Finite Group Databasebeta

← #34495807

Subgroups — #34495807

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×#19099181C211yesmaximal, characteristic, complemented
2C2×#19099145C211yesmaximal, characteristic, complemented
3#23771729C211yesmaximal, characteristic, complemented
4#23771699C211yesmaximal, characteristic, complemented
5#23770318C211yesmaximal, characteristic, complemented
6#23770225C211yesmaximal, characteristic, complemented
7#23770204C211yesmaximal, characteristic, complemented
8#23770165C211yesmaximal, characteristic, complemented
9#23769991C211yesmaximal, characteristic, complemented
10#23769967C211yesmaximal, characteristic, complemented
11#23769949C211yesmaximal, characteristic, complemented
12#23769874C211yesmaximal, characteristic, complemented
13#23769835C211yesmaximal, characteristic, complemented
14#23769805C211yesmaximal, characteristic, complemented
15#23769790C211yesmaximal, characteristic, complemented
16#23769775C211yesmaximal, characteristic, complemented
17#23769694C211yesmaximal, characteristic, complemented
18#23769683C211yesmaximal, characteristic, complemented
19#23769625C211yesmaximal, characteristic, complemented
20#23769602C211yesmaximal, characteristic, complemented
21#23769548C211yesmaximal, characteristic, complemented
22#23769084C211yesmaximal, characteristic, complemented
23#23769036C211yesmaximal, characteristic, complemented
24#23769009C211yesmaximal, characteristic, complemented
25#23768994C211yesmaximal, characteristic, complemented
26#23768886C211yesmaximal, characteristic, complemented
27#23768556C211yesmaximal, characteristic, complemented
28#23766826C211yesmaximal, characteristic, complemented
29#23766782C211yesmaximal, characteristic, complemented
30#23765839C211yesmaximal, characteristic, complemented
31C79×#2661C211yesmaximal, characteristic, complemented
32#19099181—28no—
33#19099145—28no—
34C2×#14579160C2211yescharacteristic, complemented
35C2×#14579156C2211yescharacteristic
36C2×#14579156C2211yescharacteristic
37C2×#14579154C2211yescharacteristic
38C2×#14579154C2211yescharacteristic, complemented
39C2×#14579148C2211yescharacteristic
40C2×#14579148C2211yescharacteristic
41C2×#14579148C2211yescharacteristic, complemented
42C2×#14579147C2211yescharacteristic
43C2×#14579147C2211yescharacteristic
44C2×#14579147C2211yescharacteristic
45C2×#14579144C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579142C2211yescharacteristic
48C2×#14579140C2211yescharacteristic, complemented
49C2×#14579139C2211yescharacteristic
50C2×#14579139C2211yescharacteristic
51C2×#14579138C2211yescharacteristic, complemented
52C2×#14579138C2211yescharacteristic, complemented
53C2×#14579133C2211yescharacteristic
54C2×#14579133C2211yescharacteristic
55C2×#14579133C2211yescharacteristic
56C2×#14579132C2211yescharacteristic
57C2×#14579129C2211yescharacteristic
58C2×#14579129C2211yescharacteristic
59C2×#14579129C2211yescharacteristic
60C2×#14579126C2211yescharacteristic, complemented
61C2×C4×C22⋊D79C2211yescharacteristic
62C2×(C22⋊D79)⋊C4C2211yescharacteristic
63C2×#14579118C2211yescharacteristic
64C2×#14579117C2211yescharacteristic, complemented
65C2×C22⋊C4×D79C2211yescharacteristic
66C22×C4×Dic79C2211yescharacteristic, complemented
67#19098505C2211yescharacteristic, complemented
68#19098503C2211yescharacteristic, complemented
69#19098500C2211yescharacteristic
70#19098499C2211yescharacteristic
71#19098494C2211yescharacteristic, complemented
72#19098492C2211yescharacteristic
73#19098492C2211yescharacteristic
74#19098492C2211yescharacteristic
75#19098491C2211yescharacteristic
76#19098491C2211yescharacteristic, complemented
77#19098490C2211yescharacteristic
78#19098489C2211yescharacteristic
79#19098488C2211yescharacteristic, complemented
