Finite Group Databasebeta

← C2×#22624615 #33993422

Subgroups — C2×#22624615 #33993422

Order 18688.

6662 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624615C2132yesmaximal, direct product factor
2C2×C73⋊#564C211yesmaximal, characteristic, complemented
3C2×#17989334C211yesmaximal, characteristic, complemented
4C2×#17989332C211yesmaximal, characteristic, complemented
5C2×#17989332C211yesmaximal, characteristic, complemented
6C2×#17989287C211yesmaximal, characteristic, complemented
7C2×#17989286C211yesmaximal, characteristic, complemented
8C2×#17989284C211yesmaximal, characteristic, complemented
9C2×#17989283C211yesmaximal, characteristic, complemented
10C2×#17989280C211yesmaximal, characteristic, complemented
11C2×#17989277C211yesmaximal, characteristic, complemented
12C2×#17989274C211yesmaximal, characteristic, complemented
13C2×#17989273C211yesmaximal, characteristic, complemented
14C2×#17989273C211yesmaximal, characteristic, complemented
15C2×#17989272C211yesmaximal, characteristic, complemented
16C2×#17989270C211yesmaximal, characteristic, complemented
17C2×#17989190C211yesmaximal, characteristic, complemented
18C2×#17989189C211yesmaximal, characteristic, complemented
19C2×#17989188C211yesmaximal, characteristic, complemented
20C2×#17989187C211yesmaximal, characteristic, complemented
21C2×#17989187C211yesmaximal, characteristic, complemented
22C2×#17989187C211yesmaximal, characteristic, complemented
23C2×#17989185C211yesmaximal, characteristic, complemented
24C2×#17989184C211yesmaximal, characteristic, complemented
25C2×#17989181C211yesmaximal, characteristic, complemented
26C2×#17989179C211yesmaximal, characteristic, complemented
27C2×#17989179C211yesmaximal, characteristic, complemented
28C2×#17989178C211yesmaximal, characteristic, complemented
29C2×#17989120C211yesmaximal, characteristic, complemented
30C2×#17989119C211yesmaximal, characteristic, complemented
31C2×#17989115C211yesmaximal, characteristic, complemented
32C2×#553×C73C211yesmaximal, characteristic, complemented
33C73⋊#564C22116yescomplemented
34#17989334C22116yescomplemented
35#17989332C22116yescomplemented
36#17989332C22116yescomplemented
37#17989287C22116yescomplemented
38#17989286C22116yescomplemented
39#17989284C22116yescomplemented
40#17989283C22116yescomplemented
41#17989280C22116yescomplemented
42#17989277C22116yescomplemented
43#17989274C22116yescomplemented
44#17989273C22116yescomplemented
45#17989273C22116yescomplemented
46#17989272C22116yescomplemented
47#17989270C22116yescomplemented
48#17989190C22116yescomplemented
49#17989189C22116yescomplemented
50#17989188C22116yescomplemented
51#17989187C22116yescomplemented
52#17989187C22116yescomplemented
53#17989187C22116yescomplemented
54#17989185C22116yescomplemented
55#17989184C22116yescomplemented
56#17989181C22116yescomplemented
57#17989179C22116yescomplemented
58#17989179C22116yescomplemented
59#17989178C22116yescomplemented
60C2×#14556587C2211yescharacteristic
61C2×#14556587C2211yescharacteristic
62#17989120C22116yescomplemented
63#17989119C22116yescomplemented
64#17989115C22116yescomplemented
65C2×#14556586C2211yescharacteristic
66C2×#14556586C2211yescharacteristic
67C2×#14556586C2211yescharacteristic
68C2×#14556586C2211yescharacteristic
69C2×#14556585C2211yescharacteristic
70C2×#14556585C2211yescharacteristic
71C2×#14556584C2211yescharacteristic
72C2×#14556584C2211yescharacteristic
73C2×#14556584C2211yescharacteristic
74C2×#14556584C2211yescharacteristic
75C2×#14556584C2211yescharacteristic
76C2×#14556584C2211yescharacteristic
77C2×#14556583C2211yescharacteristic
78C2×#14556583C2211yescharacteristic
79C2×#14556583C2211yescharacteristic
80C2×#14556582C2211yescharacteristic
81C2×#14556582C2211yescharacteristic
82C2×#14556582C2211yescharacteristic
83C2×#14556582C2211yescharacteristic
84C2×#14556582C2211yescharacteristic
85C2×#14556581C2211yescharacteristic
86C2×#14556581C2211yescharacteristic
87C2×#14556581C2211yescharacteristic
88C2×#14556581C2211yescharacteristic
89C2×#14556581C2211yescharacteristic
90C2×#14556581C2211yescharacteristic
91C2×#14556581C2211yescharacteristic
92C2×#14556581C2211yescharacteristic
93C2×#14556581C2211yescharacteristic
94C2×#14556581C2211yescharacteristic
95C2×#14556581C2211yescharacteristic
96C2×#14556581C2211yescharacteristic
97C2×#14556578C2211yescharacteristic
98C2×#14556577C2211yescharacteristic
99C2×#14556577C2211yescharacteristic
100C2×#14556576C2211yescharacteristic
101C2×#14556576C2211yescharacteristic
102C2×#14556576C2211yescharacteristic
103C2×#14556576C2211yescharacteristic
104C2×#14556576C2211yescharacteristic
105C2×#14556575C2211yescharacteristic
106C2×#14556575C2211yescharacteristic
107C2×#14556575C2211yescharacteristic
108C2×#14556574C2211yescharacteristic
109C2×#14556574C2211yescharacteristic
110C2×#14556574C2211yescharacteristic
111C2×#14556574C2211yescharacteristic
112C2×#14556574C2211yescharacteristic
113C2×#14556574C2211yescharacteristic
114C2×#14556573C2211yescharacteristic
115C2×#14556573C2211yescharacteristic
116C2×#14556573C2211yescharacteristic
117C2×#14556573C2211yescharacteristic
118C2×#14556573C2211yescharacteristic
119C2×#14556573C2211yescharacteristic
120C2×#14556573C2211yescharacteristic
121C2×#14556573C2211yescharacteristic
122C2×#14556573C2211yescharacteristic
123C2×#14556572C2211yescharacteristic
124C2×#14556572C2211yescharacteristic
125C2×#14556572C2211yescharacteristic
126C2×#14556572C2211yescharacteristic
127C2×#14556572C2211yescharacteristic
128C2×#14556571C2211yescharacteristic
129C2×#14556571C2211yescharacteristic
