Finite Group Databasebeta

← #17979155

Subgroups — #17979155

Order 4352.

3584 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763878C211yesmaximal, characteristic, complemented
2C22×D4×#595C211yesmaximal, characteristic, complemented
3#14545315C211yesmaximal, characteristic, complemented
4#14545309C212yesmaximal, complemented
5#14545309C211yesmaximal, characteristic, complemented
6#14545308C211yesmaximal, characteristic, complemented
7#14545307C212yesmaximal, complemented
8#14545306C212yesmaximal, complemented
9D4×C4⋊#595C211yesmaximal, characteristic, complemented
10D4×C4⋊#595C211yesmaximal, characteristic, complemented
11#14545290C212yesmaximal, complemented
12#14545287C211yesmaximal, characteristic, complemented
13D4×C22⋊#595C211yesmaximal, characteristic, complemented
14#14545274C211yesmaximal, characteristic, complemented
15#14545273C212yesmaximal, complemented
16#14545272C211yesmaximal, characteristic, complemented
17#14545270C212yesmaximal, complemented
18C22⋊Q8×#595C211yesmaximal, characteristic, complemented
19#120×#595C212yesmaximal, complemented
20#14545238C211yesmaximal, characteristic, complemented
21C2×#11763756C212yesmaximal, complemented
22#14545223C211yesmaximal, characteristic, complemented
23D17×#546C211yesmaximal, characteristic
24C24×#595C2212yes—
25#11763878—28no—
26C2×Q8×#595C2211yescharacteristic, complemented
27C2×Q8×#595C2211yescharacteristic, complemented
28C2×D4×#595—28no—
29C2×D4×#595C2211yescharacteristic
30C2×D4×#595C2212yes—
31C2×D4×#595C2211yescharacteristic
32C2×D4×#595C2211yescharacteristic
33C2×D4×#595C2212yes—
34C2×D4×#595C2211yescharacteristic
35C2×D4×#595C2211yescharacteristic
36C2×D4×#595C2212yes—
37C2×D4×#595C2211yescharacteristic
38C2×D4×#595C2212yescomplemented
39C2×D4×#595C2212yescomplemented
40C2×D4×#595C2212yescomplemented
41C2×#10587677C2211yescharacteristic, complemented
42C2×#10587677C2212yescomplemented
43C22×C4⋊#595C2211yescharacteristic
44C22×C4⋊#595C2212yescomplemented
45C22×C4⋊#595C2211yescharacteristic, complemented
46C22×C4⋊#595C2212yescomplemented
47C22×C22⋊#595C2212yes—
48C22×C22⋊#595C2212yes—
49C22×C4×#595C2211yescharacteristic
50(C2×#595)⋊Q8C2211yescharacteristic, complemented
51(C2×#595)⋊Q8C2211yescharacteristic, complemented
52#11763761C2211yescharacteristic
53#11763761C2211yescharacteristic
54#11763761C2212yescomplemented
55#11763760C2211yescharacteristic, complemented
56#11763760C2212yescomplemented
57#11763760C2212yescomplemented
58#11763760C2211yescharacteristic, complemented
59#11763759C2211yescharacteristic, complemented
60#11763759C2211yescharacteristic, complemented
61#11763759C2212yescomplemented
62#11763759C2212yescomplemented
63#11763759C2212yescomplemented
64#11763759C2212yescomplemented
65#11763759C2212yescomplemented
66#11763759C2212yescomplemented
67#11763758C2211yescharacteristic, complemented
68#11763758C2211yescharacteristic, complemented
69#11763758C2212yescomplemented
70#11763758C2212yescomplemented
71#11763757C2211yescharacteristic
72#11763757C2211yescharacteristic
73#11763757C2212yes—
74#11763757C2212yes—
75#11763757C2212yescomplemented
76#11763757C2212yescomplemented
77#11763757C2212yescomplemented
78#11763757C2212yescomplemented
79#11763756C2211yescharacteristic
80#11763756C2212yes—
81#11763756C2212yes—
82#11763756C2212yes—
83#11763756C2211yescharacteristic
84#11763756C2212yescomplemented
85#11763756C2212yescomplemented
86#11763756C2212yescomplemented
87#11763756C2212yescomplemented
88#11763756C2212yescomplemented
89#11763756C2212yescomplemented
90#11763756C2212yescomplemented
91#11763756C2212yescomplemented
92#11763755C2211yescharacteristic, complemented
93#11763752C2212yescomplemented
94#11763751C2211yescharacteristic
95#11763751C2211yescharacteristic, complemented
96#11763751C2212yescomplemented
97#11763750C2212yes—
98C4⋊C4×#595C2211yescharacteristic, complemented
99C4⋊C4×#595C2211yescharacteristic, complemented
100C4⋊C4×#595C2212yescomplemented
101C4×C4⋊#595C2211yescharacteristic, complemented
102C4×C4⋊#595C2211yescharacteristic, complemented
103C22⋊C4×#595C2212yes—
104C22⋊C4×#595C2212yes—
105C22⋊C4×#595C2212yescomplemented
106C22⋊C4×#595C2212yescomplemented
107C22⋊C4×#595C2212yescomplemented
108C4×C22⋊#595C2211yescharacteristic
109C4×C22⋊#595C2212yescomplemented
110C4×C22⋊#595C2211yescharacteristic, complemented
111#11763745C2211yescharacteristic, complemented
112C2×(C2×#595)⋊C4C2212yescomplemented
113C2×(C2×#595)⋊C4C2212yescomplemented
114C2×#41×D17C2211yescharacteristic
115C22×D4×D17C2211yescharacteristic
116#11763456C411yescharacteristic, complemented
117#11763455C411yescharacteristic, complemented
118#11763454C411yescharacteristic, complemented
119#11763453C411yescharacteristic, complemented
120#11763452C411yescharacteristic, complemented
121#11763451C412yescomplemented
122#11763450C411yescharacteristic, complemented
123#11763449C412yescomplemented
124#11763448C412yescomplemented
125#11763447C411yescharacteristic, complemented
126#11763446C412yescomplemented
127#124×D17C2211yescharacteristic
128#123×D17C2212yes—
129C22⋊Q8×D17C2211yescharacteristic
130#121×D17C2211yescharacteristic
131#121×D17C2212yes—
132#120×D17C2212yes—
133C4×D4×D17C2211yescharacteristic
134C4×D4×D17C2211yescharacteristic
135C2×C22⋊C4×D17C2212yes—
136C17×#546C411yescharacteristic, complemented
137C24×D17C2312yes—
138C23×#595—28no—
139C23×#595—44no—
140C23×#595—44no—
141C23×#595C2311yescharacteristic
142C23×#595C2312yes—
143C23×#595C2311yescharacteristic
144C23×#595C2312yes—
145C23×#595C2312yes—
146C23×#595C2312yes—
147C23×#595C2312yes—
148C23×#595C2312yes—
149C23×#595C2312yes—
150C23×#595C2312yes—
151C2×#41×C17C2×C411yescharacteristic, complemented
152C22×D4×C17C2×C411yescharacteristic, complemented
153C22×C22⋊D17C2×C412yescomplemented
154#41×D17—24no—
155#41×D17—24no—
