Finite Group Databasebeta

← #33979088

Subgroups — #33979088

Order 18688.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623799C211yesmaximal, characteristic, complemented
2#22623547C211yesmaximal, characteristic, complemented
3#22622930C211yesmaximal, characteristic, complemented
4#22622924C211yesmaximal, characteristic, complemented
5#22622628C211yesmaximal, characteristic, complemented
6#22622622C211yesmaximal, characteristic, complemented
7#22622253C211yesmaximal, characteristic, complemented
8#22622251C211yesmaximal, characteristic, complemented
9#22622153C211yesmaximal, characteristic, complemented
10#22622151C211yesmaximal, characteristic, complemented
11#22622149C211yesmaximal, characteristic, complemented
12#22622147C211yesmaximal, characteristic, complemented
13#22621595C211yesmaximal, characteristic, complemented
14#22621591C211yesmaximal, characteristic, complemented
15#22621563C211yesmaximal, characteristic, complemented
16#22621562C211yesmaximal, characteristic, complemented
17#22621555C211yesmaximal, characteristic, complemented
18#22621321C211yesmaximal, characteristic, complemented
19#22621290C211yesmaximal, characteristic, complemented
20#22621286C211yesmaximal, characteristic, complemented
21#22620904C211yesmaximal, characteristic, complemented
22#22620902C211yesmaximal, characteristic, complemented
23#22620870C211yesmaximal, characteristic, complemented
24#22619995C211yesmaximal, characteristic, complemented
25#22619960C211yesmaximal, characteristic, complemented
26#22619957C211yesmaximal, characteristic, complemented
27#22619409C211yesmaximal, characteristic, complemented
28#22619401C211yesmaximal, characteristic, complemented
29#22619400C211yesmaximal, characteristic, complemented
30#22619059C211yesmaximal, characteristic, complemented
31C73×#3275C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic, complemented
33C2×#14556622C2211yescharacteristic, complemented
34C2×#14556620C2211yescharacteristic, complemented
35C2×#14556616C2211yescharacteristic
36#17989321—21no—
37#17989320C2211yescharacteristic
38#17989319C2211yescharacteristic
39#17989313C2211yescharacteristic, complemented
40#17989306—21no—
41#17989306C2211yescharacteristic, complemented
42#17989277—21no—
43#17989277C2211yescharacteristic
44#17989271—21no—
45#17989271C2211yescharacteristic
46#17989256C2211yescharacteristic
47#17989255—21no—
48#17989255C2211yescharacteristic
49Q8×C22⋊D73C2211yescharacteristic, complemented
50#17989244C2211yescharacteristic
51#17989237—21no—
52#17989237C2211yescharacteristic, complemented
53#17989233C2211yescharacteristic
54#17989231C2211yescharacteristic
55#17989228C2211yescharacteristic
56#17989227—21no—
57#17989224—21no—
58#17989189—21no—
59#17989187—21no—
60#17989152—21no—
61#17989139—21no—
62#17989139C2211yescharacteristic
63#17989139C2211yescharacteristic
64#17989136C2211yescharacteristic
65#17989134C2211yescharacteristic
66#17989133C2211yescharacteristic
67#17989132C2211yescharacteristic
68C2×#14556587C2211yescharacteristic
69#17989118—21no—
70#17989118C2211yescharacteristic, complemented
71#17989116—21no—
72#17989116C2211yescharacteristic, complemented
73#17989060—21no—
74#41×Dic73C2211yescharacteristic
75C4×#11924027—21no—
76C4×#11924027C2211yescharacteristic
77C2×Q8×Dic73C2211yescharacteristic, complemented
78C4×Q8×D73C2211yescharacteristic, complemented
79#17988970C2211yescharacteristic, complemented
80#17988969C2211yescharacteristic, complemented
81#17988968C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic
83#17988958C2211yescharacteristic
84#17988943C2211yescharacteristic, complemented
85#17988942C2211yescharacteristic, complemented
86#17988941C2211yescharacteristic, complemented
87#17988940C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988932C2211yescharacteristic
90#17988929C2211yescharacteristic
91#17988925C2211yescharacteristic
