Finite Group Databasebeta

← C2×#22624484 #33993405

Subgroups — C2×#22624484 #33993405

Order 18688.

7398 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624484C2132yesmaximal, direct product factor
2C2×#17989341C211yesmaximal, characteristic, complemented
3C2×#17989338C211yesmaximal, characteristic, complemented
4C2×#17989327C211yesmaximal, characteristic, complemented
5C2×#17989325C211yesmaximal, characteristic, complemented
6C2×#17989290C211yesmaximal, characteristic, complemented
7C2×#17989287C211yesmaximal, characteristic, complemented
8C2×#17989285C211yesmaximal, characteristic, complemented
9C2×#17989282C211yesmaximal, characteristic, complemented
10C2×#17989265C211yesmaximal, characteristic, complemented
11C2×#17989264C211yesmaximal, characteristic, complemented
12C2×#17989239C211yesmaximal, characteristic, complemented
13C2×#17989238C211yesmaximal, characteristic, complemented
14C2×#17989234C211yesmaximal, characteristic, complemented
15C2×#17989233C211yesmaximal, characteristic, complemented
16C2×#17989229C211yesmaximal, characteristic, complemented
17C2×#17989228C211yesmaximal, characteristic, complemented
18C2×#17989207C211yesmaximal, characteristic, complemented
19C2×#17989205C211yesmaximal, characteristic, complemented
20C2×#17989185C211yesmaximal, characteristic, complemented
21C2×#17989178C211yesmaximal, characteristic, complemented
22C2×#17989176C211yesmaximal, characteristic, complemented
23C2×#17989176C211yesmaximal, characteristic, complemented
24C2×#17989173C211yesmaximal, characteristic, complemented
25C2×#17989173C211yesmaximal, characteristic, complemented
26C2×#17989170C211yesmaximal, characteristic, complemented
27C2×#17989167C211yesmaximal, characteristic, complemented
28C2×#17989148C211yesmaximal, characteristic, complemented
29C2×#17989134C211yesmaximal, characteristic, complemented
30C2×#17989122C211yesmaximal, characteristic, complemented
31C2×#126×D73C211yesmaximal, characteristic, complemented
32C2×#539×C73C211yesmaximal, characteristic, complemented
33C22×#11924029C2211yescharacteristic, complemented
34C22×#11924028C2211yescharacteristic, complemented
35C22×#11924028C2211yescharacteristic, complemented
36C22×#11924028C2211yescharacteristic, complemented
37C23×D292C2211yescharacteristic
38C22×D4×D73C2211yescharacteristic
39#17989341C22116yescomplemented
40#17989338C22116yescomplemented
41#17989327C22116yescomplemented
42#17989325C22116yescomplemented
43#17989290C22116yescomplemented
44#17989287C22116yescomplemented
45#17989285C22116yescomplemented
46#17989282C22116yescomplemented
47#17989265C22116yescomplemented
48#17989264C22116yescomplemented
49#17989239C22116yescomplemented
50#17989238C22116yescomplemented
51#17989234C22116yescomplemented
52#17989233C22116yescomplemented
53#17989229C22116yescomplemented
54#17989228C22116yescomplemented
55#17989207C22116yescomplemented
56#17989205C22116yescomplemented
57#17989185C22116yescomplemented
58#17989178C22116yescomplemented
59#17989176C22116yescomplemented
60#17989176C22116yescomplemented
61#17989173C22116yescomplemented
62#17989173C22116yescomplemented
63#17989170C22116yescomplemented
64#17989167C22116yescomplemented
65#17989148C22116yescomplemented
66#17989134C22116yescomplemented
67C2×#14556590C2211yescharacteristic, complemented
68C2×#14556590C2211yescharacteristic, complemented
69C2×#14556589C2211yescharacteristic, complemented
70C2×#14556587C2211yescharacteristic, complemented
71#17989122C22116yescomplemented
72C2×#14556586C2211yescharacteristic, complemented
73C2×#14556586C2211yescharacteristic, complemented
74C2×#14556586C2211yescharacteristic, complemented
75C2×#14556586C2211yescharacteristic, complemented
76C2×#14556586C2211yescharacteristic, complemented
77C2×#14556586C2211yescharacteristic, complemented
78C2×#14556586C2211yescharacteristic, complemented
79C2×#14556586C2211yescharacteristic, complemented
80C2×#14556586C2211yescharacteristic, complemented
81C2×#14556586C2211yescharacteristic, complemented
82C2×#14556585C2211yescharacteristic, complemented
83C2×#14556584C2211yescharacteristic, complemented
84C2×#14556584C2211yescharacteristic, complemented
85C2×#14556584C2211yescharacteristic, complemented
86C2×#14556584C2211yescharacteristic, complemented
87C2×#14556584C2211yescharacteristic, complemented
88#126×D73C22116yescomplemented
89C2×#14556583C2211yescharacteristic, complemented
90C2×#14556582C2211yescharacteristic, complemented
91C2×#14556581C2211yescharacteristic, complemented
92C2×#14556580C2211yescharacteristic
93C2×#14556579C2211yescharacteristic
94C2×#14556579C2211yescharacteristic, complemented
95C2×#14556578C2211yescharacteristic
96C2×#14556577C2211yescharacteristic
97C2×#14556577C2211yescharacteristic, complemented
98C2×#14556577C2211yescharacteristic, complemented
99C2×#14556577C2211yescharacteristic, complemented
100C2×#14556577C2211yescharacteristic, complemented
101C2×#14556576C2211yescharacteristic
102C2×#14556576C2211yescharacteristic
103C2×#14556576C2211yescharacteristic
104C2×#14556576C2211yescharacteristic
105C2×#14556576C2211yescharacteristic, complemented
106C2×#14556576C2211yescharacteristic, complemented
107C2×#14556576C2211yescharacteristic, complemented
108C2×#14556576C2211yescharacteristic, complemented
109C2×#14556576C2211yescharacteristic, complemented
110C2×#14556576C2211yescharacteristic, complemented
111C2×#14556576C2211yescharacteristic, complemented
112C2×#14556575C2211yescharacteristic, complemented
113C2×#14556574C2211yescharacteristic
114C2×#14556574C2211yescharacteristic, complemented
115C2×#14556574C2211yescharacteristic, complemented
116C2×#14556573C2211yescharacteristic
117C2×#14556573C2211yescharacteristic, complemented
118C2×#14556573C2211yescharacteristic, complemented
119C2×#14556573C2211yescharacteristic, complemented
120C2×#14556573C2211yescharacteristic, complemented
121C2×#14556571C2211yescharacteristic, complemented
122C2×#14556571C2211yescharacteristic, complemented
123C2×#14556571C2211yescharacteristic, complemented
124C2×#14556570C2211yescharacteristic, complemented
125C2×#14556569C2211yescharacteristic, complemented
126C2×#14556569C2211yescharacteristic, complemented
127C2×#14556569C2211yescharacteristic, complemented
128C2×#14556569C2211yescharacteristic, complemented
129C2×#14556569C2211yescharacteristic, complemented
130C2×#14556569C2211yescharacteristic, complemented
131C2×#14556568C2211yescharacteristic, complemented
132C2×#14556567C2211yescharacteristic, complemented
133C2×#14556566C2211yescharacteristic
134C2×#14556566C2211yescharacteristic
135C2×#14556566C2211yescharacteristic
136C2×#14556566C2211yescharacteristic
137C2×#14556566C2211yescharacteristic, complemented
138C2×#14556566C2211yescharacteristic, complemented
139C2×#14556566C2211yescharacteristic, complemented
140C2×#14556566C2211yescharacteristic, complemented
141C2×#14556565C2211yescharacteristic
142C2×#14556565C2211yescharacteristic, complemented
143C2×#14556565C2211yescharacteristic, complemented
144C2×#14556565C2211yescharacteristic, complemented
145C2×#14556564C2211yescharacteristic
146C2×#14556564C2211yescharacteristic
147C2×#14556564C2211yescharacteristic
148C2×#14556564C2211yescharacteristic
149C2×#14556564C2211yescharacteristic, complemented
150C2×#14556564C2211yescharacteristic, complemented
151C2×#14556564C2211yescharacteristic, complemented
152C2×#14556564C2211yescharacteristic, complemented
153C2×#14556564C2211yescharacteristic, complemented
154C2×#14556563C2211yescharacteristic
155C2×#14556563C2211yescharacteristic, complemented
156C2×#14556562C2211yescharacteristic
