Finite Group Databasebeta

← #34495826

Subgroups — #34495826

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×#19099187C211yesmaximal, characteristic, complemented
2C2×#19099149C211yesmaximal, characteristic, complemented
3#23771733C211yesmaximal, characteristic, complemented
4#23771696C211yesmaximal, characteristic, complemented
5#23770317C211yesmaximal, characteristic, complemented
6#23770220C211yesmaximal, characteristic, complemented
7#23770218C211yesmaximal, characteristic, complemented
8#23770171C211yesmaximal, characteristic, complemented
9#23769997C211yesmaximal, characteristic, complemented
10#23769969C211yesmaximal, characteristic, complemented
11#23769946C211yesmaximal, characteristic, complemented
12#23769885C211yesmaximal, characteristic, complemented
13#23769841C211yesmaximal, characteristic, complemented
14#23769807C211yesmaximal, characteristic, complemented
15#23769790C211yesmaximal, characteristic, complemented
16#23769781C211yesmaximal, characteristic, complemented
17#23769697C211yesmaximal, characteristic, complemented
18#23769621C211yesmaximal, characteristic, complemented
19#23769609C211yesmaximal, characteristic, complemented
20#23769555C211yesmaximal, characteristic, complemented
21#23769535C211yesmaximal, characteristic, complemented
22#23769085C211yesmaximal, characteristic, complemented
23#23769039C211yesmaximal, characteristic, complemented
24#23769016C211yesmaximal, characteristic, complemented
25#23769003C211yesmaximal, characteristic, complemented
26#23768884C211yesmaximal, characteristic, complemented
27#23768554C211yesmaximal, characteristic, complemented
28#23766825C211yesmaximal, characteristic, complemented
29#23766780C211yesmaximal, characteristic, complemented
30#23765838C211yesmaximal, characteristic, complemented
31C79×#2674C211yesmaximal, characteristic, complemented
32#19099187—28no—
33#19099149—28no—
34C2×#14579156C2211yescharacteristic
35C2×#14579156C2211yescharacteristic
36C2×#14579156C2211yescharacteristic, complemented
37C2×#14579154C2211yescharacteristic
38C2×#14579150C2211yescharacteristic
39C2×#14579150C2211yescharacteristic, complemented
40C2×#14579149C2211yescharacteristic
41C2×#14579147C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579146C2211yescharacteristic
44C2×#14579146C2211yescharacteristic
45C2×#14579146C2211yescharacteristic, complemented
46C2×#14579141C2211yescharacteristic
47C2×#14579141C2211yescharacteristic, complemented
48C2×#14579137C2211yescharacteristic
49C2×#14579137C2211yescharacteristic, complemented
50C2×#14579136C2211yescharacteristic
51C2×#14579136C2211yescharacteristic
52C2×#14579135C2211yescharacteristic
53C2×#14579134C2211yescharacteristic
54C2×#14579132C2211yescharacteristic
55C2×#14579131C2211yescharacteristic
56C2×#14579131C2211yescharacteristic
57C2×#14579129C2211yescharacteristic
58C2×#14579126C2211yescharacteristic, complemented
59C2×#14579123C2211yescharacteristic
60C2×C4×C22⋊D79C2211yescharacteristic
61C2×#14579119C2211yescharacteristic
62C2×#14579118C2211yescharacteristic, complemented
63C2×C22⋊C4×D79C2211yescharacteristic
64C2×C42×D79C2211yescharacteristic, complemented
65#19098502C2211yescharacteristic, complemented
66#19098501C2211yescharacteristic, complemented
67#19098500C2211yescharacteristic
68#19098497C2211yescharacteristic, complemented
69#19098493C2211yescharacteristic, complemented
70#19098492C2211yescharacteristic
71#19098490C2211yescharacteristic
72#19098490C2211yescharacteristic, complemented
73#19098490C2211yescharacteristic, complemented
74#19098490C2211yescharacteristic, complemented
75#19098489C2211yescharacteristic