92#17988907C2211yescharacteristic, complemented
93#17988906C2211yescharacteristic, complemented
94#17988904C2211yescharacteristic, complemented
95#17988903C2211yescharacteristic, complemented
96#17988888C2211yescharacteristic, complemented
97#17988887C2211yescharacteristic, complemented
98#17988886C2211yescharacteristic, complemented
99#17988885C2211yescharacteristic, complemented
100#17988871C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988870C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988845C2211yescharacteristic
107#17988843C2211yescharacteristic
108#17988843C2211yescharacteristic
109#17988839C2211yescharacteristic, complemented
110#17988838C2211yescharacteristic, complemented
111#17988837C2211yescharacteristic, complemented
112#17988836C2211yescharacteristic, complemented
113#17988833C2211yescharacteristic, complemented
114#17988831C2211yescharacteristic, complemented
115#17988830C2211yescharacteristic, complemented
116#17988811C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988807C2211yescharacteristic, complemented
121#17988807C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic, complemented
124#17988800C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic, complemented
126#17988796C2211yescharacteristic, complemented
127#17988796C2211yescharacteristic, complemented
128#17988795C2211yescharacteristic, complemented
129#17988795C2211yescharacteristic, complemented
130#17988795C2211yescharacteristic, complemented
131#17988790C2211yescharacteristic, complemented
132#17988786C2211yescharacteristic
133#17988786C2211yescharacteristic
134#17988785C2211yescharacteristic
135#17988785C2211yescharacteristic
136#17988785C2211yescharacteristic
137#17988785C2211yescharacteristic
138#17988785C2211yescharacteristic
139#17988785C2211yescharacteristic
140#17988780C2211yescharacteristic
141#17988780C2211yescharacteristic
142#17988780C2211yescharacteristic
143#17988780C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic
146#17988749C2211yescharacteristic, complemented
147#17988748C2211yescharacteristic, complemented
148#17988746C2211yescharacteristic, complemented
149#17988740C2211yescharacteristic
150#17988738C2211yescharacteristic
151#17988737C2211yescharacteristic
152#17988731C2211yescharacteristic, complemented
153#17988730C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988727C2211yescharacteristic, complemented
156#17988726C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158C8×Dic146C2211yescharacteristic, complemented
159#17988711C2211yescharacteristic, complemented
160Q16×Dic73C2211yescharacteristic, complemented
161#17988679C2211yescharacteristic, complemented
162#17988678C2211yescharacteristic, complemented
163C4×#11924017C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic, complemented
167C4×#11924015C2211yescharacteristic, complemented
168C4×#11924016C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic, complemented
170#17988672C2211yescharacteristic, complemented
171#17988665C2211yescharacteristic
172#17988663C2211yescharacteristic
173#17988663C2211yescharacteristic, complemented
174#17988662C2211yescharacteristic
175#17988662C2211yescharacteristic, complemented
176#17988638C2211yescharacteristic, complemented
177#17988637C2211yescharacteristic
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic
180#17988610C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988592C2211yescharacteristic
184#17988589C2211yescharacteristic, complemented
185#17988588C2211yescharacteristic, complemented
186#17988587C2211yescharacteristic, complemented
187#17988585C2211yescharacteristic, complemented
188C2×#137×C73C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
190#548×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic
192#495×C73C2211yescharacteristic, complemented
193#470×C73C2211yescharacteristic