130C2×#14556570C2211yescharacteristic
131C2×#14556570C2211yescharacteristic
132C2×#14556570C2211yescharacteristic
133C2×#14556569C2211yescharacteristic
134C2×#14556569C2211yescharacteristic
135C2×#14556569C2211yescharacteristic
136C2×#14556569C2211yescharacteristic
137C2×#14556569C2211yescharacteristic
138C2×#14556568C2211yescharacteristic
139C2×#14556568C2211yescharacteristic
140C2×#14556568C2211yescharacteristic
141C2×#14556568C2211yescharacteristic
142C2×#14556568C2211yescharacteristic
143C2×#14556566C2211yescharacteristic
144C2×#14556565C2211yescharacteristic
145C2×#14556565C2211yescharacteristic
146C2×#14556565C2211yescharacteristic
147C2×#14556564C2211yescharacteristic
148C2×#14556564C2211yescharacteristic
149C2×#14556564C2211yescharacteristic
150C2×#14556564C2211yescharacteristic
151C2×#14556564C2211yescharacteristic
152C2×#14556563C2211yescharacteristic
153C2×#14556563C2211yescharacteristic
154C2×#14556563C2211yescharacteristic
155C2×#14556563C2211yescharacteristic
156C2×#14556563C2211yescharacteristic
157C2×#14556563C2211yescharacteristic
158C2×#14556563C2211yescharacteristic
159C2×#14556563C2211yescharacteristic
160C2×#14556563C2211yescharacteristic
161C2×#14556562C2211yescharacteristic
162C2×#14556562C2211yescharacteristic
163C2×#14556562C2211yescharacteristic
164C2×#14556562C2211yescharacteristic
165C2×#14556562C2211yescharacteristic
166C2×C4×Dic146C2211yescharacteristic
167C2×C4×Dic146C2211yescharacteristic
168C2×#14556556C2211yescharacteristic
169C2×C4×D292C2211yescharacteristic
170C2×C4×D292C2211yescharacteristic
171C2×D4×Dic73C2211yescharacteristic
172C2×D4×Dic73C2211yescharacteristic
173C2×#14556553C2211yescharacteristic
174C2×C4×C22⋊D73C2211yescharacteristic
175C2×C4×C22⋊D73C2211yescharacteristic
176C2×C4×C22⋊D73C2211yescharacteristic
177C2×C4×C22⋊D73C2211yescharacteristic
178C2×C4×C22⋊D73C2211yescharacteristic
179C2×C4×C22⋊D73C2211yescharacteristic
180C2×#14556551C2211yescharacteristic
181C2×#14556551C2211yescharacteristic
182C2×#14556551C2211yescharacteristic
183C2×#14556551C2211yescharacteristic
184C2×#14556551C2211yescharacteristic
185C2×#14556551C2211yescharacteristic
186C2×#14556550C2211yescharacteristic
187C2×#14556550C2211yescharacteristic
188C2×#14556550C2211yescharacteristic
189C2×#14556549C2211yescharacteristic
190C2×#14556549C2211yescharacteristic
191C2×#14556548C2211yescharacteristic
192C2×#14556548C2211yescharacteristic
193C2×#14556547C2211yescharacteristic
194C2×#14556547C2211yescharacteristic
195C2×#14556547C2211yescharacteristic
196C2×#14556547C2211yescharacteristic
197C22×C4⋊Dic73C2211yescharacteristic
198C22×#11924007C2211yescharacteristic
199C22×#11924007C2211yescharacteristic
200C2×C4⋊C4×D73C2211yescharacteristic
201C2×C4⋊C4×D73C2211yescharacteristic
202C2×C42×D73C2211yescharacteristic
203#553×C73C22116yescomplemented
204C2×#126×C73C2211yescharacteristic
205C2×#126×C73C2211yescharacteristic
206C2×#125×C73C2211yescharacteristic
207C2×#123×C73C2211yescharacteristic
208C2×#123×C73C2211yescharacteristic
209C2×#121×C73C2211yescharacteristic
210C2×#121×C73C2211yescharacteristic
211C2×#121×C73C2211yescharacteristic
212C2×#121×C73C2211yescharacteristic
213C2×C4×D4×C73C2211yescharacteristic
214C2×C4×D4×C73C2211yescharacteristic
215C2×C4×D4×C73C2211yescharacteristic
216C2×C4×D4×C73C2211yescharacteristic
217C2×#117×C73C2211yescharacteristic
218C22×C4⋊C4×C73C2211yescharacteristic
219C22×Dic146C2311yescharacteristic
220C22×Dic146C2311yescharacteristic
221C22×Dic146C2311yescharacteristic
222C22×D292C2311yescharacteristic
223C22×D292C2311yescharacteristic
224C22×D292C2311yescharacteristic
225C22×C22⋊D73C2311yescharacteristic
226C22×C22⋊D73C2311yescharacteristic
227C22×C22⋊D73C2311yescharacteristic
228C22×C22⋊D73C2311yescharacteristic
229C22×C22⋊D73C2311yescharacteristic
230C22×C22⋊D73C2311yescharacteristic
231C22×C22⋊D73C2311yescharacteristic
232C22×C22⋊D73C2311yescharacteristic
233C22×C22⋊D73C2311yescharacteristic
234C22×C22⋊D73C2311yescharacteristic
235C22×C22⋊D73C2311yescharacteristic
236C22×C22⋊D73C2311yescharacteristic
237C23×Dic73C2311yescharacteristic
238C23×Dic73C2311yescharacteristic
239C23×Dic73C2311yescharacteristic
240C23×Dic73C2311yescharacteristic
241C23×Dic73C2311yescharacteristic
242C23×Dic73C2311yescharacteristic
243C22×C4×D73C2311yescharacteristic
244C22×C4×D73C2311yescharacteristic
245C22×C4×D73C2311yescharacteristic
246C22×C4×D73C2311yescharacteristic
247C22×C4×D73C2311yescharacteristic
248C22×C4×D73C2311yescharacteristic
249C22×C4×D73C2311yescharacteristic
250C22×C4×D73C2311yescharacteristic
251C22×C4×D73C2311yescharacteristic
252#14556587C2318yes—
253#14556587C2318yes—
254#14556586C2318yes—
255#14556586C2318yes—
256#14556586C2318yes—
257#14556586C2318yes—
258#14556585C2318yes—
259#14556585C2318yes—
260#14556584C2318yes—
261#14556584C2318yes—
262#14556584C2318yes—
263#14556584C2318yes—
264#14556584C2318yes—
265#14556584C2318yes—
266#14556583C2318yes—
267#14556583C2318yes—
268#14556583C2318yes—
269#14556582C2318yes—
270#14556582C2318yes—
271#14556582C2318yes—
272#14556582C2318yes—
273#14556582C2318yes—
274#14556581C2318yes—
275#14556581C2318yes—
276#14556581C2318yes—
277#14556581C2318yes—
278#14556581C2318yes—
279#14556581C2318yes—
280#14556581C2318yes—
281#14556581C2318yes—
282#14556581C2318yes—
283#14556581C2318yes—
284#14556581C2318yes—
285#14556581C2318yes—
286#14556578C2318yes—
287#14556577C2318yes—
288#14556577C2318yes—
289#14556576C2318yes—
290#14556576C2318yes—
291#14556576C2318yes—
292#14556576C2318yes—
293#14556576C2318yes—
294#14556575C2318yes—