76#19098489C2211yescharacteristic
77#19098489C2211yescharacteristic
78#19098488C2211yescharacteristic
79#19098486C2211yescharacteristic
80#19098485C2211yescharacteristic
81#19098485C2211yescharacteristic, complemented
82#19098484C2211yescharacteristic, complemented
83#19098483C2211yescharacteristic, complemented
84#19098480C2211yescharacteristic
85#19098480C2211yescharacteristic
86#19098480C2211yescharacteristic
87#19098480C2211yescharacteristic
88#19098479C2211yescharacteristic
89#19098479C2211yescharacteristic
90#19098479C2211yescharacteristic
91#19098479C2211yescharacteristic
92#19098478C2211yescharacteristic
93#19098478C2211yescharacteristic
94#19098478C2211yescharacteristic
95#19098478C2211yescharacteristic, complemented
96#19098476C2211yescharacteristic
97#19098476C2211yescharacteristic, complemented
98#19098475C2211yescharacteristic
99#19098475C2211yescharacteristic, complemented
100#19098474C2211yescharacteristic
101#19098474C2211yescharacteristic
102#19098472C2211yescharacteristic
103#19098472C2211yescharacteristic
104#19098472C2211yescharacteristic
105#19098472C2211yescharacteristic, complemented
106#19098471C2211yescharacteristic
107#19098470C2211yescharacteristic, complemented
108#19098470C2211yescharacteristic, complemented
109#19098467C2211yescharacteristic, complemented
110#19098467C2211yescharacteristic, complemented
111#19098466C2211yescharacteristic
112#19098465C2211yescharacteristic
113#19098464C2211yescharacteristic
114#19098463C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098463C2211yescharacteristic
117#19098463C2211yescharacteristic, complemented
118#19098462C2211yescharacteristic, complemented
119#19098459C2211yescharacteristic, complemented
120#19098459C2211yescharacteristic, complemented
121#19098459C2211yescharacteristic, complemented
122#19098456C2211yescharacteristic
123#19098456C2211yescharacteristic
124#19098455C2211yescharacteristic, complemented
125#19098454C2211yescharacteristic
126#19098454C2211yescharacteristic
127#19098453C2211yescharacteristic
128#19098453C2211yescharacteristic, complemented
129#19098452C2211yescharacteristic
130#19098452C2211yescharacteristic
131#19098452C2211yescharacteristic
132#19098452C2211yescharacteristic
133#19098452C2211yescharacteristic, complemented
134#19098451C2211yescharacteristic
135#19098451C2211yescharacteristic
136#19098451C2211yescharacteristic
137#19098451C2211yescharacteristic, complemented
138#19098451C2211yescharacteristic, complemented
139#19098451C2211yescharacteristic, complemented
140#19098449C2211yescharacteristic, complemented
141#19098449C2211yescharacteristic, complemented
142#19098449C2211yescharacteristic, complemented
143#19098447C2211yescharacteristic, complemented
144#19098444C2211yescharacteristic, complemented
145#19098442C2211yescharacteristic, complemented
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic
148#19098441C2211yescharacteristic
149#19098441C2211yescharacteristic
150#19098441C2211yescharacteristic
151#19098441C2211yescharacteristic, complemented
152#19098439C2211yescharacteristic
153#19098439C2211yescharacteristic
154#19098439C2211yescharacteristic
155#19098439C2211yescharacteristic, complemented
156#19098439C2211yescharacteristic, complemented
157#19098439C2211yescharacteristic, complemented
158#19098437C2211yescharacteristic, complemented
159#19098437C2211yescharacteristic, complemented
160#19098434C2211yescharacteristic
161#19098434C2211yescharacteristic, complemented
162#19098429C2211yescharacteristic, complemented
163#19098425C2211yescharacteristic
164#19098425C2211yescharacteristic
