Finite Group Databasebeta

← #34461275

Subgroups — #34461275

Order 20224.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099156C211yesmaximal, characteristic, complemented
2C2×#19099145C211yesmaximal, characteristic, complemented
3#23771769C211yesmaximal, characteristic, complemented
4#23771764C211yesmaximal, characteristic, complemented
5#23771729C211yesmaximal, characteristic, complemented
6#23771699C211yesmaximal, characteristic, complemented
7#23769565C211yesmaximal, characteristic, complemented
8#23769548C211yesmaximal, characteristic, complemented
9#23769541C211yesmaximal, characteristic, complemented
10#23768545C211yesmaximal, characteristic, complemented
11#23768522C211yesmaximal, characteristic, complemented
12#23768515C211yesmaximal, characteristic, complemented
13#23768492C211yesmaximal, characteristic, complemented
14#23768407C211yesmaximal, characteristic, complemented
15#23768355C211yesmaximal, characteristic, complemented
16#23768325C211yesmaximal, characteristic, complemented
17#23768285C211yesmaximal, characteristic, complemented
18#23768104C211yesmaximal, characteristic, complemented
19#23768076C211yesmaximal, characteristic, complemented
20#23767729C211yesmaximal, characteristic, complemented
21#23767521C211yesmaximal, characteristic, complemented
22#23767399C211yesmaximal, characteristic, complemented
23#23767362C211yesmaximal, characteristic, complemented
24#23766952C211yesmaximal, characteristic, complemented
25#23766939C211yesmaximal, characteristic, complemented
26#23766070C211yesmaximal, characteristic, complemented
27#23766059C211yesmaximal, characteristic, complemented
28#23765916C211yesmaximal, characteristic, complemented
29#388×D79C211yesmaximal, characteristic, complemented
30C4×(C22⋊D79)⋊C4C211yesmaximal, characteristic, complemented
31C79×#2661C211yesmaximal, characteristic, complemented
32#19099156—28no—
33#19099145—28no—
34C2×#14579156C2211yescharacteristic
35C2×#14579154C2211yescharacteristic
36C2×#14579154C2211yescharacteristic, complemented
37C2×#14579154C2211yescharacteristic, complemented
38C2×#14579152C2211yescharacteristic, complemented
39C2×#14579151C2211yescharacteristic, complemented
40C2×#14579148C2211yescharacteristic
41C2×#14579148C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579144C2211yescharacteristic
44C2×#14579143C2211yescharacteristic
45C2×#14579143C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579142C2211yescharacteristic
48C2×#14579142C2211yescharacteristic, complemented
49C2×#14579140C2211yescharacteristic, complemented
50C2×#14579139C2211yescharacteristic
51C2×#14579139C2211yescharacteristic
52C2×#14579138C2211yescharacteristic, complemented
53C2×#14579133C2211yescharacteristic
54C2×#14579133C2211yescharacteristic
55C2×#14579132C2211yescharacteristic
56C2×#14579132C2211yescharacteristic
57C2×#14579132C2211yescharacteristic
58C2×#14579129C2211yescharacteristic
59C2×#14579129C2211yescharacteristic
60C2×#14579129C2211yescharacteristic
61C2×D4×Dic79C2211yescharacteristic, complemented
62C2×C4×C22⋊D79C2211yescharacteristic
63C2×(C22⋊D79)⋊C4C2211yescharacteristic
64C2×(C22⋊D79)⋊C4C2211yescharacteristic
65C2×(C22⋊D79)⋊C4C2211yescharacteristic
66C2×(C22⋊D79)⋊C4C2211yescharacteristic
67C2×C4⋊C4×D79C2211yescharacteristic
68C2×C22⋊C4×D79C2211yescharacteristic
69C2×C22⋊C4×D79C2211yescharacteristic
70C2×C22⋊C4×D79C2211yescharacteristic
71C22×C4×Dic79C2211yescharacteristic, complemented
72C2×C42×D79C2211yescharacteristic
73#19098504C2211yescharacteristic, complemented
74#19098503C2211yescharacteristic, complemented
75#19098500C2211yescharacteristic
76#19098499C2211yescharacteristic
77#19098497C2211yescharacteristic, complemented
78#19098497C2211yescharacteristic, complemented
79#19098495C2211yescharacteristic, complemented
80#19098491C2211yescharacteristic
81#19098488C2211yescharacteristic, complemented
82#19098488C2211yescharacteristic, complemented
83#19098486C2211yescharacteristic
