Finite Group Databasebeta

← #34495815

Subgroups — #34495815

Order 20224.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099178C211yesmaximal, characteristic, complemented
2#23771729C211yesmaximal, characteristic, complemented
3#23771699C211yesmaximal, characteristic, complemented
4#23770315C211yesmaximal, characteristic, complemented
5#23770222C211yesmaximal, characteristic, complemented
6#23770205C211yesmaximal, characteristic, complemented
7#23770166C211yesmaximal, characteristic, complemented
8#23769994C211yesmaximal, characteristic, complemented
9#23769970C211yesmaximal, characteristic, complemented
10#23769946C211yesmaximal, characteristic, complemented
11#23769877C211yesmaximal, characteristic, complemented
12#23769832C211yesmaximal, characteristic, complemented
13#23769802C211yesmaximal, characteristic, complemented
14#23769787C211yesmaximal, characteristic, complemented
15#23769778C211yesmaximal, characteristic, complemented
16#23769701C211yesmaximal, characteristic, complemented
17#23769681C211yesmaximal, characteristic, complemented
18#23769622C211yesmaximal, characteristic, complemented
19#23769604C211yesmaximal, characteristic, complemented
20#23769550C211yesmaximal, characteristic, complemented
21#23769529C211yesmaximal, characteristic, complemented
22#23769089C211yesmaximal, characteristic, complemented
23#23769040C211yesmaximal, characteristic, complemented
24#23769012C211yesmaximal, characteristic, complemented
25#23768999C211yesmaximal, characteristic, complemented
26#23768889C211yesmaximal, characteristic, complemented
27#23768558C211yesmaximal, characteristic, complemented
28#23766829C211yesmaximal, characteristic, complemented
29#23766785C211yesmaximal, characteristic, complemented
30#23765845C211yesmaximal, characteristic, complemented
31C2×#538×C79C211yesmaximal, characteristic, complemented
32#19099178—28no—
33C2×#14579160C2211yescharacteristic, complemented
34C2×#14579154C2211yescharacteristic
35C2×#14579154C2211yescharacteristic, complemented
36C2×#14579148C2211yescharacteristic
37C2×#14579148C2211yescharacteristic
38C2×#14579147C2211yescharacteristic
39C2×#14579147C2211yescharacteristic, complemented
40C2×#14579144C2211yescharacteristic
41C2×#14579144C2211yescharacteristic, complemented
42C2×#14579141C2211yescharacteristic, complemented
43C2×#14579140C2211yescharacteristic
44C2×#14579140C2211yescharacteristic, complemented
45C2×#14579140C2211yescharacteristic, complemented
46C2×#14579133C2211yescharacteristic
47C2×#14579132C2211yescharacteristic
48C2×#14579130C2211yescharacteristic
49C2×C4×Dic158C2211yescharacteristic, complemented
50C2×#14579120C2211yescharacteristic
51C2×#14579118C2211yescharacteristic, complemented
52C22×C4×Dic79C2211yescharacteristic, complemented
53#19098502C2211yescharacteristic, complemented
54#19098502C2211yescharacteristic, complemented
55#19098499C2211yescharacteristic
56#19098499C2211yescharacteristic
57#19098496C2211yescharacteristic, complemented
58#19098494C2211yescharacteristic, complemented
59#19098491C2211yescharacteristic
60#19098491C2211yescharacteristic
61#19098491C2211yescharacteristic
62#19098491C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic, complemented
64#19098489C2211yescharacteristic, complemented
65#19098488C2211yescharacteristic
66#19098488C2211yescharacteristic
