Finite Group Databasebeta

← #34502151

Subgroups — #34502151

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×#19099145C211yesmaximal, characteristic, complemented
2C2×#19099097C211yesmaximal, characteristic, complemented
3#23771722C211yesmaximal, characteristic, complemented
4#23770362C211yesmaximal, characteristic, complemented
5#23770340C211yesmaximal, characteristic, complemented
6#23770142C211yesmaximal, characteristic, complemented
7#23770106C211yesmaximal, characteristic, complemented
8#23770076C211yesmaximal, characteristic, complemented
9#23770044C211yesmaximal, characteristic, complemented
10#23770016C211yesmaximal, characteristic, complemented
11#23769964C211yesmaximal, characteristic, complemented
12#23769852C211yesmaximal, characteristic, complemented
13#23769792C211yesmaximal, characteristic, complemented
14#23769765C211yesmaximal, characteristic, complemented
15#23769719C211yesmaximal, characteristic, complemented
16#23769682C211yesmaximal, characteristic, complemented
17#23769681C211yesmaximal, characteristic, complemented
18#23769651C211yesmaximal, characteristic, complemented
19#23769623C211yesmaximal, characteristic, complemented
20#23769285C211yesmaximal, characteristic, complemented
21#23769241C211yesmaximal, characteristic, complemented
22#23769085C211yesmaximal, characteristic, complemented
23#23769035C211yesmaximal, characteristic, complemented
24#23769003C211yesmaximal, characteristic, complemented
25#23768985C211yesmaximal, characteristic, complemented
26#23768378C211yesmaximal, characteristic, complemented
27#23768294C211yesmaximal, characteristic, complemented
28#23767694C211yesmaximal, characteristic, complemented
29#23767672C211yesmaximal, characteristic, complemented
30#23766042C211yesmaximal, characteristic, complemented
31C79×#2854C211yesmaximal, characteristic, complemented
32#19099145—28no—
33C2×#14579160C2211yescharacteristic, complemented
34#19099097—28no—
35C2×#14579156C2211yescharacteristic
36C2×#14579155C2211yescharacteristic
37C2×#14579155C2211yescharacteristic, complemented
38C2×#14579154C2211yescharacteristic
39C2×#14579153C2211yescharacteristic, complemented
40C2×#14579149C2211yescharacteristic
41C2×#14579148C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579147C2211yescharacteristic
44C2×#14579146C2211yescharacteristic
45C2×#14579144C2211yescharacteristic
46C2×#14579144C2211yescharacteristic
47C2×#14579144C2211yescharacteristic, complemented
48C2×#14579142C2211yescharacteristic
49C2×#14579140C2211yescharacteristic, complemented
50C2×#14579139C2211yescharacteristic
51C2×#14579135C2211yescharacteristic
52C2×#14579133C2211yescharacteristic
53C2×#14579132C2211yescharacteristic
54C2×#14579131C2211yescharacteristic
55C2×#14579129C2211yescharacteristic
56C2×#14579129C2211yescharacteristic
57C2×C4×Dic158C2211yescharacteristic, complemented
58C2×C4×D316C2211yescharacteristic
59C2×C4×C22⋊D79C2211yescharacteristic
60C2×C4×C22⋊D79C2211yescharacteristic, complemented
61C2×(C22⋊D79)⋊C4C2211yescharacteristic
62C2×#14579118C2211yescharacteristic
63C2×#14579118C2211yescharacteristic, complemented
64C2×C22⋊C4×D79C2211yescharacteristic
65#19098504C2211yescharacteristic, complemented
66#19098501C2211yescharacteristic, complemented
67#19098499C2211yescharacteristic
68#19098499C2211yescharacteristic
69#19098498C2211yescharacteristic
70#19098498C2211yescharacteristic, complemented
71#19098497C2211yescharacteristic, complemented
72#19098493C2211yescharacteristic, complemented
73#19098492C2211yescharacteristic
74#19098492C2211yescharacteristic
75#19098491C2211yescharacteristic
76#19098490C2211yescharacteristic
77#19098489C2211yescharacteristic
78#19098488C2211yescharacteristic, complemented
79#19098487C2211yescharacteristic
80#19098486C2211yescharacteristic
81#19098486C2211yescharacteristic
82#19098486C2211yescharacteristic, complemented
83#19098486C2211yescharacteristic, complemented
84#19098485C2211yescharacteristic
85#19098485C2211yescharacteristic
86#19098485C2211yescharacteristic
87#19098485C2211yescharacteristic, complemented
88#19098485C2211yescharacteristic, complemented
89#19098483C2211yescharacteristic, complemented
