Finite Group Databasebeta

← C2×#22624543 #33993376

Subgroups — C2×#22624543 #33993376

Order 18688.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624543C2132yesmaximal, direct product factor
2C2×#17989340C211yesmaximal, characteristic, complemented
3C2×#17989340C211yesmaximal, characteristic, complemented
4C2×#17989339C211yesmaximal, characteristic, complemented
5C2×#17989338C211yesmaximal, characteristic, complemented
6C2×#17989306C211yesmaximal, characteristic, complemented
7C2×#17989305C211yesmaximal, characteristic, complemented
8C2×#17989295C211yesmaximal, characteristic, complemented
9C2×#17989294C211yesmaximal, characteristic, complemented
10C2×#17989277C211yesmaximal, characteristic, complemented
11C2×#17989274C211yesmaximal, characteristic, complemented
12C2×#17989273C211yesmaximal, characteristic, complemented
13C2×#17989270C211yesmaximal, characteristic, complemented
14C2×#17989268C211yesmaximal, characteristic, complemented
15C2×#17989263C211yesmaximal, characteristic, complemented
16C2×#17989263C211yesmaximal, characteristic, complemented
17C2×#17989216C211yesmaximal, characteristic, complemented
18C2×#17989213C211yesmaximal, characteristic, complemented
19C2×#17989202C211yesmaximal, characteristic, complemented
20C2×#17989201C211yesmaximal, characteristic, complemented
21C2×#17989199C211yesmaximal, characteristic, complemented
22C2×#17989197C211yesmaximal, characteristic, complemented
23C2×#17989194C211yesmaximal, characteristic, complemented
24C2×#17989194C211yesmaximal, characteristic, complemented
25C2×#17989181C211yesmaximal, characteristic, complemented
26C2×#17989180C211yesmaximal, characteristic, complemented
27C2×#17989179C211yesmaximal, characteristic, complemented
28C2×#17989172C211yesmaximal, characteristic
29C2×#17989140C211yesmaximal, characteristic, complemented
30C2×#17989114C211yesmaximal, characteristic, complemented
31C22×#14556584C211yesmaximal, characteristic, complemented
32C2×#551×C73C211yesmaximal, characteristic, complemented
33#17989340C22116yescomplemented
34#17989340C22116yescomplemented
35#17989339C22116yescomplemented
36#17989338C22116yescomplemented
37#17989306C22116yescomplemented
38#17989305C22116yescomplemented
39#17989295C22116yescomplemented
40#17989294C22116yescomplemented
41#17989277C22116yescomplemented
42#17989274C22116yescomplemented
43#17989273C22116yescomplemented
44#17989270C22116yescomplemented
45#17989268C22116yescomplemented
46#17989263C22116yescomplemented
47#17989263C22116yescomplemented
48#17989216C22116yescomplemented
49#17989213C22116yescomplemented
50#17989202C22116yescomplemented
51#17989201C22116yescomplemented
52#17989199C22116yescomplemented
53#17989197C22116yescomplemented
54#17989194C22116yescomplemented
55#17989194C22116yescomplemented
56#17989181C22116yescomplemented
57#17989180C22116yescomplemented
58#17989179C22116yescomplemented
59#17989172C22116yes—
60#17989140C22116yescomplemented
61C2×#14556591C2211yescharacteristic, complemented
62C2×#14556590C2211yescharacteristic, complemented
63C2×#14556590C2211yescharacteristic, complemented
64C2×#14556590C2211yescharacteristic, complemented
65C2×#14556590C2211yescharacteristic, complemented
66C2×#14556590C2211yescharacteristic, complemented
67C2×#14556589C2211yescharacteristic, complemented
68C2×#14556589C2211yescharacteristic, complemented
69#17989114C22116yescomplemented
70C2×#14556586C2211yescharacteristic, complemented
71C2×#14556586C2211yescharacteristic, complemented
72C2×#14556585C2211yescharacteristic, complemented
73C2×#14556585C2211yescharacteristic, complemented
74C2×#14556584C2211yescharacteristic
75C2×#14556584C2211yescharacteristic
76C2×#14556584C2211yescharacteristic
77C2×#14556584C2211yescharacteristic
78C2×#14556584C2211yescharacteristic
79C2×#14556584C2211yescharacteristic
80C2×#14556584C2211yescharacteristic
81C2×#14556584C2211yescharacteristic
82C2×#14556584C2211yescharacteristic
83C2×#14556584C2211yescharacteristic
84C2×#14556584C2211yescharacteristic
85C2×#14556584C2211yescharacteristic
86C2×#14556584C2211yescharacteristic
87C2×#14556584C2211yescharacteristic
88C2×#14556584C2211yescharacteristic
89C2×#14556584C2211yescharacteristic
90C2×#14556584C22116yescomplemented
91C2×#14556584C2211yescharacteristic, complemented
92C2×#14556584C2211yescharacteristic, complemented
93C2×#14556584C2211yescharacteristic, complemented
94C2×#14556584C2211yescharacteristic, complemented
95C2×#14556583C2211yescharacteristic, complemented
96C2×#14556583C2211yescharacteristic, complemented
97C2×#14556582C2211yescharacteristic, complemented
98C2×#14556582C2211yescharacteristic, complemented
99C2×#14556582C2211yescharacteristic, complemented
100C2×#14556582C2211yescharacteristic, complemented
101C2×#14556582C2211yescharacteristic, complemented
102C2×#14556581C2211yescharacteristic, complemented
103C2×#14556581C2211yescharacteristic, complemented
104C2×#14556581C2211yescharacteristic, complemented
105C2×#14556581C2211yescharacteristic, complemented
106C2×#14556581C2211yescharacteristic, complemented
107C2×#14556581C2211yescharacteristic, complemented
108C2×#14556581C2211yescharacteristic, complemented
109C2×#14556581C2211yescharacteristic, complemented
110C2×#14556581C2211yescharacteristic, complemented
111C2×#14556581C2211yescharacteristic, complemented
112C2×#14556581C2211yescharacteristic, complemented
113C2×#14556581C2211yescharacteristic, complemented
114C2×#14556578C2211yescharacteristic
115C2×#14556578C2211yescharacteristic
116C2×#14556577C2211yescharacteristic
117C2×#14556577C2211yescharacteristic
118C2×#14556577C2211yescharacteristic
119C2×#14556577C2211yescharacteristic, complemented
120C2×#14556575C2211yescharacteristic
121C2×#14556575C2211yescharacteristic
122C2×#14556574C2211yescharacteristic
123C2×#14556574C2211yescharacteristic
124C2×#14556574C2211yescharacteristic, complemented
125C2×#14556573C2211yescharacteristic
126C2×#14556573C2211yescharacteristic
127C2×#14556573C2211yescharacteristic
128C2×#14556573C2211yescharacteristic, complemented
129C2×#14556572C2211yescharacteristic
130C2×#14556572C2211yescharacteristic
131C2×#14556572C2211yescharacteristic
132C2×#14556572C2211yescharacteristic
133C2×#14556571C2211yescharacteristic, complemented
134C2×#14556571C2211yescharacteristic, complemented
135C2×#14556570C2211yescharacteristic
136C2×#14556570C2211yescharacteristic
137C2×#14556570C2211yescharacteristic
138C2×#14556570C2211yescharacteristic
139C2×#14556570C2211yescharacteristic
140C2×#14556570C2211yescharacteristic