67#19098488C2211yescharacteristic
68#19098488C2211yescharacteristic, complemented
69#19098486C2211yescharacteristic
70#19098486C2211yescharacteristic
71#19098486C2211yescharacteristic
72#19098485C2211yescharacteristic, complemented
73#19098483C2211yescharacteristic, complemented
74#19098483C2211yescharacteristic, complemented
75#19098482C2211yescharacteristic, complemented
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098478C2211yescharacteristic
80#19098477C2211yescharacteristic
81#19098477C2211yescharacteristic
82#19098477C2211yescharacteristic
83#19098477C2211yescharacteristic
84#19098477C2211yescharacteristic
85#19098477C2211yescharacteristic
86#19098477C2211yescharacteristic
87#19098477C2211yescharacteristic
88#19098477C2211yescharacteristic, complemented
89#19098475C2211yescharacteristic
90#19098475C2211yescharacteristic
91#19098475C2211yescharacteristic
92#19098475C2211yescharacteristic
93#19098475C2211yescharacteristic
94#19098475C2211yescharacteristic, complemented
95#19098474C2211yescharacteristic, complemented
96#19098471C2211yescharacteristic
97#19098471C2211yescharacteristic
98#19098471C2211yescharacteristic
99#19098471C2211yescharacteristic
100#19098471C2211yescharacteristic, complemented
101#19098470C2211yescharacteristic, complemented
102#19098470C2211yescharacteristic, complemented
103#19098469C2211yescharacteristic, complemented
104#19098468C2211yescharacteristic, complemented
105#19098466C2211yescharacteristic
106#19098466C2211yescharacteristic
107#19098466C2211yescharacteristic
108#19098463C2211yescharacteristic
109#19098463C2211yescharacteristic
110#19098463C2211yescharacteristic
111#19098463C2211yescharacteristic, complemented
112#19098461C2211yescharacteristic, complemented
113#19098458C2211yescharacteristic, complemented
114#19098458C2211yescharacteristic, complemented
115#19098458C2211yescharacteristic, complemented
116#19098458C2211yescharacteristic, complemented
117#19098457C2211yescharacteristic
118#19098457C2211yescharacteristic
119#19098457C2211yescharacteristic
120#19098457C2211yescharacteristic
121#19098457C2211yescharacteristic
122#19098457C2211yescharacteristic
123#19098457C2211yescharacteristic
124#19098457C2211yescharacteristic, complemented
125#19098457C2211yescharacteristic, complemented
126#19098457C2211yescharacteristic, complemented
127#19098456C2211yescharacteristic
128#19098456C2211yescharacteristic
129#19098454C2211yescharacteristic, complemented
130#19098453C2211yescharacteristic, complemented
131#19098453C2211yescharacteristic, complemented
132#19098451C2211yescharacteristic
133#19098451C2211yescharacteristic
134#19098451C2211yescharacteristic
135#19098451C2211yescharacteristic
136#19098451C2211yescharacteristic, complemented
137#19098449C2211yescharacteristic, complemented
138#19098449C2211yescharacteristic, complemented
139#19098447C2211yescharacteristic, complemented
140#19098444C2211yescharacteristic, complemented
141#19098444C2211yescharacteristic, complemented
142#19098444C2211yescharacteristic, complemented
143#19098443C2211yescharacteristic
144#19098443C2211yescharacteristic
145#19098443C2211yescharacteristic
146#19098443C2211yescharacteristic
147#19098443C2211yescharacteristic
148#19098443C2211yescharacteristic, complemented
149#19098443C2211yescharacteristic, complemented
