Finite Group Databasebeta

← #33978693

Subgroups — #33978693

Order 18688.

1916 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#22623837C211yesmaximal, characteristic, complemented
2#22623532C211yesmaximal, characteristic, complemented
3#22622992C211yesmaximal, characteristic, complemented
4#22622990C211yesmaximal, characteristic, complemented
5#22622763C211yesmaximal, characteristic, complemented
6#22622755C211yesmaximal, characteristic, complemented
7#22622044C211yesmaximal, characteristic, complemented
8#22622042C211yesmaximal, characteristic, complemented
9#22621902C211yesmaximal, characteristic, complemented
10#22621900C211yesmaximal, characteristic, complemented
11#22621839C211yesmaximal, characteristic, complemented
12#22621837C211yesmaximal, characteristic, complemented
13#22621642C211yesmaximal, characteristic, complemented
14#22621638C211yesmaximal, characteristic, complemented
15#22621454C211yesmaximal, characteristic, complemented
16#22621450C211yesmaximal, characteristic, complemented
17#22621422C211yesmaximal, characteristic, complemented
18#22621297C211yesmaximal, characteristic, complemented
19#22621250C211yesmaximal, characteristic, complemented
20#22621245C211yesmaximal, characteristic, complemented
21#22620956C211yesmaximal, characteristic, complemented
22#22620921C211yesmaximal, characteristic, complemented
23#22620904C211yesmaximal, characteristic, complemented
24#22620089C211yesmaximal, characteristic, complemented
25#22620017C211yesmaximal, characteristic, complemented
26#22619934C211yesmaximal, characteristic, complemented
27#22619392C211yesmaximal, characteristic, complemented
28#22619383C211yesmaximal, characteristic, complemented
29C2×#17988790C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3265C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C2×#14556610C2211yescharacteristic
35C22×#11924016C2211yescharacteristic
36#17989323C2211yescharacteristic
37#17989309C2211yescharacteristic, complemented
38#17989306C2211yescharacteristic, complemented
39#17989299—21no—
40#17989294C2211yescharacteristic
41#17989294C2211yescharacteristic
42#17989291—21no—
43#17989289—21no—
44#17989289C2211yescharacteristic
45#17989289C2211yescharacteristic
46#17989286—21no—
47#17989280—21no—
48#17989268—21no—
49#17989268—21no—
50#17989248C2211yescharacteristic, complemented
51#17989246C2211yescharacteristic
52#17989243C2211yescharacteristic, complemented
53#17989239C2211yescharacteristic, complemented
54#17989236C2211yescharacteristic, complemented
55#17989231—21no—
56#17989231C2211yescharacteristic
57#17989231C2211yescharacteristic
58#17989207—21no—
59#17989201—21no—
60#17989164—21no—
61#17989141C2211yescharacteristic, complemented
62#17989139C2211yescharacteristic, complemented
63#17989136C2211yescharacteristic, complemented
64#17989135C2211yescharacteristic
65#17989133C2211yescharacteristic, complemented
66#17989132C2211yescharacteristic, complemented
67C2×#14556589C2211yescharacteristic, complemented
68#17989118—21no—
69#17989118C2211yescharacteristic
70#17989118C2211yescharacteristic
71#17989093—21no—
72#17989093—21no—
73#17989066—21no—
74C4×#11924027C2211yescharacteristic
75C4×#11924027C2211yescharacteristic
76C2×D4×Dic73—21no—
77C2×D4×Dic73C2211yescharacteristic
78C2×D4×Dic73C2211yescharacteristic
79#17988978C2211yescharacteristic, complemented
80#17988978C2211yescharacteristic, complemented
81#17988974C2211yescharacteristic
82#17988970C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988926C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988915C2211yescharacteristic, complemented
94#17988906C2211yescharacteristic, complemented
95#17988903C2211yescharacteristic, complemented
96#17988893C2211yescharacteristic, complemented
97#17988892C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988875C2211yescharacteristic
102#17988875C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988873C2211yescharacteristic, complemented
105#17988872C2211yescharacteristic, complemented
106#17988845C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic
109#17988821C2211yescharacteristic
110#17988816C2211yescharacteristic, complemented
111#17988815C2211yescharacteristic, complemented
112#17988815C2211yescharacteristic, complemented
