Finite Group Databasebeta

← #33978609

Subgroups — #33978609

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623936C211yesmaximal, characteristic, complemented
2#22623536C211yesmaximal, characteristic, complemented
3#22622981C211yesmaximal, characteristic, complemented
4#22622968C211yesmaximal, characteristic, complemented
5#22622707C211yesmaximal, characteristic, complemented
6#22622639C211yesmaximal, characteristic, complemented
7#22622262C211yesmaximal, characteristic, complemented
8#22622242C211yesmaximal, characteristic, complemented
9#22621941C211yesmaximal, characteristic, complemented
10#22621939C211yesmaximal, characteristic, complemented
11#22621913C211yesmaximal, characteristic, complemented
12#22621907C211yesmaximal, characteristic, complemented
13#22621545C211yesmaximal, characteristic, complemented
14#22621529C211yesmaximal, characteristic, complemented
15#22621471C211yesmaximal, characteristic, complemented
16#22621467C211yesmaximal, characteristic, complemented
17#22621460C211yesmaximal, characteristic, complemented
18#22621333C211yesmaximal, characteristic, complemented
19#22621329C211yesmaximal, characteristic, complemented
20#22621252C211yesmaximal, characteristic, complemented
21#22620972C211yesmaximal, characteristic, complemented
22#22620965C211yesmaximal, characteristic, complemented
23#22620862C211yesmaximal, characteristic, complemented
24#22620070C211yesmaximal, characteristic, complemented
25#22620067C211yesmaximal, characteristic, complemented
26#22619950C211yesmaximal, characteristic, complemented
27#22619396C211yesmaximal, characteristic, complemented
28#22619392C211yesmaximal, characteristic, complemented
29#22619382C211yesmaximal, characteristic, complemented
30#22619043C211yesmaximal, characteristic, complemented
31C73×#3267C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556617C2211yescharacteristic
35C2×#14556611C2211yescharacteristic
36#17989319C2211yescharacteristic
37#17989312C2211yescharacteristic, complemented
38#17989296C2211yescharacteristic
39#17989295C2211yescharacteristic
40#17989285—21no—
41#17989284C2211yescharacteristic
42#17989283C2211yescharacteristic
43#17989282—21no—
44#17989282—21no—
45#17989280—21no—
46#17989263—21no—
47#17989260—21no—
48#17989258C2211yescharacteristic, complemented
49#17989258C2211yescharacteristic, complemented
50#17989256C2211yescharacteristic
51#17989256C2211yescharacteristic, complemented
52#17989255—21no—
53#17989239C2211yescharacteristic
54#17989239C2211yescharacteristic, complemented
55#17989225C2211yescharacteristic
56#17989224—21no—
57D4×C22⋊D73C2211yescharacteristic
58#17989190—21no—
59#17989189—21no—
60#17989189—21no—
61#17989138C2211yescharacteristic, complemented
62#17989133C2211yescharacteristic, complemented
63#17989133C2211yescharacteristic, complemented
64#17989132C2211yescharacteristic
65#17989123C2211yescharacteristic
66#17989123C2211yescharacteristic, complemented
67#17989123C2211yescharacteristic, complemented
68#17989119C2211yescharacteristic, complemented
69#17989116C2211yescharacteristic
70#17989114—21no—
71#17989097—21no—
72#17989093—21no—
73#17989068—21no—
74#41×Dic73C2211yescharacteristic
75C4×#11924027C2211yescharacteristic
76C2×D4×Dic73C2211yescharacteristic
77C2×#14556551—21no—
78C4×D4×D73C2211yescharacteristic
79#17988980C2211yescharacteristic, complemented
80#17988977C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic
83#17988958C2211yescharacteristic
84#17988955C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988952C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988919C2211yescharacteristic, complemented
92#17988915C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988901C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988895C2211yescharacteristic, complemented
97#17988892C2211yescharacteristic, complemented
98#17988892C2211yescharacteristic, complemented
99#17988887C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic
103#17988885C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic, complemented
106#17988844C2211yescharacteristic, complemented
107#17988840C2211yescharacteristic
108#17988837C2211yescharacteristic
109#17988835C2211yescharacteristic
110#17988835C2211yescharacteristic, complemented
