Finite Group Databasebeta

← #34496606

Subgroups — #34496606

Order 20224.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771690C211yesmaximal, characteristic, complemented
2#23771680C211yesmaximal, characteristic, complemented
3#23771011C211yesmaximal, characteristic, complemented
4#23771011C211yesmaximal, characteristic, complemented
5#23770776C211yesmaximal, characteristic, complemented
6#23770638C211yesmaximal, characteristic, complemented
7#23770625C211yesmaximal, characteristic, complemented
8#23770623C211yesmaximal, characteristic, complemented
9#23770537C211yesmaximal, characteristic, complemented
10#23770048C211yesmaximal, characteristic, complemented
11#23769961C211yesmaximal, characteristic, complemented
12#23769949C211yesmaximal, characteristic, complemented
13#23769842C211yesmaximal, characteristic, complemented
14#23769835C211yesmaximal, characteristic, complemented
15#23769778C211yesmaximal, characteristic, complemented
16#23769725C211yesmaximal, characteristic, complemented
17#23769694C211yesmaximal, characteristic, complemented
18#23769604C211yesmaximal, characteristic, complemented
19#23769355C211yesmaximal, characteristic, complemented
20#23769330C211yesmaximal, characteristic, complemented
21#23767958C211yesmaximal, characteristic, complemented
22#23767525C211yesmaximal, characteristic, complemented
23#23767156C211yesmaximal, characteristic, complemented
24#23767066C211yesmaximal, characteristic, complemented
25#23766932C211yesmaximal, characteristic, complemented
26#23766774C211yesmaximal, characteristic, complemented
27#23766774C211yesmaximal, characteristic, complemented
28#23766055C211yesmaximal, characteristic, complemented
29#23765978C211yesmaximal, characteristic, complemented
30C2×#19098443C211yesmaximal, characteristic, complemented
31C79×#2403C211yesmaximal, characteristic, complemented
32C24×Dic79C2211yescharacteristic, complemented
33C2×#14579148C2211yescharacteristic, complemented
34C2×#14579142C2211yescharacteristic, complemented
35C2×#14579142C2211yescharacteristic, complemented
36C2×#14579138C2211yescharacteristic, complemented
37C2×#14579138C2211yescharacteristic, complemented
38C2×#14579133C2211yescharacteristic
39C2×#14579133C2211yescharacteristic
40C2×#14579133C2211yescharacteristic, complemented
41C2×#14579133C2211yescharacteristic, complemented
42C2×#14579133C2211yescharacteristic, complemented
43C2×#14579133C2211yescharacteristic, complemented
44C2×#14579132C2211yescharacteristic, complemented
45C2×#14579130C2211yescharacteristic
46C2×#14579130C2211yescharacteristic, complemented
47C2×#14579130C2211yescharacteristic, complemented
48C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
49C22×C22⋊Dic79C2211yescharacteristic
50C22×C22⋊Dic79C2211yescharacteristic
51C22×C22⋊Dic79C2211yescharacteristic
52C22×C22⋊Dic79C2211yescharacteristic, complemented
53C79⋊#401C2211yescharacteristic, complemented
54C79⋊#401C2211yescharacteristic, complemented
55#19098505C2211yescharacteristic, complemented
56#19098505C2211yescharacteristic, complemented
57#19098504C2211yescharacteristic, complemented
58#19098504C2211yescharacteristic, complemented
59#19098504C2211yescharacteristic, complemented
60#19098504C2211yescharacteristic, complemented
61#19098503C2211yescharacteristic, complemented
62#19098499C2211yescharacteristic, complemented
63#19098492C2211yescharacteristic, complemented
64#19098492C2211yescharacteristic, complemented
65#19098491C2211yescharacteristic, complemented
66#19098491C2211yescharacteristic, complemented
67#19098491C2211yescharacteristic, complemented
68#19098491C2211yescharacteristic, complemented
69#19098491C2211yescharacteristic, complemented
70#19098491C2211yescharacteristic, complemented
71#19098488C2211yescharacteristic, complemented
72#19098488C2211yescharacteristic, complemented
73#19098486C2211yescharacteristic, complemented
74#19098486C2211yescharacteristic, complemented
75#19098486C2211yescharacteristic, complemented
76#19098486C2211yescharacteristic, complemented
77#19098479C2211yescharacteristic, complemented
78#19098479C2211yescharacteristic, complemented
79#19098478C2211yescharacteristic, complemented
80#19098478C2211yescharacteristic, complemented
81#19098477C2211yescharacteristic
82#19098477C2211yescharacteristic
83#19098477C2211yescharacteristic, complemented
84#19098477C2211yescharacteristic, complemented
85#19098477C2211yescharacteristic, complemented
86#19098477C2211yescharacteristic, complemented
87#19098477C2211yescharacteristic, complemented
88#19098476C2211yescharacteristic, complemented
89#19098475C2211yescharacteristic, complemented