113#17988814C2211yescharacteristic, complemented
114#17988813C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988810C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988807C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic
121#17988804C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic
123#17988801C2211yescharacteristic, complemented
124#17988800C2211yescharacteristic
125#17988800C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988796C2211yescharacteristic, complemented
128#17988796C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic
130#17988790C2211yescharacteristic
131#17988790C2211yescharacteristic
132#17988790C2211yescharacteristic
133#17988790C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988790C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988790C2211yescharacteristic, complemented
138#17988790C2211yescharacteristic, complemented
139#17988786C2211yescharacteristic, complemented
140#17988784C2211yescharacteristic
141#17988780C2211yescharacteristic
142#17988780C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988751C2211yescharacteristic, complemented
145#17988750C2211yescharacteristic
146#17988749C2211yescharacteristic, complemented
147#17988746C2211yescharacteristic
148#17988745C2211yescharacteristic, complemented
149#17988743C2211yescharacteristic, complemented
150#17988738C2211yescharacteristic
151#17988731C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988730C2211yescharacteristic
154#17988729C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988725C2211yescharacteristic
157#17988721C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic
161#17988699C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic
163#17988696C2211yescharacteristic, complemented
164#17988695C2211yescharacteristic, complemented
165#17988692C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic
167#17988678C2211yescharacteristic
168#17988678C2211yescharacteristic, complemented
169SD16×Dic73C2211yescharacteristic
170SD16×Dic73C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988589C2211yescharacteristic, complemented
183#17988588C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186C2×#14556516C2211yescharacteristic, complemented
187C2×#14556515C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C22×SD16×C73C2211yescharacteristic
190#548×C73C2211yescharacteristic
191D42×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic
193#468×C73C2211yescharacteristic
194#466×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic
196#460×C73C2211yescharacteristic
197#450×C73C2211yescharacteristic
198#449×C73C2211yescharacteristic
199#448×C73C2211yescharacteristic
200#447×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic
202#435×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×#11924027D411yescharacteristic
208C2×#11924027C2311yescharacteristic
209C2×#11924027C2311yescharacteristic
210C22×Dic146C2311yescharacteristic
211C23×Dic73—21no—
212C23×Dic73—21no—
213#14556617—42no—
214#14556612—42no—
215#14556610—42no—
216C2×Dic292C2311yescharacteristic
217C2×Dic292C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924016—42no—
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924012C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556589—21no—
239#14556589—21no—
240#14556589C2311yescharacteristic
241#14556589C2311yescharacteristic
242#14556589C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556586—21no—
246#14556585—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556582—21no—
254#14556582C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556581—21no—
258#14556580—21no—
259#14556580C2311yescharacteristic
260#14556579C2311yescharacteristic
261#14556578—21no—
262#14556578—21no—
263#14556578C2311yescharacteristic
264#14556578C2311yescharacteristic
265#14556578C2311yescharacteristic
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556576—21no—
270#14556575—21no—
271#14556575—21no—
272#14556574—21no—
273#14556573—21no—
274#14556572—21no—
275#14556572—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572—21no—
280#14556572—21no—
281#14556571C2311yescharacteristic
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556570C2311yescharacteristic
285#14556570C2311yescharacteristic