111#17988832C2211yescharacteristic
112#17988830C2211yescharacteristic, complemented
113#17988823C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988818C2211yescharacteristic, complemented
116#17988811C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic
125#17988804C2211yescharacteristic
126#17988804C2211yescharacteristic, complemented
127#17988804C2211yescharacteristic, complemented
128#17988801C2211yescharacteristic, complemented
129#17988800C2211yescharacteristic
130#17988800C2211yescharacteristic, complemented
131#17988795C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic
133#17988790C2211yescharacteristic
134#17988790C2211yescharacteristic, complemented
135#17988789C2211yescharacteristic, complemented
136#17988785C2211yescharacteristic
137#17988785C2211yescharacteristic, complemented
138#17988783C2211yescharacteristic, complemented
139#17988782C2211yescharacteristic
140#17988781C2211yescharacteristic
141#17988780C2211yescharacteristic
142#17988780C2211yescharacteristic
143#17988780C2211yescharacteristic, complemented
144#17988748C2211yescharacteristic, complemented
145#17988748C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988739C2211yescharacteristic
148#17988734C2211yescharacteristic
149#17988734C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic
151#17988732C2211yescharacteristic
152#17988732C2211yescharacteristic, complemented
153#17988731C2211yescharacteristic
154#17988731C2211yescharacteristic
155#17988730C2211yescharacteristic, complemented
156#17988721C2211yescharacteristic
157#17988719C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988697C2211yescharacteristic, complemented
161#17988696C2211yescharacteristic
162#17988696C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988688C2211yescharacteristic
165#17988688C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic
167Q16×Dic73C2211yescharacteristic, complemented
168SD16×Dic73C2211yescharacteristic
169#17988672C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic
171#17988663C2211yescharacteristic
172#17988662C2211yescharacteristic
173#17988659C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180#17988609C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988589C2211yescharacteristic, complemented
183#17988588C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic, complemented
185#17988587C2211yescharacteristic, complemented
186#17988584C2211yescharacteristic, complemented
187#17988583C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×#135×C73C2211yescharacteristic
190#547×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic, complemented
193#470×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic
200#449×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic
202#435×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027D411yescharacteristic
210C22×C22⋊D73—21no—
211C2×D4×D73C2311yescharacteristic
212C23×Dic73—21no—
213C22×C4×D73—21no—
214#14556618—42no—
215#14556618—42no—
216#14556617—42no—
217#14556611—42no—
218C2×#11924018C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236C22×#10596831C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556589C2311yescharacteristic
239#14556589C2311yescharacteristic
240#14556588C2311yescharacteristic
241#14556587—21no—
242#14556587—21no—
243#14556587—21no—
244#14556587C2311yescharacteristic
245#14556587C2311yescharacteristic
246#14556587C2311yescharacteristic
247#14556586—21no—
248#14556586—21no—
249#14556586—21no—
250#14556586—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556583C2311yescharacteristic
255#14556582—21no—
256#14556582C2311yescharacteristic
257#14556582C2311yescharacteristic
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556580C2311yescharacteristic
262#14556580C2311yescharacteristic
263#14556580C2311yescharacteristic
264#14556578C2311yescharacteristic
265#14556577—21no—
266#14556577—21no—
267#14556576—21no—
268#14556576—21no—
269#14556575—21no—
270#14556575—21no—
271#14556575—21no—
272#14556575—21no—
273#14556574—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556572—21no—
281#14556571—21no—
282#14556571C2311yescharacteristic
283#14556570—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556567C2311yescharacteristic
