098503C22semidirect
59. #19098502C22semidirect
60. #19098500C22semidirect
61. #19098497C22semidirect
62. #19098495C22semidirect
66. #19098491C22semidirect
70. #19098486C22semidirect
73. #19098484C22semidirect
80. #19098479C22semidirect
81. #19098479C22semidirect
87. #19098476C22semidirect
88. #19098475C22semidirect
97. #19098472C22semidirect
99. #19098471C22semidirect
100. #19098471C22semidirect
101. #19098470C22semidirect
110. #19098463C22semidirect
111. #19098460C22semidirect
112. #19098459C22semidirect
113. #19098458C22semidirect
114. #19098456C22semidirect
120. #19098455C22semidirect
124. #19098454C22semidirect
125. #19098454C22semidirect
130. #19098452C22semidirect
131. #19098452C22semidirect
133. #19098451C22semidirect
134. #19098451C22semidirect
135. #19098450C22semidirect
136. #19098447C22semidirect
137. #19098445C22semidirect
147. #19098441C22semidirect
148. #19098441C22semidirect
149. #19098441C22semidirect
151. #19098440C22semidirect
154. #19098439C22semidirect
155. #19098439C22semidirect
158. #19098438C22semidirect
159. #19098438C22semidirect
160. #19098430C22semidirect
161. #19098429C22semidirect
162. #19098428C22semidirect
163. #19098427C22semidirect
164. #19098422C22semidirect
165. #19098420C22semidirect
168. C4×C4⋊Dic79C22semidirect
170. C4×C22⋊Dic79C22semidirect
171. #19098408C22semidirect
172. C2×#124×C79C22semidirect
178. #391×C79C22semidirect
179. #388×C79C22semidirect
180. #388×C79C22semidirect
181. #388×C79C22semidirect
182. #387×C79C22semidirect
184. #386×C79C22semidirect
185. #381×C79C22semidirect
860. #2459D79semidirect
865. C79#36918semidirect
869. C2×#124C2×D79semidirect
942. #391C2×D79semidirect
976. #388C2×D79semidirect
977. #388C2×D79semidirect
978. #388C2×D79semidirect
982. #387C2×D79semidirect
1002. #386C2×D79semidirect
1011. #381C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237717272
#237717042
#237713282
#237711052
#237710822
#237710782
#237704242
#237700862
#237700382
#237699482
#237698952
#237697832
#237697512
#237697322
#237697182
#237696962
#237696652
#237696162
#237692872
#237692562
#237682682
#237681682
#237680582
#237675282
#237674102
#237673652
#237669302
#237661212
#237660602
C4×#145791322
C79×#24592
#3691879