156C2×#63256C2×C411yescharacteristic, complemented
157C2×Q8×D17C2311yescharacteristic
158C2×#63254C2×C412yescomplemented
159C2×#63254C2×C411yescharacteristic, complemented
160C2×D4×D17—24no—
161C2×D4×D17—24no—
162C2×D4×D17C2×C411yescharacteristic, complemented
163C2×D4×D17C2×C411yescharacteristic, complemented
164C2×D4×D17C2×C412yescomplemented
165C2×D4×D17C2311yescharacteristic
166C2×D4×D17C2312yes—
167C2×D4×D17C2311yescharacteristic
168C2×D4×D17C2311yescharacteristic
169C2×D4×D17C2312yes—
170C2×D4×D17C2312yes—
171C2×#63252C2×C411yescharacteristic, complemented
172C2×#63252C2×C412yescomplemented
173C22×D68C2×C411yescharacteristic, complemented
174C22×C4×D17C2311yescharacteristic
175C22×C4×D17C2312yes—
176C22×C4×D17C2311yescharacteristic
177C22×C4×D17C2312yes—
178C2×C22⋊#595—28no—
179C2×C22⋊#595—44no—
180C2×C22⋊#595C2311yescharacteristic
181C2×C22⋊#595C2311yescharacteristic
182C2×C22⋊#595C2312yes—
183C2×C22⋊#595C2311yescharacteristic
184C2×C22⋊#595C2312yes—
185C2×C22⋊#595C2312yes—
186C2×C22⋊#595C2312yes—
187C2×C22⋊#595C2311yescharacteristic
188C2×C22⋊#595C2311yescharacteristic
189C2×C22⋊#595C2312yes—
190C2×C22⋊#595C2312yes—
191C2×C22⋊#595C2311yescharacteristic
192C2×C22⋊#595C2312yes—
193C2×C22⋊#595C2312yes—
194C2×C22⋊#595C2312yes—
195C2×C22⋊#595C2312yes—
196C2×C22⋊#595C2312yes—
197C2×C22⋊#595C2312yes—
198Q8×#595—24no—
199Q8×#595—24no—
200D4×#595—28no—
201D4×#595—28no—
202D4×#595—24no—
203D4×#595—24no—
204D4×#595—24no—
205D4×#595—28no—
206D4×#595—28no—
207D4×#595—24no—
208D4×#595—24no—
209D4×#595—44no—
210D4×#595—44no—
211D4×#595D418yescomplemented
212#10587677—28no—
213#10587677—24no—
214C2×C4⋊#595—28no—
215C2×C4⋊#595—24no—
216C2×C4⋊#595—24no—
217C2×C4⋊#595—44no—
218C2×C4⋊#595C2311yescharacteristic
219C2×C4⋊#595C2311yescharacteristic
220C2×C4⋊#595C2312yes—
221C2×C4⋊#595C2311yescharacteristic
222C2×C4⋊#595C2311yescharacteristic
223C2×C4⋊#595C2311yescharacteristic
224C2×C4⋊#595C2312yes—
225C2×C4⋊#595C2312yes—
226C2×C4⋊#595C2312yes—
227C2×C4⋊#595C2311yescharacteristic
228C2×C4⋊#595C2312yes—
229C2×C4⋊#595C2311yescharacteristic
230C2×C4⋊#595C2312yes—
231C2×C4⋊#595C2312yes—
232C2×C4⋊#595C2312yes—
233C2×C4⋊#595C2311yescharacteristic
234C2×C4×#595—24no—
235C2×C4×#595C2311yescharacteristic
236C2×C4×#595C2311yescharacteristic
237C2×C4×#595C2311yescharacteristic
238C2×C4×#595C2312yes—
239C2×C4×#595C2312yes—
240C2×C4×#595C2311yescharacteristic
241C2×C4×#595C2311yescharacteristic
242C2×C4×#595C2312yes—
243C2×C4×#595C2312yes—
244C2×C4×#595C2312yes—
245C2×C4×#595C2311yescharacteristic
246C17×#124C2×C411yescharacteristic, complemented
247C17×#123C2×C412yescomplemented
248C17×C22⋊Q8C2×C411yescharacteristic, complemented
249C17×#121C2×C411yescharacteristic, complemented
250C17×#121C2×C412yescomplemented
251C17×#120C2×C412yescomplemented
252C4×D4×C17C2×C411yescharacteristic, complemented
253C4×D4×C17C2×C411yescharacteristic, complemented
254C2×C22⋊C4×C17C2×C412yescomplemented
255#10587639C2×C412yescomplemented
256C2×C22⋊Dic17C2×C412yescomplemented
257#10587633C2×C411yescharacteristic, complemented
258#10587632C2×C411yescharacteristic, complemented
259#10587625C2×C412yescomplemented
260#10587625C2×C412yescomplemented
261#10587625C2×C412yescomplemented
262#10587624C2×C412yescomplemented
263#10587624C2×C411yescharacteristic, complemented
264#10587623C2×C412yescomplemented
265#10587623C2×C412yescomplemented
266#10587623C2×C412yescomplemented
267#10587622C2×C411yescharacteristic, complemented
268#10587621C2×C412yescomplemented
269D4×Dic17C2×C411yescharacteristic, complemented
270D4×Dic17C2×C411yescharacteristic, complemented
271#10587616C2×C411yescharacteristic, complemented
272#10587616C2×C412yescomplemented
273#10587615C2×C412yescomplemented
274C4×C22⋊D17C2×C411yescharacteristic, complemented
275C4×C22⋊D17C2×C411yescharacteristic, complemented
276C4×C22⋊D17C2×C412yescomplemented
277C2×#63227C2×C412yescomplemented
278C2×#63227C2×C412yescomplemented
279#10587610C2×C411yescharacteristic, complemented
280#10587583C2×C411yescharacteristic, complemented
281#10587582C2×C412yescomplemented
282#10587581C2×C412yescomplemented
283#10587581C2×C411yescharacteristic, complemented
284#10587580C2×C412yescomplemented
285#10587580C2×C412yescomplemented
286#10587579C2×C411yescharacteristic, complemented
287#10587579C2×C411yescharacteristic, complemented
288C4⋊C4×D17C2311yescharacteristic
289C4⋊C4×D17C2312yes—
290C4⋊C4×D17C2311yescharacteristic
291#10587572C2×C412yescomplemented
292#10587571C2×C412yescomplemented
293#10587571C2×C412yescomplemented
294#10587570C2×C412yescomplemented
295#10587570C2×C412yescomplemented
296#10587570C2×C412yescomplemented
297#10587569C2×C412yescomplemented
298#10587569C2×C412yescomplemented
299#10587568C2×C412yescomplemented
300#10587568C2×C412yescomplemented
301#10587568C2×C412yescomplemented
302#10587567C2×C411yescharacteristic, complemented
303#10587567C2×C411yescharacteristic, complemented
304#10587567C2×C412yescomplemented
305C22⋊C4×D17C2×C412yescomplemented
306C22⋊C4×D17C2×C412yescomplemented
307C22⋊C4×D17C2×C412yescomplemented
308C22⋊C4×D17C2×C412yescomplemented
309C22⋊C4×D17C2312yes—
310C22⋊C4×D17C2311yescharacteristic
311C22⋊C4×D17C2312yes—
312C22⋊C4×D17C2312yes—
313C22⋊C4×D17C2312yes—
314C22⋊C4×D17C2312yes—
315C22⋊C4×D17C2311yescharacteristic
316#10587564C2×C412yescomplemented
317#10587561C2×C411yescharacteristic, complemented
318C4×D68C2×C411yescharacteristic, complemented
319C4×D68C2×C411yescharacteristic, complemented
320C42×D17C2311yescharacteristic
321(C2×#595)⋊C4C2311yescharacteristic
322(C2×#595)⋊C4C2311yescharacteristic
323(C2×#595)⋊C4C2312yes—
324(C2×#595)⋊C4C2312yes—
325(C2×#595)⋊C4C2312yes—
326(C2×#595)⋊C4C2312yes—
327(C2×#595)⋊C4C2312yes—
328(C2×#595)⋊C4C2312yes—
329(C2×#595)⋊C4C2311yescharacteristic
330(C2×#595)⋊C4C2311yescharacteristic
331(C2×#595)⋊C4C2311yescharacteristic