150#19098442C2211yescharacteristic
151#19098442C2211yescharacteristic, complemented
152#19098440C2211yescharacteristic, complemented
153#19098439C2211yescharacteristic
154#19098439C2211yescharacteristic
155#19098439C2211yescharacteristic, complemented
156#19098438C2211yescharacteristic, complemented
157#19098438C2211yescharacteristic, complemented
158#19098436C2211yescharacteristic
159#19098436C2211yescharacteristic, complemented
160#19098434C2211yescharacteristic, complemented
161#19098428C2211yescharacteristic, complemented
162#19098426C2211yescharacteristic
163#19098426C2211yescharacteristic
164#19098423C2211yescharacteristic, complemented
165#19098421C2211yescharacteristic, complemented
166#19098419C2211yescharacteristic
167#19098419C2211yescharacteristic
168#19098419C2211yescharacteristic
169C4×C4⋊Dic79C2211yescharacteristic, complemented
170C4×C22⋊Dic79C2211yescharacteristic
171C4×C22⋊Dic79C2211yescharacteristic, complemented
172#19098409C2211yescharacteristic, complemented
173#538×C79—28no—
174C2×#126×C79C2211yescharacteristic
175C2×#126×C79C2211yescharacteristic
176C2×#124×C79C2211yescharacteristic
177C2×#124×C79C2211yescharacteristic
178C2×#123×C79C2211yescharacteristic
179C2×#123×C79C2211yescharacteristic
180C2×C22⋊Q8×C79C2211yescharacteristic
181C2×#121×C79C2211yescharacteristic
182C2×#121×C79C2211yescharacteristic
183C2×#121×C79C2211yescharacteristic
184C2×#120×C79C2211yescharacteristic
185C2×#120×C79C2211yescharacteristic
186C2×C4×D4×C79C2211yescharacteristic
187C2×C4×D4×C79C2211yescharacteristic
188C22×C22⋊C4×C79C2211yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C22×C4×D79C2311yescharacteristic
200#14579160—24no—
201#14579154—24no—
202#14579154—24no—
203#14579148—24no—
204#14579148—42no—
205#14579147—24no—
206#14579147—24no—
207#14579144—24no—
208#14579144—24no—
209#14579141—24no—
210#14579140—24no—
211#14579140—24no—
212#14579140—42no—
213#14579133—42no—
214#14579132—24no—
215#14579130—42no—
216C4×Dic158—24no—
217#14579120—42no—
218#14579118—24no—
219C2×C4⋊Dic79C2311yescharacteristic
220C2×C4⋊Dic79C2311yescharacteristic
221C2×C4⋊Dic79C2311yescharacteristic
222C2×C4⋊Dic79C2311yescharacteristic
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×Dic79⋊C4C2311yescharacteristic
227C2×Dic79⋊C4C2311yescharacteristic
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⋊Dic79C2311yescharacteristic
242C2×C22⋊Dic79C2311yescharacteristic
243C2×C22⋊Dic79C2311yescharacteristic
244C2×C22⋊Dic79C2311yescharacteristic
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×(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×C4×Dic79—42no—
284C2×C4×Dic79C2311yescharacteristic
285C2×C4×Dic79C2311yescharacteristic
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C79⋊#95C2311yescharacteristic
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
329C25×C79C2311yescharacteristic
330C22×Q8×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C22×D4×C79C2311yescharacteristic
337C22×D4×C79C2311yescharacteristic
338C23×C4×C79C2311yescharacteristic
339C23×C4×C79C2311yescharacteristic
340C23×C4×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342#126×C79—24no—
343#126×C79—24no—
344#124×C79—24no—
345#124×C79—24no—
346#123×C79—24no—
347#123×C79—24no—
348C22⋊Q8×C79—24no—
349#121×C79—24no—
350#121×C79—24no—
351#121×C79—24no—
352#120×C79—24no—
353#120×C79—24no—