84#19098486C2211yescharacteristic
85#19098486C2211yescharacteristic, complemented
86#19098485C2211yescharacteristic
87#19098484C2211yescharacteristic, complemented
88#19098483C2211yescharacteristic, complemented
89#19098479C2211yescharacteristic
90#19098479C2211yescharacteristic
91#19098478C2211yescharacteristic
92#19098478C2211yescharacteristic
93#19098477C2211yescharacteristic, complemented
94#19098476C2211yescharacteristic
95#19098475C2211yescharacteristic, complemented
96#19098471C2211yescharacteristic
97#19098468C2211yescharacteristic, complemented
98#19098467C2211yescharacteristic, complemented
99#19098467C2211yescharacteristic, complemented
100#19098466C2211yescharacteristic
101#19098466C2211yescharacteristic
102#19098466C2211yescharacteristic
103#19098463C2211yescharacteristic
104#19098463C2211yescharacteristic
105#19098463C2211yescharacteristic
106#19098463C2211yescharacteristic
107#19098462C2211yescharacteristic, complemented
108#19098461C2211yescharacteristic, complemented
109#19098461C2211yescharacteristic, complemented
110#19098459C2211yescharacteristic, complemented
111#19098458C2211yescharacteristic, complemented
112#19098458C2211yescharacteristic, complemented
113#19098457C2211yescharacteristic
114#19098457C2211yescharacteristic
115#19098457C2211yescharacteristic
116#19098457C2211yescharacteristic, complemented
117#19098457C2211yescharacteristic, complemented
118#19098457C2211yescharacteristic, complemented
119#19098457C2211yescharacteristic, complemented
120#19098456C2211yescharacteristic
121#19098456C2211yescharacteristic
122#19098456C2211yescharacteristic, complemented
123#19098456C2211yescharacteristic, complemented
124#19098455C2211yescharacteristic
125#19098455C2211yescharacteristic
126#19098454C2211yescharacteristic
127#19098454C2211yescharacteristic
128#19098453C2211yescharacteristic
129#19098453C2211yescharacteristic
130#19098453C2211yescharacteristic
131#19098452C2211yescharacteristic
132#19098452C2211yescharacteristic
133#19098451C2211yescharacteristic
134#19098451C2211yescharacteristic
135#19098451C2211yescharacteristic, complemented
136#19098451C2211yescharacteristic, complemented
137#19098450C2211yescharacteristic, complemented
138#19098446C2211yescharacteristic, complemented
139#19098443C2211yescharacteristic
140#19098443C2211yescharacteristic
141#19098443C2211yescharacteristic
142#19098443C2211yescharacteristic, complemented
143#19098443C2211yescharacteristic, complemented
144#19098443C2211yescharacteristic, complemented
145#19098440C2211yescharacteristic
146#19098440C2211yescharacteristic
147#19098439C2211yescharacteristic
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic
151#19098438C2211yescharacteristic, complemented
152#19098437C2211yescharacteristic
153#19098435C2211yescharacteristic, complemented
154#19098434C2211yescharacteristic
155#19098428C2211yescharacteristic, complemented
156#19098425C2211yescharacteristic
157#19098421C2211yescharacteristic, complemented
158#19098420C2211yescharacteristic
159#19098418C2211yescharacteristic
160C4⋊C4×Dic79C2211yescharacteristic, complemented
161C4×Dic79⋊C4C2211yescharacteristic, complemented
162#19098414C2211yescharacteristic, complemented
163#19098414C2211yescharacteristic, complemented
164C22⋊C4×Dic79C2211yescharacteristic, complemented
165C22⋊C4×Dic79C2211yescharacteristic, complemented
166C22⋊C4×Dic79C2211yescharacteristic, complemented
167C22⋊C4×Dic79C2211yescharacteristic, complemented
168C4×(C2×D79)⋊C4C2211yescharacteristic
169#19098410C2211yescharacteristic
170#19098410C2211yescharacteristic
171#95×D79C2211yescharacteristic
172#95×D79C2211yescharacteristic
173C42×Dic79C2211yescharacteristic, complemented
174C2×#123×C79C2211yescharacteristic, complemented
175C2×#121×C79C2211yescharacteristic
176#398×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic
180#394×C79C2211yescharacteristic, complemented
181#392×C79C2211yescharacteristic
182#392×C79C2211yescharacteristic
