Finite Group Databasebeta

← #34500996

Subgroups — #34500996

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#23771733C211yesmaximal, characteristic, complemented
2#23771698C211yesmaximal, characteristic, complemented
3#23771305C211yesmaximal, characteristic, complemented
4#23771020C211yesmaximal, characteristic, complemented
5#23770882C211yesmaximal, characteristic, complemented
6#23770738C211yesmaximal, characteristic, complemented
7#23770719C211yesmaximal, characteristic, complemented
8#23770675C211yesmaximal, characteristic, complemented
9#23770138C211yesmaximal, characteristic, complemented
10#23770036C211yesmaximal, characteristic, complemented
11#23770026C211yesmaximal, characteristic, complemented
12#23769790C211yesmaximal, characteristic, complemented
13#23769703C211yesmaximal, characteristic, complemented
14#23769666C211yesmaximal, characteristic, complemented
15#23769639C211yesmaximal, characteristic, complemented
16#23769628C211yesmaximal, characteristic, complemented
17#23769619C211yesmaximal, characteristic, complemented
18#23769609C211yesmaximal, characteristic, complemented
19#23769528C211yesmaximal, characteristic, complemented
20#23769463C211yesmaximal, characteristic, complemented
21#23768940C211yesmaximal, characteristic, complemented
22#23768459C211yesmaximal, characteristic, complemented
23#23767413C211yesmaximal, characteristic, complemented
24#23767286C211yesmaximal, characteristic, complemented
25#23767164C211yesmaximal, characteristic, complemented
26#23766930C211yesmaximal, characteristic, complemented
27#23766864C211yesmaximal, characteristic, complemented
28#23766214C211yesmaximal, characteristic, complemented
29#23766054C211yesmaximal, characteristic, complemented
30C4×#14579132C211yesmaximal, characteristic, complemented
31C79×#2455C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic
33C2×#14579156C2211yescharacteristic
34C2×#14579147C2211yescharacteristic
35C2×#14579147C2211yescharacteristic
36C2×#14579146C2211yescharacteristic
37C2×#14579146C2211yescharacteristic, complemented
38C2×#14579143C2211yescharacteristic, complemented
39C2×#14579139C2211yescharacteristic, complemented
40C2×#14579136C2211yescharacteristic
41C2×#14579136C2211yescharacteristic
42C2×#14579135C2211yescharacteristic
43C2×#14579135C2211yescharacteristic, complemented
44C2×#14579134C2211yescharacteristic
45C2×#14579133C2211yescharacteristic
46C2×#14579132C2211yescharacteristic
47C2×#14579131C2211yescharacteristic
48C2×#14579131C2211yescharacteristic
49C2×#14579129C2211yescharacteristic
50C2×#14579129C2211yescharacteristic
51C2×C4×C22⋊D79C2211yescharacteristic
52C2×C4×C22⋊D79C2211yescharacteristic, complemented
53C22×(C2×D79)⋊C4C2211yescharacteristic
54C2×C42×D79C2211yescharacteristic, complemented
55C79⋊#401C2211yescharacteristic, complemented
56#19098503C2211yescharacteristic, complemented
57#19098502C2211yescharacteristic, complemented
58#19098500C2211yescharacteristic
59#19098498C2211yescharacteristic
60#19098497C2211yescharacteristic, complemented
61#19098496C2211yescharacteristic, complemented
62#19098493C2211yescharacteristic, complemented
63#19098493C2211yescharacteristic, complemented
64#19098492C2211yescharacteristic
65#19098491C2211yescharacteristic, complemented
66#19098489C2211yescharacteristic
67#19098489C2211yescharacteristic
68#19098488C2211yescharacteristic, complemented
69#19098486C2211yescharacteristic
70#19098485C2211yescharacteristic
71#19098485C2211yescharacteristic, complemented
72#19098481C2211yescharacteristic
73#19098481C2211yescharacteristic
74#19098480C2211yescharacteristic
75#19098480C2211yescharacteristic
76#19098480C2211yescharacteristic
77#19098480C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098479C2211yescharacteristic
80#19098479C2211yescharacteristic
81#19098479C2211yescharacteristic
82#19098479C2211yescharacteristic, complemented
83#19098478C2211yescharacteristic
84#19098478C2211yescharacteristic
85#19098478C2211yescharacteristic, complemented
86#19098477C2211yescharacteristic, complemented
87#19098476C2211yescharacteristic
88#19098475C2211yescharacteristic, complemented
89#19098472C2211yescharacteristic
90#19098472C2211yescharacteristic
91#19098472C2211yescharacteristic
92#19098472C2211yescharacteristic
93#19098472C2211yescharacteristic
94#19098472C2211yescharacteristic, complemented
95#19098471C2211yescharacteristic