90#19098475C2211yescharacteristic, complemented
91#19098475C2211yescharacteristic, complemented
92#19098471C2211yescharacteristic
93#19098471C2211yescharacteristic
94#19098471C2211yescharacteristic, complemented
95#19098471C2211yescharacteristic, complemented
96#19098471C2211yescharacteristic, complemented
97#19098466C2211yescharacteristic, complemented
98#19098466C2211yescharacteristic, complemented
99#19098463C2211yescharacteristic, complemented
100#19098463C2211yescharacteristic, complemented
101#19098457C2211yescharacteristic, complemented
102#19098457C2211yescharacteristic, complemented
103#19098457C2211yescharacteristic, complemented
104#19098457C2211yescharacteristic, complemented
105#19098457C2211yescharacteristic, complemented
106#19098457C2211yescharacteristic, complemented
107#19098451C2211yescharacteristic, complemented
108#19098451C2211yescharacteristic, complemented
109#19098451C2211yescharacteristic, complemented
110#19098451C2211yescharacteristic, complemented
111#19098445C2211yescharacteristic, complemented
112#19098445C2211yescharacteristic, complemented
113#19098443C2211yescharacteristic
114#19098443C2211yescharacteristic
115#19098443C2211yescharacteristic
116#19098443C2211yescharacteristic
117#19098443C2211yescharacteristic
118#19098443C2211yescharacteristic
119#19098443C2211yescharacteristic
120#19098443C2211yescharacteristic
121#19098443C2211yescharacteristic
122#19098443C2211yescharacteristic
123#19098443C2211yescharacteristic, complemented
124#19098443C2211yescharacteristic, complemented
125#19098443C2211yescharacteristic, complemented
126#19098443C2211yescharacteristic, complemented
127#19098443C2211yescharacteristic, complemented
128#19098443C2211yescharacteristic, complemented
129#19098443C2211yescharacteristic, complemented
130#19098443C2211yescharacteristic, complemented
131#19098443C2211yescharacteristic, complemented
132#19098443C2211yescharacteristic, complemented
133#19098443C2211yescharacteristic, complemented
134#19098443C2211yescharacteristic, complemented
135#19098443C2211yescharacteristic, complemented
136#19098443C2211yescharacteristic, complemented
137#19098442C2211yescharacteristic, complemented
138#19098442C2211yescharacteristic, complemented
139#19098440C2211yescharacteristic, complemented
140#19098440C2211yescharacteristic, complemented
141#19098440C2211yescharacteristic, complemented
142#19098439C2211yescharacteristic, complemented
143#19098439C2211yescharacteristic, complemented
144#19098439C2211yescharacteristic, complemented
145#19098439C2211yescharacteristic, complemented
146#19098438C2211yescharacteristic, complemented
147#19098438C2211yescharacteristic, complemented
148#19098436C2211yescharacteristic, complemented
149#19098436C2211yescharacteristic, complemented
150#19098435C2211yescharacteristic, complemented
151#19098435C2211yescharacteristic, complemented
152#19098435C2211yescharacteristic, complemented
153#19098435C2211yescharacteristic, complemented
154#19098435C2211yescharacteristic, complemented
155#19098430C2211yescharacteristic, complemented
156#19098426C2211yescharacteristic, complemented
157#19098426C2211yescharacteristic, complemented
158#19098425C2211yescharacteristic, complemented
159#19098424C2211yescharacteristic, complemented
160#19098424C2211yescharacteristic, complemented
161#19098421C2211yescharacteristic, complemented
162#19098421C2211yescharacteristic, complemented
163#19098421C2211yescharacteristic, complemented
164#19098421C2211yescharacteristic, complemented
165#19098419C2211yescharacteristic, complemented
166#19098419C2211yescharacteristic, complemented
167#19098419C2211yescharacteristic, complemented
168#19098419C2211yescharacteristic, complemented
169C22⋊C4×Dic79C2211yescharacteristic, complemented
170C2×C79⋊#95C2211yescharacteristic, complemented
171C2×C79⋊#95C2211yescharacteristic, complemented
172C23×D4×C79C2211yescharacteristic
173C23×D4×C79C2211yescharacteristic
174C2×#120×C79C2211yescharacteristic
175C2×#120×C79C2211yescharacteristic
176C2×#120×C79C2211yescharacteristic
177C2×#120×C79C2211yescharacteristic
178#392×C79C2211yescharacteristic
179#392×C79C2211yescharacteristic
180#392×C79C2211yescharacteristic
181#392×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#386×C79C2211yescharacteristic
186#379×C79C2211yescharacteristic
187C22×Dic158C2311yescharacteristic
188C22×C22⋊D79C2311yescharacteristic
189C22×C22⋊D79C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C23×Dic79—42no—
196C23×Dic79—42no—
197C23×Dic79—42no—
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209#14579148—42no—
210#14579142—42no—
211#14579142—42no—
212#14579138—42no—
213#14579138—42no—
