Finite Group Databasebeta

← #33971537

Subgroups — #33971537

Order 18688.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624247C211yesmaximal, characteristic, complemented
2#22623564C211yesmaximal, characteristic, complemented
3#22622174C211yesmaximal, characteristic, complemented
4#22622134C211yesmaximal, characteristic, complemented
5#22622089C211yesmaximal, characteristic, complemented
6#22622074C211yesmaximal, characteristic, complemented
7#22621954C211yesmaximal, characteristic, complemented
8#22621894C211yesmaximal, characteristic, complemented
9#22621768C211yesmaximal, characteristic, complemented
10#22621745C211yesmaximal, characteristic, complemented
11#22621618C211yesmaximal, characteristic, complemented
12D4×D584C211yesmaximal, characteristic, complemented
13#22621553C211yesmaximal, characteristic, complemented
14#22621543C211yesmaximal, characteristic, complemented
15#22621476C211yesmaximal, characteristic, complemented
16#22621416C211yesmaximal, characteristic, complemented
17#22621416C211yesmaximal, characteristic, complemented
18#22621416C211yesmaximal, characteristic, complemented
19#22621027C211yesmaximal, characteristic, complemented
20#22620983C211yesmaximal, characteristic, complemented
21#22620796C211yesmaximal, characteristic, complemented
22#22620785C211yesmaximal, characteristic, complemented
23#22620747C211yesmaximal, characteristic, complemented
24#22620724C211yesmaximal, characteristic, complemented
25#22620175C211yesmaximal, characteristic, complemented
26#22620117C211yesmaximal, characteristic, complemented
27#22619238C211yesmaximal, characteristic, complemented
28#22619201C211yesmaximal, characteristic, complemented
29#22619161C211yesmaximal, characteristic, complemented
30C2×#17988723C211yesmaximal, characteristic, complemented
31C73×#2976C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C23×D292C2211yescharacteristic, complemented
34C2×#14556619C2211yescharacteristic, complemented
35C2×#14556619C2211yescharacteristic, complemented
36C2×#14556619C2211yescharacteristic, complemented
37C2×#14556619C2211yescharacteristic, complemented
38C2×#14556613C2211yescharacteristic, complemented
39C22×D584C2211yescharacteristic, complemented
40C22×D584C2211yescharacteristic, complemented
41C22×D584C2211yescharacteristic, complemented
42#17989333—21no—
43#17989325—21no—
44#17989302C2211yescharacteristic, complemented
45#17989283C2211yescharacteristic, complemented
46#17989277C2211yescharacteristic, complemented
47#17989264—21no—
48#17989258C2211yescharacteristic, complemented
49#17989241C2211yescharacteristic, complemented
50#17989233C2211yescharacteristic
51#17989233C2211yescharacteristic, complemented
52#17989233C2211yescharacteristic, complemented
53#17989233C2211yescharacteristic, complemented
54#17989233C2211yescharacteristic, complemented
55#17989233C2211yescharacteristic, complemented
56#17989228—21no—
57#17989228—21no—
58#17989226—21no—
59D4×D292C2211yescharacteristic
60D4×D292C2211yescharacteristic, complemented
61D4×D292C2211yescharacteristic, complemented
62D4×D292C2211yescharacteristic, complemented
63D4×D292C2211yescharacteristic, complemented
64#17989221—21no—
65#17989221—21no—
66#17989208C2211yescharacteristic, complemented
67#17989192C2211yescharacteristic, complemented
68#17989189—21no—
69#17989173—21no—
70#17989165C2211yescharacteristic, complemented
71#17989156C2211yescharacteristic, complemented
72#17989152—21no—
73#17989151C2211yescharacteristic, complemented
74#17989151C2211yescharacteristic, complemented
75#17989148—21no—
76#17989148—21no—
77#17989147—21no—
78#17989098C2211yescharacteristic, complemented
79#17989098C2211yescharacteristic, complemented
80C2×#14556565C2211yescharacteristic, complemented
81#120×D73—21no—
82#120×D73—21no—
83#17989061C2211yescharacteristic, complemented
84#17988976C2211yescharacteristic, complemented
85#17988976C2211yescharacteristic, complemented
86#17988971C2211yescharacteristic, complemented
87#17988964C2211yescharacteristic, complemented
88#17988952C2211yescharacteristic, complemented
89#17988947C2211yescharacteristic, complemented
90#17988942C2211yescharacteristic, complemented
91#17988934C2211yescharacteristic, complemented
92#17988929C2211yescharacteristic, complemented
93#17988929C2211yescharacteristic, complemented
94#17988918C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988912C2211yescharacteristic, complemented
97#17988912C2211yescharacteristic, complemented
98#17988912C2211yescharacteristic, complemented
99#17988912C2211yescharacteristic, complemented
100#17988912C2211yescharacteristic, complemented
101#17988906C2211yescharacteristic, complemented
102#17988901C2211yescharacteristic, complemented
103#17988901C2211yescharacteristic, complemented
104#17988888C2211yescharacteristic, complemented
105#17988888C2211yescharacteristic, complemented
106#17988878C2211yescharacteristic, complemented
107#17988868C2211yescharacteristic, complemented
108#17988840C2211yescharacteristic, complemented
109#17988840C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic, complemented
111#17988840C2211yescharacteristic, complemented
112#17988840C2211yescharacteristic, complemented
113#17988833C2211yescharacteristic, complemented
114#17988833C2211yescharacteristic, complemented
115#17988833C2211yescharacteristic, complemented
116#17988828C2211yescharacteristic, complemented
117#17988823C2211yescharacteristic, complemented
118#17988823C2211yescharacteristic, complemented
119#17988823C2211yescharacteristic, complemented
120#17988823C2211yescharacteristic, complemented
121#17988816C2211yescharacteristic, complemented
122#17988816C2211yescharacteristic, complemented
123#17988816C2211yescharacteristic, complemented
124#17988810C2211yescharacteristic, complemented
125#17988803C2211yescharacteristic, complemented
126#17988803C2211yescharacteristic, complemented
127#17988803C2211yescharacteristic, complemented
128#17988803C2211yescharacteristic, complemented
129#17988803C2211yescharacteristic, complemented
130#17988788C2211yescharacteristic, complemented
131#17988783C2211yescharacteristic, complemented
132#17988783C2211yescharacteristic, complemented
133#17988783C2211yescharacteristic, complemented
134#17988783C2211yescharacteristic, complemented
135#17988783C2211yescharacteristic, complemented
136#17988751C2211yescharacteristic, complemented
137#17988751C2211yescharacteristic, complemented
138#17988751C2211yescharacteristic, complemented
139#17988740C2211yescharacteristic, complemented
140#17988740C2211yescharacteristic, complemented
141#17988740C2211yescharacteristic, complemented
142#17988740C2211yescharacteristic, complemented
143#17988740C2211yescharacteristic, complemented