96#19098471C2211yescharacteristic
97#19098471C2211yescharacteristic
98#19098471C2211yescharacteristic, complemented
99#19098468C2211yescharacteristic, complemented
100#19098467C2211yescharacteristic, complemented
101#19098466C2211yescharacteristic
102#19098465C2211yescharacteristic
103#19098464C2211yescharacteristic
104#19098463C2211yescharacteristic
105#19098463C2211yescharacteristic
106#19098463C2211yescharacteristic
107#19098463C2211yescharacteristic
108#19098463C2211yescharacteristic, complemented
109#19098463C2211yescharacteristic, complemented
110#19098459C2211yescharacteristic, complemented
111#19098459C2211yescharacteristic, complemented
112#19098458C2211yescharacteristic, complemented
113#19098457C2211yescharacteristic, complemented
114#19098456C2211yescharacteristic
115#19098456C2211yescharacteristic, complemented
116#19098455C2211yescharacteristic
117#19098455C2211yescharacteristic, complemented
118#19098454C2211yescharacteristic
119#19098454C2211yescharacteristic
120#19098454C2211yescharacteristic
121#19098454C2211yescharacteristic, complemented
122#19098454C2211yescharacteristic, complemented
123#19098453C2211yescharacteristic
124#19098453C2211yescharacteristic
125#19098453C2211yescharacteristic
126#19098453C2211yescharacteristic
127#19098453C2211yescharacteristic
128#19098453C2211yescharacteristic, complemented
129#19098453C2211yescharacteristic, complemented
130#19098452C2211yescharacteristic
131#19098452C2211yescharacteristic
132#19098452C2211yescharacteristic, complemented
133#19098451C2211yescharacteristic
134#19098451C2211yescharacteristic
135#19098451C2211yescharacteristic, complemented
136#19098450C2211yescharacteristic, complemented
137#19098449C2211yescharacteristic, complemented
138#19098449C2211yescharacteristic, complemented
139#19098443C2211yescharacteristic
140#19098442C2211yescharacteristic
141#19098442C2211yescharacteristic
142#19098442C2211yescharacteristic
143#19098442C2211yescharacteristic
144#19098441C2211yescharacteristic
145#19098441C2211yescharacteristic
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic
148#19098441C2211yescharacteristic, complemented
149#19098440C2211yescharacteristic
150#19098439C2211yescharacteristic
151#19098439C2211yescharacteristic
152#19098439C2211yescharacteristic, complemented
153#19098439C2211yescharacteristic, complemented
154#19098439C2211yescharacteristic, complemented
155#19098439C2211yescharacteristic, complemented
156#19098438C2211yescharacteristic
157#19098437C2211yescharacteristic, complemented
158#19098436C2211yescharacteristic, complemented
159#19098435C2211yescharacteristic
160#19098430C2211yescharacteristic, complemented
161#19098427C2211yescharacteristic, complemented
162#19098421C2211yescharacteristic
163#19098420C2211yescharacteristic, complemented
164#19098420C2211yescharacteristic, complemented
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic
167C4⋊C4×Dic79C2211yescharacteristic, complemented
168C4×C4⋊Dic79C2211yescharacteristic, complemented
169C4×C22⋊Dic79C2211yescharacteristic
170C4×C22⋊Dic79C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic, complemented
172C2×#123×C79C2211yescharacteristic, complemented
173C2×#123×C79C2211yescharacteristic, complemented
174C2×C4×D4×C79C2211yescharacteristic
175C2×C4×D4×C79C2211yescharacteristic
176#399×C79C2211yescharacteristic
177#394×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic
179#392×C79C2211yescharacteristic
180#389×C79C2211yescharacteristic, complemented
181#389×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic, complemented
186#385×C79C2211yescharacteristic, complemented
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
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209#14579157—42no—
210#14579156—42no—
211#14579147—24no—
212#14579147—42no—
213#14579146—42no—
214#14579146—42no—
215#14579143—42no—
216#14579139—42no—
217#14579136—42no—
218#14579136—42no—
219#14579135—42no—
220#14579135—42no—
221#14579134—42no—
222#14579133—42no—
223#14579132—24no—
224#14579131—42no—
225#14579131—42no—
226#14579129—24no—
227#14579129—42no—
228C4×C22⋊D79—42no—
229C4×C22⋊D79—42no—
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×(C2×D79)⋊C4—42no—
259C2×(C2×D79)⋊C4C2311yescharacteristic
260C2×(C2×D79)⋊C4C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
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×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C42×D79—42no—