141C2×#14556570C2211yescharacteristic, complemented
142C2×#14556570C2211yescharacteristic, complemented
143C2×#14556569C2211yescharacteristic, complemented
144C2×#14556569C2211yescharacteristic, complemented
145C2×#14556568C2211yescharacteristic
146C2×#14556568C2211yescharacteristic
147C2×#14556568C2211yescharacteristic
148C2×#14556568C2211yescharacteristic
149C2×#14556568C2211yescharacteristic
150C2×#14556568C2211yescharacteristic
151C2×#14556568C2211yescharacteristic
152C2×#14556568C2211yescharacteristic
153C2×#14556568C2211yescharacteristic
154C2×#14556568C2211yescharacteristic
155C2×#14556568C2211yescharacteristic
156C2×#14556568C2211yescharacteristic
157C2×#14556568C2211yescharacteristic
158C2×#14556568C2211yescharacteristic, complemented
159C2×#14556568C2211yescharacteristic, complemented
160C2×#14556568C2211yescharacteristic, complemented
161C2×#14556567C2211yescharacteristic, complemented
162C2×#14556563C2211yescharacteristic
163C2×#14556563C2211yescharacteristic
164C2×#14556562C2211yescharacteristic
165C2×#14556560C2211yescharacteristic
166C2×Q8×Dic73C2211yescharacteristic, complemented
167C2×C4×Dic146C2211yescharacteristic, complemented
168C2×C4×Dic146C2211yescharacteristic, complemented
169C2×C4×Dic146C2211yescharacteristic, complemented
170C2×C4×Dic146C2211yescharacteristic, complemented
171C2×C4×Dic146C2211yescharacteristic, complemented
172C2×C4×Dic146C2211yescharacteristic, complemented
173C2×#14556556C2211yescharacteristic, complemented
174C2×#14556556C2211yescharacteristic, complemented
175C2×D4×Dic73C2211yescharacteristic
176C2×D4×Dic73C2211yescharacteristic
177C2×D4×Dic73C2211yescharacteristic
178C2×C4×C22⋊D73C2211yescharacteristic
179C2×C4×C22⋊D73C2211yescharacteristic
180C2×#14556551C2211yescharacteristic
181C2×#14556551C2211yescharacteristic
182C2×#14556551C2211yescharacteristic
183C2×#14556551C2211yescharacteristic, complemented
184C2×#14556550C2211yescharacteristic
185C2×#14556550C2211yescharacteristic
186C2×#14556549C2211yescharacteristic, complemented
187C2×#14556548C2211yescharacteristic, complemented
188C2×#14556547C2211yescharacteristic
189C2×#14556547C2211yescharacteristic
190C2×#14556547C2211yescharacteristic
191C2×#14556547C2211yescharacteristic
192C2×#14556547C2211yescharacteristic, complemented
193C2×#14556547C2211yescharacteristic, complemented
194C22×C4⋊Dic73C2211yescharacteristic
195C22×C4⋊Dic73C2211yescharacteristic, complemented
196C22×#11924007C2211yescharacteristic
197C22×#11924007C2211yescharacteristic
198C2×C4⋊C4×D73C2211yescharacteristic, complemented
199C22×C22⋊Dic73C2211yescharacteristic
200C22×C22⋊Dic73C2211yescharacteristic
201C22×C22⋊Dic73C2211yescharacteristic
202C22×C4×Dic73C2211yescharacteristic
203#551×C73C22116yescomplemented
204C2×#126×C73C2211yescharacteristic
205C2×#126×C73C2211yescharacteristic
206C2×#124×C73C2211yescharacteristic
207C2×#123×C73C2211yescharacteristic
208C2×#123×C73C2211yescharacteristic
209C2×#123×C73C2211yescharacteristic
210C2×C22⋊Q8×C73C2211yescharacteristic
211C2×C22⋊Q8×C73C2211yescharacteristic
212C2×#120×C73C2211yescharacteristic
213C2×C4×D4×C73C2211yescharacteristic
214C2×C4×D4×C73C2211yescharacteristic
215C2×#117×C73C2211yescharacteristic
216C2×#117×C73C2211yescharacteristic
217C22×C22⋊C4×C73C2211yescharacteristic
218C22×C22⋊C4×C73C2211yescharacteristic
219C22×Dic146C2311yescharacteristic
220C22×Dic146C2311yescharacteristic
221C22×Dic146C2311yescharacteristic
222C22×Dic146C2311yescharacteristic
223C22×Dic146C2311yescharacteristic
224C22×Dic146C2311yescharacteristic
225C22×Dic146C2311yescharacteristic
226C22×Dic146C2311yescharacteristic
227C22×C22⋊D73C2311yescharacteristic
228C22×C22⋊D73C2311yescharacteristic
229C22×C22⋊D73C2311yescharacteristic
230C22×C22⋊D73C2311yescharacteristic
231C23×Dic73C2311yescharacteristic
232C23×Dic73C2311yescharacteristic
233C23×Dic73C2311yescharacteristic
234C23×Dic73C2311yescharacteristic
235C23×Dic73C2311yescharacteristic
236C23×Dic73C2311yescharacteristic
237C23×Dic73C2311yescharacteristic
238C23×Dic73C2311yescharacteristic
239C22×C4×D73C2311yescharacteristic
240C22×C4×D73C2311yescharacteristic
241C22×C4×D73C2311yescharacteristic
242#14556591C2318yescomplemented
243#14556590C2318yescomplemented
244#14556590C2318yescomplemented
245#14556590C2318yescomplemented
246#14556590C2318yescomplemented
247#14556590C2318yescomplemented
248#14556589C2318yescomplemented
249#14556589C2318yescomplemented
250#14556586C2318yescomplemented
251#14556586C2318yescomplemented
252#14556585C2318yescomplemented
253#14556585C2318yescomplemented
254#14556584C2318yes—
255#14556584C2318yes—
256#14556584C2318yes—
257#14556584C2318yes—
258#14556584C2318yes—
259#14556584C2318yes—
260#14556584C2318yes—
261#14556584C2318yes—
262#14556584C2318yes—
263#14556584C2318yes—
264#14556584C2318yes—
265#14556584C2318yes—
266#14556584C2318yes—
267#14556584C2318yes—
268#14556584C2318yes—
269#14556584C2318yes—
270#14556584C2318yescomplemented
271#14556584C2318yescomplemented
272#14556584C2318yescomplemented
273#14556584C2318yescomplemented
274#14556583C2318yescomplemented
275#14556583C2318yescomplemented
276#14556582C2318yescomplemented
277#14556582C2318yescomplemented
278#14556582C2318yescomplemented
279#14556582C2318yescomplemented
280#14556582C2318yescomplemented
281#14556581C2318yescomplemented
282#14556581C2318yescomplemented
283#14556581C2318yescomplemented
284#14556581C2318yescomplemented
285#14556581C2318yescomplemented
286#14556581C2318yescomplemented
287#14556581C2318yescomplemented
288#14556581C2318yescomplemented
289#14556581C2318yescomplemented
290#14556581C2318yescomplemented
291#14556581C2318yescomplemented
292#14556581C2318yescomplemented
293#14556578C2318yes—
294#14556578C2318yes—
295#14556577C2318yes—
296#14556577C2318yes—
297#14556577C2318yes—
298#14556577C2318yescomplemented
299#14556575C2318yes—
300#14556575C2318yes—
301#14556574C2318yes—
302#14556574C2318yes—
303#14556574C2318yescomplemented
304#14556573C2318yes—
305#14556573C2318yes—
306#14556573C2318yes—
307#14556573C2318yescomplemented
308#14556572C2318yes—
309#14556572C2318yes—
310#14556572C2318yes—
311#14556572C2318yes—
312#14556571C2318yescomplemented
313#14556571C2318yescomplemented
314#14556570C2318yes—
315#14556570C2318yes—
316#14556570C2318yes—
317#14556570C2318yes—
318#14556570C2318yes—
319#14556570C2318yes—
320#14556570C2318yescomplemented
321#14556570C2318yescomplemented
322#14556569C2318yescomplemented
323#14556569C2318yescomplemented
324#14556568C2318yes—
325#14556568C2318yes—
326#14556568C2318yes—