295#14556575C2318yes—
296#14556575C2318yes—
297#14556574C2318yes—
298#14556574C2318yes—
299#14556574C2318yes—
300#14556574C2318yes—
301#14556574C2318yes—
302#14556574C2318yes—
303#14556573C2318yes—
304#14556573C2318yes—
305#14556573C2318yes—
306#14556573C2318yes—
307#14556573C2318yes—
308#14556573C2318yes—
309#14556573C2318yes—
310#14556573C2318yes—
311#14556573C2318yes—
312#14556572C2318yes—
313#14556572C2318yes—
314#14556572C2318yes—
315#14556572C2318yes—
316#14556572C2318yes—
317#14556571C2318yes—
318#14556571C2318yes—
319#14556570C2318yes—
320#14556570C2318yes—
321#14556570C2318yes—
322#14556569C2318yes—
323#14556569C2318yes—
324#14556569C2318yes—
325#14556569C2318yes—
326#14556569C2318yes—
327#14556568C2318yes—
328#14556568C2318yes—
329#14556568C2318yes—
330#14556568C2318yes—
331#14556568C2318yes—
332#14556566C2318yes—
333#14556565C2318yes—
334#14556565C2318yes—
335#14556565C2318yes—
336#14556564C2318yes—
337#14556564C2318yes—
338#14556564C2318yes—
339#14556564C2318yes—
340#14556564C2318yes—
341#14556563C2318yes—
342#14556563C2318yes—
343#14556563C2318yes—
344#14556563C2318yes—
345#14556563C2318yes—
346#14556563C2318yes—
347#14556563C2318yes—
348#14556563C2318yes—
349#14556563C2318yes—
350#14556562C2318yes—
351#14556562C2318yes—
352#14556562C2318yes—
353#14556562C2318yes—
354#14556562C2318yes—
355C4×Dic146C2318yes—
356C4×Dic146C2318yes—
357#14556556C2318yes—
358C4×D292C2318yes—
359C4×D292C2318yes—
360D4×Dic73C2318yes—
361D4×Dic73C2318yes—
362#14556553C2318yes—
363C4×C22⋊D73C2318yes—
364C4×C22⋊D73C2318yes—
365C4×C22⋊D73C2318yes—
366C4×C22⋊D73C2318yes—
367C4×C22⋊D73C2318yes—
368C4×C22⋊D73C2318yes—
369#14556551C2318yes—
370#14556551C2318yes—
371#14556551C2318yes—
372#14556551C2318yes—
373#14556551C2318yes—
374#14556551C2318yes—
375#14556550C2318yes—
376#14556550C2318yes—
377#14556550C2318yes—
378#14556549C2318yes—
379#14556549C2318yes—
380#14556548C2318yes—
381#14556548C2318yes—
382#14556547C2318yes—
383#14556547C2318yes—
384#14556547C2318yes—
385#14556547C2318yes—
386C2×C4⋊Dic73C2318yes—
387C2×C4⋊Dic73C2311yescharacteristic
388C2×C4⋊Dic73C2311yescharacteristic
389C2×C4⋊Dic73C2311yescharacteristic
390C2×C4⋊Dic73C2311yescharacteristic
391C2×C4⋊Dic73C2311yescharacteristic
392C2×C4⋊Dic73C2311yescharacteristic
393C2×C4⋊Dic73C2311yescharacteristic
394C2×C4⋊Dic73C2311yescharacteristic
395C2×C4⋊Dic73C2311yescharacteristic
396C2×C4⋊Dic73C2311yescharacteristic
397C2×C4⋊Dic73C2311yescharacteristic
398C2×C4⋊Dic73C2311yescharacteristic
399C2×C4⋊Dic73C2311yescharacteristic
400C2×C4⋊Dic73C2311yescharacteristic
401C2×#11924007C2318yes—
402C2×#11924007C2318yes—
403C2×#11924007C2311yescharacteristic
404C2×#11924007C2311yescharacteristic
405C2×#11924007C2311yescharacteristic
406C2×#11924007C2311yescharacteristic
407C2×#11924007C2311yescharacteristic
408C2×#11924007C2311yescharacteristic
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
425C2×#11924007C2311yescharacteristic
426C2×#11924007C2311yescharacteristic
427C2×#11924007C2311yescharacteristic
428C2×#11924007C2311yescharacteristic
429C2×#11924007C2311yescharacteristic
430C2×#11924007C2311yescharacteristic
431C2×#11924007C2311yescharacteristic
432C2×#11924007C2311yescharacteristic
433C4⋊C4×D73C2318yes—
434C4⋊C4×D73C2318yes—
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×#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×C4×Dic73C2311yescharacteristic
468C2×C4×Dic73C2311yescharacteristic
469C2×C4×Dic73C2311yescharacteristic
470C2×C4×Dic73C2311yescharacteristic
471C2×C4×Dic73C2311yescharacteristic
472C2×C4×Dic73C2311yescharacteristic
473C2×C4×Dic73C2311yescharacteristic
474C2×C4×Dic73C2311yescharacteristic
475C2×C4×Dic73C2311yescharacteristic
476C2×C4×Dic73C2311yescharacteristic
477C2×C4×Dic73C2311yescharacteristic
478C42×D73C2318yes—
479C22×D4×C73C2311yescharacteristic
480C22×D4×C73C2311yescharacteristic
481C22×D4×C73C2311yescharacteristic
482C22×D4×C73C2311yescharacteristic
483C22×D4×C73C2311yescharacteristic
484C22×D4×C73C2311yescharacteristic
485C23×C4×C73C2311yescharacteristic
486C23×C4×C73C2311yescharacteristic
487C23×C4×C73C2311yescharacteristic
488C23×C4×C73C2311yescharacteristic
489C23×C4×C73C2311yescharacteristic
490C23×C4×C73C2311yescharacteristic
491#126×C73C2318yes—
492#126×C73C2318yes—
493#125×C73C2318yes—
494#123×C73C2318yes—
495#123×C73C2318yes—
496#121×C73C2318yes—
497#121×C73C2318yes—
498#121×C73C2318yes—
499#121×C73C2318yes—
500C4×D4×C73C2318yes—
501C4×D4×C73C2318yes—
502C4×D4×C73C2318yes—
503C4×D4×C73C2318yes—
504#117×C73C2318yes—
505C2×C4⋊C4×C73C2318yes—
506C2×C4⋊C4×C73C2311yescharacteristic
507C2×C4⋊C4×C73C2311yescharacteristic
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×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
530C23×D73C2411yescharacteristic
531C23×D73C2411yescharacteristic
532C2×Dic146—42no—
533C2×Dic146—42no—
534C2×Dic146—42no—
535C2×Dic146C2414yes—
536C2×Dic146C2414yes—
537C2×Dic146C2414yes—
538C2×D292—42no—
539C2×D292—42no—
540C2×D292—42no—
541C2×D292C2414yes—
542C2×D292C2414yes—
543C2×D292C2414yes—
544C2×C22⋊D73—42no—
545C2×C22⋊D73—42no—
546C2×C22⋊D73—42no—
547C2×C22⋊D73—42no—
548C2×C22⋊D73—42no—
549C2×C22⋊D73—42no—
550C2×C22⋊D73—42no—
551C2×C22⋊D73—42no—
552C2×C22⋊D73—42no—
553C2×C22⋊D73—42no—
554C2×C22⋊D73—42no—
555C2×C22⋊D73—42no—
556C2×C22⋊D73C2414yes—
557C2×C22⋊D73C2414yes—
558C2×C22⋊D73C2414yes—
559C2×C22⋊D73C2414yes—
560C2×C22⋊D73C2414yes—
561C2×C22⋊D73C2414yes—
562C2×C22⋊D73C2414yes—
563C2×C22⋊D73C2414yes—
564C2×C22⋊D73C2414yes—
565C2×C22⋊D73C2414yes—
566C2×C22⋊D73C2414yes—
567C2×C22⋊D73C2414yes—
568C22×Dic73—42no—