332(C2×#595)⋊C4C2311yescharacteristic
333(C2×#595)⋊C4C2311yescharacteristic
334(C2×#595)⋊C4C2311yescharacteristic
335(C2×#595)⋊C4C2312yes—
336(C2×#595)⋊C4C2312yes—
337(C2×#595)⋊C4C2312yes—
338(C2×#595)⋊C4C2312yes—
339(C2×#595)⋊C4C2311yescharacteristic
340(C2×#595)⋊C4C2311yescharacteristic
341(C2×#595)⋊C4C2312yes—
342C24×C17C22×C412yes—
343C23×D17—24no—
344C23×D17—24no—
345C23×D17—24no—
346C23×D17—24no—
347C23×D17—42no—
348C23×D17—42no—
349C23×D17C22×C412yes—
350C23×D17C22×C412yes—
351C23×D17C22×C412yes—
352C23×D17C2411yescharacteristic
353C23×D17C2412yes—
354C23×D17C2412yes—
355C23×D17C2411yescharacteristic
356C22×#595—22no—
357C22×#595—22no—
358C22×#595—22no—
359C22×#595—24no—
360C22×#595—24no—
361C22×#595—22no—
362C22×#595—24no—
363C22×#595—24no—
364C22×#595—22no—
365C22×#595—24no—
366C22×#595—24no—
367C22×#595—24no—
368C22×#595—24no—
369C22×#595—24no—
370C22×#595—24no—
371C22×#595—42no—
372C22×#595—42no—
373C22×#595—42no—
374C22×#595—42no—
375C22×#595—42no—
376C22×#595—42no—
377C22×#595—42no—
378C22×#595—41no—
379C22×#595—42no—
380C22×#595—42no—
381C22×#595—42no—
382C22×#595—42no—
383C22×#595—42no—
384C22×#595—42no—
385C22×#595—432no—
386C22×#595C2×D418yes—
387C22×#595C2411yescharacteristic
388C22×#595C2411yescharacteristic
389C22×#595C2411yescharacteristic
390C22×#595C2412yes—
391C22×#595C2411yescharacteristic
392C22×#595C2412yes—
393C22×#595C2411yescharacteristic
394C22×#595C2412yes—
395C22×#595C2411yescharacteristic
396C22×#595C2412yes—
397C22×#595C2411yescharacteristic
398C22×#595C2411yescharacteristic
399#41×C17—24no—
400C2×Q8×C17C22×C411yescharacteristic, complemented
401C2×D4×C17—24no—
402C2×D4×C17C22×C412yes—
403C2×D4×C17C22×C411yescharacteristic
404C2×D4×C17C22×C411yescharacteristic
405C2×D4×C17C22×C411yescharacteristic
406C2×D4×C17C22×C412yescomplemented
407C2×D4×C17C22×C412yescomplemented
408C22×C4×C17C22×C411yescharacteristic
409C22×C4×C17C22×C412yescomplemented
410C22×C4×C17C22×C411yescharacteristic, complemented
411C22×C4×C17C22×C412yescomplemented
412C2×C22⋊D17—28no—
413C2×C22⋊D17C22×C412yes—
414C2×C22⋊D17C22×C412yes—
415C2×C22⋊D17C22×C412yes—
416C2×C22⋊D17C22×C411yescharacteristic
417C2×C22⋊D17C22×C411yescharacteristic
418C2×C22⋊D17C22×C412yes—
419C2×C22⋊D17C22×C412yescomplemented
420C2×C22⋊D17C22×C412yescomplemented
421C2×C22⋊D17C22×C412yescomplemented
422C2×C22⋊D17C22×C412yescomplemented
423C22×Dic17C22×C411yescharacteristic
424C22×Dic17C22×C411yescharacteristic, complemented
425C22×Dic17C22×C412yescomplemented
426C22×Dic17C22×C412yescomplemented
427#63256—24no—
428Q8×D17—22no—
429Q8×D17—22no—
430#63254—24no—
431#63254—28no—
432D4×D17—24no—
433D4×D17—24no—
434D4×D17—24no—
435D4×D17—24no—
436D4×D17—22no—
437D4×D17—22no—
438D4×D17—24no—
439D4×D17—28no—
440D4×D17—24no—
441D4×D17—22no—
442D4×D17—22no—
443D4×D17—42no—
444D4×D17—42no—
445D4×D17C2×D414yes—
446D4×D17#4114yes—
447#63252—28no—
448#63252—24no—
449C2×D68—24no—
450C2×D68C22×C411yescharacteristic
451C2×D68C22×C412yes—
452C2×D68C22×C411yescharacteristic
453C2×D68C22×C411yescharacteristic
454C2×D68C22×C412yescomplemented
455C2×D68C22×C412yescomplemented
456C2×C4×D17—24no—
457C2×C4×D17—24no—
458C2×C4×D17—22no—
459C2×C4×D17—22no—
460C2×C4×D17—22no—
461C2×C4×D17—22no—
462C2×C4×D17—42no—
463C2×C4×D17—42no—
464C2×C4×D17C22×C411yescharacteristic
465C2×C4×D17C22×C411yescharacteristic
466C2×C4×D17C22×C412yescomplemented
467C2×C4×D17C22×C411yescharacteristic, complemented
468C2×C4×D17C22×C411yescharacteristic, complemented
469C2×C4×D17C22×C412yescomplemented
470C2×C4×D17C22×C412yescomplemented
471C2×C4×D17C22×C412yescomplemented
472C2×C4×D17C2411yescharacteristic
473C2×C4×D17C2412yes—
474C2×C4×D17C2412yes—
475C2×C4×D17C2411yescharacteristic
476C2×C4×D17C2411yescharacteristic
477C2×C4×D17C2411yescharacteristic
478C2×C4×D17C2411yescharacteristic
479C2×Dic34C22×C411yescharacteristic, complemented
480C2×Dic34C22×C412yescomplemented
481C22⋊#595—24no—
482C22⋊#595—24no—
483C22⋊#595—24no—
484C22⋊#595—24no—
485C22⋊#595—22no—
486C22⋊#595—22no—
487C22⋊#595—22no—
488C22⋊#595—22no—
489C22⋊#595—24no—
490C22⋊#595—24no—
491C22⋊#595—22no—
492C22⋊#595—42no—
493C22⋊#595—42no—
494C22⋊#595—42no—
495C22⋊#595—42no—
496C22⋊#595—42no—
497C22⋊#595—41no—
498C22⋊#595C2×D418yes—
499C4⋊#595—22no—
500C4⋊#595—24no—
501C4⋊#595—24no—
502C4⋊#595—24no—
503C4⋊#595—24no—
504C4⋊#595—22no—
505C4⋊#595—22no—
506C4⋊#595—24no—
507C4⋊#595—22no—
508C4⋊#595—22no—
509C4⋊#595—22no—
510C4⋊#595—42no—
511C4⋊#595—42no—
512C4⋊#595—41no—
513C4⋊#595—42no—
514C4⋊#595C2×D414yes—
515C4×#595—22no—
516C4×#595—22no—
517C4×#595—24no—
518C4×#595—24no—
519C4×#595—22no—
520C4×#595—22no—
521C4×#595—22no—
522C4×#595—42no—
523C4×#595—42no—
524C4×#595—42no—
525C4×#595C2×D414yes—
526C4⋊C4×C17C22×C412yescomplemented
527C4⋊C4×C17C22×C411yescharacteristic, complemented
528C4⋊C4×C17C22×C411yescharacteristic, complemented
529C22⋊C4×C17C22×C412yes—
530C22⋊C4×C17C22×C411yescharacteristic
531C22⋊C4×C17C22×C412yescomplemented
532C22⋊C4×C17C22×C412yescomplemented
533C22⋊C4×C17C22×C412yescomplemented
534C22⋊C4×C17C22×C412yescomplemented
535C22⋊C4×C17C22×C411yescharacteristic, complemented
536C42×C17C22×C411yescharacteristic, complemented
537C22⋊Dic17C22×C412yes—
538C22⋊Dic17C22×C411yescharacteristic
539C22⋊Dic17C22×C412yescomplemented
540C22⋊Dic17C22×C412yescomplemented
541C22⋊Dic17C22×C412yescomplemented
542C22⋊Dic17C22×C412yescomplemented
543C22⋊Dic17C22×C411yescharacteristic, complemented
544#63227C22×C411yescharacteristic
545#63227C22×C411yescharacteristic
546#63227C22×C412yes—
547#63227C22×C412yes—
548#63227C22×C412yescomplemented
549#63227C22×C411yescharacteristic, complemented
550#63227C22×C412yescomplemented
551#63227C22×C412yescomplemented
552#63227C22×C412yescomplemented
553#63227C22×C412yescomplemented
554#63227C22×C412yescomplemented