354C4×D4×C79—24no—
355C4×D4×C79D418yescomplemented
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79—24no—
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
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C42×C79C2311yescharacteristic
378C2×C42×C79C2311yescharacteristic
379C23×D79C2411yescharacteristic
380C2×Dic158—22no—
381C2×Dic158—22no—
382C2×Dic158—22no—
383C2×Dic158—41no—
384C2×Dic158—41no—
385C2×Dic158—41no—
386C2×Dic158—41no—
387C2×Dic158—41no—
388C2×Dic158—41no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
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—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C22×Dic79—22no—
405C22×Dic79—41no—
406C22×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C2×C4×D79—22no—
426C2×C4×D79—41no—
427C2×C4×D79—41no—
428C4⋊Dic79—22no—
429C4⋊Dic79—22no—
430C4⋊Dic79—22no—
431C4⋊Dic79—22no—
432C4⋊Dic79—41no—
433C4⋊Dic79—41no—
434C4⋊Dic79—41no—
435Dic79⋊C4—22no—
436Dic79⋊C4—22no—
437Dic79⋊C4—22no—
438Dic79⋊C4—22no—
439Dic79⋊C4—22no—
440Dic79⋊C4—22no—
441Dic79⋊C4—22no—
442Dic79⋊C4—41no—
443Dic79⋊C4—41no—
444Dic79⋊C4—41no—
445Dic79⋊C4—41no—
446Dic79⋊C4—41no—
447Dic79⋊C4—41no—
448Dic79⋊C4—41no—
449Dic79⋊C4—41no—
450C22⋊Dic79—22no—
451C22⋊Dic79—22no—
452C22⋊Dic79—22no—
453C22⋊Dic79—22no—
454C22⋊Dic79—22no—
455C22⋊Dic79—22no—
456C22⋊Dic79—22no—
457C22⋊Dic79—22no—
458C22⋊Dic79—22no—
459C22⋊Dic79—41no—
460C22⋊Dic79—41no—
461C22⋊Dic79—41no—
462C22⋊Dic79—41no—
463C22⋊Dic79—41no—
464C22⋊Dic79—41no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470C22⋊Dic79—41no—
471C22⋊Dic79—41no—
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—41no—
483(C2×D79)⋊C4—22no—
484(C2×D79)⋊C4—22no—
485(C2×D79)⋊C4—22no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—41no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492C4×Dic79—22no—
493C4×Dic79—22no—
494C4×Dic79—22no—
495C4×Dic79—22no—
496C4×Dic79—22no—
497C4×Dic79—41no—
498C4×Dic79—41no—
499C4×Dic79—41no—
500C4×Dic79—41no—
501C24×C79—22no—
502C24×C79—41no—
503C24×C79—41no—
504C24×C79—41no—
505C24×C79—41no—
506C24×C79—41no—
507C24×C79—41no—
508C24×C79C2411yescharacteristic
509C24×C79C2411yescharacteristic
510C24×C79C2411yescharacteristic
511C24×C79C2411yescharacteristic
512C24×C79C2411yescharacteristic
513C2×Q8×C79—22no—
514C2×Q8×C79—41no—
515C2×Q8×C79—41no—
516C2×D4×C79—22no—
517C2×D4×C79—22no—
518C2×D4×C79—22no—
519C2×D4×C79—22no—
520C2×D4×C79—22no—
521C2×D4×C79—22no—
522C2×D4×C79—41no—
523C2×D4×C79—41no—
524C2×D4×C79—41no—
525C2×D4×C79—41no—
526C2×D4×C79—41no—
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C2×D4×C79—41no—
531C2×D4×C79—41no—
532C2×D4×C79—41no—
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79—41no—
536C2×D4×C79C2×D414yes—
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×C79—41no—
547C22×C4×C79C2×D414yes—
548C22×C4×C79C2×D414yes—
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
558C22×C4×C79C2411yescharacteristic
559C4⋊C4×C79—22no—
560C4⋊C4×C79—22no—
561C4⋊C4×C79—22no—
562C4⋊C4×C79—22no—
563C4⋊C4×C79—22no—
564C4⋊C4×C79C2×D414yes—
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—22no—
572C22⋊C4×C79—22no—
573C22⋊C4×C79—22no—
574C22⋊C4×C79—22no—
575C22⋊C4×C79—22no—
576C22⋊C4×C79—22no—
577C22⋊C4×C79C2×D414yes—
578C22⋊C4×C79C2×D414yes—
579C42×C79—22no—
580C42×C79C2×D414yes—