183#392×C79C2211yescharacteristic, complemented
184#390×C79C2211yescharacteristic
185#390×C79C2211yescharacteristic, complemented
186#388×C79C2211yescharacteristic
187#388×C79C2211yescharacteristic, complemented
188C4×C22⋊C4×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208#14579156—24no—
209#14579154—24no—
210#14579154—24no—
211#14579154—24no—
212#14579152—24no—
213#14579151—24no—
214#14579148—24no—
215#14579148—42no—
216#14579147—24no—
217#14579144—24no—
218#14579143—24no—
219#14579143—24no—
220#14579143—24no—
221#14579142—24no—
222#14579142—24no—
223#14579140—24no—
224#14579139—24no—
225#14579139—24no—
226#14579138—24no—
227#14579133—24no—
228#14579133—42no—
229#14579132—24no—
230#14579132—24no—
231#14579132—24no—
232#14579129—24no—
233#14579129—24no—
234#14579129—24no—
235D4×Dic79—42no—
236C4×C22⋊D79D418yescomplemented
237(C22⋊D79)⋊C4—24no—
238(C22⋊D79)⋊C4—24no—
239(C22⋊D79)⋊C4—24no—
240(C22⋊D79)⋊C4—24no—
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C4⋊C4×D79—24no—
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×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
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
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C22⋊C4×D79—24no—
305C22⋊C4×D79—24no—
306C22⋊C4×D79—42no—
307C2×C4×Dic79—42no—
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C42×D79—42no—
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
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C22×D4×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C22×D4×C79C2311yescharacteristic
351C22×D4×C79C2311yescharacteristic
352C22×D4×C79C2311yescharacteristic
353C22×D4×C79C2311yescharacteristic
354C23×C4×C79C2311yescharacteristic
355#123×C79—24no—
356#121×C79—24no—
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊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
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
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385C23×D79—22no—
386C23×D79—22no—
387C23×D79—22no—
388C23×D79—41no—
389C23×D79—41no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79C2411yescharacteristic
393C23×D79C2411yescharacteristic
394C2×Dic158—22no—
395C2×Dic158—22no—
396C2×Dic158—41no—
397C2×Dic158—41no—
398C2×Dic158—41no—
399C2×Dic158—41no—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—22no—
406C2×C22⋊D79—22no—
407C2×C22⋊D79—22no—
408C2×C22⋊D79—22no—
409C2×C22⋊D79—22no—
410C2×C22⋊D79—22no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C2×C22⋊D79—41no—
415C2×C22⋊D79—41no—
416C2×C22⋊D79—41no—
417C2×C22⋊D79C2×D414yes—
418C22×Dic79—22no—
419C22×Dic79—22no—
420C22×Dic79—22no—
421C22×Dic79—22no—
422C22×Dic79—22no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79—41no—
427C22×Dic79—41no—
428C22×Dic79—41no—
429C22×Dic79—41no—
430C22×Dic79C2411yescharacteristic
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
444C2×C4×D79—22no—
445C2×C4×D79—22no—
446C2×C4×D79—22no—
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—22no—
450C2×C4×D79—22no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—41no—
456C2×C4×D79—41no—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
460C2×C4×D79C2×D414yes—
461C2×C4×D79#4114yes—
462C4⋊Dic79—22no—
463C4⋊Dic79—22no—
464C4⋊Dic79—22no—
465C4⋊Dic79—22no—
466C4⋊Dic79—22no—
467C4⋊Dic79—22no—
468C4⋊Dic79—22no—
469C4⋊Dic79—41no—
470C4⋊Dic79—41no—
471Dic79⋊C4—22no—
472Dic79⋊C4—22no—
473Dic79⋊C4—22no—
474Dic79⋊C4—22no—
475Dic79⋊C4—22no—
476Dic79⋊C4—22no—
477Dic79⋊C4—22no—
478Dic79⋊C4—22no—
479Dic79⋊C4—22no—
480Dic79⋊C4—22no—
481Dic79⋊C4—22no—
482Dic79⋊C4—22no—
483Dic79⋊C4—22no—
484Dic79⋊C4—41no—
485Dic79⋊C4—41no—
486Dic79⋊C4C2×D414yes—
487C22⋊Dic79—22no—
488C22⋊Dic79—22no—
489C22⋊Dic79—22no—
490C22⋊Dic79—22no—
491C22⋊Dic79—22no—
492C22⋊Dic79—22no—
493C22⋊Dic79—22no—
494C22⋊Dic79—22no—
495C22⋊Dic79—22no—
496C22⋊Dic79—22no—
497C22⋊Dic79—22no—
498C22⋊Dic79—22no—
499C22⋊Dic79—22no—
500C22⋊Dic79—22no—
501C22⋊Dic79—22no—
502C22⋊Dic79—22no—