214#14579133—42no—
215#14579133—42no—
216#14579133—42no—
217#14579133—42no—
218#14579133—42no—
219#14579133—42no—
220#14579132—42no—
221#14579130—24no—
222#14579130—42no—
223#14579130—42no—
224(C22⋊D79)⋊C4—42no—
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×Dic79⋊C4C2311yescharacteristic
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×C22⋊Dic79—42no—
242C2×C22⋊Dic79—42no—
243C2×C22⋊Dic79—42no—
244C2×C22⋊Dic79—42no—
245C2×C22⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
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×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
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
330C25×C79C2311yescharacteristic
331C25×C79C2311yescharacteristic
332C25×C79C2311yescharacteristic
333C22×D4×C79—24no—
334C22×D4×C79—24no—
335C22×D4×C79—42no—
336C22×D4×C79—42no—
337C22×D4×C79—42no—
338C22×D4×C79—42no—
339C22×D4×C79C2311yescharacteristic
340C22×D4×C79C2311yescharacteristic
341C22×D4×C79C2311yescharacteristic
342C22×D4×C79C2311yescharacteristic
343C22×D4×C79C2311yescharacteristic
344C22×D4×C79C2311yescharacteristic
345C22×D4×C79C2311yescharacteristic
346C22×D4×C79C2311yescharacteristic
347C22×D4×C79C2311yescharacteristic
348C22×D4×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C22×D4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353#120×C79—42no—
354#120×C79—42no—
355#120×C79—42no—
356#120×C79—42no—
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375C23×D79C2411yescharacteristic
376C2×Dic158—41no—
377C2×Dic158—41no—
378C2×Dic158—41no—
379C2×C22⋊D79—22no—
380C2×C22⋊D79—22no—
381C2×C22⋊D79—22no—
382C2×C22⋊D79—22no—
383C2×C22⋊D79—22no—
384C2×C22⋊D79—22no—
385C2×C22⋊D79—22no—
386C2×C22⋊D79—22no—
387C2×C22⋊D79—41no—
388C2×C22⋊D79—41no—
389C2×C22⋊D79—41no—
390C2×C22⋊D79—41no—
391C2×C22⋊D79—41no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C22×Dic79—22no—
401C22×Dic79—22no—
402C22×Dic79—22no—
403C22×Dic79—22no—
404C22×Dic79—22no—
405C22×Dic79—22no—
406C22×Dic79—22no—
407C22×Dic79—22no—
408C22×Dic79—22no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79—41no—
419C22×Dic79—41no—
420C22×Dic79—41no—
421C22×Dic79—41no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79—41no—
427C22×Dic79—41no—
428C22×Dic79—41no—
429C22×Dic79—41no—
430C22×Dic79—416no—
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
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—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C4⋊Dic79—41no—
450C4⋊Dic79—41no—
451C4⋊Dic79—41no—
452Dic79⋊C4—22no—
453Dic79⋊C4—22no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456Dic79⋊C4—41no—
457Dic79⋊C4—41no—
458Dic79⋊C4—41no—
459Dic79⋊C4—41no—
460Dic79⋊C4—41no—
461Dic79⋊C4—41no—
462Dic79⋊C4—41no—
463Dic79⋊C4—41no—
464Dic79⋊C4—41no—
465C22⋊Dic79—22no—
466C22⋊Dic79—22no—
467C22⋊Dic79—22no—
468C22⋊Dic79—22no—
469C22⋊Dic79—22no—
470C22⋊Dic79—22no—
471C22⋊Dic79—22no—
472C22⋊Dic79—22no—
473C22⋊Dic79—22no—
474C22⋊Dic79—22no—
475C22⋊Dic79—22no—
476C22⋊Dic79—22no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
493C22⋊Dic79—41no—
494C22⋊Dic79—41no—
495C22⋊Dic79—41no—
496C22⋊Dic79—41no—
497C22⋊Dic79—41no—
498C22⋊Dic79—41no—
499C22⋊Dic79—41no—
500C22⋊Dic79—41no—
501C22⋊Dic79—41no—
502C22⋊Dic79—41no—
503C22⋊Dic79—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—
511C4×Dic79—41no—
512C4×Dic79—41no—
513C4×Dic79—41no—
514C24×C79—22no—
515C24×C79—22no—
516C24×C79—22no—
517C24×C79—22no—
518C24×C79—22no—
519C24×C79—22no—
520C24×C79—22no—
521C24×C79—22no—
522C24×C79—41no—
523C24×C79—41no—
524C24×C79—41no—
525C24×C79—41no—
526C24×C79—41no—
527C24×C79—41no—
528C24×C79—41no—
529C24×C79—41no—
530C24×C79—41no—
531C24×C79—41no—
532C24×C79—41no—
533C24×C79—41no—
534C24×C79#4114yes—
535C24×C79C2411yescharacteristic
536C24×C79C2411yescharacteristic
537C24×C79C2411yescharacteristic
538C24×C79C2411yescharacteristic
539C24×C79C2411yescharacteristic
540C24×C79C2411yescharacteristic
541C24×C79C2411yescharacteristic
542C2×D4×C79—22no—
543C2×D4×C79—22no—
544C2×D4×C79—22no—
545C2×D4×C79—22no—
546C2×D4×C79—22no—
547C2×D4×C79—22no—
548C2×D4×C79—22no—
549C2×D4×C79—22no—
550C2×D4×C79—22no—
551C2×D4×C79—22no—
552C2×D4×C79—22no—
553C2×D4×C79—22no—
554C2×D4×C79—22no—
555C2×D4×C79—22no—
556C2×D4×C79—22no—
557C2×D4×C79—22no—
558C2×D4×C79—22no—
559C2×D4×C79—22no—
560C2×D4×C79—22no—
561C2×D4×C79—22no—
562C2×D4×C79—41no—
563C2×D4×C79—41no—
564C2×D4×C79—41no—
565C2×D4×C79—41no—
566C2×D4×C79—41no—
567C2×D4×C79—41no—
568C2×D4×C79—41no—
569C2×D4×C79—41no—
570C2×D4×C79—41no—
571C2×D4×C79—41no—
572C2×D4×C79—41no—
573C2×D4×C79—41no—
574C2×D4×C79—41no—
575C2×D4×C79—41no—
576C2×D4×C79—41no—
577C2×D4×C79—41no—