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×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—44no—
615C23×C79—82no—
616C23×C79—82no—
617C23×C79—82no—
618C23×C79—82no—
619C23×C79—82no—
620C23×C79—82no—
621C23×C79C22×D412yes—
622C23×C79C22×D412yes—
623C23×C79C2511yescharacteristic
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631Q8×C79—82no—
632D4×C79—44no—
633D4×C79—44no—
634D4×C79—82no—
635D4×C79—82no—
636D4×C79—82no—
637D4×C79—82no—
638D4×C79—82no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—44no—
665C2×C4×C79—44no—
666C2×C4×C79—82no—
667C2×C4×C79—82no—
668C2×C4×C79C22×D412yes—
669C2×C4×C79C22×D412yes—
670C2×C4×C79C22×D412yes—
671C2×C4×C79C22×D412yes—
672C2×C4×C79C22×D412yes—
673C22⋊D79—82no—
674C22⋊D79—82no—
675C22⋊D79—82no—
676C22⋊D79—82no—
677C22⋊D79—82no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—44no—
723C2×Dic79—44no—
724C2×Dic79H(5,𝔽2)12yes—
725C4×D79—44no—
726Dic158—44no—
727Dic158—82no—
728Dic158—82no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—88no—
765C22×C79C23×D411yescharacteristic
766C22×C79C2×H(5,𝔽2)11yescharacteristic
767C22×C79#58511yescharacteristic
768C22×C79#58511yescharacteristic
769C22×C79#58511yescharacteristic
770C22×C79#58511yescharacteristic
771C22×C79#58511yescharacteristic
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—41no—
779C4×C79—22no—
780C4×C79—22no—
781C4×C79—22no—
782C4×C79—22no—
783C4×C79—22no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789Dic79—22no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804#36745—791nomaximal, Sylow
805C2×C79—42no—
806C2×C79—42no—
807C2×C79—81no—
808C2×C79—81no—
809C2×C79—81no—
810C2×C79#344911yescharacteristic
811C2×C79#349611yescharacteristic
812C2×C79#350011yescharacteristic
813C2×C79#353311yescharacteristic
814C2×C79#354011yescharacteristic
815C2×C79#356611yescharacteristic
816C2×C79#356811yescharacteristic
817D79—81no—
818C2×#542—791no—
819C2×#538D7911yescharacteristic, complemented
820#2854—791no—
821#2850—791no—
822#2723—791no—
823#2716—791no—
824#2715—791no—
825#2712—791no—
826#2700—791no—
827#2698—791no—
828#2696—791no—
829#2691—791no—
830#2688—791no—
831#2686—791no—
832#2685—791no—
833#2684—791no—
834#2676—791no—
835#2674—791no—
836#2670—791no—
837#2668—791no—
838#2663—791no—
839#2661—791no—
840#2610—791no—
841#2604—791no—
842#2602—791no—
843#2601—791no—
844#2592—791no—
845#2561—791no—
846#2415—791no—
847#2411—791no—
848#2290—791no—
849C79#3674511yescharacteristic, complemented, Sylow
850#542—1588no—
851#538—28no—
852C2×C4⋊Q8—791no—
853C2×#126—791no—
854C2×#126—791no—
855C2×#126C2×D7911yescharacteristic
856C2×#126C2×D7911yescharacteristic
857C2×#124—791no—
858C2×#124—791no—
859C2×#124—791no—
860C2×#124—791no—
861C2×#124C2×D7911yescharacteristic
862C2×#124C2×D7911yescharacteristic
863C2×#123—791no—
864C2×#123—791no—
865C2×#123C2×D7911yescharacteristic
866C2×#123C2×D7911yescharacteristic
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×C22⋊Q8—791no—
870C2×C22⋊Q8—791no—
871C2×C22⋊Q8C2×D7911yescharacteristic
872C2×#121—791no—
873C2×#121—791no—
874C2×#121C2×D7911yescharacteristic
875C2×#121C2×D7911yescharacteristic
876C2×#121C2×D7911yescharacteristic
877C2×#120—791no—
878C2×#120C2×D7911yescharacteristic
879C2×#120C2×D7911yescharacteristic
880C2×C4×Q8—791no—
881C2×C4×D4C2×D7911yescharacteristic
882C2×C4×D4C2×D7911yescharacteristic