194#469×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199#449×C73C2211yescharacteristic, complemented
200#448×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#436×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027D411yescharacteristic
209C2×#11924027C2311yescharacteristic
210C2×Q8×D73C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C22×C22⋊D73—21no—
213C22×C22⋊D73—21no—
214#14556623—42no—
215#14556622—42no—
216#14556620—42no—
217#14556616—42no—
218C2×Dic292C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C2×#11924012C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237#14556590—21no—
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556589—21no—
241#14556589C2311yescharacteristic
242#14556589C2311yescharacteristic
243#14556587—21no—
244#14556587—21no—
245#14556587—21no—
246#14556587—21no—
247#14556587C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556583—21no—
258#14556583C2311yescharacteristic
259#14556582—21no—
260#14556582C2311yescharacteristic
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556580C2311yescharacteristic
266#14556579C2311yescharacteristic
267#14556578—21no—
268#14556578C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556576—21no—
275#14556576—21no—
276#14556575—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572—21no—
286#14556572—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567—21no—
297#14556567C2311yescharacteristic
298#14556566—21no—
299#14556566C2311yescharacteristic
300#14556565—21no—
301#14556565C2311yescharacteristic
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556562—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556561—21no—
317#14556560—21no—
318#14556559—21no—
319Q8×Dic73—21no—
320Q8×Dic73—21no—
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331#14556556—21no—
332#14556556—21no—
333#14556556—21no—
334#14556556D411yescharacteristic
335#14556556C2311yescharacteristic
336#14556556C2311yescharacteristic
337C4×D292C2311yescharacteristic
338D4×Dic73—21no—
339D4×Dic73—21no—
340D4×Dic73—21no—
341D4×Dic73D411yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345#14556553C2311yescharacteristic
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73C2311yescharacteristic
354C4×C22⋊D73C2311yescharacteristic
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551D411yescharacteristic
362#14556551D411yescharacteristic
363#14556550—21no—
364#14556550C2311yescharacteristic
365#14556549—21no—
366#14556549D411yescharacteristic
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547—21no—
371#14556547—21no—
372#14556547—21no—
373#14556547D411yescharacteristic
374#14556547D411yescharacteristic
375C2×C4⋊Dic73—21no—
376C2×C4⋊Dic73C2311yescharacteristic
377C4⋊C4×D73—21no—
378C4⋊C4×D73C2311yescharacteristic
379C2×C22⋊Dic73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73C2311yescharacteristic
385C2×C4×Dic73C2311yescharacteristic
386C42×D73—21no—
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443#137×C73—42no—
444AGL(1,ℤ/8)×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C2×M16×C73C2311yescharacteristic
456#124×C73—21no—
457#124×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463#121×C73—21no—
464#121×C73—21no—
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#106×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—41no—
486#11924029—41no—
487#11924028—41no—
488#11924028—41no—
489#11924028—82no—
490#11924027—41no—
491#11924027—41no—
492#11924027—42no—
493#11924027—44no—
494#11924027—82no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146C2×D411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—22no—
502Q8×D73—41no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—41no—
507C2×D292—41no—
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—44no—
524C2×C22⋊D73—82no—
525C2×C22⋊D73C2×D411yescharacteristic
526C2×C22⋊D73C2×D411yescharacteristic