503C22⋊Dic79—22no—
504C22⋊Dic79—41no—
505C22⋊Dic79—41no—
506C22⋊Dic79—41no—
507C22⋊Dic79C2×D414yes—
508(C2×D79)⋊C4—22no—
509(C2×D79)⋊C4—22no—
510(C2×D79)⋊C4—22no—
511(C2×D79)⋊C4—22no—
512(C2×D79)⋊C4—22no—
513(C2×D79)⋊C4—22no—
514(C2×D79)⋊C4—22no—
515(C2×D79)⋊C4—22no—
516(C2×D79)⋊C4—22no—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4—41no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4C2×D414yes—
523(C2×D79)⋊C4#4114yes—
524C4×Dic79—22no—
525C4×Dic79—22no—
526C4×Dic79—22no—
527C4×Dic79—22no—
528C4×Dic79—22no—
529C4×Dic79—22no—
530C4×Dic79—22no—
531C4×Dic79—41no—
532C4×Dic79—41no—
533C4×Dic79—41no—
534C4×Dic79—41no—
535C4×Dic79—41no—
536C4×Dic79C2×D414yes—
537C24×C79C2411yescharacteristic
538C24×C79C2411yescharacteristic
539C24×C79C2411yescharacteristic
540C24×C79C2411yescharacteristic
541C2×D4×C79—22no—
542C2×D4×C79—22no—
543C2×D4×C79—22no—
544C2×D4×C79—22no—
545C2×D4×C79—22no—
546C2×D4×C79—22no—
547C2×D4×C79—41no—
548C2×D4×C79—41no—
549C2×D4×C79—41no—
550C2×D4×C79—41no—
551C2×D4×C79—41no—
552C2×D4×C79—41no—
553C2×D4×C79—41no—
554C2×D4×C79—41no—
555C2×D4×C79—41no—
556C2×D4×C79—41no—
557C2×D4×C79—41no—
558C2×D4×C79—41no—
559C22×C4×C79—41no—
560C22×C4×C79—41no—
561C22×C4×C79C2×D414yes—
562C22×C4×C79C2411yescharacteristic
563C22×C4×C79C2411yescharacteristic
564C22×C4×C79C2411yescharacteristic
565C22×C4×C79C2411yescharacteristic
566C22×C4×C79C2411yescharacteristic
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569C22×C4×C79C2411yescharacteristic
570C22×C4×C79C2411yescharacteristic
571C22×C4×C79C2411yescharacteristic
572C22×C4×C79C2411yescharacteristic
573C4⋊C4×C79—22no—
574C4⋊C4×C79—22no—
575C4⋊C4×C79—22no—
576C4⋊C4×C79—41no—
577C4⋊C4×C79—41no—
578C22⋊C4×C79—22no—
579C22⋊C4×C79—22no—
580C22⋊C4×C79—22no—
581C22⋊C4×C79—22no—
582C22⋊C4×C79—22no—
583C22⋊C4×C79—22no—
584C22⋊C4×C79—22no—
585C22⋊C4×C79—22no—
586C22⋊C4×C79—22no—
587C22⋊C4×C79—41no—
588C22⋊C4×C79—41no—
589C22⋊C4×C79—41no—
590C22⋊C4×C79—41no—
591C22⋊C4×C79—41no—
592C22⋊C4×C79—41no—
593C42×C79—41no—
594C42×C79—41no—
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—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79—21no—
620C23×C79—21no—
621C23×C79—21no—
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—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—44no—
636C22×D79—44no—
637C22×D79—44no—
638C22×D79—82no—
639C22×D79—82no—
640C22×D79—82no—
641C22×D79—82no—
642C22×D79C22×D412yes—
643C22×D79C2×#4112yes—
644C22×D79C2×#4112yes—
645D4×C79—44no—
646D4×C79—82no—
647D4×C79—82no—
648D4×C79—82no—
649D4×C79—82no—
650D4×C79—82no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—44no—
681C2×C4×C79C22×D412yes—
682C2×C4×C79C22×D412yes—
683C2×C4×C79C2×#4112yes—
684C2×C4×C79C2×#4112yes—
685C22⋊D79—28no—
686C22⋊D79—44no—
687C22⋊D79—44no—
688C22⋊D79—82no—
689C22⋊D79—82no—
690C22⋊D79—82no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—44no—
728C2×Dic79—44no—
729C2×Dic79—82no—
730C2×Dic79—82no—
731C2×Dic79C22×D412yes—
732C2×Dic79C22×D412yes—
733C2×Dic79C22×D412yes—
734C2×Dic79C2×#4112yes—
735C2×Dic79C2×#4112yes—
736C2×Dic79H(5,𝔽2)12yes—
737C4×D79—44no—
738C4×D79—44no—
739C4×D79—44no—
740C4×D79—44no—
741C4×D79—82no—
742C4×D79—82no—
743Dic158—82no—
744Dic158—82no—
745C22×C79—22no—
746C22×C79—22no—
747C22×C79—22no—
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—41no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79—41no—
770C22×C79—41no—
771C22×C79—41no—
772C22×C79—41no—
773C22×C79C23×D411yescharacteristic
774C22×C79C22×#4111yescharacteristic
775C22×C79C22×#4111yescharacteristic
776C22×C79C2×H(5,𝔽2)11yescharacteristic
777C22×C79#58511yescharacteristic
778C22×C79#58511yescharacteristic
779C22×C79#58511yescharacteristic
780C2×D79—22no—
781C2×D79—22no—
782C2×D79—22no—
783C2×D79—22no—
784C2×D79—22no—
785C2×D79—22no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—88no—
794C2×D79#53214yes—
795C4×C79—22no—
796C4×C79—22no—
797C4×C79—22no—
798C4×C79—22no—