80#19098488C2211yescharacteristic, complemented
81#19098486C2211yescharacteristic
82#19098486C2211yescharacteristic
83#19098486C2211yescharacteristic, complemented
84#19098485C2211yescharacteristic
85#19098484C2211yescharacteristic, complemented
86#19098484C2211yescharacteristic, complemented
87#19098483C2211yescharacteristic, complemented
88#19098479C2211yescharacteristic
89#19098479C2211yescharacteristic
90#19098479C2211yescharacteristic
91#19098479C2211yescharacteristic
92#19098479C2211yescharacteristic
93#19098478C2211yescharacteristic
94#19098478C2211yescharacteristic
95#19098478C2211yescharacteristic
96#19098477C2211yescharacteristic
97#19098477C2211yescharacteristic
98#19098476C2211yescharacteristic
99#19098476C2211yescharacteristic
100#19098476C2211yescharacteristic
101#19098475C2211yescharacteristic
102#19098475C2211yescharacteristic
103#19098475C2211yescharacteristic, complemented
104#19098475C2211yescharacteristic, complemented
105#19098471C2211yescharacteristic
106#19098471C2211yescharacteristic
107#19098468C2211yescharacteristic, complemented
108#19098467C2211yescharacteristic, complemented
109#19098467C2211yescharacteristic, complemented
110#19098467C2211yescharacteristic, complemented
111#19098466C2211yescharacteristic
112#19098463C2211yescharacteristic
113#19098463C2211yescharacteristic
114#19098463C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098461C2211yescharacteristic, complemented
117#19098461C2211yescharacteristic, complemented
118#19098460C2211yescharacteristic, complemented
119#19098458C2211yescharacteristic, complemented
120#19098458C2211yescharacteristic, complemented
121#19098457C2211yescharacteristic
122#19098457C2211yescharacteristic
123#19098457C2211yescharacteristic
124#19098457C2211yescharacteristic, complemented
125#19098457C2211yescharacteristic, complemented
126#19098457C2211yescharacteristic, complemented
127#19098457C2211yescharacteristic, complemented
128#19098457C2211yescharacteristic, complemented
129#19098456C2211yescharacteristic
130#19098456C2211yescharacteristic
131#19098456C2211yescharacteristic, complemented
132#19098454C2211yescharacteristic
133#19098454C2211yescharacteristic
134#19098453C2211yescharacteristic
135#19098453C2211yescharacteristic
136#19098453C2211yescharacteristic
137#19098452C2211yescharacteristic
138#19098452C2211yescharacteristic
139#19098449C2211yescharacteristic, complemented
140#19098449C2211yescharacteristic, complemented
141#19098446C2211yescharacteristic, complemented
142#19098445C2211yescharacteristic, complemented
143#19098445C2211yescharacteristic, complemented
144#19098445C2211yescharacteristic, complemented
145#19098443C2211yescharacteristic
146#19098443C2211yescharacteristic
147#19098443C2211yescharacteristic
148#19098443C2211yescharacteristic, complemented
149#19098443C2211yescharacteristic, complemented
150#19098443C2211yescharacteristic, complemented
151#19098443C2211yescharacteristic, complemented
152#19098443C2211yescharacteristic, complemented
153#19098440C2211yescharacteristic
154#19098440C2211yescharacteristic
155#19098440C2211yescharacteristic
156#19098440C2211yescharacteristic
157#19098439C2211yescharacteristic
158#19098438C2211yescharacteristic, complemented
159#19098438C2211yescharacteristic, complemented
160#19098435C2211yescharacteristic, complemented
161#19098435C2211yescharacteristic, complemented
162#19098434C2211yescharacteristic
163#19098428C2211yescharacteristic, complemented
164#19098425C2211yescharacteristic
165#19098425C2211yescharacteristic
166#19098421C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic, complemented
168#19098418C2211yescharacteristic
169#19098418C2211yescharacteristic
170#19098418C2211yescharacteristic
171C4×Dic79⋊C4C2211yescharacteristic, complemented
