Finite Group Databasebeta

← #34502141

Subgroups — #34502141

Order 20224.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099147C211yesmaximal, characteristic, complemented
2C2×#19099091C211yesmaximal, characteristic, complemented
3#23771727C211yesmaximal, characteristic, complemented
4#23771720C211yesmaximal, characteristic, complemented
5#23770359C211yesmaximal, characteristic, complemented
6#23770335C211yesmaximal, characteristic, complemented
7#23770135C211yesmaximal, characteristic, complemented
8#23770098C211yesmaximal, characteristic, complemented
9#23770068C211yesmaximal, characteristic, complemented
10#23770036C211yesmaximal, characteristic, complemented
11#23770010C211yesmaximal, characteristic, complemented
12#23769960C211yesmaximal, characteristic, complemented
13#23769850C211yesmaximal, characteristic, complemented
14#23769790C211yesmaximal, characteristic, complemented
15#23769763C211yesmaximal, characteristic, complemented
16#23769722C211yesmaximal, characteristic, complemented
17#23769680C211yesmaximal, characteristic, complemented
18#23769674C211yesmaximal, characteristic, complemented
19#23769644C211yesmaximal, characteristic, complemented
20#23769625C211yesmaximal, characteristic, complemented
21#23769288C211yesmaximal, characteristic, complemented
22#23769243C211yesmaximal, characteristic, complemented
23#23769038C211yesmaximal, characteristic, complemented
24#23768997C211yesmaximal, characteristic, complemented
25#23768984C211yesmaximal, characteristic, complemented
26#23768381C211yesmaximal, characteristic, complemented
27#23768288C211yesmaximal, characteristic, complemented
28#23767694C211yesmaximal, characteristic, complemented
29#23767672C211yesmaximal, characteristic, complemented
30#23766044C211yesmaximal, characteristic, complemented
31C79×#2610C211yesmaximal, characteristic, complemented
32#19099147—28no—
33C2×#14579159C2211yescharacteristic, complemented
34#19099091—28no—
35C2×#14579156C2211yescharacteristic
36C2×#14579155C2211yescharacteristic
37C2×#14579154C2211yescharacteristic
38C2×#14579154C2211yescharacteristic, complemented
39C2×#14579151C2211yescharacteristic, complemented
40C2×#14579150C2211yescharacteristic
41C2×#14579148C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579146C2211yescharacteristic
44C2×#14579146C2211yescharacteristic
45C2×#14579145C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579143C2211yescharacteristic, complemented
49C2×#14579143C2211yescharacteristic, complemented
50C2×#14579139C2211yescharacteristic, complemented
51C2×#14579137C2211yescharacteristic
52C2×#14579134C2211yescharacteristic
53C2×#14579134C2211yescharacteristic
54C2×#14579134C2211yescharacteristic
55C2×#14579133C2211yescharacteristic
56C2×#14579131C2211yescharacteristic
57C2×#14579129C2211yescharacteristic
58C2×#14579129C2211yescharacteristic
59C2×C4×Dic158C2211yescharacteristic, complemented
60C2×C4×D316C2211yescharacteristic
61C2×C4×C22⋊D79C2211yescharacteristic
62C2×C4×C22⋊D79C2211yescharacteristic, complemented
63C2×(C22⋊D79)⋊C4C2211yescharacteristic
64C2×#14579118C2211yescharacteristic
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C42×D79C2211yescharacteristic, complemented
67#19098504C2211yescharacteristic, complemented
68#19098503C2211yescharacteristic, complemented
69#19098500C2211yescharacteristic
70#19098499C2211yescharacteristic
71#19098499C2211yescharacteristic, complemented
72#19098498C2211yescharacteristic
73#19098497C2211yescharacteristic, complemented
74#19098496C2211yescharacteristic, complemented
75#19098492C2211yescharacteristic
76#19098492C2211yescharacteristic
77#19098492C2211yescharacteristic