288#14556566—21no—
289#14556566—21no—
290#14556565—21no—
291#14556565—21no—
292#14556565—21no—
293#14556565C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556565C2311yescharacteristic
296#14556565C2311yescharacteristic
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556562—21no—
312#14556562—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556560—21no—
317#14556559—21no—
318#14556559—21no—
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325#14556556—21no—
326#14556556D411yescharacteristic
327C4×D292C2311yescharacteristic
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73D411yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338#14556553—21no—
339#14556553—21no—
340#14556553—21no—
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
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⋊D73C2311yescharacteristic
353C4×C22⋊D73C2311yescharacteristic
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551D411yescharacteristic
365#14556551D411yescharacteristic
366#14556550—21no—
367#14556550—21no—
368#14556550C2311yescharacteristic
369#14556549—21no—
370#14556549—21no—
371#14556549—21no—
372#14556549D411yescharacteristic
373#14556547—21no—
374#14556547D411yescharacteristic
375#14556547D411yescharacteristic
376C2×C4⋊Dic73C2311yescharacteristic
377C2×#11924007—21no—
378C4⋊C4×D73—21no—
379C4⋊C4×D73—21no—
380C4⋊C4×D73C2311yescharacteristic
381C2×C22⋊Dic73—21no—
382C2×#11924005—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C2×C4×Dic73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
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#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443AGL(1,ℤ/8)×C73—42no—
444#135×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
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#123×C73—21no—
459#123×C73—21no—
460#123×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464#121×C73—21no—
465#121×C73—21no—
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C2×C4⋊C4×C73—21no—
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
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—41no—
486#11924029—41no—
487#11924029—41no—
488#11924029—41no—
489#11924028—44no—
490#11924028—41no—
491#11924028—41no—
492#11924028—41no—
493#11924028—41no—
494#11924027—42no—
495#11924027—82no—
496C2×Dic146—21no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
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—44no—
522C2×C22⋊D73C2×D411yescharacteristic
523C2×C22⋊D73C2×D411yescharacteristic
524D4×D73—22no—
525D4×D73—41no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—82no—
533C22×Dic73C2×D411yescharacteristic
534C22×Dic73C2×D411yescharacteristic
535C22×Dic73C2×D411yescharacteristic
536C22×Dic73C2×D411yescharacteristic
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—82no—
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550#11924018—41no—
551#11924017—41no—
552#11924016—22no—
553#11924016—41no—
554#11924015—41no—
555#11924015—41no—
556#11924015—41no—
557#11924015—41no—
558D584—41no—
559D584—41no—
560#11924013—22no—
561#11924013—22no—
562#11924013—41no—
563#11924013—41no—
564#11924013—41no—
565#11924012—41no—
566#11924011—41no—
567#11924011—41no—
568C2×#10596831—41no—
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
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⋊Dic73C2×D411yescharacteristic
613C22⋊Dic73C2×D411yescharacteristic
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
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#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
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—
652#41×C73—41no—
653#41×C73—41no—
654C2×Q8×C73C2411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×D4×C73—22no—
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×C73C2×D411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675Q16×C73—41no—
676Q16×C73—41no—
677SD16×C73—22no—
678SD16×C73—22no—
679SD16×C73—41no—
680SD16×C73—41no—
681SD16×C73—41no—
682D8×C73—22no—
683D8×C73—41no—
684M16×C73—41no—
685C2×C8×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×C73—21no—
694C4⋊C4×C73—21no—
695C4⋊C4×C73C2×D411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
706C22⋊C4×C73C2×D411yescharacteristic