799C4×C79—41no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806Dic79—22no—
807Dic79—22no—
808Dic79—22no—
809Dic79—22no—
810Dic79—22no—
811Dic79—22no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820#35009—791nomaximal, Sylow
821C2×C79—42no—
822C2×C79—81no—
823C2×C79—81no—
824C2×C79—81no—
825C2×C79C2×#53211yescharacteristic
826C2×C79#345511yescharacteristic
827C2×C79#345911yescharacteristic
828C2×C79#349611yescharacteristic
829C2×C79#350011yescharacteristic
830C2×C79#351311yescharacteristic
831C2×C79#352111yescharacteristic
832D79—24no—
833D79—81no—
834C2×#539—791no—
835C2×#538—791no—
836#2861—791no—
837#2860—791no—
838#2854—791no—
839#2850—791no—
840#2664—791no—
841#2663—791no—
842#2662—791no—
843#2661D7911yescharacteristic, complemented
844#2560—791no—
845#2559—791no—
846#2558—791no—
847#2557—791no—
848#2549—791no—
849#2543—791no—
850#2539—791no—
851#2534—791no—
852#2521—791no—
853#2519—791no—
854#2488—791no—
855#2472—791no—
856#2464—791no—
857#2461—791no—
858#2425—791no—
859#2424—791no—
860#2322—791no—
861#2321—791no—
862C4×#121—791no—
863C2×#388—791no—
864C42×D4—791no—
865C79#3500911yescharacteristic, complemented, Sylow
866#539—1588no—
867#538—1588no—
868C2×#126—791no—
869C2×#126—791no—
870C2×#126—791no—
871C2×#126—791no—
872C2×#125—791no—
873C2×#125—791no—
874C2×#124—791no—
875C2×#124—791no—
876C2×#124—791no—
877C2×#123—791no—
878C2×#123—791no—
879C2×#123—791no—
880C2×#123—791no—
881C2×#123—791no—
882C2×#123—791no—
883C2×#123C2×D7911yescharacteristic, complemented
884C2×C22⋊Q8—791no—
885C2×C22⋊Q8—791no—
886C2×C22⋊Q8—791no—
887C2×C22⋊Q8—791no—
888C2×#121—791no—
889C2×#121—791no—
890C2×#121—791no—
891C2×#121—791no—
892C2×#121—791no—
893C2×#121C2×D7911yescharacteristic
894C2×#120—791no—
895C2×#120—791no—
896C2×#120—791no—
897C2×C4×D4—791no—
898C2×C4×D4—791no—
899C2×C4×D4—791no—
900C2×C4×D4—791no—
901C2×C4×D4—791no—
902C2×C4×D4—791no—
903C22×C4⋊C4—791no—
904C22×C22⋊C4—791no—
905C22×C22⋊C4—791no—
906C22×C22⋊C4—791no—
907C22×C42—791no—
908C22×C42—791no—
909#400—791no—
910#400—791no—
911#399—791no—
912#399—791no—
913#398—791no—
914#398—791no—
915#398—791no—
916#398C2×D7911yescharacteristic, complemented
917#397—791no—
918#397—791no—
919#397—791no—
920#397C2×D7911yescharacteristic, complemented
921#396—791no—
922#396—791no—
923#396—791no—
924#396—791no—
925#395—791no—
926#395—791no—
927#394—791no—
928#394—791no—
929#394—791no—
930#394—791no—
931#394—791no—
932#394C2×D7911yescharacteristic
933#394C2×D7911yescharacteristic
934#394C2×D7911yescharacteristic, complemented
935#393—791no—
936#393—791no—
937#392—791no—
938#392C2×D7911yescharacteristic
939#392C2×D7911yescharacteristic
940#392C2×D7911yescharacteristic, complemented
941#391—791no—
942#391—791no—
943#391—791no—
944#390—791no—
945#390—791no—
946#390—791no—
947#390—791no—
948#390—791no—
949#390—791no—
950#390—791no—
951#390C2×D7911yescharacteristic
952#390C2×D7911yescharacteristic, complemented
953#389—791no—
954#389—791no—
955#389—791no—
956#389—791no—
957#389—791no—
958#389—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388—791no—
973#388—791no—
974#388—791no—
975#388—791no—
976#388—791no—
977#388—791no—
978#388—791no—
979#388—791no—
980#388—791no—
981#388—791no—
982#388—791no—
983#388C2×D7911yescharacteristic
984#388C2×D7911yescharacteristic, complemented
985#387—791no—
986#387—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#385—791no—
1000#385—791no—
1001#385—791no—
1002#385—791no—
1003#382—791no—
1004#381—791no—
1005#380—791no—
1006#380—791no—
1007#379—791no—
1008C4×C4⋊C4—791no—
1009C4×C4⋊C4—791no—
1010C4×C4⋊C4—791no—
1011C4×C4⋊C4—791no—
1012C4×C22⋊C4—791no—
1013C4×C22⋊C4—791no—
1014C4×C22⋊C4—791no—
1015C4×C22⋊C4—791no—
1016C4×C22⋊C4—791no—
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4—791no—
1019C4×C22⋊C4C2×D7911yescharacteristic, complemented
1020C2×#95—791no—
1021C2×#95—791no—
1022C43—791no—
1023C25—791no—
1024C22×Q8—791no—
1025C22×Q8—791no—
1026C22×D4—791no—
1027C22×D4—791no—
1028C22×D4—791no—