578C2×D4×C79—416no—
579C2×D4×C79—416no—
580C22×C4×C79—22no—
581C22×C4×C79—22no—
582C22×C4×C79—41no—
583C22×C4×C79—41no—
584C22×C4×C79—41no—
585C22×C4×C79—41no—
586C22×C4×C79C2411yescharacteristic
587C22×C4×C79C2411yescharacteristic
588C22×C4×C79C2411yescharacteristic
589C22×C4×C79C2411yescharacteristic
590C22×C4×C79C2411yescharacteristic
591C22×C4×C79C2411yescharacteristic
592C22×C4×C79C2411yescharacteristic
593C22×C4×C79C2411yescharacteristic
594C22⋊C4×C79—22no—
595C22⋊C4×C79—22no—
596C22⋊C4×C79—41no—
597C22⋊C4×C79—41no—
598C22⋊C4×C79—41no—
599C22⋊C4×C79—41no—
600C22⋊C4×C79—41no—
601C22⋊C4×C79—41no—
602C22⋊C4×C79—41no—
603C22⋊C4×C79—41no—
604C22⋊C4×C79—41no—
605C22⋊C4×C79—41no—
606C22⋊C4×C79—41no—
607C22⋊C4×C79—41no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—28no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79—21no—
620C23×C79—21no—
621C23×C79—21no—
622C23×C79—21no—
623C23×C79—21no—
624C23×C79—21no—
625C23×C79—21no—
626C23×C79—21no—
627C23×C79—21no—
628C23×C79—21no—
629C23×C79—21no—
630C23×C79—21no—
631C23×C79—21no—
632C23×C79—21no—
633C23×C79—21no—
634C23×C79—21no—
635C23×C79—21no—
636C23×C79—21no—
637C23×C79—28no—
638C23×C79—21no—
639C23×C79—21no—
640C23×C79—21no—
641C23×C79—21no—
642C23×C79—21no—
643C23×C79—21no—
644C23×C79—21no—
645C23×C79—21no—
646C23×C79—21no—
647C23×C79—21no—
648C23×C79—21no—
649C23×C79—21no—
650C23×C79—21no—
651C23×C79—21no—
652C23×C79—44no—
653C23×C79—44no—
654C23×C79—44no—
655C23×C79—44no—
656C23×C79—44no—
657C23×C79—44no—
658C23×C79—44no—
659C23×C79—44no—
660C23×C79—44no—
661C23×C79—82no—
662C23×C79—82no—
663C23×C79—82no—
664C23×C79—82no—
665C23×C79—82no—
666C23×C79—82no—
667C23×C79—82no—
668C23×C79—82no—
669C23×C79—82no—
670C23×C79—82no—
671C23×C79C2×#4112yes—
672C23×C79C2×#4112yes—
673C23×C79C2×#4112yes—
674C23×C79H(5,𝔽2)12yes—
675C23×C79H(5,𝔽2)12yes—
676C23×C79H(5,𝔽2)12yes—
677C23×C79H(5,𝔽2)12yes—
678C23×C79C2511yescharacteristic
679C22×D79—21no—
680C22×D79—21no—
681C22×D79—21no—
682C22×D79—21no—
683C22×D79—21no—
684C22×D79—21no—
685C22×D79—21no—
686D4×C79—44no—
687D4×C79—44no—
688D4×C79—44no—
689D4×C79—44no—
690D4×C79—44no—
691D4×C79—44no—
692D4×C79—44no—
693D4×C79—44no—
694D4×C79—82no—
695D4×C79—82no—
696D4×C79—82no—
697D4×C79—82no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—21no—
721C2×C4×C79—21no—
722C2×C4×C79—44no—
723C2×C4×C79—44no—
724C22⋊D79—44no—
725C22⋊D79—82no—
726C22⋊D79—82no—
727C22⋊D79—82no—
728C22⋊D79—82no—
729C22⋊D79—82no—
730C22⋊D79—82no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79—21no—
736C2×Dic79—21no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—21no—
751C2×Dic79—21no—
752C2×Dic79—21no—
753C2×Dic79—21no—
754C2×Dic79—21no—
755C2×Dic79—21no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—21no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—21no—
771C2×Dic79—21no—
772C2×Dic79—21no—
773C2×Dic79—21no—
774C2×Dic79—21no—
775C2×Dic79—44no—
776C2×Dic79—44no—
777C2×Dic79—44no—
778C2×Dic79—44no—
779C2×Dic79—44no—
780C2×Dic79—44no—
781C2×Dic79—82no—
782C2×Dic79—82no—
783C2×Dic79—82no—
784C2×Dic79—82no—
785C2×Dic79H(5,𝔽2)12yes—
786C4×D79—82no—
787Dic158—82no—
788C22×C79—22no—
789C22×C79—22no—
790C22×C79—22no—
791C22×C79—22no—
792C22×C79—22no—
793C22×C79—22no—
794C22×C79—22no—
795C22×C79—22no—
796C22×C79—22no—
797C22×C79—22no—
798C22×C79—22no—
799C22×C79—22no—
800C22×C79—22no—
801C22×C79—22no—
802C22×C79—22no—
803C22×C79—22no—
804C22×C79—22no—
805C22×C79—22no—
806C22×C79—416no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79—41no—
810C22×C79—41no—
811C22×C79—41no—
812C22×C79—41no—
813C22×C79—41no—
814C22×C79—41no—
815C22×C79—41no—
816C22×C79—41no—
817C22×C79—41no—
818C22×C79—41no—
819C22×C79—41no—
820C22×C79—41no—
821C22×C79—41no—
822C22×C79—41no—
823C22×C79—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79—41no—
835C22×C79—41no—
836C22×C79—41no—
837C22×C79—88no—
838C22×C79—88no—
839C22×C79#53814yes—
840C22×C79C22×#4111yescharacteristic
841C22×C79C2×H(5,𝔽2)11yescharacteristic
842C22×C79C2×H(5,𝔽2)11yescharacteristic
843C22×C79C2×H(5,𝔽2)11yescharacteristic
844C22×C79C2×H(5,𝔽2)11yescharacteristic
845C22×C79C2×H(5,𝔽2)11yescharacteristic
846C22×C79#58511yescharacteristic
847C2×D79—41no—
848C2×D79—41no—
849C2×D79—41no—
850C2×D79—41no—
851C2×D79—41no—
852C2×D79—41no—
853C2×D79—41no—
854C4×C79—41no—
855C4×C79—41no—
856C4×C79—41no—
857C4×C79—41no—
858C4×C79—41no—
859C4×C79—41no—
860C4×C79—41no—
861C4×C79—41no—
862Dic79—22no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867Dic79—41no—
868Dic79—41no—
869Dic79—41no—
870Dic79—41no—
871Dic79—41no—
872Dic79—41no—
873Dic79—41no—
874Dic79—41no—
875Dic79—41no—
876Dic79—41no—