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73C2×D411yescharacteristic
533C22×Dic73C2×D411yescharacteristic
534C22×Dic73C2×D411yescharacteristic
535C22×Dic73C2×D411yescharacteristic
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2411yescharacteristic
545Dic292—41no—
546#11924018—22no—
547#11924018—41no—
548#11924018—41no—
549#11924017—41no—
550#11924017—41no—
551#11924016—41no—
552#11924016—41no—
553#11924016—41no—
554#11924015—22no—
555#11924015—22no—
556#11924015—41no—
557#11924015—41no—
558#11924013—41no—
559#11924013—41no—
560#11924012—41no—
561#11924012—41no—
562#11924011—41no—
563#11924011—41no—
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73C2×D411yescharacteristic
616C22⋊Dic73C2×D411yescharacteristic
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C24×C73—21no—
648#41×C73—22no—
649#41×C73—41no—
650#41×C73—41no—
651#41×C73—41no—
652C2×Q8×C73—21no—
653C2×Q8×C73—22no—
654C2×Q8×C73—41no—
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—41no—
664C2×D4×C73—41no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675Q16×C73—22no—
676Q16×C73—41no—
677SD16×C73—22no—
678SD16×C73—22no—
679SD16×C73—41no—
680SD16×C73—41no—
681SD16×C73—41no—
682D8×C73—41no—
683D8×C73—41no—
684M16×C73—41no—
685M16×C73—41no—
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73C2×D411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73C2×D411yescharacteristic
706C22⋊C4×C73C2×D411yescharacteristic
707C42×C73—21no—
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—21no—
712C23×C73—42no—
713C23×C73—81no—
714C23×C73—81no—
715C23×C73C22×D411yescharacteristic
716C23×C73C22×D411yescharacteristic
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—42no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—42no—
729Q8×C73H(5,𝔽2)12yes—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—41no—
737D4×C73—42no—
738D4×C73—42no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73—81no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—42no—
752C2×C4×C73—42no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C2511yescharacteristic
760C22⋊D73—22no—
761C22⋊D73—41no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—42no—
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C2×Dic73—22no—
776C2×Dic73—22no—
777C2×Dic73—22no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—41no—
785C2×Dic73—42no—
786C2×Dic73—42no—
787C2×Dic73—42no—
788C2×Dic73—81no—
789C2×Dic73—81no—
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797D292—21no—
798D292—21no—
799D292—21no—
800D292—21no—
801D292—81no—
802D292—81no—
803D292—81no—
804C4×D73—21no—
805C4×D73—21no—
806C4×D73—22no—
807C4×D73—41no—
808C4×D73—42no—
809C4×D73—42no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814Dic146—22no—
815Dic146—21no—
816Dic146—21no—
817Dic146—21no—
818Dic146—21no—
819Dic146—42no—
820Dic146—42no—
821Dic146—42no—
822C8×C73—21no—
823C8×C73—21no—
824C8×C73—21no—
825C8×C73—21no—
826#10596831—21no—
827#10596831—21no—
828#10596831—21no—
829#10596831—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—21no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—162no—
846C22×C73C23×D411yescharacteristic
847C2×D73—21no—
848C2×D73—21no—
849C2×D73—21no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—162no—
857C4×C73—22no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73C2×H(5,𝔽2)11yescharacteristic
867C4×C73#58511yescharacteristic
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—41no—
874Dic73—41no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73#57512yes—
880Dic73#57712yes—
881#61997—731nomaximal, Sylow
882C2×C73—41no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73#348811yescharacteristic
888C2×C73C2×#57511yescharacteristic
889C2×C73C2×#57711yescharacteristic
890D73—41no—
891D73—81no—
892D73—81no—
893#3508—731no—
894#3482—731no—
895#3394—731no—
896#3394—731no—
897#3365—731no—
898#3365—731no—
899#3332—731no—