157C2×#14556562C2211yescharacteristic, complemented
158C2×#14556562C2211yescharacteristic, complemented
159C2×#14556561C2211yescharacteristic
160C2×#14556561C2211yescharacteristic
161C2×#14556561C2211yescharacteristic
162C2×#14556561C2211yescharacteristic
163C2×#14556561C2211yescharacteristic, complemented
164C2×#14556561C2211yescharacteristic, complemented
165C2×#14556559C2211yescharacteristic
166C2×#14556559C2211yescharacteristic
167C2×#14556559C2211yescharacteristic, complemented
168C2×#14556559C2211yescharacteristic, complemented
169C2×#14556556C2211yescharacteristic, complemented
170C2×C4×D292C2211yescharacteristic, complemented
171C2×C4×D292C2211yescharacteristic, complemented
172C2×C4×D292C2211yescharacteristic, complemented
173C2×#14556553C2211yescharacteristic, complemented
174C2×#14556553C2211yescharacteristic, complemented
175C2×#14556553C2211yescharacteristic, complemented
176C2×#14556553C2211yescharacteristic, complemented
177C2×#14556553C2211yescharacteristic, complemented
178C2×#14556553C2211yescharacteristic, complemented
179C2×C4×C22⋊D73C2211yescharacteristic, complemented
180C2×C4×C22⋊D73C2211yescharacteristic, complemented
181C2×C4×C22⋊D73C2211yescharacteristic, complemented
182C2×C4×C22⋊D73C2211yescharacteristic, complemented
183C2×C4×C22⋊D73C2211yescharacteristic, complemented
184C2×C4×C22⋊D73C2211yescharacteristic, complemented
185C2×C4×C22⋊D73C2211yescharacteristic, complemented
186C2×#14556551C2211yescharacteristic, complemented
187C2×#14556549C2211yescharacteristic, complemented
188C2×#14556549C2211yescharacteristic, complemented
189C2×#14556549C2211yescharacteristic, complemented
190C2×#14556547C2211yescharacteristic, complemented
191C2×C4⋊C4×D73C2211yescharacteristic, complemented
192C2×C4⋊C4×D73C2211yescharacteristic, complemented
193C2×C4⋊C4×D73C2211yescharacteristic, complemented
194C2×C4⋊C4×D73C2211yescharacteristic, complemented
195C22×#11924005C2211yescharacteristic, complemented
196C2×C22⋊C4×D73C2211yescharacteristic
197C2×C22⋊C4×D73C2211yescharacteristic
198C2×C22⋊C4×D73C2211yescharacteristic
199C2×C22⋊C4×D73C2211yescharacteristic, complemented
200C2×C22⋊C4×D73C2211yescharacteristic, complemented
201C2×C22⋊C4×D73C2211yescharacteristic, complemented
202C2×C42×D73C2211yescharacteristic, complemented
203#539×C73C22116yescomplemented
204C2×#126×C73C2211yescharacteristic, complemented
205C2×#126×C73C2211yescharacteristic, complemented
206C2×#125×C73C2211yescharacteristic, complemented
207C2×#125×C73C2211yescharacteristic, complemented
208C2×#123×C73C2211yescharacteristic
209C2×#123×C73C2211yescharacteristic
210C2×#123×C73C2211yescharacteristic, complemented
211C2×#123×C73C2211yescharacteristic, complemented
212C2×C22⋊Q8×C73C2211yescharacteristic, complemented
213C2×C22⋊Q8×C73C2211yescharacteristic, complemented
214C2×C22⋊Q8×C73C2211yescharacteristic, complemented
215C2×#121×C73C2211yescharacteristic
216C2×C4×D4×C73C2211yescharacteristic, complemented
217C2×C4×D4×C73C2211yescharacteristic, complemented
218C22×C4⋊C4×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C24×D73C2311yescharacteristic
221C24×D73C2311yescharacteristic
222C2×#11924029—44no—
223C2×#11924029C2318yescomplemented
224C2×#11924028—44no—
225C2×#11924028—44no—
226C2×#11924028—44no—
227C2×#11924028C2318yescomplemented
228C2×#11924028C2318yescomplemented
229C2×#11924028C2318yescomplemented
230C22×Dic146C2311yescharacteristic
231C22×Dic146C2311yescharacteristic
232C22×Dic146C2311yescharacteristic
233C22×Dic146C2311yescharacteristic
234C22×D292—44no—
235C22×D292C2311yescharacteristic
236C22×D292C2311yescharacteristic
237C22×D292C2311yescharacteristic
238C22×D292C2311yescharacteristic
239C22×D292C2311yescharacteristic
240C22×D292C2318yes—
241C22×D292C2311yescharacteristic
242C22×D292C2311yescharacteristic
243C22×D292C2311yescharacteristic
244C22×D292C2311yescharacteristic
245C22×D292C2311yescharacteristic
246C22×D292C2311yescharacteristic
247C22×D292C2311yescharacteristic
248C22×C22⋊D73C2311yescharacteristic
249C22×C22⋊D73C2311yescharacteristic
250C22×C22⋊D73C2311yescharacteristic
251C22×C22⋊D73C2311yescharacteristic
252C22×C22⋊D73C2311yescharacteristic
253C22×C22⋊D73C2311yescharacteristic
254C22×C22⋊D73C2311yescharacteristic
255C22×C22⋊D73C2311yescharacteristic
256C22×C22⋊D73C2311yescharacteristic
257C22×C22⋊D73C2311yescharacteristic
258C22×C22⋊D73C2311yescharacteristic
259C22×C22⋊D73C2311yescharacteristic
260C2×D4×D73—44no—
261C2×D4×D73C2318yes—
262C23×Dic73C2311yescharacteristic
263C22×C4×D73C2311yescharacteristic
264C22×C4×D73C2311yescharacteristic
265C22×C4×D73C2311yescharacteristic
266C22×C4×D73C2311yescharacteristic
267C22×C4×D73C2311yescharacteristic
268C22×C4×D73C2311yescharacteristic
269C22×C4×D73C2311yescharacteristic
270C22×C4×D73C2311yescharacteristic
271C22×C4×D73C2311yescharacteristic
272C22×C4×D73C2311yescharacteristic
273C22×C4×D73C2311yescharacteristic
274C22×C4×D73C2311yescharacteristic
275C22×C4×D73C2311yescharacteristic
276C22×C4×D73C2311yescharacteristic
277C22×C4×D73C2311yescharacteristic
278C22×C4×D73C2311yescharacteristic
279#14556590C2318yescomplemented
280#14556590C2318yescomplemented
281#14556589C2318yescomplemented
282#14556587C2318yescomplemented
283#14556586C2318yescomplemented
284#14556586C2318yescomplemented
285#14556586C2318yescomplemented
286#14556586C2318yescomplemented
287#14556586C2318yescomplemented
288#14556586C2318yescomplemented
289#14556586C2318yescomplemented
290#14556586C2318yescomplemented
291#14556586C2318yescomplemented
292#14556586C2318yescomplemented
293#14556585C2318yescomplemented
294#14556584C2318yescomplemented
295#14556584C2318yescomplemented
296#14556584C2318yescomplemented
297#14556584C2318yescomplemented
298#14556584C2318yescomplemented
299#14556583C2318yescomplemented
300#14556582C2318yescomplemented
301#14556581C2318yescomplemented
302#14556580C2318yes—
303#14556579C2318yes—
304#14556579C2318yescomplemented
305#14556578C2318yes—
306#14556577C2318yes—
307#14556577C2318yescomplemented
308#14556577C2318yescomplemented
309#14556577C2318yescomplemented
310#14556577C2318yescomplemented
311#14556576C2318yes—
312#14556576C2318yes—
313#14556576C2318yes—
314#14556576C2318yes—
315#14556576C2318yescomplemented
316#14556576C2318yescomplemented
317#14556576C2318yescomplemented
318#14556576C2318yescomplemented
319#14556576C2318yescomplemented
320#14556576C2318yescomplemented
321#14556576C2318yescomplemented
322#14556575C2318yescomplemented
323#14556574C2318yes—
324#14556574C2318yescomplemented
325#14556574C2318yescomplemented
326#14556573C2318yes—
327#14556573C2318yescomplemented
328#14556573C2318yescomplemented
329#14556573C2318yescomplemented
330#14556573C2318yescomplemented
331#14556571C2318yescomplemented
332#14556571C2318yescomplemented
333#14556571C2318yescomplemented
334#14556570C2318yescomplemented
335#14556569C2318yescomplemented
336#14556569C2318yescomplemented
337#14556569C2318yescomplemented
338#14556569C2318yescomplemented
339#14556569C2318yescomplemented
340#14556569C2318yescomplemented
341#14556568C2318yescomplemented
342#14556567C2318yescomplemented
343#14556566C2318yes—
344#14556566C2318yes—
345#14556566C2318yes—
346#14556566C2318yes—
347#14556566C2318yescomplemented
348#14556566C2318yescomplemented
349#14556566C2318yescomplemented
350#14556566C2318yescomplemented
351#14556565C2318yes—
352#14556565C2318yescomplemented
353#14556565C2318yescomplemented
354#14556565C2318yescomplemented
355#14556564C2318yes—
356#14556564C2318yes—
357#14556564C2318yes—
358#14556564C2318yes—
359#14556564C2318yescomplemented
360#14556564C2318yescomplemented