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567—21no—
297#14556567C2311yescharacteristic
298#14556565—21no—
299#14556565C2311yescharacteristic
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#14556563—21no—
312#14556563—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556560—21no—
317#14556560—21no—
318Q8×Dic73C2311yescharacteristic
319C4×Dic146—21no—
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323#14556556—21no—
324#14556556D411yescharacteristic
325#14556556C2311yescharacteristic
326#14556556C2311yescharacteristic
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73D411yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348#14556553C2311yescharacteristic
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#14556551D411yescharacteristic
361#14556551D411yescharacteristic
362#14556549D411yescharacteristic
363#14556549C2311yescharacteristic
364#14556548—21no—
365#14556548—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547—21no—
371#14556547D411yescharacteristic
372#14556547D411yescharacteristic
373C2×C4⋊Dic73—21no—
374C2×C4⋊Dic73C2311yescharacteristic
375C2×C4⋊Dic73C2311yescharacteristic
376C2×#11924007—21no—
377C2×#11924007—21no—
378C2×#11924007—21no—
379C4⋊C4×D73—21no—
380C2×C22⋊Dic73—21no—
381C2×C22⋊Dic73—21no—
382C2×C22⋊Dic73—21no—
383C2×C22⋊Dic73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C2×C4×Dic73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
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#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×Q8×C73C2311yescharacteristic
441C22×D4×C73—21no—
442C22×D4×C73C2311yescharacteristic
443C22×D4×C73C2311yescharacteristic
444AGL(1,ℤ/8)×C73—42no—
445C2×SD16×C73—42no—
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×M16×C73C2311yescharacteristic
456C22×C8×C73C2311yescharacteristic
457#127×C73C2311yescharacteristic
458#124×C73—21no—
459#124×C73C2311yescharacteristic
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468#120×C73—21no—
469C4×Q8×C73C2311yescharacteristic
470C4×D4×C73—21no—
471C4×D4×C73C2311yescharacteristic
472C4×D4×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484#11924029—41no—
485#11924029—41no—
486#11924028—41no—
487#11924028—41no—
488#11924027—22no—
489#11924027—41no—
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×Dic146—41no—
499C2×Dic146—41no—
500C2×Dic146C2×D411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×D292—21no—
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⋊D73C2×D411yescharacteristic
515C2×C22⋊D73C2×D411yescharacteristic
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—82no—
530C22×Dic73—82no—
531C22×Dic73C2×D411yescharacteristic
532C22×Dic73C2×D411yescharacteristic
533C22×Dic73C2×D411yescharacteristic
534C22×Dic73C2×D411yescharacteristic
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2411yescharacteristic
541Dic292—41no—
542Dic292—41no—
543#11924018—41no—
544#11924018—41no—
545#11924017—41no—
546#11924016—22no—
547#11924016—22no—
548#11924016—41no—
549#11924016—41no—
550#11924016—41no—
551#11924016—41no—
552#11924016—41no—
553#11924013—22no—
554#11924013—41no—
555#11924013—41no—
556#11924012—41no—
557C2×#10596831—41no—
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C8×D73—41no—
563C8×D73—41no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
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#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
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⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73C2×D411yescharacteristic
619C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C24×C73—21no—
647C24×C73—21no—
648#41×C73—41no—
649#41×C73—41no—
650C2×Q8×C73—21no—
651C2×Q8×C73—41no—
652C2×Q8×C73—41no—
653C2×Q8×C73C2411yescharacteristic
654C2×Q8×C73C2411yescharacteristic
655C2×D4×C73—22no—
656C2×D4×C73—22no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—41no—
666C2×D4×C73—41no—
667C2×D4×C73—44no—
668C2×D4×C73C2×D411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C2×D4×C73C2411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73—21no—
676C22×C4×C73C2411yescharacteristic
677C22×C4×C73C2411yescharacteristic
678SD16×C73—22no—
679SD16×C73—22no—
680SD16×C73—41no—
681SD16×C73—41no—