569C22×Dic73—42no—
570C22×Dic73—42no—
571C22×Dic73—42no—
572C22×Dic73—42no—
573C22×Dic73—42no—
574C22×Dic73C2411yescharacteristic
575C22×Dic73C2411yescharacteristic
576C22×Dic73C2411yescharacteristic
577C22×Dic73C2411yescharacteristic
578C22×Dic73C2411yescharacteristic
579C22×Dic73C2411yescharacteristic
580C22×Dic73C2411yescharacteristic
581C22×Dic73C2411yescharacteristic
582C22×Dic73C2411yescharacteristic
583C22×Dic73C2411yescharacteristic
584C22×Dic73C2411yescharacteristic
585C22×Dic73C2411yescharacteristic
586C22×Dic73C2411yescharacteristic
587C22×Dic73C2414yes—
588C22×Dic73C2414yes—
589C22×Dic73C2414yes—
590C22×Dic73C2414yes—
591C22×Dic73C2414yes—
592C22×Dic73C2414yes—
593C2×C4×D73—42no—
594C2×C4×D73—42no—
595C2×C4×D73—42no—
596C2×C4×D73—42no—
597C2×C4×D73—42no—
598C2×C4×D73—42no—
599C2×C4×D73—42no—
600C2×C4×D73—42no—
601C2×C4×D73—42no—
602C2×C4×D73C2414yes—
603C2×C4×D73C2414yes—
604C2×C4×D73C2414yes—
605C2×C4×D73C2414yes—
606C2×C4×D73C2414yes—
607C2×C4×D73C2414yes—
608C2×C4×D73C2414yes—
609C2×C4×D73C2414yes—
610C2×C4×D73C2414yes—
611C4⋊Dic73C2414yes—
612C4⋊Dic73C2414yes—
613C4⋊Dic73C2414yes—
614C4⋊Dic73C2414yes—
615C4⋊Dic73C2414yes—
616C4⋊Dic73C2414yes—
617C4⋊Dic73C2414yes—
618C4⋊Dic73C2414yes—
619C4⋊Dic73C2414yes—
620C4⋊Dic73C2414yes—
621C4⋊Dic73C2414yes—
622C4⋊Dic73C2414yes—
623C4⋊Dic73C2414yes—
624C4⋊Dic73C2414yes—
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—
645#11924007C2414yes—
646#11924007C2414yes—
647#11924007C2414yes—
648#11924007C2414yes—
649#11924007C2414yes—
650#11924007C2414yes—
651#11924007C2414yes—
652#11924007C2414yes—
653#11924007C2414yes—
654#11924007C2414yes—
655C22⋊Dic73C2414yes—
656C22⋊Dic73C2414yes—
657C22⋊Dic73C2414yes—
658C22⋊Dic73C2414yes—
659C22⋊Dic73C2414yes—
660C22⋊Dic73C2414yes—
661C22⋊Dic73C2414yes—
662C22⋊Dic73C2414yes—
663C22⋊Dic73C2414yes—
664C22⋊Dic73C2414yes—
665C22⋊Dic73C2414yes—
666C22⋊Dic73C2414yes—
667C22⋊Dic73C2414yes—
668C22⋊Dic73C2414yes—
669#11924005C2414yes—
670#11924005C2414yes—
671#11924005C2414yes—
672#11924005C2414yes—
673#11924005C2414yes—
674#11924005C2414yes—
675#11924005C2414yes—
676#11924005C2414yes—
677#11924005C2414yes—
678#11924005C2414yes—
679#11924005C2414yes—
680#11924005C2414yes—
681#11924005C2414yes—
682#11924005C2414yes—
683#11924005C2414yes—
684#11924005C2414yes—
685#11924005C2414yes—
686#11924005C2414yes—
687C4×Dic73C2414yes—
688C4×Dic73C2414yes—
689C4×Dic73C2414yes—
690C4×Dic73C2414yes—
691C4×Dic73C2414yes—
692C4×Dic73C2414yes—
693C4×Dic73C2414yes—
694C4×Dic73C2414yes—
695C4×Dic73C2414yes—
696C4×Dic73C2414yes—
697C4×Dic73C2414yes—
698C24×C73C2411yescharacteristic
699C24×C73C2411yescharacteristic
700C24×C73C2411yescharacteristic
701C24×C73C2411yescharacteristic
702C2×D4×C73—42no—
703C2×D4×C73—42no—
704C2×D4×C73—42no—
705C2×D4×C73—42no—
706C2×D4×C73—42no—
707C2×D4×C73—42no—
708C2×D4×C73C2414yes—
709C2×D4×C73C2414yes—
710C2×D4×C73C2414yes—
711C2×D4×C73C2414yes—
712C2×D4×C73C2414yes—
713C2×D4×C73C2414yes—
714C22×C4×C73—42no—
715C22×C4×C73—42no—
716C22×C4×C73—42no—
717C22×C4×C73—42no—
718C22×C4×C73—42no—
719C22×C4×C73—42no—
720C22×C4×C73C2411yescharacteristic
721C22×C4×C73C2411yescharacteristic
722C22×C4×C73C2411yescharacteristic
723C22×C4×C73C2411yescharacteristic
724C22×C4×C73C2411yescharacteristic
725C22×C4×C73C2411yescharacteristic
726C22×C4×C73C2411yescharacteristic
727C22×C4×C73C2411yescharacteristic
728C22×C4×C73C2411yescharacteristic
729C22×C4×C73C2411yescharacteristic
730C22×C4×C73C2411yescharacteristic
731C22×C4×C73C2414yes—
732C22×C4×C73C2414yes—
733C22×C4×C73C2414yes—
734C22×C4×C73C2414yes—
735C22×C4×C73C2414yes—
736C22×C4×C73C2414yes—
737C4⋊C4×C73C2414yes—
738C4⋊C4×C73C2414yes—
739C4⋊C4×C73C2414yes—
740C4⋊C4×C73C2414yes—
741C4⋊C4×C73C2414yes—
742C4⋊C4×C73C2414yes—
743C4⋊C4×C73C2414yes—
744C4⋊C4×C73C2414yes—
745C4⋊C4×C73C2414yes—
746C4⋊C4×C73C2414yes—
747C22⋊C4×C73C2414yes—
748C22⋊C4×C73C2414yes—
749C22⋊C4×C73C2414yes—
750C22⋊C4×C73C2414yes—
751C22⋊C4×C73C2414yes—
752C22⋊C4×C73C2414yes—
753C22⋊C4×C73C2414yes—
754C22⋊C4×C73C2414yes—
755C22⋊C4×C73C2414yes—
756C22⋊C4×C73C2414yes—
757C42×C73C2414yes—
758C42×C73C2414yes—
759C42×C73C2414yes—
760C23×C73—22no—
761C23×C73—22no—
762C23×C73—22no—
763C23×C73—22no—
764C23×C73—22no—
765C23×C73—22no—
766C23×C73—22no—
767C23×C73—22no—
768C23×C73—22no—
769C23×C73—22no—
770C23×C73—22no—
771C23×C73—22no—
772C23×C73C2512yes—
773C23×C73C2512yes—
774C23×C73C2512yes—
775C23×C73C2512yes—
776C23×C73C2511yescharacteristic
777C22×D73—22no—
778C22×D73—22no—
779C22×D73—22no—
780C22×D73—22no—
781C22×D73—22no—
782C22×D73—22no—
783C22×D73—22no—
784C22×D73—22no—
785C22×D73—22no—
786C22×D73C2512yes—
787C22×D73C2512yes—
788C22×D73C2512yes—
789D4×C73—44no—
790D4×C73—44no—
791D4×C73—44no—
792D4×C73—44no—
793D4×C73—44no—
794D4×C73—44no—
795C2×C4×C73—22no—
796C2×C4×C73—22no—
797C2×C4×C73—22no—
798C2×C4×C73—22no—
799C2×C4×C73—22no—
800C2×C4×C73—22no—
801C2×C4×C73—22no—
802C2×C4×C73—22no—
803C2×C4×C73—22no—
804C2×C4×C73—22no—
805C2×C4×C73—22no—
806C2×C4×C73—44no—
807C2×C4×C73—44no—
808C2×C4×C73—44no—
809C2×C4×C73—44no—
810C2×C4×C73—44no—
811C2×C4×C73—44no—
812C2×C4×C73C2512yes—
813C2×C4×C73C2512yes—
814C2×C4×C73C2512yes—
815C2×C4×C73C2512yes—
816C2×C4×C73C2512yes—
817C2×C4×C73C2512yes—
818C2×C4×C73C2512yes—
819C2×C4×C73C2512yes—
820C2×C4×C73C2512yes—
821C2×C4×C73C2512yes—
822C2×C4×C73C2512yes—
823C22⋊D73—44no—
824C22⋊D73—44no—
825C22⋊D73—44no—
826C22⋊D73—44no—
827C22⋊D73—44no—
828C22⋊D73—44no—
829C22⋊D73—44no—
830C22⋊D73—44no—
831C22⋊D73—44no—
832C22⋊D73—44no—
833C22⋊D73—44no—
834C22⋊D73—44no—
835C2×Dic73—22no—