877#36776—791nomaximal, Sylow
878C2×C79—24no—
879C2×C79—42no—
880C2×C79—42no—
881C2×C79—42no—
882C2×C79—42no—
883C2×C79—81no—
884C2×C79—81no—
885C2×C79C2×#53811yescharacteristic
886C2×C79#349011yescharacteristic
887C2×C79#350511yescharacteristic
888C2×C79#353211yescharacteristic
889C2×C79#353411yescharacteristic
890C2×C79#353411yescharacteristic
891C2×C79#353711yescharacteristic
892D79—81no—
893#2849—791no—
894#2847—791no—
895#2778—791no—
896#2778—791no—
897#2760—791no—
898#2750—791no—
899#2749—791no—
900#2749—791no—
901#2743—791no—
902#2703—791no—
903#2697—791no—
904#2696—791no—
905#2688—791no—
906#2688—791no—
907#2684—791no—
908#2678—791no—
909#2676—791no—
910#2668—791no—
911#2643—791no—
912#2639—791no—
913#2510—791no—
914#2472—791no—
915#2444—791no—
916#2437—791no—
917#2424—791no—
918#2410—791no—
919#2410—791no—
920#2403D7911yescharacteristic, complemented
921#2321—791no—
922#2308—791no—
923C2×#386—791no—
924C79#3677611yescharacteristic, complemented, Sylow
925C23×D4C2×D7911yescharacteristic
926C23×D4C2×D7911yescharacteristic
927C24×C4—791no—
928C2×#124—791no—
929C2×#123—791no—
930C2×#123—791no—
931C2×C22⋊Q8—791no—
932C2×C22⋊Q8—791no—
933C2×#121—791no—
934C2×#121—791no—
935C2×#121—791no—
936C2×#121—791no—
937C2×#121—791no—
938C2×#121—791no—
939C2×#121—791no—
940C2×#120—791no—
941C2×#120—791no—
942C2×#120—791no—
943C2×#120C2×D7911yescharacteristic
944C2×#120C2×D7911yescharacteristic
945C2×#120C2×D7911yescharacteristic
946C2×#120C2×D7911yescharacteristic
947C2×C4×D4—791no—
948C22×C22⋊C4—791no—
949C22×C22⋊C4—791no—
950C22×C22⋊C4—791no—
951C22×C22⋊C4—791no—
952#401—791no—
953#401—791no—
954#400—791no—
955#400—791no—
956#400—791no—
957#400—791no—
958#400—791no—
959#400—791no—
960#400—791no—
961#399—791no—
962#397—791no—
963#397—791no—
964#397—791no—
965#397—791no—
966#397—791no—
967#397—791no—
968#397—791no—
969#397—791no—
970#397—791no—
971#397—791no—
972#396—791no—
973#396—791no—
974#396—791no—
975#396—791no—
976#394—791no—
977#394—791no—
978#394—791no—
979#394—791no—
980#394—791no—
981#394—791no—
982#394—791no—
983#394—791no—
984#394—791no—
985#394—791no—
986#394—791no—
987#393—791no—
988#393—791no—
989#393—791no—
990#393—791no—
991#392—791no—
992#392—791no—
993#392—791no—
994#392—791no—
995#392—791no—
996#392C2×D7911yescharacteristic
997#392C2×D7911yescharacteristic
998#392C2×D7911yescharacteristic
999#392C2×D7911yescharacteristic
1000#390—791no—
1001#390—791no—
1002#390—791no—
1003#390—791no—
1004#388—791no—
1005#388—791no—
1006#388—791no—
1007#388—791no—
1008#388—791no—
1009#388—791no—
1010#388—791no—
1011#388—791no—
1012#388—791no—
1013#388—791no—
1014#387—791no—
1015#387—791no—
1016#386—791no—
1017#386—791no—
1018#386—791no—
1019#386—791no—
1020#386—791no—
1021#386—791no—
1022#386—791no—
1023#386—791no—
1024#386—791no—
1025#386—791no—
1026#386—791no—
1027#386—791no—
1028#386—791no—
1029#386—791no—
1030#386—791no—
1031#386—791no—
1032#386—791no—
1033#386—791no—
1034#386—791no—
1035#386—791no—
1036#386—791no—
1037#386—791no—
1038#386—791no—
1039#386—791no—
1040#386—791no—
1041#386—791no—
1042#386—791no—
1043#386—791no—
1044#386—791no—
1045#386—791no—
1046#386—791no—
1047#386—791no—
1048#386—791no—
1049#386C2×D7911yescharacteristic
1050#386C2×D7911yescharacteristic
1051#386C2×D7911yescharacteristic
1052#386C2×D7911yescharacteristic
1053#385—791no—
1054#385—791no—
1055#385—791no—
1056#385—791no—
1057#385—791no—
1058#385—791no—
1059#385—791no—
1060#385—791no—
1061#385—791no—
1062#383—791no—
1063#381—791no—
1064#381—791no—
1065#381—791no—
1066#381—791no—
1067#381—791no—
1068#380—791no—
1069#380—791no—
1070#380—791no—
1071#380—791no—
1072#379—791no—
1073#379—791no—
1074#379—791no—
1075#379—791no—
1076#379C2×D7911yescharacteristic
1077C4×C22⋊C4—791no—
1078C2×#95—791no—
1079C2×#95—791no—
1080C25C22×D7911yescharacteristic
1081C25C22×D7911yescharacteristic
1082C25C22×D7911yescharacteristic
1083C22×Q8—791no—
1084C22×D4—24no—
1085C22×D4—24no—
1086C22×D4—42no—
1087C22×D4—42no—
1088C22×D4—42no—
1089C22×D4—42no—
1090C22×D4—791no—
1091C22×D4—791no—
1092C22×D4—791no—
1093C22×D4—791no—
1094C22×D4—791no—
1095C22×D4—791no—
1096C22×D4—791no—
1097C22×D4C22×D7911yescharacteristic
1098C22×D4C22×D7911yescharacteristic
1099C22×D4C22×D7911yescharacteristic
1100C22×D4C22×D7911yescharacteristic
1101C22×D4C22×D7911yescharacteristic
1102C22×D4C22×D7911yescharacteristic
1103C22×D4C22×D7911yescharacteristic
1104C22×D4C22×D7911yescharacteristic
1105C22×D4C22×D7911yescharacteristic
1106C22×D4C22×D7911yescharacteristic
1107C22×D4C22×D7911yescharacteristic
1108C22×D4C22×D7911yescharacteristic
1109C23×C4—3162no—
1110C23×C4—3162no—
1111C23×C4—3162no—
1112C23×C4—791no—