555#63227C22×C412yescomplemented
556#63227C22×C412yescomplemented
557#63227C22×C411yescharacteristic, complemented
558C4⋊Dic17C22×C411yescharacteristic, complemented
559C4⋊Dic17C22×C411yescharacteristic, complemented
560C4⋊Dic17C22×C412yescomplemented
561#63225C22×C412yescomplemented
562#63225C22×C412yescomplemented
563#63225C22×C411yescharacteristic, complemented
564#63225C22×C411yescharacteristic, complemented
565#63225C22×C412yescomplemented
566C4×Dic17C22×C411yescharacteristic, complemented
567C4×Dic17C22×C411yescharacteristic, complemented
568C4×Dic17C22×C411yescharacteristic, complemented
569#34288—171nomaximal, Sylow
570C23×C17—24no—
571C23×C17—24no—
572C23×C17—42no—
573C23×C17C23×C412yes—
574C23×C17C23×C411yescharacteristic
575C23×C17C23×C412yes—
576C23×C17C23×C411yescharacteristic
577C22×D17—21no—
578C22×D17—21no—
579C22×D17—22no—
580C22×D17—21no—
581C22×D17—22no—
582C22×D17—22no—
583C22×D17—22no—
584C22×D17—21no—
585C22×D17—24no—
586C22×D17—24no—
587C22×D17—24no—
588C22×D17—24no—
589C22×D17—24no—
590C22×D17—24no—
591C22×D17—21no—
592C22×D17—22no—
593C22×D17—21no—
594C22×D17—22no—
595C22×D17—21no—
596C22×D17—21no—
597C22×D17—22no—
598C22×D17—22no—
599C22×D17—21no—
600C22×D17—22no—
601C22×D17—21no—
602C22×D17—22no—
603C22×D17—42no—
604C22×D17—42no—
605C22×D17—42no—
606C22×D17—48no—
607C22×D17—48no—
608C22×D17—48no—
609C22×D17—48no—
610C22×D17C23×C411yescharacteristic
611C22×D17C23×C412yes—
612C22×D17C23×C412yes—
613C22×D17C23×C411yescharacteristic
614C22×D17C22×D414yes—
615C22×D17C2×#4114yes—
616C22×D17H(5,𝔽2)12yes—
617C22×D172−1+412yes—
618C22×D17C2511yescharacteristic
619C2×#595—28no—
620C2×#595—21no—
621C2×#595—22no—
622C2×#595—22no—
623C2×#595—21no—
624C2×#595—21no—
625C2×#595—21no—
626C2×#595—21no—
627C2×#595—21no—
628C2×#595—21no—
629C2×#595—21no—
630C2×#595—22no—
631C2×#595—21no—
632C2×#595—22no—
633C2×#595—21no—
634C2×#595—21no—
635C2×#595—22no—
636C2×#595—21no—
637C2×#595—22no—
638C2×#595—21no—
639C2×#595—22no—
640C2×#595—22no—
641C2×#595—22no—
642C2×#595—22no—
643C2×#595—21no—
644C2×#595—21no—
645C2×#595—21no—
646C2×#595—21no—
647C2×#595—21no—
648C2×#595—22no—
649C2×#595—21no—
650C2×#595—21no—
651C2×#595—21no—
652C2×#595—48no—
653C2×#595—48no—
654C2×#595—44no—
655C2×#595—48no—
656C2×#595—48no—
657C2×#595—48no—
658C2×#595—84no—
659C2×#595—84no—
660C2×#595—84no—
661C2×#595C22×D412yes—
662C2×#595C22×D412yes—
663C2×#595C22×D414yes—
664C2×#595H(5,𝔽2)12yes—
665Q8×C17—22no—
666D4×C17—24no—
667D4×C17—24no—
668D4×C17—22no—
669D4×C17—22no—
670D4×C17—42no—
671D4×C17C4×D414yescomplemented
672C2×C4×C17—24no—
673C2×C4×C17—22no—
674C2×C4×C17—22no—
675C2×C4×C17—42no—
676C2×C4×C17C23×C411yescharacteristic
677C2×C4×C17C23×C411yescharacteristic
678C2×C4×C17C23×C412yes—
679C2×C4×C17C23×C412yes—
680C2×C4×C17C23×C411yescharacteristic
681C2×C4×C17C23×C411yescharacteristic
682C2×C4×C17C23×C411yescharacteristic
683C22⋊D17—24no—
684C22⋊D17—24no—
685C22⋊D17—22no—
686C22⋊D17—24no—
687C22⋊D17—24no—
688C22⋊D17—22no—
689C22⋊D17—24no—
690C22⋊D17—42no—
691C22⋊D17—42no—
692C22⋊D17C4×D418yescomplemented
693C2×Dic17—24no—
694C2×Dic17—22no—
695C2×Dic17—22no—
696C2×Dic17—42no—
697C2×Dic17C23×C411yescharacteristic
698C2×Dic17C23×C412yes—
699C2×Dic17C23×C411yescharacteristic
700C2×Dic17C23×C412yes—
701C2×Dic17C23×C411yescharacteristic
702C2×Dic17C23×C411yescharacteristic
703C2×Dic17C23×C411yescharacteristic
704D68—24no—
705D68—24no—
706D68—22no—
707D68—22no—
708D68—42no—
709D68C4×D414yescomplemented
710C4×D17—24no—
711C4×D17—24no—
712C4×D17—21no—
713C4×D17—22no—
714C4×D17—21no—
715C4×D17—21no—
716C4×D17—21no—
717C4×D17—22no—
718C4×D17—21no—
719C4×D17—22no—
720C4×D17—21no—
721C4×D17—21no—
722C4×D17—22no—
723C4×D17—21no—
724C4×D17—22no—
725C4×D17—22no—
726C4×D17—22no—
727C4×D17—22no—
728C4×D17—42no—
729C4×D17—42no—
730C4×D17C22×D412yes—
731C4×D17C2×#4112yes—
732Dic34—22no—
733Dic34—24no—
734C2×#546—171no—
735C2×#520—171no—
736C22×C4×D4—171no—
737#2367—171no—
738#2361—171no—
739#2361—172no—
740#2360—171no—
741#2359—172no—
742#2358—172no—
743D4×C4⋊C4—171no—
744D4×C4⋊C4—171no—
745#2342—172no—
746#2339—171no—
747D4×C22⋊C4—171no—
748#2326—171no—
749#2325—172no—
750#2324—171no—
751#2322—172no—
752C4×C22⋊Q8—171no—
753C4×#120—172no—
754#2290—171no—
755C2×#385—172no—
756#2275—171no—
757C22×C17—21no—
758C22×C17—22no—
759C22×C17—22no—
760C22×C17—21no—
761C22×C17—21no—
762C22×C17—22no—
763C22×C17—21no—
764C22×C17—22no—
765C22×C17—21no—
766C22×C17—22no—
767C22×C17—48no—
768C22×C17C2×C4×D414yes—
769C22×C17#52012yescomplemented
770C22×C17C24×C411yescharacteristic
771C2×D17—21no—
772C2×D17—22no—
773C2×D17—22no—
774C2×D17—21no—
775C2×D17—22no—
776C2×D17—24no—
777C2×D17—22no—
778C2×D17—24no—
779C2×D17—24no—
780C2×D17—22no—
781C2×D17—22no—
782C2×D17—24no—
783C2×D17—21no—
784C2×D17—22no—
785C2×D17—21no—
786C2×D17—22no—
787C2×D17—21no—
788C2×D17—22no—
789C2×D17—48no—
790C2×D17—48no—
791C2×D17—48no—
792C2×D17—42no—
793C2×D17—41no—
794C2×D17—41no—
795C2×D17—42no—
796C2×D17—41no—
797C2×D17—42no—
798C2×D17—41no—
799C2×D17—42no—
800C2×D17C2×C4×D414yes—
801C2×D17#52012yescomplemented
802C2×D17C23×D411yescharacteristic
803C2×D17C22×#4111yescharacteristic
804C2×D17C2×H(5,𝔽2)11yescharacteristic
805C2×D17C2×H(5,𝔽2)11yescharacteristic
806C2×D17C2×2−1+411yescharacteristic
807C2×D17#58511yescharacteristic
808#595—22no—
809#595—22no—
810#595—24no—
811#595—22no—
812#595—42no—
813#595—41no—
814#595—42no—
815#595—41no—
816#595—41no—
817#595—42no—
818#595—41no—
819#595—41no—
820C4×C17—22no—
821C4×C17—21no—
822C4×C17—21no—
823C4×C17—21no—
824C4×C17—21no—
825C4×C17—22no—
826C4×C17C2×C4×D412yes—
827Dic17—22no—
828Dic17—21no—
829Dic17—21no—
830Dic17—21no—
831Dic17—21no—
832Dic17—22no—
833Dic17C2×C4×D412yes—
834C22×#41—171no—
835C23×D4—171no—
836C24×C4—172no—
837#546—171no—
838#546—171no—
839#546—171no—
840#546—172no—
841#546—171no—