900#3332—731no—
901#3323—731no—
902#3323—731no—
903#3323—731no—
904#3323—731no—
905#3278—731no—
906#3278—731no—
907#3275—731no—
908#3275—731no—
909#3275—731no—
910#3275D7311yescharacteristic, complemented
911#3255—731no—
912#3251—731no—
913#3251—731no—
914#3212—731no—
915#3212—731no—
916#3208—731no—
917#3107—731no—
918#3103—731no—
919#3103—731no—
920#3038—731no—
921#3037—731no—
922#3037—731no—
923#2991—731no—
924C73#6199711yescharacteristic, complemented, Sylow
925C2×#137—731no—
926C2×#137—731no—
927C2×#137—731no—
928C2×#137C2×D7311yescharacteristic, complemented
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
931#559—731no—
932#559—731no—
933#559—1461no—
934#557—731no—
935#556—731no—
936#556—1461no—
937#552—731no—
938#552—731no—
939#552—1461no—
940#552—1461no—
941#550—731no—
942#550—731no—
943#550—1461no—
944D4×Q8—731no—
945#548—731no—
946#548C2×D7311yescharacteristic
947#547—731no—
948#547—1461no—
949#546—731no—
950#546—731no—
951#546—731no—
952#546—1461no—
953#546—1461no—
954#546C2×D7311yescharacteristic
955#540—1461no—
956#540—1461no—
957#535—1461no—
958#533—731no—
959#533—731no—
960#533—1461no—
961#532—731no—
962#532—731no—
963#532—731no—
964#532—731no—
965C2×#127—731no—
966#529—731no—
967#529—731no—
968#529—1461no—
969#529—1461no—
970#518—1461no—
971C4×#41—731no—
972C4×#41—731no—
973C4×#41—1461no—
974C2×C4×Q8—731no—
975C2×C4×Q8—731no—
976#495—731no—
977#495—731no—
978#495—731no—
979#495C2×D7311yescharacteristic, complemented
980#492—731no—
981#492—731no—
982#488—731no—
983#488—731no—
984#488—731no—
985#488—731no—
986#486—731no—
987#486—731no—
988#485—731no—
989#485—731no—
990#481—731no—
991#481—731no—
992#481—731no—
993#481—731no—
994#478—731no—
995#478—731no—
996#478—731no—
997#478—731no—
998#475—731no—
999#475—731no—
1000#475—731no—
1001#475—731no—
1002#475—731no—
1003#474—731no—
1004#470—731no—
1005#470—731no—
1006#470—731no—
1007#470C2×D7311yescharacteristic
1008#469—731no—
1009#469—731no—
1010#469—731no—
1011#469C2×D7311yescharacteristic, complemented
1012#468—731no—
1013#468—731no—
1014#468—731no—
1015#468—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#464C2×D7311yescharacteristic, complemented
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463C2×D7311yescharacteristic, complemented
1028#462—731no—
1029#462—731no—
1030#462—731no—
1031#462—731no—
1032#462—731no—
1033#461—731no—
1034#460—731no—
1035#460—731no—
1036#460—731no—
1037#460—731no—
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460—731no—
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#452—731no—
1047#452—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452C2×D7311yescharacteristic
1052#450—731no—
1053#450—731no—
1054#450—731no—
1055#450C2×D7311yescharacteristic
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449C2×D7311yescharacteristic, complemented
1060#448—731no—
1061#448—731no—
1062#448—731no—
1063#448C2×D7311yescharacteristic, complemented
1064C8×Q8—731no—
1065C8×Q8—731no—
1066C4×Q16—731no—
1067C4×Q16—731no—
1068C4×SD16—731no—
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×SD16—731no—
1072C4×SD16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×SD16—731no—
1077C4×SD16C2×D7311yescharacteristic, complemented
1078#436—731no—
1079#436—731no—
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#436C2×D7311yescharacteristic
1084#431—731no—
1085#431—731no—
1086#431—731no—
1087#423—731no—
1088#423—731no—
1089#423—731no—
1090#418—731no—
1091#418—731no—
1092#417—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096C2×#41—731no—
1097C2×#41—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—1461no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C2×#41C22×D7311yescharacteristic
1105C22×Q8—731no—
1106C22×Q8C22×D7311yescharacteristic
1107C22×D4—731no—
1108C22×D4—1461no—
1109C22×D4—1461no—
1110C22×D4C22×D7311yescharacteristic
1111#137—42no—
1112#137—2922no—