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
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
330C22×D4×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C23×C4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336#123×C79—42no—
337#123×C79—42no—
338C4×D4×C79—42no—
339C4×D4×C79—42no—
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊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×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C42×C79C2311yescharacteristic
362C2×C42×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—22no—
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—22no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—22no—
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—41no—
428C22×Dic79—41no—
429C22×Dic79—41no—
430C22×Dic79—41no—
431C22×Dic79C2411yescharacteristic
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—41no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C4⋊Dic79—22no—
456C4⋊Dic79—22no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461Dic79⋊C4—22no—
462Dic79⋊C4—41no—
463Dic79⋊C4—41no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471C22⋊Dic79—22no—
472C22⋊Dic79—41no—
473C22⋊Dic79—41no—
474C22⋊Dic79—41no—
475C22⋊Dic79—41no—
476C22⋊Dic79—41no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79#4114yes—
483(C2×D79)⋊C4—22no—
484(C2×D79)⋊C4—22no—
485(C2×D79)⋊C4—22no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—22no—
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—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
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—
517C4×Dic79—22no—
518C4×Dic79—22no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C4×Dic79—41no—
523C4×Dic79—41no—
524C4×Dic79—41no—
525C24×C79C2411yescharacteristic
526C24×C79C2411yescharacteristic
527C24×C79C2411yescharacteristic
528C2×D4×C79—22no—
529C2×D4×C79—22no—
530C2×D4×C79—22no—
531C2×D4×C79—41no—
532C2×D4×C79—41no—
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79—41no—
536C2×D4×C79—41no—
537C22×C4×C79—22no—
538C22×C4×C79—22no—
539C22×C4×C79—41no—
540C22×C4×C79—41no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79—41no—
545C22×C4×C79—41no—
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C4⋊C4×C79—22no—
559C4⋊C4×C79—22no—
560C4⋊C4×C79—22no—
561C4⋊C4×C79—22no—
562C4⋊C4×C79—41no—
563C4⋊C4×C79—41no—
564C4⋊C4×C79—41no—
565C4⋊C4×C79—41no—
566C4⋊C4×C79—41no—
567C22⋊C4×C79—22no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—22no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—22no—
572C22⋊C4×C79—22no—
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—22no—
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×D79H(5,𝔽2)12yes—
638D4×C79—44no—
639D4×C79—44no—
640D4×C79—82no—
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—82no—
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—82no—
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×Dic79C2×#4112yes—
726C2×Dic79C2×#4112yes—
727D316—82no—
728D316—82no—
729D316—82no—
730D316—82no—
731D316—82no—
732C4×D79—44no—
733C4×D79—44no—
734C4×D79—44no—
735C4×D79—82no—
736Dic158—82no—
737C22×C79—22no—
738C22×C79—22no—
739C22×C79—22no—
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×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79C22×#4111yescharacteristic
759C22×C79C2×H(5,𝔽2)11yescharacteristic
760C22×C79C2×H(5,𝔽2)11yescharacteristic
761C22×C79C2×H(5,𝔽2)11yescharacteristic
762C22×C79C2×H(5,𝔽2)11yescharacteristic
763C22×C79#58511yescharacteristic
764C22×C79#58511yescharacteristic
765C2×D79—22no—
766C2×D79—22no—
767C2×D79—22no—
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—22no—
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—
806Dic79—22no—
807Dic79—22no—
808Dic79—41no—
809Dic79—41no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818#36926—791nomaximal, Sylow
819C2×C79—42no—
820C2×C79—81no—
821C2×C79—81no—
822C2×C79#346011yescharacteristic
823C2×C79#351311yescharacteristic
824C2×C79#351911yescharacteristic
825C2×C79#353311yescharacteristic
826C2×C79#353711yescharacteristic
827C2×C79#354611yescharacteristic
828C2×C79#355811yescharacteristic
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#2653—791no—
853#2596—791no—
854#2554—791no—
855#2464—791no—
856#2456—791no—
857#2455D7911yescharacteristic, complemented
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×#123C2×D7911yescharacteristic, complemented