144#17988740C2211yescharacteristic, complemented
145#17988734C2211yescharacteristic, complemented
146#17988734C2211yescharacteristic, complemented
147#17988734C2211yescharacteristic, complemented
148#17988734C2211yescharacteristic, complemented
149#17988734C2211yescharacteristic, complemented
150#17988734C2211yescharacteristic, complemented
151#17988734C2211yescharacteristic, complemented
152#17988734C2211yescharacteristic, complemented
153#17988734C2211yescharacteristic, complemented
154#17988723C2211yescharacteristic
155#17988723C2211yescharacteristic, complemented
156#17988723C2211yescharacteristic, complemented
157#17988723C2211yescharacteristic, complemented
158#17988723C2211yescharacteristic, complemented
159#17988723C2211yescharacteristic, complemented
160#17988723C2211yescharacteristic, complemented
161#17988723C2211yescharacteristic, complemented
162#17988723C2211yescharacteristic, complemented
163#17988723C2211yescharacteristic, complemented
164#17988723C2211yescharacteristic, complemented
165#17988723C2211yescharacteristic, complemented
166#17988723C2211yescharacteristic, complemented
167#17988723C2211yescharacteristic, complemented
168#17988723C2211yescharacteristic, complemented
169#17988723C2211yescharacteristic, complemented
170#17988723C2211yescharacteristic, complemented
171#17988723C2211yescharacteristic, complemented
172#17988700C2211yescharacteristic, complemented
173#17988700C2211yescharacteristic, complemented
174#17988700C2211yescharacteristic, complemented
175#17988689C2211yescharacteristic, complemented
176C4×#11924017C2211yescharacteristic, complemented
177C4×D584C2211yescharacteristic, complemented
178C4×D584C2211yescharacteristic, complemented
179C4×D584C2211yescharacteristic, complemented
180#17988593C2211yescharacteristic, complemented
181#17988593C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic, complemented
183#17988589C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185C2×#14556513C2211yescharacteristic, complemented
186C2×#14556513C2211yescharacteristic, complemented
187C2×#14556513C2211yescharacteristic, complemented
188#525×C73C2211yescharacteristic
189#436×C73C2211yescharacteristic, complemented
190#436×C73C2211yescharacteristic, complemented
191#435×C73C2211yescharacteristic, complemented
192#435×C73C2211yescharacteristic, complemented
193#435×C73C2211yescharacteristic, complemented
194#435×C73C2211yescharacteristic, complemented
195C8×D4×C73C2211yescharacteristic, complemented
196C8×D4×C73C2211yescharacteristic, complemented
197#433×C73C2211yescharacteristic, complemented
198#433×C73C2211yescharacteristic, complemented
199#408×C73C2211yescharacteristic, complemented
200#408×C73C2211yescharacteristic, complemented
201#407×C73C2211yescharacteristic, complemented
202C2×C22⋊C8×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556637—42no—
205#14556637—42no—
206C2×#11924029—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic, complemented
212C2×#11924027—21no—
213C22×D292—21no—
214C22×D292—21no—
215C22×D292—21no—
216C22×D292—42no—
217C22×D292—42no—
218C22×D292C2311yescharacteristic
219C22×D292C2311yescharacteristic
220C22×D292C2311yescharacteristic
221C22×D292C2311yescharacteristic
222C22×D292C2311yescharacteristic
223C22×D292C2311yescharacteristic
224C22×D292C2311yescharacteristic
225C22×D292C2311yescharacteristic
226C22×D292C2311yescharacteristic
227C22×D292C2311yescharacteristic, complemented
228C22×C22⋊D73—21no—
229C2×D4×D73—21no—
230C2×D4×D73—21no—
231C2×D4×D73—21no—
232C2×D4×D73—21no—
233C2×D4×D73—21no—
234C2×D4×D73—21no—
235C2×D4×D73—21no—
236C2×D4×D73—21no—
237#14556619—42no—
238#14556619—42no—
239#14556619—42no—
240#14556619—42no—
241#14556613—42no—
242C2×Dic292C2311yescharacteristic, complemented
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic, complemented
248C2×#11924017C2311yescharacteristic, complemented
249C2×#11924017C2311yescharacteristic, complemented
250C2×#11924017C2311yescharacteristic, complemented
251C2×D584—42no—
252C2×D584—42no—
253C2×D584—42no—
254C2×D584C2311yescharacteristic
255C2×D584C2311yescharacteristic
256C2×D584C2311yescharacteristic
257C2×D584C2311yescharacteristic
258C2×D584C2311yescharacteristic
259C2×D584C2311yescharacteristic
260C2×D584C2311yescharacteristic
261C2×D584C2311yescharacteristic
262C2×D584C2311yescharacteristic
263C2×D584C2311yescharacteristic
264C2×D584C2311yescharacteristic
265C2×D584C2311yescharacteristic
266C2×D584C2311yescharacteristic, complemented
267C2×D584C2311yescharacteristic, complemented
268C2×D584C2311yescharacteristic, complemented
269#14556591C2311yescharacteristic, complemented
270#14556588C2311yescharacteristic
271#14556588C2311yescharacteristic
272#14556588C2311yescharacteristic, complemented
273#14556587—21no—
274#14556587—21no—
275#14556587—21no—
276#14556586—21no—
277#14556586—21no—
278#14556584—21no—
279#14556583C2311yescharacteristic, complemented
280#14556581—21no—
281#14556580—21no—
282#14556580—21no—
283#14556579C2311yescharacteristic
284#14556579C2311yescharacteristic
285#14556579C2311yescharacteristic, complemented
286#14556577—21no—
287#14556577—21no—
288#14556577—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556576—21no—
296#14556576—21no—
297#14556575—21no—
298#14556575—21no—
299#14556574—21no—
300#14556574—21no—
301#14556573—21no—
302#14556573—21no—
303#14556572—21no—
304#14556571—21no—
305#14556570C2311yescharacteristic
306#14556570C2311yescharacteristic
307#14556570C2311yescharacteristic
308#14556570C2311yescharacteristic
309#14556570C2311yescharacteristic, complemented
310#14556569—21no—
311#14556567—21no—
312#14556566—21no—
313#14556566—21no—
314#14556566—21no—
315#14556566—21no—
316#14556566—21no—
317#14556566—21no—
318#14556566—21no—
319#14556565—21no—
320#14556565—21no—
321#14556565C2311yescharacteristic
322#14556565C2311yescharacteristic
323#14556565C2311yescharacteristic
324#14556565C2311yescharacteristic
325#14556565C2311yescharacteristic
326#14556565C2311yescharacteristic
327#14556565C2311yescharacteristic
328#14556565C2311yescharacteristic
329#14556565C2311yescharacteristic
330#14556565C2311yescharacteristic
331#14556565C2311yescharacteristic
332#14556565C2311yescharacteristic
333#14556565C2311yescharacteristic, complemented
334#14556565C2311yescharacteristic, complemented
335#14556565C2311yescharacteristic, complemented
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556564—21no—
345#14556564—21no—
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556562—21no—
350#14556562—21no—
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556561—21no—
359#14556561—21no—
360#14556561—21no—
361#14556561—21no—
362#14556561—21no—
363#14556560—21no—
364#14556560—21no—