1113#137—2922no—
1114#137—2922no—
1115AGL(1,ℤ/8)—42no—
1116AGL(1,ℤ/8)—2922no—
1117C2×Q16—731no—
1118C2×Q16—731no—
1119C2×Q16—731no—
1120C2×Q16—731no—
1121C2×Q16C22×D7311yescharacteristic
1122C2×Q16C22×D7311yescharacteristic
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16C22×D7311yescharacteristic
1133C2×SD16C22×D7311yescharacteristic
1134C2×SD16C22×D7311yescharacteristic
1135C2×SD16C22×D7311yescharacteristic
1136C2×SD16C22×D7311yescharacteristic
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8C22×D7311yescharacteristic
1140C2×D8C22×D7311yescharacteristic
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16—731no—
1144C2×M16—731no—
1145C2×M16C22×D7311yescharacteristic
1146C2×M16C22×D7311yescharacteristic
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8—731no—
1151C4⋊Q8—1461no—
1152C4⋊Q8—1461no—
1153#127—731no—
1154#127—731no—
1155#127—731no—
1156#127—731no—
1157#127—1461no—
1158#127—1461no—
1159#127—1461no—
1160#127—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#125—731no—
1168#125—731no—
1169#125—1461no—
1170#125—1461no—
1171#125—1461no—
1172#125—1461no—
1173#125—1461no—
1174#125—1461no—
1175#124—21no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—731no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124C22×D7311yescharacteristic
1186#124C22×D7311yescharacteristic
1187#123—21no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201C22⋊Q8—21no—
1202C22⋊Q8—731no—
1203C22⋊Q8—731no—
1204C22⋊Q8—731no—
1205C22⋊Q8—731no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8C22×D7311yescharacteristic
1214C22⋊Q8C22×D7311yescharacteristic
1215#121—21no—
1216#121—21no—
1217#121—731no—
1218#121—731no—
1219#121—731no—
1220#121—731no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121C22×D7311yescharacteristic
1236#121C22×D7311yescharacteristic
1237#120—21no—
1238#120—1461no—
1239#120—1461no—
1240#120—1461no—
1241C4×Q8—731no—
1242C4×Q8—731no—
1243C4×Q8—731no—
1244C4×Q8—731no—
1245C4×Q8—731no—
1246C4×Q8—731no—
1247C4×Q8—731no—
1248C4×Q8—731no—
1249C4×Q8—731no—
1250C4×Q8—731no—
1251C4×Q8—731no—
1252C4×Q8—1461no—
1253C4×Q8—1461no—
1254C4×Q8—1461no—
1255C4×Q8—1461no—
1256C4×Q8—1461no—
1257C4×Q8—1461no—
1258C4×Q8—1461no—
1259C4×Q8C22×D7311yescharacteristic
1260C4×D4—21no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4C22×D7311yescharacteristic
1288C4×D4C22×D7311yescharacteristic
1289#117—731no—
1290#117—731no—
1291#117—731no—
1292#117—731no—
1293#117—1461no—
1294#117—1461no—
1295#117—1461no—
1296#117—1461no—
1297#117—1461no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301C2×C4⋊C4—731no—
1302C2×C4⋊C4—731no—
1303C2×C4⋊C4—1461no—
1304C2×C4⋊C4—1461no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—1461no—
1307C2×C22⋊C4—1461no—
1308C2×C22⋊C4—1461no—
1309C2×C42—731no—
1310C2×C42—731no—
1311C2×C42—731no—
1312C2×C42—1461no—
1313C2×C42—1461no—
1314C2×C42—1461no—
1315#107—731no—
1316#107—731no—
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106—731no—
1321#106—731no—
1322#106C22×D7311yescharacteristic
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8C22×D7311yescharacteristic
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365C22⋊C8—731no—
1366C22⋊C8—731no—
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8C22×D7311yescharacteristic
1370C22⋊C8C22×D7311yescharacteristic
1371C4×C8—731no—
1372C4×C8—731no—
1373C4×C8—731no—
1374C4×C8—731no—
1375C4×C8—731no—
1376C4×C8C22×D7311yescharacteristic
1377C24—21no—
1378C24—1461no—
1379#41—22no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—2921no—
1384#41—2921no—
1385#41—2924no—
1386#41—2922no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—5842no—
1393C2×Q8—21no—
1394C2×Q8—22no—
1395C2×Q8—41no—
1396C2×Q8—2921no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—1461no—
1401C2×Q8—1461no—
1402C2×Q8—1461no—
1403C2×Q8—1462no—
1404C2×Q8C23×D7311yescharacteristic