165#19098423C2211yescharacteristic, complemented
166#19098420C2211yescharacteristic, complemented
167#19098418C2211yescharacteristic
168#19098418C2211yescharacteristic
169#19098418C2211yescharacteristic
170#19098414C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic
172#19098410C2211yescharacteristic, complemented
173#19098408C2211yescharacteristic, complemented
174C2×C4⋊Q8×C79C2211yescharacteristic, complemented
175C2×#124×C79C2211yescharacteristic
176C2×#123×C79C2211yescharacteristic
177C2×C22⋊Q8×C79C2211yescharacteristic, complemented
178#399×C79C2211yescharacteristic
179#397×C79C2211yescharacteristic, complemented
180#396×C79C2211yescharacteristic
181#395×C79C2211yescharacteristic, complemented
182#394×C79C2211yescharacteristic
183#393×C79C2211yescharacteristic
184#389×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic
186#388×C79C2211yescharacteristic, complemented
187#387×C79C2211yescharacteristic, complemented
188#385×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209#14579156—24no—
210#14579156—24no—
211#14579156—24no—
212#14579154—24no—
213#14579150—24no—
214#14579150—24no—
215#14579149—24no—
216#14579147—24no—
217#14579147—24no—
218#14579146—24no—
219#14579146—24no—
220#14579146—24no—
221#14579141—24no—
222#14579141—24no—
223#14579137—24no—
224#14579137—24no—
225#14579136—24no—
226#14579136—42no—
227#14579135—24no—
228#14579134—24no—
229#14579132—24no—
230#14579131—24no—
231#14579131—42no—
232#14579129—24no—
233#14579126—24no—
234#14579123D418yescomplemented
235C4×C22⋊D79—24no—
236#14579119—42no—
237#14579118—24no—
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×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×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C22⋊C4×D79—24no—
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C42×D79—42no—
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C22×Q8×C79C2311yescharacteristic
341C22×Q8×C79C2311yescharacteristic
342C22×D4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344C4⋊Q8×C79—24no—
345#124×C79—42no—
346#123×C79—24no—
347C22⋊Q8×C79—42no—
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C4⋊C4×C79C2311yescharacteristic
352C2×C4⋊C4×C79C2311yescharacteristic
353C2×C4⋊C4×C79C2311yescharacteristic
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊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×C42×C79C2311yescharacteristic
370C2×C42×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379C23×D79—22no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79—41no—
383C23×D79—41no—
384C23×D79—41no—
385C23×D79—41no—
386C23×D79C2411yescharacteristic
387C23×D79C2411yescharacteristic
388C23×D79C2411yescharacteristic
389C23×D79C2411yescharacteristic
390C2×Dic158—22no—
391C2×Dic158—22no—
392C2×Dic158—41no—
393C2×Dic158—41no—
394C2×Dic158—41no—
395C2×Dic158—41no—
396C2×D316—22no—
397C2×D316—22no—
398C2×D316—22no—
399C2×D316—22no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316—41no—
404C2×D316—41no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316—41no—
408C2×D316—41no—
409C2×D316—41no—
410C2×D316C2×D414yes—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—41no—
416C2×C22⋊D79—41no—
417C2×C22⋊D79—41no—
418C2×C22⋊D79—41no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C2×C22⋊D79—41no—
422C2×C22⋊D79—41no—
423C2×C22⋊D79—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C2×C4×D79—22no—
442C2×C4×D79—22no—
443C2×C4×D79—22no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
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—
455C2×C4×D79—41no—
456C2×C4×D79—41no—
457C2×C4×D79C2×D414yes—
458C2×C4×D79C2×D414yes—