172C4×(C2×D79)⋊C4C2211yescharacteristic
173#19098409C2211yescharacteristic, 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×Dic158C2311yescharacteristic
193C22×Dic158C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206#14579160—24no—
207#14579156—24no—
208#14579156—24no—
209#14579154—24no—
210#14579154—24no—
211#14579148—24no—
212#14579148—24no—
213#14579148—42no—
214#14579147—24no—
215#14579147—24no—
216#14579147—24no—
217#14579144—24no—
218#14579143—24no—
219#14579142—24no—
220#14579140—24no—
221#14579139—24no—
222#14579139—24no—
223#14579138—24no—
224#14579138—42no—
225#14579133—24no—
226#14579133—24no—
227#14579133—42no—
228#14579132—24no—
229#14579129—24no—
230#14579129—24no—
231#14579129—42no—
232#14579126—24no—
233C4×C22⋊D79D418yescomplemented
234(C22⋊D79)⋊C4—24no—
235#14579118—42no—
236#14579117—24no—
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×(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×Dic79—42no—
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
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
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C22×D4×C79C2311yescharacteristic
343C22×D4×C79C2311yescharacteristic
344C22×D4×C79C2311yescharacteristic
345C22×D4×C79C2311yescharacteristic
346C22×D4×C79C2311yescharacteristic
347C22×D4×C79C2311yescharacteristic
348C23×C4×C79C2311yescharacteristic
349#123×C79—24no—
350#121×C79—24no—
351C2×C4⋊C4×C79C2311yescharacteristic
352C2×C4⋊C4×C79C2311yescharacteristic
353C2×C4⋊C4×C79C2311yescharacteristic
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C42×C79C2311yescharacteristic
372C2×C42×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
388C2×Dic158—22no—
389C2×Dic158—22no—
390C2×Dic158—22no—
391C2×Dic158—22no—
392C2×Dic158—41no—
393C2×Dic158—41no—
394C2×Dic158—41no—
395C2×Dic158—41no—
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—41no—
406C2×C22⋊D79—41no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C2×C22⋊D79—41no—
415C2×C22⋊D79—41no—
416C2×C22⋊D79—41no—
417C2×C22⋊D79C2×D414yes—
418C22×Dic79—22no—
419C22×Dic79—22no—
420C22×Dic79—22no—
421C22×Dic79—41no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79—41no—
427C22×Dic79—41no—
428C22×Dic79—41no—
429C22×Dic79—41no—
430C22×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—41no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79C2×D414yes—
450C4⋊Dic79—22no—
451C4⋊Dic79—22no—
452C4⋊Dic79—22no—
453C4⋊Dic79—41no—
454C4⋊Dic79—41no—
455C4⋊Dic79—41no—
456C4⋊Dic79—41no—
457Dic79⋊C4—22no—
458Dic79⋊C4—22no—
459Dic79⋊C4—22no—
460Dic79⋊C4—22no—
461Dic79⋊C4—22no—
462Dic79⋊C4—22no—
463Dic79⋊C4—22no—
464Dic79⋊C4—22no—
465Dic79⋊C4—22no—
466Dic79⋊C4—22no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4C2×D414yes—
473C22⋊Dic79—22no—
474C22⋊Dic79—22no—
475C22⋊Dic79—22no—
476C22⋊Dic79—22no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483C22⋊Dic79—22no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
493C22⋊Dic79C2×D414yes—
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)⋊C4C2×D414yes—
514C4×Dic79—22no—
515C4×Dic79—22no—
516C4×Dic79—22no—
517C4×Dic79—22no—
518C4×Dic79—22no—
519C4×Dic79—22no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C4×Dic79C2×D414yes—
523C24×C79C2411yescharacteristic
524C24×C79C2411yescharacteristic
525C24×C79C2411yescharacteristic
526C24×C79C2411yescharacteristic
527C2×D4×C79—22no—
528C2×D4×C79—22no—
529C2×D4×C79—22no—
530C2×D4×C79—22no—
531C2×D4×C79—41no—
532C2×D4×C79—41no—
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79—41no—
536C2×D4×C79—41no—
537C2×D4×C79—41no—
538C2×D4×C79—41no—
539C2×D4×C79—41no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C2×D4×C79—41no—
543C2×D4×C79—41no—
544C2×D4×C79—41no—
545C22×C4×C79—41no—
546C22×C4×C79—41no—
547C22×C4×C79C2×D414yes—