78#19098492C2211yescharacteristic, complemented
79#19098491C2211yescharacteristic
80#19098489C2211yescharacteristic
81#19098487C2211yescharacteristic
82#19098486C2211yescharacteristic
83#19098486C2211yescharacteristic
84#19098486C2211yescharacteristic
85#19098486C2211yescharacteristic
86#19098486C2211yescharacteristic, complemented
87#19098486C2211yescharacteristic, complemented
88#19098486C2211yescharacteristic, complemented
89#19098486C2211yescharacteristic, complemented
90#19098485C2211yescharacteristic
91#19098484C2211yescharacteristic, complemented
92#19098481C2211yescharacteristic
93#19098479C2211yescharacteristic
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic, complemented
97#19098479C2211yescharacteristic, complemented
98#19098478C2211yescharacteristic
99#19098478C2211yescharacteristic
100#19098478C2211yescharacteristic
101#19098478C2211yescharacteristic
102#19098478C2211yescharacteristic
103#19098477C2211yescharacteristic
104#19098477C2211yescharacteristic
105#19098476C2211yescharacteristic
106#19098472C2211yescharacteristic
107#19098471C2211yescharacteristic
108#19098471C2211yescharacteristic
109#19098471C2211yescharacteristic
110#19098471C2211yescharacteristic, complemented
111#19098470C2211yescharacteristic, complemented
112#19098466C2211yescharacteristic
113#19098465C2211yescharacteristic
114#19098465C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098463C2211yescharacteristic
117#19098463C2211yescharacteristic
118#19098461C2211yescharacteristic, complemented
119#19098461C2211yescharacteristic, complemented
120#19098461C2211yescharacteristic, complemented
121#19098461C2211yescharacteristic, complemented
122#19098460C2211yescharacteristic, complemented
123#19098460C2211yescharacteristic, complemented
124#19098458C2211yescharacteristic, complemented
125#19098458C2211yescharacteristic, complemented
126#19098458C2211yescharacteristic, complemented
127#19098457C2211yescharacteristic
128#19098457C2211yescharacteristic, complemented
129#19098456C2211yescharacteristic
130#19098456C2211yescharacteristic, complemented
131#19098455C2211yescharacteristic
132#19098455C2211yescharacteristic
133#19098454C2211yescharacteristic
134#19098454C2211yescharacteristic
135#19098454C2211yescharacteristic
136#19098453C2211yescharacteristic
137#19098452C2211yescharacteristic
138#19098452C2211yescharacteristic
139#19098452C2211yescharacteristic, complemented
140#19098452C2211yescharacteristic, complemented
141#19098451C2211yescharacteristic
142#19098451C2211yescharacteristic
143#19098451C2211yescharacteristic, complemented
144#19098451C2211yescharacteristic, complemented
145#19098450C2211yescharacteristic, complemented
146#19098449C2211yescharacteristic, complemented
147#19098448C2211yescharacteristic, complemented
148#19098448C2211yescharacteristic, complemented
149#19098447C2211yescharacteristic, complemented
150#19098445C2211yescharacteristic, complemented
151#19098443C2211yescharacteristic, complemented
152#19098442C2211yescharacteristic
153#19098441C2211yescharacteristic
154#19098439C2211yescharacteristic
155#19098439C2211yescharacteristic
156#19098439C2211yescharacteristic, complemented
157#19098437C2211yescharacteristic
158#19098437C2211yescharacteristic, complemented
159#19098436C2211yescharacteristic, complemented
160#19098435C2211yescharacteristic, complemented
161#19098434C2211yescharacteristic
162#19098434C2211yescharacteristic, complemented
163#19098425C2211yescharacteristic
164#19098425C2211yescharacteristic
165#19098425C2211yescharacteristic, complemented
166#19098422C2211yescharacteristic
167#19098422C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169#19098421C2211yescharacteristic, complemented