707C22⋊C4×C73C2×D411yescharacteristic
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—21no—
712C23×C73—42no—
713C23×C73—42no—
714C23×C73—81no—
715C23×C73C22×D411yescharacteristic
716C23×C73C22×D411yescharacteristic
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—21no—
720C22×D73—42no—
721C22×D73—42no—
722C22×D73—81no—
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—41no—
736D4×C73—42no—
737D4×C73—42no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73H(5,𝔽2)12yes—
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×C73—81no—
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C2511yescharacteristic
761C22⋊D73—22no—
762C22⋊D73—41no—
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—
775C22⋊D73—81no—
776C22⋊D73—81no—
777C22⋊D73—81no—
778C2×Dic73—22no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—41no—
785C2×Dic73—41no—
786C2×Dic73—41no—
787C2×Dic73—42no—
788C2×Dic73—42no—
789C2×Dic73—42no—
790C2×Dic73—81no—
791C2×Dic73—81no—
792C2×Dic73—81no—
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800D292—21no—
801D292—21no—
802D292—21no—
803D292—21no—
804D292—21no—
805D292—21no—
806D292—42no—
807D292—81no—
808D292—81no—
809D292—81no—
810C4×D73—21no—
811C4×D73—21no—
812C4×D73—41no—
813C4×D73—41no—
814C4×D73—42no—
815C4×D73—42no—
816C4×D73—42no—
817C4×D73—81no—
818C4×D73—81no—
819C4×D73—81no—
820C4×D73—81no—
821C4×D73—81no—
822C4×D73—81no—
823Dic146—22no—
824Dic146—21no—
825Dic146—21no—
826Dic146—81no—
827C8×C73—21no—
828C8×C73—21no—
829C8×C73—21no—
830C8×C73—21no—
831#10596831—21no—
832#10596831—21no—
833#10596831—21no—
834#10596831—21no—
835C22×C73—21no—
836C22×C73—21no—
837C22×C73—22no—
838C22×C73—21no—
839C22×C73—21no—
840C22×C73—21no—
841C22×C73—21no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—41no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—84no—
851C22×C73C23×D411yescharacteristic
852C2×D73—21no—
853C2×D73—21no—
854C2×D73—21no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—41no—
858C2×D73—41no—
859C2×D73—41no—
860C2×D73—41no—
861C2×D73—41no—
862C2×D73—41no—
863C2×D73—41no—
864C2×D73—84no—
865C4×C73—21no—
866C4×C73—21no—
867C4×C73—21no—
868C4×C73—21no—
869C4×C73—41no—
870C4×C73—41no—
871C4×C73—41no—
872C4×C73—41no—
873C4×C73—41no—
874C4×C73C2×H(5,𝔽2)11yescharacteristic
875C4×C73#58511yescharacteristic
876Dic73—21no—
877Dic73—21no—
878Dic73—21no—
879Dic73—21no—
880Dic73—21no—
881Dic73—21no—
882Dic73—41no—
883Dic73—41no—
884Dic73—41no—
885Dic73—41no—
886Dic73—41no—
887Dic73#57512yes—
888#61974—731nomaximal, Sylow
889C2×C73—42no—
890C2×C73—41no—
891C2×C73—41no—
892C2×C73—81no—
893C2×C73—81no—
894C2×C73#348811yescharacteristic
895C2×C73C2×#57511yescharacteristic
896C2×C73#358511yescharacteristic
897D73—41no—
898D73—81no—
899D73—81no—
900D73—81no—
901#3517—731no—
902#3481—731no—
903#3400—731no—
904#3399—731no—
905#3372—731no—
906#3366—731no—
907#3333—731no—
908#3331—731no—
909#3309—731no—
910#3309—731no—
911#3307—731no—
912#3307—731no—
913#3274—731no—
914#3272—731no—
915#3268—731no—
916#3268—731no—
917#3267—731no—
918#3267D7311yescharacteristic, complemented
919#3256—731no—
920#3256—731no—
921#3247—731no—
922#3219—731no—
923#3219—731no—
924#3207—731no—
925#3114—731no—
926#3114—731no—
927#3102—731no—
928#3036—731no—
929#3036—731no—
930#3035—731no—
931#2989—731no—
932C73#6197411yescharacteristic, complemented, Sylow
933C2×AGL(1,ℤ/8)—731no—
934C2×AGL(1,ℤ/8)—731no—
935C2×AGL(1,ℤ/8)—731no—
936C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
937C2×#135—731no—
938C2×#135C2×D7311yescharacteristic
939#559—731no—
940#557—731no—
941#554—731no—
942#554—731no—
943#553—731no—
944#553—731no—
945#553—1461no—
946#553—1461no—
947#553—1461no—
948#553—1461no—
949#551—1461no—
950#551—1461no—
951#550—731no—
952#550—731no—
953#550—731no—
954#550—731no—
955#550—1461no—
956#547—731no—
957#547—731no—
958#547C2×D7311yescharacteristic, complemented
959#546—731no—
960#546—1461no—
961#546C2×D7311yescharacteristic
962D42—731no—
963#540—1461no—
964#540—1461no—
965#540—1461no—
966#532—731no—
967#532—731no—
968#532—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#529—731no—
974#529—731no—
975#529—1461no—
976#525—1461no—
977#525—1461no—
978#520—1461no—
979C4×#41—731no—
980C4×#41—731no—
981C2×C4×D4—731no—