836C2×Dic73—22no—
837C2×Dic73—22no—
838C2×Dic73—22no—
839C2×Dic73—22no—
840C2×Dic73—22no—
841C2×Dic73—22no—
842C2×Dic73—22no—
843C2×Dic73—22no—
844C2×Dic73—22no—
845C2×Dic73—22no—
846C2×Dic73—22no—
847C2×Dic73—22no—
848C2×Dic73—44no—
849C2×Dic73—44no—
850C2×Dic73—44no—
851C2×Dic73—44no—
852C2×Dic73—44no—
853C2×Dic73—44no—
854C2×Dic73C2512yes—
855C2×Dic73C2512yes—
856C2×Dic73C2512yes—
857C2×Dic73C2512yes—
858C2×Dic73C2512yes—
859C2×Dic73C2512yes—
860C2×Dic73C2512yes—
861C2×Dic73C2512yes—
862C2×Dic73C2512yes—
863C2×Dic73C2512yes—
864C2×Dic73C2512yes—
865C2×Dic73C2512yes—
866C2×Dic73C2512yes—
867D292—44no—
868D292—44no—
869D292—44no—
870C4×D73—44no—
871C4×D73—44no—
872C4×D73—44no—
873C4×D73—44no—
874C4×D73—44no—
875C4×D73—44no—
876C4×D73—44no—
877C4×D73—44no—
878C4×D73—44no—
879Dic146—44no—
880Dic146—44no—
881Dic146—44no—
882C22×C73—22no—
883C22×C73—22no—
884C22×C73—22no—
885C22×C73—22no—
886C22×C73—22no—
887C22×C73—22no—
888C22×C73—22no—
889C22×C73—22no—
890C22×C73—22no—
891C22×C73—22no—
892C22×C73—22no—
893C22×C73—22no—
894C22×C73—44no—
895C22×C73—44no—
896C22×C73—44no—
897C22×C73—44no—
898C22×C73#58512yes—
899C22×C73#58512yes—
900C22×C73#58512yes—
901C22×C73C2611yescharacteristic
902C2×D73—22no—
903C2×D73—22no—
904C2×D73—22no—
905C2×D73—22no—
906C2×D73—22no—
907C2×D73—22no—
908C2×D73—22no—
909C2×D73—22no—
910C2×D73—22no—
911C2×D73—44no—
912C2×D73—44no—
913C2×D73—44no—
914C4×C73—22no—
915C4×C73—22no—
916C4×C73—22no—
917C4×C73—22no—
918C4×C73—22no—
919C4×C73—22no—
920C4×C73—22no—
921C4×C73—22no—
922C4×C73—22no—
923C4×C73—22no—
924C4×C73—22no—
925Dic73—22no—
926Dic73—22no—
927Dic73—22no—
928Dic73—22no—
929Dic73—22no—
930Dic73—22no—
931Dic73—22no—
932Dic73—22no—
933Dic73—22no—
934Dic73—22no—
935Dic73—22no—
936Dic73—22no—
937Dic73—22no—
938C2×#3567—731nomaximal, Sylow
939C2×C73—42no—
940C2×C73—42no—
941C2×C73—42no—
942C2×C73—42no—
943C2×C73#356714yescomplemented
944C2×C73C2×#58511yescharacteristic
945C2×C73C2×#58511yescharacteristic
946C2×C73C2×#58511yescharacteristic
947D73—42no—
948D73—42no—
949D73—42no—
950#3567—7332no—
951C2×#564—731no—
952C2×#562—731no—
953C2×#562—731no—
954C2×#562—731no—
955C2×#553—731no—
956C2×#553—731no—
957C2×#553—731no—
958C2×#553—731no—
959C2×#553—731no—
960C2×#553D7311yescharacteristic, complemented
961C2×#552—731no—
962C2×#552—731no—
963C2×#552—731no—
964C2×#552—731no—
965C2×#552—731no—
966C2×#552—731no—
967C2×#540—731no—
968C2×#540—731no—
969C2×#540—731no—
970C2×#540—731no—
971C2×#540—731no—
972C2×#540—731no—
973C2×#539—731no—
974C2×#539—731no—
975C2×#539—731no—
976C2×#539—731no—
977C2×#539—731no—
978C2×#539—731no—
979C2×#529—731no—
980C2×#529—731no—
981C2×#529—731no—
982C73C2×#356711yescharacteristic, complemented, Sylow
983#564—7316no—
984#562—7316no—
985#562—7316no—
986#562—7316no—
987#553—7316no—
988#553—7316no—
989#553—7316no—
990#553—7316no—
991#553—7316no—
992#553C2×D73116yescomplemented
993#552—7316no—
994#552—7316no—
995#552—7316no—
996#552—7316no—
997#552—7316no—
998#552—7316no—
999#540—7316no—
1000#540—7316no—
1001#540—7316no—
1002#540—7316no—
1003#540—7316no—
1004#540—7316no—
1005#539—7316no—
1006#539—7316no—
1007#539—7316no—
1008#539—7316no—
1009#539—7316no—
1010#539—7316no—
1011C2×#127—731no—
1012C2×#127—731no—
1013#529—7316no—
1014#529—7316no—
1015#529—7316no—
1016C2×#126—731no—
1017C2×#126—731no—
1018C2×#126—731no—
1019C2×#126—731no—
1020C2×#126—731no—
1021C2×#126—731no—
1022C2×#126—731no—
1023C2×#126—731no—
1024C2×#126—731no—
1025C2×#126—731no—
1026C2×#126—731no—
1027C2×#126—731no—
1028C2×#126C2×D7311yescharacteristic
1029C2×#126C2×D7311yescharacteristic
1030C2×#125—731no—
1031C2×#125—731no—
1032C2×#125—731no—
1033C2×#125—731no—
1034C2×#125—731no—
1035C2×#125—731no—
1036C2×#125—731no—
1037C2×#125—731no—
1038C2×#125—731no—
1039C2×#125—731no—
1040C2×#125—731no—
1041C2×#125—731no—
1042C2×#125—731no—
1043C2×#125—731no—
1044C2×#125—731no—
1045C2×#125—731no—
1046C2×#125—731no—
1047C2×#125—731no—
1048C2×#125—731no—
1049C2×#125—731no—
1050C2×#125C2×D7311yescharacteristic
1051C2×#124—731no—
1052C2×#124—731no—
1053C2×#124—731no—
1054C2×#123—731no—
1055C2×#123—731no—
1056C2×#123—731no—
1057C2×#123—731no—
1058C2×#123—731no—
1059C2×#123—731no—
1060C2×#123—731no—
1061C2×#123—731no—
1062C2×#123—731no—
1063C2×#123—731no—
1064C2×#123—731no—
1065C2×#123—731no—
1066C2×#123—731no—
1067C2×#123—731no—
1068C2×#123—731no—
1069C2×#123—731no—
1070C2×#123—731no—
1071C2×#123—731no—
1072C2×#123—731no—
1073C2×#123—731no—
1074C2×#123—731no—
1075C2×#123—731no—
1076C2×#123—731no—
1077C2×#123—731no—
1078C2×#123—731no—
1079C2×#123—731no—
1080C2×#123—731no—
1081C2×#123—731no—
1082C2×#123C2×D7311yescharacteristic
1083C2×#123C2×D7311yescharacteristic
1084C2×C22⋊Q8—731no—
1085C2×C22⋊Q8—731no—
1086C2×C22⋊Q8—731no—
1087C2×C22⋊Q8—731no—
1088C2×C22⋊Q8—731no—
1089C2×C22⋊Q8—731no—
1090C2×C22⋊Q8—731no—
1091C2×C22⋊Q8—731no—
1092C2×C22⋊Q8—731no—
1093C2×C22⋊Q8—731no—
1094C2×C22⋊Q8—731no—
1095C2×C22⋊Q8—731no—
1096C2×C22⋊Q8—731no—
1097C2×C22⋊Q8—731no—
1098C2×C22⋊Q8—731no—
1099C2×#121—731no—
1100C2×#121—731no—
1101C2×#121—731no—
1102C2×#121—731no—
1103C2×#121—731no—
1104C2×#121—731no—
1105C2×#121—731no—
1106C2×#121—731no—
1107C2×#121—731no—
1108C2×#121—731no—
1109C2×#121—731no—
1110C2×#121—731no—
1111C2×#121—731no—
1112C2×#121—731no—
1113C2×#121—731no—
1114C2×#121—731no—
1115C2×#121—731no—
1116C2×#121—731no—
1117C2×#121—731no—
1118C2×#121—731no—
1119C2×#121—731no—
1120C2×#121—731no—
1121C2×#121—731no—
1122C2×#121C2×D7311yescharacteristic
1123C2×#121C2×D7311yescharacteristic
1124C2×#121C2×D7311yescharacteristic
1125C2×#121C2×D7311yescharacteristic