365#14556559—21no—
366#14556559—21no—
367#14556559—21no—
368#14556559—21no—
369#14556559—21no—
370#14556559—21no—
371#14556559—21no—
372#14556559—21no—
373#14556559—21no—
374#14556559—21no—
375C4×Dic146C2311yescharacteristic, complemented
376C4×D292C2311yescharacteristic
377C4×D292C2311yescharacteristic
378C4×D292C2311yescharacteristic
379C4×D292C2311yescharacteristic
380C4×D292C2311yescharacteristic, complemented
381C4×D292C2311yescharacteristic, complemented
382C4×D292C2311yescharacteristic, complemented
383#14556553—21no—
384#14556553—21no—
385#14556553—21no—
386C4×C22⋊D73—21no—
387C4×C22⋊D73—21no—
388C4×C22⋊D73—21no—
389C4×C22⋊D73—21no—
390#14556551—21no—
391#14556550C2311yescharacteristic
392#14556550C2311yescharacteristic
393#14556550C2311yescharacteristic, complemented
394#14556549—21no—
395#14556547—21no—
396C2×C4⋊Dic73C2311yescharacteristic
397C2×C4⋊Dic73C2311yescharacteristic, complemented
398C2×#11924005—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404C22⋊C4×D73—21no—
405C22⋊C4×D73—21no—
406C22⋊C4×D73—21no—
407#14556525C2311yescharacteristic, complemented
408#14556525C2311yescharacteristic, complemented
409#14556525C2311yescharacteristic, complemented
410#14556525C2311yescharacteristic, complemented
411#14556523C2311yescharacteristic, complemented
412#14556523C2311yescharacteristic, complemented
413#14556523C2311yescharacteristic, complemented
414#14556523C2311yescharacteristic, complemented
415#14556516C2311yescharacteristic, complemented
416#14556516C2311yescharacteristic, complemented
417#14556516C2311yescharacteristic, complemented
418#14556516C2311yescharacteristic, complemented
419#14556516C2311yescharacteristic, complemented
420#14556516C2311yescharacteristic, complemented
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556513C2311yescharacteristic
430#14556513C2311yescharacteristic
431#14556513C2311yescharacteristic
432#14556513C2311yescharacteristic
433#14556513C2311yescharacteristic
434#14556513C2311yescharacteristic
435#14556513C2311yescharacteristic
436#14556513C2311yescharacteristic
437#14556513C2311yescharacteristic, complemented
438#14556513C2311yescharacteristic, complemented
439#14556513C2311yescharacteristic, complemented
440#14556513C2311yescharacteristic, complemented
441#14556513C2311yescharacteristic, complemented
442#14556513C2311yescharacteristic, complemented
443#14556513C2311yescharacteristic, complemented
444#14556513C2311yescharacteristic, complemented
445#14556513C2311yescharacteristic, complemented
446#14556513C2311yescharacteristic, complemented
447C2×#41×C73C2311yescharacteristic
448C23×C4×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C2×M16×C73C2311yescharacteristic
451C2×M16×C73C2311yescharacteristic, complemented
452C2×M16×C73C2311yescharacteristic, complemented
453C22×C8×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic, complemented
456C22×C8×C73C2311yescharacteristic, complemented
457#123×C73D411yescharacteristic
458#123×C73D411yescharacteristic
459C22⋊Q8×C73D411yescharacteristic
460C22⋊Q8×C73D411yescharacteristic
461#121×C73D411yescharacteristic
462#121×C73D411yescharacteristic
463#120×C73D411yescharacteristic
464#120×C73D411yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469#117×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic, complemented
471C4⋊C8×C73C2311yescharacteristic, complemented
472C4⋊C8×C73C2311yescharacteristic, complemented
473C4⋊C8×C73C2311yescharacteristic, complemented
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic, complemented
483C22⋊C8×C73C2311yescharacteristic, complemented
484C22⋊C8×C73C2311yescharacteristic, complemented
485C22⋊C8×C73C2311yescharacteristic, complemented
486#97×C73C2311yescharacteristic, complemented
487#97×C73C2311yescharacteristic, complemented
488C4×C8×C73C2311yescharacteristic, complemented
489C4×C8×C73C2311yescharacteristic, complemented
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496C23×D73—21no—
497C23×D73—21no—
498C23×D73—21no—
499C23×D73—21no—
500C23×D73—44no—
501C23×D73—82no—
502C23×D73—82no—
503#11924029—44no—
504#11924028—22no—
505#11924028—22no—
506#11924028—41no—
507#11924028—41no—
508#11924028—41no—
509#11924028—41no—
510#11924028—41no—
511#11924028—41no—
512#11924028—41no—
513#11924028—41no—
514#11924027—82no—
515C2×Dic146—21no—
516C2×Dic146C2411yescharacteristic
517C2×Dic146C2411yescharacteristic
518C2×D292—21no—
519C2×D292—22no—
520C2×D292—22no—
521C2×D292—22no—
522C2×D292—22no—
523C2×D292—22no—
524C2×D292—22no—
525C2×D292—22no—
526C2×D292—22no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292—21no—
536C2×D292—21no—
537C2×D292—21no—
538C2×D292—21no—
539C2×D292—21no—
540C2×D292—21no—
541C2×D292—21no—
542C2×D292—41no—
543C2×D292—41no—
544C2×D292—41no—
545C2×D292—41no—
546C2×D292—41no—
547C2×D292—41no—
548C2×D292—41no—
549C2×D292—41no—
550C2×D292—41no—
551C2×D292—41no—
552C2×D292—41no—
553C2×D292—41no—
554C2×D292—44no—
555C2×D292—44no—
556C2×D292—44no—
557C2×D292C2411yescharacteristic
558C2×D292C2411yescharacteristic
559C2×D292C2411yescharacteristic
560C2×D292C2411yescharacteristic
561C2×D292C2411yescharacteristic
562C2×D292C2411yescharacteristic
563C2×D292C2411yescharacteristic
564C2×D292C2411yescharacteristic
565C2×C22⋊D73—21no—
566C2×C22⋊D73—21no—
567C2×C22⋊D73—21no—
568C2×C22⋊D73—21no—
569C2×C22⋊D73—21no—
570C2×C22⋊D73—21no—
571C2×C22⋊D73—21no—
572C2×C22⋊D73—21no—
573C2×C22⋊D73—21no—
574C2×C22⋊D73—21no—
575C2×C22⋊D73—21no—
576C2×C22⋊D73—21no—
577C2×C22⋊D73—21no—
578C2×C22⋊D73—21no—
579C2×C22⋊D73—21no—
580C2×C22⋊D73—21no—
581C2×C22⋊D73—21no—
582C2×C22⋊D73—21no—
583C2×C22⋊D73—21no—
584C2×C22⋊D73—21no—
585C2×C22⋊D73—82no—
586D4×D73—44no—
587D4×D73—44no—
588D4×D73—44no—
589D4×D73—82no—
590D4×D73—82no—
591D4×D73—82no—
592D4×D73—82no—
593D4×D73—82no—
594C22×Dic73—21no—
595C22×Dic73—21no—
596C2×C4×D73—21no—
597C2×C4×D73—21no—
598C2×C4×D73—21no—
599C2×C4×D73—21no—
600C2×C4×D73—21no—
601C2×C4×D73—21no—
602C2×C4×D73—21no—
603C2×C4×D73—21no—
604C2×C4×D73—21no—
605C2×C4×D73—21no—
606C2×C4×D73—21no—
607C2×C4×D73—21no—
608Dic292—41no—
609#11924017—22no—
610#11924017—22no—
611#11924017—41no—
612#11924017—41no—
613#11924017—41no—
614#11924017—41no—
615#11924017—41no—
616#11924017—41no—
617D584—22no—
618D584—22no—
619D584—22no—
620D584—22no—
621D584—22no—
622D584—22no—
623D584—41no—
624D584—41no—
625D584—41no—
626D584—41no—
627D584—41no—
628D584—41no—
629D584—41no—
630D584—41no—
631D584—41no—
632C4⋊Dic73—21no—
633C4⋊Dic73—21no—
634C4⋊Dic73—21no—
635C4⋊Dic73C2411yescharacteristic
636C4⋊Dic73C2411yescharacteristic
637C4⋊Dic73C2411yescharacteristic
638C4⋊Dic73C2411yescharacteristic
639C4⋊Dic73C2411yescharacteristic
640C4⋊Dic73C2411yescharacteristic
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007—21no—