883C2×#117—791no—
884C2×#117—791no—
885C22×C22⋊C4C2×D7911yescharacteristic
886C22×C42—791no—
887#400—791no—
888#400—791no—
889#399—791no—
890#399—791no—
891#398—791no—
892#398—791no—
893#397—791no—
894#397—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#396—791no—
904#396—791no—
905#396—791no—
906#396—791no—
907#395—791no—
908#395—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#394—791no—
923#393—791no—
924#393—791no—
925#393—791no—
926#393—791no—
927#393—791no—
928#393—791no—
929#393—791no—
930#392—791no—
931#392—791no—
932#392—791no—
933#392—791no—
934#392—791no—
935#391—791no—
936#391—791no—
937#391—791no—
938#391—791no—
939#390—791no—
940#390—791no—
941#390—791no—
942#390—791no—
943#390—791no—
944#390—791no—
945#390—791no—
946#389—791no—
947#389—791no—
948#389—791no—
949#389—791no—
950#389—791no—
951#388—791no—
952#388—791no—
953#388—791no—
954#388—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#387—791no—
972#387—791no—
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#386—791no—
978#386—791no—
979#386—791no—
980#386—791no—
981#386—791no—
982#386—791no—
983#386—791no—
984#386—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#385—791no—
991#385—791no—
992#385—791no—
993#385—791no—
994#385—791no—
995#382—791no—
996#381—791no—
997#381—791no—
998#380—791no—
999#380—791no—
1000#379—791no—
1001#379—791no—
1002#379—791no—
1003C4×C4⋊C4—791no—
1004C4×C22⋊C4—791no—
1005C4×C22⋊C4—791no—
1006#376—791no—
1007C25C22×D7911yescharacteristic
1008C22×Q8—791no—
1009C22×Q8—791no—
1010C22×Q8—791no—
1011C22×Q8C22×D7911yescharacteristic
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4C22×D7911yescharacteristic
1018C22×D4C22×D7911yescharacteristic
1019C22×D4C22×D7911yescharacteristic
1020C22×D4C22×D7911yescharacteristic
1021C22×D4C22×D7911yescharacteristic
1022C22×D4C22×D7911yescharacteristic
1023C22×D4C22×D7911yescharacteristic
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4C22×D7911yescharacteristic
1028C23×C4C22×D7911yescharacteristic
1029C23×C4C22×D7911yescharacteristic
1030C23×C4C22×D7911yescharacteristic
1031C4⋊Q8—1584no—
1032#126—24no—
1033#126—24no—
1034#126—1584no—
1035#126—1584no—
1036#124—24no—
1037#124—24no—
1038#124—3162no—
1039#124—1584no—
1040#124—1584no—
1041#124—1584no—
1042#123—24no—
1043#123—24no—
1044#123—1584no—
1045#123—1584no—
1046C22⋊Q8—24no—
1047C22⋊Q8—3162no—
1048C22⋊Q8—1584no—
1049C22⋊Q8—1584no—
1050C22⋊Q8—1584no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—3162no—
1055#121—1584no—
1056#120—24no—
1057#120—24no—
1058#120—3162no—
1059C4×Q8—1584no—
1060C4×D4—24no—
1061C4×D4C22⋊D7918yescomplemented
1062#117—3162no—
1063#117—1584no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1087C2×C4⋊C4C22×D7911yescharacteristic
1088C2×C4⋊C4C22×D7911yescharacteristic
1089C2×C4⋊C4C22×D7911yescharacteristic
1090C2×C4⋊C4C22×D7911yescharacteristic
1091C2×C4⋊C4C22×D7911yescharacteristic
1092C2×C22⋊C4—24no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C22⋊C4C22×D7911yescharacteristic
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4C22×D7911yescharacteristic
1142C2×C22⋊C4C22×D7911yescharacteristic
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×C42—3162no—
1150C2×C42—791no—
1151C2×C42—791no—
1152C2×C42—791no—
1153C2×C42—791no—
1154C2×C42—791no—
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42C22×D7911yescharacteristic