842#546—171no—
843#546—172no—
844#546—172no—
845#546—171no—
846#546—171no—
847#546—172no—
848#546#59511yescharacteristic, complemented
849C2×#124—171no—
850C2×#123—172no—
851C2×C22⋊Q8—171no—
852C2×#121—171no—
853C2×#121—172no—
854C2×#120—172no—
855#520—348no—
856C2×C4×Q8—171no—
857C2×C4×Q8—171no—
858C2×C4×D4—171no—
859C2×C4×D4—171no—
860C2×C4×D4—171no—
861C2×C4×D4—172no—
862C2×C4×D4—171no—
863C2×C4×D4—172no—
864C2×C4×D4—171no—
865C2×C4×D4—171no—
866C2×C4×D4—171no—
867C2×C4×D4—172no—
868C2×C4×D4—172no—
869C2×C4×D4—171no—
870C2×C4×D4—172no—
871C2×C4×D4—172no—
872C2×C4×D4—348no—
873C2×#117—171no—
874C2×#117—172no—
875C22×C4⋊C4—172no—
876C22×C4⋊C4—171no—
877C22×C4⋊C4—171no—
878C22×C4⋊C4—172no—
879C22×C22⋊C4—172no—
880C22×C22⋊C4—172no—
881C22×C22⋊C4—172no—
882C22×C42—171no—
883#391—171no—
884#391—171no—
885#390—171no—
886#390—172no—
887#390—171no—
888#389—172no—
889#389—172no—
890#389—171no—
891#389—171no—
892#388—172no—
893#388—172no—
894#388—172no—
895#388—171no—
896#388—172no—
897#388—172no—
898#388—172no—
899#388—171no—
900#387—171no—
901#387—172no—
902#387—172no—
903#387—171no—
904#386—172no—
905#386—172no—
906#386—172no—
907#386—172no—
908#386—172no—
909#386—172no—
910#386—171no—
911#386—171no—
912#385—172no—
913#385—172no—
914#385—172no—
915#385—172no—
916#385—172no—
917#385—171no—
918#385—172no—
919#385—172no—
920#385—172no—
921#385—171no—
922#385—172no—
923#385—172no—
924#385—172no—
925#384—171no—
926#381—172no—
927#380—171no—
928#380—172no—
929#380—171no—
930#379—172no—
931C4×C4⋊C4—171no—
932C4×C4⋊C4—171no—
933C4×C4⋊C4—171no—
934C4×C4⋊C4—172no—
935C4×C4⋊C4—171no—
936C4×C22⋊C4—172no—
937C4×C22⋊C4—171no—
938C4×C22⋊C4—171no—
939C4×C22⋊C4—172no—
940C4×C22⋊C4—172no—
941C4×C22⋊C4—172no—
942C4×C22⋊C4—172no—
943C4×C22⋊C4—172no—
944#376—171no—
945C2×#95—172no—
946C2×#95—172no—
947C2×C17—22no—
948C2×C17—24no—
949C2×C17—42no—
950C2×C17—41no—
951C2×C17C22×C4×D411yescharacteristic
952C2×C17C2×#52011yescharacteristic
953C2×C17C4×H(5,𝔽2)11yescharacteristic
954D17—22no—
955D17—24no—
956D17—41no—
957D17—42no—
958D17#348411yescharacteristic
959D17#348911yescharacteristic
960D17#351311yescharacteristic
961D17#352011yescharacteristic
962C25—172no—
963C2×#41—171no—
964C2×#41—171no—
965C2×#41—172no—
966C2×#41—171no—
967C2×#41—172no—
968C2×#41—344no—
969C2×#41—344no—
970C2×#41C2×#59511yescharacteristic, complemented
971C22×Q8—171no—
972C22×D4—171no—
973C22×D4—172no—
974C22×D4—171no—
975C22×D4—172no—
976C22×D4—171no—
977C22×D4—172no—
978C22×D4—171no—
979C22×D4—171no—
980C22×D4—172no—
981C22×D4—172no—
982C22×D4—171no—
983C22×D4—344no—
984C22×D4—344no—
985C22×D4C2×#59511yescharacteristic, complemented
986C23×C4—172no—
987C23×C4—171no—
988C23×C4—172no—
989C23×C4—171no—
990C23×C4—172no—
991C23×C4—171no—
992C23×C4—171no—
993C23×C4—172no—
994C23×C4—172no—
995C23×C4—172no—
996C23×C4—172no—
997C23×C4—172no—
998C23×C4—172no—
999C23×C4—172no—
1000C23×C4—348no—
1001C23×C4—684no—
1002C23×C4—684no—
1003#124—171no—
1004#124—171no—
1005#124—172no—
1006#124—172no—
1007#124—171no—
1008#124C2×#59511yescharacteristic, complemented
1009#123—172no—
1010#123—172no—
1011#123—172no—
1012#123—172no—
1013#123—172no—
1014#123—172no—
1015#123—172no—
1016#123C2×#59512yescomplemented
1017C22⋊Q8—171no—
1018C22⋊Q8—171no—
1019C22⋊Q8—172no—
1020C22⋊Q8—171no—
1021C22⋊Q8—172no—
1022C22⋊Q8C2×#59511yescharacteristic, complemented
1023#121—171no—
1024#121—172no—
1025#121—172no—
1026#121—172no—
1027#121—172no—
1028#121—171no—
1029#121—172no—
1030#121—171no—
1031#121—172no—
1032#121—172no—
1033#121—172no—
1034#121—172no—
1035#121C2×#59511yescharacteristic, complemented
1036#121C2×#59512yescomplemented
1037#120—172no—
1038#120—172no—
1039#120—172no—
1040#120—172no—
1041#120—172no—
1042#120—172no—
1043#120—172no—
1044#120C2×#59512yescomplemented
1045C4×Q8—344no—
1046C4×Q8—344no—
1047C4×D4—178no—
1048C4×D4—171no—
1049C4×D4—171no—
1050C4×D4—171no—
1051C4×D4—172no—
1052C4×D4—171no—
1053C4×D4—171no—
1054C4×D4—171no—
1055C4×D4—171no—
1056C4×D4—171no—
1057C4×D4—172no—
1058C4×D4—171no—
1059C4×D4—171no—
1060C4×D4—344no—
1061C4×D4—348no—
1062C4×D4—348no—
1063C4×D4—344no—
1064C4×D4—348no—
1065C4×D4—348no—
1066C4×D4—344no—
1067C4×D4—344no—
1068C4×D4—344no—
1069C4×D4—684no—
1070C4×D4—684no—
1071C4×D4C2×#59511yescharacteristic, complemented
1072C4×D4C2×#59511yescharacteristic, complemented
1073#117—344no—
1074#117—348no—
1075C2×C4⋊C4—171no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—172no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—172no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—172no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—172no—
1086C2×C4⋊C4—172no—
1087C2×C4⋊C4—172no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—172no—
1091C2×C4⋊C4—172no—
1092C2×C4⋊C4—172no—
1093C2×C4⋊C4—171no—
1094C2×C4⋊C4—344no—
1095C2×C4⋊C4—344no—
1096C2×C4⋊C4—348no—
1097C2×C4⋊C4—684no—
1098C2×C22⋊C4—172no—
1099C2×C22⋊C4—172no—
1100C2×C22⋊C4—172no—
1101C2×C22⋊C4—172no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—172no—
1104C2×C22⋊C4—172no—
1105C2×C22⋊C4—172no—
1106C2×C22⋊C4—172no—
1107C2×C22⋊C4—172no—
1108C2×C22⋊C4—172no—
1109C2×C22⋊C4—172no—
1110C2×C22⋊C4—172no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—172no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—172no—
1115C2×C22⋊C4—172no—
1116C2×C22⋊C4—172no—
1117C2×C22⋊C4—172no—
1118C2×C22⋊C4—172no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—172no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—172no—
1125C2×C22⋊C4—172no—
1126C2×C22⋊C4—172no—
1127C2×C22⋊C4—172no—
1128C2×C22⋊C4—172no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—348no—
1131C2×C22⋊C4—684no—
1132C2×C22⋊C4C2×#59512yescomplemented
1133C2×C42—171no—
1134C2×C42—171no—
1135C2×C42—172no—
1136C2×C42—172no—
1137C2×C42—171no—
1138C2×C42—171no—
1139C2×C42—171no—