873C2×#123C2×D7911yescharacteristic, complemented
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×D4C2×D7911yescharacteristic
889C2×C4×D4C2×D7911yescharacteristic
890C22×C22⋊C4—791no—
891C22×C42—791no—
892#401—791no—
893#400—791no—
894#400—791no—
895#399—791no—
896#399—791no—
897#399C2×D7911yescharacteristic
898#398—791no—
899#398—791no—
900#398—791no—
901#398—791no—
902#397—791no—
903#397—791no—
904#397—791no—
905#397—791no—
906#397—791no—
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#393—791no—
928#393—791no—
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#392C2×D7911yescharacteristic
940#391—791no—
941#391—791no—
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#389C2×D7911yescharacteristic, complemented
955#389C2×D7911yescharacteristic, complemented
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, complemented
980#388C2×D7911yescharacteristic, complemented
981#387—791no—
982#387—791no—
983#387—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#385—791no—
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385C2×D7911yescharacteristic
1006#385C2×D7911yescharacteristic, complemented
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⋊C4—791no—
1020C25—791no—
1021C22×Q8—791no—
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×D4C22×D7911yescharacteristic
1038C22×D4C22×D7911yescharacteristic
1039C22×D4C22×D7911yescharacteristic
1040C23×C4—791no—
1041C23×C4—791no—
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4C22×D7911yescharacteristic
1046C23×C4C22×D7911yescharacteristic
1047C23×C4C22×D7911yescharacteristic
1048#127—3162no—
1049#126—3162no—
1050#124—3162no—
1051#124—1584no—
1052#123—42no—
1053#123—42no—
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—42no—
1070C4×D4—42no—
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⋊C4C22×D7911yescharacteristic
1090C2×C4⋊C4C22×D7911yescharacteristic
1091C2×C4⋊C4C22×D7911yescharacteristic
1092C2×C4⋊C4C22×D7911yescharacteristic
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⋊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×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#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
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—1582no—
1213C24C23×D7911yescharacteristic
1214C24C23×D7911yescharacteristic
1215C24C23×D7911yescharacteristic
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—1582no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
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—3161no—
1259C2×D4—3161no—
1260C2×D4—3161no—
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—22no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
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—3161no—
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—791no—
1303C22×C4—791no—
1304C22×C4—1582no—
1305C22×C4—1582no—
1306C22×C4—1582no—
1307C22×C4—1582no—
1308C22×C4—1582no—
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—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
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—3161no—
1342C4⋊C4—3161no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
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—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—3161no—
1389C22⋊C4—794no—
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—22no—
1405C42—41no—
1406C42—3161no—
1407C42—3161no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—3161no—
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—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—3164no—
1435C23—792no—
1436C23—6322no—
1437C23—6322no—
1438C23—6322no—
1439C23—6322no—
1440C23—6322no—
1441C23—6322no—
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#41×D7912yes—
1470C23C24×D7911yescharacteristic
1471Q8—6322no—
1472D4—44no—
1473D4—44no—
1474D4—82no—
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—82no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—3164no—
1527C2×C4—3164no—
1528C2×C4—3164no—
1529C2×C4—792no—
1530C2×C4—792no—
1531C2×C4—6322no—
1532C2×C4—6322no—
1533C2×C4—1581no—
1534C2×C4—1581no—
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#1457920612yes—
1568C2×C4#1457920612yes—
1569C2×C4#1457920712yes—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—41no—
1574C22—41no—