1160C2×C42C22×D7911yescharacteristic
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
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#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197C24—22no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24—791no—
1205C24C23×D7911yescharacteristic
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C24C23×D7911yescharacteristic
1209C24C23×D7911yescharacteristic
1210C2×Q8—22no—
1211C2×Q8—41no—
1212C2×Q8—41no—
1213C2×Q8—3161no—
1214C2×Q8—3161no—
1215C2×Q8—3161no—
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—3161no—
1219C2×Q8—1582no—
1220C2×Q8—1582no—
1221C2×Q8—1582no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
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—1582no—
1255C2×D4—1582no—
1256C2×D4—1582no—
1257C2×D4C2×C22⋊D7914yes—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—3161no—
1271C22×C4—3161no—
1272C22×C4—3161no—
1273C22×C4—3161no—
1274C22×C4—3161no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—791no—
1285C22×C4—791no—
1286C22×C4—791no—
1287C22×C4—791no—
1288C22×C4—791no—
1289C22×C4—791no—
1290C22×C4—1582no—
1291C22×C4—1582no—
1292C22×C4C2×C22⋊D7914yes—
1293C22×C4C2×C22⋊D7914yes—
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—1582no—
1321C4⋊C4—1582no—
1322C4⋊C4—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C4⋊C4—1582no—
1328C4⋊C4—1582no—
1329C4⋊C4—1582no—
1330C4⋊C4—1582no—
1331C4⋊C4C2×C22⋊D7914yes—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—3161no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C22⋊C4—1582no—
1383C22⋊C4—1582no—
1384C22⋊C4—1582no—
1385C22⋊C4—1582no—
1386C22⋊C4C2×C22⋊D7914yes—
1387C22⋊C4C2×C22⋊D7914yes—
1388C42—22no—
1389C42—3161no—
1390C42—3161no—
1391C42—3161no—
1392C42—3161no—
1393C42—1582no—
1394C42—1582no—
1395C42—1582no—
1396C42—1582no—
1397C42—1582no—
1398C42C2×C22⋊D7914yes—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
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—44no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23—82no—
1438C23—82no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23—1581no—
1446C23C22×C22⋊D7912yes—
1447C23C22×C22⋊D7912yes—
1448C23C24×D7911yescharacteristic
1449Q8—82no—
1450Q8—3164no—
1451Q8—6322no—
1452Q8—6322no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—6322no—
1461D4—6322no—
1462D4—6322no—
1463D4—6322no—
1464D4—6322no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—3164no—
1495C2×C4—3164no—
1496C2×C4—3164no—
1497C2×C4—792no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
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×C4C22×C22⋊D7912yes—
1543C2×C4C22×C22⋊D7912yes—
1544C2×C4C22×C22⋊D7912yes—
1545C2×C4C22×C22⋊D7912yes—
1546C2×C4C22×C22⋊D7912yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—88no—
1583C22—3161no—
1584C22—3161no—
1585C22—3161no—
1586C22—3161no—
1587C22—3161no—
1588C22—3161no—
1589C22—3161no—
1590C22C23×C22⋊D7911yescharacteristic
1591C22H(5,𝔽2)×D7911yescharacteristic
1592C22#1909939811yescharacteristic
1593C22#1909939811yescharacteristic
1594C22#1909939811yescharacteristic
1595C22#1909939911yescharacteristic
1596C22#1909939911yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—3161no—
1620C4—3161no—
1621C4—1582no—
1622C2—42no—
1623C2—42no—
1624C2—81no—
1625C2—81no—
1626C2—81no—