1113C23×C4—791no—
1114C23×C4—791no—
1115C23×C4—791no—
1116C23×C4—791no—
1117C23×C4—791no—
1118C23×C4—791no—
1119C23×C4—791no—
1120C23×C4—791no—
1121C23×C4—791no—
1122C23×C4—791no—
1123C23×C4C22×D7911yescharacteristic
1124C23×C4C22×D7911yescharacteristic
1125#124—3162no—
1126#123—3162no—
1127#123—3162no—
1128C22⋊Q8—3162no—
1129C22⋊Q8—3162no—
1130#121—3162no—
1131#121—3162no—
1132#121—3162no—
1133#121—3162no—
1134#121—3162no—
1135#121—3162no—
1136#121—3162no—
1137#120—42no—
1138#120—42no—
1139#120—42no—
1140#120—42no—
1141#120—3162no—
1142#120—3162no—
1143#120—1584no—
1144C4×D4—3162no—
1145C2×C4⋊C4—791no—
1146C2×C4⋊C4—791no—
1147C2×C4⋊C4—791no—
1148C2×C4⋊C4—791no—
1149C2×C4⋊C4—791no—
1150C2×C4⋊C4—791no—
1151C2×C4⋊C4—791no—
1152C2×C4⋊C4—791no—
1153C2×C4⋊C4—791no—
1154C2×C4⋊C4—791no—
1155C2×C4⋊C4—791no—
1156C2×C4⋊C4—791no—
1157C2×C4⋊C4—791no—
1158C2×C4⋊C4—791no—
1159C2×C4⋊C4—791no—
1160C2×C4⋊C4—791no—
1161C2×C22⋊C4—3162no—
1162C2×C22⋊C4—3162no—
1163C2×C22⋊C4—3162no—
1164C2×C22⋊C4—3162no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4—791no—
1171C2×C22⋊C4—791no—
1172C2×C22⋊C4—791no—
1173C2×C22⋊C4—791no—
1174C2×C22⋊C4—791no—
1175C2×C22⋊C4—791no—
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—791no—
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—791no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—791no—
1189C2×C22⋊C4—791no—
1190C2×C22⋊C4—791no—
1191C2×C22⋊C4—791no—
1192C2×C22⋊C4—791no—
1193C2×C22⋊C4—791no—
1194C2×C22⋊C4—791no—
1195C2×C22⋊C4—791no—
1196C2×C22⋊C4—791no—
1197C2×C22⋊C4—791no—
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—791no—
1200C2×C22⋊C4—791no—
1201C2×C22⋊C4—791no—
1202C2×C22⋊C4—791no—
1203C2×C22⋊C4—791no—
1204C2×C22⋊C4—791no—
1205C2×C22⋊C4—791no—
1206C2×C22⋊C4—791no—
1207C2×C22⋊C4—791no—
1208C2×C22⋊C4—791no—
1209C2×C22⋊C4—791no—
1210C2×C22⋊C4—791no—
1211C2×C22⋊C4C22×D7911yescharacteristic
1212C2×C22⋊C4C22×D7911yescharacteristic
1213C2×C22⋊C4C22×D7911yescharacteristic
1214C2×C22⋊C4C22×D7911yescharacteristic
1215C2×C22⋊C4C22×D7911yescharacteristic
1216C2×C22⋊C4C22×D7911yescharacteristic
1217C2×C22⋊C4C22×D7911yescharacteristic
1218C2×C22⋊C4C22×D7911yescharacteristic
1219C2×C22⋊C4C22×D7911yescharacteristic
1220C2×C22⋊C4C22×D7911yescharacteristic
1221C2×C22⋊C4C22×D7911yescharacteristic
1222C2×C22⋊C4C22×D7911yescharacteristic
1223C2×C22⋊C4C22×D7911yescharacteristic
1224C2×C22⋊C4C22×D7911yescharacteristic
1225C2×C42—791no—
1226C2×C42—791no—
1227C2×C42—791no—
1228#95—791no—
1229#95—791no—
1230#95—791no—
1231#95—791no—
1232#95—791no—
1233#95—791no—
1234#95—791no—
1235#95—791no—
1236#95—791no—
1237#95—791no—
1238#95—791no—
1239#95—791no—
1240#95—791no—
1241#95—791no—
1242#95—791no—
1243#95—791no—
1244#95—791no—
1245#95—791no—
1246#95—791no—
1247#95—791no—
1248#95—791no—
1249#95—791no—
1250#95—791no—
1251#95—791no—
1252#95—791no—
1253#95—791no—
1254#95—791no—
1255#95—791no—
1256#95—791no—
1257#95—791no—
1258#95—791no—
1259#95—791no—
1260#95—791no—
1261#95—791no—
1262#95—791no—
1263#95—791no—
1264#95C22×D7911yescharacteristic
1265#95C22×D7911yescharacteristic
1266#95C22×D7911yescharacteristic
1267#95C22×D7911yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—22no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24—41no—
1284C24—41no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24—791no—
1289C24#1192962314yes—
1290C24C23×D7911yescharacteristic
1291C24C23×D7911yescharacteristic
1292C24C23×D7911yescharacteristic
1293C24C23×D7911yescharacteristic
1294C24C23×D7911yescharacteristic
1295C24C23×D7911yescharacteristic
1296C24C23×D7911yescharacteristic
1297C2×Q8—3161no—
1298C2×Q8—3161no—
1299C2×Q8—3161no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—416no—
1337C2×D4—416no—
1338C2×D4—3161no—
1339C2×D4—3161no—
1340C2×D4—3161no—
1341C2×D4—3161no—
1342C2×D4—3161no—
1343C2×D4—3161no—
1344C2×D4—3161no—
1345C2×D4—3161no—
1346C2×D4—3161no—
1347C2×D4—3161no—
1348C2×D4—3161no—
1349C2×D4—3161no—
1350C2×D4—3161no—
1351C2×D4—1582no—
1352C2×D4—1582no—
1353C2×D4—1582no—
1354C2×D4—1582no—
1355C2×D4—1582no—
1356C2×D4—1582no—
1357C2×D4—1582no—
1358C2×D4—1582no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—3161no—
1366C22×C4—3161no—
1367C22×C4—3161no—
1368C22×C4—31616no—
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—791no—
1391C22×C4—791no—
1392C22×C4—791no—
1393C22×C4—791no—
1394C22×C4—791no—
1395C22×C4—791no—
1396C22×C4—791no—
1397C22×C4—791no—
1398C22×C4—791no—
1399C22×C4—791no—
1400C22×C4—791no—
1401C22×C4—791no—
1402C22×C4—791no—
1403C22×C4—791no—
1404C22×C4—791no—
1405C22×C4—1582no—
1406C22×C4—1582no—
1407C22×C4—1582no—
1408C22×C4—1582no—
1409C22×C4—1582no—
1410C22×C4—1582no—