682SD16×C73—41no—
683SD16×C73—41no—
684D8×C73—22no—
685D8×C73—41no—
686D8×C73—41no—
687M16×C73—41no—
688C2×C8×C73—41no—
689C2×C8×C73C2411yescharacteristic
690C2×C8×C73C2411yescharacteristic
691C2×C8×C73C2411yescharacteristic
692C2×C8×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
706C22⋊C4×C73C2×D411yescharacteristic
707C42×C73—21no—
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—21no—
712C23×C73—21no—
713C23×C73—42no—
714C23×C73—42no—
715C23×C73—42no—
716C23×C73—42no—
717C23×C73—81no—
718C23×C73—81no—
719C23×C73C22×D411yescharacteristic
720C23×C73C22×D411yescharacteristic
721C22×D73—21no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—81no—
728D4×C73—22no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—42no—
737D4×C73—42no—
738D4×C73—42no—
739D4×C73—42no—
740D4×C73—42no—
741D4×C73—42no—
742D4×C73—81no—
743D4×C73—81no—
744D4×C73H(5,𝔽2)12yes—
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—21no—
752C2×C4×C73—21no—
753C2×C4×C73—42no—
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—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C2×Dic73—22no—
772C2×Dic73—22no—
773C2×Dic73—22no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—41no—
782C2×Dic73—42no—
783C2×Dic73—42no—
784C2×Dic73—42no—
785C2×Dic73—42no—
786C2×Dic73—42no—
787C2×Dic73—81no—
788C2×Dic73—81no—
789C2×Dic73—81no—
790C2×Dic73—81no—
791C2×Dic73—81no—
792C2×Dic73—81no—
793C2×Dic73—81no—
794C2×Dic73—81no—
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800C2×Dic73C22×D411yescharacteristic
801C2×Dic73C22×D411yescharacteristic
802D292—21no—
803D292—21no—
804D292—81no—
805C4×D73—21no—
806C4×D73—21no—
807C4×D73—22no—
808C4×D73—41no—
809C4×D73—42no—
810C4×D73—81no—
811C4×D73—81no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—21no—
818Dic146—41no—
819Dic146—42no—
820Dic146—81no—
821Dic146—81no—
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—22no—
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—41no—
846C22×C73—41no—
847C22×C73—84no—
848C22×C73—84no—
849C22×C73#57512yes—
850C22×C73C23×D411yescharacteristic
851C2×D73—21no—
852C2×D73—21no—
853C2×D73—21no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C4×C73—21no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73C2×H(5,𝔽2)11yescharacteristic
866C4×C73#58511yescharacteristic
867Dic73—21no—
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—41no—
874Dic73—41no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73#57712yes—
881#61978—731nomaximal, Sylow
882C2×C73—22no—
883C2×C73—41no—
884C2×C73—42no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73#348811yescharacteristic
889C2×C73C2×#57511yescharacteristic
890C2×C73C2×#57711yescharacteristic
891D73—41no—
892D73—81no—
893#3511—731no—
894#3481—731no—
895#3401—731no—
896#3401—731no—
897#3376—731no—
898#3376—731no—
899#3316—731no—
900#3316—731no—
901#3307—731no—
902#3307—731no—
903#3301—731no—
904#3301—731no—
905#3282—731no—
906#3282—731no—
907#3267—731no—
908#3267—731no—
909#3265—731no—
910#3265D7311yescharacteristic, complemented
911#3252—731no—
912#3247—731no—
913#3246—731no—
914#3218—731no—
915#3214—731no—
916#3212—731no—
917#3116—731no—
918#3109—731no—
919#3101—731no—
920#3036—731no—
921#3035—731no—
922C2×#461—731no—
923#2990—731no—
924C73#6197811yescharacteristic, complemented, Sylow
925C2×AGL(1,ℤ/8)—731no—
926C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
927C2×#135—731no—
928C2×#135—731no—
929C22×SD16—731no—
930C22×SD16C2×D7311yescharacteristic
931#559—731no—
932#556—731no—
933#556—731no—
934#555—1461no—
935#554—731no—
936#554—731no—
937#554—1461no—
938#553—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#553—1461no—
943#551—1461no—
944#551—1461no—
945#548—731no—
946#548—731no—
947#548—731no—
948#548C2×D7311yescharacteristic
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—1461no—
954D42C2×D7311yescharacteristic
955#542—1461no—
956#542—1461no—
957#537—1461no—
958#533—731no—
959#533—731no—
960#532—731no—
961#532—731no—
962#532—731no—
963#532—731no—
964C2×C4⋊Q8—731no—
965#529—731no—
966#529—731no—
967#529—1461no—
968#525—1461no—
969#525—1461no—
970#520—1461no—
971C4×#41—731no—
972C4×#41—731no—
973C2×C4×D4—731no—
974C2×C4×D4—731no—
975C2×C4×D4—1461no—
976#497—731no—
977#497—731no—
978#496—731no—