1405C2×Q8C23×D7311yescharacteristic
1406C2×Q8C23×D7311yescharacteristic
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—2921no—
1415C2×D4—2921no—
1416C2×D4—2924no—
1417C2×D4—5842no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—731no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4D4×D7311yescharacteristic
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—731no—
1452C22×C4—731no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4C23×D7311yescharacteristic
1465C22×C4C23×D7311yescharacteristic
1466Q16—22no—
1467Q16—41no—
1468Q16—2921no—
1469Q16—2921no—
1470Q16—2921no—
1471Q16—1462no—
1472SD16—22no—
1473SD16—22no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—2921no—
1480SD16—2921no—
1481SD16—2921no—
1482SD16—2921no—
1483SD16—2921no—
1484SD16—1462no—
1485SD16—1462no—
1486D8—41no—
1487D8—41no—
1488D8—2921no—
1489D8—2921no—
1490M16—41no—
1491M16—41no—
1492M16—2921no—
1493M16—2921no—
1494M16—2921no—
1495M16—2921no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8—731no—
1499C2×C8—731no—
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C2×C8C23×D7311yescharacteristic
1503C2×C8C23×D7311yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4—1461no—
1540C4⋊C4—1461no—
1541C4⋊C4D4×D7311yescharacteristic
1542C4⋊C4C23×D7311yescharacteristic
1543C4⋊C4C23×D7311yescharacteristic
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4D4×D7311yescharacteristic
1580C22⋊C4D4×D7311yescharacteristic
1581C42—21no—
1582C42—731no—
1583C42—731no—
1584C42—731no—
1585C42—731no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—1461no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42C23×D7311yescharacteristic
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—81no—
1607C23—81no—
1608C23—2922no—
1609C23—5841no—
1610C23—5841no—
1611C23—731no—
1612C23—1461no—
1613C23—1461no—
1614C23C2×D4×D7311yescharacteristic
1615C23C2×D4×D7311yescharacteristic
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—42no—
1622Q8—2922no—
1623Q8—2922no—
1624Q8—2922no—
1625Q8—1462no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8#1455663612yes—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—41no—
1638D4—42no—
1639D4—42no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—2922no—
1644D4—2922no—
1645D4—2922no—
1646D4—2922no—
1647D4—2922no—
1648D4—2921no—
1649D4—2922no—
1650D4—2922no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—1462no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—42no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—2922no—
1679C2×C4—2921no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2921no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—1462no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1462no—
1706C2×C4—1462no—
1707C2×C4—1462no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—11682no—
1746C22—1461no—
1747C22—1461no—
1748C22—1461no—
1749C22C22×D4×D7311yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—22no—
1753C4—21no—
1754C4—21no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—2921no—
1760C4—2921no—
1761C4—2921no—
1762C4—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—732no—
1766C4—732no—
1767C4—1461no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4C2×#1455663611yescharacteristic
1773C4#1798942211yescharacteristic
1774C2—41no—
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—2921no—
1780C2—5841no—
1781C2—5841no—
1782C2#2262359111yescharacteristic
1783C2#575×D7311yescharacteristic
1784C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3275C2
socleC22×C73C23×D4
hypercenter#3275D73
hypocenterC73#61997
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #22623799C2semidirect
2. #22623547C2semidirect
3. #22622930C2semidirect
4. #22622924C2semidirect
5. #22622628C2semidirect
6. #22622622C2semidirect
7. #22622253C2semidirect
8. #22622251C2semidirect
9. #22622153C2semidirect
10. #22622151C2semidirect