327#14556568C2318yes—
328#14556568C2318yes—
329#14556568C2318yes—
330#14556568C2318yes—
331#14556568C2318yes—
332#14556568C2318yes—
333#14556568C2318yes—
334#14556568C2318yes—
335#14556568C2318yes—
336#14556568C2318yes—
337#14556568C2318yescomplemented
338#14556568C2318yescomplemented
339#14556568C2318yescomplemented
340#14556567C2318yescomplemented
341#14556563C2318yes—
342#14556563C2318yes—
343#14556562C2318yes—
344#14556560C2318yes—
345Q8×Dic73C2318yescomplemented
346C4×Dic146C2318yescomplemented
347C4×Dic146C2318yescomplemented
348C4×Dic146C2318yescomplemented
349C4×Dic146C2318yescomplemented
350C4×Dic146C2318yescomplemented
351C4×Dic146C2318yescomplemented
352#14556556C2318yescomplemented
353#14556556C2318yescomplemented
354D4×Dic73C2318yes—
355D4×Dic73C2318yes—
356D4×Dic73C2318yes—
357C4×C22⋊D73C2318yes—
358C4×C22⋊D73C2318yes—
359#14556551C2318yes—
360#14556551C2318yes—
361#14556551C2318yes—
362#14556551C2318yescomplemented
363#14556550C2318yes—
364#14556550C2318yes—
365#14556549C2318yescomplemented
366#14556548C2318yescomplemented
367#14556547C2318yes—
368#14556547C2318yes—
369#14556547C2318yes—
370#14556547C2318yes—
371#14556547C2318yescomplemented
372#14556547C2318yescomplemented
373C2×C4⋊Dic73C2311yescharacteristic
374C2×C4⋊Dic73C2311yescharacteristic
375C2×C4⋊Dic73C2311yescharacteristic
376C2×C4⋊Dic73C2311yescharacteristic
377C2×C4⋊Dic73C2311yescharacteristic
378C2×C4⋊Dic73C2311yescharacteristic
379C2×C4⋊Dic73C2311yescharacteristic
380C2×C4⋊Dic73C2311yescharacteristic
381C2×C4⋊Dic73C2311yescharacteristic
382C2×C4⋊Dic73C2311yescharacteristic
383C2×C4⋊Dic73C2311yescharacteristic
384C2×C4⋊Dic73C2318yes—
385C2×C4⋊Dic73C2311yescharacteristic
386C2×C4⋊Dic73C2311yescharacteristic
387C2×C4⋊Dic73C2311yescharacteristic
388C2×C4⋊Dic73C2311yescharacteristic
389C2×C4⋊Dic73C2311yescharacteristic
390C2×C4⋊Dic73C2311yescharacteristic
391C2×C4⋊Dic73C2311yescharacteristic
392C2×C4⋊Dic73C2318yescomplemented
393C2×#11924007C2311yescharacteristic
394C2×#11924007C2311yescharacteristic
395C2×#11924007C2311yescharacteristic
396C2×#11924007C2311yescharacteristic
397C2×#11924007C2311yescharacteristic
398C2×#11924007C2311yescharacteristic
399C2×#11924007C2311yescharacteristic
400C2×#11924007C2311yescharacteristic
401C2×#11924007C2311yescharacteristic
402C2×#11924007C2311yescharacteristic
403C2×#11924007C2311yescharacteristic
404C2×#11924007C2311yescharacteristic
405C2×#11924007C2311yescharacteristic
406C2×#11924007C2311yescharacteristic
407C2×#11924007C2311yescharacteristic
408C2×#11924007C2311yescharacteristic
409C2×#11924007C2318yes—
410C2×#11924007C2318yes—
411C2×#11924007C2311yescharacteristic
412C2×#11924007C2311yescharacteristic
413C2×#11924007C2311yescharacteristic
414C2×#11924007C2311yescharacteristic
415C2×#11924007C2311yescharacteristic
416C2×#11924007C2311yescharacteristic
417C2×#11924007C2311yescharacteristic
418C2×#11924007C2311yescharacteristic
419C2×#11924007C2311yescharacteristic
420C2×#11924007C2311yescharacteristic
421C2×#11924007C2311yescharacteristic
422C2×#11924007C2311yescharacteristic
423C2×#11924007C2311yescharacteristic
424C2×#11924007C2311yescharacteristic
425C2×#11924007C2311yescharacteristic
426C2×#11924007C2311yescharacteristic
427C2×#11924007C2311yescharacteristic
428C2×#11924007C2311yescharacteristic
429C2×#11924007C2311yescharacteristic
430C2×#11924007C2311yescharacteristic
431C4⋊C4×D73C2318yescomplemented
432C2×C22⋊Dic73C2318yes—
433C2×C22⋊Dic73C2318yes—
434C2×C22⋊Dic73C2318yes—
435C2×C22⋊Dic73C2311yescharacteristic
436C2×C22⋊Dic73C2311yescharacteristic
437C2×C22⋊Dic73C2311yescharacteristic
438C2×C22⋊Dic73C2311yescharacteristic
439C2×C22⋊Dic73C2311yescharacteristic
440C2×C22⋊Dic73C2311yescharacteristic
441C2×C22⋊Dic73C2311yescharacteristic
442C2×C22⋊Dic73C2311yescharacteristic
443C2×C22⋊Dic73C2311yescharacteristic
444C2×C22⋊Dic73C2311yescharacteristic
445C2×C22⋊Dic73C2311yescharacteristic
446C2×C22⋊Dic73C2311yescharacteristic
447C2×C22⋊Dic73C2311yescharacteristic
448C2×C22⋊Dic73C2311yescharacteristic
449C2×C22⋊Dic73C2311yescharacteristic
450C2×C22⋊Dic73C2311yescharacteristic
451C2×C22⋊Dic73C2311yescharacteristic
452C2×C22⋊Dic73C2311yescharacteristic
453C2×C22⋊Dic73C2311yescharacteristic
454C2×C22⋊Dic73C2311yescharacteristic
455C2×#11924005C2311yescharacteristic
456C2×#11924005C2311yescharacteristic
457C2×#11924005C2311yescharacteristic
458C2×#11924005C2311yescharacteristic
459C2×#11924005C2311yescharacteristic
460C2×#11924005C2311yescharacteristic
461C2×#11924005C2311yescharacteristic
462C2×#11924005C2311yescharacteristic
463C2×C4×Dic73C2311yescharacteristic
464C2×C4×Dic73C2311yescharacteristic
465C2×C4×Dic73C2311yescharacteristic
466C2×C4×Dic73C2311yescharacteristic
467C2×C4×Dic73C2311yescharacteristic
468C2×C4×Dic73C2311yescharacteristic
469C2×C4×Dic73C2318yes—
470C2×C4×Dic73C2311yescharacteristic
471C2×C4×Dic73C2311yescharacteristic
472C2×C4×Dic73C2311yescharacteristic
473C2×C4×Dic73C2311yescharacteristic
474C2×C4×Dic73C2311yescharacteristic
475C2×C4×Dic73C2311yescharacteristic
476C2×C4×Dic73C2311yescharacteristic
477C2×C4×Dic73C2311yescharacteristic
478C2×C4×Dic73C2311yescharacteristic
479C25×C73C2311yescharacteristic
480C22×Q8×C73C2311yescharacteristic
481C22×D4×C73C2311yescharacteristic
482C22×D4×C73C2311yescharacteristic
483C22×D4×C73C2311yescharacteristic
484C23×C4×C73C2311yescharacteristic
485C23×C4×C73C2311yescharacteristic
486C23×C4×C73C2311yescharacteristic
487C23×C4×C73C2311yescharacteristic
488C23×C4×C73C2311yescharacteristic
489#126×C73C2318yes—
490#126×C73C2318yes—
491#124×C73C2318yes—
492#123×C73C2318yes—
493#123×C73C2318yes—
494#123×C73C2318yes—
495C22⋊Q8×C73C2318yes—
496C22⋊Q8×C73C2318yes—
497#120×C73C2318yes—
498C4×D4×C73C2318yes—
499C4×D4×C73C2318yes—
500#117×C73C2318yes—
501#117×C73C2318yes—
502C2×C4⋊C4×C73C2311yescharacteristic
503C2×C4⋊C4×C73C2311yescharacteristic
504C2×C4⋊C4×C73C2311yescharacteristic
505C2×C4⋊C4×C73C2311yescharacteristic
506C2×C4⋊C4×C73C2311yescharacteristic
507C2×C4⋊C4×C73C2311yescharacteristic
508C2×C4⋊C4×C73C2311yescharacteristic
509C2×C4⋊C4×C73C2311yescharacteristic
510C2×C22⋊C4×C73C2318yes—
511C2×C22⋊C4×C73C2311yescharacteristic
512C2×C22⋊C4×C73C2311yescharacteristic
513C2×C22⋊C4×C73C2318yes—
514C2×C22⋊C4×C73C2311yescharacteristic
515C2×C22⋊C4×C73C2311yescharacteristic
516C2×C22⋊C4×C73C2311yescharacteristic
517C2×C22⋊C4×C73C2311yescharacteristic
518C2×C22⋊C4×C73C2311yescharacteristic
519C2×C22⋊C4×C73C2311yescharacteristic
520C2×C22⋊C4×C73C2311yescharacteristic
521C2×C22⋊C4×C73C2311yescharacteristic