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172#19098418C2211yescharacteristic
173C4×C4⋊Dic79C2211yescharacteristic, complemented
174C2×#124×C79C2211yescharacteristic
175C2×#117×C79C2211yescharacteristic, complemented
176#395×C79C2211yescharacteristic, complemented
177#394×C79C2211yescharacteristic
178#393×C79C2211yescharacteristic, complemented
179#392×C79C2211yescharacteristic
180#390×C79C2211yescharacteristic
181#390×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic
183#388×C79C2211yescharacteristic
184#388×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#386×C79C2211yescharacteristic
187#386×C79C2211yescharacteristic, complemented
188#376×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C22×C4×D79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206#14579159—42no—
207#14579156—24no—
208#14579155—24no—
209#14579154—24no—
210#14579154—24no—
211#14579151—24no—
212#14579150—24no—
213#14579148—42no—
214#14579147—24no—
215#14579146—24no—
216#14579146—42no—
217#14579145—24no—
218#14579143—24no—
219#14579143—24no—
220#14579143—42no—
221#14579143—42no—
222#14579139—24no—
223#14579137—24no—
224#14579134—24no—
225#14579134—24no—
226#14579134—24no—
227#14579133—24no—
228#14579131—24no—
229#14579129—24no—
230#14579129—42no—
231C4×Dic158—24no—
232C4×D316D418yescomplemented
233C4×C22⋊D79—24no—
234C4×C22⋊D79—24no—
235(C22⋊D79)⋊C4—24no—
236#14579118—24no—
237C2×C4⋊Dic79C2311yescharacteristic
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×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
266C2×Dic79⋊C4C2311yescharacteristic
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×(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
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C22⋊C4×D79—24no—
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C42×D79—24no—
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×Q8×C79C2311yescharacteristic
343C22×D4×C79C2311yescharacteristic
344C22×D4×C79C2311yescharacteristic
345C22×D4×C79C2311yescharacteristic
346C23×C4×C79C2311yescharacteristic
347#124×C79—24no—
348#117×C79—24no—
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C4⋊C4×C79C2311yescharacteristic
352C2×C4⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊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×C42×C79C2311yescharacteristic
368C2×C42×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
389C2×Dic158—22no—
390C2×Dic158—22no—
391C2×Dic158—41no—
392C2×D316—22no—
393C2×D316—41no—
394C2×D316—41no—
395C2×D316—41no—
396C2×D316—41no—
397C2×D316C2×D414yes—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—22no—
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⋊D79—41no—
418C2×C22⋊D79—41no—
419C22×Dic79—22no—
420C22×Dic79—41no—
421C22×Dic79—41no—
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—22no—
438C2×C4×D79—22no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79C2×D414yes—
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—
457C4⋊Dic79—41no—
458C4⋊Dic79C2×D414yes—
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—22no—
468Dic79⋊C4—22no—
469Dic79⋊C4—22no—
470Dic79⋊C4—22no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483C22⋊Dic79—22no—
484C22⋊Dic79—22no—
485C22⋊Dic79—22no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
493C22⋊Dic79—41no—
494C22⋊Dic79—41no—
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—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—22no—
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—22no—
527C4×Dic79—41no—
528C4×Dic79—41no—
529C24×C79C2411yescharacteristic
530C24×C79C2411yescharacteristic
531C24×C79C2411yescharacteristic