90#19098483C2211yescharacteristic, complemented
91#19098481C2211yescharacteristic
92#19098480C2211yescharacteristic
93#19098480C2211yescharacteristic
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic, complemented
97#19098478C2211yescharacteristic
98#19098478C2211yescharacteristic
99#19098478C2211yescharacteristic
100#19098478C2211yescharacteristic
101#19098478C2211yescharacteristic
102#19098477C2211yescharacteristic
103#19098477C2211yescharacteristic
104#19098477C2211yescharacteristic, complemented
105#19098476C2211yescharacteristic, complemented
106#19098475C2211yescharacteristic
107#19098472C2211yescharacteristic
108#19098472C2211yescharacteristic
109#19098472C2211yescharacteristic
110#19098471C2211yescharacteristic
111#19098471C2211yescharacteristic
112#19098471C2211yescharacteristic, complemented
113#19098467C2211yescharacteristic, complemented
114#19098464C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098463C2211yescharacteristic
117#19098463C2211yescharacteristic
118#19098463C2211yescharacteristic
119#19098463C2211yescharacteristic, complemented
120#19098462C2211yescharacteristic, complemented
121#19098460C2211yescharacteristic, complemented
122#19098460C2211yescharacteristic, complemented
123#19098459C2211yescharacteristic, complemented
124#19098458C2211yescharacteristic, complemented
125#19098458C2211yescharacteristic, complemented
126#19098458C2211yescharacteristic, complemented
127#19098456C2211yescharacteristic
128#19098455C2211yescharacteristic
129#19098454C2211yescharacteristic
130#19098454C2211yescharacteristic
131#19098454C2211yescharacteristic
132#19098454C2211yescharacteristic
133#19098453C2211yescharacteristic
134#19098453C2211yescharacteristic
135#19098452C2211yescharacteristic
136#19098452C2211yescharacteristic, complemented
137#19098452C2211yescharacteristic, complemented
138#19098451C2211yescharacteristic
139#19098451C2211yescharacteristic
140#19098451C2211yescharacteristic
141#19098451C2211yescharacteristic, complemented
142#19098451C2211yescharacteristic, complemented
143#19098451C2211yescharacteristic, complemented
144#19098451C2211yescharacteristic, complemented
145#19098449C2211yescharacteristic, complemented
146#19098448C2211yescharacteristic, complemented
147#19098447C2211yescharacteristic, complemented
148#19098447C2211yescharacteristic, complemented
149#19098447C2211yescharacteristic, complemented
150#19098447C2211yescharacteristic, complemented
151#19098442C2211yescharacteristic
152#19098442C2211yescharacteristic
153#19098441C2211yescharacteristic
154#19098440C2211yescharacteristic, complemented
155#19098439C2211yescharacteristic
156#19098439C2211yescharacteristic, complemented
157#19098438C2211yescharacteristic, complemented
158#19098437C2211yescharacteristic
159#19098437C2211yescharacteristic, complemented
160#19098436C2211yescharacteristic, complemented
161#19098436C2211yescharacteristic, complemented
162#19098434C2211yescharacteristic
163#19098426C2211yescharacteristic, complemented
164#19098425C2211yescharacteristic
165#19098425C2211yescharacteristic
166#19098422C2211yescharacteristic
167#19098421C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172#19098414C2211yescharacteristic, complemented
173#19098408C2211yescharacteristic, complemented
174C2×#123×C79C2211yescharacteristic
175C2×#123×C79C2211yescharacteristic, complemented
176C2×#121×C79C2211yescharacteristic
177C22×C42×C79C2211yescharacteristic, complemented
178#390×C79C2211yescharacteristic
179#390×C79C2211yescharacteristic
180#389×C79C2211yescharacteristic, complemented
181#389×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic
183#388×C79C2211yescharacteristic
184#388×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#386×C79C2211yescharacteristic
187#386×C79C2211yescharacteristic, complemented
188#380×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205#14579160—42no—
206#14579156—24no—
207#14579155—24no—
208#14579155—24no—
209#14579154—24no—
210#14579153—24no—
211#14579149—24no—
212#14579148—24no—
213#14579147—24no—
214#14579147—42no—
215#14579146—42no—
216#14579144—24no—
217#14579144—24no—
218#14579144—24no—
219#14579142—24no—