361#14556564C2318yescomplemented
362#14556564C2318yescomplemented
363#14556564C2318yescomplemented
364#14556563C2318yes—
365#14556563C2318yescomplemented
366#14556562C2318yes—
367#14556562C2318yescomplemented
368#14556562C2318yescomplemented
369#14556561C2318yes—
370#14556561C2318yes—
371#14556561C2318yes—
372#14556561C2318yes—
373#14556561C2318yescomplemented
374#14556561C2318yescomplemented
375#14556559C2318yes—
376#14556559C2318yes—
377#14556559C2318yescomplemented
378#14556559C2318yescomplemented
379#14556556C2318yescomplemented
380C4×D292C2318yescomplemented
381C4×D292C2318yescomplemented
382C4×D292C2318yescomplemented
383#14556553C2318yescomplemented
384#14556553C2318yescomplemented
385#14556553C2318yescomplemented
386#14556553C2318yescomplemented
387#14556553C2318yescomplemented
388#14556553C2318yescomplemented
389C4×C22⋊D73C2318yescomplemented
390C4×C22⋊D73C2318yescomplemented
391C4×C22⋊D73C2318yescomplemented
392C4×C22⋊D73C2318yescomplemented
393C4×C22⋊D73C2318yescomplemented
394C4×C22⋊D73C2318yescomplemented
395C4×C22⋊D73C2318yescomplemented
396#14556551C2318yescomplemented
397#14556549C2318yescomplemented
398#14556549C2318yescomplemented
399#14556549C2318yescomplemented
400#14556547C2318yescomplemented
401C2×C4⋊Dic73C2311yescharacteristic
402C2×C4⋊Dic73C2311yescharacteristic
403C2×C4⋊Dic73C2311yescharacteristic
404C2×C4⋊Dic73C2311yescharacteristic
405C2×C4⋊Dic73C2311yescharacteristic
406C2×C4⋊Dic73C2311yescharacteristic
407C2×C4⋊Dic73C2311yescharacteristic
408C2×C4⋊Dic73C2311yescharacteristic
409C2×#11924007C2311yescharacteristic
410C2×#11924007C2311yescharacteristic
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
425C4⋊C4×D73C2318yescomplemented
426C4⋊C4×D73C2318yescomplemented
427C4⋊C4×D73C2318yescomplemented
428C4⋊C4×D73C2318yescomplemented
429C2×C22⋊Dic73C2311yescharacteristic
430C2×C22⋊Dic73C2311yescharacteristic
431C2×C22⋊Dic73C2311yescharacteristic
432C2×C22⋊Dic73C2311yescharacteristic
433C2×C22⋊Dic73C2311yescharacteristic
434C2×C22⋊Dic73C2311yescharacteristic
435C2×C22⋊Dic73C2311yescharacteristic
436C2×C22⋊Dic73C2311yescharacteristic
437C2×#11924005C2311yescharacteristic
438C2×#11924005C2311yescharacteristic
439C2×#11924005C2311yescharacteristic
440C2×#11924005C2311yescharacteristic
441C2×#11924005C2311yescharacteristic
442C2×#11924005C2311yescharacteristic
443C2×#11924005C2311yescharacteristic
444C2×#11924005C2311yescharacteristic
445C2×#11924005C2311yescharacteristic
446C2×#11924005C2311yescharacteristic
447C2×#11924005C2311yescharacteristic
448C2×#11924005C2311yescharacteristic
449C2×#11924005C2311yescharacteristic
450C2×#11924005C2311yescharacteristic
451C2×#11924005C2311yescharacteristic
452C2×#11924005C2311yescharacteristic
453C2×#11924005C2311yescharacteristic
454C2×#11924005C2311yescharacteristic
455C2×#11924005C2311yescharacteristic
456C2×#11924005C2311yescharacteristic
457C2×#11924005C2311yescharacteristic
458C2×#11924005C2311yescharacteristic
459C2×#11924005C2311yescharacteristic
460C2×#11924005C2311yescharacteristic
461C2×#11924005C2311yescharacteristic
462C2×#11924005C2311yescharacteristic
463C2×#11924005C2311yescharacteristic
464C2×#11924005C2311yescharacteristic
465C2×#11924005C2311yescharacteristic
466C2×#11924005C2311yescharacteristic
467C2×#11924005C2311yescharacteristic
468C2×#11924005C2311yescharacteristic
469C2×#11924005C2318yescomplemented
470C22⋊C4×D73C2318yes—
471C22⋊C4×D73C2318yes—
472C22⋊C4×D73C2318yes—
473C22⋊C4×D73C2318yescomplemented
474C22⋊C4×D73C2318yescomplemented
475C22⋊C4×D73C2318yescomplemented
476C2×C4×Dic73C2311yescharacteristic
477C2×C4×Dic73C2311yescharacteristic
478C2×C4×Dic73C2311yescharacteristic
479C2×C4×Dic73C2311yescharacteristic
480C2×C4×Dic73C2311yescharacteristic
481C2×C4×Dic73C2311yescharacteristic
482C2×C4×Dic73C2311yescharacteristic
483C2×C4×Dic73C2311yescharacteristic
484C42×D73C2318yescomplemented
485C22×Q8×C73C2311yescharacteristic
486C22×D4×C73C2311yescharacteristic
487C22×D4×C73C2311yescharacteristic
488C22×D4×C73C2311yescharacteristic
489C23×C4×C73C2311yescharacteristic
490C23×C4×C73C2311yescharacteristic
491C23×C4×C73C2311yescharacteristic
492C23×C4×C73C2311yescharacteristic
493C23×C4×C73C2311yescharacteristic
494#126×C73C2318yescomplemented
495#126×C73C2318yescomplemented
496#125×C73C2318yescomplemented
497#125×C73C2318yescomplemented
498#123×C73C2318yes—
499#123×C73C2318yes—
500#123×C73C2318yescomplemented
501#123×C73C2318yescomplemented
502C22⋊Q8×C73C2318yescomplemented
503C22⋊Q8×C73C2318yescomplemented
504C22⋊Q8×C73C2318yescomplemented
505#121×C73C2318yes—
506C4×D4×C73C2318yescomplemented
507C4×D4×C73C2318yescomplemented
508C2×C4⋊C4×C73C2311yescharacteristic
509C2×C4⋊C4×C73C2311yescharacteristic
510C2×C4⋊C4×C73C2311yescharacteristic
511C2×C4⋊C4×C73C2311yescharacteristic
512C2×C4⋊C4×C73C2311yescharacteristic
513C2×C4⋊C4×C73C2311yescharacteristic
514C2×C4⋊C4×C73C2311yescharacteristic
515C2×C4⋊C4×C73C2311yescharacteristic
516C2×C4⋊C4×C73C2311yescharacteristic
517C2×C4⋊C4×C73C2311yescharacteristic
518C2×C4⋊C4×C73C2311yescharacteristic
519C2×C4⋊C4×C73C2311yescharacteristic
520C2×C4⋊C4×C73C2311yescharacteristic
521C2×C4⋊C4×C73C2311yescharacteristic
522C2×C4⋊C4×C73C2318yescomplemented
523C2×C22⋊C4×C73C2311yescharacteristic
524C2×C22⋊C4×C73C2311yescharacteristic
525C2×C22⋊C4×C73C2311yescharacteristic
526C2×C22⋊C4×C73C2311yescharacteristic
527C2×C22⋊C4×C73C2311yescharacteristic
528C2×C22⋊C4×C73C2311yescharacteristic
529C2×C22⋊C4×C73C2311yescharacteristic
530C2×C22⋊C4×C73C2311yescharacteristic
531C2×C22⋊C4×C73C2311yescharacteristic
532C2×C22⋊C4×C73C2311yescharacteristic
533C2×C42×C73C2311yescharacteristic
534C2×C42×C73C2311yescharacteristic
535C23×D73—24no—
536C23×D73—42no—
537C23×D73—42no—
538C23×D73—42no—
539C23×D73—42no—
540C23×D73—42no—
541C23×D73—42no—
542C23×D73—42no—
543C23×D73—42no—
544C23×D73C2411yescharacteristic
545C23×D73C2411yescharacteristic
546C23×D73C2411yescharacteristic
547C23×D73C2411yescharacteristic
548C23×D73C2411yescharacteristic
549C23×D73C2411yescharacteristic
550C23×D73C2414yes—
551C23×D73C2414yes—
552C23×D73C2414yes—
553#11924029—416no—
554#11924028—416no—
555#11924028—416no—
556#11924028—416no—
557C2×Dic146—42no—
558C2×Dic146—42no—
559C2×Dic146—42no—
560C2×Dic146—42no—
561C2×Dic146C2414yes—
562C2×Dic146C2414yes—
563C2×Dic146C2414yes—
564C2×Dic146C2414yes—
565C2×D292—24no—
566C2×D292—24no—
567C2×D292—24no—
568C2×D292—24no—
569C2×D292—416no—
570C2×D292—42no—
571C2×D292—42no—
572C2×D292—42no—
573C2×D292—42no—
574C2×D292—42no—
575C2×D292—42no—
576C2×D292—42no—
577C2×D292—42no—
578C2×D292C2414yes—
579C2×D292C2414yes—
580C2×D292C2414yes—
581C2×D292C2414yes—
582C2×D292C2414yes—
583C2×D292C2414yes—
584C2×D292C2414yes—
585C2×D292C2414yes—
586C2×D292C2414yes—
587C2×D292C2414yes—
588C2×D292C2414yes—
589C2×D292C2414yes—
590C2×C22⋊D73—24no—
591C2×C22⋊D73—24no—
592C2×C22⋊D73—42no—
593C2×C22⋊D73—42no—
594C2×C22⋊D73—42no—
595C2×C22⋊D73—42no—
596C2×C22⋊D73—42no—
597C2×C22⋊D73—42no—
598C2×C22⋊D73—42no—
599C2×C22⋊D73—42no—
600C2×C22⋊D73—42no—
601C2×C22⋊D73—42no—
602C2×C22⋊D73C2414yes—
603C2×C22⋊D73C2414yes—
604C2×C22⋊D73C2414yes—
605C2×C22⋊D73C2414yes—
606C2×C22⋊D73C2414yes—
607C2×C22⋊D73C2414yes—
608C2×C22⋊D73C2414yes—
609C2×C22⋊D73C2414yes—
610C2×C22⋊D73C2414yes—
611C2×C22⋊D73C2414yes—
612C2×C22⋊D73C2414yes—
613C2×C22⋊D73C2414yes—
614D4×D73—416no—
615C22×Dic73—42no—
616C22×Dic73C2411yescharacteristic
617C22×Dic73C2411yescharacteristic
618C22×Dic73C2411yescharacteristic
619C22×Dic73C2411yescharacteristic
620C22×Dic73C2411yescharacteristic
621C22×Dic73C2411yescharacteristic
622C22×Dic73C2411yescharacteristic