648#11924007—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005—21no—
679#11924005—21no—
680#11924005—21no—
681#11924005—21no—
682#11924005—21no—
683#11924005—21no—
684#11924005—21no—
685C4×Dic73—21no—
686C4×Dic73—21no—
687C4×Dic73—21no—
688C4×Dic73—21no—
689C24×C73C2×D411yescharacteristic
690#41×C73—41no—
691#41×C73—41no—
692C2×Q8×C73C2×D411yescharacteristic
693C2×D4×C73C2×D411yescharacteristic
694C2×D4×C73C2×D411yescharacteristic
695C2×D4×C73C2×D411yescharacteristic
696C2×D4×C73C2×D411yescharacteristic
697C2×D4×C73C2×D411yescharacteristic
698C2×D4×C73C2×D411yescharacteristic
699C2×D4×C73C2×D411yescharacteristic
700C22×C4×C73—41no—
701C22×C4×C73—41no—
702C22×C4×C73C2×D411yescharacteristic
703C22×C4×C73C2×D411yescharacteristic
704C22×C4×C73C2×D411yescharacteristic
705C22×C4×C73C2411yescharacteristic
706C22×C4×C73C2411yescharacteristic
707C22×C4×C73C2411yescharacteristic
708C22×C4×C73C2411yescharacteristic
709C22×C4×C73C2411yescharacteristic
710M16×C73—41no—
711M16×C73—41no—
712M16×C73—41no—
713M16×C73—41no—
714C2×C8×C73—41no—
715C2×C8×C73—41no—
716C2×C8×C73—41no—
717C2×C8×C73—41no—
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C2×C8×C73C2411yescharacteristic
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C2×C8×C73C2411yescharacteristic
726C4⋊C4×C73C2×D411yescharacteristic
727C4⋊C4×C73C2×D411yescharacteristic
728C4⋊C4×C73C2×D411yescharacteristic
729C4⋊C4×C73C2×D411yescharacteristic
730C4⋊C4×C73C2×D411yescharacteristic
731C4⋊C4×C73C2×D411yescharacteristic
732C22⋊C4×C73C2×D411yescharacteristic
733C22⋊C4×C73C2×D411yescharacteristic
734C22⋊C4×C73C2×D411yescharacteristic
735C22⋊C4×C73C2×D411yescharacteristic
736C22⋊C4×C73C2×D411yescharacteristic
737C22⋊C4×C73C2×D411yescharacteristic
738C22⋊C4×C73C2×D411yescharacteristic
739C22⋊C4×C73C2×D411yescharacteristic
740C22⋊C4×C73C2×D411yescharacteristic
741C22⋊C4×C73C2×D411yescharacteristic
742C42×C73C2411yescharacteristic
743C42×C73C2411yescharacteristic
744C23×C73—22no—
745C23×C73—41no—
746C23×C73—41no—
747C23×C73C22×D411yescharacteristic
748C23×C73C22×D411yescharacteristic
749C23×C73C22×D411yescharacteristic
750C23×C73C22×D411yescharacteristic
751C23×C73C22×D411yescharacteristic
752C22×D73—21no—
753C22×D73—21no—
754C22×D73—24no—
755C22×D73—21no—
756C22×D73—21no—
757C22×D73—21no—
758C22×D73—21no—
759C22×D73—21no—
760C22×D73—21no—
761C22×D73—42no—
762C22×D73—42no—
763C22×D73—42no—
764C22×D73—42no—
765C22×D73—42no—
766C22×D73—42no—
767C22×D73—42no—
768C22×D73—42no—
769C22×D73—42no—
770C22×D73—42no—
771C22×D73—42no—
772C22×D73—42no—
773C22×D73—81no—
774C22×D73—81no—
775C22×D73—81no—
776C22×D73—81no—
777C22×D73—81no—
778C22×D73—81no—
779C22×D73—81no—
780C22×D73—81no—
781C22×D73—81no—
782C22×D73—81no—
783C22×D73—81no—
784C22×D73—81no—
785C22×D73—81no—
786C22×D73—81no—
787C22×D73—81no—
788C22×D73—81no—
789C22×D73—81no—
790C22×D73—816no—
791Q8×C73—41no—
792D4×C73—22no—
793D4×C73—22no—
794D4×C73—41no—
795D4×C73—41no—
796D4×C73—41no—
797D4×C73—41no—
798D4×C73—41no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—21no—
805C2×C4×C73—21no—
806C2×C4×C73—21no—
807C2×C4×C73—21no—
808C2×C4×C73—21no—
809C2×C4×C73—41no—
810C2×C4×C73—41no—
811C2×C4×C73—41no—
812C2×C4×C73C22×D411yescharacteristic
813C2×C4×C73C22×D411yescharacteristic
814C2×C4×C73C22×D411yescharacteristic
815C2×C4×C73C22×D411yescharacteristic
816C2×C4×C73C22×D411yescharacteristic
817C2×C4×C73C22×D411yescharacteristic
818C2×C4×C73C22×D411yescharacteristic
819C2×C4×C73C22×D411yescharacteristic
820C2×C4×C73C22×D411yescharacteristic
821C2×C4×C73C2511yescharacteristic
822C22⋊D73—42no—
823C22⋊D73—42no—
824C22⋊D73—42no—
825C22⋊D73—42no—
826C22⋊D73—42no—
827C22⋊D73—42no—
828C22⋊D73—81no—
829C22⋊D73—81no—
830C22⋊D73—81no—
831C22⋊D73—81no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C22⋊D73—81no—
838C22⋊D73—81no—
839C22⋊D73—81no—
840C22⋊D73—81no—
841C22⋊D73—81no—
842C2×Dic73—21no—
843C2×Dic73—21no—
844C2×Dic73—21no—
845C2×Dic73—21no—
846C2×Dic73—21no—
847C2×Dic73—21no—
848C2×Dic73—21no—
849C2×Dic73—21no—
850C2×Dic73—42no—
851C2×Dic73—81no—
852D292—24no—
853D292—21no—
854D292—21no—
855D292—21no—
856D292—21no—
857D292—21no—
858D292—21no—
859D292—21no—
860D292—21no—
861D292—21no—
862D292—21no—
863D292—21no—
864D292—21no—
865D292—21no—
866D292—21no—
867D292—42no—
868D292—42no—
869D292—42no—
870D292—42no—
871D292—42no—
872D292—42no—
873D292—42no—
874D292—81no—
875D292—81no—
876D292—81no—
877D292—81no—
878D292—81no—
879D292—81no—
880D292—81no—
881D292—81no—
882D292H(5,𝔽2)12yes—
883D292H(5,𝔽2)12yes—
884C4×D73—42no—
885C4×D73—42no—
886C4×D73—42no—
887C4×D73—81no—
888C4×D73—81no—
889C4×D73—81no—
890C4×D73—81no—
891C4×D73—81no—
892C4×D73—81no—
893C4×D73—81no—
894C4×D73—81no—
895C4×D73—81no—
896Dic146—21no—
897Dic146—21no—
898Dic146—21no—
899Dic146—21no—
900Dic146—81no—
901C8×C73—21no—
902C8×C73—21no—
903C8×C73—21no—
904C8×C73—21no—
905C8×C73—21no—
906C8×C73—21no—
907C8×C73—21no—
908C8×C73—21no—
909C22×C73—21no—
910C22×C73—21no—
911C22×C73—21no—
912C22×C73—21no—
913C22×C73—21no—
914C22×C73—21no—
915C22×C73—21no—
916C22×C73—21no—
917C22×C73—21no—
918C22×C73—21no—
919C22×C73—21no—
920C22×C73—21no—
921C22×C73—21no—
922C22×C73—21no—
923C22×C73—44no—
924C22×C73#57612yes—
925C22×C73C23×D411yescharacteristic
926C2×D73—22no—
927C2×D73—22no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—41no—
931C2×D73—41no—
932C2×D73—41no—
933C2×D73—41no—
934C2×D73—41no—
935C2×D73—41no—
936C2×D73—41no—
937C2×D73—41no—
938C2×D73—41no—
939C2×D73—41no—
940C2×D73—41no—
941C2×D73—41no—
942C2×D73—41no—
943C2×D73—41no—
944C2×D73—41no—
945C2×D73—41no—
946C2×D73—41no—
947C2×D73—41no—
948C2×D73—41no—
949C2×D73—41no—
950C2×D73—84no—
951C2×D73—84no—
952C2×D73—84no—
953C2×D73—84no—
954C2×D73—84no—
955C2×D73—84no—
956C2×D73—162no—
957C2×D73—162no—
958C2×D73—162no—
959C2×D73—162no—
960C4×C73—21no—
961C4×C73—21no—
962C4×C73—21no—
963C4×C73—21no—
964C4×C73—21no—
965C4×C73—21no—
966C4×C73—21no—
967C4×C73—21no—
968C4×C73—21no—
969C4×C73C2×H(5,𝔽2)11yescharacteristic
970C4×C73C2×H(5,𝔽2)11yescharacteristic
971Dic73—41no—
972Dic73—41no—
973Dic73—41no—
974Dic73—41no—
975Dic73—41no—
976Dic73—41no—
977Dic73—41no—
978Dic73—41no—
979#61609—731nomaximal, Sylow
980C2×C73—22no—
981C2×C73—41no—
982C2×C73—41no—
983C2×C73—41no—
984C2×C73—41no—
985C2×C73#348411yescharacteristic
986C2×C73C2×#57611yescharacteristic
987C2×C73#358511yescharacteristic
988D73—42no—
989D73—42no—
990D73—81no—
991D73—81no—
992D73—81no—
993D73—81no—
994D73—81no—
995D73—81no—
996#3542—731no—
997#3484—731no—
998#3325—731no—
999#3322—731no—
1000#3319—731no—
1001#3318—731no—
1002#3310—731no—
1003#3306—731no—
1004#3296—731no—
1005#3294—731no—
1006#3280—731no—
1007D4×D8—731no—
1008#3274—731no—
1009#3273—731no—
1010#3268—731no—