220#14579140—24no—
221#14579139—24no—
222#14579135—24no—
223#14579133—24no—
224#14579132—24no—
225#14579131—42no—
226#14579129—24no—
227#14579129—24no—
228C4×Dic158—24no—
229C4×D316—24no—
230C4×C22⋊D79—24no—
231C4×C22⋊D79D418yescomplemented
232(C22⋊D79)⋊C4—24no—
233#14579118—24no—
234#14579118—24no—
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C22⋊C4×D79—24no—
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C22×D4×C79C2311yescharacteristic
341C22×D4×C79C2311yescharacteristic
342C22×D4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344C23×C4×C79C2311yescharacteristic
345C23×C4×C79C2311yescharacteristic
346#123×C79—42no—
347#123×C79—42no—
348#121×C79—24no—
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C4⋊C4×C79C2311yescharacteristic
352C2×C4⋊C4×C79C2311yescharacteristic
353C2×C4⋊C4×C79C2311yescharacteristic
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×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×C42×C79—24no—
369C2×C42×C79C2311yescharacteristic
370C2×C42×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
388C23×D79C2411yescharacteristic
389C2×Dic158—22no—
390C2×Dic158—22no—
391C2×Dic158—22no—
392C2×Dic158—41no—
393C2×Dic158—41no—
394C2×Dic158—41no—
395C2×D316—22no—
396C2×D316—22no—
397C2×D316—41no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
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—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C2×C22⋊D79C2×D414yes—
422C22×Dic79—22no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C2×C4×D79—22no—
439C2×C4×D79—22no—
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×D79C2×D414yes—
447C4⋊Dic79—22no—
448C4⋊Dic79—22no—
449C4⋊Dic79—22no—
450C4⋊Dic79—41no—
451C4⋊Dic79—41no—
452C4⋊Dic79—41no—
453Dic79⋊C4—22no—
454Dic79⋊C4—22no—
455Dic79⋊C4—22no—
456Dic79⋊C4—22no—
457Dic79⋊C4—22no—
458Dic79⋊C4—22no—
459Dic79⋊C4—22no—
460Dic79⋊C4—22no—
461Dic79⋊C4—22no—
462Dic79⋊C4—22no—
463Dic79⋊C4—22no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4C2×D414yes—
474C22⋊Dic79—22no—
475C22⋊Dic79—22no—
476C22⋊Dic79—22no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79C2×D414yes—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4C2×D414yes—
518C4×Dic79—22no—
519C4×Dic79—22no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C4×Dic79—41no—
523C4×Dic79—41no—
524C4×Dic79C2×D414yes—
525C24×C79C2411yescharacteristic
526C24×C79C2411yescharacteristic
527C24×C79C2411yescharacteristic
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—
537C22×C4×C79—22no—
538C22×C4×C79—22no—
539C22×C4×C79—22no—
540C22×C4×C79—41no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79—41no—
545C22×C4×C79C2×D414yes—
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C4⋊C4×C79—22no—
559C4⋊C4×C79—22no—
560C4⋊C4×C79—22no—
561C4⋊C4×C79—41no—
562C4⋊C4×C79—41no—
563C4⋊C4×C79—41no—
564C4⋊C4×C79—41no—
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—22no—
579C42×C79—22no—
580C42×C79—22no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79C22×D412yes—
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—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—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—44no—
668C2×C4×C79—44no—
669C2×C4×C79—44no—
670C2×C4×C79C22×D412yes—
671C2×C4×C79C22×D412yes—
672C2×C4×C79H(5,𝔽2)12yes—
673C22⋊D79—44no—
674C22⋊D79—44no—
675C22⋊D79—44no—
676C22⋊D79—82no—
677C22⋊D79—82no—
678C22⋊D79—82no—
679C22⋊D79—82no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—82no—
717C2×Dic79C22×D412yes—
718C2×Dic79C22×D412yes—
719C2×Dic79C22×D412yes—
720D316—44no—
721D316—82no—
722C4×D79—44no—
723C4×D79—44no—
724C4×D79—82no—
725Dic158—44no—
726Dic158—82no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
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—41no—
759C2×D79—41no—
760C2×D79—41no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—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—42no—
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—81no—
815D79—81no—
816C2×#538—791no—
817C2×#529—791no—
818#2854D7911yescharacteristic, complemented
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#2610—791no—
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×#124—791no—