522C2×C22⋊C4×C73C2311yescharacteristic
523C2×C22⋊C4×C73C2311yescharacteristic
524C2×C22⋊C4×C73C2311yescharacteristic
525C2×C22⋊C4×C73C2311yescharacteristic
526C2×C42×C73C2311yescharacteristic
527C2×C42×C73C2311yescharacteristic
528C2×C42×C73C2311yescharacteristic
529C23×D73C2411yescharacteristic
530C2×Dic146—42no—
531C2×Dic146—42no—
532C2×Dic146—42no—
533C2×Dic146—42no—
534C2×Dic146—42no—
535C2×Dic146—42no—
536C2×Dic146—42no—
537C2×Dic146—42no—
538C2×Dic146C2414yes—
539C2×Dic146C2414yes—
540C2×Dic146C2414yes—
541C2×Dic146C2414yes—
542C2×Dic146C2414yes—
543C2×Dic146C2414yes—
544C2×Dic146C2414yes—
545C2×Dic146C2414yes—
546C2×C22⋊D73—24no—
547C2×C22⋊D73—42no—
548C2×C22⋊D73—42no—
549C2×C22⋊D73—42no—
550C2×C22⋊D73C2414yes—
551C2×C22⋊D73C2414yes—
552C2×C22⋊D73C2414yes—
553C2×C22⋊D73C2414yes—
554C22×Dic73—24no—
555C22×Dic73—42no—
556C22×Dic73—42no—
557C22×Dic73—42no—
558C22×Dic73—42no—
559C22×Dic73—42no—
560C22×Dic73—42no—
561C22×Dic73—42no—
562C22×Dic73C2411yescharacteristic
563C22×Dic73C2411yescharacteristic
564C22×Dic73C2411yescharacteristic
565C22×Dic73C2411yescharacteristic
566C22×Dic73C2411yescharacteristic
567C22×Dic73C2411yescharacteristic
568C22×Dic73C2411yescharacteristic
569C22×Dic73C2411yescharacteristic
570C22×Dic73C2411yescharacteristic
571C22×Dic73C2411yescharacteristic
572C22×Dic73C2411yescharacteristic
573C22×Dic73C2411yescharacteristic
574C22×Dic73C2411yescharacteristic
575C22×Dic73C2411yescharacteristic
576C22×Dic73C2411yescharacteristic
577C22×Dic73C2414yes—
578C22×Dic73C2414yes—
579C22×Dic73C2414yes—
580C22×Dic73C2414yes—
581C22×Dic73C2414yes—
582C22×Dic73C2414yes—
583C22×Dic73C2414yes—
584C22×Dic73C2414yes—
585C2×C4×D73—42no—
586C2×C4×D73—42no—
587C2×C4×D73—42no—
588C2×C4×D73C2414yes—
589C2×C4×D73C2414yes—
590C2×C4×D73C2414yes—
591C4⋊Dic73C2414yes—
592C4⋊Dic73C2414yes—
593C4⋊Dic73C2414yes—
594C4⋊Dic73C2414yes—
595C4⋊Dic73C2414yes—
596C4⋊Dic73C2414yes—
597C4⋊Dic73C2414yes—
598C4⋊Dic73C2414yes—
599C4⋊Dic73C2414yes—
600C4⋊Dic73C2414yes—
601C4⋊Dic73C2414yes—
602C4⋊Dic73C2414yes—
603C4⋊Dic73C2414yes—
604C4⋊Dic73C2414yes—
605C4⋊Dic73C2414yes—
606C4⋊Dic73C2414yes—
607C4⋊Dic73C2414yes—
608C4⋊Dic73C2414yes—
609#11924007C2414yes—
610#11924007C2414yes—
611#11924007C2414yes—
612#11924007C2414yes—
613#11924007C2414yes—
614#11924007C2414yes—
615#11924007C2414yes—
616#11924007C2414yes—
617#11924007C2414yes—
618#11924007C2414yes—
619#11924007C2414yes—
620#11924007C2414yes—
621#11924007C2414yes—
622#11924007C2414yes—
623#11924007C2414yes—
624#11924007C2414yes—
625#11924007C2414yes—
626#11924007C2414yes—
627#11924007C2414yes—
628#11924007C2414yes—
629#11924007C2414yes—
630#11924007C2414yes—
631#11924007C2414yes—
632#11924007C2414yes—
633#11924007C2414yes—
634#11924007C2414yes—
635#11924007C2414yes—
636#11924007C2414yes—
637#11924007C2414yes—
638#11924007C2414yes—
639#11924007C2414yes—
640#11924007C2414yes—
641#11924007C2414yes—
642#11924007C2414yes—
643#11924007C2414yes—
644#11924007C2414yes—
645C22⋊Dic73C2414yes—
646C22⋊Dic73C2414yes—
647C22⋊Dic73C2414yes—
648C22⋊Dic73C2414yes—
649C22⋊Dic73C2414yes—
650C22⋊Dic73C2414yes—
651C22⋊Dic73C2414yes—
652C22⋊Dic73C2414yes—
653C22⋊Dic73C2414yes—
654C22⋊Dic73C2414yes—
655C22⋊Dic73C2414yes—
656C22⋊Dic73C2414yes—
657C22⋊Dic73C2414yes—
658C22⋊Dic73C2414yes—
659C22⋊Dic73C2414yes—
660C22⋊Dic73C2414yes—
661C22⋊Dic73C2414yes—
662C22⋊Dic73C2414yes—
663C22⋊Dic73C2414yes—
664C22⋊Dic73C2414yes—
665#11924005C2414yes—
666#11924005C2414yes—
667#11924005C2414yes—
668#11924005C2414yes—
669#11924005C2414yes—
670#11924005C2414yes—
671#11924005C2414yes—
672#11924005C2414yes—
673C4×Dic73C2414yes—
674C4×Dic73C2414yes—
675C4×Dic73C2414yes—
676C4×Dic73C2414yes—
677C4×Dic73C2414yes—
678C4×Dic73C2414yes—
679C4×Dic73C2414yes—
680C4×Dic73C2414yes—
681C4×Dic73C2414yes—
682C4×Dic73C2414yes—
683C4×Dic73C2414yes—
684C4×Dic73C2414yes—
685C4×Dic73C2414yes—
686C4×Dic73C2414yes—
687C4×Dic73C2414yes—
688C24×C73—24no—
689C24×C73—42no—
690C24×C73—42no—
691C24×C73C2411yescharacteristic
692C24×C73C2411yescharacteristic
693C24×C73C2411yescharacteristic
694C24×C73C2411yescharacteristic
695C24×C73C2414yes—
696C2×Q8×C73—42no—
697C2×Q8×C73C2414yes—
698C2×D4×C73—24no—
699C2×D4×C73—42no—
700C2×D4×C73—42no—
701C2×D4×C73C2414yes—
702C2×D4×C73C2414yes—
703C2×D4×C73C2414yes—
704C22×C4×C73—24no—
705C22×C4×C73—42no—
706C22×C4×C73—42no—
707C22×C4×C73—42no—
708C22×C4×C73—42no—
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711C22×C4×C73C2411yescharacteristic
712C22×C4×C73C2411yescharacteristic
713C22×C4×C73C2411yescharacteristic
714C22×C4×C73C2411yescharacteristic
715C22×C4×C73C2411yescharacteristic
716C22×C4×C73C2411yescharacteristic
717C22×C4×C73C2411yescharacteristic
718C22×C4×C73C2411yescharacteristic
719C22×C4×C73C2411yescharacteristic
720C22×C4×C73C2414yes—
721C22×C4×C73C2414yes—
722C22×C4×C73C2414yes—
723C22×C4×C73C2414yes—
724C22×C4×C73C2414yes—
725C4⋊C4×C73C2414yes—
726C4⋊C4×C73C2414yes—
727C4⋊C4×C73C2414yes—
728C4⋊C4×C73C2414yes—
729C4⋊C4×C73C2414yes—
730C4⋊C4×C73C2414yes—
731C4⋊C4×C73C2414yes—
732C4⋊C4×C73C2414yes—
733C22⋊C4×C73C2414yes—
734C22⋊C4×C73C2414yes—
735C22⋊C4×C73C2414yes—
736C22⋊C4×C73C2414yes—
737C22⋊C4×C73C2414yes—
738C22⋊C4×C73C2414yes—
739C22⋊C4×C73C2414yes—
740C22⋊C4×C73C2414yes—
741C22⋊C4×C73C2414yes—
742C22⋊C4×C73C2414yes—
743C22⋊C4×C73C2414yes—
744C22⋊C4×C73C2414yes—
745C22⋊C4×C73C2414yes—
746C22⋊C4×C73C2414yes—
747C42×C73C2414yes—
748C42×C73C2414yes—
749C42×C73C2414yes—
750C23×C73—22no—
751C23×C73—22no—
752C23×C73—22no—
753C23×C73—22no—
754C23×C73—22no—
755C23×C73—22no—
756C23×C73—22no—
757C23×C73—22no—
758C23×C73—22no—
759C23×C73—22no—
760C23×C73—22no—
761C23×C73—28no—
762C23×C73—44no—
763C23×C73—44no—
764C23×C73—88no—
765C23×C732−1+414yes—
766C23×C73C2512yes—
767C23×C73C2512yes—
768C23×C73C2512yes—
769C23×C73C2512yes—
770C23×C73C2511yescharacteristic
771C22×D73—22no—
772C22×D73—22no—
773C22×D73—22no—
774C22×D73C2512yes—
775Q8×C73—44no—
776D4×C73—28no—
777D4×C73—44no—
778D4×C73—44no—
779C2×C4×C73—28no—
780C2×C4×C73—22no—
781C2×C4×C73—22no—
782C2×C4×C73—22no—
783C2×C4×C73—22no—
784C2×C4×C73—22no—
785C2×C4×C73—22no—
786C2×C4×C73—22no—
787C2×C4×C73—22no—
788C2×C4×C73—22no—
789C2×C4×C73—22no—
790C2×C4×C73—22no—
791C2×C4×C73—44no—
792C2×C4×C73—44no—
793C2×C4×C73—44no—
794C2×C4×C73—44no—
795C2×C4×C73C2512yes—
796C2×C4×C73C2512yes—
797C2×C4×C73C2512yes—
798C2×C4×C73C2512yes—
799C2×C4×C73C2512yes—
800C2×C4×C73C2512yes—
801C2×C4×C73C2512yes—
802C2×C4×C73C2512yes—
803C2×C4×C73C2512yes—
804C2×C4×C73C2512yes—
805C2×C4×C73C2512yes—
806C22⋊D73—28no—