982C2×C4×D4—731no—
983C2×C4×D4—1461no—
984#497—731no—
985#497C2×D7311yescharacteristic, complemented
986#496—731no—
987#496—731no—
988#493—731no—
989#492—731no—
990#491—731no—
991#491—731no—
992#490—731no—
993#490—731no—
994#487—731no—
995#486—731no—
996#485—731no—
997#483—731no—
998#483—731no—
999#482—731no—
1000#480—731no—
1001#480—731no—
1002#479—731no—
1003#479—731no—
1004#479—731no—
1005#478—731no—
1006#478—731no—
1007#478—731no—
1008#478—731no—
1009#478—731no—
1010#477—731no—
1011#476—731no—
1012#470—731no—
1013#470C2×D7311yescharacteristic, complemented
1014#469—731no—
1015#469—731no—
1016#468—731no—
1017#468—731no—
1018#468—731no—
1019#468—731no—
1020#466—731no—
1021#466—731no—
1022#465—731no—
1023#465C2×D7311yescharacteristic, complemented
1024#464—731no—
1025#464—731no—
1026#464—731no—
1027#464—731no—
1028#464—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463—731no—
1034#463—731no—
1035#463—731no—
1036#463—731no—
1037#463—731no—
1038#463—731no—
1039#463C2×D7311yescharacteristic, complemented
1040#462—731no—
1041#461—731no—
1042#461—731no—
1043#461—731no—
1044#461—731no—
1045#461C2×D7311yescharacteristic
1046#460—731no—
1047#460—731no—
1048#459—731no—
1049#459—731no—
1050#459—731no—
1051#459—731no—
1052#459—731no—
1053#459—731no—
1054#452—731no—
1055#452—731no—
1056#452—731no—
1057#452C2×D7311yescharacteristic
1058#452C2×D7311yescharacteristic, complemented
1059#450—731no—
1060#450C2×D7311yescharacteristic
1061#449—731no—
1062#449—731no—
1063#449—731no—
1064#449—731no—
1065#449—731no—
1066#449—731no—
1067#449—731no—
1068#449—731no—
1069#449C2×D7311yescharacteristic, complemented
1070#447—731no—
1071#447—731no—
1072#446—731no—
1073#446—731no—
1074#442—731no—
1075#442—731no—
1076#442—731no—
1077#442C2×D7311yescharacteristic
1078#440—731no—
1079#440—731no—
1080#440—731no—
1081#440—731no—
1082C4×Q16—731no—
1083C4×SD16—731no—
1084C4×SD16—731no—
1085C4×D8—731no—
1086#436—731no—
1087#436—731no—
1088#435—731no—
1089#435—731no—
1090#435—731no—
1091#435C2×D7311yescharacteristic, complemented
1092#432—731no—
1093#432—731no—
1094#431—731no—
1095#423—731no—
1096#423—731no—
1097C2×C4⋊C8—731no—
1098#417—731no—
1099#417—731no—
1100#417—731no—
1101#417—731no—
1102#416—731no—
1103#416—731no—
1104C2×#41—731no—
1105C2×#41—731no—
1106C2×#41—731no—
1107C2×#41—731no—
1108C2×#41—731no—
1109C2×#41—1461no—
1110C2×#41—1461no—
1111C2×#41C22×D7311yescharacteristic
1112C2×#41C22×D7311yescharacteristic
1113C2×#41C22×D7311yescharacteristic
1114C22×D4—731no—
1115C22×D4—1461no—
1116C22×D4C22×D7311yescharacteristic
1117C23×C4—1461no—
1118C23×C4—1461no—
1119AGL(1,ℤ/8)—42no—
1120AGL(1,ℤ/8)—2922no—
1121AGL(1,ℤ/8)—2922no—
1122AGL(1,ℤ/8)—2922no—
1123#135—42no—
1124#135—2922no—
1125C2×Q16—731no—
1126C2×Q16C22×D7311yescharacteristic
1127C2×Q16C22×D7311yescharacteristic
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16—731no—
1133C2×SD16—731no—
1134C2×SD16—731no—
1135C2×SD16C22×D7311yescharacteristic
1136C2×SD16C22×D7311yescharacteristic
1137C2×SD16C22×D7311yescharacteristic
1138C2×SD16C22×D7311yescharacteristic
1139C2×SD16C22×D7311yescharacteristic
1140C2×D8—731no—
1141C2×D8—731no—
1142C2×D8—731no—
1143C2×D8—731no—
1144C2×D8—731no—
1145C2×D8—731no—
1146C2×D8—731no—
1147C2×D8C22×D7311yescharacteristic
1148C2×D8C22×D7311yescharacteristic
1149C2×M16—731no—
1150C2×M16—731no—
1151C2×M16—731no—
1152C2×M16C22×D7311yescharacteristic
1153C22×C8—731no—
1154C22×C8C22×D7311yescharacteristic
1155C4⋊Q8—731no—
1156C4⋊Q8—731no—
1157C4⋊Q8—731no—
1158C4⋊Q8C22×D7311yescharacteristic
1159#127—731no—
1160#127—731no—
1161#127—731no—
1162#127—731no—
1163#127—1461no—
1164#127—1461no—
1165#127—1461no—
1166#126—1461no—
1167#126—1461no—
1168#126—1461no—
1169#126—1461no—
1170#126—1461no—
1171#126—1461no—
1172#126—1461no—
1173#125—731no—
1174#125—731no—
1175#125—731no—
1176#125—1461no—
1177#125—1461no—
1178#125—1461no—
1179#125—1461no—
1180#124—731no—
1181#124—731no—
1182#124—731no—
1183#124—731no—
1184#124—1461no—
1185#124—1461no—
1186#124C22×D7311yescharacteristic
1187#123—21no—
1188#123—21no—
1189#123—21no—
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—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204C22⋊Q8—731no—
1205C22⋊Q8—731no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8C22×D7311yescharacteristic