532C2×Q8×C79—22no—
533C2×Q8×C79—41no—
534C2×Q8×C79—41no—
535C2×D4×C79—22no—
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—
544C22×C4×C79—22no—
545C22×C4×C79—41no—
546C22×C4×C79—41no—
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
558C22×C4×C79C2411yescharacteristic
559C4⋊C4×C79—22no—
560C4⋊C4×C79—22no—
561C4⋊C4×C79—41no—
562C4⋊C4×C79—41no—
563C22⋊C4×C79—22no—
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—
577C42×C79—22no—
578C42×C79—41no—
579C42×C79—41no—
580C42×C79C2×D414yes—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79C2511yescharacteristic
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—
632D4×C79—82no—
633D4×C79—82no—
634D4×C79—82no—
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—44no—
669C2×C4×C79C22×D412yes—
670C2×C4×C79C22×D412yes—
671C2×C4×C79C22×D412yes—
672C22⋊D79—44no—
673C22⋊D79—44no—
674C22⋊D79—44no—
675C22⋊D79—82no—
676C22⋊D79—82no—
677C22⋊D79—82no—
678C22⋊D79—82no—
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—82no—
716C2×Dic79C22×D412yes—
717C2×Dic79C22×D412yes—
718C2×Dic79H(5,𝔽2)12yes—
719D316—44no—
720D316—82no—
721C4×D79—44no—
722C4×D79—44no—
723C4×D79—44no—
724C4×D79—44no—
725C4×D79—82no—
726Dic158—44no—
727C22×C79—41no—
728C22×C79—41no—
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×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79C23×D411yescharacteristic
749C22×C79C2×H(5,𝔽2)11yescharacteristic
750C22×C79#58511yescharacteristic
751C22×C79#58511yescharacteristic
752C22×C79#58511yescharacteristic
753C22×C79#58511yescharacteristic
754C22×C79#58511yescharacteristic
755C2×D79—22no—
756C2×D79—22no—
757C2×D79—22no—
758C2×D79—22no—
759C2×D79—22no—
760C2×D79—22no—
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—88no—
777C4×C79—22no—
778C4×C79—22no—
779C4×C79—22no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789Dic79—22no—
790Dic79—22no—
791Dic79—22no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802#36973—791nomaximal, Sylow
803C2×C79—81no—
804C2×C79—81no—
805C2×C79—81no—
806C2×C79#344911yescharacteristic
807C2×C79#348511yescharacteristic
808C2×C79#348811yescharacteristic
809C2×C79#355111yescharacteristic
810C2×C79#356211yescharacteristic
811C2×C79#356611yescharacteristic
812C2×C79#356811yescharacteristic
813D79—42no—
814D79—42no—
815D79—81no—
816C2×#538—791no—
817C2×#529—791no—
818#2854—791no—
819#2853—791no—
820#2727—791no—
821#2725—791no—
822#2710—791no—
823#2707—791no—
824#2705—791no—
825#2703—791no—
826#2701—791no—
827#2697—791no—
828#2689—791no—
829#2685—791no—
830#2682—791no—
831#2678—791no—
832#2674—791no—
833#2674—791no—
834#2672—791no—
835#2670—791no—
836#2635—791no—
837#2630—791no—
838#2610D7911yescharacteristic, complemented
839#2604—791no—
840#2601—791no—
841#2600—791no—
842#2545—791no—
843#2534—791no—
844#2485—791no—
845#2482—791no—
846#2319—791no—
847C79#3697311yescharacteristic, complemented, Sylow
848#538—1588no—
849C2×C4⋊Q8—791no—
850#529—1588no—
851C2×#126—791no—
852C2×#126—791no—
853C2×#126—791no—
854C2×#126—791no—
855C2×#125—791no—
856C2×#124—791no—
857C2×#124—791no—
858C2×#124—791no—
859C2×#124C2×D7911yescharacteristic
860C2×#123—791no—
861C2×#123—791no—
862C2×#123—791no—
863C2×#123—791no—
864C2×#123—791no—
865C2×#123—791no—
866C2×#123—791no—
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×#121—791no—
870C2×#121—791no—
871C2×#121—791no—
872C2×#121—791no—
873C2×#120—791no—
874C2×#120—791no—
875C2×#120—791no—
876C2×C4×Q8—791no—
877C2×C4×D4—791no—
878C2×C4×D4—791no—
879C2×C4×D4—791no—
880C2×C4×D4—791no—
881C2×#117—791no—
882C2×#117C2×D7911yescharacteristic, complemented
883C22×C22⋊C4—791no—
884C22×C42—791no—
885#400—791no—
886#400—791no—
887#399—791no—