807C22⋊D73—44no—
808C22⋊D73—44no—
809C22⋊D73—44no—
810C2×Dic73—28no—
811C2×Dic73—22no—
812C2×Dic73—22no—
813C2×Dic73—22no—
814C2×Dic73—22no—
815C2×Dic73—22no—
816C2×Dic73—22no—
817C2×Dic73—22no—
818C2×Dic73—22no—
819C2×Dic73—22no—
820C2×Dic73—22no—
821C2×Dic73—22no—
822C2×Dic73—22no—
823C2×Dic73—22no—
824C2×Dic73—22no—
825C2×Dic73—22no—
826C2×Dic73—44no—
827C2×Dic73—44no—
828C2×Dic73—44no—
829C2×Dic73—44no—
830C2×Dic73—44no—
831C2×Dic73—44no—
832C2×Dic73—44no—
833C2×Dic73C2512yes—
834C2×Dic73C2512yes—
835C2×Dic73C2512yes—
836C2×Dic73C2512yes—
837C2×Dic73C2512yes—
838C2×Dic73C2512yes—
839C2×Dic73C2512yes—
840C2×Dic73C2512yes—
841C2×Dic73C2512yes—
842C2×Dic73C2512yes—
843C2×Dic73C2512yes—
844C2×Dic73C2512yes—
845C2×Dic73C2512yes—
846C2×Dic73C2512yes—
847C2×Dic73C2512yes—
848C4×D73—44no—
849C4×D73—44no—
850C4×D73—44no—
851Dic146—44no—
852Dic146—44no—
853Dic146—44no—
854Dic146—44no—
855Dic146—44no—
856Dic146—44no—
857Dic146—44no—
858Dic146—44no—
859C22×C73—22no—
860C22×C73—22no—
861C22×C73—28no—
862C22×C73—22no—
863C22×C73—22no—
864C22×C73—22no—
865C22×C73—22no—
866C22×C73—22no—
867C22×C73—22no—
868C22×C73—22no—
869C22×C73—22no—
870C22×C73—22no—
871C22×C73—44no—
872C22×C73—44no—
873C22×C73—44no—
874C22×C73—88no—
875C22×C73C2×2−1+414yes—
876C22×C73C2×2−1+412yes—
877C22×C73#58512yes—
878C22×C73#58512yes—
879C22×C73C2611yescharacteristic
880C2×D73—22no—
881C2×D73—22no—
882C2×D73—22no—
883C2×D73—44no—
884C4×C73—22no—
885C4×C73—22no—
886C4×C73—22no—
887C4×C73—22no—
888C4×C73—22no—
889C4×C73—22no—
890C4×C73—22no—
891C4×C73—22no—
892C4×C73—22no—
893C4×C73—22no—
894C4×C73—22no—
895Dic73—22no—
896Dic73—22no—
897Dic73—22no—
898Dic73—22no—
899Dic73—22no—
900Dic73—22no—
901Dic73—22no—
902Dic73—22no—
903Dic73—22no—
904Dic73—22no—
905Dic73—22no—
906Dic73—22no—
907Dic73—22no—
908Dic73—22no—
909Dic73—22no—
910C2×#3564—731nomaximal, Sylow
911C2×C73—24no—
912C2×C73—42no—
913C2×C73—42no—
914C2×C73—42no—
915C2×C73#356414yescomplemented
916C2×C73C22×2−1+411yescharacteristic
917C2×C73C2×#58511yescharacteristic
918C2×C73C2×#58511yescharacteristic
919D73—42no—
920#3564—7332no—
921C2×#563—731no—
922C2×#563—731no—
923C2×#563—731no—
924C2×#563—731no—
925C2×#556—731no—
926C2×#556—731no—
927C2×#554—731no—
928C2×#554—731no—
929C2×#552—731no—
930C2×#552—731no—
931C2×#552—731no—
932C2×#552—731no—
933C2×#551—731no—
934C2×#551—731no—
935C2×#551—731no—
936C2×#551D7311yescharacteristic, complemented
937C2×#544—731no—
938C2×#543—731no—
939C2×#542—731no—
940C2×#542—731no—
941C2×#541—731no—
942C2×#541—731no—
943C2×#541—731no—
944C2×#541—731no—
945C2×#539—731no—
946C2×#539—731no—
947C2×#539—731no—
948C2×#538—731no—
949C2×#533—731no—
950C2×#529—731no—
951C22×#126—731no—
952C73C2×#356411yescharacteristic, complemented, Sylow
953#563—7316no—
954#563—7316no—
955#563—7316no—
956#563—7316no—
957#556—7316no—
958#556—7316no—
959#554—7316no—
960#554—7316no—
961#552—7316no—
962#552—7316no—
963#552—7316no—
964#552—7316no—
965#551—7316no—
966#551—7316no—
967#551—7316no—
968#551C2×D73116yescomplemented
969#544—7316no—
970#543—7316no—
971#542—7316no—
972#542—7316no—
973#541—7316no—
974#541—7316no—
975#541—7316no—
976#541—7316no—
977#539—7316no—
978#539—7316no—
979#539—7316no—
980#538—7316no—
981#533—7316no—
982C2×C4⋊Q8—731no—
983C2×C4⋊Q8—731no—
984C2×C4⋊Q8—731no—
985C2×C4⋊Q8—731no—
986C2×C4⋊Q8—731no—
987C2×C4⋊Q8—731no—
988C2×C4⋊Q8—731no—
989C2×C4⋊Q8—731no—
990#529—7316no—
991C2×#126—731no—
992C2×#126—731no—
993C2×#126—731no—
994C2×#126—731no—
995C2×#126—731no—
996C2×#126—731no—
997C2×#126—731no—
998C2×#126—731no—
999C2×#126—731no—
1000C2×#126—731no—
1001C2×#126—7316no—
1002C2×#126—731no—
1003C2×#126—731no—
1004C2×#126—731no—
1005C2×#126—731no—
1006C2×#126—731no—
1007C2×#126—731no—
1008C2×#126—731no—
1009C2×#126—731no—
1010C2×#126—731no—
1011C2×#126—731no—
1012C2×#126—731no—
1013C2×#126—731no—
1014C2×#126—731no—
1015C2×#126—731no—
1016C2×#126C2×D7311yescharacteristic
1017C2×#126C2×D7311yescharacteristic
1018C2×#125—731no—
1019C2×#125—731no—
1020C2×#125—731no—
1021C2×#125—731no—
1022C2×#125—731no—
1023C2×#125—731no—
1024C2×#125—731no—
1025C2×#125—731no—
1026C2×#125—731no—
1027C2×#125—731no—
1028C2×#125—731no—
1029C2×#125—731no—
1030C2×#125—731no—
1031C2×#125—731no—
1032C2×#125—731no—
1033C2×#125—731no—
1034C2×#125—731no—
1035C2×#125—731no—
1036C2×#125—731no—
1037C2×#124—731no—
1038C2×#124—731no—
1039C2×#124—731no—
1040C2×#124—731no—
1041C2×#124—731no—
1042C2×#124—731no—
1043C2×#124C2×D7311yescharacteristic
1044C2×#123—731no—
1045C2×#123—731no—
1046C2×#123—731no—
1047C2×#123—731no—
1048C2×#123—731no—
1049C2×#123—731no—
1050C2×#123—731no—
1051C2×#123—731no—
1052C2×#123—731no—
1053C2×#123—731no—
1054C2×#123—731no—
1055C2×#123—731no—
1056C2×#123—731no—
1057C2×#123C2×D7311yescharacteristic
1058C2×#123C2×D7311yescharacteristic
1059C2×#123C2×D7311yescharacteristic
1060C2×C22⋊Q8—731no—
1061C2×C22⋊Q8—731no—
1062C2×C22⋊Q8—731no—
1063C2×C22⋊Q8—731no—
1064C2×C22⋊Q8—731no—
1065C2×C22⋊Q8—731no—
1066C2×C22⋊Q8—731no—
1067C2×C22⋊Q8—731no—
1068C2×C22⋊Q8—731no—
1069C2×C22⋊Q8—731no—
1070C2×C22⋊Q8—731no—
1071C2×C22⋊Q8—731no—
1072C2×C22⋊Q8—731no—
1073C2×C22⋊Q8—731no—
1074C2×C22⋊Q8—731no—
1075C2×C22⋊Q8—731no—
1076C2×C22⋊Q8—731no—
1077C2×C22⋊Q8—731no—
1078C2×C22⋊Q8—731no—
1079C2×C22⋊Q8—731no—
1080C2×C22⋊Q8—731no—
1081C2×C22⋊Q8—731no—
1082C2×C22⋊Q8—731no—
1083C2×C22⋊Q8—731no—
1084C2×C22⋊Q8—731no—
1085C2×C22⋊Q8—731no—
1086C2×C22⋊Q8—731no—
1087C2×C22⋊Q8—731no—
1088C2×C22⋊Q8—731no—
1089C2×C22⋊Q8C2×D7311yescharacteristic
1090C2×C22⋊Q8C2×D7311yescharacteristic
1091C2×#121—731no—
1092C2×#121—731no—
1093C2×#121—731no—
1094C2×#120—731no—
1095C2×#120C2×D7311yescharacteristic
1096C2×C4×Q8—731no—
1097C2×C4×Q8—731no—
1098C2×C4×Q8—731no—
1099C2×C4×Q8—731no—
1100C2×C4×Q8—731no—
1101C2×C4×Q8—731no—
1102C2×C4×Q8—731no—
1103C2×C4×Q8—731no—
1104C2×C4×Q8—731no—
1105C2×C4×D4—731no—
1106C2×C4×D4—731no—
1107C2×C4×D4—731no—
1108C2×C4×D4—731no—
1109C2×C4×D4—731no—
1110C2×C4×D4—731no—
1111C2×C4×D4—731no—
1112C2×C4×D4—731no—
1113C2×C4×D4—731no—
1114C2×C4×D4C2×D7311yescharacteristic
1115C2×C4×D4C2×D7311yescharacteristic
1116C2×#117—731no—
1117C2×#117—731no—
1118C2×#117—731no—
1119C2×#117—731no—
1120C2×#117—731no—
1121C2×#117—731no—
1122C2×#117—731no—
1123C2×#117—731no—
1124C2×#117—731no—
1125C2×#117—731no—
1126C2×#117C2×D7311yescharacteristic
1127C2×#117C2×D7311yescharacteristic
1128C22×C4⋊C4—731no—
1129C22×C4⋊C4—731no—
1130C22×C4⋊C4—731no—
1131C22×C4⋊C4—731no—
1132C22×C4⋊C4—731no—
1133C22×C22⋊C4—731no—
1134C22×C22⋊C4—731no—
1135C22×C22⋊C4—731no—
1136C22×C22⋊C4C2×D7311yescharacteristic