1627C2—6321no—
1628C2#2377672911yescharacteristic
1629C2#2377715911yescharacteristic
1630C2#2377718811yescharacteristic
1631C2#2377756711yescharacteristic
1632C2#2377767111yescharacteristic
1633C2#2377806411yescharacteristic
1634C2#2377809311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC2×#538×C79C2
hypercenterC2×#538D79
hypocenterC79#36745
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#19099178C2semidirect
2. #23771729C2semidirect
3. #23771699C2semidirect
4. #23770315C2semidirect
5. #23770222C2semidirect
6. #23770205C2semidirect
7. #23770166C2semidirect
8. #23769994C2semidirect
9. #23769970C2semidirect
10. #23769946C2semidirect
11. #23769877C2semidirect
12. #23769832C2semidirect
13. #23769802C2semidirect
14. #23769787C2semidirect
15. #23769778C2semidirect
16. #23769701C2semidirect
17. #23769681C2semidirect
18. #23769622C2semidirect
19. #23769604C2semidirect
20. #23769550C2semidirect
21. #23769529C2semidirect
22. #23769089C2semidirect
23. #23769040C2semidirect
24. #23769012C2semidirect
25. #23768999C2semidirect
26. #23768889C2semidirect
27. #23768558C2semidirect
28. #23766829C2semidirect
29. #23766785C2semidirect
30. #23765845C2semidirect
31. C2×#538×C79C2semidirect
33. C2×#14579160C22semidirect
35. C2×#14579154C22semidirect
39. C2×#14579147C22semidirect
41. C2×#14579144C22semidirect
42. C2×#14579141C22semidirect
44. C2×#14579140C22semidirect
45. C2×#14579140C22semidirect
49. C2×C4×Dic158C22semidirect
51. C2×#14579118C22semidirect
52. C22×C4×Dic79C22semidirect
53. #19098502C22semidirect
54. #19098502C22semidirect
57. #19098496C22semidirect
58. #19098494C22semidirect
62. #19098491C22semidirect
63. #19098491C22semidirect
64. #19098489C22semidirect
68. #19098488C22semidirect
72. #19098485C22semidirect
73. #19098483C22semidirect
74. #19098483C22semidirect
75. #19098482C22semidirect
88. #19098477C22semidirect
94. #19098475C22semidirect
95. #19098474C22semidirect
100. #19098471C22semidirect
101. #19098470C22semidirect
102. #19098470C22semidirect
103. #19098469C22semidirect
104. #19098468C22semidirect
111. #19098463C22semidirect
112. #19098461C22semidirect
113. #19098458C22semidirect
114. #19098458C22semidirect
115. #19098458C22semidirect
116. #19098458C22semidirect
124. #19098457C22semidirect
125. #19098457C22semidirect
126. #19098457C22semidirect
129. #19098454C22semidirect
130. #19098453C22semidirect
131. #19098453C22semidirect
136. #19098451C22semidirect
137. #19098449C22semidirect
138. #19098449C22semidirect
139. #19098447C22semidirect
140. #19098444C22semidirect
141. #19098444C22semidirect
142. #19098444C22semidirect
148. #19098443C22semidirect
149. #19098443C22semidirect
151. #19098442C22semidirect
152. #19098440C22semidirect
155. #19098439C22semidirect
156. #19098438C22semidirect
157. #19098438C22semidirect
159. #19098436C22semidirect
160. #19098434C22semidirect
161. #19098428C22semidirect
164. #19098423C22semidirect
165. #19098421C22semidirect
169. C4×C4⋊Dic79C22semidirect
171. C4×C22⋊Dic79C22semidirect
172. #19098409C22semidirect
355. C4×D4×C79D4semidirect
819. C2×#538D79semidirect
849. C79#36745semidirect
1061. C4×D4C22⋊D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991782
#237717292
#237716992
#237703152
#237702222
#237702052
#237701662
#237699942
#237699702
#237699462
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