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
558C22×C4×C79C2411yescharacteristic
559C4⋊C4×C79—22no—
560C4⋊C4×C79—22no—
561C4⋊C4×C79—22no—
562C4⋊C4×C79—41no—
563C4⋊C4×C79—41no—
564C22⋊C4×C79—22no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—22no—
567C22⋊C4×C79—22no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
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—41no—
580C42×C79—41no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79C22×D412yes—
609C23×C79C2511yescharacteristic
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—44no—
624C22×D79—82no—
625C22×D79—82no—
626C22×D79—82no—
627C22×D79—82no—
628C22×D79—82no—
629C22×D79—82no—
630C22×D79C22×D412yes—
631D4×C79—82no—
632D4×C79—82no—
633D4×C79—82no—
634D4×C79—82no—
635D4×C79—82no—
636D4×C79—82no—
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—44no—
669C2×C4×C79C22×D412yes—
670C2×C4×C79C22×D412yes—
671C22⋊D79—44no—
672C22⋊D79—44no—
673C22⋊D79—82no—
674C22⋊D79—82no—
675C22⋊D79—82no—
676C22⋊D79—82no—
677C2×Dic79—21no—
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—44no—
716C2×Dic79—44no—
717C2×Dic79—44no—
718C2×Dic79—82no—
719C2×Dic79C22×D412yes—
720C2×Dic79C22×D412yes—
721C2×Dic79C22×D412yes—
722C2×Dic79H(5,𝔽2)12yes—
723C4×D79—44no—
724C4×D79—82no—
725Dic158—44no—
726Dic158—82no—
727Dic158—82no—
728Dic158—82no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
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×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×C79C23×D411yescharacteristic
758C22×C79C2×H(5,𝔽2)11yescharacteristic
759C22×C79#58511yescharacteristic
760C22×C79#58511yescharacteristic
761C22×C79#58511yescharacteristic
762C22×C79#58511yescharacteristic
763C22×C79#58511yescharacteristic
764C2×D79—22no—
765C2×D79—22no—
766C2×D79—22no—
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—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790Dic79—22no—
791Dic79—22no—
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—42no—
806C2×C79—81no—
807C2×C79—81no—
808C2×C79—81no—
809C2×C79#344911yescharacteristic
810C2×C79#349611yescharacteristic
811C2×C79#350011yescharacteristic
812C2×C79#353311yescharacteristic
813C2×C79#354011yescharacteristic
814C2×C79#356611yescharacteristic
815C2×C79#356811yescharacteristic
816D79—42no—
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#2674—791no—
836#2670—791no—
837#2668—791no—
838#2663—791no—
839#2661D7911yescharacteristic, complemented
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⋊Q8—791no—
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×#124—791no—
863C2×#123—791no—
864C2×#123—791no—
865C2×#123—791no—
866C2×#123C2×D7911yescharacteristic, complemented
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×C22⋊Q8—791no—
870C2×C22⋊Q8—791no—
871C2×C22⋊Q8—791no—
872C2×#121—791no—
873C2×#121—791no—
874C2×#121—791no—
875C2×#121—791no—
876C2×#121C2×D7911yescharacteristic
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#399—791no—
891#398—791no—
892#398C2×D7911yescharacteristic, complemented
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#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#394C2×D7911yescharacteristic
921#394C2×D7911yescharacteristic
922#394C2×D7911yescharacteristic, complemented
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#392C2×D7911yescharacteristic
933#392C2×D7911yescharacteristic
934#392C2×D7911yescharacteristic, complemented
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#390C2×D7911yescharacteristic
945#390C2×D7911yescharacteristic, complemented
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#388C2×D7911yescharacteristic
970#388C2×D7911yescharacteristic, complemented
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⋊C4C2×D7911yescharacteristic, complemented
1006#376—791no—