1137C22×C22⋊C4C2×D7311yescharacteristic
1138C22×C42—731no—
1139C25C22×D7311yescharacteristic
1140C22×Q8—731no—
1141C22×Q8—731no—
1142C22×Q8—731no—
1143C22×Q8—731no—
1144C22×Q8—731no—
1145C22×Q8—731no—
1146C22×Q8—731no—
1147C22×Q8—731no—
1148C22×Q8C22×D7311yescharacteristic
1149C22×D4—731no—
1150C22×D4—731no—
1151C22×D4—731no—
1152C22×D4—731no—
1153C22×D4C22×D7311yescharacteristic
1154C22×D4C22×D7311yescharacteristic
1155C22×D4C22×D7311yescharacteristic
1156C23×C4—731no—
1157C23×C4—731no—
1158C23×C4—731no—
1159C23×C4—731no—
1160C23×C4—731no—
1161C23×C4—731no—
1162C23×C4—731no—
1163C23×C4—731no—
1164C23×C4—731no—
1165C23×C4—731no—
1166C23×C4—731no—
1167C23×C4C22×D7311yescharacteristic
1168C23×C4C22×D7311yescharacteristic
1169C23×C4C22×D7311yescharacteristic
1170C23×C4C22×D7311yescharacteristic
1171C23×C4C22×D7311yescharacteristic
1172C4⋊Q8—738no—
1173C4⋊Q8—738no—
1174C4⋊Q8—738no—
1175C4⋊Q8—738no—
1176C4⋊Q8—738no—
1177C4⋊Q8—738no—
1178C4⋊Q8—738no—
1179C4⋊Q8—738no—
1180#126—738no—
1181#126—738no—
1182#126—738no—
1183#126—738no—
1184#126—738no—
1185#126—738no—
1186#126—738no—
1187#126—738no—
1188#126—738no—
1189#126—738no—
1190#126—738no—
1191#126—738no—
1192#126—738no—
1193#126—738no—
1194#126—738no—
1195#126—738no—
1196#126—738no—
1197#126—738no—
1198#126—738no—
1199#126—738no—
1200#126—738no—
1201#126—738no—
1202#126—738no—
1203#126—738no—
1204#126C22×D7318yes—
1205#126C22×D7318yes—
1206#125—738no—
1207#125—738no—
1208#125—738no—
1209#125—738no—
1210#125—738no—
1211#125—738no—
1212#125—738no—
1213#125—738no—
1214#125—738no—
1215#125—738no—
1216#125—738no—
1217#125—738no—
1218#125—738no—
1219#125—738no—
1220#125—738no—
1221#125—738no—
1222#125—738no—
1223#125—738no—
1224#125—738no—
1225#124—738no—
1226#124—738no—
1227#124—738no—
1228#124—738no—
1229#124—738no—
1230#124—738no—
1231#124C22×D7318yes—
1232#123—738no—
1233#123—738no—
1234#123—738no—
1235#123—738no—
1236#123—738no—
1237#123—738no—
1238#123—738no—
1239#123—738no—
1240#123—738no—
1241#123—738no—
1242#123—738no—
1243#123—738no—
1244#123—738no—
1245#123C22×D7318yes—
1246#123C22×D7318yes—
1247#123C22×D7318yes—
1248C22⋊Q8—738no—
1249C22⋊Q8—738no—
1250C22⋊Q8—738no—
1251C22⋊Q8—738no—
1252C22⋊Q8—738no—
1253C22⋊Q8—738no—
1254C22⋊Q8—738no—
1255C22⋊Q8—738no—
1256C22⋊Q8—738no—
1257C22⋊Q8—738no—
1258C22⋊Q8—738no—
1259C22⋊Q8—738no—
1260C22⋊Q8—738no—
1261C22⋊Q8—738no—
1262C22⋊Q8—738no—
1263C22⋊Q8—738no—
1264C22⋊Q8—738no—
1265C22⋊Q8—738no—
1266C22⋊Q8—738no—
1267C22⋊Q8—738no—
1268C22⋊Q8—738no—
1269C22⋊Q8—738no—
1270C22⋊Q8—738no—
1271C22⋊Q8—738no—
1272C22⋊Q8—738no—
1273C22⋊Q8—738no—
1274C22⋊Q8—738no—
1275C22⋊Q8—738no—
1276C22⋊Q8—738no—
1277C22⋊Q8C22×D7318yes—
1278C22⋊Q8C22×D7318yes—
1279#121—738no—
1280#121—738no—
1281#121—738no—
1282#120—738no—
1283#120C22×D7318yes—
1284C4×Q8—738no—
1285C4×Q8—738no—
1286C4×Q8—738no—
1287C4×Q8—738no—
1288C4×Q8—738no—
1289C4×Q8—738no—
1290C4×Q8—738no—
1291C4×Q8—738no—
1292C4×Q8—738no—
1293C4×D4—738no—
1294C4×D4—738no—
1295C4×D4—738no—
1296C4×D4—738no—
1297C4×D4—738no—
1298C4×D4—738no—
1299C4×D4—738no—
1300C4×D4—738no—
1301C4×D4—738no—
1302C4×D4C22×D7318yes—
1303C4×D4C22×D7318yes—
1304#117—738no—
1305#117—738no—
1306#117—738no—
1307#117—738no—
1308#117—738no—
1309#117—738no—
1310#117—738no—
1311#117—738no—
1312#117—738no—
1313#117—738no—
1314#117C22×D7318yes—
1315#117C22×D7318yes—
1316C2×C4⋊C4—731no—
1317C2×C4⋊C4—731no—
1318C2×C4⋊C4—731no—
1319C2×C4⋊C4—731no—
1320C2×C4⋊C4—731no—
1321C2×C4⋊C4—731no—
1322C2×C4⋊C4—731no—
1323C2×C4⋊C4—731no—
1324C2×C4⋊C4—731no—
1325C2×C4⋊C4—731no—
1326C2×C4⋊C4—731no—
1327C2×C4⋊C4—731no—
1328C2×C4⋊C4—731no—
1329C2×C4⋊C4—731no—
1330C2×C4⋊C4—731no—
1331C2×C4⋊C4—731no—
1332C2×C4⋊C4—731no—
1333C2×C4⋊C4—738no—
1334C2×C4⋊C4—738no—
1335C2×C4⋊C4—738no—
1336C2×C4⋊C4—738no—
1337C2×C4⋊C4—731no—
1338C2×C4⋊C4—731no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—731no—
1341C2×C4⋊C4—731no—
1342C2×C4⋊C4—731no—
1343C2×C4⋊C4—731no—
1344C2×C4⋊C4—731no—
1345C2×C4⋊C4—731no—
1346C2×C4⋊C4—731no—
1347C2×C4⋊C4—731no—
1348C2×C4⋊C4—731no—
1349C2×C4⋊C4—731no—
1350C2×C4⋊C4—731no—
1351C2×C4⋊C4—731no—
1352C2×C4⋊C4—731no—
1353C2×C4⋊C4—731no—
1354C2×C4⋊C4—731no—
1355C2×C4⋊C4—731no—
1356C2×C4⋊C4—731no—
1357C2×C4⋊C4—731no—
1358C2×C4⋊C4—731no—
1359C2×C4⋊C4—731no—
1360C2×C4⋊C4—731no—
1361C2×C4⋊C4—731no—
1362C2×C4⋊C4—731no—
1363C2×C4⋊C4—731no—
1364C2×C4⋊C4—731no—
1365C2×C4⋊C4—731no—
1366C2×C4⋊C4—731no—
1367C2×C4⋊C4—731no—
1368C2×C4⋊C4—731no—
1369C2×C4⋊C4—731no—
1370C2×C4⋊C4—731no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—738no—
1375C2×C4⋊C4C22×D7311yescharacteristic
1376C2×C4⋊C4C22×D7311yescharacteristic
1377C2×C4⋊C4C22×D7311yescharacteristic
1378C2×C4⋊C4C22×D7311yescharacteristic
1379C2×C4⋊C4C22×D7311yescharacteristic
1380C2×C4⋊C4C22×D7311yescharacteristic
1381C2×C4⋊C4C22×D7311yescharacteristic
1382C2×C4⋊C4C22×D7311yescharacteristic
1383C2×C22⋊C4—731no—
1384C2×C22⋊C4—731no—
1385C2×C22⋊C4—731no—
1386C2×C22⋊C4—731no—
1387C2×C22⋊C4—731no—
1388C2×C22⋊C4—731no—
1389C2×C22⋊C4—731no—
1390C2×C22⋊C4—731no—
1391C2×C22⋊C4—731no—
1392C2×C22⋊C4—731no—
1393C2×C22⋊C4—731no—
1394C2×C22⋊C4—731no—
1395C2×C22⋊C4—738no—
1396C2×C22⋊C4—738no—
1397C2×C22⋊C4—738no—
1398C2×C22⋊C4—731no—
1399C2×C22⋊C4—731no—
1400C2×C22⋊C4—731no—
1401C2×C22⋊C4—731no—
1402C2×C22⋊C4—731no—
1403C2×C22⋊C4—731no—
1404C2×C22⋊C4—731no—
1405C2×C22⋊C4—731no—
1406C2×C22⋊C4—731no—
1407C2×C22⋊C4—731no—
1408C2×C22⋊C4—731no—
1409C2×C22⋊C4—731no—
1410C2×C22⋊C4—731no—
1411C2×C22⋊C4—731no—
1412C2×C22⋊C4—731no—
1413C2×C22⋊C4—731no—
1414C2×C22⋊C4C22×D7311yescharacteristic
1415C2×C22⋊C4C22×D7311yescharacteristic
1416C2×C22⋊C4C22×D7311yescharacteristic
1417C2×C22⋊C4C22×D7311yescharacteristic
1418C2×C22⋊C4C22×D7311yescharacteristic
1419C2×C22⋊C4C22×D7311yescharacteristic
1420C2×C22⋊C4C22×D7311yescharacteristic
1421C2×C22⋊C4C22×D7311yescharacteristic
1422C2×C22⋊C4C22×D7318yes—
1423C2×C22⋊C4C22×D7318yes—
1424C2×C22⋊C4C22×D7311yescharacteristic
1425C2×C22⋊C4C22×D7311yescharacteristic
1426C2×C22⋊C4C22×D7311yescharacteristic
1427C2×C22⋊C4C22×D7311yescharacteristic
1428C2×C22⋊C4C22×D7311yescharacteristic
1429C2×C22⋊C4C22×D7311yescharacteristic
1430C2×C42—731no—
1431C2×C42—731no—
1432C2×C42—731no—
1433C2×C42—731no—
1434C2×C42—731no—
1435C2×C42—731no—
1436C2×C42—731no—
1437C2×C42—731no—
1438C2×C42—731no—
1439C2×C42—731no—
1440C2×C42—731no—
1441C2×C42—731no—
1442C2×C42—731no—
1443C2×C42—731no—
1444C2×C42—731no—
1445C2×C42—738no—
1446C2×C42C22×D7311yescharacteristic
1447C2×C42C22×D7311yescharacteristic
1448C2×C42C22×D7311yescharacteristic