1126C2×C4×Q8—731no—
1127C2×C4×Q8—731no—
1128C2×C4×Q8—731no—
1129C2×C4×D4—731no—
1130C2×C4×D4—731no—
1131C2×C4×D4—731no—
1132C2×C4×D4—731no—
1133C2×C4×D4—731no—
1134C2×C4×D4—731no—
1135C2×C4×D4—731no—
1136C2×C4×D4—731no—
1137C2×C4×D4—731no—
1138C2×C4×D4—731no—
1139C2×C4×D4—731no—
1140C2×C4×D4—731no—
1141C2×C4×D4—731no—
1142C2×C4×D4—731no—
1143C2×C4×D4—731no—
1144C2×C4×D4—731no—
1145C2×C4×D4—731no—
1146C2×C4×D4C2×D7311yescharacteristic
1147C2×C4×D4C2×D7311yescharacteristic
1148C2×C4×D4C2×D7311yescharacteristic
1149C2×C4×D4C2×D7311yescharacteristic
1150C2×#117—731no—
1151C2×#117—731no—
1152C2×#117—731no—
1153C2×#117—731no—
1154C2×#117—731no—
1155C2×#117—731no—
1156C2×#117—731no—
1157C2×#117—731no—
1158C2×#117—731no—
1159C2×#117—731no—
1160C2×#117—731no—
1161C2×#117C2×D7311yescharacteristic
1162C22×C4⋊C4—731no—
1163C22×C4⋊C4—731no—
1164C22×C4⋊C4—731no—
1165C22×C4⋊C4—731no—
1166C22×C4⋊C4—731no—
1167C22×C4⋊C4C2×D7311yescharacteristic
1168C22×C42—731no—
1169C22×Q8—731no—
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×D4—731no—
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—731no—
1178C22×D4—731no—
1179C22×D4—731no—
1180C22×D4—731no—
1181C22×D4—731no—
1182C22×D4—731no—
1183C22×D4—731no—
1184C22×D4—731no—
1185C22×D4—731no—
1186C22×D4—731no—
1187C22×D4C22×D7311yescharacteristic
1188C22×D4C22×D7311yescharacteristic
1189C22×D4C22×D7311yescharacteristic
1190C22×D4C22×D7311yescharacteristic
1191C22×D4C22×D7311yescharacteristic
1192C22×D4C22×D7311yescharacteristic
1193C23×C4—731no—
1194C23×C4—731no—
1195C23×C4—731no—
1196C23×C4—731no—
1197C23×C4—731no—
1198C23×C4—731no—
1199C23×C4—731no—
1200C23×C4—731no—
1201C23×C4—731no—
1202C23×C4—731no—
1203C23×C4—731no—
1204C23×C4—731no—
1205C23×C4—731no—
1206C23×C4—731no—
1207C23×C4—731no—
1208C23×C4C22×D7311yescharacteristic
1209C23×C4C22×D7311yescharacteristic
1210C23×C4C22×D7311yescharacteristic
1211C23×C4C22×D7311yescharacteristic
1212C23×C4C22×D7311yescharacteristic
1213C23×C4C22×D7311yescharacteristic
1214#127—738no—
1215#127—738no—
1216#126—738no—
1217#126—738no—
1218#126—738no—
1219#126—738no—
1220#126—738no—
1221#126—738no—
1222#126—738no—
1223#126—738no—
1224#126—738no—
1225#126—738no—
1226#126—738no—
1227#126—738no—
1228#126C22×D7318yes—
1229#126C22×D7318yes—
1230#125—738no—
1231#125—738no—
1232#125—738no—
1233#125—738no—
1234#125—738no—
1235#125—738no—
1236#125—738no—
1237#125—738no—
1238#125—738no—
1239#125—738no—
1240#125—738no—
1241#125—738no—
1242#125—738no—
1243#125—738no—
1244#125—738no—
1245#125—738no—
1246#125—738no—
1247#125—738no—
1248#125—738no—
1249#125—738no—
1250#125C22×D7318yes—
1251#124—738no—
1252#124—738no—
1253#124—738no—
1254#123—738no—
1255#123—738no—
1256#123—738no—
1257#123—738no—
1258#123—738no—
1259#123—738no—
1260#123—738no—
1261#123—738no—
1262#123—738no—
1263#123—738no—
1264#123—738no—
1265#123—738no—
1266#123—738no—
1267#123—738no—
1268#123—738no—
1269#123—738no—
1270#123—738no—
1271#123—738no—
1272#123—738no—
1273#123—738no—
1274#123—738no—
1275#123—738no—
1276#123—738no—
1277#123—738no—
1278#123—738no—
1279#123—738no—
1280#123—738no—
1281#123—738no—
1282#123C22×D7318yes—
1283#123C22×D7318yes—
1284C22⋊Q8—738no—
1285C22⋊Q8—738no—
1286C22⋊Q8—738no—
1287C22⋊Q8—738no—
1288C22⋊Q8—738no—
1289C22⋊Q8—738no—
1290C22⋊Q8—738no—
1291C22⋊Q8—738no—
1292C22⋊Q8—738no—
1293C22⋊Q8—738no—
1294C22⋊Q8—738no—
1295C22⋊Q8—738no—
1296C22⋊Q8—738no—
1297C22⋊Q8—738no—
1298C22⋊Q8—738no—
1299#121—738no—
1300#121—738no—
1301#121—738no—
1302#121—738no—
1303#121—738no—
1304#121—738no—
1305#121—738no—
1306#121—738no—
1307#121—738no—
1308#121—738no—
1309#121—738no—
1310#121—738no—
1311#121—738no—
1312#121—738no—
1313#121—738no—
1314#121—738no—
1315#121—738no—
1316#121—738no—
1317#121—738no—
1318#121—738no—
1319#121—738no—
1320#121—738no—
1321#121—738no—
1322#121C22×D7318yes—
1323#121C22×D7318yes—
1324#121C22×D7318yes—
1325#121C22×D7318yes—
1326C4×Q8—738no—
1327C4×Q8—738no—
1328C4×Q8—738no—
1329C4×D4—738no—
1330C4×D4—738no—
1331C4×D4—738no—
1332C4×D4—738no—
1333C4×D4—738no—
1334C4×D4—738no—
1335C4×D4—738no—
1336C4×D4—738no—
1337C4×D4—738no—
1338C4×D4—738no—
1339C4×D4—738no—
1340C4×D4—738no—
1341C4×D4—738no—
1342C4×D4—738no—
1343C4×D4—738no—
1344C4×D4—738no—
1345C4×D4—738no—
1346C4×D4C22×D7318yes—
1347C4×D4C22×D7318yes—
1348C4×D4C22×D7318yes—
1349C4×D4C22×D7318yes—
1350#117—738no—
1351#117—738no—
1352#117—738no—
1353#117—738no—
1354#117—738no—
1355#117—738no—
1356#117—738no—
1357#117—738no—
1358#117—738no—
1359#117—738no—
1360#117—738no—
1361#117C22×D7318yes—
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—731no—
1375C2×C4⋊C4—731no—
1376C2×C4⋊C4—731no—
1377C2×C4⋊C4—731no—
1378C2×C4⋊C4—731no—
1379C2×C4⋊C4—731no—
1380C2×C4⋊C4—738no—
1381C2×C4⋊C4—738no—
1382C2×C4⋊C4—738no—
1383C2×C4⋊C4—731no—
1384C2×C4⋊C4—731no—
1385C2×C4⋊C4—731no—
1386C2×C4⋊C4—731no—
1387C2×C4⋊C4—731no—
1388C2×C4⋊C4—731no—
1389C2×C4⋊C4—731no—
1390C2×C4⋊C4—731no—
1391C2×C4⋊C4—731no—
1392C2×C4⋊C4—731no—
1393C2×C4⋊C4—731no—
1394C2×C4⋊C4—731no—
1395C2×C4⋊C4—731no—
1396C2×C4⋊C4—731no—
1397C2×C4⋊C4—731no—
1398C2×C4⋊C4—731no—
1399C2×C4⋊C4—731no—
1400C2×C4⋊C4—731no—
1401C2×C4⋊C4—731no—
1402C2×C4⋊C4—731no—
1403C2×C4⋊C4—731no—
1404C2×C4⋊C4—731no—
1405C2×C4⋊C4—731no—
1406C2×C4⋊C4—731no—
1407C2×C4⋊C4—731no—
1408C2×C4⋊C4—731no—
1409C2×C4⋊C4—738no—
1410C2×C4⋊C4—738no—
1411C2×C4⋊C4C22×D7311yescharacteristic
1412C2×C4⋊C4C22×D7311yescharacteristic
1413C2×C4⋊C4C22×D7311yescharacteristic
1414C2×C4⋊C4C22×D7311yescharacteristic
1415C2×C4⋊C4C22×D7311yescharacteristic
1416C2×C4⋊C4C22×D7311yescharacteristic