1011#3264—731no—
1012#3264—731no—
1013#3264—731no—
1014#3224—731no—
1015#3220—731no—
1016#3199—731no—
1017#3198—731no—
1018#3194—731no—
1019#3191—731no—
1020#3122—731no—
1021#3118—731no—
1022#3012—731no—
1023#3008—731no—
1024#3003—731no—
1025C2×#447—731no—
1026#2976D7311yescharacteristic, complemented
1027C73#6160911yescharacteristic, complemented, Sylow
1028C2×H(5,𝔽2)—731no—
1029C23×D4—731no—
1030C2×AGL(1,ℤ/8)—731no—
1031C2×AGL(1,ℤ/8)—731no—
1032C2×AGL(1,ℤ/8)—731no—
1033C2×AGL(1,ℤ/8)—731no—
1034C2×#135—731no—
1035C22×D8—731no—
1036C22×D8—731no—
1037C22×D8—731no—
1038#562—1461no—
1039#560—1461no—
1040#555—731no—
1041#553—731no—
1042#552—731no—
1043#551—1461no—
1044#550—731no—
1045#547—731no—
1046#546—731no—
1047#546—731no—
1048#546—731no—
1049#546—731no—
1050#546—731no—
1051#546—731no—
1052#546—1461no—
1053#546—1461no—
1054#546—1461no—
1055D42—731no—
1056D42—731no—
1057D42—731no—
1058D42—731no—
1059D42—731no—
1060D42—1461no—
1061D42—1461no—
1062#542—731no—
1063#540—731no—
1064#540—1461no—
1065#538—1461no—
1066#537—731no—
1067#535—731no—
1068#535—731no—
1069#535—731no—
1070#535—1461no—
1071#534—1461no—
1072#534—1461no—
1073#534—1461no—
1074#525—731no—
1075#525—731no—
1076#525C2×D7311yescharacteristic
1077C2×#121—731no—
1078C2×#120—1461no—
1079C2×#120—1461no—
1080#518—731no—
1081#496—731no—
1082#496—731no—
1083#495—731no—
1084#493—731no—
1085#490—731no—
1086#489—731no—
1087#488—731no—
1088#486—731no—
1089#485—731no—
1090#485—731no—
1091#483—731no—
1092#482—731no—
1093#482—731no—
1094#482—731no—
1095#482—731no—
1096#482—731no—
1097#482—731no—
1098#481—731no—
1099#480—731no—
1100#480—731no—
1101#478—731no—
1102#478—731no—
1103#476—731no—
1104#474—731no—
1105#469—731no—
1106#469—731no—
1107#469—731no—
1108#469—731no—
1109#469—731no—
1110#468—731no—
1111#468—731no—
1112#468—731no—
1113#467—731no—
1114#466—731no—
1115#466—731no—
1116#466—731no—
1117#466—731no—
1118#465—731no—
1119#465—731no—
1120#465—731no—
1121#464—731no—
1122#463—731no—
1123#463—731no—
1124#463—731no—
1125#463—731no—
1126#463—731no—
1127#460—731no—
1128#459—731no—
1129#459—731no—
1130#459—731no—
1131#459—731no—
1132#459—731no—
1133#452—731no—
1134#452—731no—
1135#452—731no—
1136#450—731no—
1137#450—731no—
1138#450—731no—
1139#450—731no—
1140#450—731no—
1141#450—731no—
1142#449—731no—
1143#449—731no—
1144#449—731no—
1145#449—731no—
1146#449—731no—
1147#449—731no—
1148#449—731no—
1149#449—731no—
1150#449—731no—
1151#447—731no—
1152#447—731no—
1153#447—731no—
1154#447—731no—
1155#447—731no—
1156#447—731no—
1157#447—731no—
1158#447—731no—
1159#447—731no—
1160#447—731no—
1161#447—731no—
1162#447—731no—
1163#447—731no—
1164#447—731no—
1165#447—731no—
1166#447—731no—
1167#447—731no—
1168#447—731no—
1169#442—731no—
1170#442—731no—
1171#442—731no—
1172#440—731no—
1173C4×SD16—731no—
1174C4×D8—731no—
1175C4×D8—731no—
1176C4×D8—731no—
1177#436C2×D7311yescharacteristic, complemented
1178#436C2×D7311yescharacteristic, complemented
1179#435C2×D7311yescharacteristic, complemented
1180#435C2×D7311yescharacteristic, complemented
1181#435C2×D7311yescharacteristic, complemented
1182#435C2×D7311yescharacteristic, complemented
1183C8×D4C2×D7311yescharacteristic, complemented
1184C8×D4C2×D7311yescharacteristic, complemented
1185#433C2×D7311yescharacteristic, complemented
1186#433C2×D7311yescharacteristic, complemented
1187#418—731no—
1188#418—731no—
1189#418—731no—
1190#417—731no—
1191#416—731no—
1192C2×#102—731no—
1193C2×#102—731no—
1194C2×#102—731no—
1195#408C2×D7311yescharacteristic, complemented
1196#408C2×D7311yescharacteristic, complemented
1197#407C2×D7311yescharacteristic, complemented
1198C2×C22⋊C8C2×D7311yescharacteristic, complemented
1199C25—1461no—
1200H(5,𝔽2)—2922no—
1201H(5,𝔽2)—2922no—
1202C2×#41—731no—
1203C2×#41—731no—
1204C2×#41—731no—
1205C2×#41—731no—
1206C2×#41—731no—
1207C2×#41—1461no—
1208C2×#41—1461no—
1209C2×#41C22×D7311yescharacteristic
1210C22×D4—2922no—
1211C22×D4—2922no—
1212C22×D4—731no—
1213C22×D4—731no—
1214C22×D4—731no—
1215C22×D4—731no—
1216C22×D4—731no—
1217C22×D4—731no—
1218C22×D4—731no—
1219C22×D4—731no—
1220C22×D4—731no—
1221C22×D4—731no—
1222C22×D4—1461no—
1223C22×D4—1461no—
1224C22×D4—1461no—
1225C22×D4—1461no—
1226C22×D4—1461no—
1227C22×D4—1461no—
1228C22×D4—1461no—
1229C22×D4—1461no—
1230C22×D4—1461no—
1231C22×D4—1461no—
1232C22×D4—1461no—
1233C22×D4—1461no—
1234C23×C4C22×D7311yescharacteristic
1235AGL(1,ℤ/8)—2922no—
1236AGL(1,ℤ/8)—2922no—
1237AGL(1,ℤ/8)—2922no—
1238AGL(1,ℤ/8)—2922no—
1239#135—2922no—
1240C2×Q16—731no—
1241C2×SD16—731no—
1242C2×SD16—731no—
1243C2×SD16—731no—
1244C2×SD16—731no—
1245C2×SD16—731no—
1246C2×SD16—731no—
1247C2×SD16—731no—
1248C2×SD16—731no—
1249C2×D8—2922no—
1250C2×D8—2922no—
1251C2×D8—2922no—
1252C2×D8—731no—
1253C2×D8—731no—
1254C2×D8—731no—
1255C2×D8—731no—
1256C2×D8—731no—
1257C2×D8—731no—
1258C2×D8—731no—
1259C2×D8—731no—
1260C2×D8—731no—
1261C2×D8—731no—
1262C2×D8—731no—
1263C2×D8—731no—
1264C2×D8—731no—
1265C2×D8—731no—
1266C2×D8—731no—
1267C2×M16C22×D7311yescharacteristic
1268C2×M16C22×D7311yescharacteristic
1269C2×M16C22×D7311yescharacteristic, complemented
1270C2×M16C22×D7311yescharacteristic, complemented
1271C22×C8C22×D7311yescharacteristic
1272C22×C8C22×D7311yescharacteristic
1273C22×C8C22×D7311yescharacteristic, complemented
1274C22×C8C22×D7311yescharacteristic, complemented
1275C4⋊Q8—731no—
1276#127—731no—
1277#127—731no—
1278#127—731no—
1279#127—1461no—
1280#127—1461no—
1281#127—1461no—
1282#126—1461no—
1283#126—1461no—
1284#126—1461no—
1285#125—731no—
1286#125—1461no—
1287#124—731no—
1288#124—731no—
1289#124—731no—
1290#124—1461no—
1291#124—1461no—
1292#124—1461no—
1293#124—1461no—
1294#124—1461no—
1295#123—1461no—
1296#123—1461no—
1297#123—1461no—
1298#123—1461no—
1299#123—1461no—
1300#123—1461no—
1301#123—1461no—
1302#123—1461no—
1303#123—1461no—
1304#123—1461no—
1305#123—1461no—
1306#123—1461no—
1307#123—1461no—
1308#123—1461no—
1309#123—1461no—
1310#123D29211yescharacteristic
1311#123D29211yescharacteristic
1312C22⋊Q8—731no—
1313C22⋊Q8—731no—
1314C22⋊Q8—731no—
1315C22⋊Q8—731no—
1316C22⋊Q8—731no—
1317C22⋊Q8—1461no—
1318C22⋊Q8—1461no—
1319C22⋊Q8—1461no—
1320C22⋊Q8D29211yescharacteristic
1321C22⋊Q8D29211yescharacteristic
1322#121—731no—
1323#121—731no—
1324#121—731no—
1325#121—731no—
1326#121—731no—
1327#121—731no—
1328#121—731no—
1329#121—731no—
1330#121—731no—
1331#121—731no—
1332#121—731no—
1333#121—731no—
1334#121—731no—
1335#121—731no—
1336#121—731no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121—1461no—
1350#121—1461no—
1351#121—1461no—
1352#121—1461no—
1353#121—1461no—
1354#121—1461no—
1355#121—1461no—
1356#121—1461no—
1357#121—1461no—
1358#121—1461no—
1359#121—1461no—
1360#121—1461no—