860C2×#123—791no—
861C2×#123—791no—
862C2×#123—791no—
863C2×#123—791no—
864C2×#123—791no—
865C2×#123C2×D7911yescharacteristic
866C2×#123C2×D7911yescharacteristic, complemented
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×#121—791no—
870C2×#121—791no—
871C2×#121—791no—
872C2×#121C2×D7911yescharacteristic
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×#117—791no—
883C22×C22⋊C4—791no—
884C22×C42C2×D7911yescharacteristic, complemented
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#395—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394—791no—
925#393—791no—
926#393—791no—
927#392—791no—
928#392—791no—
929#392—791no—
930#392—791no—
931#392—791no—
932#392—791no—
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
942#389—791no—
943#389—791no—
944#389—791no—
945#389—791no—
946#389—791no—
947#389—791no—
948#389—791no—
949#389C2×D7911yescharacteristic, complemented
950#389C2×D7911yescharacteristic, complemented
951#388—791no—
952#388—791no—
953#388—791no—
954#388—791no—
955#388—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388C2×D7911yescharacteristic
970#388C2×D7911yescharacteristic
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#380C2×D7911yescharacteristic, complemented
1000#379—791no—
1001#379—791no—
1002#379—791no—
1003C4×C4⋊C4—791no—
1004#376—791no—
1005C25—791no—
1006C22×Q8—791no—
1007C22×Q8—791no—
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×C4C22×D7911yescharacteristic
1025C23×C4C22×D7911yescharacteristic
1026C23×C4C22×D7911yescharacteristic
1027C4⋊Q8—3162no—
1028#126—1584no—
1029#126—1584no—
1030#126—1584no—
1031#126—1584no—
1032#125—1584no—
1033#124—3162no—
1034#124—1584no—
1035#124—1584no—
1036#124—1584no—
1037#123—42no—
1038#123—42no—
1039#123—3162no—
1040#123—1584no—
1041#123—1584no—
1042#123—1584no—
1043#123—1584no—
1044C22⋊Q8—1584no—
1045C22⋊Q8—1584no—
1046#121—24no—
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—1584no—
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⋊C4C22×D7911yescharacteristic
1088C2×C4⋊C4C22×D7911yescharacteristic
1089C2×C4⋊C4C22×D7911yescharacteristic
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—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—1584no—
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—24no—
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
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#95—791no—
1188#95—791no—
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—3161no—
1209C2×Q8—3161no—
1210C2×Q8—3161no—
1211C2×Q8—1582no—
1212C2×Q8—1582no—
1213C2×Q8—1582no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
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—3161no—
1242C2×D4—3161no—
1243C2×D4—794no—
1244C2×D4—1582no—
1245C2×D4—1582no—
1246C2×D4—1582no—
1247C2×D4—1582no—
1248C2×D4—1582no—
1249C2×D4—1582no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—794no—
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—791no—
1280C22×C4—1582no—
1281C22×C4—1582no—
1282C22×C4—1582no—
1283C22×C4D4×D7914yes—
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—22no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
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—3161no—
1315C4⋊C4—794no—
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—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—3161no—
1343C22⋊C4—3161no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—794no—
1366C22⋊C4—794no—
1367C22⋊C4—1582no—
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—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—3161no—
1391C42—3161no—
1392C42—3161no—
1393C42—3161no—
1394C42—794no—
1395C42—1582no—
1396C42—1582no—
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—3164no—
1418C23—792no—
1419C23—6322no—
1420C23—6322no—
1421C23—6322no—
1422C23—6322no—
1423C23—6322no—
1424C23—6322no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23C2×D4×D7912yes—
1446C23C24×D7911yescharacteristic
1447Q8—3164no—
1448Q8—6322no—
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—44no—
1496C2×C4—44no—
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×C4#1457920612yes—
1543C22—22no—
1544C22—22no—
1545C22—22no—