623C22×Dic73C2411yescharacteristic
624C22×Dic73C2411yescharacteristic
625C22×Dic73C2411yescharacteristic
626C22×Dic73C2414yes—
627C2×C4×D73—24no—
628C2×C4×D73—24no—
629C2×C4×D73—42no—
630C2×C4×D73—42no—
631C2×C4×D73—42no—
632C2×C4×D73—42no—
633C2×C4×D73—42no—
634C2×C4×D73—42no—
635C2×C4×D73—42no—
636C2×C4×D73—42no—
637C2×C4×D73—42no—
638C2×C4×D73—42no—
639C2×C4×D73—42no—
640C2×C4×D73—42no—
641C2×C4×D73—42no—
642C2×C4×D73—42no—
643C2×C4×D73C2414yes—
644C2×C4×D73C2414yes—
645C2×C4×D73C2414yes—
646C2×C4×D73C2414yes—
647C2×C4×D73C2414yes—
648C2×C4×D73C2414yes—
649C2×C4×D73C2414yes—
650C2×C4×D73C2414yes—
651C2×C4×D73C2414yes—
652C2×C4×D73C2414yes—
653C2×C4×D73C2414yes—
654C2×C4×D73C2414yes—
655C2×C4×D73C2414yes—
656C2×C4×D73C2414yes—
657C2×C4×D73C2414yes—
658C2×C4×D73C2414yes—
659C4⋊Dic73C2414yes—
660C4⋊Dic73C2414yes—
661C4⋊Dic73C2414yes—
662C4⋊Dic73C2414yes—
663C4⋊Dic73C2414yes—
664C4⋊Dic73C2414yes—
665C4⋊Dic73C2414yes—
666C4⋊Dic73C2414yes—
667#11924007C2414yes—
668#11924007C2414yes—
669#11924007C2414yes—
670#11924007C2414yes—
671#11924007C2414yes—
672#11924007C2414yes—
673#11924007C2414yes—
674#11924007C2414yes—
675#11924007C2414yes—
676#11924007C2414yes—
677#11924007C2414yes—
678#11924007C2414yes—
679#11924007C2414yes—
680#11924007C2414yes—
681#11924007C2414yes—
682#11924007C2414yes—
683C22⋊Dic73C2414yes—
684C22⋊Dic73C2414yes—
685C22⋊Dic73C2414yes—
686C22⋊Dic73C2414yes—
687C22⋊Dic73C2414yes—
688C22⋊Dic73C2414yes—
689C22⋊Dic73C2414yes—
690C22⋊Dic73C2414yes—
691#11924005C2414yes—
692#11924005C2414yes—
693#11924005C2414yes—
694#11924005C2414yes—
695#11924005C2414yes—
696#11924005C2414yes—
697#11924005C2414yes—
698#11924005C2414yes—
699#11924005C2414yes—
700#11924005C2414yes—
701#11924005C2414yes—
702#11924005C2414yes—
703#11924005C2414yes—
704#11924005C2414yes—
705#11924005C2414yes—
706#11924005C2414yes—
707#11924005C2414yes—
708#11924005C2414yes—
709#11924005C2414yes—
710#11924005C2414yes—
711#11924005C2414yes—
712#11924005C2414yes—
713#11924005C2414yes—
714#11924005C2414yes—
715#11924005C2414yes—
716#11924005C2414yes—
717#11924005C2414yes—
718#11924005C2414yes—
719#11924005C2414yes—
720#11924005C2414yes—
721#11924005C2414yes—
722#11924005C2414yes—
723C4×Dic73C2414yes—
724C4×Dic73C2414yes—
725C4×Dic73C2414yes—
726C4×Dic73C2414yes—
727C4×Dic73C2414yes—
728C4×Dic73C2414yes—
729C4×Dic73C2414yes—
730C4×Dic73C2414yes—
731C24×C73C2411yescharacteristic
732C24×C73C2411yescharacteristic
733C24×C73C2411yescharacteristic
734C2×Q8×C73—42no—
735C2×Q8×C73C2414yes—
736C2×D4×C73—42no—
737C2×D4×C73—42no—
738C2×D4×C73—42no—
739C2×D4×C73C2414yes—
740C2×D4×C73C2414yes—
741C2×D4×C73C2414yes—
742C22×C4×C73—42no—
743C22×C4×C73—42no—
744C22×C4×C73—42no—
745C22×C4×C73—42no—
746C22×C4×C73—42no—
747C22×C4×C73C2411yescharacteristic
748C22×C4×C73C2411yescharacteristic
749C22×C4×C73C2411yescharacteristic
750C22×C4×C73C2411yescharacteristic
751C22×C4×C73C2411yescharacteristic
752C22×C4×C73C2411yescharacteristic
753C22×C4×C73C2411yescharacteristic
754C22×C4×C73C2411yescharacteristic
755C22×C4×C73C2411yescharacteristic
756C22×C4×C73C2411yescharacteristic
757C22×C4×C73C2411yescharacteristic
758C22×C4×C73C2411yescharacteristic
759C22×C4×C73C2414yes—
760C22×C4×C73C2414yes—
761C22×C4×C73C2414yes—
762C22×C4×C73C2414yes—
763C22×C4×C73C2414yes—
764C4⋊C4×C73C2414yes—
765C4⋊C4×C73C2414yes—
766C4⋊C4×C73C2414yes—
767C4⋊C4×C73C2414yes—
768C4⋊C4×C73C2414yes—
769C4⋊C4×C73C2414yes—
770C4⋊C4×C73C2414yes—
771C4⋊C4×C73C2414yes—
772C4⋊C4×C73C2414yes—
773C4⋊C4×C73C2414yes—
774C4⋊C4×C73C2414yes—
775C4⋊C4×C73C2414yes—
776C4⋊C4×C73C2414yes—
777C4⋊C4×C73C2414yes—
778C22⋊C4×C73C2414yes—
779C22⋊C4×C73C2414yes—
780C22⋊C4×C73C2414yes—
781C22⋊C4×C73C2414yes—
782C22⋊C4×C73C2414yes—
783C22⋊C4×C73C2414yes—
784C22⋊C4×C73C2414yes—
785C22⋊C4×C73C2414yes—
786C22⋊C4×C73C2414yes—
787C22⋊C4×C73C2414yes—
788C42×C73C2414yes—
789C42×C73C2414yes—
790C23×C73—22no—
791C23×C73—22no—
792C23×C73—22no—
793C23×C73—22no—
794C23×C73—22no—
795C23×C73—22no—
796C23×C73—22no—
797C23×C73—22no—
798C23×C73—22no—
799C23×C73C2512yes—
800C23×C73C2512yes—
801C23×C73C2512yes—
802C23×C73C2511yescharacteristic
803C22×D73—22no—
804C22×D73—22no—
805C22×D73—22no—
806C22×D73—22no—
807C22×D73—22no—
808C22×D73—22no—
809C22×D73—22no—
810C22×D73—22no—
811C22×D73—22no—
812C22×D73—22no—
813C22×D73—22no—
814C22×D73—22no—
815C22×D73—22no—
816C22×D73—22no—
817C22×D73—22no—
818C22×D73—22no—
819C22×D73—22no—
820C22×D73—28no—
821C22×D73—44no—
822C22×D73—44no—
823C22×D73—44no—
824C22×D73—44no—
825C22×D73—44no—
826C22×D73—44no—
827C22×D73—44no—
828C22×D73—44no—
829C22×D73—88no—
830C22×D73—88no—
831C22×D73—88no—
832C22×D73H(5,𝔽2)14yes—
833C22×D73C2512yes—
834C22×D73C2512yes—
835C22×D73C2512yes—
836C22×D73C2512yes—
837C22×D73C2512yes—
838C22×D73C2512yes—
839Q8×C73—44no—
840D4×C73—44no—
841D4×C73—44no—
842D4×C73—44no—
843C2×C4×C73—22no—
844C2×C4×C73—22no—
845C2×C4×C73—22no—
846C2×C4×C73—22no—
847C2×C4×C73—22no—
848C2×C4×C73—22no—
849C2×C4×C73—22no—
850C2×C4×C73—22no—
851C2×C4×C73—22no—
852C2×C4×C73—22no—
853C2×C4×C73—22no—
854C2×C4×C73—22no—
855C2×C4×C73—44no—
856C2×C4×C73—44no—
857C2×C4×C73—44no—
858C2×C4×C73—44no—
859C2×C4×C73—44no—
860C2×C4×C73C2512yes—
861C2×C4×C73C2512yes—
862C2×C4×C73C2512yes—
863C2×C4×C73C2512yes—
864C2×C4×C73C2512yes—
865C2×C4×C73C2512yes—
866C2×C4×C73C2512yes—
867C2×C4×C73C2512yes—
868C2×C4×C73C2512yes—
869C2×C4×C73C2512yes—
870C2×C4×C73C2512yes—
871C2×C4×C73C2512yes—
872C22⋊D73—28no—
873C22⋊D73—28no—
874C22⋊D73—44no—
875C22⋊D73—44no—
876C22⋊D73—44no—
877C22⋊D73—44no—
878C22⋊D73—44no—
879C22⋊D73—44no—
880C22⋊D73—44no—
881C22⋊D73—44no—
882C22⋊D73—44no—
883C22⋊D73—44no—
884C2×Dic73—22no—
885C2×Dic73—22no—
886C2×Dic73—22no—
887C2×Dic73—22no—
888C2×Dic73—22no—
889C2×Dic73—22no—
890C2×Dic73—22no—
891C2×Dic73—22no—
892C2×Dic73—22no—
893C2×Dic73—22no—
894C2×Dic73—44no—
895C2×Dic73C2512yes—
896C2×Dic73C2512yes—
897C2×Dic73C2512yes—
898C2×Dic73C2512yes—
899C2×Dic73C2512yes—
900C2×Dic73C2512yes—
901C2×Dic73C2512yes—
902C2×Dic73C2512yes—
903C2×Dic73C2512yes—
904C2×Dic73C2512yes—
905D292—28no—
906D292—28no—
907D292—28no—
908D292—28no—
909D292—44no—
910D292—44no—
911D292—44no—
912D292—44no—
913D292—44no—
914D292—44no—
915D292—44no—
916D292—44no—
917C4×D73—28no—
918C4×D73—28no—
919C4×D73—44no—
920C4×D73—44no—
921C4×D73—44no—
922C4×D73—44no—
923C4×D73—44no—
924C4×D73—44no—
925C4×D73—44no—
926C4×D73—44no—
927C4×D73—44no—
928C4×D73—44no—
929C4×D73—44no—
930C4×D73—44no—
931C4×D73—44no—
932C4×D73—44no—
933Dic146—44no—
934Dic146—44no—
935Dic146—44no—
936Dic146—44no—
937C22×C73—22no—
938C22×C73—22no—
939C22×C73—22no—
940C22×C73—22no—
941C22×C73—22no—
942C22×C73—22no—
943C22×C73—22no—
944C22×C73—22no—
945C22×C73—22no—
946C22×C73—44no—
947C22×C73—44no—
948C22×C73—44no—
949C22×C73C2×H(5,𝔽2)12yes—
950C22×C73#58512yes—
951C22×C73#58512yes—
952C22×C73C2611yescharacteristic
953C2×D73—22no—
954C2×D73—22no—
955C2×D73—28no—
956C2×D73—22no—
957C2×D73—22no—
958C2×D73—22no—
959C2×D73—22no—
960C2×D73—22no—
961C2×D73—22no—
962C2×D73—22no—
963C2×D73—22no—
964C2×D73—22no—
965C2×D73—22no—
966C2×D73—22no—
967C2×D73—22no—
968C2×D73—22no—
969C2×D73—22no—
970C2×D73—22no—
971C2×D73—44no—
972C2×D73—44no—
973C2×D73—44no—
974C2×D73—44no—
975C2×D73—44no—
976C2×D73—88no—
977C2×D73—88no—
978C2×D73—88no—
979C2×D73C2×H(5,𝔽2)14yes—
980C4×C73—22no—
981C4×C73—22no—
982C4×C73—22no—
983C4×C73—22no—
984C4×C73—22no—
985C4×C73—22no—
986C4×C73—22no—
987C4×C73—22no—
988C4×C73—22no—
989C4×C73—22no—
990C4×C73—22no—
991C4×C73—22no—
992Dic73—22no—
993Dic73—22no—
994Dic73—22no—
995Dic73—22no—
996Dic73—22no—
997Dic73—22no—
998Dic73—22no—
999Dic73—22no—
1000Dic73—22no—