1361#121D29211yescharacteristic
1362#121D29211yescharacteristic
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368#120—1461no—
1369#120—1461no—
1370#120—1461no—
1371#120—1461no—
1372#120—1461no—
1373#120—1461no—
1374#120—1461no—
1375#120—1461no—
1376#120—1461no—
1377#120—1461no—
1378#120—1461no—
1379#120—1461no—
1380#120—1461no—
1381#120—1461no—
1382#120—1461no—
1383#120—1461no—
1384#120—1461no—
1385#120—1461no—
1386#120—1461no—
1387#120D29211yescharacteristic
1388#120D29211yescharacteristic
1389C4×Q8—731no—
1390C4×D4—731no—
1391C4×D4—731no—
1392C4×D4—731no—
1393C4×D4—731no—
1394C4×D4—731no—
1395C4×D4—731no—
1396C4×D4—731no—
1397C4×D4—1461no—
1398C4×D4—1461no—
1399C4×D4—1461no—
1400C4×D4—1461no—
1401C4×D4—1461no—
1402C4×D4—1461no—
1403C4×D4—1461no—
1404C4×D4—1461no—
1405C4×D4C22×D7311yescharacteristic
1406C4×D4C22×D7311yescharacteristic
1407C4×D4C22×D7311yescharacteristic
1408C4×D4C22×D7311yescharacteristic
1409#117—731no—
1410#117—731no—
1411#117—731no—
1412#117—1461no—
1413#117—1461no—
1414#117C22×D7311yescharacteristic
1415C2×C4⋊C4—731no—
1416C2×C4⋊C4—731no—
1417C2×C22⋊C4—1461no—
1418C2×C22⋊C4—1461no—
1419C2×C22⋊C4—1461no—
1420C2×C22⋊C4—1461no—
1421C2×C22⋊C4—1461no—
1422C2×C22⋊C4—1461no—
1423C2×C22⋊C4—1461no—
1424C2×C22⋊C4—1461no—
1425C2×C22⋊C4—1461no—
1426#107—731no—
1427#107—731no—
1428#107—731no—
1429#107—731no—
1430#106—731no—
1431#106—731no—
1432#106—731no—
1433#106—731no—
1434C4⋊C8C22×D7311yescharacteristic, complemented
1435C4⋊C8C22×D7311yescharacteristic, complemented
1436C4⋊C8C22×D7311yescharacteristic, complemented
1437C4⋊C8C22×D7311yescharacteristic, complemented
1438#103—731no—
1439#103—731no—
1440#103—731no—
1441#103—731no—
1442#103—731no—
1443#103—731no—
1444#102—731no—
1445#102—731no—
1446#102—731no—
1447#102—731no—
1448#102—731no—
1449#102—731no—
1450#102—731no—
1451#102—731no—
1452#102—731no—
1453#102—731no—
1454#102—731no—
1455#102—731no—
1456#102—731no—
1457#102—731no—
1458#102—731no—
1459#102—731no—
1460#102—731no—
1461#102—731no—
1462#102—731no—
1463#102—731no—
1464#102—731no—
1465#102—731no—
1466#102—731no—
1467#102—731no—
1468#102—731no—
1469#102—731no—
1470C22⋊C8C22×D7311yescharacteristic
1471C22⋊C8C22×D7311yescharacteristic
1472C22⋊C8C22×D7311yescharacteristic
1473C22⋊C8C22×D7311yescharacteristic
1474C22⋊C8C22×D7311yescharacteristic
1475C22⋊C8C22×D7311yescharacteristic
1476C22⋊C8C22×D7311yescharacteristic
1477C22⋊C8C22×D7311yescharacteristic
1478C22⋊C8C22×D7311yescharacteristic, complemented
1479C22⋊C8C22×D7311yescharacteristic, complemented
1480C22⋊C8C22×D7311yescharacteristic, complemented
1481C22⋊C8C22×D7311yescharacteristic, complemented
1482#97C22×D7311yescharacteristic, complemented
1483#97C22×D7311yescharacteristic, complemented
1484C4×C8C22×D7311yescharacteristic, complemented
1485C4×C8C22×D7311yescharacteristic, complemented
1486C24—2924no—
1487C24—5842no—
1488C24—5842no—
1489C24—1461no—
1490C24—1461no—
1491C24—1461no—
1492C24—1461no—
1493C24—1461no—
1494C24—1461no—
1495C24—1461no—
1496C24—1461no—
1497C24—1461no—
1498C24—1461no—
1499C24C2×D29211yescharacteristic
1500#41—41no—
1501#41—41no—
1502#41—2921no—
1503#41—2921no—
1504#41—2921no—
1505#41—2921no—
1506#41—2921no—
1507#41—2921no—
1508#41—2921no—
1509#41—2921no—
1510#41—2924no—
1511#41—5842no—
1512#41—1462no—
1513#41—1462no—
1514C2×Q8—731no—
1515C2×Q8—731no—
1516C2×Q8—1461no—
1517C2×Q8C2×D29211yescharacteristic
1518C2×D4—2921no—
1519C2×D4—2921no—
1520C2×D4—2921no—
1521C2×D4—2921no—
1522C2×D4—2921no—
1523C2×D4—2921no—
1524C2×D4—2921no—
1525C2×D4—2921no—
1526C2×D4—2921no—
1527C2×D4—2921no—
1528C2×D4—2921no—
1529C2×D4—2921no—
1530C2×D4—2924no—
1531C2×D4—2924no—
1532C2×D4—2924no—
1533C2×D4—2924no—
1534C2×D4—2924no—
1535C2×D4—2924no—
1536C2×D4—5842no—
1537C2×D4—5842no—
1538C2×D4—5842no—
1539C2×D4—5842no—
1540C2×D4—5842no—
1541C2×D4—5842no—
1542C2×D4—731no—
1543C2×D4—731no—
1544C2×D4—731no—
1545C2×D4—731no—
1546C2×D4—731no—
1547C2×D4—731no—
1548C2×D4—731no—
1549C2×D4—731no—
1550C2×D4—1462no—
1551C2×D4—1462no—
1552C2×D4—1462no—
1553C2×D4—1462no—
1554C2×D4—1462no—
1555C2×D4—1462no—
1556C2×D4—1462no—
1557C2×D4—1462no—
1558C2×D4—1461no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1461no—
1569C2×D4—1461no—
1570C2×D4—1461no—
1571C2×D4—1461no—
1572C2×D4—1461no—
1573C2×D4—1461no—
1574C2×D4—1461no—
1575C2×D4—1461no—
1576C2×D4—1461no—
1577C2×D4—1461no—
1578C2×D4—1461no—
1579C2×D4—1461no—
1580C2×D4—1461no—
1581C2×D4—1461no—
1582C2×D4—1461no—
1583C2×D4—1461no—
1584C2×D4—1461no—
1585C2×D4—1461no—
1586C2×D4—1461no—
1587C2×D4—1461no—
1588C2×D4—1461no—
1589C2×D4—1461no—
1590C2×D4—1461no—
1591C2×D4—1461no—
1592C2×D4—1461no—
1593C2×D4—1461no—
1594C2×D4C2×D29211yescharacteristic
1595C2×D4C2×D29211yescharacteristic
1596C2×D4C2×D29211yescharacteristic
1597C2×D4C2×D29211yescharacteristic
1598C2×D4C2×D29211yescharacteristic
1599C2×D4C2×D29211yescharacteristic
1600C2×D4C2×D29211yescharacteristic
1601C22×C4—41no—
1602C22×C4—41no—
1603C22×C4—1461no—
1604C22×C4—1461no—
1605C22×C4—1461no—
1606C22×C4—1461no—
1607C22×C4—1461no—
1608C22×C4—1461no—
1609C22×C4—1461no—
1610C22×C4—1461no—
1611C22×C4—1461no—
1612C22×C4—1461no—
1613C22×C4—1461no—
1614C22×C4—1461no—
1615C22×C4—1461no—
1616C22×C4—1461no—
1617C22×C4C2×D29211yescharacteristic
1618C22×C4C2×D29211yescharacteristic
1619C22×C4C2×D29211yescharacteristic
1620C22×C4C23×D7311yescharacteristic
1621C22×C4C23×D7311yescharacteristic
1622C22×C4C23×D7311yescharacteristic
1623C22×C4C23×D7311yescharacteristic
1624C22×C4C23×D7311yescharacteristic
1625Q16—2921no—
1626SD16—2921no—
1627SD16—2921no—
1628SD16—2921no—
1629SD16—2921no—
1630SD16—2921no—
1631SD16—2921no—
1632SD16—1462no—
1633SD16—1462no—
1634D8—2921no—
1635D8—2921no—
1636D8—2921no—
1637D8—2921no—
1638D8—2921no—
1639D8—2921no—
1640D8—2921no—
1641D8—2921no—
1642D8—2921no—
1643D8—1462no—
1644D8—1462no—
1645D8—1462no—
1646D8—1462no—
1647D8—1462no—
1648D8—1462no—
1649M16—41no—
1650M16—41no—
1651M16—41no—
1652M16—41no—
1653C2×C8—41no—
1654C2×C8—41no—
1655C2×C8—41no—
1656C2×C8—41no—
1657C2×C8C23×D7311yescharacteristic
1658C2×C8C23×D7311yescharacteristic
1659C2×C8C23×D7311yescharacteristic
1660C2×C8C23×D7311yescharacteristic
1661C2×C8C23×D7311yescharacteristic
1662C2×C8C23×D7311yescharacteristic
1663C2×C8C23×D7311yescharacteristic
1664C2×C8C23×D7311yescharacteristic
1665C4⋊C4—731no—
1666C4⋊C4—731no—
1667C4⋊C4—731no—
1668C4⋊C4—731no—
1669C4⋊C4—731no—
1670C4⋊C4—731no—
1671C4⋊C4—1461no—
1672C4⋊C4—1461no—
1673C4⋊C4—1461no—
1674C4⋊C4—1461no—
1675C4⋊C4—1461no—
1676C4⋊C4—1461no—
1677C4⋊C4—1461no—
1678C4⋊C4—1461no—
1679C4⋊C4—1461no—
1680C4⋊C4—1461no—
1681C4⋊C4—1461no—
1682C4⋊C4C2×D29211yescharacteristic
1683C4⋊C4C2×D29211yescharacteristic
1684C4⋊C4C2×D29211yescharacteristic
1685C4⋊C4C2×D29211yescharacteristic