1417C2×C4⋊C4C22×D7318yes—
1418C2×C4⋊C4C22×D7311yescharacteristic
1419C2×C4⋊C4C22×D7311yescharacteristic
1420C2×C4⋊C4C22×D7311yescharacteristic
1421C2×C4⋊C4C22×D7311yescharacteristic
1422C2×C22⋊C4—731no—
1423C2×C22⋊C4—731no—
1424C2×C22⋊C4—731no—
1425C2×C22⋊C4—731no—
1426C2×C22⋊C4—731no—
1427C2×C22⋊C4—731no—
1428C2×C22⋊C4—731no—
1429C2×C22⋊C4—731no—
1430C2×C22⋊C4—731no—
1431C2×C22⋊C4—731no—
1432C2×C22⋊C4—731no—
1433C2×C22⋊C4—731no—
1434C2×C22⋊C4—731no—
1435C2×C22⋊C4—731no—
1436C2×C22⋊C4—731no—
1437C2×C22⋊C4—731no—
1438C2×C22⋊C4—731no—
1439C2×C22⋊C4—731no—
1440C2×C22⋊C4—731no—
1441C2×C22⋊C4—731no—
1442C2×C22⋊C4—731no—
1443C2×C22⋊C4—731no—
1444C2×C22⋊C4—731no—
1445C2×C22⋊C4—731no—
1446C2×C22⋊C4—731no—
1447C2×C22⋊C4—731no—
1448C2×C22⋊C4—731no—
1449C2×C22⋊C4—731no—
1450C2×C22⋊C4—731no—
1451C2×C22⋊C4—731no—
1452C2×C22⋊C4—731no—
1453C2×C22⋊C4—731no—
1454C2×C22⋊C4C22×D7311yescharacteristic
1455C2×C22⋊C4C22×D7311yescharacteristic
1456C2×C22⋊C4C22×D7311yescharacteristic
1457C2×C22⋊C4C22×D7311yescharacteristic
1458C2×C22⋊C4C22×D7311yescharacteristic
1459C2×C22⋊C4C22×D7311yescharacteristic
1460C2×C22⋊C4C22×D7311yescharacteristic
1461C2×C22⋊C4C22×D7311yescharacteristic
1462C2×C22⋊C4C22×D7311yescharacteristic
1463C2×C22⋊C4C22×D7311yescharacteristic
1464C2×C42—731no—
1465C2×C42—731no—
1466C2×C42—731no—
1467C2×C42—731no—
1468C2×C42—731no—
1469C2×C42—731no—
1470C2×C42—731no—
1471C2×C42—731no—
1472C2×C42—731no—
1473C2×C42—731no—
1474C2×C42—731no—
1475C2×C42—738no—
1476C2×C42C22×D7311yescharacteristic
1477C2×C42C22×D7311yescharacteristic
1478C2×C42C22×D7311yescharacteristic
1479C24—731no—
1480C24—731no—
1481C24—731no—
1482C24C23×D7311yescharacteristic
1483C24C23×D7311yescharacteristic
1484C24C23×D7311yescharacteristic
1485C24C23×D7311yescharacteristic
1486C2×Q8—2922no—
1487C2×Q8—2922no—
1488C2×Q8—2922no—
1489C2×Q8—734no—
1490C2×Q8—734no—
1491C2×Q8—734no—
1492C2×D4—42no—
1493C2×D4—42no—
1494C2×D4—42no—
1495C2×D4—42no—
1496C2×D4—42no—
1497C2×D4—42no—
1498C2×D4—2922no—
1499C2×D4—2922no—
1500C2×D4—2922no—
1501C2×D4—2922no—
1502C2×D4—2922no—
1503C2×D4—2922no—
1504C2×D4—2922no—
1505C2×D4—2922no—
1506C2×D4—2922no—
1507C2×D4—2922no—
1508C2×D4—2922no—
1509C2×D4—2922no—
1510C2×D4—2922no—
1511C2×D4—2922no—
1512C2×D4—2922no—
1513C2×D4—734no—
1514C2×D4—734no—
1515C2×D4—734no—
1516C2×D4—734no—
1517C2×D4—734no—
1518C2×D4—734no—
1519C2×D4—734no—
1520C2×D4—734no—
1521C2×D4—734no—
1522C2×D4—734no—
1523C2×D4—734no—
1524C2×D4—734no—
1525C2×D4—734no—
1526C2×D4—734no—
1527C2×D4—734no—
1528C2×D4C23×D7314yes—
1529C2×D4C23×D7314yes—
1530C2×D4C23×D7314yes—
1531C2×D4C23×D7314yes—
1532C2×D4C23×D7314yes—
1533C2×D4C23×D7314yes—
1534C22×C4—42no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—42no—
1539C22×C4—42no—
1540C22×C4—2922no—
1541C22×C4—2922no—
1542C22×C4—2922no—
1543C22×C4—2922no—
1544C22×C4—2922no—
1545C22×C4—2922no—
1546C22×C4—2922no—
1547C22×C4—2922no—
1548C22×C4—2922no—
1549C22×C4—2922no—
1550C22×C4—2922no—
1551C22×C4—2922no—
1552C22×C4—2922no—
1553C22×C4—2922no—
1554C22×C4—2922no—
1555C22×C4—734no—
1556C22×C4—734no—
1557C22×C4—734no—
1558C22×C4—734no—
1559C22×C4—734no—
1560C22×C4—734no—
1561C22×C4—734no—
1562C22×C4—734no—
1563C22×C4—734no—
1564C22×C4—734no—
1565C22×C4—734no—
1566C22×C4—734no—
1567C22×C4—734no—
1568C22×C4—734no—
1569C22×C4—734no—
1570C22×C4—731no—
1571C22×C4—731no—
1572C22×C4—731no—
1573C22×C4—731no—
1574C22×C4—731no—
1575C22×C4—731no—
1576C22×C4—731no—
1577C22×C4—731no—
1578C22×C4—731no—
1579C22×C4—731no—
1580C22×C4—731no—
1581C22×C4—731no—
1582C22×C4—731no—
1583C22×C4C23×D7311yescharacteristic
1584C22×C4C23×D7311yescharacteristic
1585C22×C4C23×D7311yescharacteristic
1586C22×C4C23×D7311yescharacteristic
1587C22×C4C23×D7311yescharacteristic
1588C22×C4C23×D7311yescharacteristic
1589C22×C4C23×D7311yescharacteristic
1590C22×C4C23×D7311yescharacteristic
1591C22×C4C23×D7311yescharacteristic
1592C22×C4C23×D7311yescharacteristic
1593C22×C4C23×D7311yescharacteristic
1594C22×C4C23×D7314yes—
1595C22×C4C23×D7314yes—
1596C22×C4C23×D7314yes—
1597C22×C4C23×D7314yes—
1598C22×C4C23×D7314yes—
1599C22×C4C23×D7314yes—
1600C4⋊C4—734no—
1601C4⋊C4—734no—
1602C4⋊C4—734no—
1603C4⋊C4—734no—
1604C4⋊C4—734no—
1605C4⋊C4—734no—
1606C4⋊C4—734no—
1607C4⋊C4—734no—
1608C4⋊C4—734no—
1609C4⋊C4—734no—
1610C4⋊C4—734no—
1611C4⋊C4—734no—
1612C4⋊C4—734no—
1613C4⋊C4—734no—
1614C4⋊C4—734no—
1615C4⋊C4—734no—
1616C4⋊C4—734no—
1617C4⋊C4—734no—
1618C4⋊C4—734no—
1619C4⋊C4—734no—
1620C4⋊C4—734no—
1621C4⋊C4—734no—
1622C4⋊C4—734no—
1623C4⋊C4—734no—
1624C4⋊C4—734no—
1625C4⋊C4—734no—
1626C4⋊C4—734no—
1627C4⋊C4—734no—
1628C4⋊C4—734no—
1629C4⋊C4—734no—
1630C4⋊C4—734no—
1631C4⋊C4—734no—
1632C4⋊C4—734no—
1633C4⋊C4—734no—
1634C4⋊C4—734no—
1635C4⋊C4—734no—
1636C4⋊C4—734no—
1637C4⋊C4—734no—
1638C4⋊C4—734no—
1639C4⋊C4—734no—
1640C4⋊C4—734no—
1641C4⋊C4—734no—
1642C4⋊C4—734no—
1643C4⋊C4—734no—
1644C4⋊C4C23×D7314yes—
1645C4⋊C4C23×D7314yes—
1646C4⋊C4C23×D7314yes—
1647C4⋊C4C23×D7314yes—
1648C4⋊C4C23×D7314yes—
1649C4⋊C4C23×D7314yes—
1650C4⋊C4C23×D7314yes—
1651C4⋊C4C23×D7314yes—
1652C4⋊C4C23×D7314yes—
1653C4⋊C4C23×D7314yes—
1654C22⋊C4—734no—
1655C22⋊C4—734no—
1656C22⋊C4—734no—
1657C22⋊C4—734no—
1658C22⋊C4—734no—
1659C22⋊C4—734no—
1660C22⋊C4—734no—
1661C22⋊C4—734no—
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—734no—
1678C22⋊C4—734no—
1679C22⋊C4—734no—
1680C22⋊C4—734no—
1681C22⋊C4—734no—
1682C22⋊C4—734no—
1683C22⋊C4—734no—
1684C22⋊C4—734no—
1685C22⋊C4—734no—
1686C22⋊C4C23×D7314yes—
1687C22⋊C4C23×D7314yes—
1688C22⋊C4C23×D7314yes—
1689C22⋊C4C23×D7314yes—
1690C22⋊C4C23×D7314yes—
1691C22⋊C4C23×D7314yes—