1449C24—24no—
1450C24—42no—
1451C24—42no—
1452C24—731no—
1453C24C23×D7311yescharacteristic
1454C24C23×D7311yescharacteristic
1455C24C23×D7311yescharacteristic
1456C24C23×D7311yescharacteristic
1457C24C23×D7314yes—
1458C2×Q8—42no—
1459C2×Q8—2922no—
1460C2×Q8—2922no—
1461C2×Q8—2922no—
1462C2×Q8—2922no—
1463C2×Q8—2922no—
1464C2×Q8—2922no—
1465C2×Q8—2922no—
1466C2×Q8—2922no—
1467C2×Q8—734no—
1468C2×Q8—734no—
1469C2×Q8—734no—
1470C2×Q8—734no—
1471C2×Q8—734no—
1472C2×Q8—734no—
1473C2×Q8—734no—
1474C2×Q8—734no—
1475C2×Q8C23×D7314yes—
1476C2×D4—24no—
1477C2×D4—42no—
1478C2×D4—42no—
1479C2×D4—2922no—
1480C2×D4—2922no—
1481C2×D4—2922no—
1482C2×D4—734no—
1483C2×D4—734no—
1484C2×D4—734no—
1485C2×D4—734no—
1486C2×D4—1464no—
1487C2×D4C23×D7314yes—
1488C2×D4C23×D7314yes—
1489C2×D4C23×D7314yes—
1490C22×C4—24no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—2922no—
1496C22×C4—2922no—
1497C22×C4—2922no—
1498C22×C4—2922no—
1499C22×C4—2922no—
1500C22×C4—2922no—
1501C22×C4—2922no—
1502C22×C4—2922no—
1503C22×C4—2922no—
1504C22×C4—2922no—
1505C22×C4—734no—
1506C22×C4—734no—
1507C22×C4—734no—
1508C22×C4—734no—
1509C22×C4—734no—
1510C22×C4—734no—
1511C22×C4—734no—
1512C22×C4—734no—
1513C22×C4—734no—
1514C22×C4—734no—
1515C22×C4—734no—
1516C22×C4—731no—
1517C22×C4—731no—
1518C22×C4—731no—
1519C22×C4—731no—
1520C22×C4—731no—
1521C22×C4—731no—
1522C22×C4—731no—
1523C22×C4—731no—
1524C22×C4—731no—
1525C22×C4—731no—
1526C22×C4—731no—
1527C22×C4—731no—
1528C22×C4—731no—
1529C22×C4—731no—
1530C22×C4—731no—
1531C22×C4—1464no—
1532C22×C4C23×D7314yes—
1533C22×C4C23×D7311yescharacteristic
1534C22×C4C23×D7311yescharacteristic
1535C22×C4C23×D7311yescharacteristic
1536C22×C4C23×D7311yescharacteristic
1537C22×C4C23×D7311yescharacteristic
1538C22×C4C23×D7311yescharacteristic
1539C22×C4C23×D7311yescharacteristic
1540C22×C4C23×D7311yescharacteristic
1541C22×C4C23×D7311yescharacteristic
1542C22×C4C23×D7311yescharacteristic
1543C22×C4C23×D7311yescharacteristic
1544C22×C4C23×D7314yes—
1545C22×C4C23×D7314yes—
1546C22×C4C23×D7314yes—
1547C22×C4C23×D7314yes—
1548C4⋊C4—734no—
1549C4⋊C4—734no—
1550C4⋊C4—734no—
1551C4⋊C4—734no—
1552C4⋊C4—734no—
1553C4⋊C4—734no—
1554C4⋊C4—734no—
1555C4⋊C4—734no—
1556C4⋊C4—734no—
1557C4⋊C4—734no—
1558C4⋊C4—734no—
1559C4⋊C4—734no—
1560C4⋊C4—734no—
1561C4⋊C4—734no—
1562C4⋊C4—734no—
1563C4⋊C4—734no—
1564C4⋊C4—734no—
1565C4⋊C4—734no—
1566C4⋊C4—734no—
1567C4⋊C4—734no—
1568C4⋊C4—734no—
1569C4⋊C4—734no—
1570C4⋊C4—734no—
1571C4⋊C4—734no—
1572C4⋊C4—734no—
1573C4⋊C4—734no—
1574C4⋊C4—734no—
1575C4⋊C4—734no—
1576C4⋊C4—734no—
1577C4⋊C4—734no—
1578C4⋊C4—734no—
1579C4⋊C4—734no—
1580C4⋊C4—734no—
1581C4⋊C4—734no—
1582C4⋊C4—734no—
1583C4⋊C4—734no—
1584C4⋊C4—734no—
1585C4⋊C4—734no—
1586C4⋊C4—734no—
1587C4⋊C4—734no—
1588C4⋊C4—734no—
1589C4⋊C4—734no—
1590C4⋊C4—734no—
1591C4⋊C4—734no—
1592C4⋊C4—734no—
1593C4⋊C4—734no—
1594C4⋊C4—734no—
1595C4⋊C4—734no—
1596C4⋊C4—734no—
1597C4⋊C4—734no—
1598C4⋊C4—734no—
1599C4⋊C4—734no—
1600C4⋊C4—734no—
1601C4⋊C4—734no—
1602C4⋊C4C23×D7314yes—
1603C4⋊C4C23×D7314yes—
1604C4⋊C4C23×D7314yes—
1605C4⋊C4C23×D7314yes—
1606C4⋊C4C23×D7314yes—
1607C4⋊C4C23×D7314yes—
1608C4⋊C4C23×D7314yes—
1609C4⋊C4C23×D7314yes—
1610C22⋊C4—734no—
1611C22⋊C4—734no—
1612C22⋊C4—734no—
1613C22⋊C4—734no—
1614C22⋊C4—734no—
1615C22⋊C4—734no—
1616C22⋊C4—734no—
1617C22⋊C4—734no—
1618C22⋊C4—734no—
1619C22⋊C4—734no—
1620C22⋊C4—734no—
1621C22⋊C4—734no—
1622C22⋊C4—734no—
1623C22⋊C4—734no—
1624C22⋊C4—734no—
1625C22⋊C4—734no—
1626C22⋊C4—734no—
1627C22⋊C4—734no—
1628C22⋊C4—734no—
1629C22⋊C4—734no—
1630C22⋊C4—734no—
1631C22⋊C4—734no—
1632C22⋊C4—734no—
1633C22⋊C4—734no—
1634C22⋊C4—734no—
1635C22⋊C4—734no—
1636C22⋊C4—734no—
1637C22⋊C4—734no—
1638C22⋊C4C23×D7314yes—
1639C22⋊C4C23×D7314yes—
1640C22⋊C4C23×D7314yes—
1641C22⋊C4C23×D7314yes—
1642C22⋊C4C23×D7314yes—
1643C22⋊C4C23×D7314yes—
1644C22⋊C4C23×D7314yes—
1645C22⋊C4C23×D7314yes—
1646C22⋊C4C23×D7314yes—
1647C22⋊C4C23×D7314yes—
1648C22⋊C4C23×D7314yes—
1649C22⋊C4C23×D7314yes—
1650C22⋊C4C23×D7314yes—
1651C22⋊C4C23×D7314yes—
1652C42—734no—
1653C42—734no—
1654C42—734no—
1655C42—734no—
1656C42—734no—
1657C42—734no—
1658C42—734no—
1659C42—734no—
1660C42—734no—
1661C42—734no—
1662C42—734no—
1663C42—734no—
1664C42—734no—
1665C42—734no—
1666C42—734no—
1667C42C23×D7314yes—
1668C42C23×D7314yes—
1669C42C23×D7314yes—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—28no—
1682C23—44no—
1683C23—44no—
1684C23—88no—
1685C23—732no—
1686C23—1462no—
1687C23—1462no—
1688C23—1462no—
1689C23#1455663814yes—
1690C23C24×D7312yes—
1691C23C24×D7312yes—
1692C23C24×D7312yes—
1693C23C24×D7312yes—
1694C23C24×D7311yescharacteristic
1695Q8—44no—
1696Q8—2924no—
1697Q8—2924no—
1698Q8—2924no—
1699Q8—2924no—
1700Q8—2924no—
1701Q8—2924no—
1702Q8—2924no—
1703Q8—2924no—
1704D4—28no—
1705D4—44no—
1706D4—44no—
1707D4—2924no—
1708D4—2924no—
1709D4—2924no—
1710D4—1468no—
1711C2×C4—28no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—2924no—
1728C2×C4—2924no—
1729C2×C4—2924no—
1730C2×C4—2924no—
1731C2×C4—2924no—
1732C2×C4—2924no—
1733C2×C4—2924no—
1734C2×C4—2924no—
1735C2×C4—2924no—
1736C2×C4—2924no—
1737C2×C4—732no—
1738C2×C4—732no—
1739C2×C4—732no—
1740C2×C4—732no—
1741C2×C4—732no—
1742C2×C4—732no—
1743C2×C4—732no—
1744C2×C4—732no—
1745C2×C4—732no—
1746C2×C4—732no—
1747C2×C4—732no—
1748C2×C4—732no—
1749C2×C4—732no—
1750C2×C4—732no—
1751C2×C4—732no—
1752C2×C4—1468no—
1753C2×C4—1462no—
1754C2×C4—1462no—
1755C2×C4—1462no—
1756C2×C4—1462no—
1757C2×C4—1462no—
1758C2×C4—1462no—
1759C2×C4—1462no—
1760C2×C4—1462no—
1761C2×C4—1462no—
1762C2×C4—1462no—
1763C2×C4—1462no—
1764C2×C4—1462no—
1765C2×C4—1462no—
1766C2×C4—1462no—
1767C2×C4—1462no—
1768C2×C4C24×D7312yes—
1769C2×C4C24×D7312yes—
1770C2×C4C24×D7312yes—
1771C2×C4C24×D7312yes—
1772C2×C4C24×D7312yes—
1773C2×C4C24×D7312yes—
1774C2×C4C24×D7312yes—
1775C2×C4C24×D7312yes—
1776C2×C4C24×D7312yes—
1777C2×C4C24×D7312yes—
1778C2×C4C24×D7312yes—
1779C22—28no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—44no—
1792C22—44no—
1793C22—44no—
1794C22—88no—
1795C22—2924no—
1796C22—1462no—
1797C22—1462no—
1798C22—1462no—
1799C22C2×#1455663814yes—
1800C22C2×#1455663812yes—
1801C22#1798942212yes—
1802C22#1798942312yes—
1803C22C25×D7311yescharacteristic
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—22no—
1815C4—1462no—
1816C4—1462no—
1817C4—1462no—
1818C4—1462no—
1819C4—1462no—
1820C4—1462no—
1821C4—1462no—
1822C4—1462no—
1823C4—1462no—
1824C4—1462no—
1825C4—1462no—
1826C4—1462no—
1827C4—1462no—
1828C4—1462no—
1829C4—1462no—
1830C2—24no—
1831C2—42no—