1001Dic73—22no—
1002C2×#3560—731nomaximal, Sylow
1003C2×C73—42no—
1004C2×C73—42no—
1005C2×C73—42no—
1006C2×C73#356014yescomplemented
1007C2×C73C22×H(5,𝔽2)11yescharacteristic
1008C2×C73C2×#58511yescharacteristic
1009C2×C73C2×#58511yescharacteristic
1010D73—24no—
1011D73—42no—
1012D73—42no—
1013D73—42no—
1014D73—42no—
1015D73—42no—
1016#3560—7332no—
1017C2×#563—731no—
1018C2×#563—731no—
1019C2×#560—731no—
1020C2×#560—731no—
1021C2×#553—731no—
1022C2×#553—731no—
1023C2×#553—731no—
1024C2×#553—731no—
1025C2×#551—731no—
1026C2×#551—731no—
1027C2×#547—731no—
1028C2×#547—731no—
1029C2×#546—731no—
1030C2×#546—731no—
1031C2×#546—731no—
1032C2×#546—731no—
1033C2×#542—731no—
1034C2×#542—731no—
1035C2×#539—731no—
1036C2×#539—731no—
1037C2×#539D7311yescharacteristic, complemented
1038C2×#538—731no—
1039C2×#538—731no—
1040C2×#538—731no—
1041C2×#538—731no—
1042C2×#538—731no—
1043C2×#537—731no—
1044C2×#534—731no—
1045C2×#532—731no—
1046C2×#529—731no—
1047C22×#126—731no—
1048C73C2×#356011yescharacteristic, complemented, Sylow
1049C22×#41—731no—
1050C22×#41—731no—
1051C22×#41—731no—
1052C22×#41—731no—
1053C23×D4—731no—
1054C23×D4—731no—
1055#563—7316no—
1056#563—7316no—
1057#560—7316no—
1058#560—7316no—
1059#553—7316no—
1060#553—7316no—
1061#553—7316no—
1062#553—7316no—
1063#551—7316no—
1064#551—7316no—
1065#547—7316no—
1066#547—7316no—
1067#546—7316no—
1068#546—7316no—
1069#546—7316no—
1070#546—7316no—
1071#542—7316no—
1072#542—7316no—
1073#539—7316no—
1074#539—7316no—
1075#539C2×D73116yescomplemented
1076#538—7316no—
1077#538—7316no—
1078#538—7316no—
1079#538—7316no—
1080#538—7316no—
1081#537—7316no—
1082#534—7316no—
1083#532—7316no—
1084C2×C4⋊Q8—731no—
1085C2×C4⋊Q8—731no—
1086C2×C4⋊Q8—731no—
1087C2×#127—731no—
1088#529—7316no—
1089C2×#126—7316no—
1090C2×#126—731no—
1091C2×#126—731no—
1092C2×#126—731no—
1093C2×#126—731no—
1094C2×#126—731no—
1095C2×#126—731no—
1096C2×#126—731no—
1097C2×#126—731no—
1098C2×#126—731no—
1099C2×#126—731no—
1100C2×#126—731no—
1101C2×#126—731no—
1102C2×#126—731no—
1103C2×#126—731no—
1104C2×#126—731no—
1105C2×#126—731no—
1106C2×#126C2×D7311yescharacteristic, complemented
1107C2×#126C2×D7311yescharacteristic, complemented
1108C2×#125—731no—
1109C2×#125—731no—
1110C2×#125—731no—
1111C2×#125C2×D7311yescharacteristic, complemented
1112C2×#125C2×D7311yescharacteristic, complemented
1113C2×#124—731no—
1114C2×#124—731no—
1115C2×#124—731no—
1116C2×#124—731no—
1117C2×#124—731no—
1118C2×#124—731no—
1119C2×#124—731no—
1120C2×#124—731no—
1121C2×#124—731no—
1122C2×#123—731no—
1123C2×#123—731no—
1124C2×#123—731no—
1125C2×#123—731no—
1126C2×#123—731no—
1127C2×#123—731no—
1128C2×#123—731no—
1129C2×#123—731no—
1130C2×#123—731no—
1131C2×#123—731no—
1132C2×#123—731no—
1133C2×#123—731no—
1134C2×#123—731no—
1135C2×#123—731no—
1136C2×#123—731no—
1137C2×#123—731no—
1138C2×#123—731no—
1139C2×#123—731no—
1140C2×#123—731no—
1141C2×#123—731no—
1142C2×#123C2×D7311yescharacteristic
1143C2×#123C2×D7311yescharacteristic
1144C2×#123C2×D7311yescharacteristic, complemented
1145C2×#123C2×D7311yescharacteristic, complemented
1146C2×C22⋊Q8—731no—
1147C2×C22⋊Q8—731no—
1148C2×C22⋊Q8—731no—
1149C2×C22⋊Q8—731no—
1150C2×C22⋊Q8—731no—
1151C2×C22⋊Q8—731no—
1152C2×C22⋊Q8—731no—
1153C2×C22⋊Q8—731no—
1154C2×C22⋊Q8—731no—
1155C2×C22⋊Q8—731no—
1156C2×C22⋊Q8—731no—
1157C2×C22⋊Q8—731no—
1158C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1159C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1160C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1161C2×#121—731no—
1162C2×#121—731no—
1163C2×#121—731no—
1164C2×#121—731no—
1165C2×#121—731no—
1166C2×#121—731no—
1167C2×#121—731no—
1168C2×#121—731no—
1169C2×#121—731no—
1170C2×#121—731no—
1171C2×#121—731no—
1172C2×#121—731no—
1173C2×#121—731no—
1174C2×#121—731no—
1175C2×#121—731no—
1176C2×#121—731no—
1177C2×#121—731no—
1178C2×#121—731no—
1179C2×#121—731no—
1180C2×#121—731no—
1181C2×#121—731no—
1182C2×#121—731no—
1183C2×#121—731no—
1184C2×#121—731no—
1185C2×#121—731no—
1186C2×#121—731no—
1187C2×#121C2×D7311yescharacteristic
1188C2×#120—731no—
1189C2×#120—731no—
1190C2×#120—731no—
1191C2×#120—731no—
1192C2×#120—731no—
1193C2×#120—731no—
1194C2×#120—731no—
1195C2×#120—731no—
1196C2×#120—731no—
1197C2×#120—731no—
1198C2×C4×Q8—731no—
1199C2×C4×D4—731no—
1200C2×C4×D4—731no—
1201C2×C4×D4—731no—
1202C2×C4×D4—731no—
1203C2×C4×D4—731no—
1204C2×C4×D4—731no—
1205C2×C4×D4—731no—
1206C2×C4×D4—731no—
1207C2×C4×D4—731no—
1208C2×C4×D4—731no—
1209C2×C4×D4—731no—
1210C2×C4×D4—731no—
1211C2×C4×D4—731no—
1212C2×C4×D4—731no—
1213C2×C4×D4—731no—
1214C2×C4×D4—731no—
1215C2×C4×D4—731no—
1216C2×C4×D4C2×D7311yescharacteristic, complemented
1217C2×C4×D4C2×D7311yescharacteristic, complemented
1218C2×#117—731no—
1219C2×#117—731no—
1220C2×#117—731no—
1221C2×#117—731no—
1222C22×C4⋊C4—731no—
1223C22×C4⋊C4—731no—
1224C22×C4⋊C4—731no—
1225C22×C4⋊C4—731no—
1226C22×C4⋊C4C2×D7311yescharacteristic, complemented
1227C22×C22⋊C4—731no—
1228C22×C22⋊C4—731no—
1229C22×C22⋊C4—731no—
1230C22×C22⋊C4—731no—
1231C22×C22⋊C4—731no—
1232C22×C22⋊C4—731no—
1233C22×C22⋊C4—731no—
1234C22×C42—731no—
1235C25—731no—
1236C25—731no—
1237C25—731no—
1238C2×#41—2924no—
1239C2×#41—2924no—
1240C2×#41—2924no—
1241C2×#41—2924no—
1242C2×#41—738no—
1243C2×#41—738no—
1244C2×#41—738no—
1245C2×#41—738no—
1246C22×Q8—731no—
1247C22×Q8—731no—
1248C22×Q8—731no—
1249C22×Q8—731no—
1250C22×Q8C22×D7311yescharacteristic
1251C22×D4—2924no—
1252C22×D4—2924no—
1253C22×D4—731no—
1254C22×D4—731no—
1255C22×D4—731no—
1256C22×D4—731no—
1257C22×D4—731no—
1258C22×D4—731no—
1259C22×D4—731no—
1260C22×D4—731no—
1261C22×D4—731no—
1262C22×D4—731no—
1263C22×D4—738no—
1264C22×D4—731no—
1265C22×D4—731no—
1266C22×D4—731no—
1267C22×D4—731no—
1268C22×D4—731no—
1269C22×D4—731no—
1270C22×D4—731no—
1271C22×D4—731no—
1272C22×D4—731no—
1273C22×D4—731no—
1274C22×D4—738no—
1275C22×D4—731no—
1276C22×D4—731no—
1277C22×D4—731no—
1278C22×D4—731no—
1279C22×D4C22×D7311yescharacteristic
1280C22×D4C22×D7311yescharacteristic
1281C22×D4C22×D7311yescharacteristic
1282C23×C4—731no—
1283C23×C4—731no—
1284C23×C4—731no—
1285C23×C4—731no—
1286C23×C4—731no—
1287C23×C4—731no—
1288C23×C4—731no—
1289C23×C4—731no—
1290C23×C4—731no—
1291C23×C4—731no—
1292C23×C4—731no—
1293C23×C4—731no—
1294C23×C4—731no—
1295C23×C4—731no—
1296C23×C4—731no—
1297C23×C4—731no—
1298C23×C4—731no—
1299C23×C4C22×D7311yescharacteristic
1300C23×C4C22×D7311yescharacteristic
1301C23×C4C22×D7311yescharacteristic
1302C23×C4C22×D7311yescharacteristic
1303C23×C4C22×D7311yescharacteristic
1304C4⋊Q8—738no—
1305C4⋊Q8—738no—
1306C4⋊Q8—738no—
1307#127—738no—
1308#126—738no—
1309#126—738no—
1310#126—738no—
1311#126—738no—
1312#126—738no—
1313#126—738no—
1314#126—738no—
1315#126—738no—
1316#126—738no—
1317#126—738no—
1318#126—738no—
1319#126—738no—
1320#126—738no—
1321#126—738no—
1322#126—738no—
1323#126—738no—
1324#126C22×D7318yescomplemented
1325#126C22×D7318yescomplemented
1326#125—738no—
1327#125—738no—
1328#125—738no—
1329#125C22×D7318yescomplemented
1330#125C22×D7318yescomplemented
1331#124—738no—
1332#124—738no—
1333#124—738no—
1334#124—738no—
1335#124—738no—
1336#124—738no—
1337#124—738no—
1338#124—738no—
1339#124—738no—
1340#123—738no—
1341#123—738no—
1342#123—738no—
1343#123—738no—
1344#123—738no—
1345#123—738no—
1346#123—738no—
1347#123—738no—
1348#123—738no—
1349#123—738no—
1350#123—738no—
1351#123—738no—
1352#123—738no—
1353#123—738no—
1354#123—738no—
1355#123—738no—
1356#123—738no—
1357#123—738no—
1358#123—738no—
1359#123—738no—
1360#123C22×D7318yes—
1361#123C22×D7318yes—
1362#123C22×D7318yescomplemented
1363#123C22×D7318yescomplemented