1140C2×C42—171no—
1141C2×C42—171no—
1142C2×C42—172no—
1143C2×C42—172no—
1144C2×C42—172no—
1145C2×C42—344no—
1146#95—171no—
1147#95—171no—
1148#95—172no—
1149#95—172no—
1150#95—172no—
1151#95—172no—
1152#95—172no—
1153#95—172no—
1154#95—171no—
1155#95—171no—
1156#95—171no—
1157#95—171no—
1158#95—172no—
1159#95—172no—
1160#95—171no—
1161#95—172no—
1162#95—172no—
1163#95—171no—
1164#95—171no—
1165#95—172no—
1166#95—171no—
1167C17#3428811yescharacteristic, complemented, Sylow
1168C24—171no—
1169C24—172no—
1170C24—172no—
1171C24—171no—
1172C24—172no—
1173C24—172no—
1174C24—172no—
1175C24—344no—
1176C24—344no—
1177C24—344no—
1178C24—344no—
1179C24—682no—
1180C24—682no—
1181C24C22×#59512yes—
1182#41—24no—
1183#41—348no—
1184#41—344no—
1185#41—348no—
1186#41—344no—
1187#41—344no—
1188C2×Q8—172no—
1189C2×Q8—171no—
1190C2×Q8—342no—
1191C2×Q8—342no—
1192C2×Q8C22×#59511yescharacteristic, complemented
1193C2×D4—24no—
1194C2×D4—172no—
1195C2×D4—174no—
1196C2×D4—174no—
1197C2×D4—171no—
1198C2×D4—171no—
1199C2×D4—172no—
1200C2×D4—172no—
1201C2×D4—172no—
1202C2×D4—172no—
1203C2×D4—172no—
1204C2×D4—172no—
1205C2×D4—172no—
1206C2×D4—171no—
1207C2×D4—171no—
1208C2×D4—172no—
1209C2×D4—171no—
1210C2×D4—172no—
1211C2×D4—172no—
1212C2×D4—344no—
1213C2×D4—342no—
1214C2×D4—342no—
1215C2×D4—348no—
1216C2×D4—344no—
1217C2×D4—344no—
1218C2×D4—344no—
1219C2×D4—342no—
1220C2×D4—342no—
1221C2×D4—344no—
1222C2×D4—344no—
1223C2×D4—348no—
1224C2×D4—344no—
1225C2×D4—682no—
1226C2×D4—682no—
1227C2×D4C22×#59511yescharacteristic
1228C2×D4C22×#59512yes—
1229C2×D4C22×#59511yescharacteristic
1230C2×D4C22×#59511yescharacteristic
1231C2×D4C22×#59512yescomplemented
1232C2×D4C22×#59512yescomplemented
1233C22×C4—171no—
1234C22×C4—171no—
1235C22×C4—171no—
1236C22×C4—171no—
1237C22×C4—172no—
1238C22×C4—171no—
1239C22×C4—172no—
1240C22×C4—171no—
1241C22×C4—178no—
1242C22×C4—172no—
1243C22×C4—171no—
1244C22×C4—171no—
1245C22×C4—172no—
1246C22×C4—172no—
1247C22×C4—171no—
1248C22×C4—171no—
1249C22×C4—171no—
1250C22×C4—172no—
1251C22×C4—172no—
1252C22×C4—171no—
1253C22×C4—171no—
1254C22×C4—171no—
1255C22×C4—172no—
1256C22×C4—172no—
1257C22×C4—171no—
1258C22×C4—171no—
1259C22×C4—171no—
1260C22×C4—172no—
1261C22×C4—171no—
1262C22×C4—172no—
1263C22×C4—171no—
1264C22×C4—172no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—344no—
1270C22×C4—344no—
1271C22×C4—342no—
1272C22×C4—342no—
1273C22×C4—342no—
1274C22×C4—344no—
1275C22×C4—344no—
1276C22×C4—344no—
1277C22×C4—344no—
1278C22×C4—344no—
1279C22×C4—344no—
1280C22×C4—342no—
1281C22×C4—344no—
1282C22×C4—344no—
1283C22×C4—342no—
1284C22×C4—344no—
1285C22×C4—344no—
1286C22×C4—682no—
1287C22×C4—682no—
1288C22×C4—681no—
1289C22×C4—682no—
1290C22×C4—682no—
1291C22×C4—682no—
1292C22×C4—682no—
1293C22×C4—682no—
1294C22×C4—682no—
1295C22×C4—682no—
1296C22×C4—682no—
1297C22×C4—682no—
1298C22×C4—682no—
1299C22×C4—682no—
1300C22×C4—682no—
1301C22×C4—682no—
1302C22×C4—6832no—
1303C22×C4C22×#59511yescharacteristic
1304C22×C4C22×#59512yescomplemented
1305C22×C4C22×#59511yescharacteristic, complemented
1306C22×C4C22×#59512yescomplemented
1307C4⋊C4—174no—
1308C4⋊C4—172no—
1309C4⋊C4—171no—
1310C4⋊C4—171no—
1311C4⋊C4—171no—
1312C4⋊C4—171no—
1313C4⋊C4—172no—
1314C4⋊C4—172no—
1315C4⋊C4—172no—
1316C4⋊C4—342no—
1317C4⋊C4—344no—
1318C4⋊C4—342no—
1319C4⋊C4—344no—
1320C4⋊C4—342no—
1321C4⋊C4—344no—
1322C4⋊C4—344no—
1323C4⋊C4—342no—
1324C4⋊C4—344no—
1325C4⋊C4—342no—
1326C4⋊C4—342no—
1327C4⋊C4—681no—
1328C4⋊C4—682no—
1329C4⋊C4—682no—
1330C4⋊C4—682no—
1331C4⋊C4C22×#59511yescharacteristic, complemented
1332C4⋊C4C22×#59511yescharacteristic, complemented
1333C4⋊C4C22×#59512yescomplemented
1334C22⋊C4—178no—
1335C22⋊C4—171no—
1336C22⋊C4—172no—
1337C22⋊C4—172no—
1338C22⋊C4—172no—
1339C22⋊C4—172no—
1340C22⋊C4—171no—
1341C22⋊C4—172no—
1342C22⋊C4—171no—
1343C22⋊C4—171no—
1344C22⋊C4—172no—
1345C22⋊C4—172no—
1346C22⋊C4—172no—
1347C22⋊C4—172no—
1348C22⋊C4—172no—
1349C22⋊C4—172no—
1350C22⋊C4—172no—
1351C22⋊C4—172no—
1352C22⋊C4—171no—
1353C22⋊C4—171no—
1354C22⋊C4—172no—
1355C22⋊C4—172no—
1356C22⋊C4—344no—
1357C22⋊C4—344no—
1358C22⋊C4—342no—
1359C22⋊C4—342no—
1360C22⋊C4—342no—
1361C22⋊C4—342no—
1362C22⋊C4—344no—
1363C22⋊C4—342no—
1364C22⋊C4—344no—
1365C22⋊C4—344no—
1366C22⋊C4—344no—
1367C22⋊C4—682no—
1368C22⋊C4—681no—
1369C22⋊C4—682no—
1370C22⋊C4—682no—
1371C22⋊C4—682no—
1372C22⋊C4—682no—
1373C22⋊C4C22×#59511yescharacteristic
1374C22⋊C4C22×#59512yes—
1375C22⋊C4C22×#59512yescomplemented
1376C22⋊C4C22×#59512yescomplemented
1377C22⋊C4C22×#59512yescomplemented
1378C22⋊C4C22×#59511yescharacteristic, complemented
1379C22⋊C4C22×#59512yescomplemented
1380C42—174no—
1381C42—171no—
1382C42—171no—
1383C42—171no—
1384C42—342no—
1385C42—342no—
1386C42—342no—
1387C42—342no—
1388C42—344no—
1389C42—344no—
1390C42—342no—
1391C42—682no—
1392C42—682no—
1393C42—682no—
1394C42C22×#59511yescharacteristic, complemented
1395C23—24no—
1396C23—24no—
1397C23—42no—
1398C23—171no—
1399C23—174no—
1400C23—174no—
1401C23—172no—
1402C23—172no—
1403C23—171no—
1404C23—172no—
1405C23—172no—
1406C23—171no—
1407C23—341no—
1408C23—342no—
1409C23—341no—
1410C23—341no—
1411C23—342no—
1412C23—342no—
1413C23—341no—
1414C23—342no—
1415C23—341no—
1416C23—342no—
1417C23—341no—
1418C23—341no—
1419C23—342no—
1420C23—342no—
1421C23—341no—
1422C23—342no—
1423C23—341no—
1424C23—344no—
1425C23—342no—
1426C23—344no—
1427C23—341no—
1428C23—344no—
1429C23—342no—
1430C23—344no—
1431C23—344no—
1432C23—344no—
1433C23—682no—
1434C23—682no—
1435C23—682no—
1436C23—688no—
1437C23—688no—
1438C23—688no—
1439C23—688no—
1440C23C23×#59512yes—
1441C23C23×#59511yescharacteristic
1442C23C23×#59512yes—
1443C23C23×#59511yescharacteristic
1444Q8—22no—
1445Q8—344no—
1446Q8—342no—
1447D4—24no—
1448D4—24no—
1449D4—22no—
1450D4—22no—
1451D4—42no—
1452D4—178no—
1453D4—174no—