1007C25—791no—
1008C22×Q8—791no—
1009C22×Q8—791no—
1010C22×Q8—791no—
1011C22×Q8—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4—791no—
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×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4C22×D7911yescharacteristic
1031C4⋊Q8—1584no—
1032#126—1584no—
1033#126—1584no—
1034#126—1584no—
1035#126—1584no—
1036#124—3162no—
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—3162no—
1047C22⋊Q8—1584no—
1048C22⋊Q8—1584no—
1049C22⋊Q8—1584no—
1050C22⋊Q8—1584no—
1051#121—24no—
1052#121—3162no—
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⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
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—1584no—
1134C2×C22⋊C4C22×D7911yescharacteristic
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#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—1582no—
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C24C23×D7911yescharacteristic
1209C24C23×D7911yescharacteristic
1210C2×Q8—3161no—
1211C2×Q8—3161no—
1212C2×Q8—3161no—
1213C2×Q8—3161no—
1214C2×Q8—3161no—
1215C2×Q8—3161no—
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—1582no—
1219C2×Q8—1582no—
1220C2×Q8—1582no—
1221C2×Q8—1582no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
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—3161no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—3161no—
1252C2×D4—794no—
1253C2×D4—1582no—
1254C2×D4—1582no—
1255C2×D4—1582no—
1256C2×D4—1582no—
1257C2×D4—1582no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—3161no—
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—794no—
1274C22×C4—791no—
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—1582no—
1289C22×C4—1582no—
1290C22×C4—1582no—
1291C22×C4—1582no—
1292C22×C4D4×D7914yes—
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—41no—
1308C4⋊C4—41no—
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—794no—
1319C4⋊C4—1582no—
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⋊C4—1582no—
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—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
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—41no—
1389C42—41no—
1390C42—3161no—
1391C42—3161no—
1392C42—794no—
1393C42—1582no—
1394C42—1582no—
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—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—3164no—
1427C23—792no—
1428C23—6322no—
1429C23—6322no—
1430C23—6322no—
1431C23—6322no—
1432C23—6322no—
1433C23—6322no—
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—
1447C23C2×D4×D7912yes—
1448C23C24×D7911yescharacteristic
1449Q8—3164no—
1450Q8—6322no—
1451Q8—6322no—
1452Q8—6322no—
1453D4—82no—
1454D4—82no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—3164no—
1460D4—3164no—
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—44no—
1497C2×C4—3164no—
1498C2×C4—3164no—
1499C2×C4—3164no—
1500C2×C4—3164no—
1501C2×C4—792no—
1502C2×C4—792no—
1503C2×C4—792no—
1504C2×C4—792no—
1505C2×C4—6322no—
1506C2×C4—6322no—
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×C4—1581no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4C2×D4×D7912yes—
1546C2×C4C2×D4×D7912yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
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—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—3161no—
1580C22—3161no—
1581C22—3161no—
1582C22—3161no—
1583C22—3161no—
1584C22—3161no—
1585C22—3161no—
1586C22—6328no—
1587C22—1582no—
1588C22—1582no—
1589C22—1582no—
1590C22C22×D4×D7911yescharacteristic
1591C22H(5,𝔽2)×D7911yescharacteristic
1592C22#1909939811yescharacteristic
1593C22#1909939811yescharacteristic
1594C22#1909939811yescharacteristic
1595C22#1909939911yescharacteristic
1596C22#1909939911yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—1582no—