1411C22×C4—1582no—
1412C22×C4—1582no—
1413C22×C4—1582no—
1414C22×C4C23×D7911yescharacteristic
1415C22×C4C23×D7911yescharacteristic
1416C22×C4C23×D7911yescharacteristic
1417C22×C4C23×D7911yescharacteristic
1418C22×C4C23×D7911yescharacteristic
1419C22×C4C23×D7911yescharacteristic
1420C22×C4C23×D7911yescharacteristic
1421C22×C4C23×D7911yescharacteristic
1422C4⋊C4—3161no—
1423C4⋊C4—3161no—
1424C4⋊C4—3161no—
1425C4⋊C4—3161no—
1426C4⋊C4—3161no—
1427C4⋊C4—3161no—
1428C4⋊C4—3161no—
1429C4⋊C4—3161no—
1430C4⋊C4—3161no—
1431C4⋊C4—3161no—
1432C4⋊C4—3161no—
1433C4⋊C4—3161no—
1434C4⋊C4—3161no—
1435C4⋊C4—3161no—
1436C4⋊C4—1582no—
1437C4⋊C4—1582no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—3161no—
1453C22⋊C4—3161no—
1454C22⋊C4—3161no—
1455C22⋊C4—3161no—
1456C22⋊C4—3161no—
1457C22⋊C4—3161no—
1458C22⋊C4—3161no—
1459C22⋊C4—3161no—
1460C22⋊C4—3161no—
1461C22⋊C4—3161no—
1462C22⋊C4—3161no—
1463C22⋊C4—3161no—
1464C22⋊C4—3161no—
1465C22⋊C4—3161no—
1466C22⋊C4—3161no—
1467C22⋊C4—3161no—
1468C22⋊C4—3161no—
1469C22⋊C4—3161no—
1470C22⋊C4—3161no—
1471C22⋊C4—3161no—
1472C22⋊C4—3161no—
1473C22⋊C4—3161no—
1474C22⋊C4—3161no—
1475C22⋊C4—3161no—
1476C22⋊C4—3161no—
1477C22⋊C4—3161no—
1478C22⋊C4—3161no—
1479C22⋊C4—3161no—
1480C22⋊C4—3161no—
1481C22⋊C4—3161no—
1482C22⋊C4—3161no—
1483C22⋊C4—3161no—
1484C22⋊C4—3161no—
1485C22⋊C4—3161no—
1486C22⋊C4—1582no—
1487C22⋊C4—1582no—
1488C22⋊C4—1582no—
1489C22⋊C4—1582no—
1490C22⋊C4—1582no—
1491C22⋊C4—1582no—
1492C22⋊C4—1582no—
1493C22⋊C4—1582no—
1494C22⋊C4—1582no—
1495C22⋊C4—1582no—
1496C22⋊C4—1582no—
1497C22⋊C4—1582no—
1498C42—3161no—
1499C42—3161no—
1500C42—3161no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—28no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23—82no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—1581no—
1565C23—1581no—
1566C23—1581no—
1567C23—1581no—
1568C23—1581no—
1569C23—1581no—
1570C23—1581no—
1571C23C2×#1192962312yes—
1572C23C2×#1192962312yes—
1573C23C2×#1192962312yes—
1574C23#1457920612yes—
1575C23#1457920612yes—
1576C23#1457920612yes—
1577C23#1457920612yes—
1578C23C24×D7911yescharacteristic
1579Q8—6322no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—82no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—3164no—
1593D4—6322no—
1594D4—6322no—
1595D4—6322no—
1596D4—6322no—
1597D4—6322no—
1598D4—6322no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—3164no—
1626C2×C4—3164no—
1627C2×C4—3164no—
1628C2×C4—3164no—
1629C2×C4—3164no—
1630C2×C4—3164no—
1631C2×C4—792no—
1632C2×C4—6322no—
1633C2×C4—6322no—
1634C2×C4—6322no—
1635C2×C4—6322no—
1636C2×C4—6322no—
1637C2×C4—1581no—
1638C2×C4—1581no—
1639C2×C4—1581no—
1640C2×C4—1581no—
1641C2×C4—1581no—
1642C2×C4—1581no—
1643C2×C4—1581no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1581no—
1648C2×C4—1581no—
1649C2×C4—1581no—
1650C2×C4—1581no—
1651C2×C4—1581no—
1652C2×C4—1581no—
1653C2×C4—1581no—
1654C2×C4—1581no—
1655C2×C4—1581no—
1656C2×C4—1581no—
1657C2×C4—1581no—
1658C2×C4—1581no—
1659C2×C4—1581no—
1660C2×C4—1581no—
1661C2×C4—1581no—
1662C2×C4—1581no—
1663C2×C4—1581no—
1664C2×C4—1581no—
1665C2×C4—1581no—
1666C2×C4—1581no—
1667C2×C4—1581no—
1668C2×C4—1581no—
1669C2×C4—1581no—
1670C2×C4—1581no—
1671C2×C4—1581no—
1672C2×C4—1581no—
1673C2×C4—1581no—
1674C2×C4—1581no—
1675C2×C4—1581no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1581no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—88no—
1731C22—88no—
1732C22—3161no—
1733C22—3161no—
1734C22—3161no—
1735C22—3161no—
1736C22—3161no—
1737C22—3161no—
1738C22—3161no—
1739C22#1909914814yes—
1740C22C22×#1192962311yescharacteristic
1741C22H(5,𝔽2)×D7911yescharacteristic
1742C22C2×#1457920611yescharacteristic
1743C22C2×#1457920611yescharacteristic
1744C22C2×#1457920611yescharacteristic
1745C22C2×#1457920611yescharacteristic
1746C22#1909939811yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—3161no—
1756C4—3161no—
1757C4—3161no—
1758C4—3161no—
1759C4—3161no—
1760C4—3161no—
1761C4—3161no—
1762C4—3161no—
1763C4—3161no—
1764C4—3161no—
1765C4—3161no—
1766C4—3161no—
1767C4—3161no—
1768C4—3161no—
1769C4—1582no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—42no—
1775C2—81no—
1776C2—81no—
1777C2—6321no—
1778C2C2×#1909914811yescharacteristic
1779C2#2377708711yescharacteristic
1780C2#2377723711yescharacteristic
1781C2#2377755011yescharacteristic
1782C2#2377757811yescharacteristic
1783C2#2377757811yescharacteristic
1784C2#2377763011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2403C2
hypercenter#2403D79
hypocenterC79#36776
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2403

Complements

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

NH ≅ G/Ntype