1364C22⋊Q8—738no—
1365C22⋊Q8—738no—
1366C22⋊Q8—738no—
1367C22⋊Q8—738no—
1368C22⋊Q8—738no—
1369C22⋊Q8—738no—
1370C22⋊Q8—738no—
1371C22⋊Q8—738no—
1372C22⋊Q8—738no—
1373C22⋊Q8—738no—
1374C22⋊Q8—738no—
1375C22⋊Q8—738no—
1376C22⋊Q8C22×D7318yescomplemented
1377C22⋊Q8C22×D7318yescomplemented
1378C22⋊Q8C22×D7318yescomplemented
1379#121—738no—
1380#121—738no—
1381#121—738no—
1382#121—738no—
1383#121—738no—
1384#121—738no—
1385#121—738no—
1386#121—738no—
1387#121—738no—
1388#121—738no—
1389#121—738no—
1390#121—738no—
1391#121—738no—
1392#121—738no—
1393#121—738no—
1394#121—738no—
1395#121—738no—
1396#121—738no—
1397#121—738no—
1398#121—738no—
1399#121—738no—
1400#121—738no—
1401#121—738no—
1402#121—738no—
1403#121—738no—
1404#121—738no—
1405#121C22×D7318yes—
1406#120—738no—
1407#120—738no—
1408#120—738no—
1409#120—738no—
1410#120—738no—
1411#120—738no—
1412#120—738no—
1413#120—738no—
1414#120—738no—
1415#120—738no—
1416C4×Q8—738no—
1417C4×D4—738no—
1418C4×D4—738no—
1419C4×D4—738no—
1420C4×D4—738no—
1421C4×D4—738no—
1422C4×D4—738no—
1423C4×D4—738no—
1424C4×D4—738no—
1425C4×D4—738no—
1426C4×D4—738no—
1427C4×D4—738no—
1428C4×D4—738no—
1429C4×D4—738no—
1430C4×D4—738no—
1431C4×D4—738no—
1432C4×D4—738no—
1433C4×D4—738no—
1434C4×D4C22×D7318yescomplemented
1435C4×D4C22×D7318yescomplemented
1436#117—738no—
1437#117—738no—
1438#117—738no—
1439#117—738no—
1440C2×C4⋊C4—731no—
1441C2×C4⋊C4—731no—
1442C2×C4⋊C4—731no—
1443C2×C4⋊C4—731no—
1444C2×C4⋊C4—731no—
1445C2×C4⋊C4—731no—
1446C2×C4⋊C4—731no—
1447C2×C4⋊C4—731no—
1448C2×C4⋊C4—731no—
1449C2×C4⋊C4—731no—
1450C2×C4⋊C4—731no—
1451C2×C4⋊C4—731no—
1452C2×C4⋊C4—731no—
1453C2×C4⋊C4—731no—
1454C2×C4⋊C4—731no—
1455C2×C4⋊C4—731no—
1456C2×C4⋊C4—731no—
1457C2×C4⋊C4—731no—
1458C2×C4⋊C4—731no—
1459C2×C4⋊C4—731no—
1460C2×C4⋊C4—731no—
1461C2×C4⋊C4—731no—
1462C2×C4⋊C4—731no—
1463C2×C4⋊C4—731no—
1464C2×C4⋊C4—738no—
1465C2×C4⋊C4—738no—
1466C2×C4⋊C4—738no—
1467C2×C4⋊C4—738no—
1468C2×C4⋊C4C22×D7311yescharacteristic
1469C2×C4⋊C4C22×D7311yescharacteristic
1470C2×C4⋊C4C22×D7311yescharacteristic
1471C2×C4⋊C4C22×D7311yescharacteristic
1472C2×C4⋊C4C22×D7311yescharacteristic
1473C2×C4⋊C4C22×D7311yescharacteristic
1474C2×C4⋊C4C22×D7311yescharacteristic
1475C2×C4⋊C4C22×D7311yescharacteristic
1476C2×C4⋊C4C22×D7311yescharacteristic
1477C2×C4⋊C4C22×D7311yescharacteristic
1478C2×C4⋊C4C22×D7311yescharacteristic
1479C2×C4⋊C4C22×D7311yescharacteristic
1480C2×C4⋊C4C22×D7311yescharacteristic
1481C2×C4⋊C4C22×D7311yescharacteristic
1482C2×C4⋊C4C22×D7318yescomplemented
1483C2×C22⋊C4—731no—
1484C2×C22⋊C4—731no—
1485C2×C22⋊C4—731no—
1486C2×C22⋊C4—731no—
1487C2×C22⋊C4—731no—
1488C2×C22⋊C4—731no—
1489C2×C22⋊C4—731no—
1490C2×C22⋊C4—731no—
1491C2×C22⋊C4—731no—
1492C2×C22⋊C4—731no—
1493C2×C22⋊C4—731no—
1494C2×C22⋊C4—731no—
1495C2×C22⋊C4—731no—
1496C2×C22⋊C4—731no—
1497C2×C22⋊C4—731no—
1498C2×C22⋊C4—731no—
1499C2×C22⋊C4—731no—
1500C2×C22⋊C4—731no—
1501C2×C22⋊C4—731no—
1502C2×C22⋊C4—731no—
1503C2×C22⋊C4—731no—
1504C2×C22⋊C4—731no—
1505C2×C22⋊C4—738no—
1506C2×C22⋊C4—731no—
1507C2×C22⋊C4—731no—
1508C2×C22⋊C4—731no—
1509C2×C22⋊C4—731no—
1510C2×C22⋊C4—731no—
1511C2×C22⋊C4—731no—
1512C2×C22⋊C4—731no—
1513C2×C22⋊C4—731no—
1514C2×C22⋊C4—731no—
1515C2×C22⋊C4—731no—
1516C2×C22⋊C4—731no—
1517C2×C22⋊C4—731no—
1518C2×C22⋊C4—731no—
1519C2×C22⋊C4—731no—
1520C2×C22⋊C4—731no—
1521C2×C22⋊C4—731no—
1522C2×C22⋊C4—731no—
1523C2×C22⋊C4—731no—
1524C2×C22⋊C4—738no—
1525C2×C22⋊C4—738no—
1526C2×C22⋊C4—738no—
1527C2×C22⋊C4—738no—
1528C2×C22⋊C4—738no—
1529C2×C22⋊C4—738no—
1530C2×C22⋊C4C22×D7311yescharacteristic
1531C2×C22⋊C4C22×D7311yescharacteristic
1532C2×C22⋊C4C22×D7311yescharacteristic
1533C2×C22⋊C4C22×D7311yescharacteristic
1534C2×C22⋊C4C22×D7311yescharacteristic
1535C2×C22⋊C4C22×D7311yescharacteristic
1536C2×C22⋊C4C22×D7311yescharacteristic
1537C2×C22⋊C4C22×D7311yescharacteristic
1538C2×C22⋊C4C22×D7311yescharacteristic
1539C2×C22⋊C4C22×D7311yescharacteristic
1540C2×C42—731no—
1541C2×C42—731no—
1542C2×C42—731no—
1543C2×C42—731no—
1544C2×C42—731no—
1545C2×C42—731no—
1546C2×C42—731no—
1547C2×C42—731no—
1548C2×C42—738no—
1549C2×C42C22×D7311yescharacteristic
1550C2×C42C22×D7311yescharacteristic
1551C24—2922no—
1552C24—2922no—
1553C24—2922no—
1554C24—2922no—
1555C24—2922no—
1556C24—2922no—
1557C24—2922no—
1558C24—2922no—
1559C24—734no—
1560C24—734no—
1561C24—734no—
1562C24—731no—
1563C24—731no—
1564C24—731no—
1565C24—731no—
1566C24—731no—
1567C24—731no—
1568C24—1464no—
1569C24C23×D7311yescharacteristic
1570C24C23×D7311yescharacteristic
1571C24C23×D7311yescharacteristic
1572#41—29216no—
1573#41—29216no—
1574#41—29216no—
1575#41—29216no—
1576C2×Q8—42no—
1577C2×Q8—2922no—
1578C2×Q8—2922no—
1579C2×Q8—2922no—
1580C2×Q8—2922no—
1581C2×Q8—734no—
1582C2×Q8—734no—
1583C2×Q8—734no—
1584C2×Q8—734no—
1585C2×Q8C23×D7314yes—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—2922no—
1590C2×D4—2922no—
1591C2×D4—2922no—
1592C2×D4—2922no—
1593C2×D4—2922no—
1594C2×D4—2922no—
1595C2×D4—2922no—
1596C2×D4—2922no—
1597C2×D4—29216no—
1598C2×D4—29216no—
1599C2×D4—2922no—
1600C2×D4—2922no—
1601C2×D4—2922no—
1602C2×D4—2922no—
1603C2×D4—2922no—
1604C2×D4—2922no—
1605C2×D4—2922no—
1606C2×D4—2922no—
1607C2×D4—2922no—
1608C2×D4—2922no—
1609C2×D4—734no—
1610C2×D4—734no—
1611C2×D4—734no—
1612C2×D4—734no—
1613C2×D4—734no—
1614C2×D4—734no—
1615C2×D4—734no—
1616C2×D4—734no—
1617C2×D4—734no—
1618C2×D4—734no—
1619C2×D4—734no—
1620C2×D4—734no—
1621C2×D4—734no—
1622C2×D4—734no—
1623C2×D4—734no—
1624C2×D4—734no—
1625C2×D4—734no—
1626C2×D4—734no—
1627C2×D4—734no—
1628C2×D4—734no—
1629C2×D4—734no—
1630C2×D4—734no—
1631C2×D4—734no—
1632C2×D4—734no—
1633C2×D4—1464no—
1634C2×D4—1464no—
1635C2×D4—1464no—
1636C2×D4—1464no—
1637C2×D4—1464no—
1638C2×D4—1464no—
1639C2×D4C23×D7314yes—
1640C2×D4C23×D7314yes—
1641C2×D4C23×D7314yes—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—2922no—
1648C22×C4—2922no—
1649C22×C4—2922no—
1650C22×C4—2922no—
1651C22×C4—2922no—
1652C22×C4—2922no—
1653C22×C4—2922no—
1654C22×C4—2922no—
1655C22×C4—2922no—
1656C22×C4—2922no—
1657C22×C4—2922no—
1658C22×C4—2922no—
1659C22×C4—2922no—
1660C22×C4—2922no—
1661C22×C4—2922no—
1662C22×C4—734no—
1663C22×C4—734no—
1664C22×C4—734no—
1665C22×C4—734no—
1666C22×C4—734no—
1667C22×C4—734no—
1668C22×C4—734no—
1669C22×C4—734no—
1670C22×C4—734no—
1671C22×C4—734no—
1672C22×C4—734no—
1673C22×C4—734no—
1674C22×C4—734no—
1675C22×C4—734no—
1676C22×C4—734no—
1677C22×C4—731no—
1678C22×C4—731no—
1679C22×C4—731no—
1680C22×C4—731no—
1681C22×C4—731no—
1682C22×C4—731no—
1683C22×C4—731no—
1684C22×C4—731no—
1685C22×C4—731no—
1686C22×C4—731no—
1687C22×C4—734no—
1688C22×C4—734no—
1689C22×C4—1464no—
1690C22×C4—1464no—
1691C22×C4C23×D7311yescharacteristic
1692C22×C4C23×D7311yescharacteristic
1693C22×C4C23×D7311yescharacteristic
1694C22×C4C23×D7311yescharacteristic
1695C22×C4C23×D7311yescharacteristic
1696C22×C4C23×D7311yescharacteristic
1697C22×C4C23×D7311yescharacteristic
1698C22×C4C23×D7311yescharacteristic
1699C22×C4C23×D7311yescharacteristic
1700C22×C4C23×D7311yescharacteristic
1701C22×C4C23×D7311yescharacteristic
1702C22×C4C23×D7311yescharacteristic
1703C22×C4C23×D7314yes—
1704C22×C4C23×D7314yes—
1705C22×C4C23×D7314yes—
1706C22×C4C23×D7314yes—
1707C22×C4C23×D7314yes—
1708C4⋊C4—734no—
1709C4⋊C4—734no—
1710C4⋊C4—734no—
1711C4⋊C4—734no—
1712C4⋊C4—734no—
1713C4⋊C4—734no—
1714C4⋊C4—734no—
1715C4⋊C4—734no—
1716C4⋊C4—734no—
1717C4⋊C4—734no—
1718C4⋊C4—734no—
1719C4⋊C4—734no—
1720C4⋊C4—734no—
1721C4⋊C4—734no—
1722C4⋊C4—734no—
1723C4⋊C4—734no—
1724C4⋊C4—734no—
1725C4⋊C4—734no—
1726C4⋊C4—734no—
1727C4⋊C4—734no—
1728C4⋊C4—734no—
1729C4⋊C4—734no—
1730C4⋊C4—734no—