1692C22⋊C4C23×D7314yes—
1693C22⋊C4C23×D7314yes—
1694C22⋊C4C23×D7314yes—
1695C22⋊C4C23×D7314yes—
1696C42—734no—
1697C42—734no—
1698C42—734no—
1699C42—734no—
1700C42—734no—
1701C42—734no—
1702C42—734no—
1703C42—734no—
1704C42—734no—
1705C42—734no—
1706C42—734no—
1707C42C23×D7314yes—
1708C42C23×D7314yes—
1709C42C23×D7314yes—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—732no—
1723C23—732no—
1724C23—732no—
1725C23—1462no—
1726C23—1462no—
1727C23—1462no—
1728C23—1462no—
1729C23—1462no—
1730C23—1462no—
1731C23—1462no—
1732C23—1462no—
1733C23—1462no—
1734C23C24×D7312yes—
1735C23C24×D7312yes—
1736C23C24×D7312yes—
1737C23C24×D7312yes—
1738C23C24×D7311yescharacteristic
1739Q8—2924no—
1740Q8—2924no—
1741Q8—2924no—
1742D4—44no—
1743D4—44no—
1744D4—44no—
1745D4—44no—
1746D4—44no—
1747D4—44no—
1748D4—2924no—
1749D4—2924no—
1750D4—2924no—
1751D4—2924no—
1752D4—2924no—
1753D4—2924no—
1754D4—2924no—
1755D4—2924no—
1756D4—2924no—
1757D4—2924no—
1758D4—2924no—
1759D4—2924no—
1760D4—2924no—
1761D4—2924no—
1762D4—2924no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—2924no—
1781C2×C4—2924no—
1782C2×C4—2924no—
1783C2×C4—2924no—
1784C2×C4—2924no—
1785C2×C4—2924no—
1786C2×C4—2924no—
1787C2×C4—2924no—
1788C2×C4—2924no—
1789C2×C4—2924no—
1790C2×C4—2924no—
1791C2×C4—2924no—
1792C2×C4—2924no—
1793C2×C4—2924no—
1794C2×C4—2924no—
1795C2×C4—732no—
1796C2×C4—732no—
1797C2×C4—732no—
1798C2×C4—732no—
1799C2×C4—732no—
1800C2×C4—732no—
1801C2×C4—732no—
1802C2×C4—732no—
1803C2×C4—732no—
1804C2×C4—732no—
1805C2×C4—732no—
1806C2×C4—732no—
1807C2×C4—732no—
1808C2×C4—1462no—
1809C2×C4—1462no—
1810C2×C4—1462no—
1811C2×C4—1462no—
1812C2×C4—1462no—
1813C2×C4—1462no—
1814C2×C4—1462no—
1815C2×C4—1462no—
1816C2×C4—1462no—
1817C2×C4—1462no—
1818C2×C4—1462no—
1819C2×C4—1462no—
1820C2×C4—1462no—
1821C2×C4C24×D7312yes—
1822C2×C4C24×D7312yes—
1823C2×C4C24×D7312yes—
1824C2×C4C24×D7312yes—
1825C2×C4C24×D7312yes—
1826C2×C4C24×D7312yes—
1827C2×C4C24×D7312yes—
1828C2×C4C24×D7312yes—
1829C2×C4C24×D7312yes—
1830C2×C4C24×D7312yes—
1831C2×C4C24×D7312yes—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—44no—
1845C22—44no—
1846C22—44no—
1847C22—44no—
1848C22—2924no—
1849C22—2924no—
1850C22—2924no—
1851C22—1462no—
1852C22—1462no—
1853C22—1462no—
1854C22—1462no—
1855C22—1462no—
1856C22—1462no—
1857C22—1462no—
1858C22—1462no—
1859C22—1462no—
1860C22#1798942212yes—
1861C22#1798942312yes—
1862C22#1798942312yes—
1863C22C25×D7311yescharacteristic
1864C4—22no—
1865C4—22no—
1866C4—22no—
1867C4—22no—
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—1462no—
1876C4—1462no—
1877C4—1462no—
1878C4—1462no—
1879C4—1462no—
1880C4—1462no—
1881C4—1462no—
1882C4—1462no—
1883C4—1462no—
1884C4—1462no—
1885C4—1462no—
1886C4—1462no—
1887C4—1462no—
1888C2—42no—
1889C2—42no—
1890C2—42no—
1891C2—42no—
1892C2—2922no—
1893C2—2922no—
1894C2—2922no—
1895C2#2262461514yesdirect product factor
1896C2C2×#1798942211yescharacteristic
1897C2C2×#1798942311yescharacteristic
1898C2C2×#1798942311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#553×C73C2
socleC23×C73C25
hypercenterC2×#553D73
hypocenterC73C2×#3567
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #22624615C2direct (N × H)
2. C2×C73⋊#564C2semidirect
3. C2×#17989334C2semidirect
4. C2×#17989332C2semidirect
5. C2×#17989332C2semidirect
6. C2×#17989287C2semidirect
7. C2×#17989286C2semidirect
8. C2×#17989284C2semidirect
9. C2×#17989283C2semidirect
10. C2×#17989280C2semidirect
11. C2×#17989277C2semidirect
12. C2×#17989274C2semidirect
13. C2×#17989273C2semidirect
14. C2×#17989273C2semidirect
15. C2×#17989272C2semidirect
16. C2×#17989270C2semidirect
17. C2×#17989190C2semidirect
18. C2×#17989189C2semidirect
19. C2×#17989188C2semidirect
20. C2×#17989187C2semidirect
21. C2×#17989187C2semidirect
22. C2×#17989187C2semidirect
23. C2×#17989185C2semidirect
24. C2×#17989184C2semidirect
25. C2×#17989181C2semidirect
26. C2×#17989179C2semidirect
27. C2×#17989179C2semidirect
28. C2×#17989178C2semidirect
29. C2×#17989120C2semidirect
30. C2×#17989119C2semidirect
31. C2×#17989115C2semidirect
32. C2×#553×C73C2semidirect
33. C73⋊#564C22semidirect
34. #17989334C22semidirect
35. #17989332C22semidirect
36. #17989332C22semidirect
37. #17989287C22semidirect
38. #17989286C22semidirect
39. #17989284C22semidirect
40. #17989283C22semidirect
41. #17989280C22semidirect
42. #17989277C22semidirect
43. #17989274C22semidirect
44. #17989273C22semidirect
45. #17989273C22semidirect
46. #17989272C22semidirect
47. #17989270C22semidirect
48. #17989190C22semidirect
49. #17989189C22semidirect
50. #17989188C22semidirect
51. #17989187C22semidirect
52. #17989187C22semidirect
53. #17989187C22semidirect
54. #17989185C22semidirect
55. #17989184C22semidirect
56. #17989181C22semidirect
57. #17989179C22semidirect
58. #17989179C22semidirect
59. #17989178C22semidirect
62. #17989120C22semidirect
63. #17989119C22semidirect
64. #17989115C22semidirect
203. #553×C73C22semidirect
943. C2×C73#3567semidirect
960. C2×#553D73semidirect
982. C73C2×#3567semidirect
992. #553C2×D73semidirect
1895. C2#22624615direct (N × H)

Maximal subgroups

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

subgroupindex
#226246152
C2×C73⋊#5642
C2×#179893342
C2×#179893322
C2×#179892872
C2×#179892862
C2×#179892842
C2×#179892832
C2×#179892802
C2×#179892772
C2×#179892742
C2×#179892732
C2×#179892722
C2×#179892702
C2×#179891902
C2×#179891892
C2×#179891882
C2×#179891872
C2×#179891852
C2×#179891842
C2×#179891812
C2×#179891792
C2×#179891782
C2×#179891202
C2×#179891192
C2×#179891152
C2×#553×C732
C2×#356773