1454D4—344no—
1455D4—344no—
1456D4—342no—
1457D4—344no—
1458D4—344no—
1459D4—344no—
1460D4—342no—
1461D4—344no—
1462D4—344no—
1463D4—342no—
1464D4—342no—
1465D4—682no—
1466D4—682no—
1467D4—682no—
1468D4D4×#59514yescomplemented
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—42no—
1473C2×C4—171no—
1474C2×C4—172no—
1475C2×C4—172no—
1476C2×C4—172no—
1477C2×C4—172no—
1478C2×C4—174no—
1479C2×C4—172no—
1480C2×C4—171no—
1481C2×C4—171no—
1482C2×C4—172no—
1483C2×C4—171no—
1484C2×C4—172no—
1485C2×C4—171no—
1486C2×C4—342no—
1487C2×C4—342no—
1488C2×C4—341no—
1489C2×C4—342no—
1490C2×C4—341no—
1491C2×C4—342no—
1492C2×C4—342no—
1493C2×C4—341no—
1494C2×C4—341no—
1495C2×C4—341no—
1496C2×C4—341no—
1497C2×C4—341no—
1498C2×C4—342no—
1499C2×C4—344no—
1500C2×C4—344no—
1501C2×C4—341no—
1502C2×C4—342no—
1503C2×C4—342no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—342no—
1507C2×C4—342no—
1508C2×C4—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—348no—
1513C2×C4—344no—
1514C2×C4—342no—
1515C2×C4—342no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—342no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—342no—
1524C2×C4—342no—
1525C2×C4—342no—
1526C2×C4—341no—
1527C2×C4—341no—
1528C2×C4—342no—
1529C2×C4—342no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—342no—
1534C2×C4—342no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—342no—
1539C2×C4—341no—
1540C2×C4—682no—
1541C2×C4—682no—
1542C2×C4—682no—
1543C2×C4—688no—
1544C2×C4—688no—
1545C2×C4—688no—
1546C2×C4—688no—
1547C2×C4—684no—
1548C2×C4—688no—
1549C2×C4—1364no—
1550C2×C4—1364no—
1551C2×C4—1364no—
1552C2×C4C23×#59511yescharacteristic
1553C2×C4C23×#59511yescharacteristic
1554C2×C4C23×#59512yes—
1555C2×C4C23×#59511yescharacteristic
1556C2×C4C23×#59512yes—
1557C2×C4C23×#59511yescharacteristic
1558C2×C4C23×#59511yescharacteristic
1559C22—21no—
1560C22—22no—
1561C22—22no—
1562C22—21no—
1563C22—21no—
1564C22—22no—
1565C22—21no—
1566C22—22no—
1567C22—21no—
1568C22—22no—
1569C22—48no—
1570C22—171no—
1571C22—171no—
1572C22—171no—
1573C22—171no—
1574C22—171no—
1575C22—171no—
1576C22—174no—
1577C22—172no—
1578C22—342no—
1579C22—344no—
1580C22—342no—
1581C22—344no—
1582C22—342no—
1583C22—342no—
1584C22—344no—
1585C22—344no—
1586C22—341no—
1587C22—342no—
1588C22—342no—
1589C22—341no—
1590C22—341no—
1591C22—342no—
1592C22—341no—
1593C22—342no—
1594C22—341no—
1595C22—342no—
1596C22—688no—
1597C22—688no—
1598C22—682no—
1599C22—681no—
1600C22—682no—
1601C22—682no—
1602C22—682no—
1603C22—681no—
1604C22—681no—
1605C22—681no—
1606C22—688no—
1607C22C2×D4×#59514yes—
1608C22#1176387812yescomplemented
1609C22C24×#59511yescharacteristic
1610C4—21no—
1611C4—21no—
1612C4—22no—
1613C4—21no—
1614C4—21no—
1615C4—22no—
1616C4—172no—
1617C4—342no—
1618C4—342no—
1619C4—344no—
1620C4—342no—
1621C4—341no—
1622C4—341no—
1623C4—342no—
1624C4—341no—
1625C4—341no—
1626C4—342no—
1627C4—682no—
1628C4—681no—
1629C4—681no—
1630C4—682no—
1631C4—681no—
1632C4—682no—
1633C4—681no—
1634C4—681no—
1635C4C2×D4×#59512yes—
1636C2—22no—
1637C2—24no—
1638C2—42no—
1639C2—41no—
1640C2—171no—
1641C2—171no—
1642C2—171no—
1643C2—171no—
1644C2—342no—
1645C2—344no—
1646C2—682no—
1647C2—681no—
1648C2C22×D4×#59511yescharacteristic
1649C2C2×#1176387811yescharacteristic
1650C2H(5,𝔽2)×#59511yescharacteristic
subgroupG/H
center, FrattiniC22C24×#595
commutator, socleC22×C17C24×C4
FittingC17×#546C4
prime radicalD17×#546C2
cosocleC22×D17C25
hypercenter#546#595
hypocenterC17#34288
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #546

Complements

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

NH ≅ G/Ntype
1. C2×#11763878C2semidirect
2. C22×D4×#595C2semidirect
3. #14545315C2semidirect
4. #14545309C2semidirect
5. #14545309C2semidirect
6. #14545308C2semidirect
7. #14545307C2semidirect
8. #14545306C2semidirect
9. D4×C4⋊#595C2semidirect
10. D4×C4⋊#595C2semidirect
11. #14545290C2semidirect
12. #14545287C2semidirect
13. D4×C22⋊#595C2semidirect
14. #14545274C2semidirect
15. #14545273C2semidirect
16. #14545272C2semidirect
17. #14545270C2semidirect
18. C22⋊Q8×#595C2semidirect
19. #120×#595C2semidirect
20. #14545238C2semidirect
21. C2×#11763756C2semidirect
22. #14545223C2semidirect
26. C2×Q8×#595C22semidirect
27. C2×Q8×#595C22semidirect
38. C2×D4×#595C22semidirect
39. C2×D4×#595C22semidirect
40. C2×D4×#595C22semidirect
41. C2×#10587677C22semidirect
42. C2×#10587677C22semidirect
44. C22×C4⋊#595C22semidirect
45. C22×C4⋊#595C22semidirect
46. C22×C4⋊#595C22semidirect
50. (C2×#595)⋊Q8C22semidirect
51. (C2×#595)⋊Q8C22semidirect
54. #11763761C22semidirect
55. #11763760C22semidirect
56. #11763760C22semidirect
57. #11763760C22semidirect
58. #11763760C22semidirect
59. #11763759C22semidirect
60. #11763759C22semidirect
61. #11763759C22semidirect
62. #11763759C22semidirect
63. #11763759C22semidirect
64. #11763759C22semidirect
65. #11763759C22semidirect
66. #11763759C22semidirect
67. #11763758C22semidirect
68. #11763758C22semidirect
69. #11763758C22semidirect
70. #11763758C22semidirect
75. #11763757C22semidirect
76. #11763757C22semidirect
77. #11763757C22semidirect
78. #11763757C22semidirect
84. #11763756C22semidirect
85. #11763756C22semidirect
86. #11763756C22semidirect
87. #11763756C22semidirect
88. #11763756C22semidirect
89. #11763756C22semidirect
90. #11763756C22semidirect
91. #11763756C22semidirect
92. #11763755C22semidirect
93. #11763752C22semidirect
95. #11763751C22semidirect
96. #11763751C22semidirect
98. C4⋊C4×#595C22semidirect
99. C4⋊C4×#595C22semidirect
100. C4⋊C4×#595C22semidirect
101. C4×C4⋊#595C22semidirect
102. C4×C4⋊#595C22semidirect
105. C22⋊C4×#595C22semidirect
106. C22⋊C4×#595C22semidirect
107. C22⋊C4×#595C22semidirect
109. C4×C22⋊#595C22semidirect
110. C4×C22⋊#595C22semidirect
111. #11763745C22semidirect
112. C2×(C2×#595)⋊C4C22semidirect