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—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—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—6328no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22C2×#41×D7911yescharacteristic
1621C22H(5,𝔽2)×D7911yescharacteristic
1622C22C2×#1457920611yescharacteristic
1623C22C2×#1457920611yescharacteristic
1624C22C2×#1457920711yescharacteristic
1625C22#1909939911yescharacteristic
1626C22#1909940011yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—3161no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—1582no—
1650C4—1582no—
1651C2—42no—
1652C2—81no—
1653C2—81no—
1654C2—3162no—
1655C2—6321no—
1656C2—6321no—
1657C2—6321no—
1658C2#2377681811yescharacteristic
1659C2#2377733011yescharacteristic
1660C2#2377742011yescharacteristic
1661C2#2377757011yescharacteristic
1662C2#2377763111yescharacteristic
1663C2#2377777311yescharacteristic
1664C2#2377792011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2455C2
hypercenter#2455D79
hypocenterC79#36926
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2455

Complements

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

NH ≅ G/Ntype
1. #23771733C2semidirect
2. #23771698C2semidirect
3. #23771305C2semidirect
4. #23771020C2semidirect
5. #23770882C2semidirect
6. #23770738C2semidirect
7. #23770719C2semidirect
8. #23770675C2semidirect
9. #23770138C2semidirect
10. #23770036C2semidirect
11. #23770026C2semidirect
12. #23769790C2semidirect
13. #23769703C2semidirect
14. #23769666C2semidirect
15. #23769639C2semidirect
16. #23769628C2semidirect
17. #23769619C2semidirect
18. #23769609C2semidirect
19. #23769528C2semidirect
20. #23769463C2semidirect
21. #23768940C2semidirect
22. #23768459C2semidirect
23. #23767413C2semidirect
24. #23767286C2semidirect
25. #23767164C2semidirect
26. #23766930C2semidirect
27. #23766864C2semidirect
28. #23766214C2semidirect
29. #23766054C2semidirect
30. C4×#14579132C2semidirect
31. C79×#2455C2semidirect
37. C2×#14579146C22semidirect
38. C2×#14579143C22semidirect
39. C2×#14579139C22semidirect
43. C2×#14579135C22semidirect
52. C2×C4×C22⋊D79C22semidirect
54. C2×C42×D79C22semidirect
55. C79⋊#401C22semidirect
56. #19098503C22semidirect
57. #19098502C22semidirect
60. #19098497C22semidirect
61. #19098496C22semidirect
62. #19098493C22semidirect
63. #19098493C22semidirect
65. #19098491C22semidirect
68. #19098488C22semidirect
71. #19098485C22semidirect
82. #19098479C22semidirect
85. #19098478C22semidirect
86. #19098477C22semidirect
88. #19098475C22semidirect
94. #19098472C22semidirect
98. #19098471C22semidirect
99. #19098468C22semidirect
100. #19098467C22semidirect
108. #19098463C22semidirect
109. #19098463C22semidirect
110. #19098459C22semidirect
111. #19098459C22semidirect
112. #19098458C22semidirect
113. #19098457C22semidirect
115. #19098456C22semidirect
117. #19098455C22semidirect
121. #19098454C22semidirect
122. #19098454C22semidirect
128. #19098453C22semidirect
129. #19098453C22semidirect
132. #19098452C22semidirect
135. #19098451C22semidirect
136. #19098450C22semidirect
137. #19098449C22semidirect
138. #19098449C22semidirect
148. #19098441C22semidirect
152. #19098439C22semidirect
153. #19098439C22semidirect
154. #19098439C22semidirect
155. #19098439C22semidirect
157. #19098437C22semidirect
158. #19098436C22semidirect
160. #19098430C22semidirect
161. #19098427C22semidirect
163. #19098420C22semidirect
164. #19098420C22semidirect
167. C4⋊C4×Dic79C22semidirect
168. C4×C4⋊Dic79C22semidirect
170. C4×C22⋊Dic79C22semidirect
171. #19098410C22semidirect
172. C2×#123×C79C22semidirect
173. C2×#123×C79C22semidirect
180. #389×C79C22semidirect
181. #389×C79C22semidirect
182. #388×C79C22semidirect
183. #388×C79C22semidirect
185. #385×C79C22semidirect
186. #385×C79C22semidirect
857. #2455D79semidirect
864. C79#36926semidirect
872. C2×#123C2×D79semidirect
873. C2×#123C2×D79semidirect
954. #389C2×D79semidirect
955. #389C2×D79semidirect
979. #388C2×D79semidirect
980. #388C2×D79semidirect
1006. #385C2×D79semidirect
1007. #385C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237717332
#237716982
#237713052
#237710202
#237708822
#237707382
#237707192
#237706752
#237701382
#237700362
#237700262
#237697902
#237697032
#237696662
#237696392
#237696282
#237696192
#237696092
#237695282
#237694632
#237689402
#237684592
#237674132
#237672862
#237671642
#237669302
#237668642
#237662142
#237660542
C4×#145791322
C79×#24552
#3692679