888#399—791no—
889#399—791no—
890#399—791no—
891#398—791no—
892#398—791no—
893#397—791no—
894#397—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#396—791no—
900#396—791no—
901#396—791no—
902#396—791no—
903#396—791no—
904#396—791no—
905#396—791no—
906#396—791no—
907#396—791no—
908#396—791no—
909#395—791no—
910#395C2×D7911yescharacteristic, complemented
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394C2×D7911yescharacteristic
925#393—791no—
926#393C2×D7911yescharacteristic, complemented
927#392—791no—
928#392—791no—
929#392—791no—
930#392—791no—
931#392—791no—
932#392C2×D7911yescharacteristic
933#391—791no—
934#390—791no—
935#390—791no—
936#390—791no—
937#390—791no—
938#390—791no—
939#390—791no—
940#390C2×D7911yescharacteristic
941#390C2×D7911yescharacteristic, complemented
942#389—791no—
943#389—791no—
944#389—791no—
945#389—791no—
946#389—791no—
947#389—791no—
948#389—791no—
949#389—791no—
950#389—791no—
951#388—791no—
952#388—791no—
953#388—791no—
954#388—791no—
955#388—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388C2×D7911yescharacteristic
970#388C2×D7911yescharacteristic
971#388C2×D7911yescharacteristic, complemented
972#388C2×D7911yescharacteristic, complemented
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#387—791no—
978#387—791no—
979#386—791no—
980#386—791no—
981#386—791no—
982#386—791no—
983#386—791no—
984#386—791no—
985#386C2×D7911yescharacteristic
986#386C2×D7911yescharacteristic, complemented
987#385—791no—
988#385—791no—
989#385—791no—
990#385—791no—
991#385—791no—
992#385—791no—
993#381—791no—
994#381—791no—
995#381—791no—
996#380—791no—
997#380—791no—
998#380—791no—
999#380—791no—
1000#379—791no—
1001#379—791no—
1002#379—791no—
1003C4×C4⋊C4—791no—
1004#376C2×D7911yescharacteristic, complemented
1005C25—791no—
1006C22×Q8—791no—
1007C22×Q8C22×D7911yescharacteristic
1008C22×D4—791no—
1009C22×D4—791no—
1010C22×D4—791no—
1011C22×D4—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4C22×D7911yescharacteristic
1018C22×D4C22×D7911yescharacteristic
1019C22×D4C22×D7911yescharacteristic
1020C23×C4—791no—
1021C23×C4—791no—
1022C23×C4—791no—
1023C23×C4—791no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4C22×D7911yescharacteristic
1027C4⋊Q8—3162no—
1028#126—1584no—
1029#126—1584no—
1030#126—1584no—
1031#126—1584no—
1032#125—1584no—
1033#124—24no—
1034#124—3162no—
1035#124—1584no—
1036#124—1584no—
1037#123—3162no—
1038#123—3162no—
1039#123—3162no—
1040#123—1584no—
1041#123—1584no—
1042#123—1584no—
1043#123—1584no—
1044C22⋊Q8—1584no—
1045C22⋊Q8—1584no—
1046#121—1584no—
1047#121—1584no—
1048#121—1584no—
1049#121—1584no—
1050#120—3162no—
1051#120—1584no—
1052#120—1584no—
1053C4×Q8—1584no—
1054C4×D4—798no—
1055C4×D4—1584no—
1056C4×D4—1584no—
1057C4×D4—1584no—
1058#117—24no—
1059#117—1584no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
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⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4C22×D7911yescharacteristic
1091C2×C4⋊C4C22×D7911yescharacteristic
1092C2×C4⋊C4C22×D7911yescharacteristic
1093C2×C4⋊C4C22×D7911yescharacteristic
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—1584no—
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×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C42—791no—
1152C2×C42—791no—
1153C2×C42—791no—
1154C2×C42—791no—
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42—1584no—
1159C2×C42C22×D7911yescharacteristic
1160C2×C42C22×D7911yescharacteristic
1161C2×C42C22×D7911yescharacteristic
1162C2×C42C22×D7911yescharacteristic
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#95C22×D7911yescharacteristic
1188#95C22×D7911yescharacteristic