1832C2—42no—
1833C2—42no—
1834C2—2922no—
1835C2#2262454314yesdirect product factor
1836C2C22×#1455663811yescharacteristic
1837C2C2×#1798942211yescharacteristic
1838C2C2×#1798942311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#551×C73C2
socleC23×C73C25
prime radicalC2×#17989172C2
hypercenterC2×#551D73
hypocenterC73C2×#3564
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #22624543C2direct (N × H)
2. C2×#17989340C2semidirect
3. C2×#17989340C2semidirect
4. C2×#17989339C2semidirect
5. C2×#17989338C2semidirect
6. C2×#17989306C2semidirect
7. C2×#17989305C2semidirect
8. C2×#17989295C2semidirect
9. C2×#17989294C2semidirect
10. C2×#17989277C2semidirect
11. C2×#17989274C2semidirect
12. C2×#17989273C2semidirect
13. C2×#17989270C2semidirect
14. C2×#17989268C2semidirect
15. C2×#17989263C2semidirect
16. C2×#17989263C2semidirect
17. C2×#17989216C2semidirect
18. C2×#17989213C2semidirect
19. C2×#17989202C2semidirect
20. C2×#17989201C2semidirect
21. C2×#17989199C2semidirect
22. C2×#17989197C2semidirect
23. C2×#17989194C2semidirect
24. C2×#17989194C2semidirect
25. C2×#17989181C2semidirect
26. C2×#17989180C2semidirect
27. C2×#17989179C2semidirect
29. C2×#17989140C2semidirect
30. C2×#17989114C2semidirect
31. C22×#14556584C2semidirect
32. C2×#551×C73C2semidirect
33. #17989340C22semidirect
34. #17989340C22semidirect
35. #17989339C22semidirect
36. #17989338C22semidirect
37. #17989306C22semidirect
38. #17989305C22semidirect
39. #17989295C22semidirect
40. #17989294C22semidirect
41. #17989277C22semidirect
42. #17989274C22semidirect
43. #17989273C22semidirect
44. #17989270C22semidirect
45. #17989268C22semidirect
46. #17989263C22semidirect
47. #17989263C22semidirect
48. #17989216C22semidirect
49. #17989213C22semidirect
50. #17989202C22semidirect
51. #17989201C22semidirect
52. #17989199C22semidirect
53. #17989197C22semidirect
54. #17989194C22semidirect
55. #17989194C22semidirect
56. #17989181C22semidirect
57. #17989180C22semidirect
58. #17989179C22semidirect
60. #17989140C22semidirect
61. C2×#14556591C22semidirect
62. C2×#14556590C22semidirect
63. C2×#14556590C22semidirect
64. C2×#14556590C22semidirect
65. C2×#14556590C22semidirect
66. C2×#14556590C22semidirect
67. C2×#14556589C22semidirect
68. C2×#14556589C22semidirect
69. #17989114C22semidirect
70. C2×#14556586C22semidirect
71. C2×#14556586C22semidirect
72. C2×#14556585C22semidirect
73. C2×#14556585C22semidirect
90. C2×#14556584C22semidirect
91. C2×#14556584C22semidirect
92. C2×#14556584C22semidirect
93. C2×#14556584C22semidirect
94. C2×#14556584C22semidirect
95. C2×#14556583C22semidirect
96. C2×#14556583C22semidirect
97. C2×#14556582C22semidirect
98. C2×#14556582C22semidirect
99. C2×#14556582C22semidirect
100. C2×#14556582C22semidirect
101. C2×#14556582C22semidirect
102. C2×#14556581C22semidirect
103. C2×#14556581C22semidirect
104. C2×#14556581C22semidirect
105. C2×#14556581C22semidirect
106. C2×#14556581C22semidirect
107. C2×#14556581C22semidirect
108. C2×#14556581C22semidirect
109. C2×#14556581C22semidirect
110. C2×#14556581C22semidirect
111. C2×#14556581C22semidirect
112. C2×#14556581C22semidirect
113. C2×#14556581C22semidirect
119. C2×#14556577C22semidirect
124. C2×#14556574C22semidirect
128. C2×#14556573C22semidirect
133. C2×#14556571C22semidirect
134. C2×#14556571C22semidirect
141. C2×#14556570C22semidirect
142. C2×#14556570C22semidirect
143. C2×#14556569C22semidirect
144. C2×#14556569C22semidirect
158. C2×#14556568C22semidirect
159. C2×#14556568C22semidirect
160. C2×#14556568C22semidirect
161. C2×#14556567C22semidirect
166. C2×Q8×Dic73C22semidirect
167. C2×C4×Dic146C22semidirect
168. C2×C4×Dic146C22semidirect
169. C2×C4×Dic146C22semidirect
170. C2×C4×Dic146C22semidirect
171. C2×C4×Dic146C22semidirect
172. C2×C4×Dic146C22semidirect
173. C2×#14556556C22semidirect
174. C2×#14556556C22semidirect
183. C2×#14556551C22semidirect
186. C2×#14556549C22semidirect
187. C2×#14556548C22semidirect
192. C2×#14556547C22semidirect
193. C2×#14556547C22semidirect
195. C22×C4⋊Dic73C22semidirect
198. C2×C4⋊C4×D73C22semidirect
203. #551×C73C22semidirect
242. #14556591C23semidirect
243. #14556590C23semidirect
244. #14556590C23semidirect
245. #14556590C23semidirect
246. #14556590C23semidirect
247. #14556590C23semidirect
248. #14556589C23semidirect
249. #14556589C23semidirect
250. #14556586C23semidirect
251. #14556586C23semidirect
252. #14556585C23semidirect
253. #14556585C23semidirect
270. #14556584C23semidirect
271. #14556584C23semidirect
272. #14556584C23semidirect
273. #14556584C23semidirect
274. #14556583C23semidirect
275. #14556583C23semidirect
276. #14556582C23semidirect
277. #14556582C23semidirect
278. #14556582C23semidirect
279. #14556582C23semidirect
280. #14556582C23semidirect
281. #14556581C23semidirect
282. #14556581C23semidirect
283. #14556581C23semidirect
284. #14556581C23semidirect
285. #14556581C23semidirect
286. #14556581C23semidirect
287. #14556581C23semidirect
288. #14556581C23semidirect
289. #14556581C23semidirect
290. #14556581C23semidirect
291. #14556581C23semidirect
292. #14556581C23semidirect
298. #14556577C23semidirect
303. #14556574C23semidirect
307. #14556573C23semidirect
312. #14556571C23semidirect
313. #14556571C23semidirect
320. #14556570C23semidirect
321. #14556570C23semidirect
322. #14556569C23semidirect
323. #14556569C23semidirect
337. #14556568C23semidirect
338. #14556568C23semidirect
339. #14556568C23semidirect
340. #14556567C23semidirect
345. Q8×Dic73C23semidirect
346. C4×Dic146C23semidirect
347. C4×Dic146C23semidirect
348. C4×Dic146C23semidirect
349. C4×Dic146C23semidirect
350. C4×Dic146C23semidirect
351. C4×Dic146C23semidirect
352. #14556556C23semidirect
353. #14556556C23semidirect
362. #14556551C23semidirect
365. #14556549C23semidirect
366. #14556548C23semidirect
371. #14556547C23semidirect
372. #14556547C23semidirect
392. C2×C4⋊Dic73C23semidirect
431. C4⋊C4×D73C23semidirect
915. C2×C73#3564semidirect
936. C2×#551D73semidirect
952. C73C2×#3564semidirect
968. #551C2×D73semidirect
1835. C2#22624543direct (N × H)

Maximal subgroups

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

subgroupindex
#226245432
C2×#179893402
C2×#179893392
C2×#179893382
C2×#179893062
C2×#179893052
C2×#179892952
C2×#179892942
C2×#179892772
C2×#179892742
C2×#179892732
C2×#179892702
C2×#179892682
C2×#179892632
C2×#179892162
C2×#179892132
C2×#179892022
C2×#179892012
C2×#179891992
C2×#179891972
C2×#179891942
C2×#179891812
C2×#179891802
C2×#179891792
C2×#179891722
C2×#179891402
C2×#179891142
C22×#145565842
C2×#551×C732
C2×#356473