1029C22×D4—791no—
1030C22×D4—791no—
1031C22×D4—791no—
1032C22×D4C22×D7911yescharacteristic
1033C22×D4C22×D7911yescharacteristic
1034C22×D4C22×D7911yescharacteristic
1035C22×D4C22×D7911yescharacteristic
1036C22×D4C22×D7911yescharacteristic
1037C22×D4C22×D7911yescharacteristic
1038C23×C4—791no—
1039C23×C4—791no—
1040C23×C4—791no—
1041C23×C4—791no—
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4—791no—
1047C23×C4—791no—
1048C23×C4C22×D7911yescharacteristic
1049#126—1584no—
1050#126—1584no—
1051#126—1584no—
1052#126—1584no—
1053#125—1584no—
1054#125—1584no—
1055#124—3162no—
1056#124—1584no—
1057#124—1584no—
1058#123—24no—
1059#123—1584no—
1060#123—1584no—
1061#123—1584no—
1062#123—1584no—
1063#123—1584no—
1064#123—1584no—
1065C22⋊Q8—1584no—
1066C22⋊Q8—1584no—
1067C22⋊Q8—1584no—
1068C22⋊Q8—1584no—
1069#121—24no—
1070#121—3162no—
1071#121—1584no—
1072#121—1584no—
1073#121—1584no—
1074#121—1584no—
1075#120—1584no—
1076#120—1584no—
1077#120—1584no—
1078C4×D4—3162no—
1079C4×D4—798no—
1080C4×D4—1584no—
1081C4×D4—1584no—
1082C4×D4—1584no—
1083C4×D4—1584no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4—791no—
1094C2×C4⋊C4—791no—
1095C2×C4⋊C4—791no—
1096C2×C4⋊C4—791no—
1097C2×C4⋊C4—791no—
1098C2×C4⋊C4—791no—
1099C2×C4⋊C4—791no—
1100C2×C4⋊C4—791no—
1101C2×C4⋊C4—791no—
1102C2×C4⋊C4—791no—
1103C2×C4⋊C4—791no—
1104C2×C4⋊C4—791no—
1105C2×C4⋊C4—791no—
1106C2×C4⋊C4—791no—
1107C2×C4⋊C4—791no—
1108C2×C4⋊C4—791no—
1109C2×C4⋊C4—1584no—
1110C2×C4⋊C4C22×D7911yescharacteristic
1111C2×C4⋊C4C22×D7911yescharacteristic
1112C2×C4⋊C4C22×D7911yescharacteristic
1113C2×C4⋊C4C22×D7911yescharacteristic
1114C2×C4⋊C4C22×D7911yescharacteristic
1115C2×C22⋊C4—3162no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
1153C2×C22⋊C4—1584no—
1154C2×C22⋊C4—1584no—
1155C2×C22⋊C4C22×D7911yescharacteristic
1156C2×C22⋊C4C22×D7911yescharacteristic
1157C2×C22⋊C4C22×D7911yescharacteristic
1158C2×C22⋊C4C22×D7911yescharacteristic
1159C2×C22⋊C4C22×D7911yescharacteristic
1160C2×C22⋊C4C22×D7911yescharacteristic
1161C2×C22⋊C4C22×D7911yescharacteristic
1162C2×C22⋊C4C22×D7911yescharacteristic
1163C2×C22⋊C4C22×D7911yescharacteristic
1164C2×C22⋊C4C22×D7911yescharacteristic
1165C2×C22⋊C4C22×D7911yescharacteristic
1166C2×C22⋊C4C22×D7911yescharacteristic
1167C2×C22⋊C4C22×D7911yescharacteristic
1168C2×C22⋊C4C22×D7911yescharacteristic
1169C2×C22⋊C4C22×D7911yescharacteristic
1170C2×C42—3162no—
1171C2×C42—3162no—
1172C2×C42—791no—
1173C2×C42—791no—
1174C2×C42—791no—
1175C2×C42—791no—
1176C2×C42—791no—
1177C2×C42—791no—
1178C2×C42—791no—
1179C2×C42—791no—
1180C2×C42—791no—
1181C2×C42—791no—
1182C2×C42—791no—
1183C2×C42—791no—
1184C2×C42—791no—
1185C2×C42C22×D7911yescharacteristic
1186C2×C42C22×D7911yescharacteristic
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—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95—791no—
1203#95—791no—
1204#95—791no—
1205#95—791no—
1206#95—791no—
1207#95—791no—
1208#95—791no—
1209#95—791no—
1210#95—791no—
1211#95—791no—
1212#95—791no—
1213#95C22×D7911yescharacteristic
1214#95C22×D7911yescharacteristic
1215#95C22×D7911yescharacteristic
1216#95C22×D7911yescharacteristic
1217#95C22×D7911yescharacteristic
1218#95C22×D7911yescharacteristic
1219C24—3161no—
1220C24—3161no—
1221C24—3161no—
1222C24—3161no—
1223C24—791no—
1224C24—791no—
1225C24—1582no—
1226C24—1582no—
1227C24—1582no—
1228C24C23×D7911yescharacteristic
1229C24C23×D7911yescharacteristic
1230C24C23×D7911yescharacteristic
1231C24C23×D7911yescharacteristic
1232C2×Q8—3161no—
1233C2×Q8—3161no—
1234C2×Q8—3161no—
1235C2×Q8—3161no—
1236C2×Q8—1582no—
1237C2×Q8—1582no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—3161no—
1259C2×D4—3161no—
1260C2×D4—3161no—
1261C2×D4—3161no—
1262C2×D4—794no—
1263C2×D4—1582no—
1264C2×D4—1582no—
1265C2×D4—1582no—
1266C2×D4—1582no—
1267C2×D4—1582no—
1268C2×D4—1582no—
1269C2×D4—1582no—
1270C2×D4—1582no—
1271C2×D4—1582no—
1272C2×D4—1582no—
1273C2×D4—1582no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—3161no—