1731C4⋊C4—734no—
1732C4⋊C4C23×D7314yes—
1733C4⋊C4C23×D7314yes—
1734C4⋊C4C23×D7314yes—
1735C4⋊C4C23×D7314yes—
1736C4⋊C4C23×D7314yes—
1737C4⋊C4C23×D7314yes—
1738C4⋊C4C23×D7314yes—
1739C4⋊C4C23×D7314yes—
1740C4⋊C4C23×D7314yes—
1741C4⋊C4C23×D7314yes—
1742C4⋊C4C23×D7314yes—
1743C4⋊C4C23×D7314yes—
1744C4⋊C4C23×D7314yes—
1745C4⋊C4C23×D7314yes—
1746C22⋊C4—734no—
1747C22⋊C4—734no—
1748C22⋊C4—734no—
1749C22⋊C4—734no—
1750C22⋊C4—734no—
1751C22⋊C4—734no—
1752C22⋊C4—734no—
1753C22⋊C4—734no—
1754C22⋊C4—734no—
1755C22⋊C4—734no—
1756C22⋊C4—734no—
1757C22⋊C4—734no—
1758C22⋊C4—734no—
1759C22⋊C4—734no—
1760C22⋊C4—734no—
1761C22⋊C4—734no—
1762C22⋊C4—734no—
1763C22⋊C4—734no—
1764C22⋊C4—734no—
1765C22⋊C4—734no—
1766C22⋊C4—734no—
1767C22⋊C4—734no—
1768C22⋊C4—734no—
1769C22⋊C4—734no—
1770C22⋊C4—734no—
1771C22⋊C4—734no—
1772C22⋊C4—734no—
1773C22⋊C4—734no—
1774C22⋊C4—734no—
1775C22⋊C4—734no—
1776C22⋊C4—734no—
1777C22⋊C4—734no—
1778C22⋊C4—734no—
1779C22⋊C4—734no—
1780C22⋊C4—734no—
1781C22⋊C4—734no—
1782C22⋊C4—734no—
1783C22⋊C4—734no—
1784C22⋊C4—734no—
1785C22⋊C4—734no—
1786C22⋊C4C23×D7314yes—
1787C22⋊C4C23×D7314yes—
1788C22⋊C4C23×D7314yes—
1789C22⋊C4C23×D7314yes—
1790C22⋊C4C23×D7314yes—
1791C22⋊C4C23×D7314yes—
1792C22⋊C4C23×D7314yes—
1793C22⋊C4C23×D7314yes—
1794C22⋊C4C23×D7314yes—
1795C22⋊C4C23×D7314yes—
1796C42—734no—
1797C42—734no—
1798C42—734no—
1799C42—734no—
1800C42—734no—
1801C42—734no—
1802C42—734no—
1803C42—734no—
1804C42C23×D7314yes—
1805C42C23×D7314yes—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—2924no—
1816C23—2924no—
1817C23—2924no—
1818C23—2924no—
1819C23—2924no—
1820C23—2924no—
1821C23—2924no—
1822C23—2924no—
1823C23—5848no—
1824C23—5848no—
1825C23—5848no—
1826C23—734no—
1827C23—732no—
1828C23—732no—
1829C23—732no—
1830C23—732no—
1831C23—732no—
1832C23—732no—
1833C23—1468no—
1834C23—1462no—
1835C23—1462no—
1836C23—1462no—
1837C23—1462no—
1838C23—1462no—
1839C23—1462no—
1840C23—1462no—
1841C23—1462no—
1842C23—1462no—
1843C23—1462no—
1844C23—1462no—
1845C23—1462no—
1846C23—1462no—
1847C23—1462no—
1848C23—1462no—
1849C23—1462no—
1850C23—1462no—
1851C23C24×D7312yes—
1852C23C24×D7312yes—
1853C23C24×D7312yes—
1854C23C24×D7311yescharacteristic
1855Q8—44no—
1856Q8—2924no—
1857Q8—2924no—
1858Q8—2924no—
1859Q8—2924no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—2924no—
1864D4—2924no—
1865D4—2924no—
1866D4—2924no—
1867D4—2924no—
1868D4—2924no—
1869D4—2924no—
1870D4—2924no—
1871D4—2924no—
1872D4—2924no—
1873D4—2924no—
1874D4—2924no—
1875D4—2924no—
1876D4—2924no—
1877D4—2924no—
1878D4—2924no—
1879D4—2924no—
1880D4—2924no—
1881D4—1468no—
1882D4—1468no—
1883D4—1468no—
1884D4—1468no—
1885D4—1468no—
1886D4—1468no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—2924no—
1905C2×C4—2924no—
1906C2×C4—2924no—
1907C2×C4—2924no—
1908C2×C4—2924no—
1909C2×C4—2924no—
1910C2×C4—2924no—
1911C2×C4—2924no—
1912C2×C4—2924no—
1913C2×C4—2924no—
1914C2×C4—2924no—
1915C2×C4—2924no—
1916C2×C4—2924no—
1917C2×C4—2924no—
1918C2×C4—2924no—
1919C2×C4—732no—
1920C2×C4—732no—
1921C2×C4—732no—
1922C2×C4—732no—
1923C2×C4—732no—
1924C2×C4—732no—
1925C2×C4—732no—
1926C2×C4—732no—
1927C2×C4—732no—
1928C2×C4—732no—
1929C2×C4—1468no—
1930C2×C4—1468no—
1931C2×C4—1462no—
1932C2×C4—1462no—
1933C2×C4—1462no—
1934C2×C4—1462no—
1935C2×C4—1462no—
1936C2×C4—1462no—
1937C2×C4—1462no—
1938C2×C4—1462no—
1939C2×C4—1462no—
1940C2×C4—1462no—
1941C2×C4C24×D7312yes—
1942C2×C4C24×D7312yes—
1943C2×C4C24×D7312yes—
1944C2×C4C24×D7312yes—
1945C2×C4C24×D7312yes—
1946C2×C4C24×D7312yes—
1947C2×C4C24×D7312yes—
1948C2×C4C24×D7312yes—
1949C2×C4C24×D7312yes—
1950C2×C4C24×D7312yes—
1951C2×C4C24×D7312yes—
1952C2×C4C24×D7312yes—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—44no—
1963C22—44no—
1964C22—44no—
1965C22—2924no—
1966C22—2924no—
1967C22—2924no—
1968C22—2924no—
1969C22—2924no—
1970C22—5848no—
1971C22—5848no—
1972C22—5848no—
1973C22—734no—
1974C22—1462no—
1975C22—1462no—
1976C22—1462no—
1977C22—1462no—
1978C22—1462no—
1979C22—1462no—
1980C22—1462no—
1981C22—1462no—
1982C22—1462no—
1983C22—1462no—
1984C22—1462no—
1985C22—1462no—
1986C22—1462no—
1987C22—1462no—
1988C22—1462no—
1989C22—1462no—
1990C22—1468no—
1991C22—1462no—
1992C22H(5,𝔽2)×D7312yes—
1993C22#1798942312yes—
1994C22#1798942412yes—
1995C22C25×D7311yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
2008C4—1462no—
2009C4—1462no—
2010C4—1462no—
2011C4—1462no—
2012C4—1462no—
2013C4—1462no—
2014C4—1462no—
2015C4—1462no—
2016C4—1462no—
2017C4—1462no—
2018C2—42no—
2019C2—42no—
2020C2—42no—
2021C2—2922no—
2022C2—2922no—
2023C2—2922no—
2024C2—2922no—
2025C2—2922no—
2026C2—1464no—
2027C2#2262448414yesdirect product factor
2028C2C2×H(5,𝔽2)×D7311yescharacteristic
2029C2C2×#1798942311yescharacteristic
2030C2C2×#1798942411yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#539×C73C2
socleC23×C73C25
hypercenterC2×#539D73
hypocenterC73C2×#3560
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #22624484C2direct (N × H)
2. C2×#17989341C2semidirect
3. C2×#17989338C2semidirect
4. C2×#17989327C2semidirect
5. C2×#17989325C2semidirect
6. C2×#17989290C2semidirect
7. C2×#17989287C2semidirect
8. C2×#17989285C2semidirect
9. C2×#17989282C2semidirect
10. C2×#17989265C2semidirect
11. C2×#17989264C2semidirect
12. C2×#17989239C2semidirect
13. C2×#17989238C2semidirect
14. C2×#17989234C2semidirect
15. C2×#17989233C2semidirect
16. C2×#17989229C2semidirect
17. C2×#17989228C2semidirect
18. C2×#17989207C2semidirect
19. C2×#17989205C2semidirect
20. C2×#17989185C2semidirect
21. C2×#17989178C2semidirect
22. C2×#17989176C2semidirect
23. C2×#17989176C2semidirect
24. C2×#17989173C2semidirect
25. C2×#17989173C2semidirect
26. C2×#17989170C2semidirect
27. C2×#17989167C2semidirect
28. C2×#17989148C2semidirect
29. C2×#17989134C2semidirect
30. C2×#17989122C2semidirect
31. C2×#126×D73C2semidirect
32. C2×#539×C73C2semidirect
33. C22×#11924029C22semidirect
34. C22×#11924028C22semidirect
35. C22×#11924028C22semidirect
36. C22×#11924028C22semidirect
39. #17989341C22semidirect
40. #17989338C22semidirect
41. #17989327C22semidirect
42. #17989325C22semidirect
43. #17989290C22semidirect
44. #17989287C22semidirect
45. #17989285C22semidirect
46. #17989282C22semidirect
47. #17989265C22semidirect
48. #17989264C22semidirect
49. #17989239C22semidirect
50. #17989238C22semidirect
51. #17989234C22semidirect
52. #17989233C22semidirect
53. #17989229C22semidirect
54. #17989228C22semidirect
55. #17989207C22semidirect
56. #17989205C22semidirect
57. #17989185C22semidirect
58. #17989178C22semidirect
59. #17989176C22semidirect
60. #17989176C22semidirect
61. #17989173C22semidirect
62. #17989173C22semidirect
63. #17989170C22semidirect
64. #17989167C22semidirect
65. #17989148C22semidirect
66. #17989134C22semidirect
67. C2×#14556590C22semidirect
68. C2×#14556590C22semidirect
69. C2×#14556589C22semidirect
70. C2×#14556587C22semidirect
71. #17989122C22semidirect
72. C2×#14556586C22semidirect
73. C2×#14556586C22semidirect
74. C2×#14556586C22semidirect
75. C2×#14556586C22semidirect
76. C2×#14556586C22semidirect
77. C2×#14556586C22semidirect
78. C2×#14556586C22semidirect
79. C2×#14556586C22semidirect
80. C2×#14556586C22semidirect
81. C2×#14556586C22semidirect
82. C2×#14556585C22semidirect
83. C2×#14556584C22semidirect
84. C2×#14556584C22semidirect
85. C2×#14556584C22semidirect
86. C2×#14556584C22semidirect
87. C2×#14556584C22semidirect
88. #126×D73C22semidirect
89. C2×#14556583C22semidirect
90. C2×#14556582C22semidirect
91. C2×#14556581C22semidirect
94. C2×#14556579C22semidirect
97. C2×#14556577C22semidirect
98. C2×#14556577C22semidirect
99. C2×#14556577C22semidirect