1189#95C22×D7911yescharacteristic
1190#95C22×D7911yescharacteristic
1191#95C22×D7911yescharacteristic
1192#95C22×D7911yescharacteristic
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195C24—3161no—
1196C24—3161no—
1197C24—3161no—
1198C24—3161no—
1199C24—3161no—
1200C24—3161no—
1201C24—791no—
1202C24—791no—
1203C24—791no—
1204C24—1582no—
1205C24C23×D7911yescharacteristic
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×Q8—3161no—
1212C2×Q8—1582no—
1213C2×Q8—1582no—
1214C2×D4—22no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—3161no—
1224C2×D4—3161no—
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—794no—
1242C2×D4—1582no—
1243C2×D4—1582no—
1244C2×D4—1582no—
1245C2×D4—1582no—
1246C2×D4—1582no—
1247C2×D4—1582no—
1248C2×D4—1582no—
1249C2×D4—1582no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—794no—
1265C22×C4—794no—
1266C22×C4—791no—
1267C22×C4—791no—
1268C22×C4—791no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—1582no—
1280C22×C4—1582no—
1281C22×C4—1582no—
1282C22×C4—1582no—
1283C22×C4—1582no—
1284C22×C4C23×D7911yescharacteristic
1285C22×C4C23×D7911yescharacteristic
1286C22×C4C23×D7911yescharacteristic
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—3161no—
1301C4⋊C4—3161no—
1302C4⋊C4—3161no—
1303C4⋊C4—3161no—
1304C4⋊C4—3161no—
1305C4⋊C4—3161no—
1306C4⋊C4—3161no—
1307C4⋊C4—3161no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—794no—
1315C4⋊C4—1582no—
1316C4⋊C4—1582no—
1317C4⋊C4—1582no—
1318C4⋊C4—1582no—
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—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—794no—
1368C22⋊C4—794no—
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—
1386C42—22no—
1387C42—41no—
1388C42—41no—
1389C42—3161no—
1390C42—3161no—
1391C42—1582no—
1392C42—1582no—
1393C42—1582no—
1394C42—1582no—
1395C42—1582no—
1396C42D4×D7914yes—
1397C23—21no—
1398C23—21no—
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—3164no—
1419C23—792no—
1420C23—792no—
1421C23—6322no—
1422C23—6322no—
1423C23—6322no—
1424C23—6322no—
1425C23—6322no—
1426C23—6322no—
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—
1446C23C24×D7911yescharacteristic
1447Q8—82no—
1448Q8—3164no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—3164no—
1453D4—3164no—
1454D4—3164no—
1455D4—3164no—
1456D4—6322no—
1457D4—6322no—
1458D4—6322no—
1459D4—6322no—
1460D4—6322no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
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—44no—
1495C2×C4—3164no—
1496C2×C4—3164no—
1497C2×C4—3164no—
1498C2×C4—3164no—
1499C2×C4—792no—
1500C2×C4—792no—
1501C2×C4—792no—
1502C2×C4—6322no—
1503C2×C4—6322no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4C2×D4×D7912yes—
1541C2×C4C2×D4×D7912yes—
1542C2×C4C2×D4×D7912yes—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
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—41no—
1562C22—41no—
1563C22—41no—
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—6328no—
1580C22—1582no—
1581C22—1582no—
1582C22—1582no—
1583C22—1582no—
1584C22—1582no—
1585C22—1582no—
1586C22C22×D4×D7911yescharacteristic
1587C22H(5,𝔽2)×D7911yescharacteristic
1588C22#1909939811yescharacteristic
1589C22#1909939911yescharacteristic
1590C22#1909939911yescharacteristic
1591C22#1909939911yescharacteristic
1592C22#1909939911yescharacteristic
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—3161no—
1606C4—3161no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—1582no—
1616C4—1582no—
1617C4—1582no—
1618C2—81no—
1619C2—81no—
1620C2—81no—
1621C2—3162no—
1622C2—3162no—
1623C2—6321no—
1624C2#2377672711yescharacteristic
1625C2#2377704211yescharacteristic
1626C2#2377706711yescharacteristic