1277C22×C4—3161no—
1278C22×C4—3161no—
1279C22×C4—3161no—
1280C22×C4—3161no—
1281C22×C4—3161no—
1282C22×C4—3161no—
1283C22×C4—3161no—
1284C22×C4—3161no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—3161no—
1291C22×C4—3161no—
1292C22×C4—794no—
1293C22×C4—794no—
1294C22×C4—791no—
1295C22×C4—791no—
1296C22×C4—791no—
1297C22×C4—791no—
1298C22×C4—791no—
1299C22×C4—791no—
1300C22×C4—791no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—791no—
1308C22×C4—1582no—
1309C22×C4—1582no—
1310C22×C4—1582no—
1311C22×C4—1582no—
1312C22×C4—1582no—
1313C22×C4—1582no—
1314C22×C4—1582no—
1315C22×C4—1582no—
1316C22×C4—1582no—
1317C22×C4—1582no—
1318C22×C4—1582no—
1319C22×C4—1582no—
1320C22×C4D4×D7914yes—
1321C22×C4C23×D7911yescharacteristic
1322C22×C4C23×D7911yescharacteristic
1323C22×C4C23×D7911yescharacteristic
1324C22×C4C23×D7911yescharacteristic
1325C22×C4C23×D7911yescharacteristic
1326C22×C4C23×D7911yescharacteristic
1327C22×C4C23×D7911yescharacteristic
1328C22×C4C23×D7911yescharacteristic
1329C22×C4C23×D7911yescharacteristic
1330C22×C4C23×D7911yescharacteristic
1331C22×C4C23×D7911yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—3161no—
1338C4⋊C4—3161no—
1339C4⋊C4—3161no—
1340C4⋊C4—3161no—
1341C4⋊C4—794no—
1342C4⋊C4—1582no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C4⋊C4—1582no—
1347C4⋊C4—1582no—
1348C4⋊C4—1582no—
1349C4⋊C4—1582no—
1350C4⋊C4—1582no—
1351C4⋊C4—1582no—
1352C4⋊C4—1582no—
1353C4⋊C4—1582no—
1354C4⋊C4—1582no—
1355C4⋊C4—1582no—
1356C4⋊C4—1582no—
1357C4⋊C4—1582no—
1358C4⋊C4—1582no—
1359C4⋊C4—1582no—
1360C4⋊C4—1582no—
1361C4⋊C4—1582no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—3161no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—794no—
1384C22⋊C4—794no—
1385C22⋊C4—794no—
1386C22⋊C4—1582no—
1387C22⋊C4—1582no—
1388C22⋊C4—1582no—
1389C22⋊C4—1582no—
1390C22⋊C4—1582no—
1391C22⋊C4—1582no—
1392C22⋊C4—1582no—
1393C22⋊C4—1582no—
1394C22⋊C4—1582no—
1395C22⋊C4—1582no—
1396C22⋊C4—1582no—
1397C22⋊C4—1582no—
1398C22⋊C4—1582no—
1399C22⋊C4—1582no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4—1582no—
1403C22⋊C4—1582no—
1404C22⋊C4—1582no—
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—
1414C42—41no—
1415C42—41no—
1416C42—3161no—
1417C42—3161no—
1418C42—3161no—
1419C42—3161no—
1420C42—3161no—
1421C42—794no—
1422C42—1582no—
1423C42—1582no—
1424C42—1582no—
1425C42—1582no—
1426C42—1582no—
1427C42—1582no—
1428C42—1582no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—3164no—
1457C23—3164no—
1458C23—3164no—
1459C23—792no—
1460C23—792no—
1461C23—792no—
1462C23—6322no—
1463C23—6322no—
1464C23—6322no—
1465C23—6322no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23—1581no—
1472C23—1581no—
1473C23—1581no—
1474C23—1581no—
1475C23—1581no—
1476C23—1581no—
1477C23C2×D4×D7912yes—
1478C23C24×D7911yescharacteristic
1479Q8—6322no—
1480Q8—6322no—
1481D4—44no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—3164no—
1488D4—3164no—
1489D4—6322no—
1490D4—6322no—
1491D4—6322no—
1492D4—1588no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—3164no—
1524C2×C4—3164no—
1525C2×C4—3164no—
1526C2×C4—3164no—
1527C2×C4—3164no—
1528C2×C4—3164no—
1529C2×C4—792no—
1530C2×C4—792no—
1531C2×C4—792no—
1532C2×C4—792no—
1533C2×C4—792no—
1534C2×C4—792no—
1535C2×C4—6322no—
1536C2×C4—6322no—
1537C2×C4—6322no—
1538C2×C4—6322no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4C2×D4×D7912yes—
1576C2×C4C2×D4×D7912yes—
1577C2×C4#41×D7912yes—
1578C2×C4#41×D7912yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—794no—
1615C22—6328no—
1616C22—1582no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22—1582no—
1621C22—1582no—
1622C22C22×D4×D7911yescharacteristic
1623C22C2×#41×D7911yescharacteristic
1624C22C2×#41×D7911yescharacteristic
1625C22H(5,𝔽2)×D7911yescharacteristic
1626C22#1909939811yescharacteristic
1627C22#1909939811yescharacteristic
1628C22#1909939811yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—1582no—