1686C4⋊C4C2×D29211yescharacteristic
1687C4⋊C4C2×D29211yescharacteristic
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C22⋊C4—1461no—
1711C22⋊C4—1461no—
1712C22⋊C4—1461no—
1713C22⋊C4—1461no—
1714C22⋊C4—1461no—
1715C22⋊C4—1461no—
1716C22⋊C4—1461no—
1717C22⋊C4—1461no—
1718C22⋊C4—1461no—
1719C22⋊C4—1461no—
1720C22⋊C4—1461no—
1721C22⋊C4—1461no—
1722C22⋊C4—1461no—
1723C22⋊C4—1461no—
1724C22⋊C4C2×D29211yescharacteristic
1725C22⋊C4C2×D29211yescharacteristic
1726C22⋊C4C2×D29211yescharacteristic
1727C22⋊C4C2×D29211yescharacteristic
1728C22⋊C4C2×D29211yescharacteristic
1729C22⋊C4C2×D29211yescharacteristic
1730C22⋊C4C2×D29211yescharacteristic
1731C22⋊C4C2×D29211yescharacteristic
1732C22⋊C4C2×D29211yescharacteristic
1733C22⋊C4C2×D29211yescharacteristic
1734C42—1461no—
1735C42—1461no—
1736C42—1461no—
1737C42—1461no—
1738C42C23×D7311yescharacteristic
1739C42C23×D7311yescharacteristic
1740C23—22no—
1741C23—41no—
1742C23—41no—
1743C23—2922no—
1744C23—2922no—
1745C23—2922no—
1746C23—2922no—
1747C23—2922no—
1748C23—2922no—
1749C23—2922no—
1750C23—2922no—
1751C23—2922no—
1752C23—2922no—
1753C23—2922no—
1754C23—2922no—
1755C23—5841no—
1756C23—5841no—
1757C23—5841no—
1758C23—5841no—
1759C23—5841no—
1760C23—5841no—
1761C23—5841no—
1762C23—5841no—
1763C23—5841no—
1764C23—5841no—
1765C23—5841no—
1766C23—5841no—
1767C23—5841no—
1768C23—5841no—
1769C23—5841no—
1770C23—5841no—
1771C23—5841no—
1772C23—58416no—
1773C23—1464no—
1774C23—1461no—
1775C23—1461no—
1776C23—1461no—
1777C23—1461no—
1778C23—1461no—
1779C23—1461no—
1780C23—1461no—
1781C23—1461no—
1782C23C22×D29211yescharacteristic
1783C23C22×D29211yescharacteristic
1784C23C22×D29211yescharacteristic
1785C23C22×D29211yescharacteristic
1786C23C22×D29211yescharacteristic
1787Q8—41no—
1788Q8—5841no—
1789Q8—1461no—
1790Q8—1461no—
1791Q8—1461no—
1792Q8—1461no—
1793D4—22no—
1794D4—22no—
1795D4—41no—
1796D4—41no—
1797D4—41no—
1798D4—41no—
1799D4—41no—
1800D4—2922no—
1801D4—2922no—
1802D4—2922no—
1803D4—2922no—
1804D4—2922no—
1805D4—2922no—
1806D4—2922no—
1807D4—2922no—
1808D4—2922no—
1809D4—2922no—
1810D4—2922no—
1811D4—2922no—
1812D4—2922no—
1813D4—5841no—
1814D4—5841no—
1815D4—5841no—
1816D4—5841no—
1817D4—5841no—
1818D4—5841no—
1819D4—5841no—
1820D4—5841no—
1821D4—5841no—
1822D4—5841no—
1823D4—5841no—
1824D4—5841no—
1825D4—5841no—
1826D4—5841no—
1827D4—5841no—
1828D4—5841no—
1829D4—5841no—
1830D4—5841no—
1831D4—5841no—
1832D4—5841no—
1833D4—5841no—
1834D4—5841no—
1835D4—732no—
1836D4—732no—
1837D4—1464no—
1838D4—1461no—
1839D4—1461no—
1840D4—1461no—
1841D4—1461no—
1842D4—1461no—
1843D4—1461no—
1844D4—1461no—
1845D4—1461no—
1846D4—1461no—
1847D4—1461no—
1848D4—1461no—
1849D4—1461no—
1850D4—1461no—
1851D4—1461no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—41no—
1863C2×C4—41no—
1864C2×C4—41no—
1865C2×C4—2922no—
1866C2×C4—2922no—
1867C2×C4—2922no—
1868C2×C4—2922no—
1869C2×C4—5841no—
1870C2×C4—5841no—
1871C2×C4—5841no—
1872C2×C4—5841no—
1873C2×C4—5841no—
1874C2×C4—5841no—
1875C2×C4—5841no—
1876C2×C4—5841no—
1877C2×C4—5841no—
1878C2×C4—5841no—
1879C2×C4—1461no—
1880C2×C4—1461no—
1881C2×C4—1461no—
1882C2×C4—1461no—
1883C2×C4—1461no—
1884C2×C4—1461no—
1885C2×C4—1461no—
1886C2×C4—1461no—
1887C2×C4C22×D29211yescharacteristic
1888C2×C4C22×D29211yescharacteristic
1889C2×C4C22×D29211yescharacteristic
1890C2×C4C22×D29211yescharacteristic
1891C2×C4C22×D29211yescharacteristic
1892C2×C4C22×D29211yescharacteristic
1893C2×C4C22×D29211yescharacteristic
1894C2×C4C22×D29211yescharacteristic
1895C2×C4C22×D29211yescharacteristic
1896C2×C4C24×D7311yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—21no—
1902C8—21no—
1903C8—21no—
1904C8—21no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—21no—
1912C22—21no—
1913C22—21no—
1914C22—21no—
1915C22—21no—
1916C22—21no—
1917C22—21no—
1918C22—21no—
1919C22—44no—
1920C22—2921no—
1921C22—2921no—
1922C22—2921no—
1923C22—2921no—
1924C22—2921no—
1925C22—2921no—
1926C22—2921no—
1927C22—2921no—
1928C22—2921no—
1929C22—2921no—
1930C22—2921no—
1931C22—2921no—
1932C22—2921no—
1933C22—2921no—
1934C22—2921no—
1935C22—2921no—
1936C22—2921no—
1937C22—2921no—
1938C22—2921no—
1939C22—2921no—
1940C22—2921no—
1941C22—2921no—
1942C22—5844no—
1943C22—5844no—
1944C22—5844no—
1945C22—5844no—
1946C22—5844no—
1947C22—5844no—
1948C22—11682no—
1949C22—11682no—
1950C22—11682no—
1951C22—11682no—
1952C22—1462no—
1953C22—1462no—
1954C22#1798939212yes—
1955C22C23×D29211yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—21no—
1961C4—21no—
1962C4—21no—
1963C4—21no—
1964C4—21no—
1965C4—2921no—
1966C4—2921no—
1967C4—2921no—
1968C4—2921no—
1969C4—2921no—
1970C4—2921no—
1971C4—2921no—
1972C4—2921no—
1973C4H(5,𝔽2)×D7311yescharacteristic
1974C4H(5,𝔽2)×D7311yescharacteristic
1975C2—22no—
1976C2—41no—
1977C2—41no—
1978C2—41no—
1979C2—41no—
1980C2—2922no—
1981C2—2922no—
1982C2—5841no—
1983C2—5841no—
1984C2—5841no—
1985C2—5841no—
1986C2—5841no—
1987C2—5841no—
1988C2#2262356711yescharacteristic
1989C2C2×#1798939211yescharacteristic
1990C2#2262471211yescharacteristic
subgroupG/H
centerC22C23×D292
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2976C2
socleC22×C73C23×D4
hypercenter#2976D73
hypocenterC73#61609
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #525 ◁ #2976

Complements

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

NH ≅ G/Ntype
1. #22624247C2semidirect
2. #22623564C2semidirect
3. #22622174C2semidirect
4. #22622134C2semidirect
5. #22622089C2semidirect
6. #22622074C2semidirect
7. #22621954C2semidirect
8. #22621894C2semidirect
9. #22621768C2semidirect
10. #22621745C2semidirect
11. #22621618C2semidirect
12. D4×D584C2semidirect
13. #22621553C2semidirect
14. #22621543C2semidirect
15. #22621476C2semidirect
16. #22621416C2semidirect
17. #22621416C2semidirect
18. #22621416C2semidirect
19. #22621027C2semidirect
20. #22620983C2semidirect
21. #22620796C2semidirect
22. #22620785C2semidirect
23. #22620747C2semidirect
24. #22620724C2semidirect
25. #22620175C2semidirect
26. #22620117C2semidirect
27. #22619238C2semidirect
28. #22619201C2semidirect
29. #22619161C2semidirect
30. C2×#17988723C2semidirect
31. C73×#2976C2semidirect
32. C2×#14556637C22semidirect
33. C23×D292C22semidirect
34. C2×#14556619C22semidirect
35. C2×#14556619C22semidirect
36. C2×#14556619C22semidirect
37. C2×#14556619C22semidirect
38. C2×#14556613C22semidirect
39. C22×D584C22semidirect
40. C22×D584C22semidirect
41. C22×D584C22semidirect
44. #17989302C22semidirect
45. #17989283C22semidirect
46. #17989277C22semidirect
48. #17989258C22semidirect
49. #17989241C22semidirect
51. #17989233C22semidirect
52. #17989233C22semidirect
53. #17989233C22semidirect
54. #17989233C22semidirect
55. #17989233C22semidirect
60. D4×D292C22semidirect