979#496C2×D7311yescharacteristic
980#495—731no—
981#495—731no—
982#491—731no—
983#491—731no—
984#489—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#485—731no—
989#485—731no—
990#483—731no—
991#483—731no—
992#481—731no—
993#481—731no—
994#479—731no—
995#479—731no—
996#478—731no—
997#478—731no—
998#477—731no—
999#476—731no—
1000#476—731no—
1001#476—731no—
1002#475—731no—
1003#475—731no—
1004#470—731no—
1005#470—731no—
1006#468—731no—
1007#468C2×D7311yescharacteristic
1008#466—731no—
1009#466C2×D7311yescharacteristic
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465—731no—
1015#465—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463C2×D7311yescharacteristic
1028#462—731no—
1029#462—731no—
1030#461—731no—
1031#461—731no—
1032#461—731no—
1033#461—731no—
1034#461—731no—
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461—731no—
1040#460—731no—
1041#460—731no—
1042#460C2×D7311yescharacteristic
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#452—731no—
1047#452—731no—
1048#452—731no—
1049#452—731no—
1050#451—731no—
1051#451—731no—
1052#450—731no—
1053#450C2×D7311yescharacteristic
1054#449—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449C2×D7311yescharacteristic
1060#448—731no—
1061#448C2×D7311yescharacteristic
1062#447—731no—
1063#447C2×D7311yescharacteristic
1064#446—731no—
1065#446—731no—
1066#442—731no—
1067#442—731no—
1068#442—731no—
1069#442—731no—
1070#441—731no—
1071#441—731no—
1072#440—731no—
1073#440C2×D7311yescharacteristic
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078#435—731no—
1079#435—731no—
1080#435—731no—
1081#435C2×D7311yescharacteristic
1082C8×D4—731no—
1083C8×D4—731no—
1084#432—731no—
1085#432—731no—
1086#431—731no—
1087#423—731no—
1088C2×C4⋊C8—731no—
1089C2×C4⋊C8—731no—
1090#417—731no—
1091#417—731no—
1092#416—731no—
1093#416—731no—
1094C2×#103—731no—
1095C2×#103—731no—
1096C2×#41—731no—
1097C2×#41—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8—731no—
1105C22×Q8C22×D7311yescharacteristic
1106C22×D4—21no—
1107C22×D4C22×D7311yescharacteristic
1108C22×D4C22×D7311yescharacteristic
1109C23×C4—1461no—
1110C23×C4—1461no—
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—2922no—
1113#135—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×Q16—731no—
1119C2×SD16—42no—
1120C2×SD16—2922no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×SD16C22×D7311yescharacteristic
1132C2×SD16C22×D7311yescharacteristic
1133C2×SD16C22×D7311yescharacteristic
1134C2×SD16C22×D7311yescharacteristic
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×D8C22×D7311yescharacteristic
1141C2×M16—731no—
1142C2×M16C22×D7311yescharacteristic
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C22×C8C22×D7311yescharacteristic
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8—731no—
1151C4⋊Q8—731no—
1152C4⋊Q8—731no—
1153C4⋊Q8—1461no—
1154C4⋊Q8—1461no—
1155#127—731no—
1156#127C22×D7311yescharacteristic
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#125—731no—
1166#125—731no—
1167#125—1461no—
1168#125—1461no—
1169#125—1461no—
1170#124—21no—
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—1461no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124C22×D7311yescharacteristic
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195C22⋊Q8—21no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—731no—
1199C22⋊Q8—731no—
1200C22⋊Q8—731no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8C22×D7311yescharacteristic
1214#121—21no—
1215#121—21no—
1216#121—731no—
1217#121—731no—
1218#121—731no—
1219#121—1461no—
1220#121—1461no—
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#121C22×D7311yescharacteristic
1235#121C22×D7311yescharacteristic
1236#121C22×D7311yescharacteristic
1237#120—21no—
1238#120—21no—
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—1461no—
1249C4×Q8—1461no—
1250C4×Q8C22×D7311yescharacteristic
1251C4×D4—21no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
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—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
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—
1300C2×C4⋊C4—731no—
1301C2×C4⋊C4—731no—
1302C2×C4⋊C4—1461no—
1303C2×C4⋊C4—1461no—
1304C2×C4⋊C4—1461no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C22⋊C4—1461no—