1627C2#2377781511yescharacteristic
1628C2#2377798111yescharacteristic
1629C2#2377805411yescharacteristic
1630C2#2377809111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2610C2
hypercenter#2610D79
hypocenterC79#36973
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2610

Complements

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

NH ≅ G/Ntype
1. C2×#19099147C2semidirect
2. C2×#19099091C2semidirect
3. #23771727C2semidirect
4. #23771720C2semidirect
5. #23770359C2semidirect
6. #23770335C2semidirect
7. #23770135C2semidirect
8. #23770098C2semidirect
9. #23770068C2semidirect
10. #23770036C2semidirect
11. #23770010C2semidirect
12. #23769960C2semidirect
13. #23769850C2semidirect
14. #23769790C2semidirect
15. #23769763C2semidirect
16. #23769722C2semidirect
17. #23769680C2semidirect
18. #23769674C2semidirect
19. #23769644C2semidirect
20. #23769625C2semidirect
21. #23769288C2semidirect
22. #23769243C2semidirect
23. #23769038C2semidirect
24. #23768997C2semidirect
25. #23768984C2semidirect
26. #23768381C2semidirect
27. #23768288C2semidirect
28. #23767694C2semidirect
29. #23767672C2semidirect
30. #23766044C2semidirect
31. C79×#2610C2semidirect
33. C2×#14579159C22semidirect
38. C2×#14579154C22semidirect
39. C2×#14579151C22semidirect
48. C2×#14579143C22semidirect
49. C2×#14579143C22semidirect
50. C2×#14579139C22semidirect
59. C2×C4×Dic158C22semidirect
62. C2×C4×C22⋊D79C22semidirect
66. C2×C42×D79C22semidirect
67. #19098504C22semidirect
68. #19098503C22semidirect
71. #19098499C22semidirect
73. #19098497C22semidirect
74. #19098496C22semidirect
78. #19098492C22semidirect
86. #19098486C22semidirect
87. #19098486C22semidirect
88. #19098486C22semidirect
89. #19098486C22semidirect
91. #19098484C22semidirect
96. #19098479C22semidirect
97. #19098479C22semidirect
110. #19098471C22semidirect
111. #19098470C22semidirect
118. #19098461C22semidirect
119. #19098461C22semidirect
120. #19098461C22semidirect
121. #19098461C22semidirect
122. #19098460C22semidirect
123. #19098460C22semidirect
124. #19098458C22semidirect
125. #19098458C22semidirect
126. #19098458C22semidirect
128. #19098457C22semidirect
130. #19098456C22semidirect
139. #19098452C22semidirect
140. #19098452C22semidirect
143. #19098451C22semidirect
144. #19098451C22semidirect
145. #19098450C22semidirect
146. #19098449C22semidirect
147. #19098448C22semidirect
148. #19098448C22semidirect
149. #19098447C22semidirect
150. #19098445C22semidirect
151. #19098443C22semidirect
156. #19098439C22semidirect
158. #19098437C22semidirect
159. #19098436C22semidirect
160. #19098435C22semidirect
162. #19098434C22semidirect
165. #19098425C22semidirect
167. #19098422C22semidirect
168. #19098421C22semidirect
169. #19098421C22semidirect
173. C4×C4⋊Dic79C22semidirect
175. C2×#117×C79C22semidirect
176. #395×C79C22semidirect
178. #393×C79C22semidirect
181. #390×C79C22semidirect
184. #388×C79C22semidirect
185. #388×C79C22semidirect
187. #386×C79C22semidirect
188. #376×C79C22semidirect
232. C4×D316D4semidirect
838. #2610D79semidirect
847. C79#36973semidirect
882. C2×#117C2×D79semidirect
910. #395C2×D79semidirect
926. #393C2×D79semidirect
941. #390C2×D79semidirect
971. #388C2×D79semidirect
972. #388C2×D79semidirect
986. #386C2×D79semidirect
1004. #376C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991472
C2×#190990912
#237717272
#237717202
#237703592
#237703352
#237701352
#237700982
#237700682
#237700362
#237700102
#237699602
#237698502
#237697902
#237697632
#237697222
#237696802
#237696742
#237696442
#237696252
#237692882
#237692432
#237690382
#237689972
#237689842
#237683812
#237682882
#237676942
#237676722
#237660442
C79×#26102
#3697379