61. D4×D292C22semidirect
62. D4×D292C22semidirect
63. D4×D292C22semidirect
66. #17989208C22semidirect
67. #17989192C22semidirect
70. #17989165C22semidirect
71. #17989156C22semidirect
73. #17989151C22semidirect
74. #17989151C22semidirect
78. #17989098C22semidirect
79. #17989098C22semidirect
80. C2×#14556565C22semidirect
83. #17989061C22semidirect
84. #17988976C22semidirect
85. #17988976C22semidirect
86. #17988971C22semidirect
87. #17988964C22semidirect
88. #17988952C22semidirect
89. #17988947C22semidirect
90. #17988942C22semidirect
91. #17988934C22semidirect
92. #17988929C22semidirect
93. #17988929C22semidirect
94. #17988918C22semidirect
95. #17988912C22semidirect
96. #17988912C22semidirect
97. #17988912C22semidirect
98. #17988912C22semidirect
99. #17988912C22semidirect
100. #17988912C22semidirect
101. #17988906C22semidirect
102. #17988901C22semidirect
103. #17988901C22semidirect
104. #17988888C22semidirect
105. #17988888C22semidirect
106. #17988878C22semidirect
107. #17988868C22semidirect
108. #17988840C22semidirect
109. #17988840C22semidirect
110. #17988840C22semidirect
111. #17988840C22semidirect
112. #17988840C22semidirect
113. #17988833C22semidirect
114. #17988833C22semidirect
115. #17988833C22semidirect
116. #17988828C22semidirect
117. #17988823C22semidirect
118. #17988823C22semidirect
119. #17988823C22semidirect
120. #17988823C22semidirect
121. #17988816C22semidirect
122. #17988816C22semidirect
123. #17988816C22semidirect
124. #17988810C22semidirect
125. #17988803C22semidirect
126. #17988803C22semidirect
127. #17988803C22semidirect
128. #17988803C22semidirect
129. #17988803C22semidirect
130. #17988788C22semidirect
131. #17988783C22semidirect
132. #17988783C22semidirect
133. #17988783C22semidirect
134. #17988783C22semidirect
135. #17988783C22semidirect
136. #17988751C22semidirect
137. #17988751C22semidirect
138. #17988751C22semidirect
139. #17988740C22semidirect
140. #17988740C22semidirect
141. #17988740C22semidirect
142. #17988740C22semidirect
143. #17988740C22semidirect
144. #17988740C22semidirect
145. #17988734C22semidirect
146. #17988734C22semidirect
147. #17988734C22semidirect
148. #17988734C22semidirect
149. #17988734C22semidirect
150. #17988734C22semidirect
151. #17988734C22semidirect
152. #17988734C22semidirect
153. #17988734C22semidirect
155. #17988723C22semidirect
156. #17988723C22semidirect
157. #17988723C22semidirect
158. #17988723C22semidirect
159. #17988723C22semidirect
160. #17988723C22semidirect
161. #17988723C22semidirect
162. #17988723C22semidirect
163. #17988723C22semidirect
164. #17988723C22semidirect
165. #17988723C22semidirect
166. #17988723C22semidirect
167. #17988723C22semidirect
168. #17988723C22semidirect
169. #17988723C22semidirect
170. #17988723C22semidirect
171. #17988723C22semidirect
172. #17988700C22semidirect
173. #17988700C22semidirect
174. #17988700C22semidirect
175. #17988689C22semidirect
176. C4×#11924017C22semidirect
177. C4×D584C22semidirect
178. C4×D584C22semidirect
179. C4×D584C22semidirect
180. #17988593C22semidirect
181. #17988593C22semidirect
182. #17988593C22semidirect
183. #17988589C22semidirect
184. #17988584C22semidirect
185. C2×#14556513C22semidirect
186. C2×#14556513C22semidirect
187. C2×#14556513C22semidirect
189. #436×C73C22semidirect
190. #436×C73C22semidirect
191. #435×C73C22semidirect
192. #435×C73C22semidirect
193. #435×C73C22semidirect
194. #435×C73C22semidirect
195. C8×D4×C73C22semidirect
196. C8×D4×C73C22semidirect
197. #433×C73C22semidirect
198. #433×C73C22semidirect
199. #408×C73C22semidirect
200. #408×C73C22semidirect
201. #407×C73C22semidirect
202. C2×C22⋊C8×C73C22semidirect
211. C2×#11924028C23semidirect
227. C22×D292C23semidirect
242. C2×Dic292C23semidirect
247. C2×#11924017C23semidirect
248. C2×#11924017C23semidirect
249. C2×#11924017C23semidirect
250. C2×#11924017C23semidirect
266. C2×D584C23semidirect
267. C2×D584C23semidirect
268. C2×D584C23semidirect
269. #14556591C23semidirect
272. #14556588C23semidirect
279. #14556583C23semidirect
285. #14556579C23semidirect
309. #14556570C23semidirect
333. #14556565C23semidirect
334. #14556565C23semidirect
335. #14556565C23semidirect
375. C4×Dic146C23semidirect
380. C4×D292C23semidirect
381. C4×D292C23semidirect
382. C4×D292C23semidirect
393. #14556550C23semidirect
397. C2×C4⋊Dic73C23semidirect
407. #14556525C23semidirect
408. #14556525C23semidirect
409. #14556525C23semidirect
410. #14556525C23semidirect
411. #14556523C23semidirect
412. #14556523C23semidirect
413. #14556523C23semidirect
414. #14556523C23semidirect
415. #14556516C23semidirect
416. #14556516C23semidirect
417. #14556516C23semidirect
418. #14556516C23semidirect
419. #14556516C23semidirect
420. #14556516C23semidirect
437. #14556513C23semidirect
438. #14556513C23semidirect
439. #14556513C23semidirect
440. #14556513C23semidirect
441. #14556513C23semidirect
442. #14556513C23semidirect
443. #14556513C23semidirect
444. #14556513C23semidirect
445. #14556513C23semidirect
446. #14556513C23semidirect
451. C2×M16×C73C23semidirect
452. C2×M16×C73C23semidirect
455. C22×C8×C73C23semidirect
456. C22×C8×C73C23semidirect
470. C4⋊C8×C73C23semidirect
471. C4⋊C8×C73C23semidirect
472. C4⋊C8×C73C23semidirect
473. C4⋊C8×C73C23semidirect
482. C22⋊C8×C73C23semidirect
483. C22⋊C8×C73C23semidirect
484. C22⋊C8×C73C23semidirect
485. C22⋊C8×C73C23semidirect
486. #97×C73C23semidirect
487. #97×C73C23semidirect
488. C4×C8×C73C23semidirect
489. C4×C8×C73C23semidirect
1026. #2976D73semidirect
1027. C73#61609semidirect
1177. #436C2×D73semidirect
1178. #436C2×D73semidirect
1179. #435C2×D73semidirect
1180. #435C2×D73semidirect
1181. #435C2×D73semidirect
1182. #435C2×D73semidirect
1183. C8×D4C2×D73semidirect
1184. C8×D4C2×D73semidirect
1185. #433C2×D73semidirect
1186. #433C2×D73semidirect
1195. #408C2×D73semidirect
1196. #408C2×D73semidirect
1197. #407C2×D73semidirect
1198. C2×C22⋊C8C2×D73semidirect
1269. C2×M16C22×D73semidirect
1270. C2×M16C22×D73semidirect
1273. C22×C8C22×D73semidirect
1274. C22×C8C22×D73semidirect
1434. C4⋊C8C22×D73semidirect
1435. C4⋊C8C22×D73semidirect
1436. C4⋊C8C22×D73semidirect
1437. C4⋊C8C22×D73semidirect
1478. C22⋊C8C22×D73semidirect
1479. C22⋊C8C22×D73semidirect
1480. C22⋊C8C22×D73semidirect
1481. C22⋊C8C22×D73semidirect
1482. #97C22×D73semidirect
1483. #97C22×D73semidirect
1484. C4×C8C22×D73semidirect
1485. C4×C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226242472
#226235642
#226221742
#226221342
#226220892
#226220742
#226219542
#226218942
#226217682
#226217452
#226216182
D4×D5842
#226215532
#226215432
#226214762
#226214162
#226210272
#226209832
#226207962
#226207852
#226207472
#226207242
#226201752
#226201172
#226192382
#226192012
#226191612
C2×#179887232
C73×#29762
#6160973