1649C4—1582no—
1650C4—1582no—
1651C4—1582no—
1652C4—1582no—
1653C4—1582no—
1654C2—42no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—6321no—
1659C2—1584no—
1660C2#532×D7911yescharacteristic
1661C2#2377678411yescharacteristic
1662C2#2377681111yescharacteristic
1663C2#2377716111yescharacteristic
1664C2#2377719211yescharacteristic
1665C2#2377733811yescharacteristic
1666C2#2377746411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2661C2
hypercenter#2661D79
hypocenterC79#35009
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2661

Complements

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

NH ≅ G/Ntype
1. C2×#19099156C2semidirect
2. C2×#19099145C2semidirect
3. #23771769C2semidirect
4. #23771764C2semidirect
5. #23771729C2semidirect
6. #23771699C2semidirect
7. #23769565C2semidirect
8. #23769548C2semidirect
9. #23769541C2semidirect
10. #23768545C2semidirect
11. #23768522C2semidirect
12. #23768515C2semidirect
13. #23768492C2semidirect
14. #23768407C2semidirect
15. #23768355C2semidirect
16. #23768325C2semidirect
17. #23768285C2semidirect
18. #23768104C2semidirect
19. #23768076C2semidirect
20. #23767729C2semidirect
21. #23767521C2semidirect
22. #23767399C2semidirect
23. #23767362C2semidirect
24. #23766952C2semidirect
25. #23766939C2semidirect
26. #23766070C2semidirect
27. #23766059C2semidirect
28. #23765916C2semidirect
29. #388×D79C2semidirect
30. C4×(C22⋊D79)⋊C4C2semidirect
31. C79×#2661C2semidirect
36. C2×#14579154C22semidirect
37. C2×#14579154C22semidirect
38. C2×#14579152C22semidirect
39. C2×#14579151C22semidirect
48. C2×#14579142C22semidirect
49. C2×#14579140C22semidirect
52. C2×#14579138C22semidirect
61. C2×D4×Dic79C22semidirect
71. C22×C4×Dic79C22semidirect
73. #19098504C22semidirect
74. #19098503C22semidirect
77. #19098497C22semidirect
78. #19098497C22semidirect
79. #19098495C22semidirect
81. #19098488C22semidirect
82. #19098488C22semidirect
85. #19098486C22semidirect
87. #19098484C22semidirect
88. #19098483C22semidirect
93. #19098477C22semidirect
95. #19098475C22semidirect
97. #19098468C22semidirect
98. #19098467C22semidirect
99. #19098467C22semidirect
107. #19098462C22semidirect
108. #19098461C22semidirect
109. #19098461C22semidirect
110. #19098459C22semidirect
111. #19098458C22semidirect
112. #19098458C22semidirect
116. #19098457C22semidirect
117. #19098457C22semidirect
118. #19098457C22semidirect
119. #19098457C22semidirect
122. #19098456C22semidirect
123. #19098456C22semidirect
135. #19098451C22semidirect
136. #19098451C22semidirect
137. #19098450C22semidirect
138. #19098446C22semidirect
142. #19098443C22semidirect
143. #19098443C22semidirect
144. #19098443C22semidirect
151. #19098438C22semidirect
153. #19098435C22semidirect
155. #19098428C22semidirect
157. #19098421C22semidirect
160. C4⋊C4×Dic79C22semidirect
161. C4×Dic79⋊C4C22semidirect
162. #19098414C22semidirect
163. #19098414C22semidirect
164. C22⋊C4×Dic79C22semidirect
165. C22⋊C4×Dic79C22semidirect
166. C22⋊C4×Dic79C22semidirect
167. C22⋊C4×Dic79C22semidirect
173. C42×Dic79C22semidirect
174. C2×#123×C79C22semidirect
176. #398×C79C22semidirect
177. #397×C79C22semidirect
180. #394×C79C22semidirect
183. #392×C79C22semidirect
185. #390×C79C22semidirect
187. #388×C79C22semidirect
188. C4×C22⋊C4×C79C22semidirect
236. C4×C22⋊D79D4semidirect
843. #2661D79semidirect
865. C79#35009semidirect
883. C2×#123C2×D79semidirect
916. #398C2×D79semidirect
920. #397C2×D79semidirect
934. #394C2×D79semidirect
940. #392C2×D79semidirect
952. #390C2×D79semidirect
984. #388C2×D79semidirect
1019. C4×C22⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991562
C2×#190991452
#237717692
#237717642
#237717292
#237716992
#237695652
#237695482
#237695412
#237685452
#237685222
#237685152
#237684922
#237684072
#237683552
#237683252
#237682852
#237681042
#237680762
#237677292
#237675212
#237673992
#237673622
#237669522
#237669392
#237660702
#237660592
#237659162
#388×D792
C4×(C22⋊D79)⋊C42
C79×#26612
#3500979