459C4⋊Dic79—22no—
460C4⋊Dic79—22no—
461C4⋊Dic79—22no—
462C4⋊Dic79—22no—
463C4⋊Dic79—41no—
464C4⋊Dic79—41no—
465C4⋊Dic79—41no—
466C4⋊Dic79—41no—
467Dic79⋊C4—22no—
468Dic79⋊C4—22no—
469Dic79⋊C4—22no—
470Dic79⋊C4—22no—
471Dic79⋊C4—22no—
472Dic79⋊C4—22no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
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—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518(C2×D79)⋊C4—41no—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4C2×D414yes—
521(C2×D79)⋊C4C2×D414yes—
522C4×Dic79—22no—
523C4×Dic79—22no—
524C4×Dic79—22no—
525C4×Dic79—22no—
526C4×Dic79—41no—
527C4×Dic79—41no—
528C4×Dic79—41no—
529C4×Dic79—41no—
530C4×Dic79C2×D414yes—
531C24×C79C2411yescharacteristic
532C24×C79C2411yescharacteristic
533C2×Q8×C79—22no—
534C2×Q8×C79—22no—
535C2×Q8×C79—41no—
536C2×Q8×C79—41no—
537C2×Q8×C79—41no—
538C2×Q8×C79—41no—
539C2×D4×C79—22no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C22×C4×C79—22no—
543C22×C4×C79—41no—
544C22×C4×C79—41no—
545C22×C4×C79C2411yescharacteristic
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—22no—
563C4⋊C4×C79—22no—
564C4⋊C4×C79—41no—
565C4⋊C4×C79—41no—
566C4⋊C4×C79—41no—
567C4⋊C4×C79C2×D414yes—
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—22no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79C2511yescharacteristic
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—44no—
623C22×D79—82no—
624C22×D79—82no—
625C22×D79—82no—
626C22×D79—82no—
627C22×D79—82no—
628C22×D79—82no—
629C22×D79C22×D412yes—
630C22×D79C22×D412yes—
631Q8×C79—82no—
632Q8×C79—82no—
633D4×C79—82no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
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—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—82no—
670C2×C4×C79C22×D412yes—
671C2×C4×C79C22×D412yes—
672C2×C4×C79C22×D412yes—
673C2×C4×C79H(5,𝔽2)12yes—
674C22⋊D79—44no—
675C22⋊D79—82no—
676C22⋊D79—82no—
677C22⋊D79—82no—
678C22⋊D79—82no—
679C22⋊D79—82no—
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×Dic79C22×D412yes—
715C2×Dic79C22×D412yes—
716D316—44no—
717D316—82no—
718D316—82no—
719D316—82no—
720D316—82no—
721C4×D79—44no—
722C4×D79—44no—
723C4×D79—44no—
724C4×D79—44no—
725C4×D79—44no—
726C4×D79—82no—
727Dic158—44no—
728Dic158—82no—
729C22×C79—41no—
730C22×C79—41no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79—41no—
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×C79C23×D411yescharacteristic
744C22×C79C2×H(5,𝔽2)11yescharacteristic
745C22×C79#58511yescharacteristic
746C22×C79#58511yescharacteristic
747C22×C79#58511yescharacteristic
748C22×C79#58511yescharacteristic
749C22×C79#58511yescharacteristic
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—22no—
755C2×D79—22no—
756C2×D79—41no—
757C2×D79—41no—
758C2×D79—41no—
759C2×D79—41no—
760C2×D79—41no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—88no—
779C4×C79—22no—
780C4×C79—22no—
781C4×C79—22no—
782C4×C79—22no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791C4×C79—41no—
792Dic79—22no—
793Dic79—22no—
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—81no—
806C2×C79—81no—
807C2×C79#344911yescharacteristic
808C2×C79#349611yescharacteristic
809C2×C79#350011yescharacteristic
810C2×C79#353311yescharacteristic
811C2×C79#354011yescharacteristic
812C2×C79#356611yescharacteristic
813C2×C79#356811yescharacteristic
814D79—42no—
815D79—42no—
816D79—81no—
817D79—81no—
818C2×#542—791no—
819C2×#538—791no—
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#2674D7911yescharacteristic, complemented
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—1588no—