11. #22622149C2semidirect
12. #22622147C2semidirect
13. #22621595C2semidirect
14. #22621591C2semidirect
15. #22621563C2semidirect
16. #22621562C2semidirect
17. #22621555C2semidirect
18. #22621321C2semidirect
19. #22621290C2semidirect
20. #22621286C2semidirect
21. #22620904C2semidirect
22. #22620902C2semidirect
23. #22620870C2semidirect
24. #22619995C2semidirect
25. #22619960C2semidirect
26. #22619957C2semidirect
27. #22619409C2semidirect
28. #22619401C2semidirect
29. #22619400C2semidirect
30. #22619059C2semidirect
31. C73×#3275C2semidirect
32. C2×#14556623C22semidirect
33. C2×#14556622C22semidirect
34. C2×#14556620C22semidirect
39. #17989313C22semidirect
41. #17989306C22semidirect
49. Q8×C22⋊D73C22semidirect
52. #17989237C22semidirect
70. #17989118C22semidirect
72. #17989116C22semidirect
77. C2×Q8×Dic73C22semidirect
78. C4×Q8×D73C22semidirect
79. #17988970C22semidirect
80. #17988969C22semidirect
81. #17988968C22semidirect
84. #17988943C22semidirect
85. #17988942C22semidirect
86. #17988941C22semidirect
87. #17988940C22semidirect
92. #17988907C22semidirect
93. #17988906C22semidirect
94. #17988904C22semidirect
95. #17988903C22semidirect
96. #17988888C22semidirect
97. #17988887C22semidirect
98. #17988886C22semidirect
99. #17988885C22semidirect
100. #17988871C22semidirect
101. #17988871C22semidirect
102. #17988870C22semidirect
103. #17988870C22semidirect
104. #17988870C22semidirect
105. #17988865C22semidirect
109. #17988839C22semidirect
110. #17988838C22semidirect
111. #17988837C22semidirect
112. #17988836C22semidirect
113. #17988833C22semidirect
114. #17988831C22semidirect
115. #17988830C22semidirect
116. #17988811C22semidirect
117. #17988811C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988807C22semidirect
121. #17988807C22semidirect
122. #17988806C22semidirect
123. #17988801C22semidirect
124. #17988800C22semidirect
125. #17988799C22semidirect
126. #17988796C22semidirect
127. #17988796C22semidirect
128. #17988795C22semidirect
129. #17988795C22semidirect
130. #17988795C22semidirect
131. #17988790C22semidirect
144. #17988751C22semidirect
146. #17988749C22semidirect
147. #17988748C22semidirect
148. #17988746C22semidirect
152. #17988731C22semidirect
153. #17988730C22semidirect
154. #17988729C22semidirect
155. #17988727C22semidirect
156. #17988726C22semidirect
157. #17988724C22semidirect
158. C8×Dic146C22semidirect
159. #17988711C22semidirect
160. Q16×Dic73C22semidirect
161. #17988679C22semidirect
162. #17988678C22semidirect
163. C4×#11924017C22semidirect
164. SD16×Dic73C22semidirect
165. SD16×Dic73C22semidirect
166. SD16×Dic73C22semidirect
167. C4×#11924015C22semidirect
168. C4×#11924016C22semidirect
169. #17988672C22semidirect
170. #17988672C22semidirect
173. #17988663C22semidirect
175. #17988662C22semidirect
176. #17988638C22semidirect
178. #17988637C22semidirect
180. #17988610C22semidirect
181. #17988609C22semidirect
184. #17988589C22semidirect
185. #17988588C22semidirect
186. #17988587C22semidirect
187. #17988585C22semidirect
188. C2×#137×C73C22semidirect
192. #495×C73C22semidirect
194. #469×C73C22semidirect
195. #464×C73C22semidirect
196. #463×C73C22semidirect
199. #449×C73C22semidirect
200. #448×C73C22semidirect
201. C4×SD16×C73C22semidirect
910. #3275D73semidirect
924. C73#61997semidirect
928. C2×#137C2×D73semidirect
979. #495C2×D73semidirect
1011. #469C2×D73semidirect
1023. #464C2×D73semidirect
1027. #463C2×D73semidirect
1059. #449C2×D73semidirect
1063. #448C2×D73semidirect
1077. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237992
#226235472
#226229302
#226229242
#226226282
#226226222
#226222532
#226222512
#226221532
#226221512
#226221492
#226221472
#226215952
#226215912
#226215632
#226215622
#226215552
#226213212
#226212902
#226212862
#226209042
#226209022
#226208702
#226199952
#226199602
#226199572
#226194092
#226194012
#226194002
#226190592
C73×#32752
#6199773