1308C2×C22⋊C4—1461no—
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C42—731no—
1312C2×C42—731no—
1313C2×C42—731no—
1314C2×C42—1461no—
1315#107—731no—
1316#107C22×D7311yescharacteristic
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106—731no—
1321#106—731no—
1322#106—731no—
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#103—731no—
1345#103—731no—
1346#103—731no—
1347#103—731no—
1348#103—731no—
1349#103C22×D7311yescharacteristic
1350#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
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
1371#97—731no—
1372#97—731no—
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C24—21no—
1378C24—21no—
1379#41—41no—
1380#41—41no—
1381#41—2921no—
1382#41—2921no—
1383#41—2921no—
1384#41—2922no—
1385#41—2924no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—5842no—
1391#41—1462no—
1392C2×Q8—21no—
1393C2×Q8—41no—
1394C2×Q8—41no—
1395C2×Q8—2921no—
1396C2×Q8—2921no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—731no—
1401C2×Q8—1461no—
1402C2×Q8—1461no—
1403C2×Q8—1461no—
1404C2×Q8C23×D7311yescharacteristic
1405C2×Q8C23×D7311yescharacteristic
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—44no—
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×D4D4×D7311yescharacteristic
1432C2×D4C23×D7311yescharacteristic
1433C2×D4C23×D7311yescharacteristic
1434C2×D4C23×D7311yescharacteristic
1435C2×D4C23×D7311yescharacteristic
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—5842no—
1440C22×C4—5842no—
1441C22×C4—731no—
1442C22×C4—731no—
1443C22×C4—731no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
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—2921no—
1467Q16—2921no—
1468Q16—2921no—
1469Q16—2921no—
1470SD16—22no—
1471SD16—22no—
1472SD16—41no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—2921no—
1480SD16—2921no—
1481SD16—2921no—
1482SD16—1462no—
1483SD16—1462no—
1484D8—22no—
1485D8—41no—
1486D8—41no—
1487D8—2921no—
1488D8—2921no—
1489D8—1462no—
1490M16—41no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—2921no—
1495C2×C8—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—731no—
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—1461no—
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—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
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⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4D4×D7311yescharacteristic
1584C22⋊C4D4×D7311yescharacteristic
1585C42—21no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—731no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42C23×D7311yescharacteristic
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—42no—
1607C23—42no—
1608C23—42no—
1609C23—42no—
1610C23—81no—
1611C23—81no—
1612C23—731no—
1613C23—1461no—
1614C23C2×D4×D7311yescharacteristic
1615C23C2×D4×D7311yescharacteristic
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—81no—
1621Q8—2921no—
1622Q8—2922no—
1623Q8—5841no—
1624Q8—5841no—
1625Q8—1461no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8—1461no—
1631D4—22no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—42no—
1643D4—42no—
1644D4—42no—
1645D4—81no—
1646D4—81no—
1647D4—2922no—
1648D4—2922no—
1649D4—2922no—
1650D4—2921no—
1651D4—2922no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—1462no—
1658D4—1461no—
1659D4—1461no—
1660D4#1455663612yes—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—42no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—2921no—
1673C2×C4—2922no—
1674C2×C4—2922no—
1675C2×C4—2922no—
1676C2×C4—2922no—
1677C2×C4—2922no—
1678C2×C4—2922no—
1679C2×C4—2921no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—731no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—1462no—
1698C2×C4—1461no—
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—22no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—84no—
1741C22—84no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—1461no—
1746C22—1461no—
1747C22—1461no—
1748C22#1798938312yes—
1749C22C22×D4×D7311yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—2921no—
1759C4—2921no—
1760C4—2921no—
1761C4—2921no—
1762C4—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—732no—
1766C4—1461no—