852C2×C4⋊Q8C2×D7911yescharacteristic, complemented
853C2×#126—791no—
854C2×#126—791no—
855C2×#126—791no—
856C2×#126—791no—
857C2×#124—791no—
858C2×#124—791no—
859C2×#124—791no—
860C2×#124—791no—
861C2×#124—791no—
862C2×#124C2×D7911yescharacteristic
863C2×#123—791no—
864C2×#123—791no—
865C2×#123—791no—
866C2×#123C2×D7911yescharacteristic
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×C22⋊Q8—791no—
870C2×C22⋊Q8—791no—
871C2×C22⋊Q8C2×D7911yescharacteristic, complemented
872C2×#121—791no—
873C2×#121—791no—
874C2×#121—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#120—791no—
878C2×#120—791no—
879C2×#120—791no—
880C2×C4×Q8—791no—
881C2×C4×D4—791no—
882C2×C4×D4—791no—
883C2×#117—791no—
884C2×#117—791no—
885C22×C22⋊C4—791no—
886C22×C42—791no—
887#400—791no—
888#400—791no—
889#399—791no—
890#399C2×D7911yescharacteristic
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#397C2×D7911yescharacteristic, complemented
903#396—791no—
904#396—791no—
905#396—791no—
906#396C2×D7911yescharacteristic
907#395—791no—
908#395—791no—
909#395C2×D7911yescharacteristic, complemented
910#394—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#394C2×D7911yescharacteristic
923#393—791no—
924#393—791no—
925#393—791no—
926#393—791no—
927#393—791no—
928#393—791no—
929#393C2×D7911yescharacteristic
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#389C2×D7911yescharacteristic, complemented
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#388C2×D7911yescharacteristic
970#388C2×D7911yescharacteristic, complemented
971#387—791no—
972#387—791no—
973#387—791no—
974#387—791no—
975#387—791no—
976#387C2×D7911yescharacteristic, complemented
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#385C2×D7911yescharacteristic, complemented
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—
1007C25—791no—
1008C22×Q8—791no—
1009C22×Q8—791no—
1010C22×Q8C22×D7911yescharacteristic
1011C22×Q8C22×D7911yescharacteristic
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4—791no—
1018C22×D4—791no—
1019C22×D4—791no—
1020C22×D4—791no—
1021C22×D4—791no—
1022C22×D4—791no—
1023C22×D4C22×D7911yescharacteristic
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4C22×D7911yescharacteristic
1031C4⋊Q8—24no—
1032#126—1584no—
1033#126—1584no—
1034#126—1584no—
1035#126—1584no—
1036#124—42no—
1037#124—1584no—
1038#124—1584no—
1039#124—1584no—
1040#124—1584no—
1041#124—1584no—
1042#123—24no—
1043#123—1584no—
1044#123—1584no—
1045#123—1584no—
1046C22⋊Q8—42no—
1047C22⋊Q8—1584no—
1048C22⋊Q8—1584no—
1049C22⋊Q8—1584no—
1050C22⋊Q8—1584no—
1051#121—3162no—
1052#121—1584no—
1053#121—1584no—
1054#121—1584no—
1055#121—1584no—
1056#120—3162no—
1057#120—1584no—
1058#120—1584no—
1059C4×Q8—1584no—
1060C4×D4—798no—
1061C4×D4—1584no—
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⋊C4C22×D7911yescharacteristic
1083C2×C4⋊C4C22×D7911yescharacteristic
1084C2×C4⋊C4C22×D7911yescharacteristic
1085C2×C4⋊C4C22×D7911yescharacteristic
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—791no—
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⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—1584no—
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#95C22×D7911yescharacteristic
1190#95C22×D7911yescharacteristic
1191#95C22×D7911yescharacteristic
1192#95C22×D7911yescharacteristic
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195#95C22×D7911yescharacteristic
1196#95C22×D7911yescharacteristic
1197C24—3161no—
1198C24—3161no—
1199C24—3161no—
1200C24—3161no—
1201C24—3161no—
1202C24—3161no—
1203C24—791no—
1204C24—791no—
1205C24—791no—
1206C24—791no—
1207C24—1582no—
1208C24C23×D7911yescharacteristic