1212C22⋊Q8C22×D7311yescharacteristic
1213C22⋊Q8C22×D7311yescharacteristic
1214#121—21no—
1215#121—21no—
1216#121—731no—
1217#121—731no—
1218#121—731no—
1219#121—731no—
1220#121—731no—
1221#121—731no—
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#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121C22×D7311yescharacteristic
1245#120—21no—
1246#120—1461no—
1247#120—1461no—
1248#120—1461no—
1249C4×Q8—731no—
1250C4×Q8—731no—
1251C4×Q8—731no—
1252C4×Q8—731no—
1253C4×Q8—731no—
1254C4×Q8—731no—
1255C4×Q8—731no—
1256C4×Q8—1461no—
1257C4×D4—731no—
1258C4×D4—731no—
1259C4×D4—731no—
1260C4×D4—731no—
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×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4C22×D7311yescharacteristic
1297C4×D4C22×D7311yescharacteristic
1298C4×D4C22×D7311yescharacteristic
1299#117—731no—
1300#117—731no—
1301#117—731no—
1302#117—731no—
1303#117—1461no—
1304#117—1461no—
1305#117—1461no—
1306#117—1461no—
1307#117—1461no—
1308#117—1461no—
1309C2×C4⋊C4—21no—
1310C2×C4⋊C4—731no—
1311C2×C4⋊C4—731no—
1312C2×C4⋊C4—1461no—
1313C2×C4⋊C4—1461no—
1314C2×C4⋊C4—1461no—
1315C2×C22⋊C4—21no—
1316C2×C22⋊C4—1461no—
1317C2×C22⋊C4—1461no—
1318C2×C22⋊C4—1461no—
1319C2×C42—731no—
1320C2×C42—731no—
1321C2×C42—731no—
1322C2×C42—1461no—
1323#107—731no—
1324#107—731no—
1325#107—731no—
1326#107—731no—
1327#106—731no—
1328#106—731no—
1329#106—731no—
1330#106C22×D7311yescharacteristic
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8—731no—
1335C4⋊C8—731no—
1336C4⋊C8—731no—
1337C4⋊C8—731no—
1338C4⋊C8—731no—
1339C4⋊C8—731no—
1340C4⋊C8C22×D7311yescharacteristic
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103—731no—
1347#103—731no—
1348#103—731no—
1349#103—731no—
1350#103—731no—
1351#103—731no—
1352#103C22×D7311yescharacteristic
1353#103C22×D7311yescharacteristic
1354#103C22×D7311yescharacteristic
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102—731no—
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102C22×D7311yescharacteristic
1371#102C22×D7311yescharacteristic
1372#102C22×D7311yescharacteristic
1373C22⋊C8—731no—
1374C22⋊C8—731no—
1375C22⋊C8—731no—
1376C22⋊C8—731no—
1377C22⋊C8C22×D7311yescharacteristic
1378C22⋊C8C22×D7311yescharacteristic
1379#97—731no—
1380#97—731no—
1381#97—731no—
1382#97C22×D7311yescharacteristic
1383C4×C8—731no—
1384C4×C8—731no—
1385C24—21no—
1386C24—1461no—
1387#41—22no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—41no—
1393#41—2921no—
1394#41—2921no—
1395#41—2921no—
1396#41—2921no—
1397#41—2924no—
1398#41—2922no—
1399#41—2921no—
1400#41—2921no—
1401#41—2921no—
1402#41—2921no—
1403#41—5842no—
1404C2×Q8—731no—
1405C2×Q8—731no—
1406C2×Q8—1461no—
1407C2×Q8C23×D7311yescharacteristic
1408C2×Q8C23×D7311yescharacteristic
1409C2×Q8C23×D7311yescharacteristic
1410C2×D4—22no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—41no—
1417C2×D4—2924no—
1418C2×D4—2921no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—731no—
1422C2×D4—731no—
1423C2×D4—731no—
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—1462no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4—1461no—
1440C2×D4—1461no—
1441C2×D4—1461no—
1442C2×D4—1461no—
1443C2×D4—1461no—
1444C2×D4D4×D7311yescharacteristic
1445C2×D4C23×D7311yescharacteristic
1446C2×D4C23×D7311yescharacteristic
1447C2×D4C23×D7311yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—5842no—
1454C22×C4—5842no—
1455C22×C4—731no—
1456C22×C4—731no—
1457C22×C4—731no—
1458C22×C4—731no—
1459C22×C4—731no—
1460C22×C4—731no—
1461C22×C4—731no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4—1461no—
1467C22×C4—1461no—
1468C22×C4—1461no—
1469C22×C4—1461no—
1470C22×C4—1461no—
1471C22×C4—1461no—
1472C22×C4—1461no—
1473C22×C4—1461no—
1474C22×C4—1461no—
1475C22×C4—1461no—
1476C22×C4—1461no—
1477C22×C4C23×D7311yescharacteristic
1478C22×C4C23×D7311yescharacteristic
1479Q16—41no—
1480Q16—41no—
1481Q16—2921no—
1482SD16—22no—
1483SD16—22no—
1484SD16—41no—
1485SD16—41no—
1486SD16—41no—
1487SD16—2921no—
1488SD16—2921no—
1489SD16—2921no—
1490SD16—2921no—
1491SD16—2921no—
1492SD16—2921no—
1493SD16—1462no—
1494D8—22no—
1495D8—41no—
1496D8—2921no—
1497D8—2921no—
1498D8—2921no—
1499D8—2921no—
1500D8—2921no—
1501D8—1462no—