113. C2×(C2×#595)⋊C4C22semidirect
116. #11763456C4semidirect
117. #11763455C4semidirect
118. #11763454C4semidirect
119. #11763453C4semidirect
120. #11763452C4semidirect
121. #11763451C4semidirect
122. #11763450C4semidirect
123. #11763449C4semidirect
124. #11763448C4semidirect
125. #11763447C4semidirect
126. #11763446C4semidirect
136. C17×#546C4semidirect
151. C2×#41×C17C2×C4semidirect
152. C22×D4×C17C2×C4semidirect
153. C22×C22⋊D17C2×C4semidirect
156. C2×#63256C2×C4semidirect
158. C2×#63254C2×C4semidirect
159. C2×#63254C2×C4semidirect
162. C2×D4×D17C2×C4semidirect
163. C2×D4×D17C2×C4semidirect
164. C2×D4×D17C2×C4semidirect
171. C2×#63252C2×C4semidirect
172. C2×#63252C2×C4semidirect
173. C22×D68C2×C4semidirect
211. D4×#595D4semidirect
246. C17×#124C2×C4semidirect
247. C17×#123C2×C4semidirect
248. C17×C22⋊Q8C2×C4semidirect
249. C17×#121C2×C4semidirect
250. C17×#121C2×C4semidirect
251. C17×#120C2×C4semidirect
252. C4×D4×C17C2×C4semidirect
253. C4×D4×C17C2×C4semidirect
254. C2×C22⋊C4×C17C2×C4semidirect
255. #10587639C2×C4semidirect
256. C2×C22⋊Dic17C2×C4semidirect
257. #10587633C2×C4semidirect
258. #10587632C2×C4semidirect
259. #10587625C2×C4semidirect
260. #10587625C2×C4semidirect
261. #10587625C2×C4semidirect
262. #10587624C2×C4semidirect
263. #10587624C2×C4semidirect
264. #10587623C2×C4semidirect
265. #10587623C2×C4semidirect
266. #10587623C2×C4semidirect
267. #10587622C2×C4semidirect
268. #10587621C2×C4semidirect
269. D4×Dic17C2×C4semidirect
270. D4×Dic17C2×C4semidirect
271. #10587616C2×C4semidirect
272. #10587616C2×C4semidirect
273. #10587615C2×C4semidirect
274. C4×C22⋊D17C2×C4semidirect
275. C4×C22⋊D17C2×C4semidirect
276. C4×C22⋊D17C2×C4semidirect
277. C2×#63227C2×C4semidirect
278. C2×#63227C2×C4semidirect
279. #10587610C2×C4semidirect
280. #10587583C2×C4semidirect
281. #10587582C2×C4semidirect
282. #10587581C2×C4semidirect
283. #10587581C2×C4semidirect
284. #10587580C2×C4semidirect
285. #10587580C2×C4semidirect
286. #10587579C2×C4semidirect
287. #10587579C2×C4semidirect
291. #10587572C2×C4semidirect
292. #10587571C2×C4semidirect
293. #10587571C2×C4semidirect
294. #10587570C2×C4semidirect
295. #10587570C2×C4semidirect
296. #10587570C2×C4semidirect
297. #10587569C2×C4semidirect
298. #10587569C2×C4semidirect
299. #10587568C2×C4semidirect
300. #10587568C2×C4semidirect
301. #10587568C2×C4semidirect
302. #10587567C2×C4semidirect
303. #10587567C2×C4semidirect
304. #10587567C2×C4semidirect
305. C22⋊C4×D17C2×C4semidirect
306. C22⋊C4×D17C2×C4semidirect
307. C22⋊C4×D17C2×C4semidirect
308. C22⋊C4×D17C2×C4semidirect
316. #10587564C2×C4semidirect
317. #10587561C2×C4semidirect
318. C4×D68C2×C4semidirect
319. C4×D68C2×C4semidirect
400. C2×Q8×C17C22×C4semidirect
406. C2×D4×C17C22×C4semidirect
407. C2×D4×C17C22×C4semidirect
409. C22×C4×C17C22×C4semidirect
410. C22×C4×C17C22×C4semidirect
411. C22×C4×C17C22×C4semidirect
419. C2×C22⋊D17C22×C4semidirect
420. C2×C22⋊D17C22×C4semidirect
421. C2×C22⋊D17C22×C4semidirect
422. C2×C22⋊D17C22×C4semidirect
424. C22×Dic17C22×C4semidirect
425. C22×Dic17C22×C4semidirect
426. C22×Dic17C22×C4semidirect
454. C2×D68C22×C4semidirect
455. C2×D68C22×C4semidirect
466. C2×C4×D17C22×C4semidirect
467. C2×C4×D17C22×C4semidirect
468. C2×C4×D17C22×C4semidirect
469. C2×C4×D17C22×C4semidirect
470. C2×C4×D17C22×C4semidirect
471. C2×C4×D17C22×C4semidirect
479. C2×Dic34C22×C4semidirect
480. C2×Dic34C22×C4semidirect
526. C4⋊C4×C17C22×C4semidirect
527. C4⋊C4×C17C22×C4semidirect
528. C4⋊C4×C17C22×C4semidirect
531. C22⋊C4×C17C22×C4semidirect
532. C22⋊C4×C17C22×C4semidirect
533. C22⋊C4×C17C22×C4semidirect
534. C22⋊C4×C17C22×C4semidirect
535. C22⋊C4×C17C22×C4semidirect
536. C42×C17C22×C4semidirect
539. C22⋊Dic17C22×C4semidirect
540. C22⋊Dic17C22×C4semidirect
541. C22⋊Dic17C22×C4semidirect
542. C22⋊Dic17C22×C4semidirect
543. C22⋊Dic17C22×C4semidirect
548. #63227C22×C4semidirect
549. #63227C22×C4semidirect
550. #63227C22×C4semidirect
551. #63227C22×C4semidirect
552. #63227C22×C4semidirect
553. #63227C22×C4semidirect
554. #63227C22×C4semidirect
555. #63227C22×C4semidirect
556. #63227C22×C4semidirect
557. #63227C22×C4semidirect
558. C4⋊Dic17C22×C4semidirect
559. C4⋊Dic17C22×C4semidirect
560. C4⋊Dic17C22×C4semidirect
561. #63225C22×C4semidirect
562. #63225C22×C4semidirect
563. #63225C22×C4semidirect
564. #63225C22×C4semidirect
565. #63225C22×C4semidirect
566. C4×Dic17C22×C4semidirect
567. C4×Dic17C22×C4semidirect
568. C4×Dic17C22×C4semidirect
671. D4×C17C4×D4semidirect
692. C22⋊D17C4×D4semidirect
709. D68C4×D4semidirect
769. C22×C17#520semidirect
801. C2×D17#520semidirect
848. #546#595semidirect
970. C2×#41C2×#595semidirect
985. C22×D4C2×#595semidirect
1008. #124C2×#595semidirect
1016. #123C2×#595semidirect
1022. C22⋊Q8C2×#595semidirect
1035. #121C2×#595semidirect
1036. #121C2×#595semidirect
1044. #120C2×#595semidirect
1071. C4×D4C2×#595semidirect
1072. C4×D4C2×#595semidirect
1132. C2×C22⋊C4C2×#595semidirect
1167. C17#34288semidirect
1192. C2×Q8C22×#595semidirect
1231. C2×D4C22×#595semidirect
1232. C2×D4C22×#595semidirect
1304. C22×C4C22×#595semidirect
1305. C22×C4C22×#595semidirect
1306. C22×C4C22×#595semidirect
1331. C4⋊C4C22×#595semidirect
1332. C4⋊C4C22×#595semidirect
1333. C4⋊C4C22×#595semidirect
1375. C22⋊C4C22×#595semidirect
1376. C22⋊C4C22×#595semidirect
1377. C22⋊C4C22×#595semidirect
1378. C22⋊C4C22×#595semidirect
1379. C22⋊C4C22×#595semidirect
1394. C42C22×#595semidirect
1468. D4D4×#595semidirect
1608. C22#11763878semidirect

Maximal subgroups

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

subgroupindex
C2×#117638782
C22×D4×#5952
#145453152
#145453092
#145453082
#145453072
#145453062
D4×C4⋊#5952
#145452902
#145452872
D4×C22⋊#5952
#145452742
#145452732
#145452722
#145452702
C22⋊Q8×#5952
#120×#5952
#145452382
C2×#117637562
#145452232
D17×#5462
#3428817