1209C24C23×D7911yescharacteristic
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—41no—
1213C2×Q8—41no—
1214C2×Q8—41no—
1215C2×Q8—41no—
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—3161no—
1219C2×Q8—3161no—
1220C2×Q8—1582no—
1221C2×Q8—1582no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—3161no—
1230C2×D4—3161no—
1231C2×D4—3161no—
1232C2×D4—3161no—
1233C2×D4—3161no—
1234C2×D4—3161no—
1235C2×D4—3161no—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—3161no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—794no—
1250C2×D4—1582no—
1251C2×D4—1582no—
1252C2×D4—1582no—
1253C2×D4—1582no—
1254C2×D4—1582no—
1255C2×D4—1582no—
1256C2×D4—1582no—
1257C2×D4—1582no—
1258C22×C4—22no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—3161no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—3161no—
1271C22×C4—3161no—
1272C22×C4—3161no—
1273C22×C4—3161no—
1274C22×C4—794no—
1275C22×C4—794no—
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—1582no—
1289C22×C4—1582no—
1290C22×C4—1582no—
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
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—22no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
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⋊C4D4×D7914yes—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—3161no—
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—794no—
1367C22⋊C4—794no—
1368C22⋊C4—1582no—
1369C22⋊C4—1582no—
1370C22⋊C4—1582no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
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⋊C4—1582no—
1387C22⋊C4—1582no—
1388C42—22no—
1389C42—22no—
1390C42—3161no—
1391C42—3161no—
1392C42—3161no—
1393C42—3161no—
1394C42—794no—
1395C42—1582no—
1396C42—1582no—
1397C42—1582no—
1398C42—1582no—
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—3164no—
1414C23—792no—
1415C23—792no—
1416C23—6322no—
1417C23—6322no—
1418C23—6322no—
1419C23—6322no—
1420C23—6322no—
1421C23—6322no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23—1581no—
1446C23—1581no—
1447C23—1581no—
1448C23C24×D7911yescharacteristic
1449Q8—82no—
1450Q8—82no—
1451Q8—3164no—
1452Q8—6322no—
1453D4—82no—
1454D4—3164no—
1455D4—3164no—
1456D4—6322no—
1457D4—6322no—
1458D4—6322no—
1459D4—6322no—
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—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—82no—
1501C2×C4—3164no—
1502C2×C4—3164no—
1503C2×C4—3164no—
1504C2×C4—3164no—
1505C2×C4—3164no—
1506C2×C4—792no—
1507C2×C4—792no—
1508C2×C4—6322no—
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×C4—1581no—
1543C2×C4C2×D4×D7912yes—
1544C2×C4C2×D4×D7912yes—
1545C2×C4C2×D4×D7912yes—
1546C2×C4#1457920612yes—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—3161no—
1562C22—3161no—
1563C22—3161no—
1564C22—3161no—
1565C22—3161no—
1566C22—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—3161no—
1580C22—3161no—
1581C22—3161no—
1582C22—3161no—
1583C22—6328no—
1584C22—1582no—
1585C22—1582no—
1586C22—1582no—
1587C22—1582no—
1588C22—1582no—
1589C22—1582no—
1590C22C22×D4×D7911yescharacteristic
1591C22C2×#1457920611yescharacteristic
1592C22#1909939811yescharacteristic
1593C22#1909939911yescharacteristic
1594C22#1909940011yescharacteristic
1595C22#1909940011yescharacteristic
1596C22#1909940011yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—3161no—
1620C4—1582no—
1621C4—1582no—
1622C2—81no—
1623C2—81no—
1624C2—3162no—
1625C2—3162no—
1626C2—6321no—
1627C2—6321no—
1628C2#2377673211yescharacteristic
1629C2#2377715611yescharacteristic
1630C2#2377719111yescharacteristic
1631C2#2377757011yescharacteristic