1502D8—1462no—
1503M16—41no—
1504M16—2921no—
1505M16—2921no—
1506M16—2921no—
1507C2×C8—41no—
1508C2×C8—2921no—
1509C2×C8—731no—
1510C2×C8—731no—
1511C2×C8—731no—
1512C2×C8—731no—
1513C2×C8C23×D7311yescharacteristic
1514C2×C8C23×D7311yescharacteristic
1515C2×C8C23×D7311yescharacteristic
1516C2×C8C23×D7311yescharacteristic
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—731no—
1523C4⋊C4—731no—
1524C4⋊C4—731no—
1525C4⋊C4—731no—
1526C4⋊C4—731no—
1527C4⋊C4—731no—
1528C4⋊C4—731no—
1529C4⋊C4—731no—
1530C4⋊C4—731no—
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⋊C4—1461no—
1542C4⋊C4—1461no—
1543C4⋊C4—1461no—
1544C4⋊C4—1461no—
1545C4⋊C4—1461no—
1546C4⋊C4—1461no—
1547C4⋊C4—1461no—
1548C4⋊C4—1461no—
1549C4⋊C4—1461no—
1550C4⋊C4—1461no—
1551C4⋊C4D4×D7311yescharacteristic
1552C4⋊C4C23×D7311yescharacteristic
1553C4⋊C4C23×D7311yescharacteristic
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—731no—
1563C22⋊C4—731no—
1564C22⋊C4—731no—
1565C22⋊C4—731no—
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⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4D4×D7311yescharacteristic
1593C22⋊C4D4×D7311yescharacteristic
1594C42—731no—
1595C42—731no—
1596C42—731no—
1597C42—731no—
1598C42—731no—
1599C42—731no—
1600C42—731no—
1601C42—731no—
1602C42—731no—
1603C42—1461no—
1604C42—1461no—
1605C42—1461no—
1606C42—1461no—
1607C42—1461no—
1608C42—1461no—
1609C42C23×D7311yescharacteristic
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—42no—
1614C23—42no—
1615C23—81no—
1616C23—2922no—
1617C23—2922no—
1618C23—5841no—
1619C23—731no—
1620C23—1461no—
1621C23—1461no—
1622C23—1461no—
1623C23C2×D4×D7311yescharacteristic
1624C23C2×D4×D7311yescharacteristic
1625Q8—21no—
1626Q8—21no—
1627Q8—21no—
1628Q8—21no—
1629Q8—21no—
1630Q8—21no—
1631Q8—5841no—
1632Q8—1462no—
1633Q8—1461no—
1634Q8—1461no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—21no—
1640D4—41no—
1641D4—42no—
1642D4—42no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—2922no—
1647D4—2922no—
1648D4—2922no—
1649D4—2922no—
1650D4—2922no—
1651D4—2922no—
1652D4—2921no—
1653D4—2922no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—5841no—
1662D4—5841no—
1663D4—5841no—
1664D4—5841no—
1665D4—5841no—
1666D4—1462no—
1667D4—1461no—
1668D4—1461no—
1669D4—1461no—
1670D4—1461no—
1671D4—1461no—
1672D4—1461no—
1673D4#1455663612yes—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—42no—
1684C2×C4—42no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—2921no—
1689C2×C4—2921no—
1690C2×C4—2922no—
1691C2×C4—2922no—
1692C2×C4—2922no—
1693C2×C4—2922no—
1694C2×C4—2922no—
1695C2×C4—2922no—
1696C2×C4—2921no—
1697C2×C4—2921no—
1698C2×C4—2921no—
1699C2×C4—5841no—
1700C2×C4—5841no—
1701C2×C4—5841no—
1702C2×C4—5841no—
1703C2×C4—5841no—
1704C2×C4—5841no—
1705C2×C4—5841no—
1706C2×C4—5841no—
1707C2×C4—5841no—
1708C2×C4—731no—
1709C2×C4—731no—
1710C2×C4—731no—
1711C2×C4—731no—
1712C2×C4—731no—
1713C2×C4—731no—
1714C2×C4—731no—
1715C2×C4—1461no—
1716C2×C4—1461no—
1717C2×C4—1461no—
1718C2×C4—1461no—
1719C2×C4—1461no—
1720C2×C4—1462no—
1721C2×C4—1461no—
1722C2×C4—1461no—
1723C2×C4C2×D4×D7311yescharacteristic
1724C2×C4C2×D4×D7311yescharacteristic
1725C2×C4C2×D4×D7311yescharacteristic
1726C2×C4C2×D4×D7311yescharacteristic
1727C2×C4C24×D7311yescharacteristic
1728C8—21no—
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—1461no—
1733C8—1461no—
1734C8—1461no—
1735C8—1461no—
1736C22—21no—
1737C22—21no—
1738C22—22no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—84no—
1752C22—2921no—
1753C22—2921no—
1754C22—2921no—
1755C22—2921no—
1756C22—2921no—
1757C22—2921no—
1758C22—2921no—
1759C22—2921no—
1760C22—2921no—
1761C22—5844no—
1762C22—1461no—
1763C22—1461no—
1764C22—1461no—
1765C22C22×D4×D7311yescharacteristic
1766C4—21no—
1767C4—21no—
1768C4—21no—
1769C4—21no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—2921no—
1776C4—2921no—
1777C4—2921no—
1778C4—2921no—
1779C4—2921no—
1780C4—732no—
1781C4—1461no—
1782C4—1461no—
1783C4—1461no—
1784C4—1461no—
1785C4—1461no—
1786C4—1461no—
1787C4C2×#1455663611yescharacteristic
1788C4#1798942211yescharacteristic
1789C2—41no—
1790C2—41no—
1791C2—42no—
1792C2—81no—
1793C2—81no—
1794C2—2921no—
1795C2—5841no—
1796C2—5841no—
1797C2—5841no—
1798C2#2262359111yescharacteristic