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—3161no—
1580C22—3161no—
1581C22—3161no—
1582C22—6328no—
1583C22—1582no—
1584C22—1582no—
1585C22—1582no—
1586C22C22×D4×D7911yescharacteristic
1587C22C2×#1457920611yescharacteristic
1588C22#1909939911yescharacteristic
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—42no—
1619C2—81no—
1620C2—81no—
1621C2—3162no—
1622C2—6321no—
1623C2—6321no—
1624C2#2377673011yescharacteristic
1625C2#2377703811yescharacteristic
1626C2#2377706511yescharacteristic
1627C2#2377782711yescharacteristic
1628C2#2377799211yescharacteristic
1629C2#2377807611yescharacteristic
1630C2#2377809611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2854C2
hypercenter#2854D79
hypocenterC79#36973
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2854

Complements

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

NH ≅ G/Ntype
1. C2×#19099145C2semidirect
2. C2×#19099097C2semidirect
3. #23771722C2semidirect
4. #23770362C2semidirect
5. #23770340C2semidirect
6. #23770142C2semidirect
7. #23770106C2semidirect
8. #23770076C2semidirect
9. #23770044C2semidirect
10. #23770016C2semidirect
11. #23769964C2semidirect
12. #23769852C2semidirect
13. #23769792C2semidirect
14. #23769765C2semidirect
15. #23769719C2semidirect
16. #23769682C2semidirect
17. #23769681C2semidirect
18. #23769651C2semidirect
19. #23769623C2semidirect
20. #23769285C2semidirect
21. #23769241C2semidirect
22. #23769085C2semidirect
23. #23769035C2semidirect
24. #23769003C2semidirect
25. #23768985C2semidirect
26. #23768378C2semidirect
27. #23768294C2semidirect
28. #23767694C2semidirect
29. #23767672C2semidirect
30. #23766042C2semidirect
31. C79×#2854C2semidirect
33. C2×#14579160C22semidirect
37. C2×#14579155C22semidirect
39. C2×#14579153C22semidirect
47. C2×#14579144C22semidirect
49. C2×#14579140C22semidirect
57. C2×C4×Dic158C22semidirect
60. C2×C4×C22⋊D79C22semidirect
63. C2×#14579118C22semidirect
65. #19098504C22semidirect
66. #19098501C22semidirect
70. #19098498C22semidirect
71. #19098497C22semidirect
72. #19098493C22semidirect
78. #19098488C22semidirect
82. #19098486C22semidirect
83. #19098486C22semidirect
87. #19098485C22semidirect
88. #19098485C22semidirect
89. #19098483C22semidirect
90. #19098483C22semidirect
96. #19098479C22semidirect
104. #19098477C22semidirect
105. #19098476C22semidirect
112. #19098471C22semidirect
113. #19098467C22semidirect
119. #19098463C22semidirect
120. #19098462C22semidirect
121. #19098460C22semidirect
122. #19098460C22semidirect
123. #19098459C22semidirect
124. #19098458C22semidirect
125. #19098458C22semidirect
126. #19098458C22semidirect
136. #19098452C22semidirect
137. #19098452C22semidirect
141. #19098451C22semidirect
142. #19098451C22semidirect
143. #19098451C22semidirect
144. #19098451C22semidirect
145. #19098449C22semidirect
146. #19098448C22semidirect
147. #19098447C22semidirect
148. #19098447C22semidirect
149. #19098447C22semidirect
150. #19098447C22semidirect
154. #19098440C22semidirect
156. #19098439C22semidirect
157. #19098438C22semidirect
159. #19098437C22semidirect
160. #19098436C22semidirect
161. #19098436C22semidirect
163. #19098426C22semidirect
167. #19098421C22semidirect
168. #19098421C22semidirect
172. #19098414C22semidirect
173. #19098408C22semidirect
175. C2×#123×C79C22semidirect
177. C22×C42×C79C22semidirect
180. #389×C79C22semidirect
181. #389×C79C22semidirect
184. #388×C79C22semidirect
185. #388×C79C22semidirect
187. #386×C79C22semidirect
188. #380×C79C22semidirect
231. C4×C22⋊D79D4semidirect
818. #2854D79semidirect
847. C79#36973semidirect
866. C2×#123C2×D79semidirect
884. C22×C42C2×D79semidirect
949. #389C2×D79semidirect
950. #389C2×D79semidirect
971. #388C2×D79semidirect
972. #388C2×D79semidirect
986. #386C2×D79semidirect
999. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991452
C2×#190990972
#237717222
#237703622
#237703402
#237701422
#237701062
#237700762
#237700442
#237700162
#237699642
#237698522
#237697922
#237697652
#237697192
#237696822
#237696812
#237696512
#237696232
#237692852
#237692412
#237690852
#237690352
#237690032
#237689852
#237683782
#237682942
#237676942
#237676722
#237660422
C79×#28542
#3697379