1632C2#2377767711yescharacteristic
1633C2#2377807511yescharacteristic
1634C2#2377809711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2674C2
hypercenter#2674D79
hypocenterC79#36745
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2674

Complements

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

NH ≅ G/Ntype
1. C2×#19099187C2semidirect
2. C2×#19099149C2semidirect
3. #23771733C2semidirect
4. #23771696C2semidirect
5. #23770317C2semidirect
6. #23770220C2semidirect
7. #23770218C2semidirect
8. #23770171C2semidirect
9. #23769997C2semidirect
10. #23769969C2semidirect
11. #23769946C2semidirect
12. #23769885C2semidirect
13. #23769841C2semidirect
14. #23769807C2semidirect
15. #23769790C2semidirect
16. #23769781C2semidirect
17. #23769697C2semidirect
18. #23769621C2semidirect
19. #23769609C2semidirect
20. #23769555C2semidirect
21. #23769535C2semidirect
22. #23769085C2semidirect
23. #23769039C2semidirect
24. #23769016C2semidirect
25. #23769003C2semidirect
26. #23768884C2semidirect
27. #23768554C2semidirect
28. #23766825C2semidirect
29. #23766780C2semidirect
30. #23765838C2semidirect
31. C79×#2674C2semidirect
36. C2×#14579156C22semidirect
39. C2×#14579150C22semidirect
45. C2×#14579146C22semidirect
47. C2×#14579141C22semidirect
49. C2×#14579137C22semidirect
58. C2×#14579126C22semidirect
62. C2×#14579118C22semidirect
64. C2×C42×D79C22semidirect
65. #19098502C22semidirect
66. #19098501C22semidirect
68. #19098497C22semidirect
69. #19098493C22semidirect
72. #19098490C22semidirect
73. #19098490C22semidirect
74. #19098490C22semidirect
81. #19098485C22semidirect
82. #19098484C22semidirect
83. #19098483C22semidirect
95. #19098478C22semidirect
97. #19098476C22semidirect
99. #19098475C22semidirect
105. #19098472C22semidirect
107. #19098470C22semidirect
108. #19098470C22semidirect
109. #19098467C22semidirect
110. #19098467C22semidirect
117. #19098463C22semidirect
118. #19098462C22semidirect
119. #19098459C22semidirect
120. #19098459C22semidirect
121. #19098459C22semidirect
124. #19098455C22semidirect
128. #19098453C22semidirect
133. #19098452C22semidirect
137. #19098451C22semidirect
138. #19098451C22semidirect
139. #19098451C22semidirect
140. #19098449C22semidirect
141. #19098449C22semidirect
142. #19098449C22semidirect
143. #19098447C22semidirect
144. #19098444C22semidirect
145. #19098442C22semidirect
151. #19098441C22semidirect
155. #19098439C22semidirect
156. #19098439C22semidirect
157. #19098439C22semidirect
158. #19098437C22semidirect
159. #19098437C22semidirect
161. #19098434C22semidirect
162. #19098429C22semidirect
165. #19098423C22semidirect
166. #19098420C22semidirect
170. #19098414C22semidirect
172. #19098410C22semidirect
173. #19098408C22semidirect
174. C2×C4⋊Q8×C79C22semidirect
177. C2×C22⋊Q8×C79C22semidirect
179. #397×C79C22semidirect
181. #395×C79C22semidirect
184. #389×C79C22semidirect
186. #388×C79C22semidirect
187. #387×C79C22semidirect
188. #385×C79C22semidirect
234. #14579123D4semidirect
835. #2674D79semidirect
849. C79#36745semidirect
852. C2×C4⋊Q8C2×D79semidirect
871. C2×C22⋊Q8C2×D79semidirect
902. #397C2×D79semidirect
909. #395C2×D79semidirect
950. #389C2×D79semidirect
970. #388C2×D79semidirect
976. #387C2×D79semidirect
994. #385C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991872
C2×#190991492
#237717332
#237716962
#237703172
#237702202
#237702182
#237701712
#237699972
#237699692
#237699462
#237698852
#237698412
#237698072
#237697902
#237697812
#237696972
#237696212
#237696092
#237695552
#237695352
#237690852
#237690392
#237690162
#237690032
#237688842
#237685542
#237668252
#237667802
#237658382
C79×#26742
#3674579