1799C2#575×D7311yescharacteristic
1800C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3267C2
socleC22×C73C23×D4
hypercenter#3267D73
hypocenterC73#61974
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #22623936C2semidirect
2. #22623536C2semidirect
3. #22622981C2semidirect
4. #22622968C2semidirect
5. #22622707C2semidirect
6. #22622639C2semidirect
7. #22622262C2semidirect
8. #22622242C2semidirect
9. #22621941C2semidirect
10. #22621939C2semidirect
11. #22621913C2semidirect
12. #22621907C2semidirect
13. #22621545C2semidirect
14. #22621529C2semidirect
15. #22621471C2semidirect
16. #22621467C2semidirect
17. #22621460C2semidirect
18. #22621333C2semidirect
19. #22621329C2semidirect
20. #22621252C2semidirect
21. #22620972C2semidirect
22. #22620965C2semidirect
23. #22620862C2semidirect
24. #22620070C2semidirect
25. #22620067C2semidirect
26. #22619950C2semidirect
27. #22619396C2semidirect
28. #22619392C2semidirect
29. #22619382C2semidirect
30. #22619043C2semidirect
31. C73×#3267C2semidirect
37. #17989312C22semidirect
48. #17989258C22semidirect
49. #17989258C22semidirect
51. #17989256C22semidirect
54. #17989239C22semidirect
61. #17989138C22semidirect
62. #17989133C22semidirect
63. #17989133C22semidirect
66. #17989123C22semidirect
67. #17989123C22semidirect
68. #17989119C22semidirect
79. #17988980C22semidirect
80. #17988977C22semidirect
81. #17988973C22semidirect
84. #17988955C22semidirect
85. #17988954C22semidirect
86. #17988952C22semidirect
87. #17988950C22semidirect
88. #17988936C22semidirect
89. #17988932C22semidirect
90. #17988925C22semidirect
91. #17988919C22semidirect
92. #17988915C22semidirect
93. #17988912C22semidirect
94. #17988901C22semidirect
95. #17988899C22semidirect
96. #17988895C22semidirect
97. #17988892C22semidirect
98. #17988892C22semidirect
99. #17988887C22semidirect
100. #17988886C22semidirect
101. #17988886C22semidirect
103. #17988885C22semidirect
104. #17988880C22semidirect
105. #17988876C22semidirect
106. #17988844C22semidirect
110. #17988835C22semidirect
112. #17988830C22semidirect
113. #17988823C22semidirect
114. #17988821C22semidirect
115. #17988818C22semidirect
116. #17988811C22semidirect
117. #17988811C22semidirect
118. #17988811C22semidirect
119. #17988807C22semidirect
120. #17988806C22semidirect
121. #17988805C22semidirect
122. #17988805C22semidirect
123. #17988805C22semidirect
126. #17988804C22semidirect
127. #17988804C22semidirect
128. #17988801C22semidirect
130. #17988800C22semidirect
131. #17988795C22semidirect
134. #17988790C22semidirect
135. #17988789C22semidirect
137. #17988785C22semidirect
138. #17988783C22semidirect
143. #17988780C22semidirect
144. #17988748C22semidirect
145. #17988748C22semidirect
146. #17988747C22semidirect
149. #17988734C22semidirect
152. #17988732C22semidirect
155. #17988730C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988697C22semidirect
162. #17988696C22semidirect
163. #17988689C22semidirect
165. #17988688C22semidirect
167. Q16×Dic73C22semidirect
169. #17988672C22semidirect
173. #17988659C22semidirect
174. #17988658C22semidirect
175. #17988655C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. #17988609C22semidirect
181. C2×#14556520C22semidirect
182. #17988589C22semidirect
183. #17988588C22semidirect
184. #17988587C22semidirect
185. #17988587C22semidirect
186. #17988584C22semidirect
187. #17988583C22semidirect
190. #547×C73C22semidirect
192. #497×C73C22semidirect
193. #470×C73C22semidirect
194. #465×C73C22semidirect
195. #463×C73C22semidirect
198. #452×C73C22semidirect
200. #449×C73C22semidirect
202. #435×C73C22semidirect
918. #3267D73semidirect
932. C73#61974semidirect
958. #547C2×D73semidirect
985. #497C2×D73semidirect
1013. #470C2×D73semidirect
1023. #465C2×D73semidirect
1039. #463C2×D73semidirect
1058. #452C2×D73semidirect
1069. #449C2×D73semidirect
1091. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239362
#226235362
#226229812
#226229682
#226227072
#226226392
#226222622
#226222422
#226219412
#226219392
#226219132
#226219072
#226215452
#226215292
#226214712
#226214672
#226214602
#226213332
#226213292
#226212522
#226209722
#226209652
#226208622
#226200702
#226200672
#226199502
#226193962
#226193922
#226193822
#226190432
C73×#32672
#6197473