1619C4—1582no—
1620C4—1582no—
1621C4—1582no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—81no—
1626C2—3162no—
1627C2—6321no—
1628C2#2377672711yescharacteristic
1629C2#2377716111yescharacteristic
1630C2#2377719211yescharacteristic
1631C2#2377756011yescharacteristic
1632C2#2377767111yescharacteristic
1633C2#2377807211yescharacteristic
1634C2#2377809311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2661C2
hypercenter#2661D79
hypocenterC79#36745
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2661

Complements

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

NH ≅ G/Ntype
1. C2×#19099181C2semidirect
2. C2×#19099145C2semidirect
3. #23771729C2semidirect
4. #23771699C2semidirect
5. #23770318C2semidirect
6. #23770225C2semidirect
7. #23770204C2semidirect
8. #23770165C2semidirect
9. #23769991C2semidirect
10. #23769967C2semidirect
11. #23769949C2semidirect
12. #23769874C2semidirect
13. #23769835C2semidirect
14. #23769805C2semidirect
15. #23769790C2semidirect
16. #23769775C2semidirect
17. #23769694C2semidirect
18. #23769683C2semidirect
19. #23769625C2semidirect
20. #23769602C2semidirect
21. #23769548C2semidirect
22. #23769084C2semidirect
23. #23769036C2semidirect
24. #23769009C2semidirect
25. #23768994C2semidirect
26. #23768886C2semidirect
27. #23768556C2semidirect
28. #23766826C2semidirect
29. #23766782C2semidirect
30. #23765839C2semidirect
31. C79×#2661C2semidirect
34. C2×#14579160C22semidirect
38. C2×#14579154C22semidirect
41. C2×#14579148C22semidirect
48. C2×#14579140C22semidirect
51. C2×#14579138C22semidirect
52. C2×#14579138C22semidirect
60. C2×#14579126C22semidirect
64. C2×#14579117C22semidirect
66. C22×C4×Dic79C22semidirect
67. #19098505C22semidirect
68. #19098503C22semidirect
71. #19098494C22semidirect
76. #19098491C22semidirect
79. #19098488C22semidirect
80. #19098488C22semidirect
83. #19098486C22semidirect
85. #19098484C22semidirect
86. #19098484C22semidirect
87. #19098483C22semidirect
103. #19098475C22semidirect
104. #19098475C22semidirect
107. #19098468C22semidirect
108. #19098467C22semidirect
109. #19098467C22semidirect
110. #19098467C22semidirect
116. #19098461C22semidirect
117. #19098461C22semidirect
118. #19098460C22semidirect
119. #19098458C22semidirect
120. #19098458C22semidirect
124. #19098457C22semidirect
125. #19098457C22semidirect
126. #19098457C22semidirect
127. #19098457C22semidirect
128. #19098457C22semidirect
131. #19098456C22semidirect
139. #19098449C22semidirect
140. #19098449C22semidirect
141. #19098446C22semidirect
142. #19098445C22semidirect
143. #19098445C22semidirect
144. #19098445C22semidirect
148. #19098443C22semidirect
149. #19098443C22semidirect
150. #19098443C22semidirect
151. #19098443C22semidirect
152. #19098443C22semidirect
158. #19098438C22semidirect
159. #19098438C22semidirect
160. #19098435C22semidirect
161. #19098435C22semidirect
163. #19098428C22semidirect
166. #19098421C22semidirect
167. #19098421C22semidirect
171. C4×Dic79⋊C4C22semidirect
173. #19098409C22semidirect
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
233. C4×C22⋊D79D4semidirect
839. #2661D79semidirect
849. C79#36745semidirect
866. C2×#123C2×D79semidirect
892. #398C2×D79semidirect
902. #397C2×D79semidirect
922. #394C2×D79semidirect
934. #392C2×D79semidirect
945. #390C2×D79semidirect
970. #388C2×D79semidirect
1005. 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×#190991812
C2×#190991452
#237717292
#237716992
#237703182
#237702252
#237702042
#237701652
#237699912
#237699672
#237699492
#237698742
#237698352
#237698052
#237697902
#237697752
#237696942
#237696832
#237696252
#237696022
#237695482
#237690842
#237690362
#237690092
#237689942
#237688862
#237685562
#237668262
#237667822
#237658392
C79×#26612
#3674579