100. C2×#14556577C22semidirect
105. C2×#14556576C22semidirect
106. C2×#14556576C22semidirect
107. C2×#14556576C22semidirect
108. C2×#14556576C22semidirect
109. C2×#14556576C22semidirect
110. C2×#14556576C22semidirect
111. C2×#14556576C22semidirect
112. C2×#14556575C22semidirect
114. C2×#14556574C22semidirect
115. C2×#14556574C22semidirect
117. C2×#14556573C22semidirect
118. C2×#14556573C22semidirect
119. C2×#14556573C22semidirect
120. C2×#14556573C22semidirect
121. C2×#14556571C22semidirect
122. C2×#14556571C22semidirect
123. C2×#14556571C22semidirect
124. C2×#14556570C22semidirect
125. C2×#14556569C22semidirect
126. C2×#14556569C22semidirect
127. C2×#14556569C22semidirect
128. C2×#14556569C22semidirect
129. C2×#14556569C22semidirect
130. C2×#14556569C22semidirect
131. C2×#14556568C22semidirect
132. C2×#14556567C22semidirect
137. C2×#14556566C22semidirect
138. C2×#14556566C22semidirect
139. C2×#14556566C22semidirect
140. C2×#14556566C22semidirect
142. C2×#14556565C22semidirect
143. C2×#14556565C22semidirect
144. C2×#14556565C22semidirect
149. C2×#14556564C22semidirect
150. C2×#14556564C22semidirect
151. C2×#14556564C22semidirect
152. C2×#14556564C22semidirect
153. C2×#14556564C22semidirect
155. C2×#14556563C22semidirect
157. C2×#14556562C22semidirect
158. C2×#14556562C22semidirect
163. C2×#14556561C22semidirect
164. C2×#14556561C22semidirect
167. C2×#14556559C22semidirect
168. C2×#14556559C22semidirect
169. C2×#14556556C22semidirect
170. C2×C4×D292C22semidirect
171. C2×C4×D292C22semidirect
172. C2×C4×D292C22semidirect
173. C2×#14556553C22semidirect
174. C2×#14556553C22semidirect
175. C2×#14556553C22semidirect
176. C2×#14556553C22semidirect
177. C2×#14556553C22semidirect
178. C2×#14556553C22semidirect
179. C2×C4×C22⋊D73C22semidirect
180. C2×C4×C22⋊D73C22semidirect
181. C2×C4×C22⋊D73C22semidirect
182. C2×C4×C22⋊D73C22semidirect
183. C2×C4×C22⋊D73C22semidirect
184. C2×C4×C22⋊D73C22semidirect
185. C2×C4×C22⋊D73C22semidirect
186. C2×#14556551C22semidirect
187. C2×#14556549C22semidirect
188. C2×#14556549C22semidirect
189. C2×#14556549C22semidirect
190. C2×#14556547C22semidirect
191. C2×C4⋊C4×D73C22semidirect
192. C2×C4⋊C4×D73C22semidirect
193. C2×C4⋊C4×D73C22semidirect
194. C2×C4⋊C4×D73C22semidirect
195. C22×#11924005C22semidirect
199. C2×C22⋊C4×D73C22semidirect
200. C2×C22⋊C4×D73C22semidirect
201. C2×C22⋊C4×D73C22semidirect
202. C2×C42×D73C22semidirect
203. #539×C73C22semidirect
204. C2×#126×C73C22semidirect
205. C2×#126×C73C22semidirect
206. C2×#125×C73C22semidirect
207. C2×#125×C73C22semidirect
210. C2×#123×C73C22semidirect
211. C2×#123×C73C22semidirect
212. C2×C22⋊Q8×C73C22semidirect
213. C2×C22⋊Q8×C73C22semidirect
214. C2×C22⋊Q8×C73C22semidirect
216. C2×C4×D4×C73C22semidirect
217. C2×C4×D4×C73C22semidirect
218. C22×C4⋊C4×C73C22semidirect
223. C2×#11924029C23semidirect
227. C2×#11924028C23semidirect
228. C2×#11924028C23semidirect
229. C2×#11924028C23semidirect
279. #14556590C23semidirect
280. #14556590C23semidirect
281. #14556589C23semidirect
282. #14556587C23semidirect
283. #14556586C23semidirect
284. #14556586C23semidirect
285. #14556586C23semidirect
286. #14556586C23semidirect
287. #14556586C23semidirect
288. #14556586C23semidirect
289. #14556586C23semidirect
290. #14556586C23semidirect
291. #14556586C23semidirect
292. #14556586C23semidirect
293. #14556585C23semidirect
294. #14556584C23semidirect
295. #14556584C23semidirect
296. #14556584C23semidirect
297. #14556584C23semidirect
298. #14556584C23semidirect
299. #14556583C23semidirect
300. #14556582C23semidirect
301. #14556581C23semidirect
304. #14556579C23semidirect
307. #14556577C23semidirect
308. #14556577C23semidirect
309. #14556577C23semidirect
310. #14556577C23semidirect
315. #14556576C23semidirect
316. #14556576C23semidirect
317. #14556576C23semidirect
318. #14556576C23semidirect
319. #14556576C23semidirect
320. #14556576C23semidirect
321. #14556576C23semidirect
322. #14556575C23semidirect
324. #14556574C23semidirect
325. #14556574C23semidirect
327. #14556573C23semidirect
328. #14556573C23semidirect
329. #14556573C23semidirect
330. #14556573C23semidirect
331. #14556571C23semidirect
332. #14556571C23semidirect
333. #14556571C23semidirect
334. #14556570C23semidirect
335. #14556569C23semidirect
336. #14556569C23semidirect
337. #14556569C23semidirect
338. #14556569C23semidirect
339. #14556569C23semidirect
340. #14556569C23semidirect
341. #14556568C23semidirect
342. #14556567C23semidirect
347. #14556566C23semidirect
348. #14556566C23semidirect
349. #14556566C23semidirect
350. #14556566C23semidirect
352. #14556565C23semidirect
353. #14556565C23semidirect
354. #14556565C23semidirect
359. #14556564C23semidirect
360. #14556564C23semidirect
361. #14556564C23semidirect
362. #14556564C23semidirect
363. #14556564C23semidirect
365. #14556563C23semidirect
367. #14556562C23semidirect
368. #14556562C23semidirect
373. #14556561C23semidirect
374. #14556561C23semidirect
377. #14556559C23semidirect
378. #14556559C23semidirect
379. #14556556C23semidirect
380. C4×D292C23semidirect
381. C4×D292C23semidirect
382. C4×D292C23semidirect
383. #14556553C23semidirect
384. #14556553C23semidirect
385. #14556553C23semidirect
386. #14556553C23semidirect
387. #14556553C23semidirect
388. #14556553C23semidirect
389. C4×C22⋊D73C23semidirect
390. C4×C22⋊D73C23semidirect
391. C4×C22⋊D73C23semidirect
392. C4×C22⋊D73C23semidirect
393. C4×C22⋊D73C23semidirect
394. C4×C22⋊D73C23semidirect
395. C4×C22⋊D73C23semidirect
396. #14556551C23semidirect
397. #14556549C23semidirect
398. #14556549C23semidirect
399. #14556549C23semidirect
400. #14556547C23semidirect
425. C4⋊C4×D73C23semidirect
426. C4⋊C4×D73C23semidirect
427. C4⋊C4×D73C23semidirect
428. C4⋊C4×D73C23semidirect
469. C2×#11924005C23semidirect
473. C22⋊C4×D73C23semidirect
474. C22⋊C4×D73C23semidirect
475. C22⋊C4×D73C23semidirect
484. C42×D73C23semidirect
494. #126×C73C23semidirect
495. #126×C73C23semidirect
496. #125×C73C23semidirect
497. #125×C73C23semidirect
500. #123×C73C23semidirect
501. #123×C73C23semidirect
502. C22⋊Q8×C73C23semidirect
503. C22⋊Q8×C73C23semidirect
504. C22⋊Q8×C73C23semidirect
506. C4×D4×C73C23semidirect
507. C4×D4×C73C23semidirect
522. C2×C4⋊C4×C73C23semidirect
1006. C2×C73#3560semidirect
1037. C2×#539D73semidirect
1048. C73C2×#3560semidirect
1075. #539C2×D73semidirect
1106. C2×#126C2×D73semidirect
1107. C2×#126C2×D73semidirect
1111. C2×#125C2×D73semidirect
1112. C2×#125C2×D73semidirect
1144. C2×#123C2×D73semidirect
1145. C2×#123C2×D73semidirect
1158. C2×C22⋊Q8C2×D73semidirect
1159. C2×C22⋊Q8C2×D73semidirect
1160. C2×C22⋊Q8C2×D73semidirect
1216. C2×C4×D4C2×D73semidirect
1217. C2×C4×D4C2×D73semidirect
1226. C22×C4⋊C4C2×D73semidirect
1324. #126C22×D73semidirect
1325. #126C22×D73semidirect
1329. #125C22×D73semidirect
1330. #125C22×D73semidirect
1362. #123C22×D73semidirect
1363. #123C22×D73semidirect
1376. C22⋊Q8C22×D73semidirect
1377. C22⋊Q8C22×D73semidirect
1378. C22⋊Q8C22×D73semidirect
1434. C4×D4C22×D73semidirect
1435. C4×D4C22×D73semidirect
1482. C2×C4⋊C4C22×D73semidirect
2027. C2#22624484direct (N × H)

Maximal subgroups

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

subgroupindex
#226244842
C2×#179893412
C2×#179893382
C2×#179893272
C2×#179893252
C2×#179892902
C2×#179892872
C2×#179892852
C2×#179892822
C2×#179892652
C2×#179892642
C2×#179892392
C2×#179892382
C2×#179892342
C2×#179892332
C2×#179892292
C2×#179892282
C2×#179892072
C2×#179892052
C2×#179891852
C2×#179891782
C2×#179891762
C2×#179891732
C2×#179891702
C2×#179891672
C2×#179891482
C2×#179891342
C2×#179891222
C2×#126×D732
C2×#539×C732
C2×#356073