1767C4—1461no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4C2×#1455663611yescharacteristic
1773C4#1798942211yescharacteristic
1774C2—22no—
1775C2—41no—
1776C2—42no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—2921no—
1781C2—5841no—
1782C2#2262359111yescharacteristic
1783C2C2×#1798938311yescharacteristic
1784C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3265C2
socleC22×C73C23×D4
hypercenter#3265D73
hypocenterC73#61978
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #22623837C2semidirect
2. #22623532C2semidirect
3. #22622992C2semidirect
4. #22622990C2semidirect
5. #22622763C2semidirect
6. #22622755C2semidirect
7. #22622044C2semidirect
8. #22622042C2semidirect
9. #22621902C2semidirect
10. #22621900C2semidirect
11. #22621839C2semidirect
12. #22621837C2semidirect
13. #22621642C2semidirect
14. #22621638C2semidirect
15. #22621454C2semidirect
16. #22621450C2semidirect
17. #22621422C2semidirect
18. #22621297C2semidirect
19. #22621250C2semidirect
20. #22621245C2semidirect
21. #22620956C2semidirect
22. #22620921C2semidirect
23. #22620904C2semidirect
24. #22620089C2semidirect
25. #22620017C2semidirect
26. #22619934C2semidirect
27. #22619392C2semidirect
28. #22619383C2semidirect
29. C2×#17988790C2semidirect
30. #22619051C2semidirect
31. C73×#3265C2semidirect
37. #17989309C22semidirect
38. #17989306C22semidirect
50. #17989248C22semidirect
52. #17989243C22semidirect
53. #17989239C22semidirect
54. #17989236C22semidirect
61. #17989141C22semidirect
62. #17989139C22semidirect
63. #17989136C22semidirect
65. #17989133C22semidirect
66. #17989132C22semidirect
67. C2×#14556589C22semidirect
79. #17988978C22semidirect
80. #17988978C22semidirect
82. #17988970C22semidirect
83. #17988968C22semidirect
84. #17988954C22semidirect
85. #17988954C22semidirect
86. #17988947C22semidirect
87. #17988946C22semidirect
88. #17988943C22semidirect
89. #17988940C22semidirect
90. #17988930C22semidirect
91. #17988926C22semidirect
92. #17988918C22semidirect
93. #17988915C22semidirect
94. #17988906C22semidirect
95. #17988903C22semidirect
96. #17988893C22semidirect
97. #17988892C22semidirect
98. #17988890C22semidirect
99. #17988889C22semidirect
100. #17988881C22semidirect
102. #17988875C22semidirect
103. #17988875C22semidirect
104. #17988873C22semidirect
105. #17988872C22semidirect
106. #17988845C22semidirect
107. #17988843C22semidirect
110. #17988816C22semidirect
111. #17988815C22semidirect
112. #17988815C22semidirect
113. #17988814C22semidirect
114. #17988813C22semidirect
115. #17988813C22semidirect
116. #17988810C22semidirect
117. #17988808C22semidirect
118. #17988807C22semidirect
119. #17988806C22semidirect
121. #17988804C22semidirect
123. #17988801C22semidirect
125. #17988800C22semidirect
126. #17988800C22semidirect
127. #17988796C22semidirect
128. #17988796C22semidirect
133. #17988790C22semidirect
134. #17988790C22semidirect
135. #17988790C22semidirect
136. #17988790C22semidirect
137. #17988790C22semidirect
138. #17988790C22semidirect
139. #17988786C22semidirect
142. #17988780C22semidirect
143. #17988780C22semidirect
144. #17988751C22semidirect
146. #17988749C22semidirect
148. #17988745C22semidirect
149. #17988743C22semidirect
151. #17988731C22semidirect
152. #17988731C22semidirect
154. #17988729C22semidirect
155. #17988729C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
161. #17988699C22semidirect
163. #17988696C22semidirect
164. #17988695C22semidirect
165. #17988692C22semidirect
168. #17988678C22semidirect
170. SD16×Dic73C22semidirect
171. #17988661C22semidirect
173. #17988656C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988589C22semidirect
183. #17988588C22semidirect
184. #17988582C22semidirect
185. #17988580C22semidirect
186. C2×#14556516C22semidirect
187. C2×#14556515C22semidirect
910. #3265D73semidirect
924. C73#61978semidirect

Maximal subgroups

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

subgroupindex
#226238372
#226235322
#226229922
#226229902
#226227632
#226227552
#226220442
#226220422
#226219022
#226219002
#226218392
#226218372
#226216422
#226216382
#226214542
#226214502
#226214222
#226212972
#226212502
#226212452
#226209562
#226209212
#226209042
#226200892
#226200172
#226199342
#226193922
#226193832
C2×#179887902
#226190512
C73×#32652
#6197873