1. #23771690C2semidirect
2. #23771680C2semidirect
3. #23771011C2semidirect
4. #23771011C2semidirect
5. #23770776C2semidirect
6. #23770638C2semidirect
7. #23770625C2semidirect
8. #23770623C2semidirect
9. #23770537C2semidirect
10. #23770048C2semidirect
11. #23769961C2semidirect
12. #23769949C2semidirect
13. #23769842C2semidirect
14. #23769835C2semidirect
15. #23769778C2semidirect
16. #23769725C2semidirect
17. #23769694C2semidirect
18. #23769604C2semidirect
19. #23769355C2semidirect
20. #23769330C2semidirect
21. #23767958C2semidirect
22. #23767525C2semidirect
23. #23767156C2semidirect
24. #23767066C2semidirect
25. #23766932C2semidirect
26. #23766774C2semidirect
27. #23766774C2semidirect
28. #23766055C2semidirect
29. #23765978C2semidirect
30. C2×#19098443C2semidirect
31. C79×#2403C2semidirect
32. C24×Dic79C22semidirect
33. C2×#14579148C22semidirect
34. C2×#14579142C22semidirect
35. C2×#14579142C22semidirect
36. C2×#14579138C22semidirect
37. C2×#14579138C22semidirect
40. C2×#14579133C22semidirect
41. C2×#14579133C22semidirect
42. C2×#14579133C22semidirect
43. C2×#14579133C22semidirect
44. C2×#14579132C22semidirect
46. C2×#14579130C22semidirect
47. C2×#14579130C22semidirect
48. C2×(C22⋊D79)⋊C4C22semidirect
52. C22×C22⋊Dic79C22semidirect
53. C79⋊#401C22semidirect
54. C79⋊#401C22semidirect
55. #19098505C22semidirect
56. #19098505C22semidirect
57. #19098504C22semidirect
58. #19098504C22semidirect
59. #19098504C22semidirect
60. #19098504C22semidirect
61. #19098503C22semidirect
62. #19098499C22semidirect
63. #19098492C22semidirect
64. #19098492C22semidirect
65. #19098491C22semidirect
66. #19098491C22semidirect
67. #19098491C22semidirect
68. #19098491C22semidirect
69. #19098491C22semidirect
70. #19098491C22semidirect
71. #19098488C22semidirect
72. #19098488C22semidirect
73. #19098486C22semidirect
74. #19098486C22semidirect
75. #19098486C22semidirect
76. #19098486C22semidirect
77. #19098479C22semidirect
78. #19098479C22semidirect
79. #19098478C22semidirect
80. #19098478C22semidirect
83. #19098477C22semidirect
84. #19098477C22semidirect
85. #19098477C22semidirect
86. #19098477C22semidirect
87. #19098477C22semidirect
88. #19098476C22semidirect
89. #19098475C22semidirect
90. #19098475C22semidirect
91. #19098475C22semidirect
94. #19098471C22semidirect
95. #19098471C22semidirect
96. #19098471C22semidirect
97. #19098466C22semidirect
98. #19098466C22semidirect
99. #19098463C22semidirect
100. #19098463C22semidirect
101. #19098457C22semidirect
102. #19098457C22semidirect
103. #19098457C22semidirect
104. #19098457C22semidirect
105. #19098457C22semidirect
106. #19098457C22semidirect
107. #19098451C22semidirect
108. #19098451C22semidirect
109. #19098451C22semidirect
110. #19098451C22semidirect
111. #19098445C22semidirect
112. #19098445C22semidirect
123. #19098443C22semidirect
124. #19098443C22semidirect
125. #19098443C22semidirect
126. #19098443C22semidirect
127. #19098443C22semidirect
128. #19098443C22semidirect
129. #19098443C22semidirect
130. #19098443C22semidirect
131. #19098443C22semidirect
132. #19098443C22semidirect
133. #19098443C22semidirect
134. #19098443C22semidirect
135. #19098443C22semidirect
136. #19098443C22semidirect
137. #19098442C22semidirect
138. #19098442C22semidirect
139. #19098440C22semidirect
140. #19098440C22semidirect
141. #19098440C22semidirect
142. #19098439C22semidirect
143. #19098439C22semidirect
144. #19098439C22semidirect
145. #19098439C22semidirect
146. #19098438C22semidirect
147. #19098438C22semidirect
148. #19098436C22semidirect
149. #19098436C22semidirect
150. #19098435C22semidirect
151. #19098435C22semidirect
152. #19098435C22semidirect
153. #19098435C22semidirect
154. #19098435C22semidirect
155. #19098430C22semidirect
156. #19098426C22semidirect
157. #19098426C22semidirect
158. #19098425C22semidirect
159. #19098424C22semidirect
160. #19098424C22semidirect
161. #19098421C22semidirect
162. #19098421C22semidirect
163. #19098421C22semidirect
164. #19098421C22semidirect
165. #19098419C22semidirect
166. #19098419C22semidirect
167. #19098419C22semidirect
168. #19098419C22semidirect
169. C22⋊C4×Dic79C22semidirect
170. C2×C79⋊#95C22semidirect
171. C2×C79⋊#95C22semidirect
920. #2403D79semidirect
924. C79#36776semidirect

Maximal subgroups

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

subgroupindex
#237716902
#237716802
#237710112
#237707762
#237706382
#237706252
#237706232
#237705372
#237700482
#237699612
#237699492
#237698422
#237698352
#237697782
#237697252
#237696942
#237696042
#237693552
#237693302
#237679582
#237675252
#237671562
#237670662
#237669322
#237667742
#237660552
#237659782
C2×#190984432
C79×#24032
#3677679